Imigca engama-20, i-100, i-150, i-200, i-300, i-400 kunye ne-500 ye-Word Isincoko kwi-Srinivasa Ramanujan ngesiNgesi kunye nesiHindi

100-Amagama Isincoko kwi Srinivasa Ramanujan ngesiNgesi

USrinivasa Ramanujan wayeyingcali yemathematika yaseIndiya eyenza igalelo elibalulekileyo kwicandelo lezibalo. Wazalwa ngo-1887 kwidolophana encinane eIndiya kwaye wabonisa ubuchule bokuqala kwizibalo. Nangona wayenemfundo emiselweyo elinganiselweyo, wafumanisa izinto ezisisiseko kwithiyori yamanani kwaye waqhubeka esebenza kwiingxaki zezibalo kubo bonke ubomi bakhe obufutshane. Umsebenzi kaRamanujan ube nempembelelo ehlala ihleli kwimathematika kwaye usafundelwa kwaye uyanconywa nanamhlanje. Uthathwa njengenye yeengcali zezibalo ezinkulu embalini kwaye ilifa lakhe liqhubeka ngenxa yeengcali zezibalo ezininzi eziphefumlelwe ngumsebenzi wakhe.

200 Word Essay on Srinivasa Ramanujan ngesiNgesi

Igalelo elikhulu kwimathematika ekuqaleni kwenkulungwane yama-20. Ugqalwa ngabaninzi njengengcali yezibalo ebalaseleyo embalini, phezu kwako nje ukuba wayengafundanga kangako ngalo mbandela.

URamanujan wazalwa ngowe-1887 e-Erode, idolophana yaseTamil Nadu, eIndiya. Nangona wazalelwa kwintlupheko, wabonisa ubuchule bendalo kwimathematika esemncinane kakhulu. Wazifundisa imathematika ephucukileyo ngokufunda iincwadi namaphepha ngesi sifundo, nangokusebenza eyedwa kwiingxaki zemathematika.

Igalelo elidumileyo likaRamanujan kwimathematika lalikwimimandla yethiyori yamanani kunye nothotho olungapheliyo. Waphuhlisa iindlela ezininzi zokuguqula iingxaki zokusombulula iingxaki zemathematika kwaye wafumanisa izinto ezininzi eziye zanempembelelo ehlala ihleli ebaleni.

Omnye weyona miba ichukumisayo yomsebenzi kaRamanujan kukuba wakwazi ukwenza igalelo elibalulekileyo kwimathematika nangona wayenemfundo encinane kakhulu kwesi sifundo. Italente yakhe kunye nokuthanda imathematika kwamvumela ukuba anqobe imida yemfundo yakhe kwaye enze igalelo elibalulekileyo kwintsimi.

URamanujan usweleke eneminyaka engama-32 ubudala, kodwa ilifa lakhe liqhubeka nomsebenzi wakhe kunye neengcali zezibalo ezininzi eziphefumlelwe bubuchule bakhe. Ukhunjulwa njengengcali yezibalo eyaba negalelo elikhulu entsimini. Ukwakhunjulwa njengenkuthazo kwabanye ekusenokwenzeka ukuba abazange balifumane ithuba lokufumana imfundo esesikweni kwimathematika.

300 Word Essay on Srinivasa Ramanujan ngesiNgesi

USrinivasa Ramanujan wayeyingcali yemathematika ekrelekrele eyenza igalelo elikhulu kwimathematika, nangona ejongene nemingeni emininzi kunye nezithintelo ebomini bakhe. Wazalwa ngo-1887 eIndiya, uRamanujan wabonisa ubuchule bendalo bezibalo kwasebuncinaneni bakhe. Wafumana imfundo elinganiselweyo, kodwa wayezifundise kwaye wachitha ixesha lakhe elininzi efunda iincwadi zezibalo nokusebenza kwezakhe izinto azifumanisayo kwizibalo.

Igalelo elikhulu likaRamanujan lalikwiindawo zethiyori yamanani kunye nothotho olungapheliyo. Wenza igalelo lobuvulindlela kuphononongo lokusasazwa kwamanani aphambili kwaye waphuhlisa ubuchule botshintsho lokubala uthotho olungenasiphelo. Uye wenza igalelo elibalulekileyo kufundo lweemodyuli zeemodyuli kunye neeequations zeemodyuli, kwaye waphuhlisa iindlela ezininzi ezisebenzayo zokuvavanya ii-integers ezichanekileyo.

