Questions tagged [products]

For questions about the evaluation of finite products, or their properties. For infinite ones, use "infinite-products" tag.

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In what framework is it okay to swap the derivative in a product within an integral? [Viscoelasticity]

Dear people with an affinity for math, I am just an engineer approaching the field of viscoelasticity. Currently, I would like to understand the derivation of the generalized Kelvin-Voigt material. It ...
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Expected number of rounds for a product of uniform random variables on $[1/2,3/2]$ to be for the first time below a given threshold

Starting with w=1, each time we multiply w by a number x sampled independently and uniformly from [1/2, 3/2] until it is smaller than a given value c. What's the expected number of rounds for this ...
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What spaces are homeomorphic to $\mathbb{Q}^\omega$ = $\mathbb{Q}^\mathbb{N}$ = $\mathbb{Q}^\infty$?

What spaces are homeomorphic to $\mathbb{Q}^\omega$ = $\mathbb{Q}^\mathbb{N}$ = $\mathbb{Q}^\infty$? (The space of all rational sequences, considered with the standard product topology). I have ...
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Does a distribution over $\mathbb{R}^n$ s.t. $\prod_{j}^n X_j \in \mathbb{N}_0$ exist?

This question was motivated by the fact that $\mathbb{E}[U] = \sum_{k=0}^{\infty} Pr[U > k]$ if $U \in \mathbb{N}_0$. The easiest use of this fact is to simply use a single random variable whose ...
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Term for the product of two axes?

I was searching for an unrelated factoid the other day and came across a term which was defined roughly to mean the product of quantities described by two axes. For example, in a distance vs time ...
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What is the use of product and co-product in category theory? What is special about categories closed under (finite) products and co-products?

What is the use of product and co-product in category theory? I am familiar with the categorial definition... A product of two objects $X_1$ and $X_2$ of a given category is a third object from which ...
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Closed form for $\prod_{j=1}^n\prod_{k=1}^{m_{j}-1} (x_j-kN^{-1})$
Let $n,N\in\mathbb{N}$ and $m_1,x_1,\ldots,m_n,x_n\in\mathbb{N}$. I'm trying to rewrite following expression $$\prod_{j=1}^n\prod_{k=0}^{m_{j}-1} (x_j-kN^{-1})$$ I am only interested in the summands ...