Lub hom phiaj ntawm ib qho kev sib npaug Diophantine yog daws rau txhua qhov tsis paub txog qhov teeb meem Thaum Diophantus Diophantus Diophantus yog tus thawj Greek lej uas lees paub feem feem ua lej; yog li nws tso cai rau tus lej muaj txiaj ntsig zoo rau cov coefficients thiab cov kev daws teeb meem. Hauv kev siv niaj hnub no, Diophantine equations feem ntau yog algebraic equations nrog integer coefficients, uas yog nrhiav cov kev daws teeb meem. https://en.wikipedia.org › wiki › Diophantus
Diophantus - Wikipedia
nraug 2 tug los tsis paub, nws yuav sim sau tag nrho cov tsis paub hais txog ib leeg xwb.
Diophantine equation yog dab tsi?
Diophantine equation, sib npaug involving only sums, products, and powers in which all the constants are integers and the only solutions of interests are integers . Piv txwv li, 3x + 7y=1 lossis x2 − y2=z3, qhov twg x, y, thiab z yog cov lej.
Leej twg nrhiav tau diophantine sib npaug?
Kev kawm thawj zaug ntawm Diophantine sib npaug yog los ntawm nws lub npe Diophantus ntawm Alexandria, tus lej thib 3 uas kuj tau qhia cov cim rau hauv algebra.
Puas yog Diophantine equation solvable?
Piv txwv li, peb paub tias kab zauv Diophantine yog solvable.
Koj ua li cas daws cov kab sib npaug Diophantine nrog ob qhov sib txawv?
Linear Diophantine equation nyob rau hauv ob lub variables siv daim ntawv ntawm ax+by=c, qhov twg x, y∈Z thiab a, b, c yog integer constants. x thiab y yog cov tsis paub hloov pauv. Homogeneous Linear Diophantine equation (HLDE) yog ax+by=0, x, y∈Z. Nco ntsoov tias x=0 thiab y=0 yog ib qho kev daws, hu ua qhov kev daws teeb meem tsis tseem ceeb rau qhov sib npaug no.
