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How can I get a good approximation of $\sum_{s=1}^\infty x^s\ln(s)\ $?

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#calculus #summation #power-series #approximation
245
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Proving $\sum_{x=0}^{n-1} \cos\left(k +x{2\pi\over n}\right) =\sum_{x=0}^{n-1} \sin\left(k +x{2\pi\over n}\right) =0. $

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#linear-algebra #trigonometry #summation
48
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Study of functions and geometric series

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#convergence-divergence #summation #continuity
94
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Check if possible sum exists

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#number-theory #elementary-number-theory #summation #algorithms
59
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Choose $n$ elements from a set where their summand equals $S$

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#combinatorics #summation
144
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Sum of first $n$ triangle numbers, without induction

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#summation
63
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Question about the $\ln$ of a product of primes

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#summation #prime-numbers #logarithms
180
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Can sigma notation have a fractional stop point?

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#discrete-mathematics #summation #notation
1.4k
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Interpreting summation with fractional part?

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#summation #notation
30
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Choose $n$ elements from a set where their summand equals $S$

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#summation #combinatorics
575
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Probability that sum of discrete random variables is smaller than other sum

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#probability #discrete-mathematics #summation #random-variables #density-function
2.4k
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Probability of sum of uniform variables

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#probability #summation #uniform-distribution
102
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Does this sum have any meaning?

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#summation
287
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Limit to infinity of a Sum

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#calculus #limits #summation
158
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Notation for Linear Algebra

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#linear-algebra #summation #notation

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