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            "value" => "<p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><span style="color:#48484a;display:block;font-family:nerislight;font-size:16px;line-height:20px;margin-bottom:19px;text-align:left;"><span style="font-family: nerisblack; font-size: 26px; line-height: 32px; margin-bottom: 26px; margin-top: 8px;"><strong>Tenger a poh&aacute;rban</strong></span></span><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><span style="color:#48484a;display:block;font-family:nerislight;font-size:16px;line-height:20px;margin-bottom:19px;text-align:left;">Amikor a h&eacute;tk&ouml;znapi ember meghallja a <em>matematika</em>, <em>matematikus</em> szavakat, amolyan &bdquo;szent borzad&aacute;ly&rdquo; fogja el t&#337;l&uuml;k. <em>Hatv&aacute;nyozottan</em> igaz ez Bolyai J&aacute;nossal &eacute;s munk&aacute;ss&aacute;g&aacute;val kapcsolatban. Mind Bolyai &eacute;let&eacute;t &eacute;s munk&aacute;j&aacute;t, mind az ezekkel foglalkoz&oacute; kutat&aacute;sokat &eacute;s az eddig megjelent k&ouml;tetek mennyis&eacute;g&eacute;t illet&#337;en, nemk&uuml;l&ouml;nben az &eacute;vfordul&oacute; kapcs&aacute;n tartott sz&aacute;mos rendezv&eacute;ny hat&aacute;s&aacute;ra a borzong&aacute;son k&iacute;v&uuml;l olyan &eacute;rz&eacute;s&uuml;nk is t&aacute;mad, mintha a tengert akarn&aacute;nk belet&ouml;lteni egyetlen poh&aacute;rba. B&aacute;rmekkor&aacute;ra n&ouml;veln&eacute;nk a poh&aacute;r m&eacute;ret&eacute;t... B&aacute;torkodjunk az&eacute;rt m&eacute;gis kicsit k&ouml;zelebb l&eacute;pni, megk&oacute;stolni egy cseppet a tenger viz&eacute;b&#337;l, belehallgatni, mint morajlik a hatalmas v&iacute;zt&ouml;meg a f&uuml;l&uuml;nkh&ouml;z emelt kagyl&oacute; &uuml;reg&eacute;ben.</span></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><span style="color:#48484a;display:block;font-family:nerislight;font-size:16px;line-height:20px;margin-bottom:19px;text-align:left;">Mindenekel&#337;tt foglaljuk &ouml;ssze r&ouml;viden, mi is az az <em>Appendix. A t&eacute;r tudom&aacute;nya,</em> &eacute;s miben &aacute;ll a tudom&aacute;nyt&ouml;rt&eacute;neti jelent&#337;s&eacute;ge. A gondolkod&oacute; embert mindig is foglalkoztatta az a k&eacute;rd&eacute;s, hogy milyen az &#337;t k&ouml;r&uuml;lvev&#337; vil&aacute;g. Az anyagi vil&aacute;g t&eacute;rbeli form&aacute;it, a k&ouml;zt&uuml;k lev&#337; &ouml;sszef&uuml;gg&eacute;seket a geometria tanulm&aacute;nyozza. Ezen a ter&uuml;leten az &oacute;g&ouml;r&ouml;g matematika m&aacute;r Kr. e. a 3. sz&aacute;zadban rendk&iacute;v&uuml;l magas sz&iacute;nvonalat &eacute;rt el Euklid&eacute;sz <em>Elemek </em>c&iacute;m&#369; k&ouml;nyv&eacute;ben. Amint azt Szenkovits Ferenc matematikus, csillag&aacute;sz, a Babe&#351;&ndash;Bolyai Tudom&aacute;nyegyetem tan&aacute;r&aacute;nak november 16-i kolozsv&aacute;ri el&#337;ad&aacute;s&aacute;b&oacute;l megtudhattuk, t&ouml;bb ezer &eacute;ve foglalkoztatta a matematikusokat a p&aacute;rhuzamosok probl&eacute;m&aacute;ja: mi t&ouml;rt&eacute;nik, ha adott egyeneshez egy k&uuml;ls&#337; ponton kereszt&uuml;l egyeneseket h&uacute;zunk, ezek mind metszik-e az eredeti egyenest. M&aacute;sk&eacute;ppen fogalmazva: h&aacute;ny p&aacute;rhuzamos egyenest rajzolhatunk egy adott egyeneshez egy k&uuml;ls&#337; pontj&aacute;n &aacute;t? A tapasztalat azt mutatja: egyetlenegyet. De val&oacute;ban &iacute;gy van-e? Euklid&eacute;sz &uacute;gy oldotta fel a probl&eacute;m&aacute;t, hogy a p&aacute;rhuzamoss&aacute;got hat&aacute;rhelyzetnek tekintette, ezt posztul&aacute;tumk&eacute;nt deklar&aacute;lta, &eacute;s erre &eacute;p&iacute;tette fel geometriai rendszer&eacute;t.</span></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><span style="color:#48484a;display:block;font-family:nerislight;font-size:16px;line-height:20px;margin-bottom:19px;text-align:left;"><img alt="" src="/sites/default/files/oldfiles/f1%2BAppend.jpg"></span><strong>Az <em>Appendix</em> eredti, latin nyelv&#369; kiad&aacute;s&aacute;nak egyik oldala &eacute;s &aacute;br&aacute;i kihajthat&oacute; lapokon</strong></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><span style="color:#48484a;display:block;font-family:nerislight;font-size:16px;line-height:20px;margin-bottom:19px;text-align:left;">Az &eacute;vsz&aacute;zadok sor&aacute;n sok matematikus azt gondolta, hogy a p&aacute;rhuzamoss&aacute;gi axi&oacute;ma bizony&iacute;that&oacute;, m&aacute;s, igaz &aacute;ll&iacute;t&aacute;sokb&oacute;l levezethet&#337;. Bolyai Farkas is vizsg&aacute;lta ezt a k&eacute;rd&eacute;st sok &eacute;vtizeden &aacute;t, &aacute;m nem jutott eredm&eacute;nyre &ndash; bar&aacute;tja, Gauss, a &bdquo;matematika fejedelme&rdquo; hib&aacute;kat tal&aacute;lt a levezet&eacute;seiben. Ez&eacute;rt Farkas &oacute;vta a fi&aacute;t att&oacute;l, hogy a paralell&aacute;kkal foglalkozzon, legal&aacute;bbis arra intette, az &#337; &uacute;tj&aacute;n ne menjen. &Aacute;m J&aacute;nos m&aacute;r B&eacute;csben, katonai akad&eacute;miai &eacute;vei alatt elkezdett gondolkodni a probl&eacute;m&aacute;n. A matematika t&ouml;rt&eacute;net&eacute;ben m&aacute;r a 18. sz&aacute;zadban &aacute;ll&iacute;tott&aacute;k, hogy a p&aacute;rhuzamosok feltev&eacute;s&eacute;t el lehetne vetni, de Bolyai J&aacute;nos volt az els&#337;, aki ezt meg is tette, &eacute;s azt tapasztalta, hogy a p&aacute;rhuzamoss&aacute;gi axi&oacute;m&aacute;t&oacute;l f&uuml;ggetlen&uuml;l is nagyon sok t&eacute;tel bebizony&iacute;that&oacute;. Ezek &ouml;sszess&eacute;g&eacute;t nevezz&uuml;k ma abszol&uacute;t geometri&aacute;nak, ezt foglalta &ouml;ssze Bolyai az <em>Appendix</em>ben &ndash; magyar&aacute;zta Szenkovits Ferenc. Bolyai m&#369;ve egy&eacute;bk&eacute;nt csup&aacute;n az&eacute;rt viseli ezt a nevet &ndash; az <em>appendix</em> sz&oacute; f&uuml;ggel&eacute;ket jelent &ndash;, mert J&aacute;nos munk&aacute;ja &eacute;desapja tank&ouml;nyv&eacute;nek, a <em>Tentamen</em>nek a f&uuml;ggel&eacute;kek&eacute;nt&nbsp;jelent meg el&#337;sz&ouml;r 1832-ben.&nbsp;</span></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><span style="color:#48484a;display:block;font-family:nerislight;font-size:16px;line-height:20px;margin-bottom:19px;text-align:left;">Bolyai megt&ouml;rte az euklideszi m&eacute;rtan egyeduralm&aacute;t, &aacute;m a tapasztalat nem igazolta azonnal a nemeuklideszi geometri&aacute;t. Mi haszna ezen t&eacute;relm&eacute;letnek, ha nincs gyakorlati alkalmaz&aacute;sa &ndash; k&eacute;rdezhett&eacute;k sokan Bolyai kor&aacute;ban. Ma m&aacute;r tudjuk: Bolyai a nemeuklideszi geometria felfedez&eacute;s&eacute;vel hozz&aacute;j&aacute;rult a t&eacute;r felfog&aacute;s&aacute;nak &eacute;s vil&aacute;gk&eacute;p&uuml;nknek a megv&aacute;ltoz&aacute;s&aacute;hoz. A modern matematika 19. &eacute;s 20. sz&aacute;zadi fejl&#337;d&eacute;se nagym&eacute;rt&eacute;kben k&ouml;sz&ouml;nhet&#337; az &#337; munk&aacute;ss&aacute;g&aacute;nak, amely utat nyitott a 20. sz&aacute;zadi modern fizika elm&eacute;letei sz&aacute;m&aacute;ra is. Ekkor &eacute;s ezut&aacute;n sz&uuml;lettek Bolyai elm&eacute;let&eacute;nek alkalmaz&aacute;sai: a relativit&aacute;selm&eacute;let, az &#369;rkutat&aacute;s, a legkorszer&#369;bb anyagtudom&aacute;nyok, az orvostudom&aacute;ny sz&aacute;mos felfedez&eacute;se mind-mind Bolyai korszakalkot&oacute; elm&eacute;let&eacute;re is &eacute;p&uuml;l.</span></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><span style="color:#48484a;display:block;font-family:nerislight;font-size:16px;line-height:20px;margin-bottom:19px;text-align:left;">&bdquo;Bolyai J&aacute;nos egyetlen nyomtat&aacute;sban megjelent, t&ouml;m&ouml;r latin nyelven &iacute;rt m&#369;ve a matematikairodalom csod&aacute;latos gy&ouml;ngyszeme. L&aacute;ngelme tudom&aacute;nyt forradalmas&iacute;t&oacute; alkot&aacute;sa.&rdquo; &ndash; mondja K&aacute;rteszi Ferenc matematikus az <em>Appendix </em>&uacute;j kiad&aacute;s&aacute;nak bevezet&#337;j&eacute;ben. Szenkovits Ferenc szerint ezt a napot a magyar matematika sz&uuml;let&eacute;snapj&aacute;nak is tekinthetn&eacute;nk, hiszen ez a legkimagasl&oacute;bb eredm&eacute;ny, amit valaha magyar matematikus el&eacute;rt.</span></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><span style="color:#48484a;display:block;font-family:nerislight;font-size:16px;line-height:20px;margin-bottom:19px;text-align:left;"><span style="font-family: nerisblack; font-size: 26px; line-height: 32px; margin-bottom: 26px; margin-top: 8px;"><strong>Temesv&aacute;r &ndash;&nbsp;</strong><strong>tudom&aacute;nyos el&#337;ad&aacute;sok</strong></span></span></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><span style="color:#48484a;display:block;font-family:nerislight;font-size:16px;line-height:20px;margin-bottom:19px;text-align:left;">Temesv&aacute;r id&eacute;n b&uuml;szk&eacute;n viselhette az <em>Eur&oacute;pa kultur&aacute;lis f&#337;v&aacute;rosa</em> c&iacute;met, amelyhez mi sem illik jobban, mint a zseni&aacute;lis matematikusr&oacute;l, Bolyai J&aacute;nosr&oacute;l val&oacute; megeml&eacute;kez&eacute;s &ndash; ann&aacute;l ink&aacute;bb, mivel Bolyai a b&eacute;csi hadm&eacute;rn&ouml;ki akad&eacute;mia elv&eacute;gz&eacute;se ut&aacute;n h&aacute;rom &eacute;ven kereszt&uuml;l a temesv&aacute;ri er&#337;d&iacute;t&eacute;si igazgat&oacute;s&aacute;gon dolgozott, &eacute;s 1823. november 3-&aacute;n &ndash; mind&ouml;ssze huszonegy &eacute;vesen &ndash; e v&aacute;rosb&oacute;l &iacute;rta &eacute;desapj&aacute;nak, Bolyai Farkasnak azt a levelet, amelyben el&#337;sz&ouml;r adott h&iacute;rt arr&oacute;l, hogy &uacute;j geometriai rendszer megalkot&aacute;s&aacute;n dolgozik. Eml&eacute;k&eacute;t &ouml;t (rom&aacute;n, magyar, n&eacute;met, angol, szerb) nyelv&#369; t&aacute;bla &#337;rzi Temesv&aacute;r belv&aacute;ros&aacute;ban.</span></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><span style="color:#48484a;display:block;font-family:nerislight;font-size:16px;line-height:20px;margin-bottom:19px;text-align:left;"><img alt="" src="/sites/default/files/oldfiles/f3%2BTEM%2BUj%2BEvezred.jpg"></span><strong>A temesv&aacute;ri <em>Bolyai 200</em> m&#369;v&eacute;szeti &eacute;s tudom&aacute;nyos fesztiv&aacute;l rendezv&eacute;nyeinek f&#337; helysz&iacute;ne a Makovecz Imre tervezte &Uacute;j Ezred&eacute;v Reform&aacute;tus K&ouml;zpont volt. (Fot&oacute;: Orosz S&aacute;ndor)</strong></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><span style="color:#48484a;display:block;font-family:nerislight;font-size:16px;line-height:20px;margin-bottom:19px;text-align:left;">A november elej&eacute;n Temesv&aacute;ron lezajlott <em>Bolyai 200 </em>m&#369;v&eacute;szeti &eacute;s tudom&aacute;nyos fesztiv&aacute;l f&#337;szervez&#337;je a temesv&aacute;ri Bart&oacute;k B&eacute;la Alap&iacute;tv&aacute;ny volt<em>, </em>t&aacute;rsszervez&#337;k az MTA Kolozsv&aacute;ri Akad&eacute;miai Bizotts&aacute;g&aacute;nak b&aacute;ns&aacute;gi munkacsoportja, az Erd&eacute;lyi M&uacute;zeum-Egyes&uuml;let, a Szimmetria Alap&iacute;tv&aacute;ny &eacute;s az &Oacute;budai Egyetem. Lelkes, idej&uuml;ket, erej&uuml;ket a k&ouml;z&ouml;ss&eacute;gi c&eacute;lnak szentel&#337; munkat&aacute;rsaik k&ouml;z&uuml;l k&uuml;l&ouml;n elismer&eacute;s &eacute;s k&ouml;sz&ouml;net illeti a k&eacute;t f&#337;szervez&#337;t, Nagy-Gy&ouml;rgy Tam&aacute;st, a Temesv&aacute;ri M&#369;szaki Egyetem tan&aacute;r&aacute;t, &eacute;p&iacute;t&eacute;szm&eacute;rn&ouml;k&ouml;t &eacute;s Erdei Ildik&oacute; tan&aacute;rt, a Bart&oacute;k B&eacute;la-l&iacute;ceum igazgat&oacute;j&aacute;t, a Bart&oacute;k Alap&iacute;tv&aacute;ny eln&ouml;k&eacute;t. A rendezv&eacute;nyek z&ouml;m&eacute;nek a Makovecz Imre tervezte &Uacute;j Ezred&eacute;v Reform&aacute;tus K&ouml;zpont adott otthont. A h&aacute;romnapos el&#337;ad&aacute;s-sorozat nem kiz&aacute;r&oacute;lag matematika&ndash;fizika konferencia volt, hiszen sz&aacute;mos olyan rendezv&eacute;nyt is mag&aacute;ba foglalt, amely bemutatta a Bolyaiak sz&eacute;les k&ouml;r&#369; munk&aacute;ss&aacute;g&aacute;t, amelyet a kert&eacute;szet, a bor&aacute;szat, az erd&eacute;szet, a kemence&eacute;p&iacute;t&eacute;s, az irodalom, a zeneelm&eacute;let, a nyelv&eacute;szet &eacute;s az &bdquo;&uuml;dvtan&rdquo; ter&eacute;n kifejtett e k&eacute;t kiv&eacute;telesen tehets&eacute;ges, sokoldal&uacute; gondolkod&oacute;, apa &eacute;s fia, Farkas &eacute;s J&aacute;nos. Tov&aacute;bb&aacute; nagyon j&oacute; alkalmat ny&uacute;jtott a konferencia t&ouml;bb kiv&aacute;l&oacute; Bolyai-kutat&oacute;r&oacute;l val&oacute; megeml&eacute;kez&eacute;sre, &eacute;s a megkezdett kutat&oacute;munka folytat&aacute;s&aacute;hoz sz&uuml;ks&eacute;ges &uacute;t kijel&ouml;l&eacute;s&eacute;re.</span></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><span style="color:#48484a;display:block;font-family:nerislight;font-size:16px;line-height:20px;margin-bottom:19px;text-align:left;">A konferenci&aacute;ra sz&aacute;mos hazai megh&iacute;vott el&#337;ad&oacute; mellett Magyarorsz&aacute;gr&oacute;l, B&eacute;csb&#337;l &eacute;s Kijevb&#337;l is &eacute;rkeztek kutat&oacute;k, s&#337;t az Egyes&uuml;lt &Aacute;llamokb&oacute;l is bekapcsol&oacute;dtak Zoomon kereszt&uuml;l, akik k&uuml;l&ouml;nb&ouml;z&#337; tudom&aacute;nyter&uuml;letek oldal&aacute;r&oacute;l k&ouml;zel&iacute;tettek Bolyai munk&aacute;ss&aacute;g&aacute;hoz. Az al&aacute;bbiakban megeml&iacute;t&uuml;nk n&eacute;h&aacute;nyat az elhangzott el&#337;ad&aacute;sok k&ouml;z&uuml;l, a teljess&eacute;g ig&eacute;nye n&eacute;lk&uuml;l. Matematikai, illetve matematikat&ouml;rt&eacute;neti el&#337;ad&aacute;sok:<em> Euklid&eacute;sz, Bolyai &eacute;s a geometriai szeml&eacute;let&uuml;nk </em>(Szilassi Lajos docens, Szegedi Tudom&aacute;nyegyetem)<em>, Bolyai, Gauss &eacute;s Lobacsevszkij eml&eacute;kezete </em>(Jenkovszky L&aacute;szl&oacute;, Kijevi Elm&eacute;leti Fizika Int&eacute;zet),<em> Halsted amerikai matematikus &eacute;s a Bolyaiak </em>(K&aacute;sa Zolt&aacute;n professor emeritus, Sapientia Erd&eacute;lyi Magyar Tudom&aacute;nyegyetem). Interdiszciplin&aacute;ris el&#337;ad&aacute;sok:<em> A Bolyaiak a tudom&aacute;nyban &eacute;s a m&#369;v&eacute;szetben &ndash; &eacute;s szerte a vil&aacute;gban</em> (Nagy D&eacute;nes, a Nemzetk&ouml;zi Szimmetria T&aacute;rsas&aacute;g eln&ouml;ke), <em>A k&eacute;t Bolyai csillag&aacute;szata</em> (Szenkovits Ferenc docens, Babe&#351;&ndash;Bolyai Tudom&aacute;nyegyetem), <em>Bolyai J&aacute;nos &eacute;s a gravit&aacute;ci&oacute;, ahogy G&aacute;bos Zolt&aacute;n l&aacute;tta</em> (Nagy L&aacute;szl&oacute; akad&eacute;mikus, a Kolozsv&aacute;ri Akad&eacute;miai Bizotts&aacute;g eln&ouml;ke), <em>A matematika &eacute;s az interdiszciplinarit&aacute;s szerepe a szem&eacute;lyre szabott orvosl&aacute;sban</em> (Kov&aacute;cs Levente professzor, az &Oacute;budai Egyetem rektora).