We exhibit an orthonormal basis of cyclic gradients and a (non-orthogonal) basis of the homogeneous free divergence-free vector field on the full Fock space and determine the dimension of Voiculescu's free divergence-free vector field of degree k or...
"Wikipedia and Wikiversity have templates for creating a graphs/diagram based on data. The benefit of data driven dynamic graphs is that the mathematical curves can be updated much easier. The concept of this repository was developed during COVID-19. Considering this example the…
Dec 26, 2025 · Let (X, n) (X, n) be normed space and B B a basis (by basis I mean a set of vector such that every vector in X can be expressed in an essentially unique way as a finite linear combination of …
Solving inverse problems with Physics-Informed Neural Networks (PINNs) is computationally expensive for multi-query scenarios, as each new set of observed data requires a new, expensive training procedure. We present Inverse-Parameter Basis PINNs (IP...
For irreducible characters $\{ χ_q^λ\,|\, λ\vdash n \}$, induced sign characters $\{ ε_q^λ\,|\, λ\vdash n \}$, and induced trivial characters $\{ η_q^λ\,|\, λ\vdash n \}$ of the Hecke algebra $H_n(q)$, and Kazhdan-Lusztig basis elements $C'_...
We show that the instant motion of particle should be essentially discontinuous and random. This gives the logical basis of discontinuous motion. Since what quantum mechanics describes is the discontinuous motion of particles, this may also answer...
Inverse rendering seeks to reconstruct both geometry and spatially varying BRDFs (SVBRDFs) from captured images. To address the inherent ill-posedness of inverse rendering, basis BRDF representations are commonly used, modeling SVBRDFs as spatially v...
We introduce a new theoretical framework -- the polarized Houston basis -- to model nonequilibrium dynamics in driven open quantum systems, formulated for use within the quantum master equation. This basis extends conventional Houston states by incor...
It was recently argued by Kemp et al. that HALEU (high-assay low-enriched uranium, or uranium enriched up to 19.75\%) can conceivably be used to produce a nuclear weapon and on this basis civilian enrichment limits should be lowered to 10% or 12%. We...
Nov 22, 2023 · Spam. It’s a four-letter word. Sifting through unwanted messages in your inbox on a daily basis is a chore — one most of us can’t keep up with. And while some spam emails are legitimate …
In the previous articles of this series, we have discussed the development of musical scales particularly that of the heptatonic scale which forms the basis of Western classical music today. In this last article, we take a look at the basic structure...
Cryptic crossword clues are challenging language tasks for which new test sets are released daily by major newspapers on a global basis. Each cryptic clue contains both the definition of the answer to be placed in the crossword grid (in common with r...
Cryptic crossword clues are challenging cognitive tasks, for which new test sets are released on a daily basis by multiple international newspapers. Each cryptic clue contains both the definition of the answer to be placed in the crossword grid (in c...
When an athlete "goes pro," she goes professional –-she is paid for her service rather than doing it on an amateur basis. Other professionals, including doctors and lawyers, are also paid for their work, …
France ranks among the world's most influential centers of cultural development. It is the place of origin of the French language and civil law forms the basis of the legal systems of many countries. The …
Social relationships (e.g., friends, couple etc.) form the basis of the social network in our daily life. Automatically interpreting such relationships bears a great potential for the intelligent systems to understand human behavior in depth and to b...
Consider the setting where a $ρ$-sparse Rademacher vector is planted in a random $d$-dimensional subspace of $R^n$. A classical question is how to recover this planted vector given a random basis in this subspace. A recent result by [ZSWB21] showed...
Now I'm thinking to focus on newsletter more for a website, where I can send my blogposts in a customized way on daily basis...I'm thinking to use Beehiiv... Is there any restriction related to custo...
Feb 21, 2026 · A thick theory, such as libertarianism or socialism, is not appropriate as the basis for a constitution in a pluralistic society in which the people hold differing views about the good (or justice).
Feb 21, 2026 · A thick theory, such as libertarianism or socialism, is not appropriate as the basis for a constitution in a pluralistic society in which the people hold differing views about the good (or justice).