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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Correct notation for "slice" of Integers

Say I want to have the set of all integers between any two given integers $a$ and $b$. For example, if I want the set of all integers between $-3$ and $7$ I would get: $$ \{-3,-2,-1,0,1,2,3,4,5,6,7\} $$ How would I go about writing this for any…
Disousa
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How to present set of point in mathematical way

I have a question about presenting the set of point in the math. I have two sets in domain $\Omega$. $M$ is set of $m$ point locations, $N$ is set of $n$ point locations. In which,some points in the set $M$ have same location with set $N$. I want to…
john2182
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how to express finite set of finite sequences

I want to define a finite set of finite sequences and they may have distinct cardinality. Is it correct to express this as follows: Let $S=\{x_{n_{i}}: n=0,1,...,m \quad \text{and} \quad i=0,1,...,n_i\}$ I mean for a fixed $n$ we have a sequence of…
user113715
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Sigma Notation For Indexing Over Non-Consecutive Integers

My Question: How do I know by which number to increase my adding from start to finish with Sigma As far as I have learned when using sigma with a rule from start and finish your number always increases by one. (I had a like situation with square…
Stephen Fratamico
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Why do I always seem unable to understand mathematical terminology?

As I ask more and more maths questions, the issue of terminology becomes ever greater for me. While I feel that my maths is progressing, and is in fact knowledge-wise beyond others people of my age, I appear to be unable to understand a lot of…
user2722083
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Exp lambda dot notation?

In a machine learning paper I'm reading, I came across the following notation: In our experiments we parameterize these potential functions as an exponential of a linear scoring function $\Phi(a_{i-1},a_i,\mathbf{x},\mathbf{y}) =…
fgregg
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What's the name of a function of the form $y(x;p) = p f(x) + (1-p) g(x)$?

Is there a name for a function of the form $y(x;p) = p f(x) + (1-p) g(x)$, where $p$ is some scalar between 0 and 1, and $f$ and $g$ are functions?
rhombidodecahedron
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How to interpret max(min(expression))??

I am reading this paper: ai.stanford.edu/~ang/papers/icml04-apprentice.pdf Step 2 of section 3 is to compute an expression of the form max(min(expr)). What does this mean? I made a simple example of such an expression and am equally puzzled as to…
capybaralet
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Can # be used to mean a repeating digit?

Is this an accepted way to represent larger repeated numbers: 4#40 + 3#25 = ? Is there a function for these maths?
Bob the Bee
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In this algorithm what is "b"?

I'm trying to take an algorithm from this page: Link and convert it to working code. The step-by-step is as follows: The following algorithm uses a similar (but slightly different) idea. It uses two internal integer variables, m and r, which are not…
Terrible
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Notation clarification: $|\cdot$

I'm trying to parse some notation in the following statement. Specifically, what does the "$|\cdot$" refer to? $\displaystyle\prod^{\tau^*}_{t=0} g_1(B(t)|\cdot)g_2(C(t)|\cdot)g_3(D(t)|\cdot)$ Where $g_1, g_2, g_3$ are the binomial transition…
Pengor
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How to write $\displaystyle \prod_{j=1}^n (1+x_j^2)$ with multi-index notation?

Can anyone explain me how to write the expression $\displaystyle \prod_{j=1}^n (1+x_j^2)$ where $x_j\in\mathbb R$ with multi-index notation. Thanks. Obs: I conjecture I can write this as $$\prod_{j=1}^n (1+x_j^2)=\sum_{\alpha\in \{0, 1\}^n}…
PtF
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Problem with Einstein summation notation

Well I've got a bit problem with ESN so let me introduce my problem : I have in my lesson the demonstration of this propriety without ESN : If $(x_i)_{1 \le i \le n}$ is an orthogonal familly, then $$ \left|\left| \sum_{i=1}^{n} x_i…
ParaH2
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What is the correct way to negate an upper bound expression?

Suppose we have a set $S$ that has an upper bound $a$. This means $\forall x\in S$ $\exists a$ s.t. $x \leq a$. The opposite of this is saying $a$ is not an upper bound of $S$. $\exists x \in S $ s.t. $a < x$ Is this correct? My understanding was…
user1068636
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