Mizere 20, 100, 150, 200, 300, 400 & 500 Mawu Essay pa Srinivasa Ramanujan mu Chingerezi ndi Chihindi

Nkhani Yamawu 100 pa Srinivasa Ramanujan mu Chingerezi

Srinivasa Ramanujan anali katswiri wa masamu wa ku India yemwe anathandiza kwambiri pa masamu. Iye anabadwa mu 1887 m’mudzi wina waung’ono ku India ndipo anasonyeza luso loyambirira la masamu. Ngakhale kuti anali ndi maphunziro ochepa, adapeza zinthu zochititsa chidwi kwambiri m'malingaliro a chiwerengero ndipo anapitirizabe kuthetsa mavuto a masamu m'moyo wake waufupi. Ntchito ya Ramanujan yakhudza kwambiri masamu ndipo ikuphunziridwabe komanso kuyamikiridwa mpaka pano. Amawerengedwa kuti ndi m'modzi mwa akatswiri a masamu akuluakulu m'mbiri ndipo cholowa chake chimapitilirabe kudzera mwa akatswiri ambiri a masamu omwe adalimbikitsidwa ndi ntchito yake.

200 Mawu Essay pa Srinivasa Ramanujan mu Chingerezi

Zothandizira kwambiri pa masamu kumayambiriro kwa zaka za zana la 20. Anthu ambiri amamuona kuti ndi mmodzi mwa akatswiri a masamu aakulu kwambiri m’mbiri yonse, ngakhale kuti anali ndi maphunziro ochepa chabe pa nkhaniyi.

Ramanujan anabadwa mu 1887 ku Erode, mudzi wawung'ono ku Tamil Nadu, India. Ngakhale kuti anabadwira muumphawi, adawonetsa luso lachilengedwe la masamu ali wamng'ono kwambiri. Anadziphunzitsa yekha masamu apamwamba powerenga mabuku ndi mapepala pa phunzirolo, ndikugwira ntchito pa yekha mavuto a masamu.

Zothandizira zodziwika bwino za Ramanujan pa masamu zinali m'magawo a nthano za manambala ndi mndandanda wopandamalire. Anapanga njira zingapo zosinthira kuti athetse mavuto a masamu ndipo adapeza zinthu zambiri zomwe zakhudza kwambiri ntchitoyo.

Chimodzi mwazinthu zochititsa chidwi kwambiri pa ntchito ya Ramanujan ndikuti adathandizira kwambiri masamu ngakhale anali ndi maphunziro ochepa pamutuwu. Luso lake ndi chikhumbo cha masamu chinamupangitsa kuti athetse malire a maphunziro ake ndikuthandizira kwambiri pamunda.

Ramanujan adamwalira ali ndi zaka 32, koma cholowa chake chimakhalabe ndi ntchito yake komanso akatswiri ambiri a masamu omwe adadzozedwa ndi luso lake. Amakumbukiridwa monga katswiri wa masamu yemwe adathandizira kwambiri pamunda. Amakumbukiridwanso ngati chilimbikitso kwa ena omwe mwina sanapeze mwayi wopeza maphunziro apamwamba a masamu.

300 Mawu Essay pa Srinivasa Ramanujan mu Chingerezi

Srinivasa Ramanujan anali katswiri wa masamu yemwe adathandizira kwambiri masamu, ngakhale adakumana ndi zovuta zambiri komanso zopinga zambiri pamoyo wake. Wobadwa mu 1887 ku India, Ramanujan adawonetsa luso lachilengedwe la masamu kuyambira ali mwana. Analandira maphunziro ochepa, koma anali wodziphunzitsa yekha ndipo ankathera nthawi yambiri akuwerenga mabuku a masamu ndikugwira ntchito pa masamu omwe adatulukira.

Zothandizira zazikulu za Ramanujan zinali m'malo a chiphunzitso cha manambala komanso mndandanda wopandamalire. Anapereka upainiya pakuphunzira kugawa kwa manambala apamwamba ndipo adapanga njira zosinthira zowerengera mndandanda wopandamalire. Adathandiziranso kwambiri pakuwerengera ma modular mafomu ndi ma equation ma modular, ndipo adapanga njira zingapo zothandiza zowunikira zotsimikizika.

