On one property of the weighed sums of equal powers as matrix products

Abstract


Finite sum of weighted sum of equal powers is represented in matrix form. This is expressed by the presence of two matrix components, the first of which does not contain, and the second contains the specified weights. It is significant that if the maximum power grounds in the amounts of this type has a value of no less important exponent related to its term, the first matrix component is the same for all amounts that meet the specified condition. Revealed common property of the matrix representation used to obtain the modified final sum from the increased number of weights.

About the authors

Alexander I Nikonov

Samara State Technical University

Email: nikonovai@mail.ru
(д.т.н., проф.), профессор, каф. электронных систем и информационной безопасности; Самарский государственный технический университет; Samara State Technical University

References

  1. Никонов А. И. Преобразование суммы взвешенных степеней натуральных чисел с одинаковыми показателями// Вестн. Сам. гос. техн. ун-та. Сер. Физ.-мат. науки, 2010. - №1(20). - С. 258-262.
  2. Стренг Г. Линейная алгебра и её применения. - М.: Мир, 1980. - 456 с.

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