tag:blogger.com,1999:blog-64850882956080669482024-03-21T23:12:42.472+01:00Matematika SzakkörUnknownnoreply@blogger.comBlogger37125tag:blogger.com,1999:blog-6485088295608066948.post-63342941643637464022015-03-21T18:31:00.000+01:002015-03-21T18:33:59.263+01:00Kenguru Határok Nélkül 2015<div dir="ltr" style="text-align: left;" trbidi="on">
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A szervezők az idei évben is meglepetéssel készültek a versenyző diákoknak. Jó fejtörést mindenkinek!</div>
Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-6485088295608066948.post-40507428516322577182015-03-07T08:34:00.000+01:002015-03-07T08:44:53.481+01:00Sierpinski Carpet Serbia <div dir="ltr" style="text-align: left;" trbidi="on">
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Március 14-én, iskolánk tanulói két csoporttal fognak részt venni a világ legnagyobb <a href="http://anicatrickovic.weebly.com/doga273aji/projekat-tepih-sjerpinskog">Sierpinski-szőnyegének</a> összeállításában.</div>
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Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-6485088295608066948.post-72358734920227774362015-01-03T11:59:00.001+01:002015-01-03T12:01:25.158+01:00Sir Isaac Newton, angol természettudós<div dir="ltr" style="text-align: left;" trbidi="on">
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„Olyan vagyok, mint a tengerparton játszó gyermek, aki játék közben imitt-amott egy, a szokottnál laposabb kavicsot vagy szebb kagylót talál, míg az igazság nagy óceánja egészében felfedezetlenül terül el tekintetem előtt.”<br />
(Sir Isaac Newton) <br />
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<b>1643. január 4-én született</b> Sir Isaac Newton angol természettudós, aki élete során a matematika, a csillagászat és a fizika terén is megalapozta mai ismereteinket. Newton többek között a differenciál- és integrálszámítás felfedezésével, távcsövének megalkotásával és a mozgásra vonatkozó törvényeivel egy új korba repítette az emberiséget. <br />
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Newton Hannah Ayscough és id. Isaac Newton gyermeke. Woolsthorpe városában látta meg a napvilágot koraszülöttként, három hónappal azután, hogy édesapja elhunyt. Miután anyja hozzáment a helyi lelkipásztorhoz, Barnabas Smithhez, a kisfiút nagyanyja gondjaira bízták. A fiatalember 12 évesen, a szülőfalujához 10 mérföldre fekvő Grantham város gimnáziumában kezdte meg tanulmányait, ahol kevés figyelmet fordítottak a matematikára, így rendkívüli tehetsége nagyon hosszú ideig nem mutatkozhatott meg. A Granthami Gimnáziumban megtekinthető, ahol nevét az ablakpárkányba véste. Azután kezdett el jól tanulni, miután megverte egyik osztálytársát, és szellemileg is felül akarta múlni. Az első hivatalos feljegyzés, ahol Newtonról van szó, egy bűnügyi jelentés, melyben 4 shillinggel róják meg. Ez úgy történt, hogy egyik nap – amikor éppen a juhokat kellett volna őriznie, a béres fiúra hagyta a jószágokat és a portékákat, amíg ő Grantham-be ment néhány könyvért. Eközben a juhok szétszéledtek, a disznók feltúrták a szomszéd kerítését úgy, hogy azt újra fel kellett húzni. Miután a fiatalember a családi gazdálkodásban sem lelte több örömét, és egykori tanára, Henry Stokes kitartóan ostromolta édesanyját, 1661-ben Newton beiratkozhatott a Cambridge-i Trinity College-be. <br />
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Newton szerényebb anyagi helyzetben volt, mint iskolatársai, ezért egyetemi tanulmányait instruktora inasaként kezdhette meg, ám a szolgálat terhe mellett is messze túlszárnyalta évfolyamtársait. A fiatalember bámulatos sebességgel sajátította el a Trinity College Arisztotelész munkásságán alapuló tananyagát, és hamar önálló kutatásokba kezdett, melyekben Descartes, Galilei, Kopernikusz és Kepler művei kalauzolták őt. Newton mindössze 22 esztendős volt, amikor felfedezte a binomiális tételt, és megkezdte a differenciál- és integrálszámítás módszereinek kidolgozását, amit kortársával, a német Leibnizcel nagyjából egy időben fejezett be. A két szellemóriás a későbbiekben évtizedeken keresztül vitázott a felfedezés elsőségéről, illetve kettejük eltérő matematikai szemléletéről, mely konfliktus egészen a plágium vádjáig fajult. <br />
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Newton időközben megszerezte diplomáját, 1665-ben azonban Cambridge-ben pestisjárvány tört ki, így a fiatalember ismét hazatért Woolsthorpe-ba, ahol két éves „remetesége” alatt szinte összes jelentős tudományos felfedezését előkészítette. Az optikával és a mozgás törvényszerűségeivel egyszerre foglalkozó tudóst 1667-ben aztán kinevezték a Trinity College oktatójának, miután pedig 1669-ben dolgozatot írt a végtelen sorokról, Isaac Barrow átadta neki professzori állását Európa egyik legpatinásabb egyetemén. <br />
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Newton 1670–72 között főként optikával foglalkozott, ebben az időben jött rá arra, hogy a prizma a fehér fényt – hullámhossz szerint – különböző színekre bontja; ez a felfedezése elsősorban azért volt jelentős, mert elméletéből egyenesen következett, hogy a színeket nem a tárgyak határozzák meg, illetve, hogy a fénynek kettős természete van (hullám és részecske). Newton felismerésének gyakorlati haszna volt a Royal Society előtt 1671-ben bemutatott teleszkóp is, mely – csiszolt tükreinek köszönhetően – sokkal élesebb képet adott a Galilei-féle lencsés távcsőnél. A tudós sikerén felbuzdulva hamarosan megjelentette A színről című tanulmányát, melynek téziseit az 1704-es Optikában tökéletesítette.<br />
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Newton legjelentősebb felfedezései mégis a fizika területén születtek, melyek kiindulópontja állítólag ahhoz köthető, hogy Woolsthorpe-i birtokán meglátta, amint egy alma a fáról a földre esik (egyesek szerint a gyümölcs a fejére pottyant). A tudós a későbbi életrajzírók által igencsak kiszínezett eset következtében kezdett foglalkozni Kepler és Galilei mozgásra vonatkozó elméleteivel, melyekből kiindulva négy törvényével alapjaiban változtatta meg a Földünkről és a világegyetemről alkotott képünket. A gravitáció – vagyis az általános tömegvonzás – megismerésének, illetve a tömeggel, az erővel és a mozgással kapcsolatos törvényeknek köszönhetően a Newton fejére pottyant almától kezdve a bolygók mozgásáig egyszeriben minden megfigyelhetővé és kiszámíthatóvá vált. <br />
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A tudós 1687-ben, A természetfilozófia matematikai alapelvei című munkájában közölte négy törvényét, melyek – Newton korábbi matematikai felfedezéseit felhasználva – alátámasztották, és kiegészítették Kepler bolygómozgási törvényét. Ő volt az első, aki megmutatta, hogy az égitestek és a Földön lévő tárgyak mozgását ugyanazon természeti törvények határozzák meg. Matematikai magyarázattal alátámasztotta Kepler bolygómozgási törvényeit. <br />
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjhgtfm9jQpJdz02OR0cOSdH_QIcThOnqBTMP28kgJlGojqgC7I9mhVKCOD-LSAdUymDdtDpFT_XEg_Ylt9M7ZDT8-mEt6csG7Bp3nkCqK_EAwZ1doj1MvTGIMmxv1oAFt0ABdxmGc8jZoo/s1600/newton3.jpg" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjhgtfm9jQpJdz02OR0cOSdH_QIcThOnqBTMP28kgJlGojqgC7I9mhVKCOD-LSAdUymDdtDpFT_XEg_Ylt9M7ZDT8-mEt6csG7Bp3nkCqK_EAwZ1doj1MvTGIMmxv1oAFt0ABdxmGc8jZoo/s1600/newton3.jpg" height="132" width="200" /></a>Newton törvényei: <br />
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I. A tehetetlenség törvénye <br />
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II. A dinamika alaptörvénye <br />
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III. A kölcsönhatás törvénye (akció-reakció törvénye) <br />
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IV. Az erőhatások függetlenségének elve <br />
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Kevéssé ismert, de Newton erőteljesen vonzódott az alkímia és az okkultizmus iránt, illetőleg kísérletet tett arra is, hogy az antikvitás irodalmában megőrzött eseményeket – például a trójai háborút – összeegyeztesse a Biblián alapuló keresztény időszámítással. Bár kétségkívül nem említhető egy napon a bolygómozgások, vagy a fényvisszaverődés törvényszerűségeinek a felismerésével, de Sir Isaac Newton nevéhez fűződött a macskaajtó feltalálása is, mivel a nagy tudóst állítólag bosszantotta, hogy háziállatai lépten-nyomon megzavarják őt munkájában.<br />
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A tudományos világképünk alapjait lerakó tudós <b>1727. március 20</b>-án fejezte be felfedezésekben gazdag életét, melyek nyomán a kor embere előtt feltáruló tengernyi tudás egységes keretbe került. Az Európában és Angliában egyaránt általános megbecsülésnek örvendő professzor jelentőségét talán mindennél jobban megmutatja, hogy I. György a Westminster-apátságban helyeztette őt végső nyugalomra; Newton volt ugyanis az első brit tudós, akit a brit királyi család ebben a kegyben részesített.<br />
<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><img src="http://upload.wikimedia.org/wikipedia/commons/b/ba/Isaac_Newton_grave_in_Westminster_Abbey.jpg" height="400" style="margin-left: auto; margin-right: auto;" width="291" /></td></tr>
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</xml><![endif]--><span style="font-size: x-small;"><b><span style="font-weight: normal;">Sötétben bújt Természet és Törvény,</span></b><span style="font-family: "Times New Roman","serif";"></span></span><br />
<span style="font-size: x-small;"><span style="font-family: "Times New Roman","serif";">
<b><span style="font-weight: normal;">Szólott az Úr: – Legyen Newton! – s
lőn fény.</span></b></span></span><br />
<span style="font-size: x-small;"><span style="font-family: "Times New Roman","serif";">
<b><span style="font-weight: normal;">(Alexander Pope: Sir Isaac Newton
sírfelirata)</span></b></span></span><br />
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Unknownnoreply@blogger.comtag:blogger.com,1999:blog-6485088295608066948.post-31333740108883780292014-12-22T21:19:00.000+01:002014-12-22T21:19:32.165+01:00Srínivásza Rámánudzsan, indiai matematikus<div dir="ltr" style="text-align: left;" trbidi="on">
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127 évvel ezelőtt a mai napon született Srínivásza Rámánudzsan (1887. december 22. – 1920. április 26.) indiai matematikus, akit az egyik legnagyobb matematikai zseniként ünnepel a tudomány egy szegény brahmin családban született Tamil Naduban. </h4>
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Hároméves koráig alig szólalt meg, ezért anyja elvitte anyai nagyapjához, aki a padlóra szórt rizsszemek közé rajzolta a tamil ábécé jeleit a gyerek kezét fogva és hangosan kimondva őket. A gyerek hamarosan már ismerte a 12 magánhangzó, a 18 mássalhangzó és a kombinációjukat alkotó további 216 jelet. Matematikai csodagyerek volt, aki 12 évesen már befejezte tanulmányait a fejlett trigonometria terén, és saját tételein dolgozott. Magasabb tanulmányok folytatása nélkül jelentős felfedezéseket tett a matematikában, különösen a számelméletben vagy a végtelen sorokkal kapcsolatban. Például óriási számokról is villámgyorsan meg tudta állapítani, hogy prímszám-e vagy sem, pedig a nagy számokról nem olyan egyszerű eldönteni, hogy csak önmagával és eggyel osztható-e. Rámánudzsan azt mondta, hogy a számok a barátai. </h4>
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<span class="apple-converted-space" style="margin-left: 1em; margin-right: 1em;"><img src="http://kagylokurt.hu/wp-content/uploads/2008/12/ramanujan.jpg" /> </span></div>
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Később a nagy angol matematikus G.H. Hardy Angliába hívta. Indiában sok nehézséggel találta szemben magát, és szinte csodaszámba ment, hogy az angliai Cambridge-be hívták, ahol elsőrangú matematikusokkal dolgozott együtt. Rámánudzsan nevéhez körülbelül 3.900 önálló matematikai eredmény fűződik. A legtöbb csak a későbbi években bizonyosodott be, mert saját korában nagyon újszerű volt. </h4>
