Questions tagged [notation]
For questions about mathematical notation, i.e. the symbols used to represent mathematical objects and operations.
295 questions
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Writing an equation with cases when case description is long
This question seeks advice on what is common or at least acceptable in typing a certain inequality in a research paper.
I have an equality that looks like this:
\begin{equation*}
f_{a,b,c}(x)\leq
\...
13
votes
2
answers
676
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Earliest use of $\lesssim$ for inequality up to constants
When I was a graduate student, I was highly influenced by the work of Bourgain, particularly his 1991 paper
Bourgain, J., Besicovitch type maximal operators and applications to Fourier analysis, Geom. ...
1
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1
answer
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Notation in 5.6.3: General Sobolev Inequalities in Evans PDE book
I am currently reading Evans's PDE book. I reached section 5.6.3, General Sobolev Inequalities, which goes as follows:
THEOREM 6: (General Sobolev Inequalities).
Let $U$ be a bounded open subsetof $\...
3
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0
answers
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Unknown notation involving prime ideals of number fields
I'm reading the paper
R. R. Laxton, "On a problem of M. Ward," Fibonacci Quart., 12 pp. 41–44 (1974),
which can be downloaded for free from the Fibonacci Quarterly website: https://www.fq.math.ca/12-...
7
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2
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Conflicting notation for periods of elliptic functions
It seems that there is absolutely no general agreement on the notation
for the periods $\omega_1$ and $\omega_2$ of Weierstrass elliptic functions.
Even if Serge Lang's book on elliptic functions is ...
8
votes
1
answer
374
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Old notation: subsets (of the plane) denoted with capital E?
So I’m reading an old paper of Kinoshita, "A solution of a problem of R. Sikorski" (1953). The paper is very short and concerns a certain 0-dimensional nested triple of subsets of the plane. There are ...
15
votes
1
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Unknown classical notation
I was looking through Théotiste Lefevre's Guide pratique du compositeur et de l'imprimeur typographes, vol. 1 (1880), when I came across a symbol I didn't recognize. Does anyone know what this ...
2
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1
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366
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Best notation for tensor product with associativity
I want to express the product of a three-dimensional array by two one-dimensional vectors over some ring $R$:
$$r = A \cdot b \otimes c$$
where
$A \in R^{\ell \times m \times n}$
$b \in R^n$
$c \in R^...
0
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0
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Name for linear combinations of Chebyshev polynomials
The term "Chebyshev polynomial" is ambiguous in the sense that it can refer to one of the basis functions $T_n(x)$ when interpreted as linear combinations of monomials, or, to a linear ...
1
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1
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315
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Origin of the pattern of prime symbols in writing short exact sequences
In many sources that discuss short exact sequences, there is a curious notational convention to write them with the following pattern of prime symbols:
$0ドル\to M'\to M\to M''\to 0 ,円 .$$
That is, the ...
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0
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Is there a good or commonly accepted short notation for the set of differentiable, but not necessarily continuously differentiable maps?
Every once in a while I find myself in need of some short notation for the set of differentiable, but not continuously differentiable maps, say, $X \to Y$. Always having to specify "...
0
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1
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135
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What is the standard notation for bilinear, biquadratic, etc... spaces?
A typical notation for the polynomials of degree $k$ is $P_k$. The space $P_k$ is considered well-suited for interpolation on simplices, although that is hard to put into practice in full generality.
...
5
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0
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Why $f^\lambda$ in the hook-length formula?
This is my first question on this site so I apologize if it’s not adequate for it.
I just learned the hook-length formula for the number $f^\lambda$ of Standard Young Tableaux of shape $\lambda$:
$$f^\...
6
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1
answer
241
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Does $\mathsf{SVC}^\ast$ exist?
$\mathsf{SVC}(S)$ is the assertion that for all sets $X$ there is an ordinal $\eta$ and a surjection $f\colon\eta\times S\to X$. I would like to denote by $\mathsf{SVC}^\ast(S)$ the same assertion but ...
4
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1
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304
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Notation for weak derivatives
I remember that, as a student, I felt a bit uncomfortable because I had to use the same notation (say $f',ドル $D^\alpha f,ドル $\frac{\partial f}{\partial x^j},ドル $\nabla \cdot f$ etc...) for classical and ...