# Tagged Questions

Use the convention tag for questions about standard, cultural practices in mathematics.

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### Category of topological pairs

Is there a standard abbreviation for the category of topological pairs? I have searched for it in vain.
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### Normalization of Orthogonal Polynomials?

The generalized Rodrigues formula (Hassani, Mathematical Physics, p. 174) is of the form $$p_n=K_n\frac{1}{w}\left(\frac{d}{dx}\right)^n(wp^n)$$ The constant $K_n$ is seemingly chosen completely ...
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### Why is $m$ used as the variable for slope in slope-intercept form?

I was wondering if you could answer a question I have on slope intercept form of a linear equation. I know its $y=mx+b$, but why is it $mx+b$? Don't get me wrong. I know that $m$ is the slope and $b$ ...
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### What is a vector with a single non-zero component called?

What do you call a vector with a single component, e.g. $[a, 0, ..., 0]$ or $[0, b, 0, ..., 0]$, where $a, b$ are any non-zero number? I'd like the language to differentiate from a vector with ...
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### Value expressions

What is the value of the expression: $\sum_{k=0}^{d}b^{k}\left[\begin{array}{c} d\\ k \end{array}\right]\prod_{i=0}^{k-1}\left(c-b^{i}\right)$ for $k = 0$? In particular, what is then the value ...