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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 term for variables that have min and max values?

Is there a mathematical term for variables that have min and max values where it can only have values between both? Take speedometers for example; they display how fast the car can go, meaning how high their speed can go up to. And since they cannot…
Masea
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Is "measure" in the definition of Cardinality a plain english or the measure in measure theory?

wiki says: In mathematics, the cardinality of a set is a measure of the "number of elements of the set". Is measure here a plain english or the measure in measure theory?
JJJohn
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It seems that this CMU Machine Learning course denote likelihood in a inverse order, what am I missing?

I understood this wiki example of likelihood (likelihood function). given the observed data HH, the likelihood that the model parameter $p_\text{H}$ equals 0.5 is 0.25. Mathematically, this is written as ${\displaystyle {\mathcal…
JJJohn
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Is responses in statistics the equivalent to random variables in probability?

this post says The focus of this class is multivariate analysis of discrete data. The modern statistical inference has many approaches/models for discrete data. We will learn the basic principles of statistical methods and discuss issues relevant…
JJJohn
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Division methods for finding cube root

Consider the perfect cube 196122941. Its cube root is 581. If I try to find out the cube root by the long division method, I do get 581 as follows: $$ \begin{array}{r|r} & \underline{5 \quad 8 \quad 1} \quad\quad\quad\quad \quad \quad\quad…
CuriousMind9
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What does Naturals to the omega mean?

What is this called? $$\mathbb{N}^\omega$$ Can't seem to find any mention of it when I google. Context: comment to this answer https://math.stackexchange.com/a/1384962/243059
Shuri2060
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About the nuance of multiplication given any number "n" divided by zero is undefined.

Firstly, I'm pretty sure I understand why $\frac{n}{0}$ is undefined. Example Into how many groups of zero could you separate n blocks? Well, no matter how many zero's you sum up, you will never have $n$ blocks. Multiplication is commutative,…
Andrew
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shorter synonym of "underlying set"

Given a structure on a set $X$, e.g. a group $G=(X,+,0)$, we usually call $X$ the "underlying set". Is there a shorter word for this?
user56834
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Is the value of $\frac{1}{\sqrt{2\pi}}$ a **precise** or **approximate** value of the PDF of the standard normal distribution at point $x = 0$?

"Doing Math with Python: Use Programming to Explore Algebra, Statistics, Calculus, and More!" in chapter 7 says A probability density function, P(x), expresses the probability of the value of a random variable being close to x, an arbitrary…
JJJohn
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What is the difference between mean and average?

I know that they mean more or less the same thing, and in common parlance, they are interchangeable. But from a very strict mathematical sense, is there any difference between the two terms, or are they truly identical synonyms?
LadyCailin
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Homogeneous Function Terminology

Just a question about terminology: Why is it called a homogeneous function? What is "homogeneous" about being able to pull out multiplicative constants out of arguments of functions?
Cihan T
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"unboundedly many" vs. "boundlessly many"

In explanations occurring in proofs such as, e.g., "This way we reduce unboundedly many objects of type ... to constantly many ones.", is "unboundedly many" a correct term? Of would you write "This way we reduce boundlessly many objects of type ...…
user691231
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Is there a name for a set function such that at least one element can be removed without penalty?

Given a set $S$, consider a function mapping its subsets to the reals, $f:\mathcal P(S)\rightarrow \mathbb R$. Assume that for every $T\subseteq S$, there exists an element $i\in T$ such that $f(T\backslash \{i\}) \geq f(T)$, that is, we can remove…
cangrejo
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Function, Mapping and Relation

I believe I understand what a function and relation are, but what is a mapping? At first I thought the term was synonyms with relation, but after looking it up, I’m thinking it could be more or less the same thing as a function. Does a “mapping” or…
Frasch
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does pointwise convergence mean that the support is shrinking?

A simple example Let $f_n = n \cdot \mathbb{1}_{[0, 1/n)}$ the function converges pointwise to 0. Can I also say that the support of f is shrinking or is it best to just keep the phrasing: the function converges pointwise to 0?
user29418
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