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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Term for listing all possble integers that add up to a specific total

Pretty simple question, much like we use 'factorise' to describe finding the factors of a number, is there a term for finding all the (integer) numbers that can be added up in any combination to the same total? For example, the number 3 would yield…
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What's the difference between substitution and equality?

Is $2$ a substitution for $1+1$, or equal to $1+1$? In this case both seems true, but I was wondering if there really is a difference. Whenever there is an equality $A=B$, is it also true that $B$ is always a substitution for $A$?
Frank Vel
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How is it called a minimal morphism of category Rel?

How is it called a Rel-morphism $(f;A;B)$ such that: a. $f=\varnothing$; b. $f\ne\varnothing$? Is there any special term for this?
porton
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How to call the region bounded by a hyperbola

Given an hyperbola, is there a mathematical name that describes the region/area bounded by one arm of the hyperbola? In this image the area is marked grey. To clarify my question: I'm looking for a shorter name for this region, so that I don't have…
Lix
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Inner, outer, tensor, cross product - where do the names come from

Well, I could imagine the reason for the latter - due to the convention to write the cross product as $\alpha_1 \times \alpha_2 \times \dots \times \alpha_n$. But for the others - where do their names come from?
marmistrz
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What is different between in a set and on a set?

I saw that in is sometimes used and so is on. For example, Let $f$ and $f_k$, $k=1, 2, \cdots$, be measurable and finite a.e. in $E$. If $f_k\to{}f$ a.e. on $E$ and $|E|\lt+\infty$, then $\{f_k\}$ converge in measure on $E$ to $f$. In the theorem…
Danny_Kim
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Is it acceptable to refer to "the $\ell_2$-norm ball of radius $r$"?

Assume $r > 0$. Is it standard to use the expression "the $\ell_2$-norm ball of radius $r$" to refer to the set \begin{equation} B = \{ x \in \mathbb R^n \mid \| x \|_2 \leq r \}. \end{equation} (Do I also need to state where the ball is centered,…
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Name for region of plane bounded by two rays?

Is there a name for e.g. the locus $$\pi/6 \leq \arg z \leq \pi/3$$ on an Argand diagram? (Perhaps something analogous to a half-plane?)
user46234
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Word Form of an Expression

What is the word form of the expression? $$\sum \frac{1}{n^s}$$ That is exactly the way the expression appears in a paper which I am trying to read. It is $$\sum_{n=1}^\infty \frac{1}{n^s}$$
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Terminology: "Unique algebraic combination"

I recently came across the term "unique algebraic combination" and wasn't sure what this meant. For example, for two numbers $a$ and $b$ what are their "unique algebraic combinations"? Would it be something like $a + b$ $a - b$ $a * b$ $a / b$
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Generic term for results of applying mathematical transformation to a value

Is there a generic way to refer to the summed values in this equation: I wanna say something like 'the result is the sum of three individual XXX XXX XXX performed on the percentile values', where XXX could be 'transformation' or 'mutations'…
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Increasing value, decreasing amount

So I really only came here for one question, since I have no idea what it's called. Let's use a comparison to make it a bit easier. I have two coins of the value '1'. When I add those together, I get one coin that is worth '2'. When I add two of…
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Do digits have a name based on position in a number, front or rear?

This is a question about terminology when dealing with numbers, counting and incrementing digits. In a decimal system we have 0-9 or 10 digits. Once we get past 9 we have to add a ? digit to get 10. (which means 1 set of 10 objects) Is 1 a leading…
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The expression "back to the envelope calculation", what does it mean?

I'm french and one of my teacher use often the expression : "back to the envelope calculation", but I don't find any satisfactory translation. If someone know the french, and a good translation of this expression, I would by happy to know it.
idm
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What is the name for numbers using a comma for a decimal separator versus a dot

I am curious to know if there is a specific name for numbers that use a comma for a decimal separator and a dot for a thousands separator as opposed to numbers that are the reverse. For example: 4.048,5 vs 4,048.5