Mathematics Stack Exchange
Mathematics Stack Exchange

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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Preferred Coordinate Notation

Let's say I have a point A in $\mathbb{R}^2$. Should I write its coordinates as $(x_a, y_a)$, or $(a_x, a_y)$? Sometimes I see something like $(a,b)$, but if I had a triangle with vertices A, B and C, it seems like it would get confusing. I'm also…
Callum Rodgers
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What is a decimal point with an "m" above it?

I'm familiar with some of the different conventions used in different parts of the world to separate integer parts from fractional parts: a dot ($.$) in the English-speaking world, a comma ($,$) in continental Europe, a different kind of comma-like…
Rain
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$A \neq B \neq C$ implies are all different?

Where $A$, $B$ and $C$ are sets. My doubt is if the notation includes the case $A \neq C$.
smallset
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Formal notation for $(1, 2), ..., (1,n), (2, 3), ..., (2,n), …, (n-1,n)$?

I’m writing an algorithm that needs to be put in formal notation. It takes two inputs and iterates over: $(1, 2), (1, 3), (1, 4), ..., (1,n)$, then $(2, 3), (2, 4), (2, 5), ..., (2,n),$ then $(3, 4) (3, 5), (3, 6), ... (3,$n$),$ … and all the way…
Russ Johnson
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Name of Mathsyntax 12 4 / result: 3

I'm searching the name of a math syntax printed similar to this: term: 3 4 + result: 7 term: 12 3 / result: 4 the operator is at the end of the term Thanks in advance
Khinsu
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What does “e$00$” mean?

I came upon a $\,-\!\log(p\!-\!\text{value})$ or $\,5.86\text e00$. I know that eXX indicates $10^{XX}$, but how should I interpret e$00$ ? Is it then $5.86\cdot10^0=5.86\cdot1$ ? Any help interpreting would be very helpful!
Astronome
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Repeating digits notation (e.g. 77777777)

Is there a better way to write a number like 777777777777777? or 11111111? Like a function f(3,7) meaning the digit 3 seven times: 3,333,333
isedgar
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Is there any popular notation or name for a set having only elements 0 and 1?

A binary variable is very well used in many engineering problems. Suppose that we need to introduce some variables that indicate whether a computer is being used by a customer or not. Then, we may express it as $x_i\in\{0,1\}$ for computer $i$. If…
Danny_Kim
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What notation do you use to round up/down within a sorted set?

For a recursive equation I am working on, I need the ability to describe rounding up/down to the nearest value within an ordered set. For instance, let S = $\{ 5x \mid x \in Z \}$. Now suppose I want to represent rounding up from $7.3$ to the…
Ryan Pierce Williams
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When should I use $=$ and when should I use $\iff$?

Is there some rule as to when I should use $=$ and when I should use $\iff$? For me, it seems like they are used interchangeably. If so, what is "best practice"?
Tomas R
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Should notation be introduced within a proof?

I am currently drafting a paper and there are some bits of notation that I need for the proofs, but not to state any of the results. I am debating whether I should I introduce these bits of notation before the results and the proofs, or within the…
EoDmnFOr3q
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Math notation for the $x$ that minimizes $f(x)$ while keeping $f(x)$ above $t$.

I want to say: The $x$ that minimizes $f(x)$ while keeping $f(x)$ above $t$. I know I can write "the $x$ that minimizes $f(x)$" like this: $x = \arg\min_x f(x)$. How would I complete that to say "while keeping $f(x)$ above $t$"?
ak321
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What do $x\in (1,5)$ and $x\in [1,5]$ mean?

Simple question, is there any difference between $x\in (1,5)$, $x\in [1,5]$ and $x\in (1,5]$? and what is the value of $x$ in those cases? Thank you.
ryan chandra
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Notation: Should the product of two fractions have a dot between them?

There seem to be two reasonable ways to express the product of two fractions with involved numerators and denominators. The first is: $$\frac{K_M}{K_M^2+BR}\frac{\omega_n^2}{s^2+2\zeta\omega_n s+\omega_n^2}$$ The second is with a dot such as LaTeX's…
Rico Picone
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How to denote $\underbrace{(1+n(1+n(1+\cdots)))}_{x-1 \text{times}}$ in a single expression?

I learnt that, $$ n + n^2 + n^3 + n^4 +. . . + n^x = n\underbrace{(1+n(1+n(1+\cdots)))}_{x-1 \text{times}} $$ So,I want to denote RHS in a single expression.
Vishnu
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