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Még a halálos ágyán is okozott meglepetést: egy rejtélyes puzzle-t. Abban az időben a „fekete lyuk" még ismeretlen fogalom volt. A leírtakat akkoriban senki sem tudta értelmezni. Most a kutatók azt mondják, hogy bebizonyították: Rámánudzsannak igaza volt, és hogy a képlete megmagyarázná a fekete lyukak viselkedését.<span style="color: #252525;"></span></h4>
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Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-6485088295608066948.post-47747117053060626892014-03-22T19:01:00.003+01:002014-03-24T18:10:44.073+01:00Kenguru Határok Nélkül 2014<div dir="ltr" style="text-align: left;" trbidi="on">
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Az idei évben is megrendeztük iskolánkban a Kenguru Matematikaversenyt. A 145 bejelentett tanulóból 139-en jöttek el versenyezni, hogy részesei legyenek a legtömegesebb nemzetközi matematikai megmozdulásnak. Szerbiában idén több, mint 27000 tanuló versenyzett. A szervezők meglepetéssel készültek a résztvevőknek, minden tanuló kulcstartót kapott egy-egy érdekes feladvánnyal.<br />
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Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-6485088295608066948.post-36802992468237069472014-01-26T14:04:00.000+01:002014-01-26T14:04:01.999+01:0040 éves a Rubik-kocka<div dir="ltr" style="text-align: left;" trbidi="on">
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEifsESgSCiFsmJ8WJ9sdQf1tZTxtpdiHEkqLg3UJ373OOcLuV86vUGKdJ_IGn3I7CtxlHV0L4_ucmnUqMfts96u0ZQokouaV_X5vHNIGjlOtC-jAwCNbY4Qd8ChDn0VtZj1WIix93OvAO4-/s1600/kocka1.png" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEifsESgSCiFsmJ8WJ9sdQf1tZTxtpdiHEkqLg3UJ373OOcLuV86vUGKdJ_IGn3I7CtxlHV0L4_ucmnUqMfts96u0ZQokouaV_X5vHNIGjlOtC-jAwCNbY4Qd8ChDn0VtZj1WIix93OvAO4-/s1600/kocka1.png" height="200" width="191" /></a>A kocka 1974-es feltalálásáig maga Rubik Ernő (Budapest, 1944. július 13. - Kossuth-díjas magyar építész, játéktervező, feltaláló) sem sejtette,
hogy találmánya később számos nemzeti és nemzetközi verseny központi elemévé
válik. 1975-ben igényelte a kocka szabadalmazását, amit két évvel később meg is
kapott. Ebben az évben már Magyarországon is megjelentek a <span style="text-decoration: none;">Rubik-kockák</span>.</div>
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</div>
A kocka sikerét mi sem bizonyíthatja jobban, mint az, hogy
páratlan ötletessége és egyedi kivitelezése révén egy kihívó és közérthető
logikai játékként emberek millióit kerítette hatalmába. Rubik Ernő elmondása
szerint a kocka a sikerét “ellentmondásos” mivoltának köszönheti, hiszen
egyszerre található meg benne az egyszerűség és az összetettség, így kocka
révén egyszerre teremthetünk kapcsolatot a renddel és a káosszal.<div class="MsoNormal">
<br /></div>
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A <b>bűvös kocka</b> mechanikus, egyéni <span style="text-decoration: none;">logikai</span> <span style="text-decoration: none;">játék</span>. A <span style="text-decoration: none;">kocka</span> oldalai különféle <span style="text-decoration: none;">színűe</span>k
és elforgathatók a lap középpontja körül. A forgatás során a szomszédos oldalak
színe megváltozik. A rendszertelen forgatással az oldalak színösszeállítása
összekeverhető. Bizonyították, hogy elméletileg bármely keverés után legfeljebb
20 tekerésből kirakható, de az összetettsége miatt összesen 43 252 003 274 489
856 000-féle ( kb. 4,3·10<sup>19</sup>) eltérő állás hozható létre. A <span style="text-decoration: none;">játék</span>
célja, hogy egy előzetesen összekevert kockából forgatással visszaállítsuk az
eredeti, rendezett színösszeállítást, vagyis minden oldalon azonos színű
lapocskák legyenek.</div>
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Változatai</div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhjqG8zIa3stn0DMN4zd7WBxbJl2a21MIGto5YslzHhS7ONYv9I0DEBwWiFWGikbtnc4QJjdeKB3rIqGSkLQ-5pHSEOylrPWBvUSgHRI-YjpU_ThmzD4GOdvfPaj1Cwil47VXkqmR1GS2cN/s1600/kocka2.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhjqG8zIa3stn0DMN4zd7WBxbJl2a21MIGto5YslzHhS7ONYv9I0DEBwWiFWGikbtnc4QJjdeKB3rIqGSkLQ-5pHSEOylrPWBvUSgHRI-YjpU_ThmzD4GOdvfPaj1Cwil47VXkqmR1GS2cN/s1600/kocka2.PNG" height="100" width="400" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh3VkvBIcZQH-kLwtFEtPODFVz6CaiDj1HIHSxnSaMHJzCkfMEykdmFDNPJWfuUTPbf2FCVpvY5dOuFjrlwVNGtQ-3edvM-G30BNv7HlfbNcYycyKnIBZD2RSrEpcuV6OEcGWJpKOoQCAH6/s1600/kocka3.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh3VkvBIcZQH-kLwtFEtPODFVz6CaiDj1HIHSxnSaMHJzCkfMEykdmFDNPJWfuUTPbf2FCVpvY5dOuFjrlwVNGtQ-3edvM-G30BNv7HlfbNcYycyKnIBZD2RSrEpcuV6OEcGWJpKOoQCAH6/s1600/kocka3.PNG" height="103" width="400" /></a></div>
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Unknownnoreply@blogger.comtag:blogger.com,1999:blog-6485088295608066948.post-37328146528487700062013-12-09T17:59:00.000+01:002013-12-10T22:32:49.831+01:00Tudományok fesztiválja, Belgrád 2013.december 5.-8.<div dir="ltr" style="text-align: left;" trbidi="on">
<div class="separator" style="clear: both; text-align: center;">
</div>
<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="float: left; margin-right: 1em; text-align: left;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEijEcjF5mUanHqu3_bPI0hFg7svVrX3syR8DR8htIQMrfIasSeOmf77u8cXwcyFLj4HezxRiq2DwLeV6gpC42zp9zSIUfbConKkzFeficuJ24YEeJxe4mqm3Fly2rKLQ56TzCy98tYrtAVw/s1600/20131206_101126.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="150" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEijEcjF5mUanHqu3_bPI0hFg7svVrX3syR8DR8htIQMrfIasSeOmf77u8cXwcyFLj4HezxRiq2DwLeV6gpC42zp9zSIUfbConKkzFeficuJ24YEeJxe4mqm3Fly2rKLQ56TzCy98tYrtAVw/s200/20131206_101126.jpg" width="200" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Készítette: Ökrös Enikő 8/3 </td></tr>
</tbody></table>
<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjHtAua-3-yJDT7YZqKxLNpJ0ht4d950zIX6zCZdZ_RicNZlQeWHYFmtpoT6-jTjpHCDPYjgHUBfxsMThZ2LJPUx2yWQrdO8QL2VSPeHFRt069wDZYe2Aq6UEr4q51BejzeemG6DVVLUpnz/s1600/20131206_135427.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="150" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjHtAua-3-yJDT7YZqKxLNpJ0ht4d950zIX6zCZdZ_RicNZlQeWHYFmtpoT6-jTjpHCDPYjgHUBfxsMThZ2LJPUx2yWQrdO8QL2VSPeHFRt069wDZYe2Aq6UEr4q51BejzeemG6DVVLUpnz/s200/20131206_135427.jpg" width="200" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Készítette: Ökrös Enikő 8/3</td></tr>
</tbody></table>
<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="float: left; margin-right: 1em; text-align: left;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgw6CKaaMzmbIEWD8f_pjBDNCatr8FZOaOuBFE0ovqNJ7ENSSs5mAFWVzaA4OOVxR8kimyScrP1hwA2KhazxrEnYefxfdiycX4kB7L7g51ZHAZYajyahB0WiznDgBi6L-K8LTVhIl-XOjRe/s1600/20131206_104421.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="150" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgw6CKaaMzmbIEWD8f_pjBDNCatr8FZOaOuBFE0ovqNJ7ENSSs5mAFWVzaA4OOVxR8kimyScrP1hwA2KhazxrEnYefxfdiycX4kB7L7g51ZHAZYajyahB0WiznDgBi6L-K8LTVhIl-XOjRe/s200/20131206_104421.jpg" width="200" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Készítette: Ökrös Enikő 8/3</td></tr>
</tbody></table>
<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjXzCif0qkTzSg76nBgu4tj1lpDM7WsHpLvGpfhvWIm1yuMz2bhDxEeLJRet06DbRnAGHNk1j8cCbyVQhUAWrZHlIElcwZ1BPRRDtI6cSLCNVaphNnpUVZfunvOv7uFTUcUI55WyYBBo2SG/s1600/20131206_105458.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="150" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjXzCif0qkTzSg76nBgu4tj1lpDM7WsHpLvGpfhvWIm1yuMz2bhDxEeLJRet06DbRnAGHNk1j8cCbyVQhUAWrZHlIElcwZ1BPRRDtI6cSLCNVaphNnpUVZfunvOv7uFTUcUI55WyYBBo2SG/s200/20131206_105458.jpg" width="200" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Készítette: Ökrös Enikő 8/3</td></tr>
</tbody></table>
<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="float: left; margin-right: 1em; text-align: left;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi51yqPJWRZMzmJuwVD0Xpl81eF0pG7GGja0oXsx3NU1N1ZHkTlPhp1P7T8EoJ-K8OKrnuAb7oO54QEeD1gw371E5S5cKwtG1S12d4y71wAOqAl8v0Pau4FRuaeI0jGWVaR3imAZJYzJs-F/s1600/20131206_105207.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="150" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi51yqPJWRZMzmJuwVD0Xpl81eF0pG7GGja0oXsx3NU1N1ZHkTlPhp1P7T8EoJ-K8OKrnuAb7oO54QEeD1gw371E5S5cKwtG1S12d4y71wAOqAl8v0Pau4FRuaeI0jGWVaR3imAZJYzJs-F/s200/20131206_105207.jpg" width="200" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Készítette: Ökrös Enikő 8/3 </td></tr>
</tbody></table>
<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhFjwWnWzCg6xg0vRaU6jP1xP-Y204jyCuZy-lPWwQ4GB4wxmeH2oBCXFDwXPw9-f7uvYNlVRwp89YhcVn0i37yUk4mzxSb2Tc3pD3XQO3d5aWucZ1j2sTll056l8kEYd-7BVs26bB3GcGi/s1600/20131206_115555.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="150" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhFjwWnWzCg6xg0vRaU6jP1xP-Y204jyCuZy-lPWwQ4GB4wxmeH2oBCXFDwXPw9-f7uvYNlVRwp89YhcVn0i37yUk4mzxSb2Tc3pD3XQO3d5aWucZ1j2sTll056l8kEYd-7BVs26bB3GcGi/s200/20131206_115555.jpg" width="200" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Készítette: Ökrös Enikő 8/3 </td></tr>
</tbody></table>
<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="float: left; margin-right: 1em; text-align: left;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjdruaP60HrxGN9Z2cxKWV60WEw8Z6HB4tsrtncUlbWM5RxVCA6aSO1x79tsGipXPLgCnqe1cWe5EcStc_5FTk87glKVCEqfMxhCJmyWpd2S5Io4XyacUFouRtqBe32uNFztR92gGbT5JDa/s1600/20131206_125750.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="150" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjdruaP60HrxGN9Z2cxKWV60WEw8Z6HB4tsrtncUlbWM5RxVCA6aSO1x79tsGipXPLgCnqe1cWe5EcStc_5FTk87glKVCEqfMxhCJmyWpd2S5Io4XyacUFouRtqBe32uNFztR92gGbT5JDa/s200/20131206_125750.jpg" width="200" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Készítette: Ökrös Enikő 8/3 </td></tr>
</tbody></table>
<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiWYSH8rEZcE_mmm-967A9cklyp6-b2ayfnqh-hquXpyBL-5sNlpGvnozOkYQiEp_EQLIpkPHlirwio7cveFfvQg_YpA7g2Il_wwEp_7HK3fVBJSLXvH_xwNtIJbtBA3gTgyTociIOVhGNR/s1600/20131206_131123.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="150" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiWYSH8rEZcE_mmm-967A9cklyp6-b2ayfnqh-hquXpyBL-5sNlpGvnozOkYQiEp_EQLIpkPHlirwio7cveFfvQg_YpA7g2Il_wwEp_7HK3fVBJSLXvH_xwNtIJbtBA3gTgyTociIOVhGNR/s200/20131206_131123.jpg" width="200" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Készítette: Ökrös Enikő 8/3 </td></tr>
</tbody></table>
<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="float: left; margin-right: 1em; text-align: left;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgkgvZesuweyWbYm7h-rxMl53TZBLPnfuudyIpNrBbIltmpp-0hy6v2M5FpMUfXoLN6l0jjob1gY5BcMRrpD4r1a9S8O-NJaklLMfvR9ZV1sKik3GFQF4qkNetAnGgDahsdXFX8doF2fy5Y/s1600/2013-12-06+10.48.58.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="150" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgkgvZesuweyWbYm7h-rxMl53TZBLPnfuudyIpNrBbIltmpp-0hy6v2M5FpMUfXoLN6l0jjob1gY5BcMRrpD4r1a9S8O-NJaklLMfvR9ZV1sKik3GFQF4qkNetAnGgDahsdXFX8doF2fy5Y/s200/2013-12-06+10.48.58.jpg" width="200" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Készítette: Kovács Sz. Dávid 6/4</td></tr>
</tbody></table>
<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjOGivJZsV4N4DSE3WF8JlhAi3HTw7SnW2aIu1-GeaqS9KscKp13Xq6l4fYZZHp5j95m-WdFxFAP9IAdgypsKLbJLkdUwWfFSC9dpq9Ac_TuhIElPQrLvC1WyfBABUf-5SiOUClSGzdCSTo/s1600/2013-12-06+14.34.46.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="171" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjOGivJZsV4N4DSE3WF8JlhAi3HTw7SnW2aIu1-GeaqS9KscKp13Xq6l4fYZZHp5j95m-WdFxFAP9IAdgypsKLbJLkdUwWfFSC9dpq9Ac_TuhIElPQrLvC1WyfBABUf-5SiOUClSGzdCSTo/s200/2013-12-06+14.34.46.jpg" width="200" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Készítette: Kovács Sz. Dávid 6/4</td></tr>
</tbody></table>
