Questions tagged [terminology]
Questions of the kind "What's the name for a X that satisfies property Y?"
975 questions
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Is there a name for this type of probabilistic predictability of stopping times?
Let $(\Omega,\mathcal{F},(\mathcal{F}_t)_{t \in [0,\infty)},\mathbb{P})$ be a filtered probability space, and let $\tau \colon \Omega \to [0,\infty]$ be an $(\mathcal{F}_t)$-stopping time.
We will say ...
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A property which combines total paracompactness and strong paracompactness
Def 1. We call $X$ strongly paracompact if every open cover has a star-finite open refinement.
Def 2. We call $X$ paracompact if every open cover has locally finite open refinement.
Def 3. We call $X$ ...
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Name for "continued fraction" matrices and the group they generate
Let $R$ be a ring. Is there a standard name for matrices of the form
$$
\begin{pmatrix}a & 1\\ 1 & 0\end{pmatrix}\in \mathbb{M}_2(R)?
$$
When $R=\mathbb{Z}$, these matrices arise naturally in ...
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Alternative, descriptive terminology for "Kleisli category"
Every monad is induced canonically by two universal adjunctions, introduced respectively by Kleisli and by Eilenberg and Moore. Since neither paper introduced names for the corresponding categories, ...
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What are these ordered rings: for every $\epsilon>0$ there is an $\omega$ with $\omega\epsilon\ge 1$?
In my project I work with an ordered ring $R$ that has the following property:
for all $\epsilon\in R$ with $\epsilon>0$ there is an $\omega\in R$ so that $\omega\epsilon\ge 1$.
I wonder whether ...
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What is this solution concept in game theory?
Consider a finite strategic form game.
Let $U_i(\sigma_i; \sigma_{-i})$ denote the real-valued payoff to player $i$ when using mixed strategy $\sigma_i$ while his opponent also uses mixed strategy $\...
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Why and when did the "card" and "deck" terminology originate for the Graph Reconstruction Conjecture?
The Graph Reconstruction Conjecture is a famous open problem problem in Graph Theory. Given a graph G, we call the result of deleting a vertex $v$ and all edges connected to $v$ of G to be a card of G....
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Reference Request: What is the name of this result relating a dynamic to a spatially varying speed-up of the dynamic?
Consider some ODE given by
$$
x'=f(x)
$$
for $x\in\mathbf{R}^n$ and $f(x)\in\mathbf{R}^n$ for smooth $f$, and for which all solutions $x(t)$ eventually enter some bounded set. Consider some function
$$...
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Non-Archimedean disks
Let $K$ be a field complete with respect to a non-Archimedean absolute value $|\cdot|$. To develop analysis in $K$, we need the notion of a disk in $K$. There is nothing mysterious at first glance: ...
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Division rings and Fields [closed]
Who first used the terminology "Division rings" to make a distinction between commutative fields and not necessarily commutative fields ?
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The conjecture about the number of prime numbers generated by the polynomials $f(x)$ and $f(−x)$ will be almost exactly equal [closed]
While trying to find a quadratic expression that generates prime numbers, I've made the following interesting observation. I would be grateful for any insights into this problem, including its origins,...
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Is there a canonical name for this variant of the rook polynomial?
Let $\mathcal{P}$ be a polyomino. Two or more rooks on $\mathcal{P}$ are called non-attacking if no path of edge-adjacent cells of $\mathcal{P}$ connects any pair of them along a row or a column.
Let $...
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Terminology: commonly used name for an $\omega$ machine?
I am writing an expository essay on certain aspects of mathematical proofs, and one recurring pattern is the kind of question which is short in one direction but long in the other. A couple of ...
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What is the name of graphs that apply functions along their edges?
I am looking for the standard terminology for a mathematical structure consisting of a directed graph where each edge "applies a function passing through it".
Formal Definition
Let $G=(V, E)$...
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A conjecture on Desargues's theorem configuration
I found a nice result follows:
Conjecture: Let $ABC$ and $A'B'C'$ be two perspective triangle, the perspector is $P$. Let two points $D, E$ lie on $BC$, two points $G,H$ lie on $CA$, two points $I, K$ ...
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