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15
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Upper bound of $S=\sum_{k=1}^{P}k!\binom{P}{k}\binom{Q}{k}$

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#combinatorics #summation #binomial-coefficients #combinations
60
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Question about proof with sums

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#summation
71
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Question about proof with geometric sums

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#summation #proof-writing
608
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Combination of quadratic and cubic series

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#calculus #sequences-and-series #algebra-precalculus #summation #exponentiation
1.1k
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Calculate $\frac{1}{5^1}+\frac{3}{5^3}+\frac{5}{5^5}+\frac{7}{5^7}+\frac{9}{5^9}+\cdots$

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#calculus #sequences-and-series #algebra-precalculus #summation #problem-solving
111
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find a $B_{n,j}$ such that $|A_{n,j}-L_j| \leq B_{n,j}$ $\forall n,j$ and $\sum_{j=0}^{\infty}B_{n,j}$ converges

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#real-analysis #sequences-and-series #analysis #summation
3k
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Intuitive ways to get formula of cubic sum

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#sequences-and-series #algebra-precalculus #summation
620
Views

Sum of nth powers and generalized polynomial sum

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#sequences-and-series #combinatorics #polynomials #summation #induction
42
Views

Question about written proof for geometric summation

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#summation #proof-writing
46
Views

Question about partial sum

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#summation
62
Views

a question on sum of q_binomials

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#summation #hypergeometric-function #q-series
216
Views

Matrix Inversion Test ( Sum of Matrix series)

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#linear-algebra #sequences-and-series #matrices #summation #power-series
296
Views

Ordered partitions of an integer (with a twist)

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#combinatorics #summation #binomial-coefficients
57
Views

Rank of a simple matrix series

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#linear-algebra #matrices #summation #matrix-equations #matrix-rank
2.8k
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A closed form of $\sum_{k=1}^\infty\frac{(-1)^{k+1}}{k!}\Gamma^2\left(\frac{k}{2}\right)$

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#calculus #sequences-and-series #summation #factorial #gamma-function

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