Ngakhale adachita zambiri, Ramanujan adakumana ndi zovuta pantchito yake. Anavutika kuti apeze thandizo la ndalama ndi kutchuka chifukwa cha ntchito yake, ndipo ankadwaladwala kwa moyo wake wonse. Ngakhale zinali zovuta izi, Ramanujan analimbikira ndipo anapitirizabe kuthandiza kwambiri masamu.

Ntchito ya Ramanujan yakhudza kwambiri masamu, ndipo amadziwika kuti ndi mmodzi mwa akatswiri apamwamba kwambiri a masamu m’mbiri. Zopereka zake zakhudzanso akatswiri a masamu ambiri ndipo zathandiza kukonza njira yofufuza masamu m'zaka za m'ma 20 ndi 21. Pozindikira zomwe adathandizira, Ramanujan walandira mphotho ndi zoyamikiridwa zambiri, kuphatikiza ulemu wapamwamba kwambiri wa Royal Society, Royal Society's Copley Medal.

Ponseponse, moyo wa Srinivasa Ramanujan ndi ntchito zake zimakhala zolimbikitsa kwa onse omwe amakonda masamu ndipo ali okonzeka kupirira ngakhale akukumana ndi zovuta. Zopereka zake pa masamu zidzapitirirabe kukumbukiridwa ndi kuphunzira kwa mibadwo yotsatira.

400 Mawu Essay pa Srinivasa Ramanujan mu Chingerezi

Srinivasa Ramanujan anali katswiri wa masamu waku India yemwe adathandizira kwambiri pakusanthula masamu, chiphunzitso cha manambala, ndi tizigawo topitilira. Iye anabadwa pa December 22, 1887, ku Erode, India, ndipo anakulira m’banja losauka. Ngakhale kuti adayambira modzichepetsa, Ramanujan adawonetsa luso lachilengedwe la masamu kuyambira ali mwana ndipo adachita bwino m'maphunziro ake.

Mu 1911, Ramanujan analandira maphunziro oti akaphunzire pa yunivesite ya Madras, kumene anachita bwino kwambiri masamu ndipo anamaliza digiri ya masamu mu 1914. Atamaliza maphunziro ake, anavutika kuti apeze ntchito ndipo kenako anayamba kugwira ntchito ngati kalaliki mu Accountant General’s. ofesi.

Ngakhale sanaphunzire bwino masamu, Ramanujan adapitilizabe kuphunzira ndikugwira ntchito pamavuto a masamu munthawi yake. Mu 1913, anayamba kulemberana makalata ndi katswiri wa masamu wachingelezi GH Hardy, yemwe anachita chidwi ndi luso la masamu la Ramanujan ndipo anamupempha kuti abwere ku England kuti akapitirize maphunziro ake.

Mu 1914, Ramanujan anapita ku England ndipo anayamba kugwira ntchito ndi Hardy pa yunivesite ya Cambridge. Panthawiyi, adathandizira kwambiri kusanthula masamu ndi chiphunzitso cha manambala, kuphatikizapo chitukuko cha Ramanujan prime ndi ntchito ya Ramanujan theta.

Ntchito ya Ramanujan inakhudza kwambiri masamu, ndipo amadziwika kuti ndi mmodzi mwa akatswiri apamwamba kwambiri a masamu m’mbiri. Ntchito yake idayala maziko owerengera ma modular mafomu, omwe ali ofunikira pophunzira ma curve ozungulira komanso kugwiritsa ntchito mu cryptography ndi nthano ya zingwe.

Ngakhale adachita zambiri, moyo wa Ramanujan udafupikitsidwa ndi matenda. Anabwerera ku India mu 1919 ndipo anamwalira mu 1920 ali wamng'ono wa zaka 32. Komabe, cholowa chake chikupitirizabe kupyolera mu zopereka zake ku masamu ndi ulemu wochuluka umene waperekedwa kwa iye. Izi zikuphatikizapo Order of the British Empire ndi Sylvester Medal of the Royal Society.