<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="float: left; margin-right: 1em; text-align: left;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjKrfs0YzurfrByySsNijMvHg8XYETXkkeg7JHbIchCtnZqZuQgroH6mnyhVbIgAROvYQ5pTVxQBTdpLbUbRa-2a8kppH9ZBeIYVSdyFZIyOlrOSQAZKIy-5TTqTA7d_Rs4tumzefrfukok/s1600/2013-12-06+14.37.34.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="150" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjKrfs0YzurfrByySsNijMvHg8XYETXkkeg7JHbIchCtnZqZuQgroH6mnyhVbIgAROvYQ5pTVxQBTdpLbUbRa-2a8kppH9ZBeIYVSdyFZIyOlrOSQAZKIy-5TTqTA7d_Rs4tumzefrfukok/s200/2013-12-06+14.37.34.jpg" width="200" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Készítette: Kovács Sz. Dávid 6/4</td></tr>
</tbody></table>
<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj4f5ElkWXb4uuM5KCA-gUCMAMM4YPurBwYB3JhFb041BUQ_zg4miBZYM-mP5Mi6fvD_gl-7Zhy4Zk05b7U0slrVzrKqyI4gERH9dkUrxWGD2p6YaVAjRzwEu_7ojrs80Ttgb4aQGyVfVsQ/s1600/2013-12-06+13.14.34.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="150" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj4f5ElkWXb4uuM5KCA-gUCMAMM4YPurBwYB3JhFb041BUQ_zg4miBZYM-mP5Mi6fvD_gl-7Zhy4Zk05b7U0slrVzrKqyI4gERH9dkUrxWGD2p6YaVAjRzwEu_7ojrs80Ttgb4aQGyVfVsQ/s200/2013-12-06+13.14.34.jpg" width="200" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Készítette: Kovács Sz. Dávid 6/4</td></tr>
</tbody></table>
<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="float: left; margin-right: 1em; text-align: left;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiwRoR5n7orNmAfPJF8y7S24a6fWe6s6dLUdrQxYmXm1w1Qkj1CbZTsLVSEVOmTdZIFeKnePTeQR0kn0Cka92uohEcWzUkSrSlvp9TMCWjYJqdOJp8bN5Btmodzhky_yS1F_EO8w0xvN_O6/s1600/DSC_0905.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="150" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiwRoR5n7orNmAfPJF8y7S24a6fWe6s6dLUdrQxYmXm1w1Qkj1CbZTsLVSEVOmTdZIFeKnePTeQR0kn0Cka92uohEcWzUkSrSlvp9TMCWjYJqdOJp8bN5Btmodzhky_yS1F_EO8w0xvN_O6/s200/DSC_0905.jpg" width="200" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Készítette: Aladics Máté 6/4</td></tr>
</tbody></table>
<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgKF7l2kHUV7nb397i1SgPBjhYZwBCfHn_obnDzf_6bgcwjdIIxSirb_j1In7b6PDXZga7AMaLdhpptLchpWmI4plNIhBXAhjUn-zvp9vkZ0oDuarzz03T2fLeNB9SXInVcWtxCwI-ypcm2/s1600/DSC_0919.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="150" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgKF7l2kHUV7nb397i1SgPBjhYZwBCfHn_obnDzf_6bgcwjdIIxSirb_j1In7b6PDXZga7AMaLdhpptLchpWmI4plNIhBXAhjUn-zvp9vkZ0oDuarzz03T2fLeNB9SXInVcWtxCwI-ypcm2/s200/DSC_0919.jpg" width="200" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Készítette: Aladics Máté 6/4</td></tr>
</tbody></table>
<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="float: left; margin-right: 1em; text-align: left;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjiZ9LF1Q66RCrOk3tG_3EQ6tYoQN4C4BYFJcsGy5sToa2XNmF_oOP9Ap5NsPGOFX37sjicA-QtRGvhhcIaBYaytn4IQeLOQP0TwHEqYTf54a_8AsRO0_AJgu0NViJjDn-cVf6eLcSnvK4g/s1600/DSC_0931.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="150" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjiZ9LF1Q66RCrOk3tG_3EQ6tYoQN4C4BYFJcsGy5sToa2XNmF_oOP9Ap5NsPGOFX37sjicA-QtRGvhhcIaBYaytn4IQeLOQP0TwHEqYTf54a_8AsRO0_AJgu0NViJjDn-cVf6eLcSnvK4g/s200/DSC_0931.jpg" width="200" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Készítette: Aladics Máté 6/4</td></tr>
</tbody></table>
<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgHN-3Pgp-7hW3MWJprMYXaK5CR-VKRljQmPk4Obo4T0puCwLnDlsUyqoY3VQJtnp33PcqDGmCGULL6dqPYxrvCIRsnWDkH8CAo7i_Dyd8Sf_P-wi_Zx5vfM_HFGhm3m4vM7V2WsmltXvz5/s1600/DSC_0938.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="150" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgHN-3Pgp-7hW3MWJprMYXaK5CR-VKRljQmPk4Obo4T0puCwLnDlsUyqoY3VQJtnp33PcqDGmCGULL6dqPYxrvCIRsnWDkH8CAo7i_Dyd8Sf_P-wi_Zx5vfM_HFGhm3m4vM7V2WsmltXvz5/s200/DSC_0938.jpg" width="200" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Készítette: Aladics Máté 6/4</td></tr>
</tbody></table>
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<div class="separator" style="clear: both; text-align: center;">
<br /></div>
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<div class="separator" style="clear: both; text-align: center;">
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Unknownnoreply@blogger.comtag:blogger.com,1999:blog-6485088295608066948.post-47279403237218877282013-12-04T17:18:00.002+01:002013-12-04T17:25:15.243+01:00XI. Fekete Mihály Emlékverseny, Zenta<div dir="ltr" style="text-align: left;" trbidi="on">
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<![endif]--><i style="mso-bidi-font-style: normal;"><span style="font-size: 11.0pt;">Az elmúlt hétvégén, 2013. november 30-án rendezték meg Zentán a Bolyai Tehetséggondozó Gimnáziumban a XI. Fekete Mihály Emlékversenyt. Iskolánkat Koszorús Mónika VIII/4 osztályos tanuló képviselte, aki teljesítményéért dicséretben részesült. </span></i><br />
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<i style="mso-bidi-font-style: normal;"><span style="font-size: 11.0pt;">A verseny rövid bemutatója: </span></i></div>
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<i style="mso-bidi-font-style: normal;"><span style="font-size: 11.0pt;">A Fekete Mihály Emlékversenyt 2003 óta
rendezik meg. Kezdetben az Észak-bácskai Magyar Pedagógusok Egyesületének
égisze alatt szervezte Szabó Magda matematikatanár. A verseny időközben
átköltözött Szabadkáról Zentára, az újonnan megalakuló Bolyai Tehetséggondozó
Gimnázium helyiségeibe. Ekkor lett a Gimnázium a hivatalos szervezőjévé a
Bolyai Farkas Alapítvány közreműködésével. A versenybizottság elnöke minden
évben dr. Péics Hajnalka volt, a versenybizottság tagjai pedig 2005 óta a
Bolyai Tehetséggondozó Gimnázium és Kollégium matematikatanárai.</span></i></div>
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<i style="mso-bidi-font-style: normal;"><span style="font-size: 11.0pt;">Kezdetben a verseny csak a középiskolás
diákokat szólította meg, de 2009-től a nyolcadikosokat, 2011-től pedig a
hetedikeseket is bevontuk a versenybe. 2012-ben került megrendezésre a
jubiláris X. Fekete Mihály Emlékverseny.</span></i></div>
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<i style="mso-bidi-font-style: normal;"><span style="font-size: 11.0pt;">A verseny névadója: <b style="mso-bidi-font-weight: normal;">Fekete Mihály</b> (1886-1957)</span></i></div>
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<i><span style="font-size: 11.0pt;">Fekete
Mihály</span></i><i style="mso-bidi-font-style: normal;"><span style="font-size: 11.0pt;"> (Schwarz) 1886. július 19-én született Zentán. Elemi és középiskolai
tanulmányainak befejezése után a budapesti és a göttingeni egyetemeken tanult
matematikát. Az egyetem elvégzése után tanársegédként tanított Budapesten, de a
Tanácsköztársaság alatti magatartása miatt állásától megfosztották, sőt még a
Matematikai és Fizikai Társulat is törölte tagjai sorából. Ezután középiskolai
tanárként működött. Több középiskolában is tanított matematikát egészen
1928-ig, amikor két egyetemtől is kapott professzori meghívást. Ő a Jeruzsálemi
Egyetem matematika tanszékének meghívását fogadta el, amelynek később dékánja
is volt. <span style="mso-bidi-font-style: italic;">Fekete Mihály</span> a
Jeruzsálemi Egyetem tanára volt elhunytáig, 1957-ig.</span></i></div>
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<i><span style="font-size: 11.0pt;">Fekete
Mihály</span></i><i style="mso-bidi-font-style: normal;"><span style="font-size: 11.0pt;"> egyike volt <span style="mso-bidi-font-style: italic;">Fejér Lipót</span>
azon tanítványainak, akik matematikai munkásságukkal nagy elismerést szereztek
maguknak. <a href="http://www.kfki.hu/physics/historia/historia/egyen.php?namenev=neumann&nev5=Neumann+J%E1nos"><span style="color: windowtext; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman"; mso-hansi-font-family: "Times New Roman"; text-decoration: none; text-underline: none;">Neumann János</span></a> házitanítója volt matematikából.
Neumann első publikációja egy Feketével közös, transzfinit átmérőről szóló cikk
lett 1922-ben. Több dolgozatából kitűnik, hogy tanárától, <span style="mso-bidi-font-style: italic;">Fejér Lipóttól</span> kapott indítékot
egy-egy probléma vizsgálatához. <span style="mso-bidi-font-style: italic;">Fekete
Mihály</span> legjelentősebb és egyben legismertebb eredményei a ponthalmazok
elmélete, az algebra és a komplex függvénytan határterületéhez tartoznak. <span style="font-size: xx-small;">(Forrás: Bolyai Tehetséggondozó Gimnázium és Kollégium honlapja)</span></span></i></div>
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Unknownnoreply@blogger.comtag:blogger.com,1999:blog-6485088295608066948.post-46825576585973632422013-11-07T23:42:00.001+01:002013-11-07T23:42:19.958+01:00Sakkmatek<div dir="ltr" style="text-align: left;" trbidi="on">
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A sakk egy olyan táblajáték, amelyet hagyományosan két játékos játssza egy négyzet alakú táblán. A sakktáblán 64 mező található, ebből 32 világos 32 pedig sötét színű. A mezők felváltva világos-sötét párban követik egymást. A két játékos által vezetett figurák színe szintén világos és sötét színű.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhHG90l_PoYUkRZznxwmtdZkw-MdY6Z5RKuPshvUBPoqR5h4_GV0zmfyFE6BGDc7qldOyNtlDg8kBZAOKRRVfewY4mVqNnXDXJn8FgFldeHiujlurKCfDo7EVEjFaPIP9H8D7qJ02hAqHVj/s1600/sakk_tabla.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="200" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhHG90l_PoYUkRZznxwmtdZkw-MdY6Z5RKuPshvUBPoqR5h4_GV0zmfyFE6BGDc7qldOyNtlDg8kBZAOKRRVfewY4mVqNnXDXJn8FgFldeHiujlurKCfDo7EVEjFaPIP9H8D7qJ02hAqHVj/s200/sakk_tabla.jpg" width="200" /></a></div>
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A játék célja, hogy a szabályokat betartva az egyik fél mattot adjon a másik fél királyának és ezzel megnyerje megnyerje a mérkőzést. Mindkét fél játékosának 16-16 bábú áll rendelkezésére. Hat egymástól különböző figurát különböztetünk meg - király, vezér, futó, huszár és gyalog - melyek mint formájukban, mint pedig menetmódjukban különböznek egymástól. </div>
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<div style="text-align: left;">
1256-ban az arab Ibn Kallikan foglalkozott először matematikai
megközelítésben a témával. Tőle származik a híres búzaszemes feladvány. </div>
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<![endif]--><i>A sakktábla első mezőjére leteszünk egy szem búzát, majd minden következő
mezőre kétszer annyit, mint az előzőre. Hány szem búzára van szükségünk
összesen?</i>
<br />
<div style="text-align: justify;">
A mértani sorozat összegképlete segítségével (de anélkül is) könnyen
végiggondolható, hogy a keresett szám elképesztően nagy: 2<sup>64</sup>-1. Az
emberiség a kezdetektől fogva összesen nem termelt meg ennyi búzaszemet.</div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
Érdemes még megemlíteni Franz Nauck problémáját is: <i>Hányféleképpen lehet 8 királynőt úgy elhelyezni egy sakktáblán, hogy semelyik kettő ne üsse egymást?</i></div>
<div style="text-align: justify;">
<i> </i> </div>
<div style="text-align: justify;">
Íme néhány elhelyezés:</div>
<div style="text-align: justify;">
<br /></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiDskHNvlaAMSI_rSNzun-AOF3qP7GrgUsRl7uDLJPFY19ucVvjiIO9wokWl9g_xtXX5Bhvr9HSltdkRiveJIC6pebYCZlzKG0EGCQEhrrLc0yMQtgmvZwaYcJwtPMYNExdb2qVbCkSaoB7/s1600/8+kiralyno.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="140" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiDskHNvlaAMSI_rSNzun-AOF3qP7GrgUsRl7uDLJPFY19ucVvjiIO9wokWl9g_xtXX5Bhvr9HSltdkRiveJIC6pebYCZlzKG0EGCQEhrrLc0yMQtgmvZwaYcJwtPMYNExdb2qVbCkSaoB7/s400/8+kiralyno.PNG" width="400" /></a></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<u>Néhány matematikai feladat a sakktáblával kapcsolatban:</u></div>
<br />
1. A következő két síkidom 64-64 kis négyzetből áll. Ezekből kell egy-egy sakktáblát összerakni úgy, hogy mindkettőt egyetlen vágással vágjátok két darabra. A vágásnak rácsvonal mentén kell haladnia, elkanyarodhat, de önmagába nem érhet vissza.
