I-Essay Yamagama Ayi-100 nge-Srinivasa Ramanujan ngesiNgisi
USrinivasa Ramanujan wayengumpetha wezibalo waseNdiya owaba neqhaza elikhulu emkhakheni wezibalo. Wazalwa ngo-1887 edolobhaneni elincane laseNdiya futhi wabonisa ukufaneleka kwasekuqaleni kwezibalo. Naphezu kokuba nemfundo elinganiselwe ehlelekile, wathola izinto eziyisisekelo embonweni wezinombolo futhi waqhubeka nokusebenza ezinkingeni zezibalo phakathi nokuphila kwakhe okufushane. Umsebenzi kaRamanujan ube nomthelela ohlala njalo emkhakheni wezibalo futhi usafundwa futhi uyathakaselwa nanamuhla. Uthathwa njengomunye wezazi zezibalo ezinkulu emlandweni futhi ifa lakhe liqhubeka ngochwepheshe bezibalo abaningi abagqugquzelwe umsebenzi wakhe.
200 Word Essay on Srinivasa Ramanujan ngesiNgisi
Igalelo elibalulekile emkhakheni wezibalo ekuqaleni kwekhulu lama-20. Abaningi bambheka njengesazi sezibalo esikhulu kunazo zonke emlandweni, naphezu kweqiniso lokuthi wayenemfundo encane kakhulu kule ndaba.
URamanujan wazalwa ngo-1887 e-Erode, idolobhana laseTamil Nadu, eNdiya. Naphezu kokuzalelwa ebumpofu, wabonisa ukufaneleka okungokwemvelo kwezibalo esemncane kakhulu. Wazifundisa izibalo ezithuthukile ngokufunda izincwadi namaphepha ngalesi sihloko, nangokusebenza ngezinkinga zezibalo eyedwa.
Iminikelo edume kakhulu kaRamanujan kwizibalo yayisemkhakheni wethiyori yezinombolo nochungechunge olungapheli. Wathuthukisa amasu amaningana okuguquguquka okuxazulula izinkinga zezibalo futhi wathola izinto eziningi ezidabukisayo ezibe nomthelela ohlala njalo ensimini.
Esinye sezici ezihlaba umxhwele kakhulu ngomsebenzi kaRamanujan ukuthi ukwazile ukubamba iqhaza elikhulu ezibalweni naphezu kokuba nemfundo encane kakhulu kulesi sifundo. Ithalente lakhe nothando lwakhe lwezibalo lwamvumela ukuthi anqobe ukulinganiselwa kwemfundo yakhe futhi enze igalelo elibalulekile kulo mkhakha.
URamanujan ushone esemncane eneminyaka engama-32, kepha ifa lakhe liyaqhubeka ngomsebenzi wakhe kanye nochwepheshe bezibalo abaningi abagqugquzelwe ubuhlakani bakhe. Ukhunjulwa njengesazi sezibalo esihlakaniphile esabamba iqhaza elikhulu kulo mkhakha. Ubuye akhunjulwe njengogqozi nakwabanye okungenzeka ukuthi abazange balithole ithuba lokuthola imfundo esemthethweni yezibalo.
300 Word Essay on Srinivasa Ramanujan ngesiNgisi
USrinivasa Ramanujan wayeyisazi sezibalo esihlakaniphile esenza igalelo elibalulekile emkhakheni wezibalo, naphezu kokubhekana nezinselele eziningi nezingqinamba empilweni yakhe. URamanujan wazalwa ngo-1887 eNdiya, wabonisa ukufaneleka kwezibalo kusukela esemncane. Wathola imfundo elinganiselwe, kodwa wayezifundisa futhi echitha isikhathi esiningi efunda izincwadi zezibalo futhi esebenza ezintweni azitholile zezibalo.
Iminikelo ebaluleke kakhulu kaRamanujan ibisezindabeni zethiyori yezinombolo nochungechunge olungapheli. Wenza iminikelo yokuphayona ocwaningweni lokusatshalaliswa kwezinombolo eziyinhloko futhi wathuthukisa amasu oguquko okubala uchungechunge olungapheli. Uphinde waba neqhaza elikhulu ekutadisheni amafomu e-modular kanye nezibalo ze-modular, futhi wenza izindlela ezimbalwa ezisebenzayo zokuhlola okubalulekile okubalulekile.
