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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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Name of a tuple of a set and a function $(X,f)$ akin to "topological space" or "metric space".

Let $X$ be a set, $\tau$ a topology, $d$ a metric, and $f$ a function. Then we can construct a topological space $(X,\tau)$, where $\tau$ is a set of subsets of $X$. We can construct a metric space $(X,d)$ where $d$ is defined between each pair of…
Make42
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Help to understand the concept "Appendix" in articles

I read article Two Generalizations of Komlós' Theorem with Lower Closure-Type Applications by Erik J. Balder, on page 33 : I found the following sentence "(see Appendix B)" that I did not find the Appendix B part in the article and I did not…
Karim KHAN
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Properties on operators / functions

If $f(g(x)) = g(f(x))$ whats the name of the properties on $f$ and $g$
iluvAS
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What makes a conditional statement to be considered a theorem instead of a rule?

The background While reading a book on discrete mathematics (Discrete mathematics and its applications by Kenneth H. Rosen) on the topic of counting I found the following definitions: Extracted definition of the "product rule" from the mentioned…
gfe
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is there such a thing as an infinitely repeated digit in an integer

Is there such a thing as an infinitely repeated digit in an integer? Analogous to how there are repeating or recurring decimals. If there is what do you call them(if they indeed have a name)? If not why? For example, I mean numbers…
My mistake
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Name for monotone increasing then decreasing function?

Is there a term for a real function that first increases and then decreases? I used the term unimodal (ooops, originally wrote it as unimodular [that explains why I could not find anything searching the web]) to describe such functions, but I am not…
Sariel Har-Peled
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Differences between figures, numbers, and digits?

I was wondering if figure, number, digit and other similar words can be used interchangeably in mathematics? What are the differences in their usage? How about if we extend these notions to other contexts, such as in computer science, and in life…
Tim
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Name for short-circuitable property of certain operators

I'm wondering if anyone is aware of a formal mathematical name for what in programming is typically called short-circuit evaluation? It is common with many operations, that the value of one operand (once established) fully determines the result. For…
Steve
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What does "saturate" or "saturation" mean in relation to functions?

I am reading: https://www.deeplearningbook.org/contents/mlp.html And the author uses the term saturate a lot in relation to functions. What does that mean? For example:
confused
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What's the difference between "identity" and "formula"?

For example is $\sin^2x+\cos^2x=1$ an "identity" or "formula"? If they're different, please give an example of an identity that isn't a formula and an example of a formula that isn't an identity.
user629687
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Is there an English word for $1/n$?

Is there a single English word for $1/n$? Can you say something like "one $n$-tht"? In Czech, we normally say "jedna $n$-tina".
Tomas
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What does "masses $1$ through $n$" mean?

Mathematical Chunks of Sentient Protoplasm (MCSPs, for short) are smart blobs who dream of merging together into one huge blob. But they can only do it following certain rules: 1) If two MCSPs have the same mass, or if their masses are 1 apart, they…
Evan_Smith
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Are the "base" in number system and the "base" in logarithm the same concept?

A wiki page says In mathematics, a base or radix is the number of different digits or combination of digits and letters that a system of counting uses to represent numbers. For example, the most common base used today is the decimal system. Because…
JJJohn
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The Name of "$0$ to $360$ degrees"

So in math, there are names for many things: Cartesian vs Polar Coordinate systems Euclidean vs Non-Euclidean Spaces Degrees vs Radians vs Gradians Is there a generally accepted term for 0 to 360 vs -180 to 180?
bwall
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Is there a word for a number with a fractional component?

Is there a word for a number with a fractional component? If $1$ is whole number, $1.2$ is a…?
52d6c6af
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