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

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
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
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
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}^ …
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
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
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
3 votes
Accepted

Origin of the term relaxation method in numerical analysis for iteratively solving linear eq...

Q: what is being "relaxed" in the relaxation method? A: The relaxation method is an iterative approach to solve the set of linear equations $\sum_{j}A_{ij}u_j-b_i=0$ by relaxing the requirement that t …
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
7 votes

What is Barr-Beck?

M. Barr and J. Beck, Acyclic models and triples, Proc. Conference Categorical Algebra (La Jolla, Calif., 1965) Springer, New York, 1966, pp. 336-343. The "triple" is an older name for a monad. Also, J …
Carlo Beenakker's user avatar
1 vote

Why are isotropic random vectors called isotropic if they aren't?

A random vector $\mathbf{x}$ is called isotropic with respect to a norm $\mu$ (more generally, a quasinorm) if the equiprobability curves are given by $\mu(\mathbf{x})=\text{constant}$. If $\mu$ is th …
Carlo Beenakker's user avatar

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