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Results tagged with notation
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user 4600
For questions about mathematical notation, i.e. the symbols used to represent mathematical objects and operations.
4
votes
A question about some notation involving the exclamation mark
Yes, it is an alternative notation for argmin. Related discussion here.
It seems similar to the notation $\exists ! …
- 24.8k
3
votes
Is the notation ${}^t g$ for the transpose of a linear transformation intended to be suggest...
$$^t(g^n)=(^tg)^n$$
for $n=-1$ (inverse), $n=2$ (squaring), ... so we can just write
$$^tg^n$$
- 24.8k
2
votes
Accepted
Stochastic Process Notation
$U(X)$ just means the stochastic process at a random time $X$. So you have two different random things, the stochastic process (collection of random variables) $\{U(t)\}$, and the random time $X$ pick …
- 24.8k
43
votes
Suggestions for good notation
On the other hand, if there is a lot of notation replacing "$X$" this is not so good:
$$\mathbf 1_{n_k\in \{n: n\text{ prime}\}}.$$ …
6
votes
What is the term for combining functions $f_1,f_2,\dots,f_n$ into a tuple $(f_1,\dots,f_n)$?
You could call
$$\mathbf r(t)=\langle x(t), y(t), z(t)\rangle$$
the vector function (or vector?) of $(x,y,z)$.
- 24.8k
1
vote
Formula for the Ordinal Number of k-Sets of Positive Integers
Regarding the second question: $[\mathbb{N}]^k$ is common.
- 24.8k
4
votes
Accepted
Was $\Sigma x$ used as quantifier?
According to Wikipedia,
Charles Sanders Peirce used $\Pi_x$, $\Sigma_x$ in 1885;
Guiseppe Peano used (x), $(\exists x)$ in 1897;
Gentzen introduced $\forall x$ in 1935;
$(\forall x)$, $(\exists x)$ …
- 24.8k
4
votes
Name and notation for a binary operation
$ x +^{-1} y $ seems like a good notation in that $x^{-1}+^{-1} y^{-1}=(x+y)^{-1} $, and
$$
\frac{1}{x}\frac{1}{+}\frac{1}{y} = \frac{1}{x+y}
$$
(is this the "Freshman's Dream" in another incarnation?) …
- 24.8k