Difference between revisions of "User talk:PaoloMartini"
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PaoloMartini (talk | contribs) |
PaoloMartini (talk | contribs) |
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− | <math>\sum_{i=0}^n a_i |
+ | <math>p(x) = \sum_{i=0}^n a_i x^i, a_n \neq 0 </math> |
− | <math> |
+ | <math>p(x) = a_n x^n + \sum_{i=0}^{n-1} a_i x^i </math> |
+ | |||
+ | <math>p(x-1) = a_n (x-1)^n + \sum_{i=0}^{n-1} a_i (x-1)^i </math> |
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+ | |||
+ | <math>(x-1)^n = \sum_{k=0}^n {n \choose k} x^{n-k} (-1)^k </math> |
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+ | |||
+ | <math>p(x-1) = a_n \sum_{k=0}^n {n \choose k} x^{n-k} (-1)^k + \sum_{i=0}^{n-1} a_i (x-1)^i </math> |
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+ | |||
+ | <math>p(x-1) = a_n x^n + a_n \sum_{k=1}^n {n \choose k} x^{n-k} (-1)^k + \sum_{i=0}^{n-1} a_i (x-1)^i </math> |
Revision as of 20:14, 15 September 2006