Formulaire De Mathématiques: T. I-V. 5

Cover Formulaire De Mathématiques: T. I-V. 5
Formulaire De Mathématiques: T. I-V. 5
Peano, Giuseppe, 1858-1932
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gredh-, S. gredhjati, R. gresti. •3 n£N 4 . /fe (qFq)integro . gradu /*<£ n . as (qF0" - n)sim . xeq-a'O—n . c = faJII[(a r — a s )\s, 0— n-*r] |r .3. {fx)in[(x~a) \r,0r~n] = $cj(x-al | r,0-n] Dem. Hyp .3 /= Interp[/; (0— m)] . P38-3 3 P ' Nos considéra tunctione rationale, quotiente de duo functione integro in a?. Denominatore es producto de factores (av- oJ(ar— a,)...(dP— a J ubi a ot a l9 ...a„ es n+1 quantitates distincto. Numeratore es de gradu inferiore ad denominatore. Valore a? es différente de va- lores a. Tune illo functione rationale vale summa c l(œ—aj + cj(x—aù + ... + cj(x—a n ), cum numeratores c , c„ ... constante. •4 neN, . /fe (qFq)integro . gradu/" =n .^. Radices/* = (q'Fl-n) * ci3\f= |(D n /b)/n! II[(x— a)\r, V~n] \ x, q\] Df Si n es numéro naturale, et f es functione integro de gradu n, tune « Radices /*» indica successione de n numéros imagi- nario a taie que, pro omni x> fx vale coefficiente de termine de gradu maximo, multiplicato per factores (x — a 4 )(,r — a^...(x — a n ).

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