</span></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><img alt="" src="/sites/default/files/oldfiles/f4%2BTEM%2Besemeny.jpg" style="cursor: default; -webkit-tap-highlight-color: rgba(0, 0, 0, 0); max-width: 100%; height: auto; vertical-align: middle; border: 0px; color: rgb(72, 72, 74); font-family: nerislight; font-size: 16px; background-color: rgb(255, 255, 255);"></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><strong style="color: rgb(72, 72, 74); font-family: nerislight; font-size: 16px;">A temesv&aacute;ri&nbsp;<em>Bolyai 200</em>&nbsp;rendezv&eacute;nysorozat plak&aacute;tja, a Z gener&aacute;ci&oacute;s m&eacute;diam&#369;helyen k&eacute;sz&uuml;lt munk&aacute;k bemutat&aacute;sa &eacute;s egyik d&iacute;jazott di&aacute;kcsapat, mellett&uuml;k Erdei Ildik&oacute;, a Bart&oacute;k Alap&iacute;tv&aacute;ny eln&ouml;ke&nbsp;(Fot&oacute;k: </strong><strong>facebook.com/bolyai200/ Orosz S&aacute;ndor</strong><strong style="color: rgb(72, 72, 74); font-family: nerislight; font-size: 16px;">)</strong><span style="color: rgb(72, 72, 74); font-family: nerislight; font-size: 16px;">&nbsp; &nbsp;</span></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><span style="color:#48484a;display:block;font-family:nerislight;font-size:16px;line-height:20px;margin-bottom:19px;text-align:left;">&bdquo;Az esem&eacute;ny c&eacute;lja az interdiszciplin&aacute;ris gondolkod&aacute;s sz&uuml;ks&eacute;gess&eacute;g&eacute;nek hangs&uacute;lyoz&aacute;sa, kiemelve a kultur&aacute;lis nevel&eacute;st, a tehets&eacute;ggondoz&aacute;s fontoss&aacute;g&aacute;t, amelyben mind a csal&aacute;d, mind az oktat&aacute;si int&eacute;zm&eacute;nyek jelent&#337;s szerepet kell j&aacute;tszanak&rdquo; &ndash; olvashattuk a fesztiv&aacute;l honlapj&aacute;n. Ennek jegy&eacute;ben k&ouml;z&eacute;piskol&aacute;s di&aacute;koknak k&uuml;l&ouml;n tev&eacute;kenys&eacute;get &ndash; Z gener&aacute;ci&oacute;s m&eacute;diam&#369;helyt &eacute;s versenyt &ndash; hirdettek a szervez&#337;k. A jelentkez&#337; iskol&aacute;k k&ouml;z&uuml;l hat csapatot h&iacute;vtak meg a programra: a marosv&aacute;s&aacute;rhelyi Bolyai Farkas-l&iacute;ceum k&eacute;t, valamint a nagyenyedi Bethlen G&aacute;bor Koll&eacute;gium, az aradi Csiky Gergely F&#337;gimn&aacute;zium, a temesv&aacute;ri Bart&oacute;k B&eacute;la-l&iacute;ceum &eacute;s a zentai Bolyai J&aacute;nos Tehets&eacute;ggondoz&oacute; Gimn&aacute;zium egy-egy csapat&aacute;t. A h&aacute;romtag&uacute; csapatok mentortan&aacute;raikkal egy&uuml;tt r&eacute;szt vettek a tehets&eacute;ggondoz&oacute; m&#369;helyen, illetve a fesztiv&aacute;l programjain, ezzel p&aacute;rhuzamosan pedig olyan kreat&iacute;v alkot&aacute;st kellett kidolgozniuk, amely Bolyai J&aacute;nos &eacute;let&eacute;t, szerte&aacute;gaz&oacute; munk&aacute;ss&aacute;g&aacute;t vagy &uuml;zenet&eacute;t n&eacute;pszer&#369;s&iacute;ti. Az elk&eacute;sz&uuml;lt munk&aacute;kat d&iacute;jazt&aacute;k, a v&eacute;gleges v&aacute;ltozatot pedig k&ouml;zz&eacute;tett&eacute;k a projekt honlapj&aacute;n.</span></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><span style="color:#48484a;display:block;font-family:nerislight;font-size:16px;line-height:20px;margin-bottom:19px;text-align:left;">A rendezv&eacute;nysorozat honlapj&aacute;n (https://bolyai200.temesvaros.ro/), illetve Facebook-oldal&aacute;n (https://www.facebook.com/bolyai200) tov&aacute;bbi &eacute;rdekes olvasnival&oacute;kat &eacute;s f&eacute;nyk&eacute;peket tal&aacute;lhatnak az &eacute;rdekl&#337;d&#337;k.</span></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><span style="color:#48484a;display:block;font-family:nerislight;font-size:16px;line-height:20px;margin-bottom:19px;text-align:left;"><span style="font-family: nerisblack; font-size: 26px; line-height: 32px; margin-bottom: 26px; margin-top: 8px;"><strong>Kolozsv&aacute;r &ndash;&nbsp;</strong><strong>Bolyai-eml&eacute;kki&aacute;ll&iacute;t&aacute;s</strong></span></span></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><span style="color:#48484a;display:block;font-family:nerislight;font-size:16px;line-height:20px;margin-bottom:19px;text-align:left;">A Sapientia Erd&eacute;lyi Magyar Tudom&aacute;nyegyetem ki&aacute;ll&iacute;t&aacute;ssal eml&eacute;kezett meg a h&iacute;res matematikus &eacute;let&eacute;r&#337;l &eacute;s munk&aacute;ss&aacute;g&aacute;r&oacute;l. K&aacute;sa Zolt&aacute;n, a Sapientia EMTE professzora k&eacute;t el&#337;ad&aacute;st is tartott Temesv&aacute;ron, november 13-&aacute;n pedig &#337; nyitotta meg a saj&aacute;t Bolyai-gy&#369;jtem&eacute;ny&eacute;nek tekint&eacute;lyes r&eacute;sz&eacute;t bemutat&oacute; ki&aacute;ll&iacute;t&aacute;st.</span></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><span style="color:#48484a;display:block;font-family:nerislight;font-size:16px;line-height:20px;margin-bottom:19px;text-align:left;">Az anyag egyik r&eacute;sze Bolyai J&aacute;nos &eacute;letrajzi adataib&oacute;l, illetve a k&uuml;l&ouml;nb&ouml;z&#337; m&#369;v&eacute;szek &aacute;ltal k&eacute;sz&iacute;tett portr&eacute;it, szobrait &aacute;br&aacute;zol&oacute; f&eacute;nyk&eacute;pekb&#337;l &eacute;s sz&aacute;mos k&eacute;ziratos dokumentum m&aacute;solat&aacute;b&oacute;l tev&#337;d&ouml;tt &ouml;ssze. Az ut&oacute;bbiak a kolozsv&aacute;ri lev&eacute;lt&aacute;rb&oacute;l, a Magyar Tudom&aacute;nyos Akad&eacute;mia lev&eacute;lt&aacute;r&aacute;b&oacute;l vagy r&eacute;gi &uacute;js&aacute;gokb&oacute;l sz&aacute;rmaznak, mint p&eacute;ld&aacute;ul az anyak&ouml;nyvi bejegyz&eacute;s J&aacute;nos keresztel&eacute;s&eacute;r&#337;l, r&eacute;szlet J&aacute;nos h&iacute;res temesv&aacute;ri level&eacute;b&#337;l, egy marosv&aacute;s&aacute;rhelyi hangverseny hirdet&eacute;se 1843 m&aacute;jus&aacute;b&oacute;l, amelyen Bolyai Paganini-muzsik&aacute;t j&aacute;tszott heged&#369;n, vagy David Hilbert n&eacute;met matematikus k&ouml;sz&ouml;n&#337;levele abb&oacute;l az alkalomb&oacute;l, hogy 1910-ben a Magyar Tudom&aacute;nyos Akad&eacute;mia neki &iacute;t&eacute;lte a Bolyai-d&iacute;jat (nemzetk&ouml;zi, &ouml;t&eacute;vente oda&iacute;t&eacute;lend&#337;, 10 ezer korona jutalommal j&aacute;r&oacute; kit&uuml;ntet&eacute;s, amelyet Bolyai sz&uuml;let&eacute;s&eacute;nek 100. &eacute;vfordul&oacute;j&aacute;ra alap&iacute;tottak kiemelked&#337; matematikai munk&aacute;k d&iacute;jaz&aacute;s&aacute;ra). Az anyag t&ouml;bbi r&eacute;sz&eacute;t a Bolyai &eacute;let&eacute;t &eacute;s munk&aacute;ss&aacute;g&aacute;t, &eacute;desapj&aacute;val val&oacute; levelez&eacute;s&eacute;t bemutat&oacute;, ezek kutat&aacute;s&aacute;t feldolgoz&oacute; k&ouml;nyvek, foly&oacute;iratok k&eacute;pezt&eacute;k &ndash; k&ouml;zel &ouml;tven k&ouml;tet, amelyek t&ouml;bbs&eacute;ge magyar nyelv&#369;, de akadt k&ouml;z&ouml;tt&uuml;k rom&aacute;n, angol, n&eacute;met, orosz &eacute;s jap&aacute;n m&#369; is.</span></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><img alt="" src="/sites/default/files/oldfiles/f5%2BKVAR%2Bkiallit.jpg" style="cursor: default; -webkit-tap-highlight-color: rgba(0, 0, 0, 0); max-width: 100%; height: auto; vertical-align: middle; border: 0px; color: rgb(72, 72, 74); font-family: nerislight; font-size: 16px; background-color: rgb(255, 255, 255);"></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><strong style="color: rgb(72, 72, 74); font-family: nerislight; font-size: 16px;">A Bolyai-ki&aacute;ll&iacute;t&aacute;s plak&aacute;tja, alatta a ki&aacute;ll&iacute;t&aacute;s anyaga a Sapientia EMTE marosv&aacute;s&aacute;rhelyi kar&aacute;n. Jobbra: K&aacute;sa Zolt&aacute;n bemutatta a k&eacute;ziratos dokumentumokat a kolozsv&aacute;ri ki&aacute;ll&iacute;t&aacute;son,&nbsp; illetve n&eacute;h&aacute;ny Bolyaival kapcsolatos k&ouml;tet az 50 k&ouml;z&uuml;l. (Fot&oacute;k: K&aacute;sa Zolt&aacute;n, Rohonyi Iv&aacute;n)</strong></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><span style="color:#48484a;display:block;font-family:nerislight;font-size:16px;line-height:20px;margin-bottom:19px;text-align:left;">Eml&iacute;ts&uuml;nk meg n&eacute;h&aacute;nyat a ki&aacute;ll&iacute;tott k&ouml;nyvek k&ouml;z&uuml;l. Mindenekel&#337;tt ott volt Bolyai J&aacute;nos f&#337; m&#369;ve, az <em>Appendix. A t&eacute;r tudom&aacute;nya</em> (Akad&eacute;miai Kiad&oacute;, Budapest, 1977) c&iacute;m&#369; k&ouml;tet, amely a geometria t&ouml;rt&eacute;net&eacute;nek &aacute;ttekint&eacute;s&eacute;vel kezd&#337;dik Euklid&eacute;szt&#337;l Bolyai m&#369;v&eacute;nek megjelen&eacute;s&eacute;ig, azut&aacute;n az <em>Appendix</em> eredeti, latin nyelv&#369; kiad&aacute;s&aacute;nak hasonm&aacute;sa k&ouml;vetkezik, majd ennek magyar ford&iacute;t&aacute;sa, v&eacute;g&uuml;l Bolyai eszm&eacute;inek m&aacute;ig &eacute;rezhet&#337; hat&aacute;s&aacute;t tekinti &aacute;t K&aacute;rteszi Ferenc matematikus, a szerkeszt&#337;. M&aacute;sik fontos m&#369;, a <em>Bolyai Farkas &eacute;s Carl Friedrich Gauss levelez&eacute;se</em> (Bolyai Kiad&oacute;, Budapest, 2015) is szerepelt a ki&aacute;ll&iacute;t&aacute;son.</span></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><span style="color:#48484a;display:block;font-family:nerislight;font-size:16px;line-height:20px;margin-bottom:19px;text-align:left;">Fellapozhattuk tov&aacute;bb&aacute; Benk&#337; Samu <em>Bolyai J&aacute;nos vallom&aacute;sai </em>(Irodalmi K&ouml;nyvkiad&oacute;, 1968) c&iacute;m&#369; munk&aacute;j&aacute;t. Benk&#337; Samu erd&eacute;lyi m&#369;vel&#337;d&eacute;st&ouml;rt&eacute;n&eacute;sz rendszerezte el&#337;sz&ouml;r a Bolyai-kutat&aacute;s &eacute;vsz&aacute;zados t&ouml;rt&eacute;net&eacute;ben &ndash; tizenhat &eacute;v munk&aacute;j&aacute;val sorba &aacute;ll&iacute;totta &eacute;s dosszi&eacute;kba helyezte a mintegy 12 ezer oldalt kitev&#337;, a marosv&aacute;s&aacute;rhelyi reform&aacute;tus gimn&aacute;ziumb&oacute;l a Teleki T&eacute;k&aacute;ba &aacute;tker&uuml;lt anyagot, Bolyai J&aacute;nos eg&eacute;sz k&eacute;ziratos hagyat&eacute;k&aacute;t. Ennek a k&ouml;tetnek &ndash; amelyben a t&ouml;rt&eacute;n&eacute;sz Bolyainak a nem matematikai hagyat&eacute;k&aacute;t dolgozta fel &ndash;, rom&aacute;n nyelv&#369; v&aacute;ltozata is l&aacute;that&oacute; volt a ki&aacute;ll&iacute;t&aacute;son (Benk&#337; Samu, <em>Confesiunile lui Bolyai J&aacute;nos, </em>Kriterion, 1976).</span></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><span style="color:#48484a;display:block;font-family:nerislight;font-size:16px;line-height:20px;margin-bottom:19px;text-align:left;">N&eacute;h&aacute;ny m&aacute;sik, igen jelent&#337;s munka: Weszely Tibor neves marosv&aacute;s&aacute;rhelyi Bolyai-kutat&oacute; k&ouml;tete, a <em>Bolyai J&aacute;nos matematikai munk&aacute;ss&aacute;ga</em> (Kriterion K&ouml;nyvkiad&oacute;, 1981), Kiss Elem&eacute;r matematikus, tudom&aacute;nyt&ouml;rt&eacute;n&eacute;sz egyik k&ouml;nyve, a <em>Matematikai kincsek Bolyai J&aacute;nos k&eacute;ziratos hagyat&eacute;k&aacute;b&oacute;l</em> (Typotex kiad&oacute;, 2005), Ol&aacute;h-G&aacute;l R&oacute;bert cs&iacute;kszeredai Bolyai-kutat&oacute; t&ouml;bb k&uuml;l&ouml;nb&ouml;z&#337; munk&aacute;ja, p&eacute;ld&aacute;ul a <em>Szemelv&eacute;nyek a Bolyaiak matematikai k&eacute;zirataib&oacute;l</em> (S&aacute;ndor J&oacute;zseffel egy&uuml;tt, 2023), <em>A Bolyaiak a mindennapok sodr&aacute;s&aacute;ban</em> (2016), vagy a <em>Gyerekeknek a Bolyaiakr&oacute;l</em> (2022) &ndash; mindh&aacute;rom a cs&iacute;kszeredai Pro Print Kiad&oacute; gondoz&aacute;s&aacute;ban jelent meg &ndash;, tov&aacute;bb&aacute; G&uuml;ndischn&eacute; Gajz&aacute;g&oacute; M&aacute;ria &ndash; Szenkovits Ferenc, <em>Bolyai Farkas fizik&aacute;ja &eacute;s csillag&aacute;szata. </em><em>M&aacute;sf&eacute;l &eacute;vsz&aacute;zada lappang&oacute; k&eacute;ziratok</em> (Budapest, 2013). Eml&iacute;t&eacute;sre m&eacute;lt&oacute; m&eacute;g az a k&uuml;l&ouml;nleges k&ouml;tet, amelyben Babits Mih&aacute;ly <em>Bolyai</em> c&iacute;m&#369; vers&eacute;t olvashatjuk 33 nyelven, valamint m&aacute;s k&ouml;lt&#337;k Bolyai t&eacute;m&aacute;j&uacute; verseit is.</span></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><span style="color:#48484a;display:block;font-family:nerislight;font-size:16px;line-height:20px;margin-bottom:19px;text-align:left;">A ki&aacute;ll&iacute;t&aacute;s Kolozsv&aacute;r ut&aacute;n a Sapientia EMTE marosv&aacute;s&aacute;rhelyi, majd pedig cs&iacute;kszeredai kar&aacute;nak &eacute;p&uuml;let&eacute;ben lesz l&aacute;that&oacute;, &eacute;s tervben van &aacute;lland&oacute; Bolyai-ki&aacute;ll&iacute;t&aacute;s l&eacute;trehoz&aacute;sa ugyancsak Kolozsv&aacute;ron.</span></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><span style="color:#48484a;display:block;font-family:nerislight;font-size:16px;line-height:20px;margin-bottom:19px;text-align:left;"><span style="font-family: nerisblack; font-size: 26px; line-height: 32px; margin-bottom: 26px; margin-top: 8px;"><strong>Kolozsv&aacute;r &ndash; Bolyai-eml&eacute;ksz&aacute;m</strong></span></span></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><span style="color:#48484a;display:block;font-family:nerislight;font-size:16px;line-height:20px;margin-bottom:19px;text-align:left;">A Rad&oacute; Ferenc Matematikam&#369;vel&#337; T&aacute;rsas&aacute;g ifj&uacute;s&aacute;gi foly&oacute;irata, a <em>Matlap</em> az erd&eacute;lyi matematikai tehets&eacute;ggondoz&aacute;s egyik legjelent&#337;sebb &ndash; az id&#337;k sor&aacute;n m&aacute;s-m&aacute;s n&eacute;ven megjelen&#337;, de &ndash; 70 &eacute;ves m&uacute;ltra visszatekint&#337; kiadv&aacute;nya. A Bolyai-eml&eacute;k&eacute;v alkalm&aacute;b&oacute;l a lap szerkeszt&#337;s&eacute;ge eml&eacute;ksz&aacute;mot &aacute;ll&iacute;tott &ouml;ssze neves Bolyai-kutat&oacute;k &iacute;r&aacute;saib&oacute;l &ndash; Horv&aacute;th S&aacute;ndor docens (Marosv&aacute;s&aacute;rhely), K&aacute;sa Zolt&aacute;n egyetemi tan&aacute;r (Kolozsv&aacute;r), Ol&aacute;h-G&aacute;l R&oacute;bert adjunktus (Sapientia EMTE, Cs&iacute;kszereda), S&aacute;ndor J&oacute;zsef docens (BBTE, Kolozsv&aacute;r), Szab&oacute; P&eacute;ter G&aacute;bor &eacute;s Szilassi Lajos docensek (Szegedi Tudom&aacute;nyegyetem) cikkeib&#337;l. A k&uuml;l&ouml;nsz&aacute;mot a <em>Magyar tudom&aacute;ny napja Erd&eacute;lyben</em> konferencia matematikat&ouml;rt&eacute;neti szekci&oacute;j&aacute;nak &uuml;l&eacute;s&eacute;t is k&eacute;pez&#337; &iacute;r&oacute;-olvas&oacute; tal&aacute;lkoz&oacute; keret&eacute;ben mutatt&aacute;k be 2023. november 16-&aacute;n a B&aacute;thory Istv&aacute;n Elm&eacute;leti L&iacute;ceum d&iacute;szterm&eacute;ben.</span></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><span style="color:#48484a;display:block;font-family:nerislight;font-size:16px;line-height:20px;margin-bottom:19px;text-align:left;">A rendezv&eacute;nyen Schuller Hajnal, a l&iacute;ceum igazgat&oacute;ja k&ouml;sz&ouml;nt&ouml;tte az egybegy&#369;lteket, majd L&aacute;z&aacute;r Ir&eacute;nre, az iskola k&ouml;zelm&uacute;ltban elhunyt matematikatan&aacute;r&aacute;ra &eacute;s volt igazgat&oacute;j&aacute;ra eml&eacute;kezett, kiemelve L&aacute;z&aacute;r Ir&eacute;n igazgat&oacute;i k&eacute;pess&eacute;geit,&nbsp; j&oacute; gyakorlati, strat&eacute;giai &eacute;rz&eacute;k&eacute;t, illetve az 1989-es fordulat ut&aacute;ni b&aacute;tor &eacute;s gyors fell&eacute;p&eacute;s&eacute;t a magyar oktat&aacute;s vissza&aacute;ll&iacute;t&aacute;sa &eacute;rdek&eacute;ben. A r&eacute;sztvev&#337;k egyperces csenddel ad&oacute;ztak a tan&aacute;rn&#337; eml&eacute;k&eacute;nek. Ezut&aacute;n elhangzott Babits Mih&aacute;ly <em>Bolyai</em> c&iacute;m&#369; verse, majd a Gh. Dima Zeneakad&eacute;mia di&aacute;kjai muzsik&aacute;ltak (Gy&ouml;rgy Hunor heged&#369;n, Isabella Voropciuc zongor&aacute;n) &ndash; Bolyai k&ouml;zismert zenekedvel&#337; &eacute;s -m&#369;vel&#337; volt&aacute;ra eml&eacute;kezve egy-egy Bach-, illetve Paganini-darabot adtak el&#337;.