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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.

Before asking a question on the site, please check if you can find your answer in Earliest Uses of Various Mathematical Symbols or the book A History of Mathematical Notations.

Alternatively, a textbook or paper usually takes the time to explain the notation they're using; please remember to mention where you've seen the notation you are asking about.

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Notation for infinite sums with finitely many non-zero summands

Is there a standard notation for infinite sums $ \sum_{\nu} a_{\nu} $ having all but finitely many zero summands? I remember to have seen somewhere the notation $ \sum'_{\nu} a_{\nu} $ (adding an apostrophe as a superscript to the sum symbol), but I…
suitangi
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Concatenation of Tuples

I'm currently writing something where I need to concatenate tuples. To be more precise, I need to split tuples. I have a tuple $\phi$ of $n$ elements and want to split it into 3 consecutive parts $r$, $s$, and $t$. In uni, the professors would've…
UTF-8
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How to write a set that is a function using set notation

I want to define (defining it as set) that $F$ is an arbitrary function from $X$ to $Y$ so I could use expressions like $(x,y)\in F$. This is what I have managed to write: $$F = \left\{ (x,y) \mid x\in X, y\in Y \right\}$$ What I struggle is to…
Džuris
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What is $\mathtt{7.6923077e+13}$ in pure numbers?

I don't know how to convert $\mathtt{7.6923077e+13}$ into pure numbers without $\mathtt{e+}$.
Ninja Emerald Potato
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What is this symbol? `\eth`

I was reading a LateX document about different symbols and found one called \eth: $\eth$. Or very similar \dh It's supposed to be a mathematical symbol, what does it mean? It looks like a partial derivative but with a strike on it.
skan
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Notation - Odd and Even Cases in one

Consider the function $$\begin{cases} \displaystyle\sum_{r=0}^{2\mu}f(r)(-1)^r\qquad \text{for even $\mu$}\\ \displaystyle\sum_{r=0}^{2\mu}f(r)(-1)^{r+1}\qquad \text{for odd $\mu$}\\\end{cases}$$ Is there a neat notation where the two expressions…
Hypergeometricx
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Help with notation (primality testing and factorization course)

What are the terms $\mathbb{F}_p$, $\mathbb{F}_q$and $\mathbb{F}[x]$? I know it has something to do with fields but not really sure
user7416
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Sigma question: is it legal to write something like this?

Is this mathematical syntax correct? $$\sum_{n+1}^m\sin(n-2) $$ As you see, the starting value is $n+1$ instead of being just purely one variable.
Maria
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How can you enumerate all prime factors of a number in a set

If you want to enumerate all elements of the following set: All $x$ that are prime factors of the number 3528. If you just write $$ A = \{2, 2, 2, 3, 3, 7, 7\} $$ it is not correct because each element should be unique. How can you solve…
Wolfgang Adamec
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How to denote a very small number $\epsilon$

I'm adding a small number $\epsilon$ to a denominator for numerical stability. Is it correct to introduce it as $\epsilon \ll 1$? In fact, it should be close to zero, not just (much) smaller than 1. What's the best way to describe a small number…
Lisa
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when to use $\mathbb{R}$ notation

I am in the midst of some writing for school work and couldn't find when is it appropriate to specify the membership of a function. For example, is it appropriate to specify the angular velocity of a rigid body, $\mathbf{\omega} \in \mathbb{R}^3$,…
zap
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Notation for "this set converted to that set"

I have elements $\{c_0, c_1\}$ from one input set, and elements $\{c_2, c_3\}$ from another input set. Each input can be in any order, and both inputs together (through some function) produce output which is any permutation of the input element of…
tetris11
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How to read Scientific notaions?

My question is short and not very hard. is 2.203226E0>0.0059867? In other words, can anyone tell me how to convert 2.203226E0 into a float without integer side?
lonesome
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MIGRATED FROM PHYSICS SE: Alternative notation for $\left(\frac{\partial f}{\partial x}\right)_y$

THIS QUESTION WAS MIGRATED PROM PHYSICS SE, SO THE ANSWERS MAY NOT BE APPLICABLE TO MATHEMATICS $\left(\frac{\partial f}{\partial x}\right)_y$ means to differentiate $f(x,y)$ with respect to $x$, while holding $y$ constant. Would it be possible to…
Frank Vel
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Set builder notation problem

What is the set builder notation for the following two: a) The set of all binary strings of even length and ending with 1. b) L* has exactly one more element than L. I am totally puzzled by these two. Could someone show me the solution to these two…
Tommy
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