Ulandelelwano lwamanani: ingqiqo, iimpawu kunye neendlela umsebenzi

ulandelelwano lwamanani kunye umda yayo enye yeengxaki ezibaluleke kakhulu kwimathematika kuyo yonke imbali kwale nzululwazi. zihlaziywa rhoqo ulwazi, eyila theorems ezintsha kunye nobungqina - konke oku kuvumela ukuba siqwalasele le ngcamango kwizikhundla ezitsha kunye ezahlukeneyo engile.

ulandelelwano lwamanani, ngokuhambelana nenye iingqinisekiso iqhelekileyo umsebenzi lweMathematika zicwangciswe ngokungqinelana ipateni ethile egama kwisiseko luluhlu lweenombolo zendalo,.

Lo msebenzi kuthathwa ezithile, ukuba uyazi umthetho, njengoko apho wonke inani yendalo Ungakwazi ukucacisa inani lokoqobo ngokucacileyo.

Kukho iinketho ezininzi ekudaleni ulandelelwano lwamanani.

Okokuqala, lo msebenzi zingacwangciswa ekuthiwa-ndlela 'Kucacile ", xa kukho indlela ethile apho ilungu ngalinye nje ufake inombolo ukulandelelana ngokulandelelana ukuba uzimisele.

Indlela yesibini ubizwa ngokuba "rekkurentnogo". kubume bayo usendleleni yokuba sinikwa ngokwemigqaliselo zokuqala ezimbalwa ngolandelelwano lwamanani, kwakunye formula rekkurentnaya ikhethekileyo apho, esazi ilungu langaphambili, unako ukufumana enye elandelayo.

Okokugqibela, le ndlela iqhelekileyo ukuseta ulandelelwano na ekuthiwa "indlela olusebenzisa inethiwekhi", xa kunokwenzeka kuphela ukukhangela ilungu elithile inani elithile yesiriyeli lula, kodwa ukwazi embalwa amalungu ezilandelelanayo kuza wokubala jikelele msebenzi.

Ulandelelwano wokwamanani inokuba ukwanda okanye ukuhla. Kwimeko yokuqala, elowo akamsukela ngamalungu ayo lingaphantsi kwe kowangaphambili, kwaye eyesibini - phezu koko, ngakumbi.

Ujonge le ndaba, asinako ukujongana umbuzo malunga imida ye landelanisa. Nciphisa inani ulandelelwano kuthiwa xa ikhona, kubandakanywa ixabiso ngamabona elincinane, kukho inani ulandelelwano, emva koko nokuphambukiswa ngokoMthetho ezilandelelanayo ngokulandelelana ukusuka kwindawo enikwe kwifom yamanani iba ngaphantsi kwexabiso iseti naxa kusenziwa lo msebenzi.

Ingcamango yokuba ebonakalayo ukunciphisa ulandelelwano lwamanani asetyenziswa ngexesha elinye okanye elinye ubhalo ezifunekayo kunye umehluko.

Oku kulungisiweyo Mathematical ilifa lonke ebekwe iipropati ngokwaneleyo umdla.

Okokuqala, naluphi ulandelelwano lwamanani ngumzekelo komsebenzi zezibalo, ngoko, le mihlaba ukuba uphawu imisebenzi nga ngokukhuselekileyo isicelo landelanisa. Owona mzekelo iphawulekayo propati kukubonelela yokwanda kunye nokunciphisa series arithmetic, ezo kudityaniswe ingqiqo jikelele enye - ulandelelwano monotonic.

Okwesibini, kukho iqela olude elikhulu ulandelelwano ukuba akukho sezandleni ukuba ukwanda okanye ukuhla, - kube ngokulandelelana ngamaxesha athile. Kwimathematika, ukuba zithathwa ukuba umsebenzi apho kukho ekuthiwa ubude xesha, oko kukuthi, ukusuka kwindawo ethile (n) iqala ukusebenza le y equation ilandelayo _n = y _{n + T,} apho T kwaye iya kuba ubude xesha linye.