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjrNFdsotnu2_eIsy_Hz9Rqvjp7R9vuKmFsUa4iCSGsIRjeZ5YCl3CPVCF-D7KZwBnxEoX5Vraq0saVYcUdhoSxHDXh9YqwTcWYizilivaoxOsKYpZnV9DXUrqgVCoIgwIdHIV_khYwuFea/s1600/K%C3%A9pkiv%C3%A1g%C3%A1s.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="208" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjrNFdsotnu2_eIsy_Hz9Rqvjp7R9vuKmFsUa4iCSGsIRjeZ5YCl3CPVCF-D7KZwBnxEoX5Vraq0saVYcUdhoSxHDXh9YqwTcWYizilivaoxOsKYpZnV9DXUrqgVCoIgwIdHIV_khYwuFea/s320/K%C3%A9pkiv%C3%A1g%C3%A1s.PNG" width="320" /></a></div>
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<![endif]--> 2. Lefedhető-e egy sakktábla 2x1-es dominókkal?<br />
3. A sakktáblának levágjuk két átellenes sarkában lévő mezőit. Lefedhető-e ezután ez a csonka tábla 2x1-es dominókkal?<br />
4. Hány téglalap van a sakktáblán?<br />
5. Hol a hiba?<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiN3DpTN6tz-jklo84GQb35LoQ269j0ozP9dkXEW8nOVqP78txReZvOEKFIysAyzvdM5cFI4Hco0Ym2_erI2icaY-37xLu-_YqVUIRowcmvx_ZYul4BIy43BxDCkM_eWWkNGjxRTFZVhyphenhyphenwC/s1600/hol+a+hiba.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="176" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiN3DpTN6tz-jklo84GQb35LoQ269j0ozP9dkXEW8nOVqP78txReZvOEKFIysAyzvdM5cFI4Hco0Ym2_erI2icaY-37xLu-_YqVUIRowcmvx_ZYul4BIy43BxDCkM_eWWkNGjxRTFZVhyphenhyphenwC/s400/hol+a+hiba.PNG" width="400" /></a></div>
6. Járjuk be a sakktáblát a bástyával és a királlyal úgy, hogy a tábla bal alsó sarkából indulunk, minden mezőt egyszer érintünk, és a kezdőpontba érkezünk vissza. Keressetek minél érdekesebb megoldásokat! A bábuk csak szabályosan léphetnek!<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjplXgYn9WitMODa_FG5Mc5JKonaAiBtM6cj4Oixt1-QYgCXaVHks_kfbb6qy55c3QQO8-oSCiVaHitEzBfW9y1UP_8B_l1F7wiYb3Gk5LfSDXiBttYyCG9e2XcwIT5bzzymbaRXaI0a0EV/s1600/b%C3%A1stya.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="150" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjplXgYn9WitMODa_FG5Mc5JKonaAiBtM6cj4Oixt1-QYgCXaVHks_kfbb6qy55c3QQO8-oSCiVaHitEzBfW9y1UP_8B_l1F7wiYb3Gk5LfSDXiBttYyCG9e2XcwIT5bzzymbaRXaI0a0EV/s320/b%C3%A1stya.PNG" width="320" /></a></div>
<div style="text-align: right;">
Jó szórakozást és ismerkedést a sakktáblával!</div>
<div style="text-align: right;">
<br /></div>
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</div>
Unknownnoreply@blogger.comtag:blogger.com,1999:blog-6485088295608066948.post-34246789462851625452013-10-07T16:29:00.001+02:002013-10-07T17:30:10.148+02:00Bűvös síkidomok<div dir="ltr" style="text-align: left;" trbidi="on">
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<div style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em; text-align: left;">
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<h3 style="text-align: left;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiK6VviqB7s2A-AzPVGbuNw_reUQfGomVr5gGwu7BFO0s6-Hu_dgkN_NSIIBynvkwEq_IDyL4x7QLFyen6SYYGycO92LZo8PpTvbkr8UiIJi9P44NeKehK5aa6lA79W048tlIpdaVCH9HSb/s1600/buvos+n%25C3%25A9gyzet.jpg" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" height="149" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiK6VviqB7s2A-AzPVGbuNw_reUQfGomVr5gGwu7BFO0s6-Hu_dgkN_NSIIBynvkwEq_IDyL4x7QLFyen6SYYGycO92LZo8PpTvbkr8UiIJi9P44NeKehK5aa6lA79W048tlIpdaVCH9HSb/s200/buvos+n%25C3%25A9gyzet.jpg" width="200" /></a><a href="http://maszak.blogspot.com/2013/04/buvos-negyzetek.html">Bűvös négyzetek</a></h3>
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Róluk már egy előző bejegyzésben említést tettem. <br />
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<h3 style="text-align: left;">
Bűvös szalag</h3>
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<div style="text-align: left;">
A bűvös négyzetekkel kapcsolatos érdekes feladatok vetették fel a kérdést, hogy más idomokkal lehet-e hasonló játékokat készíteni. Ilyen például a következő ábrán látható "szalag". A téglalap 16 kis háromszögből áll. </div>
<div style="text-align: left;">
Úgy kell beírni a kis háromszögekbe az 1 és a 16 közötti természetes számokat, hogy az ábráról leolvasható nagy háromszögekben a számok összege ugyanannyi legyen. Ilyen nagy háromszög az ACF, BDG, CEH, CFH, DGI, EHJ háromszög. Mindegyikben négy-négy szám van. A négy szám összege mind a hat nagy háromszögben 34.</div>
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Bűvös háromszögek</h3>
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" 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" 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Írjuk a 4, 5, 6, 7, 8, 9 számokat párosával a háromszög oldalaira úgy, hogy a csúcsokat is beleszámítva a számok összege mindhárom oldalon összesen 17 legyen! A csúcsokban az 1, 2, 3 szám rögzített. </div>
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Ha nem kötjük ki, hogy a három legkisebb szám kerüljön a csúcsokra, sok más megoldás is van. Helyezzétek el például a 9 számot úgy, hogy minden oldalon 20 legyen az összeg! </div>
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Mennyi lesz az összeg, ha a három legnagyobb szám: 7, 8 és 9 kerül a csúcsokra?</div>
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Bűvös kerületek </h3>
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Az ábrán 10 kis kört találtok. Úgy kell beírni 1-től 10-ig a természetes számokat, hogy mind a három kis háromszög kerületén a hat szám összege pontosan 28 legyen! (Természetesen a nagy háromszög kerületén levő számok összege persze nem ennyi lesz!)</div>
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" 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El lehet a tíz számot úgy is helyezni, hogy a kis háromszögek kerületén a számok összege nem 28 lesz, hanem 29, 30, 31, 32, 33, 34, 35, 36, 37 vagy 38. Próbálkozzatok!</div>
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Unknownnoreply@blogger.comtag:blogger.com,1999:blog-6485088295608066948.post-38720854146714146982013-09-24T09:20:00.000+02:002013-09-27T16:48:25.136+02:00Tehetségnappal egybekötött tanévnyitó a Cofman Iskolában<div dir="ltr" style="text-align: left;" trbidi="on">
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<span style="font-family: verdana,geneva; font-size: 12px;">A Cofman Iskola a 18. évfolyamát
<a href="http://www.tanar.org.rs/?p=349">Tehetségnappal</a> kezdte, 2013 szeptember 21-én. A Tehetségnap helyszíne az Ivan Sarić Műszaki Középiskola volt. A tanévnyitón néhány palicsi tanuló is részt vett. </span><br />
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Unknownnoreply@blogger.comtag:blogger.com,1999:blog-6485088295608066948.post-91782256682167243612013-07-17T17:41:00.001+02:002013-07-17T17:41:07.916+02:00Szőkefalvi-Nagy Béla<div dir="ltr" style="text-align: left;" trbidi="on">
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Száz éve született<b> <a href="http://cs.bme.hu/~bolyai/szoke.htm">Szőkefalvi-Nagy Béla</a><span style="color: black;"></span></b><span style="color: black;"><a href="http://cs.bme.hu/~bolyai/szoke.htm"> </a></span>(Kolozsvár, 1913. július 29. – Szeged, 1998. december 21.) Kossuth-díjas matematikus, egyetemi tanár, az MTA tagja, Szőkefalvi-Nagy Gyula fia. A matematikai analízis világhírű művelője, a 20. századi magyar matematika egyik legnagyobb alakja volt.<br />
Apja, Szőkefalvi-Nagy Gyula
is kiváló matematikus volt. A fiú apja nyomdokain haladt tovább, ő is
matematika-fizika szakra iratkozott be a Kolozsvárról Szegedre
telepített Ferenc József Tudományegyetemre.
1936-ban szerezte meg matematika-fizika szakos középiskolai tanári
oklevelét. Kitüntetéssel doktorált
1937-ben. <br />
Világhíres matematikus volt, könyveit, tanulmányait
számos nyelvre lefordították.<br />
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Széles nemzetközi szakmai kapcsolatokat
ápolt, 1958-ban a Drezdai Műegyetemre látogatott, 1964-ben egy fél évet a
Columbia Egyetemen töltött New Yorkban, többször meghívták az Indiana Egyetemre, Bloomington, USA. Járt a Szovjetunióban, Finnországban, több nyugat-európai országban.<br />
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Nagyon fontos volt számára a családja. Hat gyermeket nevelt fel. Egyszer egy interjúban a riporter kérdésére, hogy hogyan kell gyerekeket nevelni, azt válaszolta: ,,A példánkkal.'' Gyermekei saját szakmájuk kimagasló egyéniségei lettek. <br />
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Unknownnoreply@blogger.comtag:blogger.com,1999:blog-6485088295608066948.post-38634821708580083342013-07-11T14:20:00.000+02:002013-07-11T16:47:44.648+02:00150 éve született Arany Dániel<div dir="ltr" style="text-align: left;" trbidi="on">
<b>Arany Dániel</b> (Pest, 1863. július 11. – Budapest, 1945. január) neves matematika-fizika szakos középiskolai tanár.<br />
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Tanári oklevelet a
budapesti tudományegyetemen szerzett. 1893. december 1-jén megalapította a Középiskolai Matematikai Lapokat. Célját így fogalmazta meg: "tartalomban
gazdag példatárat adni tanárok és tanulók kezébe." A lap első példánya
1894. január 1-én jelent meg. Az első világháború idején a lap kiadása szünetelt. Azóta matematikusok és más tudósok több generációja csiszolta
problémamegoldó képességét a KöMaL révén.
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Tudományos munkásságában a valószínűség-számítási kérdések és a játékelméleti problémák témája foglalkoztatta. 1951-től az ő nevét viseli Magyarországon a gimnáziumi
I. és II. osztályosok matematika versenye. Az <a href="http://www.eszesen2010.hu/index.php?option=com_content&view=article&id=25&Itemid=129">Arany Dániel Matematika Verseny</a> lényegében a Kalmár Verseny folytatása, a
9-10. évfolyam legfontosabb és legnagyobb tömegeket megmozgató
megmérettetése, amelyet évente szervez meg a Bolyai János Matematikai
Társulat. Döntőjét sokan az Országos Középiskolai Matematika Verseny
előszobájának tekintik, az első helyekről pedig többen a nemzetközi
diákolimpiára is kijutottak.<br />
1944-ben származása miatt feleségével a gettóba kellett költöznie; itt is vesztették életüket az ostrom idején.<br />
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Unknownnoreply@blogger.comtag:blogger.com,1999:blog-6485088295608066948.post-74018507133057985412013-07-10T22:13:00.000+02:002013-07-10T22:13:33.585+02:00Optikai csalódások<div dir="ltr" style="text-align: left;" trbidi="on">
Egy <b>optikai csalódás</b>t vizuálisan észlelt képek jellemeznek, melyek eltérnek az objektív valóságtól. A szem által felvett információt
az agy alakítja át. Azt hogy valójában mit is látunk, nagy szerepe van
a tapasztalatoknak, az emlékeknek. Az agy képes arra, hogy hiányos képekből
érthető információt formáljon. Ebből adódóan be is lehet csapni.<br />
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<h3 style="text-align: left;">
Mozog vagy sem? </h3>
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Olyasmit láthatsz ami nincs is ott! </h3>
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Párhuzamosak-e a következő egyenesek?</h3>
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Unknownnoreply@blogger.comtag:blogger.com,1999:blog-6485088295608066948.post-31310444201192276082013-07-09T22:42:00.000+02:002013-07-10T19:36:44.016+02:00Száz éve született Erdős Pál<div dir="ltr" style="text-align: left;" trbidi="on">
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Száz éve, 1913. március 26-án született Budapesten Erdős Pál,
matematikus, a múlt század egyik ragyogó elméje, aki azt vallotta:
„minden, ami emberi, akár jó, akár rossz, előbb-utóbb véget ér, kivéve a
matematikát”. Szülei, Anna és
Lajos, mindketten matematikatanárok voltak. Két nővérét még Pál születése előtt ragadta el az akkoriban halálosnak
számító skarlát. Legkisebb fiukat szülei még a széltől is óvták - sokáig
iskolába sem engedték, inkább otthon vezették be a matematika rejtelmeibe.<br />
<br />
A két világháború között - Horthy Miklós hatalomra jutásával -
Magyarországon is elkezdődött a huszadik század történelmének
legembertelenebb időszaka. Életbe léptek az ún. zsidótörvények. <br />
Zsidóként csaknem lehetetlen volt bejutni az egyetemre - Erdős rendkívüli
képességeinek köszönhette, hogy neki mégis sikerült. Négy évig a Pázmány
Péter Egyetemen volt hallgató, a végén le is doktorált. Ekkorra azonban már
oly mértékűvé vált a zsidógyűlölet, hogy családját
hátrahagyva manchesteri ösztöndíjjal Angliában folytatta tanulmányait. Később
kiderült, hogy ez a lépés valószínűleg az életét
mentette meg.<br />
Manchester után, a politikai helyzet miatt Amerikát választotta. A világhírű princetoni egyetemen lett ösztöndíjas. Különböző egyetemekre, matematikai társaságokba járt,
folyamatosan bővítve ismeretségi körét. Erdős Pál 16 évig élt az Egyesült Államokban. <br />
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Erdős hatalmas tehetséggel és tudással, gyors gondolkodással megáldott
tudós, mindemellett igazi egyéniség volt. Életművének nagy részét más matematikusokkal (511)
közösen írt cikkek, tanulmányok, könyvek alkotják. Ezt bizonyítandó játékos kedvű matematikusok kidolgozták
az ún. Erdős-index rendszert, amely a következőképpen épül fel: 0 az Erdős-indexe
Erdős Pálnak, 1 mindazoknak, akik vele együtt publikáltak, 2 akik már
publikáltak 1-es indexűvel, és így tovább. Az idő haladtával a legnagyobb ismert Erdős-szám 8-ról (2000) 15-re (2013) nőtt. Az Erdős-szám egy játék, de jól tükrözi azt, hogy a matematika társas
tevékenység, mely összehozza az embereket, és ad nekik valamit, amit
megint csak tovább lehet adni.<br />
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Szinte minden témakörben (kombinatorika, valószínűségszámítás,
gráfelmélet, analízis, topológia) otthonosan mozgott, kedvence talán mégis
a számelmélet volt.<br />
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Első cikkében, amelyet 18 évesen publikált, a Bertrand-sejtés elemi
bizonyítását találta meg. Bertrand 1845-ben jelentette ki, hogy minden kettőnél
nagyobb egész szám és a kétszerese között található legalább egy prímszám. <br />
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Az elmúlásról Erdősnek - mint minden másról - sajátos szemlélete
volt: "<i>Anyám egyszer azt mondta: 'Még te is, Pál, egyszerre csak
egy helyen lehetsz.' Talán, ha egyszer elköltözöm ebből a világból,
képes leszek egy időben több helyen lenni. Talán majd együtt dolgozhatok
Arkhimédésszel és Eukleidésszel.</i>"<br />
Erdős Pál nem csak matematikai felfedezéseivel, de lebilincselő,
ösztönző egyéniségével is jelentősen előmozdította a matematika
fejlődését. Híres volt sajátos, ironikus beszédmódjáról is, amelyben
például a „meghalt” azt jelentette, hogy abbahagyta a matematikai
kutatást, a „lényegtelen lény” kifejezéssel pedig a matematikával nem
foglalkozó embert illette. <br />
Erdős 83 éves korában, 1996. szeptember 20-án halt meg szívrohamban egy varsói konferencián.<br />
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A nulla bizonyos szempontból jelentős szám volt Erdős életében. Vándorló
hajlamának megfelelően nem házasodott meg, nem volt gyereke, soha nem
vásárolt lakást, és soha nem volt rendszeres munkája, sem sok pénze.