</span></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><img alt="" src="/sites/default/files/oldfiles/KVAR%2Bmatlap%2BUJ.jpg"></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><span style="display: block; line-height: 20px; margin-bottom: 19px;"><strong>Kolozsv&aacute;ron a Matlap Bolyai-eml&eacute;ksz&aacute;m&aacute;nak bemutat&aacute;s&aacute;n Schuller Hajnal, a B&aacute;thory Istv&aacute;n Elm&eacute;leti L&iacute;ceum igazgat&oacute;ja k&ouml;sz&ouml;nt&ouml;tte a r&eacute;sztvev&#337;ket.&nbsp;Jobbra: Nagy L&aacute;szl&oacute; el&#337;ad&aacute;s&aacute;ban egy&uuml;tt volt a matematika &eacute;s a fizika. (Fot&oacute;k: facebook.com/matlap.matlap)&nbsp;</strong>&nbsp;</span></p><div><span style="color: rgb(72, 72, 74); font-family: nerislight; font-size: 16px;">Az esem&eacute;ny h&aacute;rom el&#337;ad&aacute;ssal folytat&oacute;dott. Els&#337;k&eacute;nt Szenkovits Ferenc, a BBTE oktat&oacute;ja </span><em style="color: rgb(72, 72, 74); font-family: nerislight; font-size: 16px;">200 &eacute;ves Bolyai J&aacute;nos hiperbolikus geometri&aacute;ja</em><span style="color: rgb(72, 72, 74); font-family: nerislight; font-size: 16px;"> c&iacute;m&#369; el&#337;ad&aacute;s&aacute;t hallhattuk, amelyb&#337;l cikk&uuml;nk elej&eacute;n m&aacute;r id&eacute;zt&uuml;nk. A tan&aacute;r &uacute;r el&#337;sz&ouml;r Bolyai &uacute;tj&aacute;t v&aacute;zolta iskolai tanulm&aacute;nyait&oacute;l kezdve a b&eacute;csi katonai akad&eacute;mi&aacute;n &aacute;t a katonai p&aacute;ly&aacute;t&oacute;l val&oacute; visszavonul&aacute;s&aacute;ig, majd matematikai munk&aacute;ss&aacute;g&aacute;nak jelent&#337;s&eacute;g&eacute;re t&eacute;rt &aacute;t. El&#337;ad&aacute;s&aacute;nak z&aacute;r&oacute;gondolat&aacute;b&oacute;l igen j&oacute;l &eacute;rz&eacute;kelhett&eacute;k a nem re&aacute;l k&eacute;pzetts&eacute;g&#369; hallgat&oacute;k is: Bolyai l&eacute;p&eacute;se olyan forradalminak sz&aacute;m&iacute;tott a matematik&aacute;ban, mint Kopernikusz felt&eacute;telez&eacute;se a vil&aacute;g heliocentrikus volt&aacute;r&oacute;l a csillag&aacute;szatban. Ez&eacute;rt is nevezik Bolyait a geometria Kopernikusz&aacute;nak.</span></div><div>&nbsp;</div><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><span style="color:#48484a;display:block;font-family:nerislight;font-size:16px;line-height:20px;margin-bottom:19px;text-align:left;">K&aacute;sa Zolt&aacute;n <em>A Bolyai-kutat&aacute;s m&aacute;sf&eacute;l &eacute;vsz&aacute;zada </em>c&iacute;m&#369; el&#337;ad&aacute;s&aacute;b&oacute;l megtudhattuk, hogy az els&#337; magyar Bolyai-kutat&oacute; Schmidt Ferenc temesv&aacute;ri sz&uuml;let&eacute;s&#369; &eacute;p&iacute;t&eacute;szm&eacute;rn&ouml;k volt, akinek az &eacute;desapja szem&eacute;lyesen ismerte Bolyait. Schmidtnek k&ouml;sz&ouml;nhet&#337;, hogy 1894-ben a Matematikai &eacute;s Fizikai T&aacute;rsas&aacute;g s&iacute;rk&#337;vel jel&ouml;ltette meg Bolyai J&aacute;nos marosv&aacute;s&aacute;rhelyi elfelejtett s&iacute;rj&aacute;t.</span></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><span style="color:#48484a;display:block;font-family:nerislight;font-size:16px;line-height:20px;margin-bottom:19px;text-align:left;">A m&aacute;sodik jeles Bolyai-kutat&oacute; George Bruce Halsted amerikai matematikus volt, aki leford&iacute;totta angolra az <em>Appendix</em>et &ndash; ezt 1891-ben adt&aacute;k ki el&#337;sz&ouml;r &ndash;, majd 1896-ban leutazott Kolozsv&aacute;rra &eacute;s Marosv&aacute;s&aacute;rhelyre, hogy jobban megismerhesse Bolyai &eacute;let&eacute;t &eacute;s munk&aacute;ss&aacute;g&aacute;t, &eacute;s biztatta Bed&#337;h&aacute;zi J&aacute;nos koll&eacute;giumi tan&aacute;rt, hogy &iacute;rja meg a k&eacute;t Bolyai &eacute;let&eacute;t, ami meg is t&ouml;rt&eacute;nt. Halstednek nem lehet el&eacute;g h&aacute;l&aacute;s a magyar tudom&aacute;nyoss&aacute;g &ndash; mondta K&aacute;sa Zolt&aacute;n.</span></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><span style="color:#48484a;display:block;font-family:nerislight;font-size:16px;line-height:20px;margin-bottom:19px;text-align:left;">Benk&#337; Samu m&#369;vel&#337;d&eacute;st&ouml;rt&eacute;n&eacute;sznek nagyon nagy szerepe volt a Bolyai-kutat&aacute;sok beindul&aacute;s&aacute;ban: a teljes hagyat&eacute;k rendszerez&eacute;se mellett feldolgozta annak nem matematikai r&eacute;sz&eacute;t. A h&aacute;romezer oldalnyi matematikai k&eacute;ziratot Kiss Elem&eacute;r marosv&aacute;s&aacute;rhelyi professzor olvasta v&eacute;gig az 1990-es &eacute;vekben: &eacute;let&eacute;nek utols&oacute; tizen&ouml;t &eacute;v&eacute;ben v&eacute;gzett munk&aacute;j&aacute;val kimutatta, hogy Bolyai a geometri&aacute;n k&iacute;v&uuml;l kor&aacute;nak m&aacute;s matematikai, p&eacute;ld&aacute;ul sz&aacute;melm&eacute;leti k&eacute;rd&eacute;seivel is foglalkozott.</span></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><span style="color:#48484a;display:block;font-family:nerislight;font-size:16px;line-height:20px;margin-bottom:19px;text-align:left;">Ol&aacute;h-G&aacute;l R&oacute;bert sokoldal&uacute; erd&eacute;lyi Bolyai-kutat&oacute; mintegy 15 k&ouml;nyvet &iacute;rt Bolyair&oacute;l. Szenkovits Ferenc a fizika, csillag&aacute;szat t&eacute;mak&ouml;r&eacute;be tartoz&oacute; Bolyai-munk&aacute;kkal foglalkozott. K&aacute;sa Zolt&aacute;n megeml&iacute;tette m&eacute;g Sz&eacute;n&aacute;si Barna, &Aacute;cs Tibor, Filep L&aacute;szl&oacute; &eacute;s Szab&oacute; P&eacute;ter G&aacute;bor magyarorsz&aacute;gi Bolyai-kutat&oacute;kat is.</span></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><span style="color:#48484a;display:block;font-family:nerislight;font-size:16px;line-height:20px;margin-bottom:19px;text-align:left;">V&eacute;g&uuml;l Nagy L&aacute;szl&oacute; kolozsv&aacute;ri elm&eacute;leti fizikus tartotta meg <em>Bolyai J&aacute;nos &eacute;s a gravit&aacute;ci&oacute;, ahogy G&aacute;bos Zolt&aacute;n l&aacute;tta</em> c&iacute;m&#369; el&#337;ad&aacute;s&aacute;t, amelyet egykori tan&aacute;rn&#337;je, L&aacute;&shy;z&aacute;r Ir&eacute;n eml&eacute;k&eacute;nek aj&aacute;nlott.</span></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><span style="color:#48484a;display:block;font-family:nerislight;font-size:16px;line-height:20px;margin-bottom:19px;text-align:left;">G&aacute;bos Zolt&aacute;n (1924&ndash;2018) az egyik legjelent&#337;sebb erd&eacute;lyi elm&eacute;leti fizikus volt, aki 1990 ut&aacute;n sokat foglalkozott Bolyai geometri&aacute;ja &eacute;s az &aacute;ltal&aacute;nos relativit&aacute;selm&eacute;let k&ouml;z&ouml;tti kapcsolattal. Bolyai szoros &ouml;sszef&uuml;gg&eacute;st t&eacute;telezett fel a t&eacute;r szerkezete &eacute;s a gravit&aacute;ci&oacute;s vonz&aacute;st&ouml;rv&eacute;ny k&ouml;z&ouml;tt. K&eacute;s&#337;bb Einstein &aacute;ltal&aacute;nos relativit&aacute;selm&eacute;let&eacute;ben bebizony&iacute;totta, hogy ez a szoros kapcsolat t&eacute;nyleg l&eacute;tezik: az anyag megg&ouml;rb&iacute;ti maga k&ouml;r&uuml;l a teret, ez hozza l&eacute;tre a gravit&aacute;ci&oacute;t, a gravit&aacute;ci&oacute; pedig &bdquo;megmondja&rdquo; az anyagnak, hogyan mozogjon. A gravit&aacute;ci&oacute; meg&eacute;rt&eacute;s&eacute;hez Einsteinnek nemeuklideszi geometri&aacute;ra volt sz&uuml;ks&eacute;ge, &#337; azonban nem Bolyai vagy Lobacsevszkij, hanem Riemann geometri&aacute;j&aacute;ra t&aacute;maszkodott elm&eacute;let&eacute;nek le&iacute;r&aacute;s&aacute;ban (Bernhard Riemann 19. sz&aacute;zadi n&eacute;met matematikus negyedsz&aacute;zaddal Bolyai &eacute;s Lobacsevszkij ut&aacute;n, m&aacute;s alapokra fektette le &ndash; szint&eacute;n nemeuklideszi &ndash; geometri&aacute;j&aacute;t, t&ouml;bb dimenzi&oacute;ra &aacute;ltal&aacute;nos&iacute;tva az addig h&aacute;romdimenzi&oacute;snak k&eacute;pzelt t&eacute;r elm&eacute;let&eacute;t). Mindenk&eacute;pp elmondhat&oacute; azonban, hogy Bolyai, Lobacsevszkij &eacute;s Riemann utat nyitott az &aacute;ltal&aacute;nos relativit&aacute;selm&eacute;let el&#337;tt.</span></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><img alt="" src="/sites/default/files/oldfiles/Fizika%2BUJ.jpg"></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><strong style="color: rgb(72, 72, 74); font-family: nerislight; font-size: 16px;">A Bolyai-eml&eacute;kt&aacute;bl&aacute;k Temesv&aacute;ron. (R&eacute;szlet&nbsp;S&aacute;ntha Imre G&eacute;za fot&oacute;j&aacute;b&oacute;l) Jobbra fent: Bolyai J&aacute;nos k&eacute;zirat&aacute;nak r&eacute;szlete: &bdquo;A neh&eacute;zked&eacute;s t&ouml;rv&eacute;nye is szoros &ouml;sszek&ouml;ttet&eacute;sben, folytat&aacute;sban tetszik (mutatkozik) az &#369;r term&eacute;szet&eacute;vel, val&oacute;j&aacute;val, milyens&eacute;g&eacute;vel&rdquo; &ndash;, azaz a t&eacute;rszerkezet &eacute;s a gravit&aacute;ci&oacute; szoros kapcsolatban van egym&aacute;ssal.&nbsp;</strong><strong style="color: rgb(72, 72, 74); font-family: nerislight; font-size: 16px;">Jobbra, lent: pozit&iacute;v, nulla, illetve negat&iacute;v g&ouml;rb&uuml;let&#369; fel&uuml;letek (&Eacute;rint&#337;, Elektronikus Matematikai Lapok / Szakk&ouml;r &ndash; Muzsnay Zolt&aacute;n)</strong></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><span style="color:#48484a;display:block;font-family:nerislight;font-size:16px;line-height:20px;margin-bottom:19px;text-align:left;">Nagy L&aacute;szl&oacute; arra a k&eacute;rd&eacute;sre is kit&eacute;rt, hogy v&eacute;g&uuml;l is milyen a vil&aacute;gegyetem geometri&aacute;ja. Elm&eacute;letileg az univerzumunknak h&aacute;rom alakja lehets&eacute;ges, amelyek mindegyike a t&eacute;r g&ouml;rb&uuml;let&eacute;t&#337;l f&uuml;gg: nyereg alak&uacute; (negat&iacute;v g&ouml;rb&uuml;let), g&ouml;mb alak&uacute; (pozit&iacute;v g&ouml;rb&uuml;let) vagy lapos (g&ouml;rb&uuml;let n&eacute;lk&uuml;li). Az 1980-as &eacute;vek v&eacute;g&eacute;t&#337;l kezdve az &#369;robszervat&oacute;riumok egyre pontosabb m&eacute;r&eacute;seket v&eacute;geztek, amelyek azt mutatt&aacute;k, hogy a t&eacute;rnek egy&aacute;ltal&aacute;n nincs g&ouml;rb&uuml;lete &ndash; a csillag&aacute;szok &aacute;ltal m&eacute;rhet&#337; hat&aacute;rokig lapos. Ezek szerint nagy l&eacute;pt&eacute;kben vett geometri&aacute;ja euklideszi.</span></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><span style="color:#48484a;display:block;font-family:nerislight;font-size:16px;line-height:20px;margin-bottom:19px;text-align:left;">Elhangzott m&eacute;g, hogy Bolyai geometri&aacute;ja &uacute;gy viszonyul az euklideszi m&eacute;rtanhoz, mint a 20. sz&aacute;zadi fizika, a relativit&aacute;selm&eacute;let Newton tanaihoz. Nagy L&aacute;szl&oacute; eg&eacute;sz el&#337;ad&aacute;s&aacute;val hozz&aacute;tett kicsit mindannyiunk &aacute;ltal&aacute;nos m&#369;velts&eacute;g&eacute;hez.</span></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><span style="color:#48484a;display:block;font-family:nerislight;font-size:16px;line-height:20px;margin-bottom:19px;text-align:left;"><span style="font-family: nerisblack; font-size: 26px; line-height: 32px; margin-bottom: 26px; margin-top: 8px;"><strong>Kolozsv&aacute;r &ndash; a Bolyaiakr&oacute;l&nbsp;</strong><strong>a korabeli sajt&oacute;ban</strong></span></span></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><span style="color:#48484a;display:block;font-family:nerislight;font-size:16px;line-height:20px;margin-bottom:19px;text-align:left;">A <em>Magyar tudom&aacute;ny napja Erd&eacute;lyben</em> konferencia matematika &eacute;s informatika szekci&oacute;j&aacute;nak november 18-i munk&aacute;latai keret&eacute;ben K&aacute;sa Zolt&aacute;n &uacute;jabb el&#337;ad&aacute;st tartott, <em>Bolyai-kultusz az erd&eacute;lyi magyar sajt&oacute;ban 1945-ig</em> c&iacute;mmel. Kutat&aacute;sai alapj&aacute;n &uacute;gy l&aacute;tja: &bdquo;A k&ouml;zv&eacute;leked&eacute;ssel ellent&eacute;tben, nem kev&eacute;s &iacute;r&aacute;s jelent meg a Bolyaiakr&oacute;l, f&#337;leg az 1902&ndash;1903-as megeml&eacute;kez&eacute;sek ut&aacute;n, &eacute;s nem csak kolozsv&aacute;ri &eacute;s marosv&aacute;s&aacute;rhelyi lapokban.&rdquo; N&eacute;h&aacute;ny p&eacute;lda k&ouml;vetkezik.</span></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><span style="color:#48484a;display:block;font-family:nerislight;font-size:16px;line-height:20px;margin-bottom:19px;text-align:left;"><strong><em>Magyar Polg&aacute;r</em>, Kolozsv&aacute;r, 1883. m&aacute;jus 29. </strong>&bdquo;<em>A Bolyai-eml&eacute;kk&#337;. Olvas&oacute;ink m&eacute;g eml&eacute;kezhetnek, hogy Bolyai Farkasnak, a marosv&aacute;s&aacute;rhelyi ev. ref. koll&eacute;gium egykori h&iacute;res mennyis&eacute;gtan-tan&aacute;r&aacute;nak, a marosv&aacute;s&aacute;rhelyi ref. k&ouml;ztemet&#337;ben jeltelen&uuml;l nyugv&oacute; porai megjel&ouml;l&eacute;s&eacute;re a koll&eacute;gium el&ouml;lj&aacute;r&oacute;s&aacute;g&aacute;ban 1879-ben mozgalom indulv&aacute;n meg, az el&ouml;lj&aacute;r&oacute;s&aacute;g e c&eacute;lra (...) egy bizotts&aacute;got k&uuml;ld&ouml;tt volt ki. A bizotts&aacute;g </em>&raquo;<em>&Aacute;ll&iacute;tsunk eml&eacute;kk&ouml;vet Bolyai Farkasnak!</em>&laquo;<em> c&iacute;m&#369; felh&iacute;v&aacute;st tett k&ouml;zz&eacute; a napisajt&oacute;ban, s egyszersmind a k&ouml;zszeretetben &aacute;llott n&eacute;hai tan&aacute;r m&eacute;g &eacute;l&#337; tan&iacute;tv&aacute;nyaihoz, ismer&#337;seihez, tisztel&#337;ihez gy&#369;jt&#337;&iacute;veket k&uuml;ld&ouml;tt (&hellip;)&rdquo;</em></span></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><span style="color:#48484a;display:block;font-family:nerislight;font-size:16px;line-height:20px;margin-bottom:19px;text-align:left;"><strong><em>Magyar Polg&aacute;r, </em>Kolozsv&aacute;r, 1886. febr. 25.</strong> <em>T&aacute;rcza. Bolyai Farkas.</em> (Brassai S&aacute;muel eml&eacute;kbesz&eacute;d&eacute;b&#337;l.)<em> &bdquo;A nagy matematikus Bolyai 1856-ban halt meg. A hal&aacute;l&aacute;t k&ouml;vet&#337; harmincadik esztend&#337;ben, h&eacute;tf&#337;n tartottak f&ouml;l&ouml;tte eml&eacute;kbesz&eacute;det a tud. akad&eacute;mi&aacute;n, melynek ama ritka tagjai k&ouml;z&eacute; tartozott, akik a k&uuml;lf&ouml;ld tudom&aacute;nyos vil&aacute;g&aacute;ban szint&eacute;n tekint&eacute;llyel b&iacute;rnak. Bolyait a francia &eacute;s n&eacute;met tud&oacute;sok s&#369;r&#369;bben emlegetik, mint n&aacute;lunk, pedig k&ouml;zt&uuml;nk &eacute;lt &eacute;s itthon halt meg. M&#369;veinek kiad&aacute;s&aacute;t most rendezi sajt&oacute; al&aacute; az akad&eacute;mia. &Eacute;letrajzi adatainak gy&#369;jt&eacute;se is megeredt v&eacute;gre, j&oacute; k&eacute;s&#337;n arra n&eacute;zve, hogy kort&aacute;rsai k&ouml;z&uuml;l min&eacute;l kevesebben tan&uacute;skodhassanak. (...)