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128
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Inequation of an sum smaller than 1

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#inequality #summation #exponential-sum
284
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Proving AM-GM via $n \cdot (a_1^n + a_2^n + \dots + a_n^n) \ge (a_1^{n-1} + a_2^{n-1} + \dots + a_n^{n-1}) \cdot (a_1 + a_2 + \dots + a_n)$

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#inequality #summation #symmetric-polynomials #muirhead-inequality
150
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How prove this inequality $\frac{1}{n}\sum_{k=0}^{n-1}\binom{k}{a}\binom{k}{b}\le\frac{1}{a+b+1}\binom{n}{a}\binom{n}{b}$

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#inequality #summation #binomial-coefficients
33
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Need to get summation formula?

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#discrete-mathematics #summation
123
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Trouble understanding $\sum$ notation

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#notation #summation
48
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Numerical sum problem.

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#calculus #sequences-and-series #summation
165
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Possible Ways to reach a Sum

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#algorithms #summation #permutations
62
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$\sum^n_{i = n+1} 1$ is $0$ or underfined or identity element for the operation it's in?

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#summation
100
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Asymptotics of the sums $\sum\limits_{t=2}^{n+1} \frac{t(t-1) \cdot n!}{(n-t+1)!\cdot n^t}$

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#summation #asymptotics #approximation
256
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Summation of products of binomial coefficients

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#combinatorics #summation #binomial-coefficients
38
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Proving claims about sequences by induction?

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#sequences-and-series #discrete-mathematics #summation
88
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Summing gamma functions

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#calculus #sequences-and-series #summation #gamma-function
1.1k
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The sum $1!+2!+3!+...+2007!$ is not a perfect square

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#elementary-number-theory #summation #factorial
181
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Show $\large\sum\limits_{j=0}^{r}\binom{j+k-1}{k-1}=\binom{r+k}{k}$

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#combinatorics #summation #binomial-coefficients
71
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How to use the summation symbol correctly

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#summation

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