Naphezu kwezinto eziningi azifezile, uRamanujan ubhekane nezinselelo ezibalulekile emsebenzini wakhe. Wazabalaza ukuze athole ukusekelwa ngokwezimali nokuqashelwa ngomsebenzi wakhe, futhi waba nempilo ebuthaka ukuphila kwakhe konke. Naphezu kwalezi zinselele, uRamanujan uphikelele futhi waqhubeka nokuba negalelo elikhulu kwizibalo.
Umsebenzi kaRamanujan uye waba nomthelela ohlala njalo emkhakheni wezibalo, futhi ubhekwa njengesazi sezibalo esikhulu kunazo zonke emlandweni. Igalelo lakhe liye laba nomthelela kwezinye izazi zezibalo eziningi futhi liye lasiza ekulolongeni isiqondiso socwaningo lwezibalo ekhulwini lama-20 nelama-21. Ngokubona amagalelo akhe, uRamanujan uthole imiklomelo nezindondo eziningi, okuhlanganisa nokuhlonishwa okuphezulu kakhulu kweRoyal Society, iRoyal Society's Copley Medal.
Sekukonke, impilo nomsebenzi kaSrinivasa Ramanujan kusebenza njengesikhuthazo kubo bonke abathanda izibalo nabazimisele ngokukhuthazela naphezu kwezinselelo abangase babhekane nazo. Amagalelo akhe kwizibalo asazoqhubeka nokukhunjulwa futhi kufundwe nezizukulwane ngezizukulwane.
400 Word Essay on Srinivasa Ramanujan ngesiNgisi
U-Srinivasa Ramanujan wayenguchwepheshe wezibalo waseNdiya owaba neqhaza elikhulu ekuhlaziyeni izibalo, ithiyori yezinombolo, nezingxenyana eziqhubekayo. Wazalwa ngo-December 22, 1887, e-Erode, eNdiya, futhi wakhulela emkhayeni ompofu. Naphezu kwesiqalo sakhe esiphansi, uRamanujan wabonisa ulwazi olungokwemvelo lwezibalo kusukela esemncane futhi waphumelela kakhulu ezifundweni zakhe.
Ngo-1911, uRamanujan wathola umfundaze wokuyofunda eNyuvesi yaseMadras, lapho aphumelela khona kahle ezibalweni waphothula iziqu zezibalo ngo-1914. Ngemva kokuphothula iziqu, wathwala kanzima ukuze athole umsebenzi futhi wagcina eseqala ukusebenza njengomabhalane e-Accountant General's. ihhovisi.
Naphezu kokuntuleka kwakhe ukuqeqeshwa okusemthethweni kwezibalo, uRamanujan waqhubeka nokufunda nokusebenza ngezinkinga zezibalo ngesikhathi sakhe sokuphumula. Ngo-1913, waqala ukubhalelana nesazi sezibalo esiyiNgisi u-GH Hardy, owahlatshwa umxhwele amakhono kaRamanujan ezibalo futhi wammema ukuba eze eNgilandi ukuze aqhubeke nezifundo zakhe.
Ngo-1914, uRamanujan waya eNgilandi futhi waqala ukusebenza noHardy eNyuvesi yaseCambridge. Ngalesi sikhathi, wenze igalelo elibalulekile ekuhlaziyweni kwezibalo kanye nethiyori yezinombolo, okuhlanganisa ukuthuthukiswa kwe-Ramanujan prime kanye nomsebenzi we-Ramanujan theta.
Umsebenzi kaRamanujan waba nomthelela omkhulu emkhakheni wezibalo, futhi ubhekwa njengesazi sezibalo esikhulu kunazo zonke emlandweni. Umsebenzi wakhe wabeka izisekelo zokutadisha amafomu e-modular, abalulekile ocwaningweni lwamajika angama-elliptic futhi anezinhlelo zokusebenza ku-cryptography kanye nethiyori yezintambo.
Naphezu kwezinto eziningi azizuzile, impilo kaRamanujan yafinyezwa ukugula. Wabuyela e-India ngo-1919 futhi washona ngo-1920 esemncane eneminyaka engu-32. Nokho, ifa lakhe liqhubeka ngenxa yamagalelo akhe kwizibalo kanye nokuhlonishwa okuningi anikezwe kona. Lezi zihlanganisa i-Order of the British Empire kanye ne-Sylvester Medal yeRoyal Society.
Indaba kaRamanujan iwubufakazi bamandla okuzimisela nokuzinikela emsebenzini. Yize ebhekane nezinselelo eziningi nezingqinamba, akakaze ayeke ukuthanda izibalo waqhubeka nokuba negalelo elikhulu kulo mkhakha. Umsebenzi wakhe uyaqhubeka nokugqugquzela nokuba nomthelela ochwepheshe bezibalo emhlabeni wonke kuze kube namuhla.