Nkhani ya Ramanujan ndi umboni wa mphamvu yakutsimikiza komanso kudzipereka pantchito. Ngakhale akukumana ndi zovuta zambiri komanso zopinga zambiri, sanasiye chidwi chake cha masamu ndipo adapitilizabe kuchita zambiri pamunda. Ntchito yake ikupitirizabe kulimbikitsa ndi kulimbikitsa akatswiri a masamu padziko lonse lapansi mpaka lero.

500 Mawu Essay pa Srinivasa Ramanujan mu Chingerezi

Srinivasa Ramanujan anali katswiri wa masamu yemwe adathandizira kwambiri pazambiri zowunikira, chiphunzitso cha manambala, ndi mndandanda wopanda malire. Ramanujan wobadwa mu 1887 ku Erode, India, adawonetsa luso la masamu ndipo adayamba kudziwerengera yekha mitu yapamwamba ali achichepere. Ngakhale kuti anali ndi mwayi wochepa wopeza maphunziro apamwamba, adatha kukulitsa luso lake la masamu mpaka kuti azitha kupeza zinthu zochititsa chidwi payekha.

Chimodzi mwazinthu zodziwika bwino za Ramanujan chinali ntchito yake pa chiphunzitso cha magawo, lingaliro la masamu lomwe limakhudza kugawa magawo ang'onoang'ono, osadukizana. Anatha kupanga njira yowerengera kuchuluka kwa njira zomwe seti ingagawidwe. Njirayi tsopano imadziwika kuti Ramanujan partition function. Ntchitoyi idathandizira kupititsa patsogolo kumvetsetsa kwa chiphunzitso cha nambala ndipo yakhudza kwambiri ntchitoyo.

Kuphatikiza pa ntchito yake yogawa magawo, Ramanujan adathandiziranso kwambiri pakufufuza kwamagulu opanda malire komanso tizigawo topitilira. Adatha kupeza njira zingapo zofunika ndi malingaliro, kuphatikiza ndalama za Ramanujan. Awa ndi mawu a masamu omwe amagwiritsidwa ntchito powerengera kuchuluka kwa mtundu wina wa mndandanda wopandamalire. Ntchito yake pa mndandanda wopandamalire idathandizira kuwunikira mawonekedwe a masamu ovutawa ndipo yakhudza kwambiri masamu.

Ngakhale adathandizira masamu ambiri, Ramanujan adakumana ndi zovuta zambiri pantchito yake. Chopinga chachikulu chinali chakuti analibe mwayi wopeza maphunziro apamwamba ndipo kwakukulukulu anali wodziphunzitsa yekha. Izi zinapangitsa kuti zikhale zovuta kuti adziwike m'gulu la masamu, ndipo zinatenga nthawi kuti ntchito yake iyamikilidwe bwino.

Ngakhale zinali zovuta izi, Ramanujan pomaliza pake adapeza chidwi cha akatswiri ena a masamu anthawi yake. Mu 1913, adalandira maphunziro ophunzirira ku yunivesite ya Cambridge, komwe adagwira ntchito ndi katswiri wa masamu wotchuka GH Hardy. Onse pamodzi, adatha kutsimikizira malingaliro angapo opanda pake ndikupanga malingaliro angapo oyambirira a masamu.

Zomwe Ramanujan adapereka pa masamu zakhudza kwambiri ndipo zikupitilizabe kuphunziridwa ndikukondweretsedwa mpaka lero. Ntchito yake pamindandanda yopanda malire, magawo, ndi tizigawo topitilira tathandizira kumvetsetsa kwathu masamu ovuta awa. Yayala maziko a kupita patsogolo kwakukulu m'munda. Ngakhale zovuta zomwe adakumana nazo, kudzipereka ndi luso la Ramanujan zidamupangitsa kukhala m'modzi mwa akatswiri olemekezeka a masamu m'mbiri.