&rdquo; </em></span></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><span style="color:#48484a;display:block;font-family:nerislight;font-size:16px;line-height:20px;margin-bottom:19px;text-align:left;"><strong><em>Sz&eacute;kely H&iacute;rlap, </em>1896. november 19.</strong><em> &bdquo;A m&#369;szaki k&ouml;rr&#337;l. Felolvas&aacute;s. A marosv&aacute;s&aacute;rhelyi m&#369;szaki k&ouml;rben Bed&#337;h&aacute;zi J&aacute;nos ev. ref. koll&eacute;giumi professzor tartott felolvas&aacute;st az absolut geometri&aacute;r&oacute;l &eacute;s Bolyai J&aacute;nosr&oacute;l. El&#337;adta az Euklides tizenegyedik axi&oacute;m&aacute;ja &aacute;ltal felvetett k&eacute;rd&eacute;s t&ouml;rt&eacute;net&eacute;t, amely k&eacute;rd&eacute;s t&ouml;bb mint k&eacute;tezer &eacute;ven &aacute;t annyi fejt&ouml;r&eacute;st szerzett a tud&oacute;soknak, a sikertelen t&ouml;rekv&eacute;st, hogy ez axi&oacute;ma, amely tulajdonk&eacute;ppen nem az, bebizony&iacute;ttass&eacute;k; Gaussnak a dolog m&eacute;ly&eacute;re val&oacute; n&eacute;zeteit a k&eacute;rd&eacute;sr&#337;l s Bolyai J&aacute;nosnak igazi l&aacute;ng&eacute;szre vall&oacute; megold&aacute;s&aacute;t, mely &aacute;ltal egyik&eacute;v&eacute; v&aacute;lt amaz els&#337;knek, akik egy r&eacute;git&#337;l elt&eacute;r&#337; &uacute;j geometri&aacute;nak vetett&eacute;k meg az alapj&aacute;t. (...)&rdquo;</em></span></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><span style="color:#48484a;display:block;font-family:nerislight;font-size:16px;line-height:20px;margin-bottom:19px;text-align:left;"><strong><em>Magyar Polg&aacute;r</em>, Kolozsv&aacute;r, 1900. m&aacute;rcius 20.</strong> <em>&bdquo;Bolyai J&aacute;nos sz&uuml;l&#337;h&aacute;za. A kolozsv&aacute;ri tudom&aacute;nyegyetem matematikai &eacute;s term&eacute;szettudom&aacute;nyi kara Bolyai J&aacute;nos sz&uuml;let&eacute;s&eacute;nek 100-ik &eacute;vfordul&oacute;j&aacute;t meg&uuml;nnepelni s sz&uuml;let&eacute;s-h&aacute;z&aacute;t eml&eacute;kt&aacute;bl&aacute;val megjel&ouml;lni sz&aacute;nd&eacute;kozik. Irodalmi adatokb&oacute;l tudjuk, hogy Bolyai Farkasnak &eacute;s nej&eacute;nek Benk&#337; Zsuzs&aacute;nn&aacute;nak J&aacute;nos nev&#369; fia 1802. dec. 15-&eacute;n sz&uuml;letett Kolozsv&aacute;rtt a Bels&#337;k&ouml;z&eacute;p-utc&aacute;ban, Bodor P&aacute;l h&aacute;z&aacute;ban, Benk&#337; Zsuzs&aacute;nna sz&uuml;leinek h&aacute;z&aacute;ban. E h&aacute;znak hiteles megjel&ouml;l&eacute;se c&eacute;lj&aacute;b&oacute;l a tan&aacute;cs f&ouml;lh&iacute;vja &eacute;s f&ouml;lk&eacute;ri mindazokat, kik ama Bodor P&aacute;l-f&eacute;le h&aacute;zr&oacute;l &eacute;s hely&eacute;r&#337;l tudom&aacute;ssal b&iacute;rnak, hogy ezt tan&aacute;csunknak, a h&aacute;z megjel&ouml;l&eacute;s&eacute;vel, bejelenteni sz&iacute;veskedjenek.&rdquo;</em></span></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><span style="color:#48484a;display:block;font-family:nerislight;font-size:16px;line-height:20px;margin-bottom:19px;text-align:left;"><strong><em>Aranyosvid&eacute;k</em>, 1913. okt&oacute;ber 11. </strong><em>&bdquo;Nagy magyarok (...). Volt id&#337;, mid&#337;n kor&aacute;nak egyik legels&#337;, haz&aacute;j&aacute;nak eddigel&eacute; legnagyobb matematikusa Bolyai Farkas hirdette a marosv&aacute;s&aacute;rhelyi ev. ref. gimn&aacute;ziumban a tudom&aacute;ny ig&eacute;it. Milyen id&#337;k is voltak azok (1804&ndash;1851), mid&#337;n a tudom&aacute;ny fejedelmei kerest&eacute;k fel lev&eacute;lben a kis Maros-V&aacute;s&aacute;rhely szer&eacute;ny koll&eacute;gium&aacute;nak nagy professzor&aacute;t, hogy tudom&aacute;nyos k&eacute;rd&eacute;sekben n&eacute;zeteit hallj&aacute;k. H&iacute;res munk&aacute;j&aacute;t, a Tentament latin nyelven &iacute;rta; ehhez hozz&aacute;k&ouml;tve jelent meg fia &eacute;s matematikai l&aacute;ngesz&#369;nek &ouml;r&ouml;k&ouml;se: Bolyai J&aacute;nos neve alatt a vil&aacute;gh&iacute;r&#369; Appendix. Ez a munka tette a Bolyai nevet vil&aacute;gh&iacute;r&#369;v&eacute;. (...)&rdquo;</em></span></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><span style="color:#48484a;display:block;font-family:nerislight;font-size:16px;line-height:20px;margin-bottom:19px;text-align:left;"><strong><em>Keleti &Uacute;js&aacute;g, </em>1941. &aacute;prilis 8. </strong>&bdquo;<em>Megkoszor&uacute;zt&aacute;k Bolyai J&aacute;nos s&iacute;rj&aacute;t a katonai m&#369;szaki akad&eacute;mia vezet&#337;i. Tud&oacute;s&iacute;t&oacute;nk jelenti: Csipk&eacute;s Ern&#337; ezredes &eacute;s Gh&eacute;czy Gy&ouml;rgy sz&aacute;zados, (...) a marosv&aacute;s&aacute;rhelyi reform&aacute;tus koll&eacute;gium tan&aacute;ri kar&aacute;nak k&iacute;s&eacute;ret&eacute;ben vas&aacute;rnap a reform&aacute;tus temet&#337;ben megkoszor&uacute;zt&aacute;k Bolyai J&aacute;nos s&iacute;rj&aacute;t. A katonai m&#369;szaki akad&eacute;mia vezet&#337;i ezzel akart&aacute;k kegyelet&uuml;ket ler&oacute;ni a halhatatlan magyar tud&oacute;s ir&aacute;ni, akir&#337;l az int&eacute;zetet elnevezt&eacute;k. (...).</em>&rdquo;</span></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><span style="color:#48484a;display:block;font-family:nerislight;font-size:16px;line-height:20px;margin-bottom:19px;text-align:left;"><strong><em>Sz&eacute;kely N&eacute;p</em>, 1944. m&aacute;rcius 18.</strong> &bdquo;<em>Marosv&aacute;s&aacute;rhelyen &aacute;ll&iacute;tj&aacute;k fel B&aacute;thori Istv&aacute;n szobr&aacute;t P&aacute;ly&aacute;zatot hirdetnek a k&eacute;t Bolyai szobr&aacute;nak elk&eacute;sz&iacute;t&eacute;s&eacute;re. Marosv&aacute;s&aacute;rhely, m&aacute;rc. 17. Marosv&aacute;s&aacute;rhely t&ouml;rv&eacute;nyhat&oacute;s&aacute;gi bizotts&aacute;g&aacute;nak p&eacute;nteki k&ouml;zgy&#369;l&eacute;s&eacute;n Papp K&aacute;roly dr. polg&aacute;rmesterhelyettes k&ouml;z&ouml;lte, hogy a budapesti </em>&raquo;<em>B&aacute;thori Istv&aacute;n eml&eacute;kbizotts&aacute;g</em>&laquo;<em> Marosv&aacute;s&aacute;rhelynek aj&aacute;nd&eacute;kozta a nagy erd&eacute;lyi fejedelem, k&eacute;s&#337;bbi lengyel kir&aacute;ly bronzszobr&aacute;t. (...) Ugyancsak Papp K&aacute;roly dr. ismertette a k&eacute;t Bolyainak, Marosv&aacute;s&aacute;rhely nagy fiainak eml&eacute;k&eacute;t meg&ouml;r&ouml;k&iacute;t&#337; szobor fel&aacute;ll&iacute;t&aacute;s&aacute;r&oacute;l sz&oacute;l&oacute; javaslatot. (...)</em>&rdquo;</span></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><span style="color:#48484a;display:block;font-family:nerislight;font-size:16px;line-height:20px;margin-bottom:19px;text-align:left;">A fenti &uacute;js&aacute;gcikkek teljes v&aacute;ltozata, illetve m&aacute;s lapok Bolyai-cikkei az Erd&eacute;lyi Magyar M&#369;szaki Tudom&aacute;nyos T&aacute;rsas&aacute;g publik&aacute;ci&oacute;j&aacute;ban, a Historia Sci&shy;en&shy;ti&shy;a&shy;rum 2023/21. sz&aacute;m&aacute;ban olvashat&oacute;k az interneten (https://ojs.emt.ro/hs/article/view/1491). V&eacute;gezet&uuml;l olvassuk el Bolyai J&aacute;nos gy&aacute;szjelent&eacute;s&eacute;t, amelyet <strong>1860. febru&aacute;r 5-&eacute;n k&ouml;z&ouml;lt a <em>Kolozsv&aacute;ri K&ouml;zl&ouml;ny</em>:</strong></span></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><span style="color:#48484a;display:block;font-family:nerislight;font-size:16px;line-height:20px;margin-bottom:19px;text-align:left;">&bdquo;<em>Necrolog. Korunk kit&#369;n&#337; f&eacute;rfiainak egyike, a l&aacute;ngesz&#369; sz&aacute;mtud&oacute;s cs. k. nyugalmazott m&eacute;rn&ouml;kkapit&aacute;ny bolyai Bolyai J&aacute;nos foly&oacute; h&oacute; 26-&aacute;n, &eacute;lete 58. &eacute;v&eacute;ben jobb haz&aacute;ba k&ouml;lt&ouml;z&ouml;tt. Nemcsak kis Erd&eacute;ly&uuml;nk, hanem az &ouml;sszes tud&oacute;s vil&aacute;g, mely el&#337;tt egy r&ouml;vid sz&aacute;mtani m&#369;v&eacute;vel honunknak f&eacute;nyt, dics&#337;s&eacute;get szerzett, sokat vesztett kora hal&aacute;la &aacute;ltal, mert nagybecs&#369; k&eacute;ziratait nem adhat&aacute;, elhat&aacute;rozott c&eacute;lja szerint, sajt&oacute; al&aacute;, s k&eacute;rd&eacute;s vajon siker&uuml;lend-e avatott kezeknek &uacute;gy rendbeszedni s vil&aacute;g elibe bocs&aacute;tani, hogy magas &eacute;rt&eacute;k&ouml;k szerint m&eacute;lt&oacute; elismer&eacute;st v&iacute;vjanak ki. Mint nyelv&eacute;sz &eacute;s heged&#369;m&#369;v&eacute;sz is rendk&iacute;v&uuml;li egy&eacute;nis&eacute;g volt. Nagy vesztes&eacute;g re&aacute;nk n&eacute;zve, hogy l&aacute;ng&eacute;sz &eacute;s m&eacute;ly tudom&aacute;ny tulajdonos&aacute;nak &eacute;lete szinte minden haszon n&eacute;lk&uuml;l zajlott le k&ouml;r&uuml;nkben, &eacute;s k&uuml;l&ouml;nck&ouml;d&#337;, emberker&uuml;l&#337; term&eacute;szet&eacute;n&eacute;l fogva minden t&aacute;rsas&aacute;gt&oacute;l f&eacute;lrevonultan kirekeszt&#337;leg nagy eszm&eacute;ivel foglalkozva &eacute;lt. B&eacute;ke hamvainak!&rdquo;</em></span></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><img alt="" src="/sites/default/files/oldfiles/Ujsag%2BUJ.jpg"></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><strong>Bolyai J&aacute;nos gy&aacute;szjelent&eacute;se a Kolozsv&aacute;ri K&ouml;zl&ouml;ny 1860. febru&aacute;r 5-i sz&aacute;m&aacute;ban</strong></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><span style="color:#48484a;display:block;font-family:nerislight;font-size:16px;line-height:20px;margin-bottom:19px;text-align:left;">A Bolyai<em>-</em>eml&eacute;k&eacute;v temesv&aacute;ri, kolozsv&aacute;ri &ndash; &eacute;s megel&#337;legezhet&#337;en a november 20-&aacute;n kezd&#337;d&#337;, t&ouml;bb h&eacute;ten &aacute;t tart&oacute; v&aacute;ltozatos marosv&aacute;s&aacute;rhelyi &ndash; programsorozata minden k&eacute;ts&eacute;get kiz&aacute;r&oacute;an bizony&iacute;tja: Bolyai nagybecs&#369; k&eacute;ziratainak rendbeszed&eacute;s&eacute;t &eacute;s vil&aacute;g el&eacute;be bocs&aacute;t&aacute;s&aacute;t avatott kezek napjainkban is folytatj&aacute;k, magas &eacute;rt&eacute;k&uuml;k szerint pedig a m&eacute;lt&oacute; elismer&eacute;st r&eacute;ges r&eacute;gen kiv&iacute;vt&aacute;k.</span></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><span style="color:#48484a;display:block;font-family:nerislight;font-size:16px;line-height:20px;margin-bottom:19px;text-align:left;"><strong>Bor&iacute;t&oacute;k&eacute;p</strong>:&nbsp;</span></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><span style="color:#48484a;display:block;font-family:nerislight;font-size:16px;line-height:20px;margin-bottom:19px;text-align:left;"><em>A</em><em>ppendix. A</em><em> t&eacute;r absolut igaz tudom&aacute;nya, a XI. Euklides-f&eacute;le axioma helyes vagy t&eacute;ves volt&aacute;t&oacute;l (melyet a priori nem d&ouml;nthet&uuml;nk el) f&uuml;ggetlen&uuml;l t&aacute;rgyalva, a XI. axioma t&eacute;ves volt&aacute;nak elfogad&aacute;s&aacute;hoz hozz&aacute;csatolv&aacute;n a k&ouml;r geometriai n&eacute;gysz&ouml;ges&iacute;t&eacute;s&eacute;t</em> / &iacute;rta bolyai Bolyai J&aacute;nos, az Osztr&aacute;k cs. k. Hadseregben t&aacute;bori m&eacute;rn&ouml;kkapit&aacute;ny; ford&iacute;totta Sut&aacute;k J&oacute;zsef. &ndash; Budapest: Horny&aacute;nszky, 1897.</span></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;"><span style="color:#48484a;display:block;font-family:nerislight;font-size:16px;line-height:20px;margin-bottom:19px;text-align:left;">Az <em>Appendix </em>itt l&aacute;that&oacute; p&eacute;ld&aacute;nya Bolyai J&aacute;nos saj&aacute;t munkap&eacute;ld&aacute;nya volt. Erre utalnak saj&aacute;t kez&#369; bejegyz&eacute;sei &eacute;s ceruz&aacute;s jav&iacute;t&aacute;sai. A p&eacute;ld&aacute;nyt 1901-ben Schmidt Ferenc hagyat&eacute;k&aacute;b&oacute;l v&aacute;s&aacute;rolta meg a Magyar Tudom&aacute;nyos Akad&eacute;mia. A lap tetej&eacute;n Schmidt Ferenc piros tint&aacute;s autogr&aacute;f megjegyz&eacute;se: Handschrift von Johan Bolyai. (K&eacute;p forr&aacute;sa: Wikip&eacute;dia)</span></p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;">&nbsp;</p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;">&nbsp;</p><p style="font-family:nerislight;color:#48484a;font-size:16px;line-height:20px;text-align:left;margin-bottom:19px;display:block;">&nbsp;</p></p>\n"
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            "editor" => Drupal\Core\Extension\Extension {#114
              #type: "module"
              #pathname: "core/modules/editor/editor.info.yml"
              #filename: "editor.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "editor_advanced_link" => Drupal\Core\Extension\Extension {#115
              #type: "module"
              #pathname: "modules/contrib/editor_advanced_link/editor_advanced_link.info.yml"
              #filename: "editor_advanced_link.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "email_registration" => Drupal\Core\Extension\Extension {#116
              #type: "module"
              #pathname: "modules/contrib/email_registration/email_registration.info.yml"
              #filename: "email_registration.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "fb_post_schedule" => Drupal\Core\Extension\Extension {#117
              #type: "module"
              #pathname: "modules/custom/fb_post_schedule/fb_post_schedule.info.yml"
              #filename: "fb_post_schedule.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "feeds" => Drupal\Core\Extension\Extension {#118
              #type: "module"
              #pathname: "modules/contrib/feeds/feeds.info.yml"
              #filename: "feeds.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "feeds_tamper" => Drupal\Core\Extension\Extension {#119
              #type: "module"
              #pathname: "modules/contrib/feeds_tamper/feeds_tamper.info.yml"
              #filename: "feeds_tamper.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "feedsfiles" => Drupal\Core\Extension\Extension {#120
              #type: "module"
              #pathname: "modules/custom/feedsfiles/feedsfiles.info.yml"
              #filename: "feedsfiles.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "field" => Drupal\Core\Extension\Extension {#121
              #type: "module"
              #pathname: "core/modules/field/field.info.yml"
              #filename: "field.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "field_defaults" => Drupal\Core\Extension\Extension {#122
              #type: "module"
              #pathname: "modules/contrib/field_defaults/field_defaults.info.yml"
              #filename: "field_defaults.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "field_group" => Drupal\Core\Extension\Extension {#123
              #type: "module"
              #pathname: "modules/contrib/field_group/field_group.info.yml"
              #filename: "field_group.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "field_permissions" => Drupal\Core\Extension\Extension {#124
              #type: "module"
              #pathname: "modules/contrib/field_permissions/field_permissions.info.yml"
              #filename: "field_permissions.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "field_ui" => Drupal\Core\Extension\Extension {#125
              #type: "module"
              #pathname: "core/modules/field_ui/field_ui.info.yml"
              #filename: "field_ui.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "file" => Drupal\Core\Extension\Extension {#126