500 Word Essay on Srinivasa Ramanujan ngesiNgisi
U-Srinivasa Ramanujan wayengumpetha wezibalo owenza igalelo elibalulekile emikhakheni yokuhlaziya, ithiyori yezinombolo, nochungechunge olungapheli. Wazalwa ngo-1887 e-Erode, e-India, uRamanujan wabonisa ukufaneleka kwezibalo futhi waqala ukuzifundela izihloko eziphambili esemncane. Naphezu kokufinyelela okulinganiselwe emfundweni ehlelekile, wakwazi ukuthuthukisa amakhono akhe ezibalo waze wakwazi ukuzitholela izinto ezibalulekile eyedwa.
Omunye weminikelo ephawuleka kakhulu kaRamanujan kwakuwumsebenzi wakhe wethiyori yokuhlukanisa, umqondo wezibalo ohlanganisa ukuhlukanisa isethi ibe amasethi amancane, angagqagqani. Ukwazile ukwenza ifomula yokubala inani lezindlela isethi engahlukaniswa ngayo. Le fomula manje seyaziwa ngokuthi umsebenzi wokuhlukanisa we-Ramanujan. Lo msebenzi usize ekuqhubekiseni phambili ukuqonda kwethiyori yezinombolo futhi ube nomthelela omkhulu kulo mkhakha.
Ngaphezu komsebenzi wakhe wokwahlukanisa, uRamanujan uphinde waba negalelo elikhulu ocwaningweni lochungechunge olungapheli kanye nezingxenyana eziqhubekayo. Ukwazile ukuthola inani lamafomula abalulekile namathiyori, okuhlanganisa nesamba seRamanujan. Lesi isisho sezibalo esisetshenziselwa ukubala isamba sohlobo oluthile lochungechunge olungapheli. Umsebenzi wakhe ochungechungeni olungapheli usize ekukhanyiseleni uhlobo lwalezi zakhiwo zezibalo eziyinkimbinkimbi futhi ube nomthelela ohlala njalo emkhakheni wezibalo.
Ngaphandle kwamagalelo akhe amaningi kwizibalo, uRamanujan wabhekana nezinselelo eziningi ngesikhathi somsebenzi wakhe. Esinye isithiyo esikhulu sasiwukuthi wayengakwazi ukufinyelela imfundo ehlelekile futhi ikakhulukazi wayezifundise yena. Lokhu kwenza kwaba nzima ngaye ukuthola ukuqashelwa emphakathini wezibalo, futhi kwathatha isikhathi ukuba umsebenzi wakhe waziwe ngendlela efanele.
Naphezu kwalezi zinselele, uRamanujan wagcina ekwazile ukunaka ezinye zezibalo ezihamba phambili zesikhathi sakhe. Ngo-1913, wathola umfundaze wokuyofunda eNyuvesi yaseCambridge, lapho asebenza khona nesazi sezibalo esidumile uGH Hardy. Ndawonye, bakwazi ukufakazela amathiyori amaningi angabalulekile futhi bathuthukise imiqondo embalwa yasekuqaleni yezibalo.
Amagalelo kaRamanujan kwizibalo abe nomthelela ohlala njalo futhi asaqhubeka nokufundwa nokubungazwa kuze kube yilolu suku. Umsebenzi wakhe ochungechungeni olungapheli, ukwahlukanisa, kanye nezingxenyana eziqhubekayo uye wasiza ekuqhubekiseni ukuqonda kwethu le miqondo eyinkimbinkimbi yezibalo. Senze isisekelo sentuthuko eminingi ebalulekile kulo mkhakha. Phezu kwezinselelo abhekane nazo, ukuzinikela nethalente likaRamanujan kumenze wathola indawo yokuba ngomunye wongoti bezibalo abahlonishwayo emlandweni.
Ipharagrafu ku-Srinivasa Ramanujan ngesiNgisi
U-Srinivasa Ramanujan wayengumpetha wezibalo owenza igalelo elibalulekile emikhakheni yokuhlaziya, ithiyori yezinombolo, nezingxenyana eziqhubekayo. Wazalwa ngo-1887 eNdiya futhi wabonisa ukufaneleka kwezibalo kusukela esemncane. Naphezu kokufinyelela okulinganiselwe emfundweni ehlelekile, uRamanujan wathuthukisa ikhono lakhe lezibalo ngokuzifundela futhi washicilela iphepha lakhe lokuqala lokucwaninga eneminyaka engu-17. Ngo-1913, waqashelwa isazi sezibalo saseNgilandi uGH Hardy. Wamema ukuthi ayofunda eNyuvesi yaseCambridge futhi wenza igalelo kumbono wezinombolo. Izinombolo. Wasungula izindlela eziphumelelayo zokuxazulula izinkinga zezibalo. Waphinde wanyathelisa amaphepha amaningana ngendaba yezingxenyana. Umsebenzi kaRamanujan ube nomthelela ohlala njalo kwizibalo futhi uthathwa njengesazi sezibalo esikhulu kunazo zonke emlandweni.