Ngaphandle kwezinto ezininzi azifezileyo, uRamanujan wajongana nemiceli mngeni ebalulekileyo kumsebenzi wakhe. Kwakunzima ukufumana inkxaso yemali nokunconywa ngomsebenzi wakhe, yaye impilo yakhe yayinkenenkene. Ngaphandle kwale mingeni, uRamanujan wazingisa kwaye waqhubeka nokwenza igalelo elibalulekileyo kwimathematika.

Umsebenzi kaRamanujan ube nempembelelo ehlala ihleli kwicandelo lezibalo, kwaye ugqalwa njengenye yeengcali zezibalo ezibalaseleyo embalini. Igalelo lakhe liye laphembelela ezinye iingcali zezibalo yaye liye lanceda ekwenzeni uphando ngezibalo kwinkulungwane yama-20 neye-21. Ukuthathela ingqalelo igalelo lakhe, uRamanujan ufumene iimbasa ezininzi kunye nokuwongwa, kubandakanya nelona wonga liphezulu leRoyal Society, iRoyal Society's Copley Medal.

Ngokubanzi, ubomi kunye nomsebenzi kaSrinivasa Ramanujan busebenza njengenkuthazo kubo bonke abo banomdla kwizibalo kwaye bazimisele ukunyamezela ngaphandle kwemingeni abanokujongana nayo. Igalelo lakhe kwimathematika liya kuqhubeka likhunjulwa kwaye lifundwe kwizizukulwana ezizayo.

400 Word Essay on Srinivasa Ramanujan ngesiNgesi

USrinivasa Ramanujan wayengumchwephesha wezibalo waseIndiya owenza igalelo elibalulekileyo kuhlalutyo lwemathematika, ithiyori yamanani, kunye namaqhezu aqhubekayo. Wazalwa ngoDisemba 22, 1887, e-Erode, eIndiya, waza wakhulela kwintsapho engathathi ntweni. Ngaphandle kwesiqalo sakhe esithobekileyo, uRamanujan wabonisa ubuchule bendalo bezibalo kwasebuntwaneni kwaye wagqwesa kwizifundo zakhe.

Ngo-1911, uRamanujan wafumana inkxaso-mali yokufunda kwiYunivesithi yaseMadras, apho waphumelela emagqabini kwimathematika waza wathweswa isidanga kwizibalo ngo-1914. Emva kokuphumelela kwakhe isidanga, wasokola ukufumana umsebenzi waza ekugqibeleni waqalisa ukusebenza njengonobhala kwi-Accountant General’s. ofisi.

Ngaphandle kokungaqeqeshwa ngokusesikweni kwimathematika, uRamanujan uqhubeke nokufunda kwaye esebenza kwiingxaki zemathematika ngexesha lakhe lokuphumla. Ngowe-1913, waqalisa ukubhalelana nesazi sezibalo esiliNgesi uGH Hardy, owayechukumisekile bubuchule bezibalo bukaRamanujan waza wammema ukuba eze eNgilani ukuze aqhubeke nezifundo zakhe.

Ngo-1914, uRamanujan waya eNgilani waza waqalisa ukusebenza noHardy kwiYunivesithi yaseCambridge. Ngeli xesha, wenza igalelo elibalulekileyo kuhlalutyo lwemathematika kunye nethiyori yamanani, kubandakanya uphuhliso lwenkulumbuso yaseRamanujan kunye nomsebenzi weRamanujan theta.

Umsebenzi kaRamanujan waba nempembelelo enkulu kwizifundo zezibalo, yaye ugqalwa njengeyona ngcali yezibalo ebalaseleyo embalini. Umsebenzi wakhe ubeke isiseko sokufunda iifom zemodyuli, ezifanelekileyo kwisifundo se-elliptic curves kunye nezicelo kwi-cryptography kunye nethiyori yeentambo.

Ngaphandle kwezinto ezininzi aziphumezileyo, ubomi bukaRamanujan banqunyulwa bufutshane kukugula. Wabuyela eIndiya ngo-1919 waza wafa ngo-1920 esemncinane eneminyaka engama-32 ubudala. Nangona kunjalo, ilifa lakhe liqhubeka ngenxa yegalelo lakhe kwizibalo kunye neembeko ezininzi athe wazifumana. Ezi ziquka uMyalelo woBukhosi baseBritani kunye neMbasa yeSylvester yeRoyal Society.

Ibali likaRamanujan libubungqina bamandla okuzimisela nokuzinikela emsebenzini. Nangona ejongene nemingeni emininzi kunye nezithintelo, akazange ayeke ukuthanda imathematika kwaye waqhubeka esenza igalelo elikhulu kwintsimi. Umsebenzi wakhe uyaqhubeka nokuphembelela kunye nokuphembelela iingcali zezibalo kwihlabathi jikelele ukuza kuthi ga namhlanje.