Ehelyett utazott, vagyona két bőröndben elfért, és azoknál a kollégáknál
szállt meg, akikkel éppen együtt dolgozott. Ezzel az életmóddal
beutazta az Egyesült Államokat és Európát. <br />
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<div style="text-align: left;">
<b><span class="mw-headline" id="Id.C3.A9zetek_t.C5.91le">Idézetek tőle</span></b></div>
<ul>
<li>Az égben Isten vezet egy Nagy Könyvet, amelyben minden matematikai probléma elegáns megoldása megtalálható. </li>
<li>A matematikus egy gép csupán, amely az elfogyasztott kávémennyiséget elméletekké alakítja. </li>
<li>Rossz az öregség, ha butasággal párosul. </li>
</ul>
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Unknownnoreply@blogger.comtag:blogger.com,1999:blog-6485088295608066948.post-21997204661579504072013-07-08T13:50:00.000+02:002014-02-15T18:56:15.568+01:00Minden a nulláról<div dir="ltr" style="text-align: left;" trbidi="on">
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<h4 style="text-align: left;">
<b>Mit okozhat a nulla a matematikában?</b></h4>
1. ha szorzunk vele? <br />
2. ha osztunk vele? <br />
3. ha kivonunk nullát? <br />
4. ha nullát adunk egy számhoz? <br />
5. ha a nulladik hatványra emelünk egy számot?<br />
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A <b>nulla</b> (<b>0</b>, <b>zéró</b>) a matematikában szám és számjegy is egyben. Az egyetlen olyan szám, ami nem írható le római számokkal. A nullát csak az utóbbi néhány évtized iskolai gyakorlata tekinti természetes számnak Magyarországon, <b> </b>megegyezés kérdése, hogy a természetes számok közé soroljuk-e vagy sem. Szerbiában a nulla az egész számok halmazába tartozik, nem természetes szám. Algebrai szempontból a nulla az összeadásra nézve neutrális elem (ha egy összeadásban tagként szerepel, annak eredményén nem változtat), a szorzásra nézve zéruselem (ha egy szorzásban tényezőként szerepel, annak eredménye önmaga). Az utóbbi következménye, hogy a nullával való osztás nem értelmes művelet. A nullánál nagyobb számokat pozitív, a nullánál kisebbeket negatív
számoknak nevezzük. Így a nulla az egyetlen szám, ami se nem negatív,
se nem pozitív, illetve a nulla a legkisebb nemnegatív egész.<br />
A nullának minden egész szám osztója.<br />
A koordinátageometriában rendszerint az origóval azonosítják. <br />
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<b>Történelmi áttekintés </b></h3>
Legrégebben Mezopotámiában használták az üres helyérték jelzésére. Megjelenése az i.e. 600 és az i.sz. 300 évek között történt.<br />
A hinduknál a 346. év előtti szövegekben már megtalálható a "szunja" szó, amely zérust jelent. A Bakshali kéziratban (III-XII. sz.) a nulla jelölésére vesszőt használtak. A nulla számjegy első bizonyított tízes számrendszerbeli használata a IX. századból származik. A jele egy pont volt, ezért <i>bindu</i>-nak, azaz pontnak hívták. A kezdeti időszakokban a nullát különböző kultúrákban más és más
szimbólummal ábrázolták. A babilóniaiak két ferde ékjellel (A), a maják
szem formájú karakterrel (B), a hinduk ponttal (C), míg a kínaiak már a
körformával (D) jelölték ezt a „bűvös számot”.<br />
<br />
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A mai 0 jel megjelent a görög csillagászoknál (Ptolemaiosz) mint a "semmi"-t jelentő szó kezdőbetűje. Kínában a számolótábla üres helyét jelölték vele. Ma már nehéz megmondani, hogy a hinduk a görögöktől vagy a kínaiaktól, esetleg mindkettőjüktől vették át a 0 jelet.<br />
A Gergely-naptárban nincsen 0. év. Maja számrendszerben
is szerepel a nulla, szimbóluma egy kagyló. A maja naptár a 0. nappal
kezdődik, ami a Gergely-naptár szerint visszaszámolva i.e. 3114.
augusztus 11-én volt.<br />
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<h4 style="text-align: left;">
<b>A szó eredete</b></h4>
A nulla szó a latin nullus melléknév meghonosodott alakja. Jelentése: egy sem, semmi, senki. Az elnevezés őrzi a régi filozófusok véleményét, amely szerint a zérus a semmit jelenti. <br />
A zéró kifejezés <a class="mw-redirect" href="http://hu.wikipedia.org/wiki/Leonardo_Fibonacci" title="Leonardo Fibonacci">Leonardo Fibonaccitól</a> származik, aki az arab zifr szót vette át (jelentése: nulla, üresség, semmi). Ezt olaszosan <i>zefiro</i>-nak írta, ez rövidült le „zéró”-vá. A <i>zefiro</i> (magyarul: zefír) másik jelentése: „könnyű, alig érzékelhető szél”. Az arab zifr szóra gondolhatunk a német Ziffer szóval kapcsolatban is. Valószínű, innen ered a mi cifra szavunk, amely a XV. században még zérust jelentett.<br />
A XX. században a nulla jelentősége határtalanul megnőtt, mivel a számítógép az egész világot "0-ra" és "1-re" szedi szét. A nulla tehát több, mint semmi! <br />
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mso-bidi-font-family:"Times New Roman";
mso-bidi-theme-font:minor-bidi;}
</style>
<![endif]--><span style="color: blue;"><b><span style="font-family: "Verdana","sans-serif";">Sorsjegy</span></b></span><br />
<span style="color: blue;"></span></div>
<span style="color: blue;"><span style="font-family: "Verdana","sans-serif";">
</span>Magános nulla mit sem ér.</span><br />
<span style="color: blue;">Ezer se több a semminél.<br />
Ha szám hozzája nem tapad, <br />
semmi az egész nullahad.<br />
De sok nulla, mit szám előz,<br />
mint a nagy szám, olyan erős,<br />
s mikor előtte sok a szám,<br />
egy nulla is hatalmas ám!<i><span style="font-size: 7.5pt;"> (Horváth Imre)</span></i></span>
<br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiO4NIcb8He7F_yccc-0sF_GpVb1ST3Cds3VEvAgfTiTSheD5uqlCpMfYNvCriXSJMMO7OQ6f0WsUsOpBOdxu8OG8qvghrYjMbUrB4rLvvVjLjSbvmPB-YBWUzgZRprZC8EHmW7MJJGz-GG/s1600/zero9.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiO4NIcb8He7F_yccc-0sF_GpVb1ST3Cds3VEvAgfTiTSheD5uqlCpMfYNvCriXSJMMO7OQ6f0WsUsOpBOdxu8OG8qvghrYjMbUrB4rLvvVjLjSbvmPB-YBWUzgZRprZC8EHmW7MJJGz-GG/s200/zero9.gif" height="200" width="167" /></a></div>
<div class="separator" style="clear: both; text-align: center;">
</div>
A <b>numerológia</b> vagy <b>számmisztika</b> számokkal foglalkozó
ezoterikus rendszer. Alapvetése, hogy a számok nem csak mennyiségi,
hanem minőségi mutatóval is rendelkeznek. Minden egyes számhoz jelentést
társít.<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi4344Yv88xkKAEGo1iFEvg5RDvH1K8f1HXdtmvssXtE6ixGbtahdqFA49D6BFLWrt_4jc3j8R-dG-ZTr8C3uW5Cc5Q27uTFgYSTcTF-NtPUpiRlCveKpNml8rMjKR2Br4qo1iYHq_Tfye4/s1600/zero2.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi4344Yv88xkKAEGo1iFEvg5RDvH1K8f1HXdtmvssXtE6ixGbtahdqFA49D6BFLWrt_4jc3j8R-dG-ZTr8C3uW5Cc5Q27uTFgYSTcTF-NtPUpiRlCveKpNml8rMjKR2Br4qo1iYHq_Tfye4/s200/zero2.jpg" height="185" width="200" /></a></div>
<br />
A különböző kultúrák számjegyeinek írása:<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhwcvGfO-DjoJF3pC7ypKOS-wcjJwiTzac3nE-XEODz7hWMabyOCBRL1aOw6ODrEZPg_NPTeLV4DRyocbMOPO5xLeCr01g6OADrc8dHROtwCusIFi7Z9Z30S-_lUByUyIztUeqxgrr2Tdmv/s1600/zero8.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhwcvGfO-DjoJF3pC7ypKOS-wcjJwiTzac3nE-XEODz7hWMabyOCBRL1aOw6ODrEZPg_NPTeLV4DRyocbMOPO5xLeCr01g6OADrc8dHROtwCusIFi7Z9Z30S-_lUByUyIztUeqxgrr2Tdmv/s400/zero8.png" height="142" width="400" /></a></div>
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<br /></div>
Unknownnoreply@blogger.comtag:blogger.com,1999:blog-6485088295608066948.post-80201997803610732252013-06-02T18:53:00.000+02:002013-06-02T19:07:57.247+02:00Területszámítás<div dir="ltr" style="text-align: left;" trbidi="on">
<br />
<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="float: right; margin-left: 1em; text-align: right;"><tbody>
<tr><td style="text-align: center;"><img alt="http://upload.wikimedia.org/wikipedia/commons/4/4b/Egyptian_A%27h-mos%C3%A8_or_Rhind_Papyrus_%281065x1330%29.png" class="decoded" height="200" src="http://upload.wikimedia.org/wikipedia/commons/4/4b/Egyptian_A%27h-mos%C3%A8_or_Rhind_Papyrus_%281065x1330%29.png" style="margin-left: auto; margin-right: auto;" width="160" /></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Részlet a Rhind-papiruszról</td></tr>
</tbody></table>
<div style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;">
</div>
<br />
A terület az egyik legrégibb matematikai fogalom. Területszámítással
már az ókori egyiptomiak és görögök
is foglalkoztak. A kör
területének kiszámításakor a ma <!--[if gte mso 9]><xml>
<o:DocumentProperties>
<o:Version>12.00</o:Version>
</o:DocumentProperties>
</xml><![endif]--><span style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: HU; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US;"><span style="mso-spacerun: yes;"> </span>π</span>-nek
jelölt számot az egyiptomiak még 3,11-nak, a görögök
már jobb közelítéssel 22/7-nek vették. <br />
Jó néhány síkbeli alakzat területét
kiszámíthatjuk úgy, hogy ismert területű
darabokra vágjuk őket. A terület daraboláskor
összeadódik, ez egy lényeges tulajdonsága, amivel
már az egyiptomiak is tisztában voltak. Területszámítási
módszereikről az úgynevezett Rhind-papiruszból
alkothatunk fogalmat. Az i. e. 1650-ben készült papírusz tekercs
másolója azt írja, hogy az eredeti a középbirodalom
idejéből (i. e.