              #type: "module"
              #pathname: "core/modules/file/file.info.yml"
              #filename: "file.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "filefield_paths" => Drupal\Core\Extension\Extension {#127
              #type: "module"
              #pathname: "modules/contrib/filefield_paths/filefield_paths.info.yml"
              #filename: "filefield_paths.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "filter" => Drupal\Core\Extension\Extension {#128
              #type: "module"
              #pathname: "core/modules/filter/filter.info.yml"
              #filename: "filter.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "google_analytics" => Drupal\Core\Extension\Extension {#129
              #type: "module"
              #pathname: "modules/contrib/google_analytics/google_analytics.info.yml"
              #filename: "google_analytics.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "honeypot" => Drupal\Core\Extension\Extension {#130
              #type: "module"
              #pathname: "modules/contrib/honeypot/honeypot.info.yml"
              #filename: "honeypot.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "image" => Drupal\Core\Extension\Extension {#131
              #type: "module"
              #pathname: "core/modules/image/image.info.yml"
              #filename: "image.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "imagecrop_ckeditor" => Drupal\Core\Extension\Extension {#132
              #type: "module"
              #pathname: "modules/custom/imagecrop_ckeditor/imagecrop_ckeditor.info.yml"
              #filename: "imagecrop_ckeditor.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "imce" => Drupal\Core\Extension\Extension {#133
              #type: "module"
              #pathname: "modules/contrib/imce/imce.info.yml"
              #filename: "imce.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "language" => Drupal\Core\Extension\Extension {#134
              #type: "module"
              #pathname: "core/modules/language/language.info.yml"
              #filename: "language.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "link" => Drupal\Core\Extension\Extension {#135
              #type: "module"
              #pathname: "core/modules/link/link.info.yml"
              #filename: "link.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "locale" => Drupal\Core\Extension\Extension {#136
              #type: "module"
              #pathname: "core/modules/locale/locale.info.yml"
              #filename: "locale.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "login_redirect" => Drupal\Core\Extension\Extension {#137
              #type: "module"
              #pathname: "modules/custom/login_redirect/login_redirect.info.yml"
              #filename: "login_redirect.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "mailsystem" => Drupal\Core\Extension\Extension {#138
              #type: "module"
              #pathname: "modules/contrib/mailsystem/mailsystem.info.yml"
              #filename: "mailsystem.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "manage_display" => Drupal\Core\Extension\Extension {#139
              #type: "module"
              #pathname: "modules/contrib/manage_display/manage_display.info.yml"
              #filename: "manage_display.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "masonry" => Drupal\Core\Extension\Extension {#140
              #type: "module"
              #pathname: "modules/contrib/masonry/masonry.info.yml"
              #filename: "masonry.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "media" => Drupal\Core\Extension\Extension {#141
              #type: "module"
              #pathname: "core/modules/media/media.info.yml"
              #filename: "media.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "media_library" => Drupal\Core\Extension\Extension {#142
              #type: "module"
              #pathname: "core/modules/media_library/media_library.info.yml"
              #filename: "media_library.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "membercheck" => Drupal\Core\Extension\Extension {#143
              #type: "module"
              #pathname: "modules/custom/membercheck/membercheck.info.yml"
              #filename: "membercheck.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "menu_link_content" => Drupal\Core\Extension\Extension {#144
              #type: "module"
              #pathname: "core/modules/menu_link_content/menu_link_content.info.yml"
              #filename: "menu_link_content.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "menu_ui" => Drupal\Core\Extension\Extension {#145
              #type: "module"
              #pathname: "core/modules/menu_ui/menu_ui.info.yml"
              #filename: "menu_ui.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "metatag" => Drupal\Core\Extension\Extension {#146
              #type: "module"
              #pathname: "modules/contrib/metatag/metatag.info.yml"
              #filename: "metatag.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "metatag_open_graph" => Drupal\Core\Extension\Extension {#147
              #type: "module"
              #pathname: "modules/contrib/metatag/metatag_open_graph/metatag_open_graph.info.yml"
              #filename: "metatag_open_graph.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "metatag_routes" => Drupal\Core\Extension\Extension {#148
              #type: "module"
              #pathname: "modules/contrib/metatag/metatag_routes/metatag_routes.info.yml"
              #filename: "metatag_routes.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "metatag_views" => Drupal\Core\Extension\Extension {#149
              #type: "module"
              #pathname: "modules/contrib/metatag/metatag_views/metatag_views.info.yml"
              #filename: "metatag_views.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "mysql" => Drupal\Core\Extension\Extension {#150
              #type: "module"
              #pathname: "core/modules/mysql/mysql.info.yml"
              #filename: "mysql.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "nameday_display" => Drupal\Core\Extension\Extension {#151
              #type: "module"
              #pathname: "modules/custom/nameday_display/nameday_display.info.yml"
              #filename: null
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "news_stand" => Drupal\Core\Extension\Extension {#152
              #type: "module"
              #pathname: "modules/custom/news_stand/news_stand.info.yml"
              #filename: "news_stand.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "node" => Drupal\Core\Extension\Extension {#153
              #type: "module"
              #pathname: "core/modules/node/node.info.yml"
              #filename: "node.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "openweather" => Drupal\Core\Extension\Extension {#154
              #type: "module"
              #pathname: "modules/contrib/openweather/openweather.info.yml"
              #filename: "openweather.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "options" => Drupal\Core\Extension\Extension {#155
              #type: "module"
              #pathname: "core/modules/options/options.info.yml"
              #filename: "options.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "page_cache" => Drupal\Core\Extension\Extension {#156
              #type: "module"
              #pathname: "core/modules/page_cache/page_cache.info.yml"
              #filename: "page_cache.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "path" => Drupal\Core\Extension\Extension {#157
              #type: "module"
              #pathname: "core/modules/path/path.info.yml"
              #filename: "path.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "path_alias" => Drupal\Core\Extension\Extension {#158
              #type: "module"
              #pathname: "core/modules/path_alias/path_alias.info.yml"
              #filename: null
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "phpass" => Drupal\Core\Extension\Extension {#159
              #type: "module"
              #pathname: "core/modules/phpass/phpass.info.yml"
              #filename: "phpass.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "redirect" => Drupal\Core\Extension\Extension {#160
              #type: "module"
              #pathname: "modules/contrib/redirect/redirect.info.yml"
              #filename: "redirect.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "redirect_404" => Drupal\Core\Extension\Extension {#161
              #type: "module"
              #pathname: "modules/contrib/redirect/modules/redirect_404/redirect_404.info.yml"
              #filename: "redirect_404.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "rest" => Drupal\Core\Extension\Extension {#162
              #type: "module"
              #pathname: "core/modules/rest/rest.info.yml"
              #filename: "rest.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "scheduler" => Drupal\Core\Extension\Extension {#163
              #type: "module"
              #pathname: "modules/contrib/scheduler/scheduler.info.yml"
              #filename: "scheduler.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "search_api" => Drupal\Core\Extension\Extension {#164
              #type: "module"
              #pathname: "modules/contrib/search_api/search_api.info.yml"
              #filename: "search_api.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "search_api_db" => Drupal\Core\Extension\Extension {#165
              #type: "module"
              #pathname: "modules/contrib/search_api/modules/search_api_db/search_api_db.info.yml"
              #filename: "search_api_db.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "search_api_db_defaults" => Drupal\Core\Extension\Extension {#166
              #type: "module"
              #pathname: "modules/contrib/search_api/modules/search_api_db/search_api_db_defaults/search_api_db_defaults.info.yml"
              #filename: null
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "search_api_solr" => Drupal\Core\Extension\Extension {#167
              #type: "module"
              #pathname: "modules/contrib/search_api_solr/search_api_solr.info.yml"
              #filename: "search_api_solr.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "search_api_solr_admin" => Drupal\Core\Extension\Extension {#168
              #type: "module"
              #pathname: "modules/contrib/search_api_solr/modules/search_api_solr_admin/search_api_solr_admin.info.yml"
              #filename: "search_api_solr_admin.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "serialization" => Drupal\Core\Extension\Extension {#169
              #type: "module"
              #pathname: "core/modules/serialization/serialization.info.yml"
              #filename: "serialization.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "shortcut" => Drupal\Core\Extension\Extension {#170
              #type: "module"
              #pathname: "core/modules/shortcut/shortcut.info.yml"
              #filename: "shortcut.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "similarterms" => Drupal\Core\Extension\Extension {#171
              #type: "module"
              #pathname: "modules/contrib/similarterms/similarterms.info.yml"
              #filename: "similarterms.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "simple_cron" => Drupal\Core\Extension\Extension {#172
              #type: "module"
              #pathname: "modules/contrib/simple_cron/simple_cron.info.yml"
              #filename: "simple_cron.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "simple_sitemap" => Drupal\Core\Extension\Extension {#173
              #type: "module"
              #pathname: "modules/contrib/simple_sitemap/simple_sitemap.info.yml"
              #filename: "simple_sitemap.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "simple_sitemap_views" => Drupal\Core\Extension\Extension {#174
              #type: "module"
              #pathname: "modules/contrib/simple_sitemap/modules/simple_sitemap_views/simple_sitemap_views.info.yml"
              #filename: "simple_sitemap_views.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "simple_weather" => Drupal\Core\Extension\Extension {#175
              #type: "module"
              #pathname: "modules/custom/simple_weather/simple_weather.info.yml"
              #filename: "simple_weather.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "simplesocial" => Drupal\Core\Extension\Extension {#176
              #type: "module"
              #pathname: "modules/custom/simplesocial/simplesocial.info.yml"
              #filename: "simplesocial.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "smtp" => Drupal\Core\Extension\Extension {#177
              #type: "module"
              #pathname: "modules/contrib/smtp/smtp.info.yml"
              #filename: "smtp.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "social_media" => Drupal\Core\Extension\Extension {#178
              #type: "module"
              #pathname: "modules/contrib/social_media/social_media.info.yml"
              #filename: "social_media.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "statistics" => Drupal\Core\Extension\Extension {#179
              #type: "module"
              #pathname: "core/modules/statistics/statistics.info.yml"
              #filename: "statistics.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "system" => Drupal\Core\Extension\Extension {#180
              #type: "module"
              #pathname: "core/modules/system/system.info.yml"
              #filename: "system.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "tamper" => Drupal\Core\Extension\Extension {#181
              #type: "module"
              #pathname: "modules/contrib/tamper/tamper.info.yml"
              #filename: null
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "taxonomy" => Drupal\Core\Extension\Extension {#182
              #type: "module"
              #pathname: "core/modules/taxonomy/taxonomy.info.yml"
              #filename: "taxonomy.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "taxonomy_menu" => Drupal\Core\Extension\Extension {#183
              #type: "module"
              #pathname: "modules/contrib/taxonomy_menu/taxonomy_menu.info.yml"
              #filename: "taxonomy_menu.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "term_merge" => Drupal\Core\Extension\Extension {#184
              #type: "module"
              #pathname: "modules/contrib/term_merge/term_merge.info.yml"
              #filename: "term_merge.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "term_reference_change" => Drupal\Core\Extension\Extension {#185
              #type: "module"
              #pathname: "modules/contrib/term_reference_change/term_reference_change.info.yml"
              #filename: null
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "text" => Drupal\Core\Extension\Extension {#186
              #type: "module"
              #pathname: "core/modules/text/text.info.yml"
              #filename: "text.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "token" => Drupal\Core\Extension\Extension {#187
