jdtoscano94/NABLA-SciML
Physics Informed Machine Learning Tutorials (Pytorch and Jax) (⭐ 648)
Physics Informed Machine Learning Tutorials (Pytorch and Jax) (⭐ 648)
Vulkan, OptiX and CUDA Interoperation Modular Rendering Library and Framework for PC/Linux/Android (⭐ 671)
tend to use the cross product notation with the del (nabla) operator, as in ∇ × F {\displaystyle \nabla \times \mathbf {F} } , which also reveals the relation
It is often quoted in physics textbooks for finding the electric potential using Green's function that $$\nabla ^2 \left (\frac {1} {r}\right)=-4\pi\delta^3 ( {\bf r}),$$ or more generally $$\nabl...
Points: 7 | Comments: 0 | Author: _ananos_
Mar 27, 2018 · First up, this question differs from the other ones on this site as I would like to know the isolated meaning of nabla if that makes sense. Meanwhile, other questions might ask what it means …
Let $k$ be an algebraically closed field of odd characteristic $p$ and $X$ a proper smooth scheme over the Witt ring $W(k)$. To an object $(M,Fil^{\cdot},\nabla,Φ)$ in the Faltings category $\mathcal{MF}^{\nabla}_{[0,n]}(X), n\leq p-2$, one associat...
or nabla, is an operator used in mathematics (particularly in vector calculus) as a vector differential operator, usually represented by ∇ (the nabla symbol)
Blackbox tool to disable SSL certificate validation - including certificate pinning - within iOS and macOS applications. (⭐ 3251)
In this note we show how one can obtain results from the nabla calculus from results on the delta calculus and vice versa via a duality argument. We provide applications of the main results to the calculus of variations on time scales....
Wilson-like Dirac operators can be written in the form $D=γ_μ\nabla_μ-\frac {ar}{2} Δ$. For Wilson fermions the standard two-point derivative $\nabla_μ^{(\mathrm{std})}$ and 9-point Laplacian $Δ^{(\mathrm{std})}$ are used. For Brillouin fermion...
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What makes Graham Walker, MD feel “the vibes are off” in the ER, and can AI learn to think like him? In this exclusive How I Doctor episode, Graham Walker, MD, Offcall co-founder and EM physician, sits down with Yann LeCun, Executive Chairman of Amilabs and Turing Award Laureate,…
The decisions health systems make in 2026 will usher in a new era in healthcare. Next week, 50 of the most respected minds in healthcare are joining Nabla to answer one question: How do we accelerate the next era of AI in care? We work alongside clinicians and health systems at t…
Points: 50 | Comments: 52 | Author: nabla9
In this paper, we continue the study local minimizers of a degenerate version of the Alt-Caffarelli functional. Specifically, we consider local minimizers of the functional $J_{Q}(u, Ω):= \int_Ω |\nabla u|^2 + Q(x)^2χ_{\{u>0\}}dx$ where $Q(x) = di...
We eliminate the existence of cusps in a class of \textit{degenerate} free-boundary problems for the Alt-Caffarelli functional $J_{Q}(v, Ω):= \int_Ω|\nabla v|^2 + Q^2(x)χ_{\{v>0\}}dx,$ so-called because $Q(x) = \text{dist}(x, Γ)^γ$ for $Γ$ an a...
Proposals are made to describe the Weyl scaling transformation laws of supercovariant derivatives $\nabla{}_{\underline A}$, the torsion supertensors $T{}_{{\underline A} \, {\underline B}}{}^{\underline C}$, and curvature supertensors $R{}_{{\underl...
We define Dorfman connections, which are to Courant algebroids what connections are to Lie algebroids. Several examples illustrate this analogy. A linear connection $\nabla\colon \mathfrak{X}(M)\timesΓ(E)\toΓ(E)$ on a vector bundle $E$ over a smoot...
In mathematics, a Hermitian connection ∇ {\displaystyle \nabla } is a connection on a Hermitian vector bundle E {\displaystyle E} over a smooth manifold