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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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Terminology: function returning a partial order

Suppose I have a function $f : 2^\Omega \to 2^{\Omega \times \Omega}$ such that: $\forall S \subseteq \Omega$, $f(S)$ is a partial order on $S$. Is there a name for such a function? If not, how would you name it?
Petro Aldarri
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What do we call the state of being proper?

The set $\{1, 2\}$ is a proper subset of $\{1, 2, 3\}$. But $\{1, 2, 3\}$ itself is not. More generally, we might want to define a notion of "proper-ness" that derives from this basic notion of proper super- and subsets. For example, I might want to…
Hammerite
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Is there a word that means "theorem (in context), possibly with free variables"?

Suppose I write down some assumptions... $a < b$ $b < c$ ...and deduce some stuff... $a < c$ $a \neq c$ is there a word that covers both my assumptions, and the things I've deduced? For example, if my assumptions had no free variables, I'd feel…
goblin GONE
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If the solution dosen't exist, does it mean that problem is not well-posed?

A well-posed problem is defined as here. If that is so, then does it mean that the solution/s of any over-determined or under-determined system is NOT well-posed? Similarly, if the solution doesn't exist of any initial value or boundary value…
kaka
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What is the terminology for adding an offset a variable in an arithmetic expression

I'm having an issue at work where several of us are seemingly arguing over a naming convention in piece of software we're writing. Basically, suppose we have 3 variables $x, y, z$. $z$ is usually some nice even number like 1000. $x$ and $y$ are…
24n8
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Observed values are 1000 and 900. Is it technically correct to refer to the observed value of 90% as a 'probability'?

Given a coin whose probability of landing on heads was unknown. a guy tossed the coin 1000 times and he got 900 heads. Assuming that each successive coin flip is i.i.d, is it technically correct to refer to the observed value of 90% as…
singularli
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Question regarding meaning of an unspecified term

Hi I was trying to solve questions from this year's Sharygin Maths Olympiad and I came across a problem in which it was written that the three bisectors of the triangle meet at X. Now is the question trying to say bisectors as in angle bisectors or…
Adhvik
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What's the name of the set of expressions that share the same result?

Given a set of operations and a set of numbers and optionally other constraints, I want to know what the set of all mathematical expressions is called that have the same result. For example, given the integers 1 to 6, the operation addition, and the…
Xavi Montero
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Terminology for number of zeros in a vector

What is the mathematical terminology if I want to express the number of zeros (or non-zero) elements in a vector? There is a $l_0$ "norm" that counts non-zero elements of a vector in $\mathbb{R}^n$ $$\sum_{i=1}^{n}|x_i|^0$$ however it is a…
granular_bastard
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What is the name of the property $a*b/c=a/c*b$?

I know $a*b=b*a$ is called commutative, $a*(b*c) = (a*b)*c$ is associative. What about $a*b/c=a/c*b$?
Display Name
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What to call a rigorous theorem that is outlined and not stated rigorously in a funding proposal

I am adding more background for this question: I want to sketch the statement of a complicated and long theorem in the introduction part of a funding proposal, and later make reference to it, but not like applying it inside a proof, just referring…
Xiao
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What kind of transformation is space translation?

Translation of a point in space with position vector ${\vec r}$ by a fixed vector ${\vec a}$ leads to a new vector $$\vec{r}^\prime={\vec r}+{\vec a}$$ which, is not strictly a linear transformation because it does not send zero vector to zero…
Solidification
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What is the technical name for the first term of an ordered pair?

I'm writing some code that uses a class called Point. Point has 2 variables that are used either as $(x, y)$ or $(r, \theta)$. At first it annoyed me to have somewhat silly variables names like var1 and var2 to denote points that are either…
2Amateurs
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What's the proper name for the evaluation function?

What do we call the (proper-class) function $$\mathrm{eval}(*,*)$$ such that for all functions $g$ and all $x \in \mathrm{dom} \;g$ we have $\mathrm{eval}(g,x) = g(x)$ ? I looked up 'evaluation function' but it seems to be a concept in game theory…
goblin GONE
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Single word for describing some mathematical examples

My native language is not English. Thus I find nowhere other than this site to clarify my doubts. Single word for " Parallel forces having the same direction" Single word for " Parallel forces having opposite direction" Can I use "antiparallel"…
Angelo Mark
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