KumiswaIsayensi

Lokungeniswa indlela

lokungeniswa indlela kungenziwa ulinganiswa intuthuko. Ngakho, kusukela ezingeni aphansi, abacwaningi ngosizo ukucabanga okunengqondo bathuthela ephakeme. Noma yimuphi umuntu self-ukuhlonipha njalo ukulwela intuthuko kanye likhono lekucabanga ngalokuhlelekile. Yingakho imvelo wadala ukucabanga exhasa.

Igama elithi "lokungeniswa" ihunyushwa izindlela Russian isiqondiso, ngakho lo inductance kubhekwa okwatholakala ekuqaliseni ucwaningo oluthile nokubona, okuyinto etholakala ngokwakha kusukela ngokukhethekile jikelele.

Isibonelo kungenzeka ucabanga kwelanga. Qaphelisisani lesi simanga izinsuku eziningana zilandelana, kungashiwo ukuthi empumalanga ilanga lizophuma nakusasa nangosuku emva kusasa, njll

iziphetho Inductive kukhona esetshenziswa kabanzi futhi isicelo wesayensi zokuhlola. Ngakho, ngosizo kubo singakwazi ukusungula amalungiselelo ngesisekelo okuyinto usuvele usebenzisa indlela deductive iziphetho okwengeziwe kungenziwa shi. Ngokukhulu ukuzethemba ezinye singatjho ngesibindi ukuthi "izinsika ezintathu" ka Mechanics theory - imithetho Newton motion - kwabona umphumela ucwaningo ayimfihlo efingqa le ingqikithi. Futhi umthetho Kepler sika achaza ukuhamba kwamaplanethi wafakwa kubo ngesisekelo eside kugcinwa T. Brahe, isazi sezinkanyezi Danish. Kungenxa lezi zimo lokungeniswa odlale indima eqakathekileko ukucacisa futhi afingqe ezizathwini wenza.

Naphezu ukwelulwa ukusebenzisa kwayo indlela lokungeniswa zezibalo, ngeshwa, kuthatha isikhathi esincane e yezifundo zezikole. Nokho, ezweni lanamuhla kuba nesidingo ebuntwaneni ukufundisa isizukulwane esisha ukucabanga inductively, hhayi nje ukuba uxazulule izinkinga iphethini elithile, noma ifomula kusengaphambili.

lokungeniswa indlela kungenziwa kabanzi isicelo algebra, izibalo kanye geometry. Lezi zingxenye kumele kwenziwe ubufakazi iqiniso sesethi izinombolo, okuyinto incike eziguquguqukayo zemvelo.

Umgomo we lokungeniswa kusekelwe ubufakazi ubuqiniso inikeza A (n) kuwo wonke amanani we variable futhi siqukethe izinyathelo ezimbili:

1. kweqiniso umusho A (n) ubonakaliswa ngoba n = 1.

2. Esimweni lapho ibhidi A (n) izitolo semthethweni for n = k (k - inombolo zemvelo), kuyoba ngempela ukubaluleka esilandelayo n = k +1.

Lesi simiso futhi indlela yokwenza mat. lokungeniswa. Ngokuvamile, it is bangamukela njengomuntu Axiom ukuthi ichaza uchungechunge lwezinombolo, futhi isetshenziswa ngaphandle ubufakazi.

Kunezikhathi lapho indlela lokungeniswa, kwezinye izimo, kuncike ubufakazi. Ngakho, endabeni lapho kuyadingeka ukufakazela ubuqiniso isethi ezihlongozwayo A (n) kuzo zonke integers n, kumele:

- uhlole iqiniso isiphakamiso A (1);

- ukufakazela iqiniso ethi A (k +1) ngenkathi ethatha iqiniso A (k) ku-akhawunti.

Endabeni ka ubufakazi ngempumelelo ukuba semthethweni kulesi siphakamiso nganoma yisiphi omuhle inamba k yaziwa njengenye kweqiniso ibhidi A (n) kuwo wonke amanani n, ngokuhambisana nalesi simiso.

Indlela ngenhla lokungeniswa zezibalo kabanzi lisetshenziswe ubunikazi bonakaliso theorems, nokungalingani. Ingase futhi lisetshenziswe ukuxazulula isimo Jomethri ye imisebenzi kanye divisibility.

Nokho, akufanele sicabange ukuthi lokhu kuyaphela ukusetshenziswa indlela lokungeniswa mathematics. Ngokwesibonelo, lokho akusho ukuthi Ucwaningo ukuqinisekisa zonke theorems zibizwa esephetha kusukela axioms. Kodwa ngesikhathi esifanayo kulezi axioms ukuthi kungenzeka ukwenza inani elikhulu izimangalo. Leso sinqumo esikiselwa izitatimende ukusetshenziswa lokungeniswa. Nale ndlela, ungaba konke theorem kwi isayensi ezidingekayo futhi umkhuba, hhayi kakhulu.

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