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15
102
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About a very interesting constant $g$.

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#summation #logarithms #conjectures #constants
73
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$\sum_{r =0}^m \frac{k.C(m,r).C(n,k)}{(r +k).C(m + n,r + k)}$ Is there a nice probability interpretation for this sum?

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#combinatorics #summation
538
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Non-commutative sum?

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#summation #numerical-methods #programming
477
Views

Basel problem, numerically

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#sequences-and-series #summation #numerical-methods #programming
73
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Convergence of $\sum_{k=1}^\infty p_k^{-z}$, $p$ is prime.

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#complex-analysis #convergence-divergence #summation #prime-numbers
2.3k
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How Are the Solutions for Finite Sums of Natural Numbers Derived?

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#number-theory #summation
43
Views

Simplifiying an equation

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#limits #summation
101
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Double sum, how to proceed?

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#summation #variance
1.6k
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Uniform convergence of $\sum e^{-xn^2}$

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#real-analysis #sequences-and-series #convergence-divergence #summation #uniform-convergence
87
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Prove the identity $ \sum\limits_{i=0}^{n} (-1)^{i} (a+2i) \binom{n}{i} \binom{a+n+i}{n+1}^{-1}=(n+1) \delta_{a,0}$

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#combinatorics #summation #hypergeometric-function
337
Views

Find the sum, the sum of the squares, and the sum of the cubes for the first $250$ natural numbers.

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#summation #arithmetic-progressions #geometric-series
195
Views

Computing the sum $\frac{1}{(\frac{1}{n}-p)^{2}}+\frac{1}{(\frac{2}{n}-p)^{2}}+\ldots+\frac{1}{(1-p)^{2}}$

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#probability #sequences-and-series #algebra-precalculus #summation #expectation
170
Views

How to find the sum of the following series from $n=0$ to $n=99$

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#combinatorics #summation
494
Views

Prove that $\sum_{k=0}^{n-1}\frac{n^{k-1}}{k!}(n-k)(n-k+1)=\frac{n^{n-1}}{(n-1)!}+\sum_{k=0}^{n-1}\frac{n^k}{k!}$

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#discrete-mathematics #summation
58
Views

Find the formula for $n*S_n$

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#sequences-and-series #summation

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