We give criteria on the existence of a so-called mark function in the context of marked metric measure spaces (mmm-spaces). If an mmm-space admits a mark function, we call it functionally-marked metric measure space (fmm-space). This is not a closed...
Pic 8 pic from the good morning America video...
https://youtube.com/shorts/dFryvbswU4U?si=KAY8go1e5IvcLyoM...
A map of a set to itself admits a representation by a graph with vertices being the elements of the set and an edge between every vertex and its image. Communities defined as the maximal connected components are uni-cyclic. The distributions of the s...
He wrote: "**CHILDREN IN THE DARK** I remember being a child and after the lights turned out I would look around my bedroom and I would see shapes in the darkness and I would become afraid – afra...
A special final coalgebra theorem, in the style of Aczel's, is proved within standard Zermelo-Fraenkel set theory. Aczel's Anti-Foundation Axiom is replaced by a variant definition of function that admits non-well-founded constructions. Variant ord...
The nonlinear integral equation P(x)=\int_alpha^beta dy w(y) P(y) P(x+y) is investigated. It is shown that for a given function w(x) the equation admits an infinite set of polynomial solutions P(x). For polynomial solutions, this nonlinear integral...
Points: 182 | Comments: 57 | Author: cogs
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Points: 485 | Comments: 250 | Author: ceilingcorner
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We show that any equicontractive, self-similar measure arising from the IFS of contractions $(S_{j})$, with self-similar set $[0,1]$, admits an isolated point in its set of local dimensions provided the images of $S_{j}(0,1)$ (suitably) overlap and t...
and Eva as Jake is informed of the Silencer. Vic and Eva admits their scheme infuriating Hartley. To get the Silencer back, Vic and Eva reluctantly give
We consider a two-player game of war of attrition under complete information. It is well-known that this class of games admits equilibria in pure, as well as mixed strategies, and much of the literature has focused on the latter. We show that if the...
In this paper we give a criterion for an ideal of a TAF algebra to be meet irreducible. We show that an ideal $J$ of $A$ is meet irreducile if and only if the C$^*$-envelope of the quotient $A/J$ is primitive. In that case, A/J admits a nest repres...
I got an admit from NYU Courant MSCS today! Till now I only had admits from options in my safety net, like NYU Tandon and UMass Amherst MSCS. Honestly I started to feel like my profile was not good e...
Jul 28, 2025 · The University of California, Davis, has offered undergraduate admission for fall 2025 to 8.6% more applicants than last year — including a record high number for first-year status, according …
Let T(γ) be the total space of the canonical line bundle γover CP^1 and r an integer which is greater than one and coprime to six. We prove that L_r^3\times T(γ) admits an infinite sequence of metrics of nonnegative sectional curvature with pairwi...
The classical D'Alembert's Ratio Test is a powerful test that we learn from calculus to determine convergence for a series of positive terms. Its range of applicability and ease of computation makes this test extremely appealing. However, it admits a...
This is one of the biggest recruiting surprises (that went in Arkansas’ favor) that I can remember....