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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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Are there any mathematical approaches/words for describing "modularity" as an attribute of a system?

I don't know how to ask this question, so I need some help. System I don't mean any formal mathematical definition of a system. By system, I mean something like a computer network, AI neural network, the brain, the human body, a machine or factory…
rcgardne
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What is a simple(non-compound) proposition(sentence/assertion) which is true called?

This might be too basic a question to ask. I tried to find the term for this, I couldn't find one. What is the term for a proposition which is $True$, like the following: $3 > 2$ $10 + 1 = 11$ $-3 \in \mathbb{Z}$ I've learned that the term…
Smart Humanism
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The relation of GCD and capacity?

I saw some books call GCD(Greatest Common Divisor) capacity. Why call it this name? or it's just a name without further learning value? capacity in wiki, related with measure, however there is no content of "GCD" within it. one understanding: GCD is…
HyperGroups
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Can a sequence be self-similar?

Consider this sequence: $(...,1,1,1,\overbrace{1,0,0}^\prime,1,0,0,0,0,0,0,0,0,1,0,0,\overbrace{0,0,0,,....,0,0,0, \;}^{24} 1,0,0,0,0,0,0,0,0,...)$ Let us partition this sequence into ordered subsequences of three elements starting with the three…
Chris
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What is the name of the set $\mathbb{B}=\{0,1\}$?

I'm not very familiar with the notation of this set. I just saw it in some slides on internet but I do not know how it is named (binary set or Boolean set maybe?), let alone a book reference. Can anyone give me a help? Edit: Please, do not suggest…
Rubem Pacelli
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What is the name of two commutative squares?

How do you refer two commutative squares sharing one side as follows?
Ma Ming
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Terminology for "support"-like word meaning subset of a function's domain not mapped to its argument, i.e., $f(x)\neq x$, not the identity.

As per title, is there a word/terminology for the subset of a function's domain that it doesn't map to its argument, i.e., for $f:\mathbb{R\to R}$, define $\mbox{not_identity}(f)=\left\{x\in\mathbb{R}\middle|f(x)\neq x\right\}$. Is there specific…
John Forkosh
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Terminology: What is the term for a 'dummy solution' that is used temporarily to solve for the actual solution.

Sometimes in math, a 'dummy solution' like some dummy variable is used in place of some equation needing to be solved, for example. The equation may be solved for this 'dummy solution', and then that solution can be used to ascertain the general…
Mike
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About the phrase "combinatorial characterization"

What does the phrase "combinatorial characterization" mean? Does it mean "discrete", regardless of topological concepts? I don't know, I would appreciate your kind answer. For example, a subshift is a subset $X\subset A^G$ closed and invariant, but…
Mike Sanz
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Variant of the Travelling Salesman Problem (TSP) where distances do not matter?

Suppose you have $4$ cities $1, 2, 3$ and $4$. You want to find all ways to go from $1$ to $4$ such as $1=4$, $1=2-2=4$, $1=3-3=4$, $1=3-3=2-2=4$ and $1=2-2=3-3=4$. Distances between cities do not matter. What is the name of this TSP variant where I…
hhh
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Terminology: Isomorphism to mean bijection

All my textbooks have never mentioned "isomorphism" to mean bijection, and they explicitly specified "bijection" or "bijective functions". Today, I faced this person who said they were taught "isomorphism" to mean bijection, and it is common usage…
Abastro
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Is there a term to describe math problems that have multiple steps?

Sometimes, a math question may have multiple steps to it. For example: In this 3 examples, the question is asking the person to solve multiple steps in the problem. It's not like a traditional math problem of this type, where there are only two…
big_smile
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Is it "Noetherianess" or "Noetherianity"?

I wonder what the correct noun for the adjective "Noetherian" is. Should I say "By Noetherianess of $R$, the ideal $I\subseteq R$ can be generated by finitely many elements." or "By Noetherianity of $R$, the ideal $I\subseteq R$ can be generated by…
Luvath
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Given an a variable or equation how do I say that I raise (aribitrary variable name) by both sides of an equation?

Exponentiation is a mathematical operation, written as $b^n$, involving two numbers, the base b and the exponent or power n, and pronounced as "b raised to the power of n". So when I have an equation like $x=3$ and transform it to $x^c=3^c$ I would…
tempdev nova
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Is the terminology "Strict special case" used?

In mathematics the word "strict" is often used, for example in "strictly convex", "strictly stronger", "strictly increasing". For example, consider two statements: $f(x)=x^2+b$ $f(x)=x^a+b$. "1" is strictly stronger than "2". Can we say that "1"…
High GPA
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