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: to simplify a fraction

Describe in words how to simplify a fraction to its reduced form: Is this correct grammatically: We divide the numerator and denominator of the fraction by their greatest common factor.
VLC
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What is a "distinguished subset"?

I don't know if this is another word for something I already know or if it is something altogether different. I'm reading my textbook in CS about distributed algorithms, and this came up. I googled for a definition but couldn't find one. The state…
Mirrana
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Property of $f(x, y)= z$ for all permutations of $x, y, z$

What property would you say a function $f(x, y)= z$ has if it is true for all permutations of values $x, y, z$?
Chris_F
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Taking the limit on the first variable, or over the first variable, or?

I asked the following question on the English Usage page, and it made people furious why I didn't ask here. So I do: suppose $f(x,y)$ is a function of two variables and I want to say: "take the limit of $f$, as $x$ approches a given variable". Can I…
M. Rahmat
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Is Counting Regarded as Repeated Addition?

I am uncomfortable with the following statement in the draft of my paper: [T]he unary system of representing $n$ by $n$ contiguous dots uses a singleton alphabet and requires counting rather than addition [emphasis mine] for evaluation of its…
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Proper Terminology for Difference via Subtraction vs. Division

When comparing normalized data sets, I'm struggling to find the correct terminology for $X_1-X_2$ vs $ X_1\div X_2$. Often I see the word "Difference" used interchangeably. Is there a most correct terminology that differentiates the two? If it helps…
MadHatter
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Radial symmetry terminology

A circle or a 2-D projection of a starfish is considered "radially" symmetric. I am wondering what is the terminology for radial symmetry such that the distance from the center of the 2-D shape and its boundary is the same everywhere as in the case…
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Word choice for describing a variation with the abscissa (x)

In a scientific paper, the label of the abscissa (the horizontal axis) is "Coordinate x" and it represents the variation in space along the x axis between two points (along the thickness of a sample, where point 0.0 represents one end and point 0.6…
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What is the proper term for this kind of aggregation?

I have a bunch of values, which I aggregate as follows: Order them from worst to best (whatever this means). The visual image is that of a horizontal line and the worst item is to the left of the best item. Return the item which has 25% (50%/75%)…
mark
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Term for a value and derivatives at a given point

I'm doing some analysis which includes computing the sequence for some $f(t)$: $\left\{{f(t_0), \left.\frac{df}{dt}\right|_{t=t_0}}, \left.\frac{d^2f}{dt^2}\right|_{t=t_0}, \ldots ,\left.\frac{d^nf}{dt^n}\right|_{t=t_0} \right\}$, where n is some…
Cort Ammon
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Is there a name for this kind of algebra?

Suppose we have two binary operations $+$ and $*$. Suppose they are free objects in the variety of magmas. That is, the only equations they satisfy are when both terms on each side are identical terms. However, suppose that $*$ but not $+$ satisfy…
user107952
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What is the relationship called between two sets that are both members of all the same sets?

Is there terminology for the relationship $\forall C(C\in D\implies(A\in C \iff B \in C))$ between $A$ and $B$, for some $D$? I'm looking for a single word, or something shorthand for what's written in the title. I assume the answer may be quite…
Graviton
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Is there terminology for products/series and unions/intersections, similar to "quantifier" in logic?

I'm looking for a term that encompasses both (infinite) products and sums. "Series" seems to be exclusive to sums. Also, is there terminology for (inifinite) unions and intersections?
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How do you mathematically describe "removing" a digit?

Let us say you have the number 1234. If we were to "remove" the number 3, we would have 124. I have seen this operation in many programming tutorials, but I do not know what mathematical operation, if any, this maps onto. What is the mathematical…