2000-1800) származik. A papírusz 20
térfogat- és területszámítással
foglalkozó feladatot és azok megoldásait tartalmazza.<br />
A síkbeli alakzatok területének a darabolhatóság
mellett másik alapvető tulajdonsága az, hogy egy alakzatot
elmozgatva a területe nem változik meg.<br />
A sokszögek területét úgy mérjük, hogy összehasonlítjuk a választott területegységgel. <br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhRXSywwN4E1G44ibYXl4auB7EGMsJwceoHAqkdDHvKBdKBQ9-J7K6ujlRSSV_4lvBiYbSYUtwrpxTrBK8R2oCVqI1Q9lqnCtjI2WwY-lzEjM_yts5eN6ZK8ENTtth8pi-uI102x5ojesp6/s1600/ter%C3%BCletegys%C3%A9g.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="196" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhRXSywwN4E1G44ibYXl4auB7EGMsJwceoHAqkdDHvKBdKBQ9-J7K6ujlRSSV_4lvBiYbSYUtwrpxTrBK8R2oCVqI1Q9lqnCtjI2WwY-lzEjM_yts5eN6ZK8ENTtth8pi-uI102x5ojesp6/s320/ter%C3%BCletegys%C3%A9g.PNG" width="320" /></a></div>
<u>Téglalap területe:</u><br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhBexe_dD53H6FVsJmwVWDV1i3aDm0Um4GDyG_ALK4Dj-cRz8BKYwaQGs3zROVqrwT-dLdqkRcnKzL12OA-Q3OMRl0VFp_w5hxaPAiQ84YjtkIP16bylzen3Iez4vWZHR853ty7tvmCq7DE/s1600/t%C3%A9glalap.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="101" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhBexe_dD53H6FVsJmwVWDV1i3aDm0Um4GDyG_ALK4Dj-cRz8BKYwaQGs3zROVqrwT-dLdqkRcnKzL12OA-Q3OMRl0VFp_w5hxaPAiQ84YjtkIP16bylzen3Iez4vWZHR853ty7tvmCq7DE/s200/t%C3%A9glalap.PNG" width="200" /></a></div>
<br />
A <u>háromszög területe</u> egyenlő a háromszög oldala és az oldalhoz tartozó magasság szorzatának felével.<br />
<div class="separator" style="clear: both; text-align: center;">
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<br />
A háromszög területe téglalappá való kiegészítéssel - az így kapott téglalap területe egyenlő a háromszög területének a kétszeresével.<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg7SK-BNM_xTqRNw1B_yi2eqhkGkIZ5q5WkVpL7xFC2BpQeGbnf_Ri0EtiJzyB9zaWVkibILpnDJO5CbhHddUdrYtTPjCwdgSILB3GU2OyXVCkivTDtYKu7Rtnx8zhNNblNArsfiWopyTYq/s1600/kieg%C3%A9szit%C3%A9s.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="200" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg7SK-BNM_xTqRNw1B_yi2eqhkGkIZ5q5WkVpL7xFC2BpQeGbnf_Ri0EtiJzyB9zaWVkibILpnDJO5CbhHddUdrYtTPjCwdgSILB3GU2OyXVCkivTDtYKu7Rtnx8zhNNblNArsfiWopyTYq/s200/kieg%C3%A9szit%C3%A9s.PNG" width="166" /></a><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgb1eIhoM1SYNtkA0nfgLtRoltrlVCM8JGgFXUA9RwSTSLuuaqmqNKzRjwiwc_aEM_Q4nIUP0qo2XA2W5aEfGbPdPl-etzR-bnH27K5KBLRhcoKpFaAWu5UaYLXyX2-mVc3m0pmcRLt_9Gt/s1600/k%C3%A9plet.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="86" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgb1eIhoM1SYNtkA0nfgLtRoltrlVCM8JGgFXUA9RwSTSLuuaqmqNKzRjwiwc_aEM_Q4nIUP0qo2XA2W5aEfGbPdPl-etzR-bnH27K5KBLRhcoKpFaAWu5UaYLXyX2-mVc3m0pmcRLt_9Gt/s200/k%C3%A9plet.PNG" width="200" /></a></div>
Háromszög területe átdarabolással:<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhMMQmKFH_6jQkskdMB-rB5jmw-927Y03JuKPDquK-23G046yY9QyhdttyVNaEyZoORbSMo9HIx19SXdTNE3rZ6WFzUbeNxAj-g9hFQ9edD-m7PFoEMZCkLro8xITyFvrfkTWE5ujhONb0I/s1600/darab1.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="67" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhMMQmKFH_6jQkskdMB-rB5jmw-927Y03JuKPDquK-23G046yY9QyhdttyVNaEyZoORbSMo9HIx19SXdTNE3rZ6WFzUbeNxAj-g9hFQ9edD-m7PFoEMZCkLro8xITyFvrfkTWE5ujhONb0I/s320/darab1.PNG" width="320" /></a></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgAKLfT2x8SEgkNdFWnrLnZ2vaFMvnpYD_bSJAkDOs3tr38dn0hklLcrk4bdGGAs2WKEBm7EoMwKSX9346mq5LJHUawcFwyBqVLc8TC4dtGaw0HhrMeZFjVxTOufMinctc-PDFQ1h27qCOv/s1600/darab2.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="76" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgAKLfT2x8SEgkNdFWnrLnZ2vaFMvnpYD_bSJAkDOs3tr38dn0hklLcrk4bdGGAs2WKEBm7EoMwKSX9346mq5LJHUawcFwyBqVLc8TC4dtGaw0HhrMeZFjVxTOufMinctc-PDFQ1h27qCOv/s320/darab2.PNG" width="320" /></a></div>
<u>Négyszögek területe</u> átdarabolással:<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgk0dDk3IarHLhZTm5w_rsfJiDNU1AD7HbUrP71WRd3_2EfiMBxwvpeGEf-77phWdki7STlHCYjak5al4n_ao-U71xb3i6BtgcG_15ktbL8f-JF_s7GjVXsLPiznYmdEn3e4V0BEL0ScJ9U/s1600/11.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="90" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgk0dDk3IarHLhZTm5w_rsfJiDNU1AD7HbUrP71WRd3_2EfiMBxwvpeGEf-77phWdki7STlHCYjak5al4n_ao-U71xb3i6BtgcG_15ktbL8f-JF_s7GjVXsLPiznYmdEn3e4V0BEL0ScJ9U/s200/11.PNG" width="200" /></a></div>
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<u>Kör területe:</u><br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgvWxMhrcfgZ1D7bG5cEbT6c5VJ0No7HiOGzqjr7uWCbiFVjZ37bTqBNm-2bZwIl6w5djOWPtfLzj80Yee5KRCgyGKjqKZNGdRo07t4s6DIGw8DwZMh7deKMTkjjNgCnnfjoFVZBHqGXfaB/s1600/ko3.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgvWxMhrcfgZ1D7bG5cEbT6c5VJ0No7HiOGzqjr7uWCbiFVjZ37bTqBNm-2bZwIl6w5djOWPtfLzj80Yee5KRCgyGKjqKZNGdRo07t4s6DIGw8DwZMh7deKMTkjjNgCnnfjoFVZBHqGXfaB/s1600/ko3.PNG" /></a></div>
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Unknownnoreply@blogger.comtag:blogger.com,1999:blog-6485088295608066948.post-25499737951692406112013-06-01T21:09:00.000+02:002013-06-02T06:29:50.707+02:00A szög fogalma, fajtái<div dir="ltr" style="text-align: left;" trbidi="on">
<div class="separator" style="clear: both; text-align: center;">
</div>
<div style="margin-left: 1em; margin-right: 1em;">
</div>
A sík egy pontjából kiinduló két félegyenes a síkot két síkrészre, két szögre bontja. A félegyenesek a szögek szárai, a közös kezdőpont a két szög csúcsa.<br />
<br />
<div class="separator" style="clear: both; text-align: center;">
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A szögeket jelölhetjük a görög ábécé kisbetűivel<span style="font-style: italic;"></span>, vagy úgy, hogy az egyik szár egy pontját, a szög csúcspontját és a másik szár egy pontját egymás után írjuk (pl.
<span style="font-style: italic;">BCA</span>∢). Mindig a középső betű jelzi a szög csúcsát.<br />
<br />
<b>Szögek felosztása </b><br />
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<a href="http://www.bethlen.hu/matek/mathist/forras/szogparok.htm"><b>Szögpárok</b></a><br />
<b> </b> <br />
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Unknownnoreply@blogger.comtag:blogger.com,1999:blog-6485088295608066948.post-41997754492015400232013-05-25T18:42:00.000+02:002014-02-15T22:00:47.749+01:00Mértékegységek<div dir="ltr" style="text-align: left;" trbidi="on">
Ugye neked sem mindegy, ...<br />
... hogy a boltban 10 dkg vagy 10 kg sajtot kapsz? <br />
... hogy a fodrászod 10 cm-t vagy 10 mm-t vág a hajadból?<br />
... hogy 0,5 l vagy 0,5 dl limonádét iszol?<br />
<br />
A fizikában és a méréstudományban <b>mértékegységeknek</b> hívjuk azokat a méréshez használt egységeket, amivel a fizikai mennyiségeket pontosan meg tudjuk határozni. A kísérletek megismételhetősége a tudományos módszer legfontosabb jellemzője. Ehhez szabványokra van szükségünk, és ahhoz, hogy egységes mérési szabványokat hozzunk létre, szükségünk van a <i>mértékegységek rendszerére.</i>
A tudományos mértékegységek valójában a régi súly- és térfogat-mértékek
általánosításából keletkeztek, melyeket már régóta használunk a
kereskedelemben.<br />
A különböző mértékegységrendszerek eltérő alapegységeket választottak. A leggyakrabban használt mértékegységrendszer az SI rendszer, vagy más néven a <i><a href="http://www.youtube.com/watch?v=JyJBy24MlGw#t=847">Mértékegységek nemzetközi rendszere</a>,</i> melynek mértékegységei az SI-alapegységekből származnak. Minden SI származtatott egység ezen alapegységekből levezethető.<br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhotXe1hi3-MqJhmn2NPv1bnYjk7ckL0BSVEFhAW9_gWGxWrquDeOE5YunOQD45qPXbVJdfhOt6VKUfjyywUhvpsfX-Zqajjgn_o7unJgMT-UFLjXWTSHSS0ILmDVI5AscpZ0PScnrYV-1t/s1600/SI.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhotXe1hi3-MqJhmn2NPv1bnYjk7ckL0BSVEFhAW9_gWGxWrquDeOE5YunOQD45qPXbVJdfhOt6VKUfjyywUhvpsfX-Zqajjgn_o7unJgMT-UFLjXWTSHSS0ILmDVI5AscpZ0PScnrYV-1t/s400/SI.PNG" height="233" width="400" /></a></div>
<span style="font-size: x-small;">* Sajátos helyzet áll fenn a tömeg mértékegysége esetében. Maga a mértékegység a <b>gramm</b>, amely durván 1 cm³ tiszta, hideg víz tömege, jele <b>g</b> és a prefixumokat ez elé kell illeszteni. A tömeg SI-alapegysége viszont a kilogramm, amely a nevének megfelelően pontosan 1000 grammot jelent. </span><br />
<br />
<a href="http://www.precizios-loveszet.hu/images/measure.jpg" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" src="http://www.precizios-loveszet.hu/images/measure.jpg" height="133" id="irc_mi" style="margin-top: 30px;" width="200" /></a><span style="font-size: small;"><b>Hosszúság:</b><br />
1 km = 1 000 m <br />
1 m = 10 dm<br />
1 dm = 10 cm => 1 m = 10 dm = 100 cm = 1 000 mm<br />
1 cm = 10 mm </span>
<span style="font-size: small;"><br /></span>
<span style="font-size: small;"><b> </b></span><br />
<span style="font-size: small;"><b>Terület:</b></span>
<br />
<div class="MsoNormal">
</div>
<div class="MsoNormal">
<span style="font-size: small;"><span style="height: 89px; left: 387px; margin-left: 112px; margin-top: 32px; position: absolute; top: 115px; width: 37px; z-index: 251658240;"></span>1 km<sup>2 </sup>= 1 000 000 m<sup>2</sup></span></div>
<div class="MsoNormal">
<span style="font-size: small;">1 m<sup>2</sup> = 100 dm<sup>2 </sup> </span></div>
<div class="MsoNormal">
<span style="font-size: small;">1 dm<sup>2 </sup>= 100 cm<sup>2</sup> </span><br />
<span style="font-size: small;"><span style="font-size: small;">1 cm<sup>2 </sup>= 100 mm<sup>2 </sup></span> </span><br />
<span style="font-size: small;"> => 1 m<sup>2</sup> = 100 dm<sup>2 </sup>= 10 000 cm<sup>2 </sup>= 1 000 000 mm<sup>2</sup></span></div>
<div class="MsoNormal">
<span style="font-size: small;"><br /></span>
</div>
<div class="MsoNormal">
<span style="font-size: small;">ár: 1 a = 100 </span><span style="font-size: small;">m<sup>2</sup></span> </div>
<div class="MsoNormal">
hektár: 1 ha = 100 a = 10 000 m<sup>2</sup> = 0,01 km<sup>2</sup> </div>
<div class="MsoNormal">
<span style="font-size: small;"><br /></span>
</div>
<div class="MsoNormal">
</div>
<div class="MsoNormal">
<span style="font-family: inherit;"><b><span style="line-height: 115%;">Térfogat:</span></b><span style="font-size: small;"><span style="line-height: 115%;"> </span></span></span><br />
<span style="font-family: inherit;"><span style="font-size: small;"><span style="line-height: 115%;">1 m<sup>3</sup> = 1 000 dm<sup>3</sup> </span></span></span></div>
<div class="MsoNormal">
<span style="font-family: inherit;"><span style="font-size: small;"><span style="line-height: 115%;">1 dm<sup>3</sup> = 1 000 cm<sup>3</sup> => 1 m<sup>3</sup> = 1 000 dm<sup>3</sup> = 1 000 000 cm<sup>3</sup> = 1 000 000 000 mm<sup>3</sup> </span></span></span><br />
<span style="font-family: inherit;"><span style="font-size: small;"><span style="line-height: 115%;">1 cm<sup>3</sup> = 1 000 mm<sup>3</sup></span></span></span><span style="font-size: small;"><span style="line-height: 115%;"><span style="font-family: inherit;"> </span></span></span><br />
<span style="font-size: small;"><span style="line-height: 115%;"><span style="font-family: inherit;">1 dm<sup>3 </sup>= 1 liter</span></span></span><span style="font-family: inherit;"><span style="font-size: small;"><span style="line-height: 115%;"> </span></span></span></div>
<div class="MsoNormal" style="text-align: left;">
<span style="font-family: inherit;"><span style="font-size: small;"><span style="line-height: 115%;">1 m<sup>3 </sup>= 1 000 liter</span></span></span></div>
<div class="MsoNormal" style="text-align: left;">
</div>
<span style="font-family: inherit;"><span style="font-size: small;"> </span></span><br />
<div class="MsoNormal">
<a href="http://www.betonopus.hu/notesz/mertekegyseg/tomeg.jpg" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" src="http://www.betonopus.hu/notesz/mertekegyseg/tomeg.jpg" height="71" id="irc_mi" style="margin-top: 75px;" width="200" /></a><span style="font-family: inherit;"><span style="font-size: small;"><span style="line-height: 115%;">1 liter = 10 dl</span></span></span><br />
<span style="font-family: inherit;"><span style="font-size: small;"><span style="line-height: 115%;">1 dl = 10 cl => 1l = 10 dl = 100 cl = 1 000 ml</span></span></span><br />
<span style="font-family: inherit;"><span style="font-size: small;"><span style="line-height: 115%;">1 cl = 10 ml</span></span></span></div>
<div class="MsoNormal">
<span style="font-size: small;"><br /></span>
</div>
<div class="MsoNormal">
<span style="font-size: small;"><span style="line-height: 115%;"><b>Tömeg:</b></span></span></div>
<div class="MsoNormal">
<span style="font-size: small;"><span style="line-height: 115%;">1 t = 1 000 kg</span></span></div>
<div class="MsoNormal">
<span style="font-size: small;"><span style="line-height: 115%;"> 1 kg = 100 dkg</span></span></div>
<div class="MsoNormal">
<div style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;">
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<img alt="" height="200" 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" width="198" /></div>
<span style="font-size: small;"><span style="line-height: 115%;">1 dkg = 10 g => 1 kg = 100 dkg = 1 000 g</span></span><br />
<br />
<span style="font-size: small;"><span style="line-height: 115%;">1 mázsa = 100 kg </span></span><br />
<span style="font-size: small;"><span style="line-height: 115%;">1 tonna = 10 mázsa = 1 000 kg</span></span><br />
<br /></div>
<div class="MsoNormal">
<span style="font-size: small;"><span style="line-height: 115%;"> <b>Idő:</b></span></span></div>
<div class="MsoNormal">
<span style="font-size: small;"><span style="line-height: 115%;">1 év = 365 nap (szökőévben 366 nap)</span></span></div>
<div class="MsoNormal">
<span style="font-size: small;"><span style="line-height: 115%;">1 nap = 24 h (óra)</span></span></div>
<div class="MsoNormal">
<span style="font-size: small;"><span style="line-height: 115%;">1 h = 60 min (perc)</span></span><br />
