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$\sum x_{k}=1$ then, what is the maximal value of $\sum x_{k}^{2}\sum kx_{k} $

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#inequality #summation
47
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Convergence of a summation

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#summation
326
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Unable to find the sum of a series

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#sequences-and-series #summation
2.9k
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Prove that the sum of harmonic series 1..n can be expressed as (n+1)H_n -n

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#discrete-mathematics #summation #harmonic-numbers
80
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How to to minimize a sum by changing summation order

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#summation #permutations #absolute-value
70
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What is the simplified of this summation?

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#sequences-and-series #algebra-precalculus #summation
596
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The sum of finite exponential series with a quadratic phase

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#summation #roots-of-unity #exponential-sum
2.2k
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How to solve integrals using series?

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#calculus #integration #sequences-and-series #summation #closed-form
2.2k
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Integral of $\sin(x)$ using power series.

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#calculus #integration #sequences-and-series #analysis #summation
1.4k
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An infinite exponential sum

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#sequences-and-series #summation #closed-form
222
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Limit of a finite sum

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#sequences-and-series #limits #convergence-divergence #summation
56
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Series for $(1-z)^{-\frac{1}{2}}$ and application?

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#sequences-and-series #summation #power-series
42
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Properties of digit functions for numbers in $[0,1]$

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#convergence-divergence #summation #rational-numbers #natural-numbers
120
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How to find $\sum_{k=1}^n k^k$?

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#summation
698
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Proving Euler Summation by Parts Without Using Integration by Parts

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#summation #self-learning #analytic-number-theory #alternative-proof

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