              #type: "module"
              #pathname: "modules/contrib/token/token.info.yml"
              #filename: "token.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "toolbar" => Drupal\Core\Extension\Extension {#188
              #type: "module"
              #pathname: "core/modules/toolbar/toolbar.info.yml"
              #filename: "toolbar.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "user" => Drupal\Core\Extension\Extension {#189
              #type: "module"
              #pathname: "core/modules/user/user.info.yml"
              #filename: "user.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "user_edit_title" => Drupal\Core\Extension\Extension {#190
              #type: "module"
              #pathname: "modules/custom/user_edit_title/user_edit_title.info.yml"
              #filename: "user_edit_title.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "video_embed_field" => Drupal\Core\Extension\Extension {#191
              #type: "module"
              #pathname: "modules/contrib/video_embed_field/video_embed_field.info.yml"
              #filename: "video_embed_field.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "video_embed_html5" => Drupal\Core\Extension\Extension {#192
              #type: "module"
              #pathname: "modules/contrib/video_embed_html5/video_embed_html5.info.yml"
              #filename: "video_embed_html5.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "views_data_export" => Drupal\Core\Extension\Extension {#193
              #type: "module"
              #pathname: "modules/contrib/views_data_export/views_data_export.info.yml"
              #filename: "views_data_export.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "views_slideshow" => Drupal\Core\Extension\Extension {#194
              #type: "module"
              #pathname: "modules/contrib/views_slideshow/views_slideshow.info.yml"
              #filename: "views_slideshow.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "views_slideshow_cycle" => Drupal\Core\Extension\Extension {#195
              #type: "module"
              #pathname: "modules/contrib/views_slideshow/modules/views_slideshow_cycle/views_slideshow_cycle.info.yml"
              #filename: "views_slideshow_cycle.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "views_ui" => Drupal\Core\Extension\Extension {#196
              #type: "module"
              #pathname: "core/modules/views_ui/views_ui.info.yml"
              #filename: "views_ui.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "wp_rss_feed" => Drupal\Core\Extension\Extension {#197
              #type: "module"
              #pathname: "modules/custom/wp_rss_feed/wp_rss_feed.info.yml"
              #filename: "wp_rss_feed.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "pathauto" => Drupal\Core\Extension\Extension {#198
              #type: "module"
              #pathname: "modules/contrib/pathauto/pathauto.info.yml"
              #filename: "pathauto.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "masonry_views" => Drupal\Core\Extension\Extension {#199
              #type: "module"
              #pathname: "modules/contrib/masonry_views/masonry_views.info.yml"
              #filename: "masonry_views.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "views" => Drupal\Core\Extension\Extension {#200
              #type: "module"
              #pathname: "core/modules/views/views.info.yml"
              #filename: "views.module"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
            "standard" => Drupal\Core\Extension\Extension {#201
              #type: "profile"
              #pathname: "core/profiles/standard/standard.info.yml"
              #filename: "standard.profile"
              #splFileInfo: null
              #root: "/opt/drupal/web"
              +info: ? array
            }
          ]
          #loaded: true
          #implementations: array:476 [
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              "path" => false
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              "simple_weather" => false
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              "system" => false
              "wp_rss_feed" => false
            ]
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              "views_ui" => false
            ]
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            ]
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            "field_views_data_alter" => array:1 [
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              "similarterms" => "views"
              "taxonomy" => "views"
              "views" => "views"
            ]
            "views_plugins_row_alter" => array:1 [
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            ]
            "entity_query_block_content_type_alter" => []
            "entity_query_comment_type_alter" => []
            "entity_query_contact_form_alter" => []
            "entity_query_feeds_feed_type_alter" => []
            "entity_query_media_type_alter" => []
            "entity_query_node_type_alter" => []
            "entity_query_taxonomy_vocabulary_alter" => []
            "user_role_load" => []
            "menu_load" => []
            "entity_query_menu_link_content_alter" => []
            "query_entity_query_alter" => []
            "query_entity_query_menu_link_content_alter" => []
            "query_menu_link_content_load_multiple_alter" => []
            "menu_link_content_storage_load" => []
            "menu_link_content_load" => []
            "query_taxonomy_term_load_multiple_alter" => []
            "taxonomy_term_storage_load" => []
            "taxonomy_term_load" => []
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              "dblog" => false
              "devel" => false
              "editor" => false
              "user_edit_title" => false
            ]
            "language_types_info" => []
            "language_types_info_alter" => array:1 [
              "language" => false
            ]
            "node_view_mode_alter" => []
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            "theme" => array:43 [
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              "antibot" => false
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              "ckeditor5" => false
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              "toolbar" => false
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              "video_embed_field" => false
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              "views_data_export" => false
              "views_slideshow" => false
              "views_slideshow_cycle" => false
              "views_ui" => false
              "views" => false
            ]
            "views_plugins_pager_alter" => []
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            "entity_view_mode_load" => []
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              "language" => false
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            "query_views_frontpage_alter" => []
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              "media_library" => false
              "metatag_views" => false
            ]
            "theme_suggestions_views_view" => []
            "theme_suggestions_views_view_alter" => []
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            "local_tasks_alter" => array:8 [
              "devel" => false
              "field_ui" => false
              "filefield_paths" => false
              "media_library" => false
              "node" => false
              "scheduler" => false
              "taxonomy" => false
              "views" => false
            ]
            "node_access" => array:1 [
              "node" => false
            ]
            "menu_local_tasks_alter" => array:1 [
              "contact" => false
            ]
            "theme_suggestions_menu_local_tasks" => []
            "theme_suggestions_menu_local_tasks_alter" => []
            "theme_suggestions_menu_local_task" => []
            "theme_suggestions_menu_local_task_alter" => []
            "theme_suggestions_page_title" => []
            "theme_suggestions_page_title_alter" => []
            "views_plugins_area_alter" => []
            "theme_suggestions_views_view_field" => []
            "theme_suggestions_views_view_field_alter" => []
            "entity_view_display_create" => []
            "entity_create" => []
            "field_info_max_weight" => array:1 [
              "field_group" => false
            ]
            "taxonomy_term_access" => []
            "theme_suggestions_time" => []
            "theme_suggestions_time_alter" => []
            "theme_suggestions_views_view_unformatted" => []
            "theme_suggestions_views_view_unformatted_alter" => []
            "theme_suggestions_views_view_fields" => []
            "theme_suggestions_views_view_fields_alter" => []
            "block_view_wp_rss_feed_block_alter" => []
            "theme_suggestions_off_canvas_page_wrapper" => []
            "theme_suggestions_off_canvas_page_wrapper_alter" => []
            "theme_suggestions_big_pipe_interface_preview" => array:1 [
              "big_pipe" => false
            ]
            "theme_suggestions_big_pipe_interface_preview_alter" => []
            "library_info_build" => []
            "library_info_alter" => array:5 [
              "better_exposed_filters" => false
              "ckeditor5" => false
              "locale" => false
              "masonry" => false
              "system" => false
            ]
            "css_alter" => []
            "js_alter" => array:2 [
              "ckeditor5" => false
              "locale" => false
            ]
            "js_settings_build" => array:1 [
              "system" => false
            ]
            "js_settings_alter" => array:2 [
              "system" => false
              "user" => false
            ]
            "entity_query_shortcut_alter" => []
            "query_entity_query_shortcut_alter" => []
            "query_shortcut_load_multiple_alter" => []
            "shortcut_storage_load" => []
            "shortcut_load" => []
            "theme_suggestions_links" => []
            "theme_suggestions_links_alter" => []
            "ajax_render_alter" => []
            "node_grants_alter" => []
            "user_access" => []
            "user_view_mode_alter" => []
            "user_build_defaults_alter" => []
            "field_group_content_element_keys_alter" => []
            "field_group_pre_render" => array:1 [
              "field_group" => false
            ]
            "field_group_pre_render_alter" => []
            "field_group_build_pre_render_alter" => array:1 [
              "field_group" => false
            ]
            "user_view" => array:1 [
              "user" => false
            ]
            "user_view_alter" => array:1 [
              "user" => false
            ]
            "theme_suggestions_user" => []
            "theme_suggestions_user_alter" => []
            "theme_suggestions_image_formatter" => []
            "theme_suggestions_image_formatter_alter" => []
            "theme_suggestions_image_style" => []
            "theme_suggestions_image_style_alter" => []
            "theme_suggestions_image" => []
            "theme_suggestions_image_alter" => []
            "theme_suggestions_field_group_html_element" => []
            "theme_suggestions_field_group_html_element_alter" => []
            "theme_suggestions_simplesocial_share_buttons" => []
            "theme_suggestions_simplesocial_share_buttons_alter" => []
            "theme_suggestions_views_view_masonry" => []
            "theme_suggestions_views_view_masonry_alter" => []
            "masonry_script_alter" => []
            "query_views_taxonomy_term_alter" => []
            "taxonomy_term_view_mode_alter" => []
            "taxonomy_term_build_defaults_alter" => []
            "taxonomy_term_view" => []
            "taxonomy_term_view_alter" => []
            "theme_suggestions_taxonomy_term" => array:1 [
              "taxonomy" => false
            ]
            "theme_suggestions_taxonomy_term_alter" => []
            "theme_suggestions_pager" => []
            "theme_suggestions_pager_alter" => []
            "theme_suggestions_filter_caption" => []
            "theme_suggestions_filter_caption_alter" => []
            "entity_query_file_alter" => []
            "query_entity_query_file_alter" => []
            "image_toolkit_operation_alter" => []
            "metatag_route_entity" => array:1 [
              "metatag_views" => false
            ]
            "views_plugins_relationship_alter" => []
            "query_user_access_alter" => []
            "views_slideshow_type_info_alter" => []
            "views_slideshow_widget_type_info_alter" => []
            "views_slideshow_widget_info_alter" => []
            "theme_suggestions_views_view_slideshow" => []
            "theme_suggestions_views_view_slideshow_alter" => []
            "views_slideshow_skin_info_alter" => []
            "theme_suggestions_views_slideshow_main_section" => []
            "theme_suggestions_views_slideshow_main_section_alter" => []
            "theme_suggestions_views_slideshow_cycle_main_frame" => []
            "theme_suggestions_views_slideshow_cycle_main_frame_alter" => []
            "theme_suggestions_views_slideshow_cycle_main_frame_row" => []
            "theme_suggestions_views_slideshow_cycle_main_frame_row_alter" => []
            "theme_suggestions_views_slideshow_cycle_main_frame_row_item" => []
            "theme_suggestions_views_slideshow_cycle_main_frame_row_item_alter" => []
            "theme_suggestions_views_slideshow_pager_widget" => []
            "theme_suggestions_views_slideshow_pager_widget_alter" => []
            "theme_suggestions_views_slideshow_pager_bullets" => []
            "theme_suggestions_views_slideshow_pager_bullets_alter" => []
            "query_views_partnerek_alter" => []
            "query_views_extra_alter" => []
            "node_create_access" => []
            "form_user_login_form_alter" => array:2 [
              "email_registration" => false
              "login_redirect" => false
            ]
            "theme_suggestions_antibot_no_js" => []
            "theme_suggestions_antibot_no_js_alter" => []
            "entity_query_user_alter" => []
            "query_entity_query_user_alter" => []
            "user_login" => array:1 [
              "user" => false
            ]
            "query_views_felhasznalo_page_alter" => []
            "query_views_stand_alter" => []
            "theme_suggestions_turnjs_flipbook_cover" => []
            "theme_suggestions_turnjs_flipbook_cover_alter" => []
            "theme_suggestions_views_mini_pager" => []
            "theme_suggestions_views_mini_pager_alter" => []
            "entity_query_path_alias_alter" => []
            "query_entity_query_path_alias_alter" => []
            "query_path_alias_load_multiple_alter" => []
            "path_alias_storage_load" => []
            "path_alias_load" => []