500 Word Essay on Srinivasa Ramanujan ngesiNgesi

U-Srinivasa Ramanujan wayengumchwephesha wezibalo owenza igalelo elibalulekileyo kwiinkalo zokuhlalutya, ithiyori yamanani, kunye nochungechunge olungapheliyo. Wazalwa ngo-1887 e-Erode, eIndiya, uRamanujan wabonisa ubuchule bokuqala kwimathematika kwaye waqala ukuzifundela izihloko eziphambili esemncinane. Nangona wayenofikelelo oluncinane kwimfundo esesikweni, wakwazi ukuphuhlisa izakhono zakhe zemathematika ukusa kwinqanaba lokuba akwazi ukuzenzela izinto ezibalulekileyo ngokwakhe.

Elinye lawona mnikelo uphawuleka kaRamanujan yayingumsebenzi wakhe kwithiyori yokwahlulahlula, uluvo lwemathematika olubandakanya ukwahlula iiseti zibe ngamacandelo amancinci angadibaniyo. Wakwazi ukuphuhlisa indlela yokubala inani leendlela apho iseti inokwahlulwa. Le fomula ngoku yaziwa ngokuba ngumsebenzi wokwahlulahlula kweRamanujan. Lo msebenzi uncede ukuqhubela phambili ukuqonda kwethiyori yamanani kwaye ube nefuthe elibonakalayo ebaleni.

Ukongeza kumsebenzi wakhe wokwahlulahlula, uRamanujan wenze igalelo elibalulekileyo kufundo lothotho olungapheliyo kunye namaqhezu aqhubekayo. Ukwazile ukufumana inani leefomyula ezibalulekileyo kunye nethiyori, kubandakanywa isixa seRamanujan. Eli ligama lemathematika elisetyenziselwa ukubala isimbuku sodidi oluthile lothotho olungenasiphelo. Umsebenzi wakhe kuthotho olungenasiphelo uncede ekukhanyiseleni ngobume bezi zakhiwo zemathematika zintsonkothileyo kwaye ube nefuthe elihlala lihleli kwicandelo lemathematika.

Ngaphandle kwamagalelo akhe amaninzi kwizibalo, uRamanujan wajongana nemingeni emininzi ngexesha lomsebenzi wakhe. Omnye umqobo omkhulu yayikukuba wayengenakufikelela ngokupheleleyo kwimfundo yasesikolweni yaye ubukhulu becala wayezifundise ngokwakhe. Oku kwenza kwanzima ngaye ukufumana ukugqalwa kuluntu lwezibalo, yaye kwathabatha ixesha ukuze umsebenzi wakhe uxatyiswe ngokufanelekileyo.

Ngaphandle kwale mingeni, uRamanujan ekugqibeleni wakwazi ukufumana ingqalelo yezinye iingcali zezibalo eziphambili zexesha lakhe. Ngomnyaka we-1913, wafumana i-scholarship yokufunda kwiYunivesithi yaseCambridge, apho wayesebenza kunye nesazi sezibalo esaziwayo uGH Hardy. Bebonke, bakwazile ukungqina inani leethiyori ezingabalulekanga kwaye baphuhlise iikhonsepthi ezininzi zezibalo zantlandlolo.

Igalelo likaRamanujan kwimathematika libe nefuthe elihlala lihleli kwaye liyaqhubeka lifundwa kwaye libhiyozelwa kude kube namhlanje. Umsebenzi wakhe kuthotho olungenasiphelo, izahlulo, kunye namaqhezu aqhubekayo uye wanceda ekuqhubeleni phambili ukuqonda kwethu ezi ngqikelelo zemathematika zintsonkothileyo. Iye yabeka isiseko senkqubela phambili ebalulekileyo entsimini. Ngaphandle kwemiceli mngeni ajongene nayo, ukuzinikela kukaRamanujan kunye netalente yakhe imfumanele indawo njengenye yeengcali zezibalo ezihlonitshwayo embalini.

Umhlathi weSrinivasa Ramanujan ngesiNgesi

U-Srinivasa Ramanujan wayengumchwephesha weemathematika owenza igalelo elibalulekileyo kwiinkalo zokuhlalutya, ithiyori yamanani, kunye namaqhezu aqhubekayo. Wazalwa ngo-1887 eIndiya kwaye wabonisa ubuchule bokufunda imathematika kwasebuncinaneni bakhe. Nangona wayengenakufumana imfundo esemthethweni, uRamanujan waphuhlisa izakhono zakhe zemathematika ngokuzifundela waza wapapasha iphepha lakhe lokuqala lophando eneminyaka eyi-17. Ngo-1913, waqatshelwa yingcali yezibalo yesiNgesi uGH Hardy. Wamema ukuba afunde kwiYunivesithi yaseCambridge kwaye wenza igalelo kwithiyori yamanani. Amanani. Wavelisa iindlela ezisebenzayo zokusombulula iingxaki zemathematika. Kwakhona wapapasha amaphepha amaninzi athetha ngamaqhezu. Umsebenzi kaRamanujan ube nefuthe elihlala lihleli kwimathematika kwaye uthathwa njengenye yeengcali zezibalo ezibalaseleyo kwimbali.

