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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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Is there a technical term for a 'complementing' number that sums to 1?

I'm looking for a technical name (if one exists) for a number that 'completes' or 'complements' another. The motivation for this is to develop a proper understanding of mathematical language, for example in naming variables while programming. Say if…
jsaigle
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Name of the natural bijection between $[a,b] \subset \mathbb{R}$ and $[c,d] \subset \mathbb{R}$

Given $[a,b],[c,d] \subset \mathbb{R}$, we can take the natural bijection between those intervals $$\phi: [a,b] \to [c,d] \\ x \mapsto (x-a) \frac{d-c}{b-a} + c$$ Does this bijection have any name?
José D.
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*Presume* and *Imply*

I am not sure about the usage of the word presume. For example, is the sentence differentiability implies continuity equivalent to differentiability presumes continuity or to continuity presumes differentiability or to none of them? How come?
Yes
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Directly or inversely proportional

Take two cases- y = -x y = 1/x in both these cases as 'x' increases 'y' decreases, so according to me 'y' should be inversely proportional to 'x' in both. Please correct me if I am wrong but I also think that in first it should be 'y' is directly…
Kaustubh
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How can I describe the tenths digit with an even number?

How can I describe the following numbers? 0.2 0.4 0.6 0.8 Can I call them "even tenths"? For example: "If the maximum value in the data set is 1, then the values displayed in the bar graph are the ______." I am pertaining to the numbers above.
Lester Nubla
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Is sum of a series correct terminology?

What is the correct terminology when referring to the sum of a sequence? I see people and websites use "sum of the series...", but shouldn't we say the value of the series? (Sum of a sequence and value of a series). I would go as far as say that the…
Ruben
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Terminology for "coordinates"

As a non-native speaker, I am not sure about the following terminology for coordinates on manifolds. Given a manifold $M$, we pick up a local coordinates $(U, x^i)$, where $x^i$ are functions on $U$. Now give a $\mathbb{R}$-valued function $f$ on…
Ma Ming
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What would be the mathematical name for a function like the following?

x is an independent variable, p is a proportionality constant, and k is a critical value for x. Let's say: f(x)=p (a proportionality constant), where x >= k, a critical value. f(x)=0 where x The above "p"'s are adjusted to p*, where all the…
Tom Au
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What is the terminology for converting a list of numbers into a particular range?

Say for example I have a list of n numbers. I would like to convert this into another list of n numbers which are all within a certain range, e.g. 0 and 1, but still maintain the relationship between the numbers in the original list. So the largest…
Danny King
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What is the difference between an expression, a proposition, and a term?

A term serves as an argument for a proposition. A term may include functions (+,-,x), constants (1, Max, π), and variables (a, b). A term does not form a compete proposition. Accordingly, it cannot express a fact, so it cannot express a relation.…
Hal
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What is the generalization of 'theorem' and 'conjecture'?

What is the most specific word that describes both? As in "all theorems and conjectures are ..." ?
ripper234
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What is this operation called (assessment of whether value is high or low for given set)

Suppose we have set of values and one arbitrary. Then we perform an ... I don't know what call this... an index of a value in this way: $$ \frac{x-\text{min}}{\text{max}-\text{min}} $$ So for given set we can see if we are dealing with values…
rsk82
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What is meant by a formal statement in mathematics/computer science

While reading books in Mathematics and Theoretical Computer Science, usually the term Formal Statement props up. What is meant by that?
user5507
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What is this called?

Possible Duplicate: What is the term for a factorial type operation, but with summation instead of products? I am looking for the name of an operation similar to factorial. Factorial would be like: 6! = 6*5*4*3*2*1 but if the operator is "+" and…
logicbird
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What does "possible to define" mean?

What does "possible to define" mean in general? First I thought it means that "can not lead to a contradiction", but such seems to be hard to prove. Then for the proof I was looking at, involving natural numbers, it turned out to mean "exists at…
boooo
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