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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.

8534 questions
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How do you call a set in which only some of the dimensions are bounded?

Let $\mathbf{X}=(x_1, \dots, x_n)$ be a set in $\mathbb{R}^n$ such that $L_i \leq x_i \leq U_i$ for several $\;i\;$ in $\{1, \dots, n\}$, which means that some of the dimensions of $X$ are bounded (but not all). Is there a specific name for that…
Vicent
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Is there a name for the function $e^{-\lvert\log x\rvert}$?

Consider the function $$f(x) = e^{-\lvert\log x\rvert} = \begin{cases} x & \text{ if } |x| \leq 1,\\ x^{-1} & \text{ otherwise} \end{cases}$$ This might appear in an argument of the following nature, for instance: Suppose that $\psi$ is a…
Daniel McLaury
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max or min symbol with plus minus under it

Can someone please help me out with what it means when a symbol says "max+-" or "min+-"? I'm assuming that there is no difference between "max+-" and "max", but please correct me if I'm wrong. I've never run across this symbol before. Here is an…
Wubbalubbadubdub
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What is the name of this mathematical (geometrical) object/notion?

Does the isosceles triangle in a cone, having as 'legs' the elements of the cone and as its base the diameter of the cone's circular base have its own name? I am talking about something like this:
bp99
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Terminology: generic word for increase and decrease

This is a really basic question. Consider a statement: A painted line is increased by length $x$ Can $x$ be a negative number just by the wording of the question? What would be a better way of rephrasing the question, to make it clear that $x$…
Jonathan.
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name for a certain action when exchanging numerator and denominator in an equation

In an equation $ 4 = \frac{32}{ 8}$ You can exchange the denominator on the right side with the numerator of the left side. $ 8 = \frac{32}{4}$ Is there a name for this action / process? Thanks a lot in advance
Wolfgang Adamec
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Does "order of magnitude" extend beyond base 10?

Usually when talking about orders of magnitude, we're talking about base 10, but Benford's law, which only works if the numbers are spanning multiple orders of magnitude, works well in any base where the length of the smallest and largest numbers…
Filip Haglund
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Terminological question - "majorization"

Dear English speaking mathematicians, will you understand me, if I say that a certain series is majorized by a certain sequence?
Serguei
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Name of the inequality $ a \ge b $ vs. $a \le b$

Suppose that you have an inequality $$ a \le b \tag{I}.$$ Does in English the inequality $$ a \ge b $$ has a special name? Can we say that it is the converse or reciprocal inequality vs. $(I)$?
mathcounterexamples.net
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The meaning of the term "write"

Sometimes, when I am reading mathematical writing, I will see something like "To prove this, write..." followed by some expressions. I am wondering what "write" means contexts like these, and when it is appropriate to use this term in a proof.
Bolton Bailey
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Do dependent variable essentially means the same thing as independent variable?

Or both of them are different things? PS- I've encountered it while reading this.
ankit
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name of the highest a number has to be in a numbering system before flipping to a second digit

Name of the highest a number a number has to be in a numbering system when incrementing before flipping it to a second digit and setting the previous digit to 0? In hex it's F (15), in decimal it's 9, octal it's 7, in binary it's 1. But what is it…
leeand00
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Terminology to refer to morphisms with the same target

Suppose I want to refer to morphisms that all have the same graph $G$ as their target. What is the appropriate terminology to refer to these kind of morphisms. "Morphisms with the same ending graph" Or "morphism with the same codomain". Any precise…
qartal
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Why does the "iff" wording for a biconditional imply a double implication?

Let's say our statement is "11x-7 is even if and only if x is odd." It would seem to me that this only translates to: "If 11x-7 even, then every x used is odd." Why does the "if and only if" wording of the statement also imply that a second…
IgnorantCuriosity
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What are the composed function components called?

The answer might be so trivial; nonetheless, I was wondering in the function composition such as: $k = f \circ g \circ s$, k is called the composed functions. What is the terminology to refer to f, g, and s?
qartal
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