Imigca engama-20 kwiSrinivasa Ramanujan ngesiNgesi

USrinivasa Ramanujan wayeyingcali yezibalo yaseIndiya eyenza igalelo elibalulekileyo kuhlalutyo lwemathematika, ithiyori yamanani, kunye nochungechunge olungenasiphelo. Waziwa ngamandla akhe aphantse angummangaliso okuza neefomula zemathematika ezintsonkothileyo nezingaziwayo ngaphambili. Ezi fomyula ziye zabonakala zibaluleke kakhulu kwimathematika yanamhlanje. Nantsi imigca engama-20 malunga neSrinivasa Ramanujan:

1. USrinivasa Ramanujan wazalelwa e-Erode, eIndiya ngo-1887.
2. Wayenemfundo emiselweyo kuphela kwimathematika kodwa wabonisa isakhono esingaqhelekanga kweso sifundo kwasebuntwaneni.
3. Ngo-1913, uRamanujan wabhalela isazi sezibalo esiNgesi uGH Hardy waza wamthumelela ezinye zezinto azifumanisayo kwizibalo.
4. UHardy wachukumiseka ngumsebenzi kaRamanujan waza wammema ukuba eze eNgilani ukuze asebenze naye kwiYunivesithi yaseCambridge.
5. URamanujan wenze igalelo elibalulekileyo kuphononongo loluhlu olungapheliyo kunye namaqhezu aqhubekayo.
6. Ukwaphuhlise iindlela zoqobo zokuvavanya izihlanganisi ezithile eziqinisekileyo kwaye wasebenza kwithiyori yemisebenzi eyi-elliptic.
7. URamanujan wayengumIndiya wokuqala ukunyulwa njengoMntu woMbutho wasebukhosini.
8. Ufumene iimbasa ezininzi kunye neewonga ngexesha lobomi bakhe, kubandakanywa iMbasa yeRoyal Society's Sylvester.
9. Umsebenzi kaRamanujan ube nefuthe elingapheliyo kwimathematika kwaye uye waphefumlela ezinye iingcali zezibalo.
10. Uyaziwa ngamagalelo akhe kwithiyori yeemodyuli zeemodyuli, ithiyori yamanani, kunye nomsebenzi wokwahlula.
11. Esona siphumo sidumileyo sikaRamanujan yiHardy-Ramanujan asymptotic formula yenani leendlela zokwahlula inani elipheleleyo.
12. Kwakhona wenza igalelo elibalulekileyo ekufundweni kwamanani eBernoulli kunye nokusasazwa kwamanani aphezulu.
13. Umsebenzi kaRamanujan kuthotho olungenasiphelo wanceda ekuvuleni indlela yophuhliso lohlalutyo lwangoku.
14. Ugqalwa njengenye yeengcali zezibalo ezibalaseleyo embalini yaye uye waphefumlela abantu abaninzi ehlabathini lonke.
15. Ubomi kunye nomsebenzi kaRamanujan ibingumxholo weencwadi kunye neefilimu ezininzi, kubandakanya "Indoda Eyazi Ngokungapheliyo."
16. Ngaphandle kwezinto ezininzi aziphumezileyo, uRamanujan wajongana nemiceli mngeni ebalulekileyo kubomi bakhe bobuqu kwaye wasokola nempilo enkenenkene.
17. Wasweleka eneminyaka engama-32 ubudala, kodwa umsebenzi wakhe usaqhubeka ufundwa kwaye uthandwa ziingcali zezibalo namhlanje.
18. Ngo-2012, uRhulumente waseIndiya wakhupha isitampu sokuposa ukuhlonipha igalelo likaRamanujan kwizibalo.
19. Kwi-2017, i-International Association of Mathematics Physics yaseka ibhaso leRamanujan ngembeko yakhe.
20. Ilifa likaRamanujan liyaqhubeka ngenxa yamagalelo akhe amaninzi kwicandelo lemathematika kunye nempembelelo yakhe engapheliyo kwiingcali zezibalo kwihlabathi jikelele.