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  • ...h> multiplied by <math>27</math>, and <math>S_b</math> denotes the partial sums of <math>P_b</math> (in other words, <math>S_b = \sum_{n=1}^{b} P_b</math>)
    5 KB (813 words) - 05:10, 25 February 2024
  • Alternating sums also arise in other cases. For instance, the [[divisibility_rules|divisibi ...lso have the opposite sign as <math>(-1)^ka_k</math>, the last term of the partial series.
    2 KB (301 words) - 21:13, 19 February 2022
  • ===Sums, Products, Limits and Logarithms=== Note that we can use sums, products, and logarithms without _ or ^ modifiers.
    12 KB (1,798 words) - 20:55, 22 September 2024
  • ...ath> with coefficients in <math>R</math>." That is, it is the ring of all sums of the form ...ve ring <math>R</math>, one can define an <math>R</math>-linear map <math>\partial : R[x] \to R[x]</math> as follows:
    12 KB (2,010 words) - 23:10, 2 August 2020
  • === Proof 3 (Partial fractions) === Another method uses [[partial fractions]] and [[generating function]]s, though not much knowledge of each
    19 KB (3,412 words) - 13:57, 21 September 2022
  • ...erefore, since there are 10 values of <math>m</math> in the sum, this part sums to <math>10</math>. When the partial sums are added, we get <math>\boxed{059}\hspace{2 mm}QED\hspace{2 mm} \blacksqua
    3 KB (581 words) - 10:45, 22 May 2024
  • ...a) + f'(a)(x - a) + \frac{f''(a)(x-a)^2}{2} + \dots.</cmath> The [[partial sums]] of the Taylor series are the Taylor polynomials of <math>f(x)</math> abou ...series''' is the Taylor series chosen with <math>a = 0</math>. The partial sums of the Maclaurin series are the Maclaurin polynomials of <math>f(x)</math>
    7 KB (1,280 words) - 11:39, 9 December 2022
  • In mathematics, a telescoping series is a series whose partial sums eventually only have a finite number of terms after cancellation. This is o
    3 KB (558 words) - 15:37, 21 July 2024
  • ...sections never be able to exceed the sum of the outer surface areas of the partial spheres? ...<math>\mu=1</math> is the inner most sum, and <math>\mu>1</math> evaluates sums going outward. For what minimum value of <math>\mu</math> will the expressi
    4 KB (675 words) - 13:01, 28 May 2021
  • ...of the possible 256 combinations of +1 and -1 on the vertices none of the sums in the computer came out at either of those numbers. It is possible that t
    2 KB (284 words) - 08:40, 23 December 2023
  • Then, if <math>P_n=x_{1}^n+x_{2}^n+x_{3}^n</math>, [[Newton's Sums]] gives Note: If you don't know [[Newton's Sums]], you can also use [[Vieta's Formulas]] to bash.~[[Ddk001]]
    64 KB (10,594 words) - 21:50, 9 January 2025