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: “Currying” of a power set?

We can write a function $f:X\times Y\to Z$ as $\tilde f:X\to (Y\to Z)$. This is called “currying”. We can also write an element of a power set $Y\in \mathcal P(X)$ as $Y:X\to \{0,1\}$. It’s somewhat similar to currying. Is there a term for…
user56834
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What is a generic name to cover arccosine, cosine, and sine?

I am writing a simple application to plot the curves of arccosine, cosine, and sine for learning purposes and would like to know if there is a generic phrase or wording I can use for the name of the application that relates to all three? I believe…
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What do you call the number you add to a decimal to get 1?

If you have a number that is between 0 and 1, what would you call the number that you add to it to get 1? Is there a specific term for it? I was under the impression it had a name like inverse or reciprocal or something like that, although I know it…
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Is there a name for a logarithm with a mantissa of zero?

Not a math guy, just asking out of curiosity. I recently came to understand that a logarithm's integer and fraction parts are respectively called the characteristic and the mantissa (if that's wrong then feel free to smash me to pieces). Right now I…
Crono
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What is the support of a basis function?

I'm a reading a paper on surface interpolation [1]. However, there is a term that I cannot make sense of and I cannot find it via Google either. The text reads as follows: The discrete equations we developed in the section were obtained using nodal…
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How exactly does a lemma differ from another type of proposition (like a theorem or corollary)?

How exactly does a lemma differ from another type of proposition (like a theorem or corollary)? I think it is that lemmas are used to help prove theorems and coroallary are specific cases of theorems. Is this correct?
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Is there a mathematical term to refer to the number of unique elements in a multiset/sequence/tuple?

Does there exist a mathematical term to refer to the number of unique elements in a multiset/sequence/tuple? For example, if a tuple $T$ is $[2, 4, 2, 10, 4, 8, 10]$, then the number of unique elements in $T$ is $4$: $$[2, 4, 8, 10].$$ The term…
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Term for unintuitive equivalencies (e.g., Zorn's lemma and Axiom of Choice)?

I know there is a term for cases where two mathematical propositions are equivalent but only one is intuitive and the other (and thus the equivalence) is not. Also, the term might apply to surprising, unintuitive connections across different…
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What do the terms "special form" and "general form" mean in reference to an equation?

What do the terms "special form" and "general form" mean in reference to an equation? Is the "standard form" the same as the general?
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What is a poset?

I know the standard definition, but are there any alternative definitions? In particular, I distinctly remember seeing a remark that the definition given by John Kelley in his classic text on General Topology was non-standard.
user584285
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What does evenly distributed mean?

I, repeatedly, find this expression used in many places, especially when talking about probabilities. I am interested in understanding the meaning of the expression in a $2$-dimensional and $3$-dimensional spaces. Let's say we have a set $S$ of $N$…
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Is there a term for numbers like 1001, 2002, 3003 or 1010, 2020, 3030

If I am speaking to somebody about 4 digit numbers in specific format where the second and the third digits are the same or where the first and the third digits are the same what would be the term for them?
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Adjective that describes a proper cumulative distribution function that may be discontinuous

If $f(x)$ is a non-atomic probability distribution function, then its integral $F(x) := \int_{-\infty}^{x}f(y)dy$ is a continuous function. However, if $f(x)$ has atoms then $F(x)$ may be discontinuous ($F$ might have jumps where $f$ has atoms).…
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Name for the set of unique $\{a, f(a), f(f(a)), ... \}$?

Is there a name for the unique values produced by recursive function calls? Something like $f(x) =$ (recursive applications of) $(x \cdot 2) \mod 6$ $f(1) = \{1, 2, 4\}$ Thank you.
Shay
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Is this a division by modulo or what?

What is the name for this operation? Is it division by modulo? I'm really confused. Here results will be always from 0 to 7, whichever dividend is. -1 % 8 = 7 -7 % 8 = 1 -8 % 8 = 0 If previous operation is a division by modulo, so how I should name…