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Questions tagged [terminology]

Questions on the usage and meaning of words in mathematics, the names for mathematical entities, and other such questions.

Terminology is a discipline that studies, among other things, the development of terms and their interrelationships. This tag is intended to be used for questions on the usage and meaning of words in mathematics, the names for mathematical entities, and other such questions.

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The difference of change of bases and change of basis

The difference of change of bases and change of basis is? A little question. Are they the same? At the bottom of the wiki's page, External links, you can see change of bases.
HyperGroups
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Correct terms to refer the implications $\implies$ and $\impliedby$ in a "if and only if" statement.

My writing a proof of a complex proposition of the type "$A \iff B$" for a paper. I want to close a block of argumentation with a sentence like "Which concludes the first implication". Here I am calling the "$\implies$" as the first implication, but…
Renato Fernandes
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Is there a special name for expressions of the form $(1+f(x))$ where $|f(x)|<1$?

I know that a binomial expression like $(1+x)$ with $|x|<1$, when raised to some power $p$ can be expressed as a Binomial Series as in Equation (1) here. PURPOSE: I am using expressions of the form $(1+f(x))^p$ (and their "binomial" expansions) in a…
steveOw
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Rigorous Vs. Formal

I am a new researcher in kinetic theory of gases, and I always see that the proofs are either formal or rigorous. Could anyone please clarify to me these descriptions? Thank you.
Marrie
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Term for a number that when added to another number equals 1

Is there a term for the relationship between some number and a number added to it that makes it equal one? i.e. $x + y = 1$, thus $y$ is the _________ of $x$. In the case I'm looking at, the numbers are the cross-ratio of $\left (…
Jenjenjude
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Name of different representation of Latitude and Longitude

There are two (at least) kinds of representation of Latitude and Longitude: when a value is represented in degrees, arc minutes and arc seconds (for example 12° 34' 56.78"); when a value is represented as integer and fractional parts of degrees…
Gluttton
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More precise way to talk about "a set of representatives"

If $G$ acts on $X$, then $X$ is the disjoint union of the distinct orbits. That is, one can write $$ X = \bigcup_{x\in R} orb_G(x) $$ where $R$ is a set of representatives, with one element from each orbit. It might just be me, but this feels a bit…
John Doe
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What does “unconfirmed or conditional” mean on this site?

On the home page of the “Bounded gaps between primes” polymath project, there are listed bounds for $H$ in Zhang's proof of prime gaps. For example: What does “unconfirmed or conditional” mean on this page and what is the difference between…
curiousamateur
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Is there an expression for when something happens except for a particular case?

In my language there is a mathematical expression for when a statement is true, except for a special subcase. It happens a lot in measure theory, for instance: A property $P$ is said to hold "almost everywhere" in $X$ if there exists a set $N\subset…
karlabos
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A question about terminology of repeating functions

Imagine some experimental data is repeating in $\left(0,T \right) , (\Delta t,\quad T+\Delta t) , \left( 2\Delta t,\quad T+2\Delta t \right), ... $. I can not say the data is periodic since $\Delta t
newzad
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Does Dividing by Zero Return All Numbers?

My understanding assumption is that division inverses multiplication. That may be incorrect or incomplete. I will copy the inversion from WolframMathworld $$a * b = c$$$$a = c \div b$$ Why is the result of dividing any number by zero not the set of…
UpTide
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What is the terminology used for equations that don't have the same tensor rank (order) on the LH and RH sides of the equation?

For example, in physics, if the dimensions of the term on the LHS of an equality do not match the dimensions of the RHS we say the equality is not dimensionally consistent. So, what do we say for equalities that do not have the same tensor rank…
Armadillo
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Does the base 32 numeral system have a name? (base 8 = octal, base 10 = decimal, base 16 = hexadecimal)

Apologies in advance if this is a silly question, but I was curious if the base 32 numeral system has a "name" in the same way that several other numeral systems do. Base 8: Octal Base 10: Decimal Base 16: Hexadecimal Base 32: ? I was unable to…
Hubro
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Is there a name for the function $f(a,b)=\max(a-b,0)$?

Is there any conventional (standard) terminology for the function $f(a,b)=\max(a-b,0)$? This function "caps" the value of $a-b$ with at least $0$.
bbbbbbbbb
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Does it make sense to consider an image to be a function?

I'm learning the Chapter 9.1 of the Deep Learning book. Per post Does $(x*w)$ denote the resulting composite function, given $*$ denotes the convolution operation?, I guess I could consider $I*K$ a composite function, which means that $I$ is a…
JakeMZ
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