            "devel_dumper_info_alter" => []
            "colorbox_settings_alter" => []
            "theme_suggestions_colorbox_formatter" => []
            "theme_suggestions_colorbox_formatter_alter" => []
            "form_system_image_toolkit_settings_alter" => []
            "theme_suggestions_system_config_form" => []
            "theme_suggestions_system_config_form_alter" => []
            "theme_suggestions_radios" => []
            "theme_suggestions_radios_alter" => []
            "theme_suggestions_fieldset" => []
            "theme_suggestions_fieldset_alter" => []
            "theme_suggestions_details" => []
            "theme_suggestions_details_alter" => []
            "block_build_system_breadcrumb_block_alter" => []
            "block_view_system_breadcrumb_block_alter" => []
            "system_breadcrumb_alter" => array:1 [
              "menu_ui" => false
            ]
            "theme_suggestions_breadcrumb" => []
            "theme_suggestions_breadcrumb_alter" => []
            "form_membercheck_payment_form_alter" => []
            "query_feeds_feed_load_multiple_alter" => []
            "feeds_feed_storage_load" => []
            "feeds_feed_load" => []
            "query_term_node_count_alter" => []
            "theme_suggestions_table" => []
            "theme_suggestions_table_alter" => []
            "entity_query_taxonomy_term_alter" => []
            "entity_query_tag__vocabulary_term_count_alter" => []
            "entity_query_tag__taxonomy_term__vocabulary_term_count_alter" => []
            "query_entity_query_taxonomy_term_alter" => []
            "query_vocabulary_term_count_alter" => []
            "query_vocabulary_node_count_alter" => []
            "node_links_alter" => array:2 [
              "comment" => false
              "statistics" => false
            ]
            "query_views_aprohirdetes_kategoriak_alter" => []
            "query_entity_access_alter" => []
            "query_comment_filter_alter" => []
            "query_pager_alter" => []
            "query_comment_load_multiple_alter" => []
            "comment_storage_load" => []
            "comment_load" => []
            "comment_view_mode_alter" => []
            "comment_build_defaults_alter" => []
            "comment_view" => []
            "comment_view_alter" => []
            "theme_suggestions_comment" => []
            "theme_suggestions_comment_alter" => array:1 [
              "views" => false
            ]
            "theme_suggestions_submitted" => array:1 [
              "manage_display" => false
            ]
            "theme_suggestions_submitted_alter" => []
            "theme_suggestions_username" => []
            "theme_suggestions_username_alter" => []
            "query_menu_link_content_access_alter" => []
            "menu_link_content_access" => []
            "entity_operation" => array:10 [
              "block_content" => false
              "content_access" => false
              "devel" => false
              "feeds_tamper" => false
              "field_ui" => false
              "menu_ui" => false
              "search_api_solr" => false
              "taxonomy" => false
              "user" => false
              "views_ui" => false
            ]
            "entity_operation_alter" => array:1 [
              "simple_cron" => false
            ]
            "query_views_elofizetes_alter" => []
            "comment_access" => []
            "query_views_taxonomiakifejezes_aprohirdetes__alter" => []
          ]
          #verified: array:9 [
            "language_types_info" => true
            "language_types_info_alter" => true
            "entity_preload" => true
            "entity_load" => true
            "node_load" => true
            "node_view_mode_alter" => true
            "entity_view_mode_alter" => true
            "node_build_defaults_alter" => true
            "entity_build_defaults_alter" => true
          ]
          #hookInfo: null
          #cacheBackend: Drupal\Core\Cache\DatabaseBackend {#38
            #maxRows: 5000
            #bin: "cache_bootstrap"
            #connection: Drupal\mysql\Driver\Database\mysql\Connection {#15
              #target: "default"
              #key: "default"
              #logger: null
              #transactionLayers: []
              #driverClasses: []
              #statementWrapperClass: "Drupal\Core\Database\StatementWrapperIterator"
              #transactionalDDLSupport: false
              #connection: PDO {#14 …2}
              #connectionOptions: array:11 [ …11]
              #schema: null
              #prefix: ""
              #tablePlaceholderReplacements: array:2 [ …2]
              #prefixes: []
              #prefixSearch: []
              #prefixReplace: []
              #unprefixedTablesMap: []
              #escapedTables: array:14 [ …14]
              #escapedFields: array:16 [ …16]
              #escapedAliases: array:7 [ …7]
              #rootTransactionEndCallbacks: []
              #identifierQuotes: array:2 [ …2]
              -enabledEvents: []
              #transactionManager: ? Drupal\Core\Database\Transaction\TransactionManagerInterface|false
              #needsCleanup: false
              -serverVersion: null
            }
            #checksumProvider: Drupal\Core\Cache\DatabaseCacheTagsChecksum {#75
              #connection: Drupal\mysql\Driver\Database\mysql\Connection {#15}
              #invalidatedTags: []
              #delayedTags: []
              #tagCache: array:7 [ …7]
            }
            #serializer: Drupal\Component\Serialization\PhpSerialize {#58}
            #time: Drupal\Component\Datetime\Time {#71
              #requestStack: Symfony\Component\HttpFoundation\RequestStack {#21
                -requests: array:2 [ …2]
              }
              #proxyRequestTime: ? float
            }
          }
          #cacheNeedsWriting: false
          #alterFunctions: array:3 [
            "language_types_info" => array:1 [
              0 => "language_language_types_info_alter"
            ]
            "node_view_mode,entity_view_mode" => []
            "node_build_defaults,entity_build_defaults" => []
          ]
          #root: "/opt/drupal/web"
          #includeFileKeys: []
        }
        #stringTranslation: Drupal\Core\StringTranslation\TranslationManager {#318
          #translators: array:2 [
            30 => array:1 [
              0 => Drupal\Core\StringTranslation\Translator\CustomStrings {#321 …4}
            ]
            0 => array:1 [
              0 => Drupal\locale\LocaleTranslation {#327 …10}
            ]
          ]
          #sortedTranslators: null
          #defaultLangcode: "hu"
        }
        #_serviceIds: []
        #_entityStorages: []
        #entityTypeId: "node"
        #entityType: Drupal\Core\Entity\ContentEntityType {#614
          #id: "node"
          #class: "Drupal\node\Entity\Node"
          #provider: "node"
          #static_cache: true
          #render_cache: true
          #persistent_cache: true
          #entity_keys: array:12 [
            "id" => "nid"
            "revision" => "vid"
            "bundle" => "type"
            "label" => "title"
            "langcode" => "langcode"
            "uuid" => "uuid"
            "status" => "status"
            "published" => "status"
            "uid" => "uid"
            "owner" => "uid"
            "default_langcode" => "default_langcode"
            "revision_translation_affected" => "revision_translation_affected"
          ]
          #originalClass: "Drupal\node\Entity\Node"
          #handlers: array:9 [
            "storage" => "Drupal\node\NodeStorage"
            "storage_schema" => "Drupal\node\NodeStorageSchema"
            "view_builder" => "Drupal\node\NodeViewBuilder"
            "access" => "Drupal\node\NodeAccessControlHandler"
            "views_data" => "Drupal\node\NodeViewsData"
            "form" => array:4 [
              "default" => "Drupal\node\NodeForm"
              "delete" => "Drupal\node\Form\NodeDeleteForm"
              "edit" => "Drupal\node\NodeForm"
              "delete-multiple-confirm" => "Drupal\node\Form\DeleteMultiple"
            ]
            "route_provider" => array:1 [
              "html" => "Drupal\node\Entity\NodeRouteProvider"
            ]
            "list_builder" => "Drupal\node\NodeListBuilder"
            "translation" => "Drupal\node\NodeTranslationHandler"
          ]
          #admin_permission: null
          #collection_permission: "access content overview"
          #permission_granularity: "bundle"
          #links: array:13 [
            "canonical" => "/node/{node}"
            "delete-form" => "/node/{node}/delete"
            "delete-multiple-form" => "/admin/content/node/delete"
            "edit-form" => "/node/{node}/edit"
            "version-history" => "/node/{node}/revisions"
            "revision" => "/node/{node}/revisions/{node_revision}/view"
            "create" => "/node"
            "devel-load" => "/devel/node/{node}"
            "devel-load-with-references" => "/devel/load-with-references/node/{node}"
            "devel-path-alias" => "/devel/path-alias/node/{node}"
            "devel-render" => "/devel/render/node/{node}"
            "devel-definition" => "/devel/definition/node/{node}"
            "token-devel" => "/devel/token/node/{node}"
          ]
          #bundle_entity_type: "node_type"
          #bundle_of: null
          #bundle_label: Drupal\Core\StringTranslation\TranslatableMarkup {#615
            #string: "Content type"
            #arguments: []
            #translatedMarkup: null
            #options: []
            #stringTranslation: null
          }
          #base_table: "node"
          #revision_data_table: "node_field_revision"
          #revision_table: "node_revision"
          #data_table: "node_field_data"
          #internal: false
          #translatable: true
          #show_revision_ui: true
          #label: Drupal\Core\StringTranslation\TranslatableMarkup {#616
            #string: "Content"
            #arguments: []
            #translatedMarkup: null
            #options: []
            #stringTranslation: null
          }
          #label_collection: Drupal\Core\StringTranslation\TranslatableMarkup {#617
            #string: "Content"
            #arguments: []
            #translatedMarkup: null
            #options: []
            #stringTranslation: null
          }
          #label_singular: Drupal\Core\StringTranslation\TranslatableMarkup {#618
            #string: "content item"
            #arguments: []
            #translatedMarkup: null
            #options: []
            #stringTranslation: null
          }
          #label_plural: Drupal\Core\StringTranslation\TranslatableMarkup {#619
            #string: "content items"
            #arguments: []
            #translatedMarkup: null
            #options: []
            #stringTranslation: null
          }
          #label_count: array:3 [
            "singular" => "@count content item"
            "plural" => "@count content items"
            "context" => null
          ]
          #uri_callback: null
          #group: "content"
          #group_label: Drupal\Core\StringTranslation\TranslatableMarkup {#620
            #string: "Content"
            #arguments: []
            #translatedMarkup: null
            #options: array:1 [
              "context" => "Entity type group"
            ]
            #stringTranslation: null
          }
          #field_ui_base_route: "entity.node_type.edit_form"
          #common_reference_target: true
          #list_cache_contexts: array:1 [
            0 => "user.node_grants:view"
          ]
          #list_cache_tags: array:1 [
            0 => "node_list"
          ]
          #constraints: array:3 [
            "EntityChanged" => null
            "EntityUntranslatableFields" => null
            "MenuSettings" => []
          ]
          #additional: array:3 [
            "enable_base_field_custom_preprocess_skipping" => true
            "enable_page_title_template" => true
            "token_type" => "node"
          ]
          #_serviceIds: []
          #_entityStorages: []
          #stringTranslation: null
          #revision_metadata_keys: array:4 [
            "revision_user" => "revision_uid"
            "revision_created" => "revision_timestamp"
            "revision_log_message" => "revision_log"
            "revision_default" => "revision_default"
          ]
        }
        #entityRepository: Drupal\Core\Entity\EntityRepository {#382
          #entityTypeManager: Drupal\Core\Entity\EntityTypeManager {#316
            #discovery: Drupal\Core\Plugin\Discovery\AnnotatedClassDiscovery {#314
              #pluginNamespaces: []
              #pluginDefinitionAnnotationName: "Drupal\Core\Entity\Annotation\EntityType"
              #annotationReader: null
              #annotationNamespaces: []
              #fileCache: Drupal\Component\FileCache\FileCache {#317 …3}
              #directorySuffix: "/Entity"
              #namespaceSuffix: "\Entity"
              #rootNamespacesIterator: ArrayObject {#286
                storage: array:143 [ …143]
                flag::STD_PROP_LIST: false
                flag::ARRAY_AS_PROPS: false
                iteratorClass: "ArrayIterator"
              }
            }
            #factory: null
            #mapper: null
            #cacheKey: "entity_type"
            #cacheTags: array:1 [
              0 => "entity_types"
            ]
            #alterHook: "entity_type"
            #subdir: "Entity"
            #moduleHandler: Drupal\Core\Extension\ModuleHandler {#26}
            #moduleExtensionList: ? ?Drupal\Core\Extension\ModuleExtensionList
            #defaults: []
            #pluginDefinitionAnnotationName: "Drupal\Component\Annotation\Plugin"
            #pluginDefinitionAttributeName: null
            #pluginInterface: "Drupal\Core\Entity\EntityInterface"
            #namespaces: ArrayObject {#286}
            #additionalAnnotationNamespaces: []
            #definitions: array:57 [
              "block" => Drupal\Core\Config\Entity\ConfigEntityType {#456 …44}
              "block_content" => Drupal\Core\Entity\ContentEntityType {#450 …41}
              "block_content_type" => Drupal\Core\Config\Entity\ConfigEntityType {#326 …44}
              "block_group_content" => Drupal\Core\Config\Entity\ConfigEntityType {#465 …44}
              "comment_type" => Drupal\Core\Config\Entity\ConfigEntityType {#462 …44}
              "comment" => Drupal\Core\Entity\ContentEntityType {#477 …41}
              "contact_message" => Drupal\Core\Entity\ContentEntityType {#494 …41}
              "contact_form" => Drupal\Core\Config\Entity\ConfigEntityType {#501 …44}
              "editor" => Drupal\Core\Config\Entity\ConfigEntityType {#507 …44}
              "feeds_feed" => Drupal\Core\Entity\ContentEntityType {#513 …41}
              "feeds_subscription" => Drupal\Core\Entity\ContentEntityType {#517 …41}
              "feeds_feed_type" => Drupal\Core\Config\Entity\ConfigEntityType {#520 …44}
              "field_config" => Drupal\Core\Config\Entity\ConfigEntityType {#523 …44}
              "field_storage_config" => Drupal\Core\Config\Entity\ConfigEntityType {#529 …44}
