Results 21 to 30 of about 865,901 (361)

The Fuglede conjecture for convex domains is true in all dimensions [PDF]

Acta Mathematica, 2019
A set $\Omega \subset \mathbb{R}^d$ is said to be spectral if the space $L^2(\Omega)$ has an orthogonal basis of exponential functions. A conjecture due to Fuglede (1974) stated that $\Omega$ is a spectral set if and only if it can tile the space by ...
Nir Lev, M. Matolcsi
semanticscholar   +1 more source

Vagueness, Identity, and the Dangers of a General Metaphysics in Archaeology

Open Philosophy, 2021
Archaeology is currently bound to a series of metaphysical principles, one of which claims that reality is composed of a series of discrete objects. These discrete objects are fundamental metaphysical entities in archaeological science and posthumanist ...
Ribeiro Artur
doaj   +1 more source

A Proof of Onsager's Conjecture [PDF]

, 2016
For any $\alpha 1/3$ due to [Eyink] and [Constantin, E, Titi], solves Onsager's conjecture that the exponent $\alpha = 1/3$ marks the threshold for conservation of energy for weak solutions in the class $L_t^\infty C_x^\alpha$.
Philip Isett
semanticscholar   +1 more source

A Model for Teaching Mathematical Argument at the Elementary Grades

Journal of Educational Research in Mathematics, 2020
Over years of collaborating with elementary-school teachers to research students' thinking about the "big ideas" of K-6 mathematics, particular attention was given to generalizations about the operations-addition, subtraction, multiplication, and ...
Deborah Schifter, Susan Jo Russell
doaj   +1 more source

Density of Arithmetic Representations of Function Fields [PDF]

Épijournal de Géométrie Algébrique, 2022
We propose a conjecture on the density of arithmetic points in the deformation space of representations of the \'etale fundamental group in positive characteristic. This?
Hélène Esnault, Moritz Kerz
doaj   +1 more source

Tensionless strings and the weak gravity conjecture [PDF]

Journal of High Energy Physics, 2018
A bstractWe test various conjectures about quantum gravity for six-dimensional string compactifications in the framework of F-theory. Starting with a gauge theory coupled to gravity, we analyze the limit in Kähler moduli space where the gauge coupling ...
Seung-Joo Lee, W. Lerche, T. Weigand
semanticscholar   +1 more source

A conjectural generalization of n! result to arbitrary groups [PDF]

, 2002
We relate the n! conjecture (by Garsia and Haiman) to the geometry of principal nilpotent pairs, and state a conjecture generalizing the n! conjecture to arbitrary semisimple algebraic groups.
Kumar, Shrawan, Thomsen, Jesper Funch
core   +3 more sources

Auslander‐reiten conjecture for gorenstein rings of krull dimension at least 2 [PDF]

ریاضی و جامعه, 2022
Auslander‐Reiten Conjecture is one of the most important and long‐standing conjectures in representation theory of finite dimensional algebras. It is known to be in close relationship with a string of homological conjectures on top of which lies the well‐
Hossein Eshraghi
doaj   +1 more source

The weak gravity conjecture and scalar fields [PDF]

, 2017
A bstractWe propose a generalisation of the Weak Gravity Conjecture in the presence of scalar fields. The proposal is guided by properties of extremal black holes in N=2$$ \mathcal{N}=2 $$ supergravity, but can be understood more generally in terms of ...
Eran Palti
semanticscholar   +1 more source

Repulsive forces and the weak gravity conjecture [PDF]

Journal of High Energy Physics, 2019
The Weak Gravity Conjecture is a nontrivial conjecture about quantum gravity that makes sharp, falsifiable predictions which can be checked in a broad range of string theory examples. However, in the presence of massless scalar fields (moduli), there are
B. Heidenreich, M. Reece, Tom Rudelius
semanticscholar   +1 more source