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Product of sums of all subsets mod $k$?

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#combinatorics #algorithms #modular-arithmetic #computational-complexity #products
72
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Simplify $\prod_{k=1}^{l} \sum_{r=d}^m {{m}\choose{r}} \left(N-k \right)^{r} k^{m-r+1}$

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#sequences-and-series #summation #products
253
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Can we give a categorical definition of product without using any sub/superscripts or cheating?

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#category-theory #products #categorical-logic
17.2k
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Is there an "inverted" dot product?

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#linear-algebra #abstract-algebra #vectors #terminology #products
1.3k
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About constant product

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#products #constants
170
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Finding a closed form for a simple product

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#closed-form #products
72
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For what value(s) of $a$ does the inequality $\prod_{i=0}^{a}(n-i) \geq a^{a+1}$ hold?

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#elementary-number-theory #closed-form #products
168
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Is there something like coproduct categories

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#category-theory #products
722
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Limit of Product of iid Random Variables

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#limits #statistics #probability-distributions #random-variables #products
77
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Approximating $\frac{\frac{N}{2}!\frac{N}{2}!}{(\frac{N}{2}-m)!(\frac{N}{2}+m)!}$ without using logs

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#exponential-function #factorial #products #approximation-theory
96
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Proving that for the iterative Richardson method : $r^{(k)} = \prod_{j=0}^{k-1} (I-a_jA)r^{(0)}$

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#reference-request #numerical-methods #numerical-linear-algebra #products
1.9k
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Product of sums as sum of products

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#linear-algebra #summation #products
77
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How do I show this :$\prod_{k=1}^n(ak+b)=a^n\frac{\Gamma\left(n+1+\frac{b}a\right)}{\Gamma\left(1+\frac{b}a\right)}$

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#gamma-function #products
2.9k
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How would I Write $n!$ in Product Notation

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#discrete-mathematics #notation #products
167
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How to prove the following identity using complex numbers?

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#trigonometry #complex-numbers #products #roots-of-unity

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