Sum of powers
It states that for all integers n and k greater than 1, if the sum of n kth powers of positive integers is itself a kth power, then n is greater than or ... ,由 EW Weisstein 著作 · 2002 · 被引用 8 次 — General power sums arise commonly in statistics. For example, k-statistics are most commonly defined in terms of power sums. Power sums are related to ... , ,由 LES Coen 著作 · 1996 · 被引用 7 次 — Around 1615, Faulhaber derived the general formulas for the sums of powers of natural numbers (EdA2]: the sum of n integers to the r-th power is equal to a ... ,and (by eliminating n from these) it is easy to find a polynomial relation between ne. 02 - -. 1996]. SUMS OF POWERS OF INTEGERS. ,If our positive integer power is m, then we are to find a formula for the sum 1m+2m+3m+⋯+nmorn∑k=1km. Form a binomial having as its first term a literal ... ,Students often encounter formulas for sums of powers of the first n positive integers as examples of statements that can be proved using the Principle of ... ,In the same letters, Fermat gave two hints about sums of powers of integers. First, he wrote the following formula for the sum of the fourth powers of ... ,Formulas for sums of integer powers were first given in generalizable form in the West by Thomas Harriot (c. 1560-1621) of England. At about the same time, ...
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 Sum of powers 相關參考資料
Euler's sum of powers conjecture - Wikipedia
It states that for all integers n and k greater than 1, if the sum of n kth powers of positive integers is itself a kth power, then n is greater than or ... https://en.wikipedia.org Power Sum -- from Wolfram MathWorld
由 EW Weisstein 著作 · 2002 · 被引用 8 次 — General power sums arise commonly in statistics. For example, k-statistics are most commonly defined in terms of power sums. Power sums are related to ... https://mathworld.wolfram.com Sums of powers - Wikipedia
https://en.wikipedia.org Sums of Powers and the Bernoulli Numbers - The Keep ...
由 LES Coen 著作 · 1996 · 被引用 7 次 — Around 1615, Faulhaber derived the general formulas for the sums of powers of natural numbers (EdA2]: the sum of n integers to the r-th power is equal to a ... https://thekeep.eiu.edu Sums of Powers of Integers
and (by eliminating n from these) it is easy to find a polynomial relation between ne. 02 - -. 1996]. SUMS OF POWERS OF INTEGERS. https://www.maa.org Sums of Powers of Positive Integers - Blaise Pascal (1623 ...
If our positive integer power is m, then we are to find a formula for the sum 1m+2m+3m+⋯+nmorn∑k=1km. Form a binomial having as its first term a literal ... https://www.maa.org Sums of Powers of Positive Integers - Introduction ...
Students often encounter formulas for sums of powers of the first n positive integers as examples of statements that can be proved using the Principle of ... https://www.maa.org Sums of Powers of Positive Integers - Pierre de Fermat (1601 ...
In the same letters, Fermat gave two hints about sums of powers of integers. First, he wrote the following formula for the sum of the fourth powers of ... https://www.maa.org Sums of Powers of Positive Integers | Mathematical ...
Formulas for sums of integer powers were first given in generalizable form in the West by Thomas Harriot (c. 1560-1621) of England. At about the same time, ... https://www.maa.org |