Imigqa engama-20 ku-Srinivasa Ramanujan ngesiNgisi
U-Srinivasa Ramanujan wayenguchwepheshe wezibalo waseNdiya owenza igalelo elibalulekile ekuhlaziyeni izibalo, ithiyori yezinombolo, nochungechunge olungapheli. Waziwa ngekhono lakhe elicishe liyisimangaliso lokuqhamuka namafomula ezibalo ayinkimbinkimbi futhi ayengaziwa ngaphambili. Lawa mafomula abonakale ebaluleke kakhulu ezibalweni zesimanje. Nansi imigqa engama-20 mayelana neSrinivasa Ramanujan:
- USrinivasa Ramanujan wazalelwa e-Erode, eNdiya ngo-1887.
- Wayenemfundo elinganiselwe kuphela yezibalo kodwa wabonisa ukufaneleka okungavamile kulesi sifundo kusukela esemncane.
- Ngo-1913, uRamanujan wabhalela isazi sezibalo esiyiNgisi u-GH Hardy futhi wamthumelela ezinye zezinto azitholile zezibalo.
- UHardy wahlatshwa umxhwele umsebenzi kaRamanujan futhi wammema ukuba eze eNgilandi azosebenza naye eNyuvesi yaseCambridge.
- U-Ramanujan wenze igalelo elibalulekile ocwaningweni lochungechunge olungapheli oluhlukene kanye nezingxenyana eziqhubekayo.
- Wabuye wasungula izindlela zangempela zokuhlola izihlanganisi ezithile eziqondile futhi wasebenzisa ithiyori yemisebenzi eyi-elliptic.
- URamanujan waba ngowokuqala waseNdiya ukukhethwa njengelunga leRoyal Society.
- Uthole imiklomelo eminingi kanye nokuhlonishwa ngesikhathi sokuphila kwakhe, okuhlanganisa ne-Royal Society's Sylvester Medal.
- Umsebenzi kaRamanujan ube nomthelela ohlala njalo kwizibalo futhi ukhuthaze abanye ongoti bezibalo abaningi.
- Waziwa ngamagalelo akhe kuthiyori yamafomu amamojula, ithiyori yezinombolo, nomsebenzi wokuhlukanisa.
- Umphumela odume kakhulu kaRamanujan uyifomula ye-Hardy-Ramanujan engabonakali yenombolo yezindlela zokuhlukanisa inombolo ephozithivu.
- Ubuye waba neqhaza elikhulu ekutadisheni izinombolo zeBernoulli kanye nokusatshalaliswa kwezinombolo eziyinhloko.
- Umsebenzi kaRamanujan ochungechungeni olungapheli usize ukuhlahla indlela yokuthuthukiswa kokuhlaziya kwesimanje.
- Ubhekwa njengomunye wezazi zezibalo ezinkulu emlandweni futhi uye wakhuthaza abantu abaningi emhlabeni jikelele.
- Impilo nomsebenzi kaRamanujan kube yisihloko sezincwadi namafilimu amaningana, okuhlanganisa nethi “The Man Who Know Infinity.”
- Naphezu kwezinto eziningi azizuzile, uRamanujan wabhekana nezinselelo ezibalulekile empilweni yakhe futhi washikashikana nempilo ebuthaka.
- Washona esemncane eneminyaka engu-32, kodwa umsebenzi wakhe usaqhubeka ufundwa futhi uthakaselwa ochwepheshe bezibalo namuhla.
- Ngo-2012, uHulumeni wase-India wakhipha isitembu sokuhlonipha amagalelo kaRamanujan kwizibalo.
- Ngo-2017, i-International Association of Mathematical Physics yasungula uMklomelo weRamanujan ngokumhlonipha.
- Ifa likaRamanujan liyaqhubeka ngenxa yamagalelo akhe amaningi emkhakheni wezibalo kanye nomthelela wakhe ongapheli kosozibalo emhlabeni jikelele.