# Questions tagged [notation]

For questions about mathematical notation, i.e. the symbols used to represent mathematical objects and operations.

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### Notation for multidimensional sorting function

Given a matrix $X\in\mathbb{R}^{n \times m}$ I would like to denote a row ordering function $s:\mathbb{R}^{n \times m}\rightarrow \mathbb{R}^{n \times m}$, which sorts rows in ascending order by the ...
1 vote
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### Are there standard short notations for ascending and descending cyclic permutations?

In a paper I am currently writing I use cyclic permutations of the form $$(k,k+1,\dots,\ell)$$ and $$(\ell,\ell-1,\dots,k)$$ of consecutive elements quite a lot (I added the commas to avoid ...
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### Why is $H$ the standard notation for mean curvature?

I am curious about the origin of the notation $H$ to denote the mean curvature of a surface in $\mathbb{R}^{3}$. I suppose that the symbol $K$, which is commonly used to denote the Gaussian curvature, ...
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### What is the basis for the quantifier notation? [closed]

The symbols $\forall, \exists$ are the ones officially used to denote universal and existential quantifiers respectively. I understand that the choice of $\exists$ was made by Peano, while of $\forall$...
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### Who introduced the notation for $\beth$ numbers and when?

Georg Cantor, when developing the basics of set theory, noted that there are two ways to increase cardinality: power sets and successors (or, in modern terms, the Hartogs operation).1 Eventually the ...
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### What does the subscript 'x' of a matrix mean? [closed]

The 3x6 matrix G is as follows, $\text{G} = [\text{V}_\times| I_{3\times3}]$ $\text{V}$ is a skew matrix of a vector with 3 elements about a 3D point. The dimension of $\text{V}$ is 3x3. $I$ is the ...
1 vote
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### The meaning of $L_p^l(\Omega)$ in a paper of Bogovskii on Sobolev spaces

On the first page of the old paper Solution of the first boundary value problem for an equation of continuity of an incompressible medium of Bogovskii, the notations $W_p^l(\Omega)$ and $L_p^l(\Omega)$...
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### Typesetting of symbols and "operators" denoting sets [closed]

Question: what are the conventions for typesetting sets of certain objects, especially the vertices and edges of a graph or those adjacent to an edge or vertex. For vectors and matrices there is the ...
146 views

### Explanation of a formula to calculate the zenith distance of sun and moon [closed]

I am studying tidal accelerations and referring to a well known paper by I M Longman : Formulas for computing.." J Geophys Research 64 (12) Dec 1959. At Eq 12 he writes a term "1336.rev"...
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### Origin of the symbol for the tensor product

I have recently realised that the Paleo-Hebrew (and Phoenician) graph for the Hebrew letter ט (Teth) is $\otimes$. This made me wonder if there is any relation between the choice of the symbol and the ...
1 vote
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### Notation for the regular and the adjoint representation of a finite group, in particular the symmetric group

The (left) regular representation of a finite group $G$ is the action on itself by left multiplication, $g\cdot h = gh$. The adjoint representation of a finite group $G$ is the action on itself by ...
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### Why are fundamental weights denoted by omega?

In my field (and many others, I believe) the absolutely standard notation for the fundamental weights of a root system is lowercase omega: $\omega$. Recently I was taken aback to receive a copyedited ...
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### Question about the notation $N_{\chi}(\alpha, T)$, the number of zeroes of the $L(s, \chi)$ in a rectangle

I am confused with what seems to be a standard notation in analytic number theory and I'd appreciate any clarification. I am interested in the zero density estimates, for example link.springer.com/...
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### Terminology: Almost stable states

I have a question about fixed points which are almost stable. I have an increasing transition function $f:[0,1]\rightarrow[0,1]$ where $f(0)>0$ and $f(1)<1$ but I don't necessarily have ...
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### Examples of improved notation that impacted research?

The intention of this question is to find practical examples of improved mathematical notation that enabled actual progress in someone's research work. I am aware that there is a related post ...