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Az egész együtthatós polinomok Q és Z feletti felbontásainak kapcsolatáról szóló tétel bizonyítása. (Az SZTE matematika alapszak Algebra és számelmélet (MBNK13) kurzusához házi feladat.)

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#maths #russian #homework

In this paper, we derive and prove, by means of Binomial theorem and Faulhaber's formula, the following identity between $m$-order polynomials in \(T\) \(\sum_{k=1}^{\ell}\sum_{j=0}^m A_{m,j}k^j(T-k)^j=\sum_{k=0}^{m}(-1)^{m-k}U_m(\ell,k)\cdot T^k=T^{2m+1}, \ \ell=T\in\mathbb{N}.\)

về ứng dụng tích phân

Homework for IEOR 6613

Our goal is to derive a formula for the volume of n-dimensional balls in Rn.

Template for the final assignment report for the course MV013 Statistics for Computer Science taught at the Faculy of Informatics, Masaryk University, Brno.