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.

12848 questions
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Is $(\neg \exists m) (c_m < 0)$ correct way to express "There doesn't exist an $m$ that satisfies $c_m < 0$"

I have seen this two successive parenthesis notation in several books but I am still not sure if it is a correct way to express such a non-existence. I also couldn't be sure $\neg \exists$ is the correct way to express "there doesn't exist". Would…
Sinan
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Interval notation

I suspect there is a better way of expressing this: A point $p$ that is in an interval around a point $o$, the interval extends in both directions by a constant $c$. $o - c < p < o + c$ or $\left|p-o\right| < c$ I think it would be far more clear…
Morgoth
  • 219
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Mathematical symbol for "solution set of"

Is there a mathematical symbol for "solution set of"? ex: "$5 \in \text{[solution set of] } f$", or "$0 \notin \text{[solution set of] } g(x) =x^2+x-2$"
CoilKid
  • 133
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Notation for discrete interval

The interval between to numbers $[a,b]$ includes all the real numbers between and include $a$ and $b$. Is there a similar notation for a discrete interval, lets say for $\{a,a+1,a+2,\cdots,b-2, b-1, b\}$?
Frank Vel
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Double vertical bars

I've been reading the Wikipedia article on CSP (https://en.wikipedia.org/wiki/Common_spatial_pattern) and one of the first formulas there has double vertical bars in it. $$ {{w}}={\arg \max }_{{\mathbf {w}}}{\frac {\left\|{\mathbf …
MegaNightdude
  • 137
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Notation for any member of a set

Is there any notation that can represent any member of a particular set? For example, how could I say that I want any real number, or any imaginary number? I do know there is a symbol to denote "for all", $\forall \Re$, but I don't want that. I want…
ChemiCalChems
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Expansion of Summation

I'm confused about expanding the multivariate summation notations. It seems that following three equations are identical. However, I do not understand how these summation become equivalent statements. It will be helpful if any of you can provide…
pippp
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What does ~ mean in the context of DLM

As seen http://www.math.unm.edu/~ghuerta/tseries/dlmch2.pdf "For a Normal DLM, t ∼ N(0, Vt) and ωt ∼ N(0, Wt)." and Connection between the Kalman filter and the multivariate normal distribution " Consider at dynamic linear model where $$ \theta_{1}…
kpie
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Is there a standard way of distinguishing between scalars and vectors in handwritten notes?

In printed math texts, one can distinguish between scalar variable and vector variables because the vectors are in boldface. However, that doesn't seem to work as well when I take notes by hand. Is there an alternative standard for denoting vectors…
quanticle
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K Maximum Notation

Suppose I have an unordered set $U = \{u_1, u_2, u_3, ..., u_n\}$. What is the right notation for the $k$ $u_i \in U$ that maximizes $f: U \rightarrow \mathbb{R}$? I use this notation when $k=1$: $$ \textrm{argmax}_{u_i \in U} f(u_i)$$
Daniel
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Representing a nested loop in set notation

I am trying to represent a set of rules using set notation. Each rule has the following format: $i.l.T^{i}_{l}$ This is a small example showing what I would like to represent using an expression. If $S = \{i_{1},i_{2}\}$, $L^{i_{1}} = \{ l_{a},…
Niroshan
  • 111
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What is '+' in set notation

In set $T = \{(0+2)^{i+5}|\space i \in \mathbb{N}\}$, what is the meaning of the $(0+2)^{i+5}$?
James
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Notation of the set of all the numbers $y$ satisfying an equation $y= ax + b $ with $x \in \mathbb{Z}$

I want to know the notation of a set $\mathcal{S} $ containing all $y $ that satisfy an equation $y = ax + b$ with $x \in \mathbb{Z}$, for example $2x - 5$ or $\pi x + \frac {5}{2}\pi$. For instance, given the equation $y = 2x + 3$ ($x \in…
Kevin
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What numerical notation is this?

What type of numerical notation is this and how does it convert to regular notation? Example: 4.09383762e367
Collin Fitch
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Precedence of concatenation: Is $5/7y$ equal to $(5/7)\times y$ or $5/(7\times y)$?

Possible Duplicate: Do values attached to integers have implicit parentheses? What is 48÷2(9+3)? What is “multiplication by juxtaposition”? What is the precedence of the concatention operator when used for multiplication? If it's the same as…
user2469
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