In this paper, we prove that for any Kähler metrics $ω_0$ and $χ$ on $M$, there exists $ω_\varphi=ω_0+\sqrt{-1}\partial\bar\partial\varphi>0$ satisfying the J-equation $\mathrm{tr}_{ω_\varphi}χ=c$ if and only if $(M,[ω_0],[χ])$ is uniformly...
本程序为美国NSA的方程式工具包图形界面版，由ABC_123于2017年开始编写，仅用来扫描和验证MS17-010、MS09-050、MS08-067漏洞，并可协助管理员修复系统漏洞。 (⭐ 544)
Looking to upgrade to the new Nox Equation hard. Looking at a round shaped racket with a large sweetspot very maneuverable. I have been playing for 8 months around 60 games with clinics and lessons i...
The Equation Group, also known in China as APT-C-40, is a highly sophisticated threat actor suspected of being tied to the Tailored Access Operations (TAO)
A new type of exact solutions of the full 3 dimensional spatial Helmholtz equation for the case of non-paraxial Gaussian beams is presented here. We consider appropriate representation of the solution for Gaussian beams in a spherical coordinate syst...
Recall school math! (⭐ 14)
The theory of regular variation, in its Karamata and Bojanić-Karamata/de Haan forms, is long established and makes essential use of the Cauchy functional equation. Both forms are subsumed within the recent theory of Beurling regular variation, devel...
Please let me know if I am missing anything major. I wanted a 1 page sheet (double sided) that had all the information needed for essential equations, and couldn't find much that satisfied this re...
The purpose of this work is to test the application of the finite element method to quantum mechanical problems, in particular for solving the Schroedinger equation. We begin with an overview of quantum mechanics, and standard numerical technique...
The Young-Laplace's equation is established based on liquid membrane without shearing resistance. It is not valid for solid. By taking into account the in-plane shearing and transverse shearing within the surface layer, we reconstruct the Young-Lapla...
We consider Mc Kean-Vlasov stochastic differential equations (MVSDEs), which are SDEs where the drift and diffusion coefficients depend not only on the state of the unknown process but also on its probability distribution. This type of SDEs was studi...
We reproduce apparently complex cellular automaton behaviour with simple partial differential equations as developed in (Keane 09). Our PDE model easily explains behaviour observed in selected scenarios of the cellular automaton wargame ISAAC witho...
Tags: julia, numeric, numerical-methods, pde | Score: 1
Tags: implicit, pde | Score: 0
We prove the existence of Cantor families of small amplitude, linearly stable, quasi-periodic solutions of quasi-linear autonomous Hamiltonian generalized KdV equations. We consider the most general quasi-linear quadratic nonlinearity. The proof is b...
A method of direct solution of the Faddeev equations for the bound-state problem with zero total angular momentum is used to calculate the binding energies. The results for binding energies of He$_2$$^6$Li and He$_2$$^7$Li systems and helium atom - H...
In 1983, Wigner outlined a modified Schrödinger--von-Neumann equation of motion for macroobjects, to describe their typical coupling to the environment. This equation has become a principal model of environmental decoherence which is beleived resp...
Using dual perturbation theory in a non-sun-reflexive context, we establish a correspondence between 1. a class of nonlinear abstract delay differential equations (DDEs) with unbounded linear part and an unknown taking values in an arbitrary Banach s...
In this paper, we study the blowup of the $N$-dim Euler or Euler-Poisson equations with repulsive forces, in radial symmetry. We provide a novel integration method to show that the non-trivial classical solutions $(ρ,V)$, with compact support in $[0...
In this paper, we continue to study the blowup problem of the $N$-dimensional compressible Euler or Euler-Poisson equations with repulsive forces, in radial symmetry. In details, we extend the recent result of "M.W. Yuen, \textit{Blowup for the Euler...