Ndime pa Srinivasa Ramanujan mu Chingerezi

Srinivasa Ramanujan anali katswiri wa masamu yemwe adathandizira kwambiri pazambiri za kusanthula, chiphunzitso cha nambala, ndi magawo opitilira. Iye anabadwa mu 1887 ku India ndipo anasonyeza luso la masamu kuyambira ali wamng’ono. Ngakhale kuti anali ndi mwayi wochepa wopeza maphunziro apamwamba, Ramanujan adakulitsa luso lake la masamu pophunzira yekha ndipo adafalitsa pepala lake loyamba lofufuza ali ndi zaka 17. Mu 1913, adadziwika ndi katswiri wa masamu wa Chingerezi GH Hardy. Anamuitana kuti akaphunzire ku yunivesite ya Cambridge ndipo adathandizira pa chiphunzitso cha manambala. Nambala. Anapanga njira zothandiza zothetsera mavuto a masamu. Anasindikizanso mapepala angapo onena za tizigawo ting’onoting’ono. Ntchito za Ramanujan zakhudza kwambiri masamu ndipo amadziwika kuti ndi m'modzi mwa akatswiri a masamu akuluakulu m'mbiri.

Mizere 20 pa Srinivasa Ramanujan mu Chingerezi

Srinivasa Ramanujan anali katswiri wa masamu waku India yemwe adathandizira kwambiri pakuwunika masamu, chiphunzitso cha manambala, ndi mndandanda wopandamalire. Amadziwika ndi luso lake lodabwitsa lopanga masamu ovuta komanso osadziwika kale. Mafomuwa akhala ofunika kwambiri pa masamu amakono. Nayi mizere 20 yokhudza Srinivasa Ramanujan:

1. Srinivasa Ramanujan anabadwira ku Erode, India mu 1887.
2. Anali ndi maphunziro ochepa chabe a masamu koma anasonyeza luso lodabwitsa la phunzirolo kuyambira ali wamng’ono.
3. Mu 1913, Ramanujan analembera kalata katswiri wa masamu wachingelezi GH Hardy ndipo anamutumizira zina mwa zimene anapeza pa masamu.
4. Hardy anachita chidwi ndi ntchito ya Ramanujan ndipo anamupempha kuti abwere ku England kudzagwira naye ntchito pa yunivesite ya Cambridge.
5. Ramanujan adathandizira kwambiri pakufufuza kwamitundu yosiyanasiyana yopanda malire komanso tizigawo topitilira.
6. Anapanganso njira zoyambira zowunikira zinthu zina zotsimikizika ndikugwiritsa ntchito chiphunzitso cha elliptic function.
7. Ramanujan anali waku India woyamba kusankhidwa kukhala membala wa Royal Society.
8. Analandira mphoto zingapo ndi ulemu pa moyo wake, kuphatikizapo Medali ya Royal Society ya Sylvester.
9. Ntchito ya Ramanujan yakhudza kwambiri masamu ndipo yalimbikitsa masamu ena ambiri.
10. Amadziwika chifukwa cha zopereka zake ku chiphunzitso cha ma modular mafomu, chiphunzitso cha manambala, ndi ntchito yogawa.
11. Chotsatira chodziwika bwino cha Ramanujan ndi njira ya Hardy-Ramanujan asymptotic ya kuchuluka kwa njira zogawira nambala yabwino.
12. Anathandizanso kwambiri pophunzira manambala a Bernoulli ndi kugawa ziwerengero zazikulu.
13. Ntchito ya Ramanujan pa mndandanda wopanda malire idathandizira kukonza njira zowunikira zamakono.
14. Iye amadziwika kuti ndi mmodzi mwa akatswiri a masamu aakulu kwambiri m’mbiri yonse ya anthu ndipo walimbikitsa anthu ambiri padziko lonse lapansi.
15. Moyo wa Ramanujan ndi ntchito zake zakhala mutu wa mabuku ndi mafilimu angapo, kuphatikiza "The Man Who Knew Infinity."
16. Ngakhale adachita zambiri, Ramanujan adakumana ndi zovuta pamoyo wake ndipo adavutika ndi thanzi.
17. Iye anamwalira ali wamng’ono wa zaka 32, koma ntchito yake ikupitirizabe kuphunziridwa ndi kuyamikiridwa ndi akatswiri a masamu lerolino.
18. Mu 2012, Boma la India lidatulutsa sitampu yolemekeza zomwe Ramanujan adapereka pa masamu.
19. Mu 2017, International Association of Mathematical Physics idakhazikitsa Mphotho ya Ramanujan mwaulemu wake.
20. Cholowa cha Ramanujan chikupitirizabe kupyolera muzinthu zambiri zomwe adathandizira pa masamu ndi chikoka chake chosatha pa masamu padziko lonse lapansi.