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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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Terminology: Monotone vs increasing

In the current version of my book (related with order theory) I used the term monotone to denote $\forall x,y:(x\geq y\Rightarrow f(x)\geq f(y))$. Should this usage of the term monotone be considered correct, or should the term increasing be used…
porton
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Correct term for the set of numbers which cannot be expressed in a particular base

For every base there's a set of fractions that can't be expressed with the exponent in that base, for instance 1/3 cannot be represented in decimal and 1/10 can't be represented in binary (particularly relevant to floating-point calculations in…
Keith
  • 101
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What is the word for the relationship between a function and another the it can be tranformed into

Given a function $f(x)$ and another function $g(x)$ such that $g(x)=a×f(b×(x-c))+d$ for some numbers $a$,$b$,$c$, and $d$, is there a name for how they are "basically" the same?
Aaron Quitta
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Name of $G(\lambda):=\mathbb{E}[X^{\lambda}]$

For a positive random variable, does the function $$ G\colon [0,\infty)\to [0,\infty]\\ G(\lambda):=\mathbb{E}[X^{\lambda}] $$ have a name?
Bananach
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Is there a term for this property of operations/relationships?

Say $h$ is related to $g$ in some way, denote this by $h:R:g$. Say we also have some kind of operation that we can perform on both $h$ and $g$. Denote this operation by $*$. The relation, $R$, is such that: $$hRg \implies h*x :R: g*x$$ For example,…
AmagicalFishy
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Is there a term for a number $\in (0, 1)$?

ELU's answers aren't sufficiently specific, as decimals/(decimal) fractions (e.g. 222/100) can $\not\in (0, 1)$
user53259
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Ambiguity of the term "vector dimensionality"

When reading about vector dimensionality, usually I find two different uses for the term. It may refer to the number of data points inside a vector. Example: $v = (4, 3, -1)$ has dimensionality 3. It may appear in tensor context, where vectors are…
arnaldocan
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Is "non-linear equation" the proper description of y = x*z (where x, y & z are unknown)?

For equation $y = x*z$, assuming $x$, $y$, and $z$ are unknown, what is the correct terminology for describing it? I'm assuming it is not quadratic since there is no squared term (e.g., $x^2$) and not linear since $x$ and $z$ are both unknowns…
Dolan Antenucci
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phrase for the intersection of two ranges?

This question is more about the language used by mathematicians. The intersection of the ranges $A=[0,2]$ and $B = [1,3]$ is $C=[1,2]$. Now, which sentences are correct? $C$ is the intersecting range of $A$ and $B$. $C$ is the overlapping range of…
apadana
  • 191
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Is there a name for expressions of the form $n^n$?

$n*n$ is a square number. Is there a corresponding descriptive term for $n^n$? Auto-power? 2nd-order tetration?
xan
  • 294
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Name of expression / function: ab / (a*a + b*b)

Does this expression: $$f(a, b) = \frac{ab}{a^2 + b^2} \equiv \frac{1}{\frac{a}{b} + \frac{b}{a}}$$ have a name? Comments I am unaware of a standard name for this expression, but I would refer to it as something like "pseudo-ratio" or…
norok2
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how are functions of the form $f(x)=ax^{-b}+c$ called?

What is the name for the class of functions of the form: \begin{equation} f(x)=ax^{-b}+c\;. \end{equation} With $c=0$ and $a$ satisfying some normalization property these functions are called power laws, because they describe a probabilistic law.…
Marlo
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Formal Phrase for 'cancel out'

For example, in a simple equation: xy = yz, the unknown y can be 'cancelled out'. What would be a more formal phrased with the meaning of 'cancel out'?
George Tian
  • 369
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What do you call the reversal point of a logarithm?

I am looking for the correct terminology to describe the region of greatest "curve", or "bend" in a logarithmic function. Because of the nature of logarithmic functions I don't think this meets the definition of a "reversal point" or "curve…
Industrademic
  • 101
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What is the term for a system of equations that is known to have a solution that can be found in closed form?

Let $X = \{x_1,...,x_n\}$ be a set of variables and $F = \{f_1(\tilde{X}_1)=0,...,f_m(\tilde{X}_m)=0\}$ be a set of $m \ge n$ equations, each one a function of some subset $\tilde{X}_i \subset X$. I know that my set of equations is sufficient for…
Michael Stachowsky
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