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Questions of the kind "What's the name for a X that satisfies property Y?"

53 votes
Accepted

Whence “homomorphism” and “homomorphic”?

I found this footnote on page 195 of Fricke and Klein's Vorlesungen über die Theorie der automorphen Functionen (1897): Translation: The term "homomorphic" seems more appropriate than the previously …
Carlo Beenakker's user avatar
1 vote

What does it mean when one says the inequality must be understood in the barrier sense, when...

Definition 1.2 in On the Distributional Hessian of the Distance Function explains the difference: an inequality can hold in distributional sense, in barrier sense, or in viscosity sense. Given a Riem …
Carlo Beenakker's user avatar
84 votes
Accepted

How did "normal" come to mean "perpendicular"?

normalis already meant right-angled in classical Latin; for example, angulus normalis appears in the first century text De institutione oratoria (volume XI, paragraph 3.141) by Marcus Fabius Quintilia …
Carlo Beenakker's user avatar
3 votes

Expectation value of inverse covariance matrix when sampling from unit sphere

First note that the vector $x$ distributed uniformly on the $d$-dimensional hypersphere can be constructed from a vector $y$ with i.i.d. normal elements $y_1,y_2,\ldots y_d$, via $$x=\left(\sum_{i=1}^ …
Michael Hardy's user avatar
15 votes
Accepted

Is there a name for matrices of the form $a_{ij}=\frac{1}{a_{ji}}$?

The name of an $n\times n$ matrix with positive real elements satisfying $a_{ij}=1/a_{ji}$ for all $i,j\in\{1,2,\ldots n\}$ is reciprocal matrix. A consistent reciprocal matrix has elements of the for …
Carlo Beenakker's user avatar
7 votes

Who introduced the term hyperparameter?

In 1996 Irving Good himself recalls: One of the related problems close to philosophy is the estimation of the probability of one category of a multinomial when the order of the cells is irrelevant. [ …
Carlo Beenakker's user avatar
6 votes
Accepted

The name of the equianharmonic curve

The name refers to the concept of an anharmonic ratio, or cross-ratio. Four points $A,B,C,D$ are called equianharmonic if their cross-ratio is a cube root of 1. In that case the 6 cross-ratios obtaine …
Carlo Beenakker's user avatar
3 votes
Accepted

The origin and use of the term "equianharmonic" (elliptic function)

An answer to remove this question from the "unanswered list": The term "equianharmonic" refers to "equal anharmonic ratio", as explained by Wiener in 1901, see this earlier MO post.
Carlo Beenakker's user avatar
4 votes
Accepted

Origin of the term "connective constant"

Q: Is there some application where $\mu$ plays a role in some kind of "connectedness" which would excuse the name? A: The application is to crystalline structure. The name originates from Hammersley, …
Carlo Beenakker's user avatar
1 vote

Name of the "s" parameter in Ungar's theory of hyperbolic geometry

In the context of relativistic mechanics, the parameter $s$ is the speed of light, see for example The Intrinsic Beauty, Harmony and Interdisciplinarity in Einstein Velocity Addition Law: Gyrogroups a …
Carlo Beenakker's user avatar
8 votes

English name and references for a combinatorial puzzle from Japan

Tsuyoshi Uema refers to it as a "renkan" puzzle, and has written some code to solve small instances at http://prolog.web.fc2.com/src_017_renkan.html
Carlo Beenakker's user avatar
3 votes
Accepted

Pronunciation: the Erdős–Rado partition notation

Community wiki because it is answered over at MSE. source
Carlo Beenakker's user avatar
2 votes
Accepted

Name for a Hopf algebra admitting no non-trivial 1-dimensional comodule

Q: Is there a name for a Hopf algebra that admits no one-dimensional comodule other than the trivial comodule? A: Not in the literature, but if you would like to coin a specific name for such a Hopf a …
Carlo Beenakker's user avatar
8 votes

Origin of the banana graph

These diagrams come by different names: "banana", "water melon", "basket ball". An early reference is M. Creutz - Feynman rules for lattice gauge theory, Rev. Mod. Phys. 50, 561–571 (1978). A more re …
LSpice's user avatar
  • 12.9k
55 votes

Who started the "-oid" suffix fashion in math?

The suffix "-oid" means the same as "quasi", so "resembling", "like". A groupoid is a quasi-group, like a group. There are hundreds of words in that category, covering many scientific disciplines. In …
Carlo Beenakker's user avatar

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