              "file" => Drupal\Core\Entity\ContentEntityType {#535 …41}
              "filter_format" => Drupal\Core\Config\Entity\ConfigEntityType {#541 …44}
              "image_style" => Drupal\Core\Config\Entity\ConfigEntityType {#547 …44}
              "imce_profile" => Drupal\Core\Config\Entity\ConfigEntityType {#553 …44}
              "configurable_language" => Drupal\Core\Config\Entity\ConfigEntityType {#556 …44}
              "language_content_settings" => Drupal\Core\Config\Entity\ConfigEntityType {#562 …44}
              "media_type" => Drupal\Core\Config\Entity\ConfigEntityType {#568 …44}
              "media" => Drupal\Core\Entity\ContentEntityType {#574 …41}
              "member_order" => Drupal\Core\Entity\ContentEntityType {#580 …41}
              "menu_link_content" => Drupal\Core\Entity\ContentEntityType {#599 …41}
              "metatag_defaults" => Drupal\Core\Config\Entity\ConfigEntityType {#605 …44}
              "node_type" => Drupal\Core\Config\Entity\ConfigEntityType {#608 …44}
              "node" => Drupal\Core\Entity\ContentEntityType {#614}
              "path_alias" => Drupal\Core\Entity\ContentEntityType {#621 …41}
              "redirect" => Drupal\Core\Entity\ContentEntityType {#627 …41}
              "rest_resource_config" => Drupal\Core\Config\Entity\ConfigEntityType {#631 …44}
              "search_api_task" => Drupal\Core\Entity\ContentEntityType {#637 …41}
              "search_api_index" => Drupal\Core\Config\Entity\ConfigEntityType {#643 …44}
              "search_api_server" => Drupal\Core\Config\Entity\ConfigEntityType {#649 …44}
              "solr_request_dispatcher" => Drupal\Core\Config\Entity\ConfigEntityType {#655 …44}
              "solr_request_handler" => Drupal\Core\Config\Entity\ConfigEntityType {#658 …44}
              "solr_field_type" => Drupal\Core\Config\Entity\ConfigEntityType {#661 …44}
              "solr_cache" => Drupal\Core\Config\Entity\ConfigEntityType {#664 …44}
              "shortcut" => Drupal\Core\Entity\ContentEntityType {#667 …41}
              "shortcut_set" => Drupal\Core\Config\Entity\ConfigEntityType {#674 …44}
              "simple_cron_job" => Drupal\Core\Config\Entity\ConfigEntityType {#680 …44}
              "simple_sitemap_type" => Drupal\Core\Config\Entity\ConfigEntityType {#686 …44}
              "simple_sitemap" => Drupal\Core\Config\Entity\ConfigEntityType {#692 …44}
              "menu" => Drupal\Core\Config\Entity\ConfigEntityType {#698 …44}
              "action" => Drupal\Core\Config\Entity\ConfigEntityType {#704 …44}
              "taxonomy_term" => Drupal\Core\Entity\ContentEntityType {#710 …41}
              "taxonomy_vocabulary" => Drupal\Core\Config\Entity\ConfigEntityType {#717 …44}
              "taxonomy_menu" => Drupal\Core\Config\Entity\ConfigEntityType {#723 …44}
              "user_role" => Drupal\Core\Config\Entity\ConfigEntityType {#726 …44}
              "user" => Drupal\Core\Entity\ContentEntityType {#732 …41}
              "pathauto_pattern" => Drupal\Core\Config\Entity\ConfigEntityType {#738 …44}
              "view" => Drupal\Core\Config\Entity\ConfigEntityType {#741 …44}
              "date_format" => Drupal\Core\Config\Entity\ConfigEntityType {#747 …44}
              "base_field_override" => Drupal\Core\Config\Entity\ConfigEntityType {#750 …44}
              "entity_view_mode" => Drupal\Core\Config\Entity\ConfigEntityType {#753 …44}
              "entity_form_display" => Drupal\Core\Config\Entity\ConfigEntityType {#756 …44}
              "entity_view_display" => Drupal\Core\Config\Entity\ConfigEntityType {#759 …44}
              "entity_form_mode" => Drupal\Core\Config\Entity\ConfigEntityType {#762 …44}
            ]
            #cacheBackend: Drupal\Core\Cache\DatabaseBackend {#277
              #maxRows: 5000
              #bin: "cache_discovery"
              #connection: Drupal\mysql\Driver\Database\mysql\Connection {#15}
              #checksumProvider: Drupal\Core\Cache\DatabaseCacheTagsChecksum {#75}
              #serializer: Drupal\Component\Serialization\PhpSerialize {#58}
              #time: Drupal\Component\Datetime\Time {#71}
            }
            #useCaches: true
            #handlers: array:2 [
              "storage" => array:3 [ …3]
              "view_builder" => array:1 [ …1]
            ]
            #stringTranslation: Drupal\Core\StringTranslation\TranslationManager {#318}
            #classResolver: Drupal\Core\DependencyInjection\ClassResolver {#69
              #container: Drupal\Core\DependencyInjection\Container {#24 …7}
              #_serviceIds: []
              #_entityStorages: []
            }
            #entityLastInstalledSchemaRepository: Drupal\Core\Entity\EntityLastInstalledSchemaRepository {#315
              #keyValueFactory: Drupal\Core\KeyValueStore\KeyValueFactory {#236 …3}
              #cacheBackend: Drupal\Core\Cache\DatabaseBackend {#277}
              #entityTypeDefinitions: array:57 [ …57]
            }
            #container: Drupal\Core\DependencyInjection\Container {#24 …7}
          }
          #languageManager: Drupal\language\ConfigurableLanguageManager {#289
            #languages: array:1 [
              "hu" => array:2 [
                1 => array:1 [ …1]
                3 => array:3 [ …3]
              ]
            ]
            #defaultLanguage: Drupal\Core\Language\LanguageDefault {#280
              #language: Drupal\Core\Language\Language {#283
                #name: "Hungarian"
                #id: "hu"
                #direction: "ltr"
                #weight: 0
                #locked: false
              }
            }
            #definedLanguageTypesInfo: array:3 [
              "language_interface" => array:3 [
                "name" => Drupal\Core\StringTranslation\TranslatableMarkup {#275 …5}
                "description" => Drupal\Core\StringTranslation\TranslatableMarkup {#258 …5}
                "locked" => true
              ]
              "language_content" => array:3 [
                "name" => Drupal\Core\StringTranslation\TranslatableMarkup {#262 …5}
                "description" => Drupal\Core\StringTranslation\TranslatableMarkup {#240 …5}
                "locked" => true
              ]
              "language_url" => array:1 [
                "locked" => true
              ]
            ]
            #_serviceIds: []
            #_entityStorages: []
            #configFactory: Drupal\Core\Config\ConfigFactory {#274
              #storage: Drupal\Core\Config\CachedStorage {#271
                #storage: Drupal\Core\Config\DatabaseStorage {#270 …6}
                #cache: Drupal\Core\Cache\DatabaseBackend {#272 …6}
                #findByPrefixCache: array:1 [ …1]
                #_serviceIds: []
                #_entityStorages: []
              }
              #eventDispatcher: Drupal\Component\EventDispatcher\ContainerAwareEventDispatcher {#64 …3}
              #cache: array:9 [
                "system.date:global_overrides:hu" => Drupal\Core\Config\ImmutableConfig {#293 …16}
                "devel.settings:global_overrides:hu" => Drupal\Core\Config\ImmutableConfig {#297 …16}
                "redirect.settings:global_overrides:hu" => Drupal\Core\Config\ImmutableConfig {#342 …16}
                "language.entity.hu:global_overrides:hu" => Drupal\Core\Config\ImmutableConfig {#1235 …16}
                 …5
              ]
              #typedConfigManager: Drupal\Core\Config\TypedConfigManager {#276 …26}
              #configFactoryOverrides: array:1 [ …1]
            }
            #moduleHandler: Drupal\Core\Extension\ModuleHandler {#26}
            #configFactoryOverride: Drupal\language\Config\LanguageConfigFactoryOverride {#266
              #baseStorage: Drupal\Core\Config\CachedStorage {#271}
              #storages: array:1 [ …1]
              #typedConfigManager: Drupal\Core\Config\TypedConfigManager {#276 …26}
              #eventDispatcher: Drupal\Component\EventDispatcher\ContainerAwareEventDispatcher {#64 …3}
              #language: Drupal\Core\Language\Language {#283}
            }
            #requestStack: Symfony\Component\HttpFoundation\RequestStack {#21}
            #negotiator: null
            #languageTypes: null
            #languageTypesInfo: array:3 [
              "language_interface" => array:3 [ …3]
              "language_content" => array:4 [ …4]
              "language_url" => array:2 [ …2]
            ]
            #negotiatedLanguages: array:2 [
              "language_interface" => Drupal\Core\Language\Language {#283}
              "language_url" => Drupal\Core\Language\Language {#283}
            ]
            #negotiatedMethods: null
            #initialized: false
            #initializing: []
          }
          #contextRepository: Drupal\Core\Plugin\Context\LazyContextRepository {#384
            #contextProviderServiceIDs: array:4 [
              0 => "language.current_language_context"
              1 => "node.node_route_context"
              2 => "taxonomy_term.taxonomy_term_route_context"
              3 => "user.current_user_context"
            ]
            #container: Drupal\Core\DependencyInjection\Container {#24 …7}
            #contexts: []
          }
        }
        #entityDisplayRepository: Drupal\Core\Entity\EntityDisplayRepository {#773
          #displayModeInfo: array:1 [
            "view_mode" => array:13 [
              "block" => array:1 [ …1]
              "block_content" => array:2 [ …2]
              "comment" => array:2 [ …2]
              "contact_message" => array:1 [ …1]
              "feeds_feed" => array:1 [ …1]
              "file" => array:1 [ …1]
              "media" => array:2 [ …2]
              "menu_link_content" => array:1 [ …1]
              "node" => array:6 [ …6]
              "path_alias" => array:1 [ …1]
              "shortcut" => array:1 [ …1]
              "taxonomy_term" => array:3 [ …3]
              "user" => array:4 [ …4]
            ]
          ]
          #languageManager: Drupal\language\ConfigurableLanguageManager {#289}
          #entityTypeManager: Drupal\Core\Entity\EntityTypeManager {#316}
          #moduleHandler: Drupal\Core\Extension\ModuleHandler {#26}
          #cacheBackend: Drupal\Core\Cache\DatabaseBackend {#277}
          #useCaches: true
          #stringTranslation: null
        }
        #cacheBin: "render"
        #languageManager: Drupal\language\ConfigurableLanguageManager {#289}
        #themeRegistry: Drupal\Core\Theme\Registry {#335
          #theme: Drupal\Core\Theme\ActiveTheme {#1328
            #name: "szabadsag"
            #logo: "themes/custom/szabadsag/logo.svg"
            #path: "themes/custom/szabadsag"
            #engine: "twig"
            #owner: "core/themes/engines/twig/twig.engine"
            #baseThemeExtensions: array:2 [ …2]
            #extension: Drupal\Core\Extension\Extension {#1336 …19}
            #libraries: array:2 [ …2]
            #regions: array:30 [ …30]
            #librariesOverride: array:2 [ …2]
            #librariesExtend: array:1 [ …1]
          }
          #lock: Drupal\Core\ProxyClass\Lock\DatabaseLockBackend {#233
            #drupalProxyOriginalServiceId: "drupal.proxy_original_service.lock"
            #service: null
            #container: Drupal\Core\DependencyInjection\Container {#24 …7}
            #_serviceIds: []
            #_entityStorages: []
          }
          #registry: []
          #cache: Drupal\Core\Cache\DatabaseBackend {#299
            #maxRows: 5000
            #bin: "cache_default"
            #connection: Drupal\mysql\Driver\Database\mysql\Connection {#15}
            #checksumProvider: Drupal\Core\Cache\DatabaseCacheTagsChecksum {#75}
            #serializer: Drupal\Component\Serialization\PhpSerialize {#58}
            #time: Drupal\Component\Datetime\Time {#71}
          }
          #moduleHandler: Drupal\Core\Extension\ModuleHandler {#26}
          #runtimeRegistry: array:1 [
            "szabadsag" => Drupal\Core\Utility\ThemeRegistry {#1350 …12}
          ]
          #initialized: false
          #themeName: null
          #root: "/opt/drupal/web"
          #themeHandler: Drupal\Core\Extension\ThemeHandler {#325
            #list: array:4 [ …4]
            #configFactory: Drupal\Core\Config\ConfigFactory {#274}
            #themeList: Drupal\Core\Extension\ThemeExtensionList {#333 …15}
            #root: "/opt/drupal/web"
          }
          #themeInitialization: Drupal\Core\Theme\ThemeInitialization {#341
            #themeHandler: Drupal\Core\Extension\ThemeHandler {#325}
            #cache: Drupal\Core\Cache\DatabaseBackend {#38}
            #root: "/opt/drupal/web"
            #extensions: null
            #moduleHandler: Drupal\Core\Extension\ModuleHandler {#26}
          }
          #themeManager: Drupal\Core\Theme\ThemeManager {#340
            #themeNegotiator: Drupal\Core\Theme\ThemeNegotiator {#348 …3}
            #themeRegistry: Drupal\Core\Theme\Registry {#335}
            #activeTheme: Drupal\Core\Theme\ActiveTheme {#1328}
            #themeInitialization: Drupal\Core\Theme\ThemeInitialization {#341}
            #moduleHandler: Drupal\Core\Extension\ModuleHandler {#26}
            #root: "/opt/drupal/web"
          }
          #runtimeCache: Drupal\Core\Cache\DatabaseBackend {#38}
          #moduleList: Drupal\Core\Extension\ModuleExtensionList {#346
            #type: "module"
            #root: "/opt/drupal/web"
            #cache: Drupal\Core\Cache\DatabaseBackend {#299}
            #defaults: array:5 [ …5]
            #infoParser: Drupal\Core\Extension\InfoParser {#331 …2}
            #moduleHandler: Drupal\Core\Extension\ModuleHandler {#26}
            #extensions: null
            #extensionInfo: null
            #pathNames: null
            #addedPathNames: array:126 [ …126]
            #state: Drupal\Core\State\State {#234 …11}
            #installProfile: "standard"
            #configFactory: Drupal\Core\Config\ConfigFactory {#274}
            #profileList: Drupal\Core\Extension\ProfileExtensionList {#351 …12}
            #stringTranslation: null
          }
          #kernel: Drupal\Core\DrupalKernel {#2
            #phpArrayDumperClass: "\Drupal\Component\DependencyInjection\Dumper\OptimizedPhpArrayDumper"
            #defaultBootstrapContainerDefinition: array:2 [ …2]
            #bootstrapContainerClass: "\Drupal\Component\DependencyInjection\PhpArrayContainer"
            #bootstrapContainer: Drupal\Component\DependencyInjection\PhpArrayContainer {#13}
            #container: Drupal\Core\DependencyInjection\Container {#24 …7}
            #environment: "prod"
            #booted: true
            #prepared: true
            #moduleList: null
            #moduleData: []
            #classLoader: Composer\Autoload\ClassLoader {#1 …11}
            #configStorage: null
            #allowDumping: true
            #containerNeedsRebuild: false
            #containerNeedsDumping: false
            #serviceYamls: null
            #serviceProviderClasses: null
            #serviceProviders: null
            #sitePath: "sites/default"
            #root: "/opt/drupal/web"
            #serviceIdMapping: []
          }
        }
        #singleFieldDisplays: null
      }
      1 => "build"
    ]
  ]
]