<span style="font-size: small;"><span style="line-height: 115%;"> => 1 nap = 24 h = 1 440 min = 86 400 sec</span></span></div>
<div class="MsoNormal">
<div style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;">
</div>
<span style="font-size: small;"><span style="line-height: 115%;">1 min = 60 sec (másodperc) </span></span><br />
<span style="font-size: small;"><span style="line-height: 115%;"> => 1 h = 60 min = 3 600 sec</span></span><br />
<br />
1 hónap ≈ 4 hét ≈ 30 nap (4 hét = 28 nap)<br />
(február 28 napos, szökőévben 29 napos<br />
április, június, szeptember, november 30 napos<br />
január, március, május, július, augusztus, október, december 31 napos)<br />
<br />
<b><span style="font-size: small;"><span style="line-height: 115%;">Hőmérséklet: </span></span></b><br />
<span style="font-size: small;"><span style="line-height: 115%;">0 Celsius = 273,15 Kelvin = 32 Fahrenheit </span></span><br />
<br />
<span style="font-size: small;"><span style="line-height: 115%;"><a href="http://mek.oszk.hu/00000/00056/html/184.htm">Régi magyar mértékegységek</a> </span></span><br />
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<tr><td class="tr-caption" style="text-align: center;">Véka</td></tr>
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<span style="font-size: small;">Szólásmondásaink, dalaink is őrzik a feledéstől a régi magyar űrmértékek emlékét. Nem rejtjük <b>véka</b> alá, hogy alkalom adtán ma is vidáman énekeljük a régi, tréfás magyar népi játékdalt:</span><br />
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Megfogtam egy szúnyogot, <br />
nagyobb volt egy lónál, <br />
kisütöttem a zsírját, <br />
több volt egy <b>akónál.</b> <br />
Aki eztet elhiszi, <br />
szamarabb a lónál, <br />
aki eztet elhiszi, <br />
szamarabb a lónál.</div>
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<b><b>Akó</b></b><br />
<b><b>Eredetileg egy bizonyos nagyságú, bor tartására szolgáló (vasabroncsos)
hordót jelölt. Az akó országok, sőt városok szerint változó nagyságú
volt. Az egységes, tízes számrendszeren alapuló mértékrendszer
bevezetése előtt 1 akó 32 → pintnek, azaz 51 mai liternek felelt meg. Általánosabb volt az a mérték, amely az akó nagyságát közel a mai → hektó felének, fél hektónak, 54,30 liternek tekintette. </b></b><br />
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<b>Prefixumok (előtagok):</b><br />
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Az egység <b>1 000 000</b>-szorosa: <b>mega</b> (jele: <b>M</b>)<br />
<b>1 000</b>-szerese: <b>kilo</b> (jele: <b>k</b>)<br />
<b>100</b>-szorosa: <b>hekto</b> (jele: <b>h</b>)<br />
<b>10</b>-szerese: <b>deka</b> (jele: <b>dk</b> vagy <b>da</b>)<br />
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<b>1/10</b> része: <b>deci</b> (jele: <b>d</b>)<br />
<b>1/100</b> része: <b>centi</b> (jele: <b>c</b>)<br />
<b>1/1000</b> része: <b>milli</b> (jele: <b>m</b>)<br />
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Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-6485088295608066948.post-15280306868532982232013-05-23T20:17:00.000+02:002013-05-25T08:58:31.595+02:00Szimmetria - Victor Vasarely képein<div dir="ltr" style="text-align: left;" trbidi="on">
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<b>Victor Vasarely</b> (1906. április 9. - Párizs, 1997. március 15.) a leghíresebb XX.
századi magyar festők egyike. 1906-ban Pécsett született, Vásárhelyi
Győző néven. Gyermek- és ifjúkorát Pécsett töltötte. A középiskola
elvégzése után az orvostudományi egyetemre ment, de orvosi tanulmányait
félbeszakította, amikor komolyan kezdett érdeklődni a festészet, az
alkotás iránt. Eleinte itthon, majd 1930-tól Párizsban
reklámgrafikusként kereste kenyerét, ekkor dolgozta ki későbbi
művészetének jellemző vonásait.</div>
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Festészetének leghíresebb korszakai a <i>Fekete-fehér</i>, <i>Kristály-</i>, a <i>Vonal-</i> és <i>Egyetemes struktúrák</i>
korszak. Mindben nagy szerepe van a szigorú, szabályos geometriai
alakzatoknak, valamint ezek szinte optikai csalódást okozó, mozgást
sugalló elrendezésének. <i>Egyetemes struktúrák</i> korszakában, melyben
összes eddigi törekvése összeforr, négyszögekből, majd hatszögekből,
végül nyolcszögekből megalkotott képei köröket, sőt gömböket formálva 3
dimenziós térbeli ábráknak tűnnek. Nem hiába mondják Vasarely-t az
optikai művészet legkiemelkedőbb alakjának.</div>
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<i>Victor Vasarely képein többféle szimmetria is felfedezhető.</i> </div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgUmu5xcUvqAvQyudA-h8bayl4a6a2kLyiyby3dQJhWlw8eW19gnsJn44O1T8t9aUE3ZXcPQuJUf1dfYFYqne0OgwMm2SVtC_MV77fdpk0tysdXwCuGJcRVZ3ylXP1xTrnyOF5NALab0Cyb/s1600/viktor1.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="199" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgUmu5xcUvqAvQyudA-h8bayl4a6a2kLyiyby3dQJhWlw8eW19gnsJn44O1T8t9aUE3ZXcPQuJUf1dfYFYqne0OgwMm2SVtC_MV77fdpk0tysdXwCuGJcRVZ3ylXP1xTrnyOF5NALab0Cyb/s200/viktor1.PNG" width="200" /></a><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjVMUZmruczTiGxPNvS5mP_pBsMho4cxwFdy83_DydCTWjU2XPNkyguT6RY1Bballzhx-yNs-109uKoPG_I_hxn8KS-C3LI5ULwGj_O1aica_kCjbzusqUWYxunJOjg_eW6-vCGPg3tzWT6/s1600/viktor2.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="200" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjVMUZmruczTiGxPNvS5mP_pBsMho4cxwFdy83_DydCTWjU2XPNkyguT6RY1Bballzhx-yNs-109uKoPG_I_hxn8KS-C3LI5ULwGj_O1aica_kCjbzusqUWYxunJOjg_eW6-vCGPg3tzWT6/s200/viktor2.PNG" width="195" /></a></div>
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Unknownnoreply@blogger.comtag:blogger.com,1999:blog-6485088295608066948.post-76649003150665150242013-05-19T09:40:00.001+02:002013-05-19T20:40:18.903+02:00Serge Lang<div dir="ltr" style="text-align: left;" trbidi="on">
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<img height="200" hspace="20" src="http://tudosnaptar.kfki.hu/l/a/langs/langs.jpg" width="151" /></div>
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Francia születésű amerikai matematikus. Párizsban született 86 évvel ezelőtt.<br />
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(1927.05.19. - Berkeley, USA, 2005.09.12.)<br />
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Középiskoláit
Párizsban kezdte el, majd az Egyesült Államokban fejezte be, ahova
szüleivel áttelepültek. 1946-ban Kaliforniában fizikus
diplomát szerzett. Másféléves katonai szolgálat után a Princeton-i
Egyetemen eleinte filozófiát hallgatott, de megváltoztatta tárgyát, és matematikai Ph.D. fokozatot szerzett 1951-ben. Kezdetben a Columbia Egyetem professzora volt, majd 1972-től haláláig a Yale Egyetem matematika
professzora. Számos tudományos cikket,
több mint 60 matematikai könyvet írt. Munkásságának jelentős területe a
számelmélet, ezen belül is az algebrai geometria és a <span style="color: red;">diofantoszi
egyenletek elmélete</span>. Több rangos tudományos díjat kapott.<br />
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Diofantoszi egyenletek <br />
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A matematikában a <b>diofantoszi egyenlet</b> (a 3. században élt görög matematikusról,<span style="color: red;"> <span style="color: red;"><a href="http://www.bethlen.hu/matek/mathist/forras/Diophantosz.htm" title="Diophantosz">Diophantoszról</a></span></span>) olyan egész együtthatós, általában többismeretlenes algebrai egyenlet, amelynek megoldásait az egész, ritkábban a természetes számok, illetve racionális számok körében keressük.<br />
Legegyszerűbb az elsőfokú, kétismeretlenes diofantoszi egyenlet,
melyet a következő alakban szokás felírni: ax+by = c. Ennek az
egyenletnek akkor és csakis akkor van egész számokból álló megoldása, ha az ismeretlenek együtthatóinak legnagyobb közös osztója
egyben a jobb oldalra írt állandónak is osztója. Az elsőfokú
Diofantoszi egyenlet megoldására ismeretesek különböző eljárások, de a
magasabb fokúakra alig ismerünk általános megoldási módszereket. <br />
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Diophantosz sírfelirata<br />
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<span style="font-size: large;"><i><span style="font-family: Garamond;">"Vén Diophantoszt rejti e
kő. Bár ő maga szunnyad, <br />
megtanította a sírt, mondja el élte sorát.<br />
Évei egyhatodát tölté ki a gyönge gyerekkor, <br />
még feleannyi lefolyt, s álla szakálla kinőtt.<br />
Egyheted eltelt még, és nászágy várta a férfit, <br />
elmúlt újra öt év, és fia megszületett. <br />
Ez feleannyi napig láthatta a fényt idefenn, mint <br />
atyja, mivel neki így szabta az isteni sors.<br />
Őt gyászolva a sír felé hajlott agg Diophantosz,<br />
négy évvel később ő is elérte a célt.<br />
Mondd, hány esztendőt élt hát meg gyászban, örömben,<br />
S itta az édes fényt, míg hona lett ez a sír?"</span></i> </span><br />
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Hány évig élhetett a sírfelirat szerzője? <a href="http://www.bethlen.hu/matek/mathist/forras/Diophantosz_sirfelirata_megoldas.htm">Itt ellenőrizheted a megoldásodat!</a><br />
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Unknownnoreply@blogger.comtag:blogger.com,1999:blog-6485088295608066948.post-72411428702265822202013-05-18T17:04:00.000+02:002013-05-19T10:03:28.853+02:00Tengelyes szimmetria<div dir="ltr" style="text-align: left;" trbidi="on">
Az 5/4 osztály matematikaórán szimmetrikus képeket alkotott. Itt látható egy kis ízelítő a legjobban sikerült munkákból.<br />
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<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiXukf_7DqQsMqyM4qVDd6rmQHQbOUv9EqiO7ue7kZn59CowL-Td61Vg5hnqQQudUlAsl-4STacS0NWuOqJt33AIDUO0msAtGKPQ_-3GxLcZ9pnvghsQFuU4smRLGaI9Dpm7f0A9u3l-QQ5/s1600/HPIM1552.JPG" imageanchor="1" style="clear: left; margin-bottom: 1em; margin-left: auto; margin-right: auto;"><img border="0" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiXukf_7DqQsMqyM4qVDd6rmQHQbOUv9EqiO7ue7kZn59CowL-Td61Vg5hnqQQudUlAsl-4STacS0NWuOqJt33AIDUO0msAtGKPQ_-3GxLcZ9pnvghsQFuU4smRLGaI9Dpm7f0A9u3l-QQ5/s320/HPIM1552.JPG" width="240" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Varga Andrea</td></tr>
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<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgmni0SXa8ytSxGvX_1799KRUWNVagpTU5zRHf9pPBrlckFaeRcsJkxVvBsZIpm4smNE7qI0ANM2pZjGatj7kZYWrMeGDpQ6Zx2M7sGbHv8OeFpzeucN2hUfTtijn0BnXXGfuDdH_X0sn7Y/s1600/HPIM1551.JPG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="283" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgmni0SXa8ytSxGvX_1799KRUWNVagpTU5zRHf9pPBrlckFaeRcsJkxVvBsZIpm4smNE7qI0ANM2pZjGatj7kZYWrMeGDpQ6Zx2M7sGbHv8OeFpzeucN2hUfTtijn0BnXXGfuDdH_X0sn7Y/s320/HPIM1551.JPG" width="320" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Drobina Dániel</td></tr>
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<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh1A21FA3HlwJ8-uFF_Z7qL_y3bpmb7BDapAxA-3KH-RD6wKo3hJr11BDLgzGfl4HVzMyCgW7VOK8AYnAQHID_gG5mGKbhUs3AeP45LLABu_X91IRO7uHrFkLlg462v43X93mJVq1I6Y0mn/s1600/HPIM1545.JPG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh1A21FA3HlwJ8-uFF_Z7qL_y3bpmb7BDapAxA-3KH-RD6wKo3hJr11BDLgzGfl4HVzMyCgW7VOK8AYnAQHID_gG5mGKbhUs3AeP45LLABu_X91IRO7uHrFkLlg462v43X93mJVq1I6Y0mn/s320/HPIM1545.JPG" width="305" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Úri Alexandra </td></tr>
</tbody></table>
<table cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEipiwRE3-rTgEFROygA03Fjo5Or7MUjKv5QNFmVtcGHj6TBeFAXoJj3YmmXgTEOjZsfipKhAPy8cxe_CkK_MzEN2G41EfQvJ6c92t-26WDqBhWS_ejNHhUIB4zwTIZrv87Du5x-HyQTa2Ty/s1600/HPIM1543.JPG" imageanchor="1" style="clear: left; margin-bottom: 1em; margin-left: auto; margin-right: auto;"><img border="0" height="232" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEipiwRE3-rTgEFROygA03Fjo5Or7MUjKv5QNFmVtcGHj6TBeFAXoJj3YmmXgTEOjZsfipKhAPy8cxe_CkK_MzEN2G41EfQvJ6c92t-26WDqBhWS_ejNHhUIB4zwTIZrv87Du5x-HyQTa2Ty/s320/HPIM1543.JPG" width="320" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Kőrösi Noémi</td></tr>
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<tr><td class="tr-caption" style="text-align: center;">Bózsó Szintia </td></tr>
</tbody></table>
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<tr><td class="tr-caption" style="text-align: center;">Somogyi Martin </td></tr>
</tbody></table>
<div class="separator" style="clear: both; text-align: center;">
</div>
<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhRRuUBAxvy9QDSbA4g34TtkiwOn80BsbNOae1D5cG3NLdkCVFFUhYtajz8uX8XjEf9FmjhsZ8UQ4BX0U-XnSHs8keApiTY4hTwOAWz8rIznNQjHTAtqZ3CRnO7EPWQALrRhX4LqkqcVONX/s1600/HPIM1549.JPG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="238" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhRRuUBAxvy9QDSbA4g34TtkiwOn80BsbNOae1D5cG3NLdkCVFFUhYtajz8uX8XjEf9FmjhsZ8UQ4BX0U-XnSHs8keApiTY4hTwOAWz8rIznNQjHTAtqZ3CRnO7EPWQALrRhX4LqkqcVONX/s320/HPIM1549.JPG" width="320" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Csíkos Klaudia </td></tr>
</tbody></table>
</div>
Unknownnoreply@blogger.comtag:blogger.com,1999:blog-6485088295608066948.post-66575744933333251372013-05-07T05:30:00.000+02:002013-05-07T05:30:16.605+02:00Alexis Claude Clairaut<div dir="ltr" style="text-align: left;" trbidi="on">
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<span style="clear: left; float: left; font-family: "Times New Roman","serif"; font-size: 12pt; margin-bottom: 1em; margin-right: 1em;"><a href="http://tudosnaptar.kfki.hu/c/l/clairaut/clairaut.jpg" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" height="320" hspace="20" src="http://tudosnaptar.kfki.hu/c/l/clairaut/clairaut.jpg" width="243" /></a>Francia
matematikus, csillagász. Párizsban született 300 évvel ezelőtt. (1713. máj. 7. -
Párizs, 1765. máj. 17.)<br />
A kétszeres görbületű görbék vizsgálata című művét 18 éves korában írta. A
háromtest problémát a Nap, Föld és Hold esetére alkalmazva meghatározta a Hold
mozgását és pályáját, erről írt könyve, A Hold elmélete 1752-ben jelent meg.
