# Questions tagged [notation]

Questions on the meaning, history, and usage of mathematical symbols and notation. Please remember to mention where (book, paper, webpage, etc.) you encountered any mathematical notation you are asking about.

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### Why do we fix an extension of valuation of $K$ to $\overline{K}$?

Let $K$ be a valuation field. Let $v$ be a valuation of $K$.　Let $K_v$ be completion of $K$ at $v$. I often encounter an expression. Fix an extension of $v$ to $\overline{K}$, which serves to fixes ...
19 views

### Forcing lowercase in macros under MathJax [closed]

I have a bunch of manuscripts, where I used a collection of custom macros to enforce a bunch of notation by semantically describing my equations. A simple example would be ...
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1 vote
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### Wigner's Surmise delta function notation, which law of probability

I have three independent random variables, $x_1, x_2$ and $x_3$ with $x_1,x_2\cong N(0,1)$ and $x_3 \cong N(0, 1/2)$. I have $s:= \sqrt((x_1-x_2)^2 + 4x_3^2)$. How do I write down an integral for the ...
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### Proper notation of a nested square root - is there a notation akin to tetration which extends to roots

In the way in which $x^{x^{x^{x}}}$ can be written as $x$ tetrated to 4 is there such a method to writing $\sqrt[...\sqrt{2}]{2}$ extending out to the left.
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### Should $G\ncong H\times K$ if $G$ is indecomposable? [closed]

The following is taken from: Hungerford's Algebra $\color{Green}{Background:}$ $\textbf{Exercise 1:}$ A group $G$ is indecomposable if and only if $G\neq \langle e \rangle$ and $G\cong H\times K$ ...
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### Using and Rather than Implies

I am trying to understand the difference between and $\wedge$ and $\rightarrow$. Consider $$x=y\Longleftrightarrow \forall z(z\in x \ \rightarrow z \in y)$$ However, I think we can use and notation ...
1 vote
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### Graphical notation for easy visual operations on multivariate polynomials

Vector and matrix notation is an excellent graphical scheme for doing elementary operations on degree 1 multivariate equations. Adding one equation to another is made easy by ordering the variables ...
1 vote
66 views

### Is $k$ in $\textit{Ann}_R(x)=p^k R$ fixed?

The following is taken from $\textit{Module Theory An Approach to Linear Algebra}$ By: T.S.Blyth $\color{Green}{Background:}$ $\textbf{Exercise 4.1.}$An $R-$module $M$ is said to be $\textit{cyclic}$ ...
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1 vote
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### does linearly dependency or independency have a symbol?

whenever we talk about the concept, we always write "$\alpha_1,\alpha_2,\cdots,\alpha_r$ linearly independent" which is a really long line. it takes so much time to write and read. is there ...
46 views

### How to denote square uniquely in Euclidean $\mathbb{R}^2$?

I am eager to know how one can denote a square in the $\mathbb{R}^2$ Euclidean space. I mean I can write as $[\text{centre of square}, \text{dimension}]$ but how would I know its orientation then. Is ...