Nov 28, 2023 · I'm currently working to grasp the concepts of (continuous) functional calculus, aiming to prove the spectral theorem for bounded self-adjoint operators as outlined in "Introduction to …
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We show that an information-theoretic property of Shannon's entropy power, known as concavity of entropy power, can be fruitfully employed to prove inequalities in sharp form. In particular, the concavity of entropy power implies the logarithmic Sobo...
Grab your mobile device and prove you have what it takes to best your friends and family in this addictive multiplayer game. Whether you need to relax after a long day, or are looking to train...
S.3563 — 119th Congress (2025-2026) A bill to require the Secretary of Defense assess and, as appropriate, implement open technical standards for digital content provenance, and for other purposes.
Axios just published an internal DOJ/FBI memo (July 7 2025) saying there was never an Epstein “client list,” no evidence of blackmail, and that enhanced jail-cell video proves he died by suicide. ...
Feb 19, 2025 · In this article, we’ll break down five reliable fixes for when Razer Cortex isn’t working, drawing upon proven techniques as well as insights from seasoned Windows troubleshooting experts.
Data-driven dimensionality reduction methods such as proper orthogonal decomposition (POD) and dynamic mode decomposition (DMD) have proven to be useful for exploring complex phenomena within fluid dynamics and beyond. A well-known challenge for thes...
We establish a theory of NC functions on a class of von Neumann algebras with a particular direct sum property, e.g. $B(\mathcal{H})$. In contrast to the theory's origins, we do not rely on appealing to results from the matricial case. We prove that...
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Life on the farm proves to be challenging for a plucky pig in this endearing family comedy.
We prove that distribution dependent (also called McKean--Vlasov) stochastic delay equations of the form \begin{equation*} \mathrm{d}X(t)= b(t,X_t,\mathcal{L}_{X_t})\mathrm{d}t+ σ(t,X_t,\mathcal{L}_{X_t})\mathrm{d}W(t) \end{equation*} have unique (s...
In this paper we prove existence of global in time weak solutions for a highly nonlinear PDE system arising in the context of damage phenomena in thermoviscoelastic materials. The main novelty of the present contribution with respect to the ones alre...
The aim of this paper is to prove existence of weak solutions of hyperbolic-parabolic evolution inclusions defined on Lipschitz domains with mixed boundary conditions describing, for instance, damage processes and elasticity with inertia terms. To th...
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Due to the impossibility results of Mayers and Lo/Chau it is generally thought that a quantum channel is cryptographically strictly weaker than oblivious transfer. In this paper we prove that in a three party scenario a quantum channel can be stric...
We prove that the signature bound for the topological 4-genus of 3-strand torus knots is sharp, using McCoy's twisting method. We also show that the bound is off by at most 1 for 4-strand and 6-strand torus knots, and improve the upper bound on the a...
The more I reflect on Young Sheldon, the more it feels like it unintentionally exposes Sheldon as the actual villain of his own story. The whole show is about how this “brilliant” kid is surrounde...
Jerry's GF is very particular about sound systems, speakers headphones, etc. She only listens to specific music file types and vinyls on specific headphones made of specific materials He finds whenev...