Híres munkájában, a <span style="color: windowtext; text-decoration: none; text-underline: none;">Halley</span>-üstökös
pályájának kiszámításáról írt értekezésében megjósolta az üstökös
visszatérését, ami az általa megadott időben, 1758-ban be is következett.</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt;">A <b>Halley-üstökös</b>
nevét <a href="http://hu.wikipedia.org/wiki/Edmond_Halley" title="Edmond Halley"><span style="color: windowtext; text-decoration: none; text-underline: none;">Edmond Halley</span></a>
angol csillagászról kapta, aki kiszámította pályáját, elsőként a periodikus
üstökösök közül. Keringési periódusa 76 év, legutoljára <span style="color: windowtext; text-decoration: none; text-underline: none;">1986</span>-ban járt a <span style="color: windowtext; text-decoration: none; text-underline: none;">Naprendszerünkben</span>,
így legközelebb <b>2061-ben</b> fog visszatérni.</span></div>
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Unknownnoreply@blogger.comtag:blogger.com,1999:blog-6485088295608066948.post-35363266262459096032013-05-06T13:24:00.003+02:002013-05-19T21:26:50.933+02:00Martin Ohm<div dir="ltr" style="text-align: left;" trbidi="on">
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-bidi-font-weight: bold; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: HU;">Német matematikus,</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: HU;"> Erlangenben
született Németországban 221 évvel ezelőtt. (1792. máj. 6. - Berlin, 1872. ápr. 1.)</span></div>
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<span style="clear: left; float: left; font-family: "Times New Roman","serif"; font-size: 12pt; margin-bottom: 1em; margin-right: 1em;"><img height="200" hspace="20" src="http://tudosnaptar.kfki.hu/o/h/ohm/ohm.jpg" width="151" />
</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: HU;"><a href="http://tudosnaptar.kfki.hu/historia/egyen.php?namenev=ohmg&nev5=Ohm,+Georg+Simon&s=1"><span style="color: windowtext; text-decoration: none; text-underline: none;">Georg Ohm</span></a>
fizikus öccse, eleinte apját követve a lakatos-mesterséget tanulta, de később
egyetemi tanulmányokat végzett. 1811-ben doktorált. 1824-ben a berlini egyetem matematika tanára lett.
Megkísérelte Euklidesz után egységes elméletbe foglalni a matematikai
ismereteket. Számos matematika tankönyvet írt. Álláspontja szerint másképpen
kell írni a szakemberek számára, mint a nagyközönség számára, emiatt több
kortársával ellentétbe került. Neki tulajdonítják az <a href="http://www.jgytf.u-szeged.hu/tanszek/matematika/speckoll/2001/arany/04_sikgeometria.htm">"aranymetszés"</a>
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<div style="margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 1.0cm; margin-right: 0cm; margin-top: 0cm; text-align: justify;">
Az <b>aranymetszés</b> vagy <b>aranyarány</b>
egy olyan <span style="color: windowtext; text-decoration: none; text-underline: none;">arányosság</span>,
ami a természetben és művészetben is gyakran megjelenik, természetes egyensúlyt
teremtve a szimmetria és az aszimmetria között.</div>
<div style="margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 1.0cm; margin-right: 0cm; margin-top: 0cm; text-align: justify;">
Aranymetszési arányok találhatók
számos ókori épületen, középkori és <span style="color: windowtext; text-decoration: none; text-underline: none;">reneszánsz</span>
képzőművészeti alkotásokon. Az ókori pütagoreusok, akik szerint a valóság
matematikai alapokon nyugszik, az aranymetszésben a létezés egyik alaptörvényét
vélték felfedezni, ugyanis ez az arány felismerhető a természetben is (például
az emberi testen vagy csigák mészvázán).</div>
<div style="margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 1.0cm; margin-right: 0cm; margin-top: 0cm; text-align: justify;">
Az aranymetszés arányait tartalmazó
formák máig nagy esztétikai értékkel bírnak, számos területen alkalmazzák őket.</div>
<div style="margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 1.0cm; margin-right: 0cm; margin-top: 0cm; text-align: justify;">
Az aranyarányt numerikusan kifejező <span style="color: windowtext; text-decoration: none; text-underline: none;">irracionális</span> <b>Φ</b> ≈ 1,618 számnak
(görög nagy <span style="color: windowtext; text-decoration: none; text-underline: none;">fí</span>)
számos érdekes matematikai tulajdonsága van.</div>
<br />
<div class="separator" style="clear: both; text-align: center;">
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</td>
</tr>
</tbody></table>
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Unknownnoreply@blogger.comtag:blogger.com,1999:blog-6485088295608066948.post-27101350442328737992013-04-30T07:48:00.002+02:002013-04-30T20:49:51.326+02:00Matematikai játékok<div dir="ltr" style="text-align: left;" trbidi="on">
Április 27-én játékos napot tartottunk. A tanulók kipróbálhattak néhány logikai játékot.<br />
<br />
<span style="color: yellow;"><b>Tantrix</b></span> - a térlátás fejlesztésének egy módja.<br />
<br />
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- Minden feladatban egy egyre nagyobb hurkot kell kirakni.<br />
- Az 1-es, 2-es és 3-as számú lapkával kezdünk, sárga hurkot készítünk.<br />
- A 4-es lapkát felhúzva egy négylapkás piros hurkot kell készíteni.<br />
- Minden érintkező oldalon az ívek színeinek egyeznie kell.<br />
- Ha kész a megoldás, akkor a következő sorszámú lapka következik.<br />
- Az utoljára felhúzott lapka hátán lévő szín mutatja a hurok színét.<br />
- A hurok alakja bármilyen lehet, de a megoldás nem tartalmazhat lyukat.<br />
- Minél több lapkát használunk, a hurok annál szabálytalanabb alakot vehet fel.<br />
A tantrix játéknak számos változata van. <br />
<br />
<span style="color: yellow;"><b>Néhány ördöglakat</b></span><br />
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<br />
<span style="color: yellow;"><b>Pentominó</b></span> - öt egyenlő területű négyzetből épül fel, általában kirakós türelemjátékként játsszák.<br />
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<br />
<span style="color: yellow;"><b>Síkbeli összerakó</b></span><br />
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" 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" width="320" /></a></div>
12 különböző alakzat van belőle. Minden elem hasonlít egy-egy betűre, így ezeket szoktuk használni a megnevezésükre. Ezekkel az alakzatokkal lefedhetünk különböző méretű téglalapokat (a 6x10-es téglalap lefedésére 2339-féle, az 5x12-es téglalapra 1010, a 4x15-ös téglalapra 368, a 3x20-as téglalapra pedig csupán két megoldás létezik). (továbbiakért kattints <a href="http://www.jatektan.hu/jatektan/uj2001/penfela1.html" target="_blank">ide</a>!)<br />
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<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 2"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 3"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 4"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 5"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 6"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 7"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 8"/>
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<w:LsdException Locked="false" Priority="39" Name="toc 2"/>
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<![endif]--><span style="font-family: "Calibri","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: HU; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: HU; mso-hansi-theme-font: minor-latin;"> </span><br />
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<br />
A legkézenfekvőbb feladat különböző, szép figurák összeállítása. Ilyenekből látható néhány a lenti ábrán.<br />
<br />
<br />
</div>
<div class="separator" style="clear: both; text-align: center;">
<a href="http://m.blog.hu/or/ordoglakat/image/Pentomino/PentoFeladv3.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="" border="0" class="imgnotext" height="320" src="http://m.blog.hu/or/ordoglakat/image/Pentomino/PentoFeladv3.jpg" width="320" /></a></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt;">
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<span style="color: yellow;"><b>Térbeli összerakó</b></span> </div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt;">
<br /></div>
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A 12 elem összesen 60 kis kockából áll. A 60 viszonylag sokféleképpen
bontható három egész szám szorzatára, így elvben viszonylag sok
téglatest alkotható ennyi kockából. A kirakható téglatestek méretei lehetnek: 3x4x5, 2x5x6 és 2x3x10. </div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhDGZr774LuYAf14Ibwi81UQIdyaWnH2mg9rPGGR18ApVv2PN3-6p8AHrs8z3LVJoh7Eh-RjQe7qEMCicGwYm8JoKT75ksl-vZzXFpHM_BB9MrcdAUFy6DDvyLxACPKBDVSisuLpoUWNBQU/s1600/HPIM1286.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="150" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhDGZr774LuYAf14Ibwi81UQIdyaWnH2mg9rPGGR18ApVv2PN3-6p8AHrs8z3LVJoh7Eh-RjQe7qEMCicGwYm8JoKT75ksl-vZzXFpHM_BB9MrcdAUFy6DDvyLxACPKBDVSisuLpoUWNBQU/s200/HPIM1286.JPG" width="200" /><img alt="" class="imgnotext" height="163" src="http://m.blog.hu/or/ordoglakat/image/Pento3DTegla/3x4x5_3.jpg" width="200" /></a></div>
<br />
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt;">
<span style="color: yellow;"><b><span style="font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: HU;">Társas pentominó</span></b></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt;">
<span style="font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: HU;"><br /></span></div>
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<span style="font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: HU;">A társas pentominót ketten játsszák
négyzetrácsos táblán; az optimális méret 8x8 mező.</span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt;">
<span style="font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: HU;">A játék elején kétfelé osztják a pentominó
készletet - ennek célszerű módja az, hogy kalapba helyezik és látatlanban,
felváltva húzzák ki őket. A játék során felváltva helyezik le egy-egy
pentominójukat a táblára úgy, hogy a pentominó minden négyzete a tábla egy-egy
üres négyzetére kerüljön. Aki nem tud pentominót lerakni, vesztett. </span>(továbbiakért kattints <a href="http://www.jatektan.hu/jatektan/pofonos/pentars.html" target="_blank">ide</a>!)</div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgZYk3G-lUWesQHWEDgWsiS6nesCqpbDjG0dRTKrpDLWKft4PxWFOcVtyNQNtWll2cdDKUpHwkB1omd2B1SFbylxUP80rGMOWWs1nVZN81mEOrnkrteA9IDE4-QSwGqdSS3xuu8P0gI1qpb/s1600/HPIM1521.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="199" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgZYk3G-lUWesQHWEDgWsiS6nesCqpbDjG0dRTKrpDLWKft4PxWFOcVtyNQNtWll2cdDKUpHwkB1omd2B1SFbylxUP80rGMOWWs1nVZN81mEOrnkrteA9IDE4-QSwGqdSS3xuu8P0gI1qpb/s320/HPIM1521.JPG" width="320" /></a></div>
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