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Gaming is powered by a passionate community that does not want to see these worlds collapse into AI slop. The future may ...

The function newtoniansquare([x,y], p) computes a matrix of Newtonian potentials of Legendre polynomials on the unit square $Ω := [-1,1]^2$. That is it computes ...

The study of the Fermi-Dirac integral has notable implications ranging from the determination of the electronic concentration in AlGaN/GaN heterostructures to the calculation of the AlGaN/GaN current ...

The derivative and integral in calculus are both exact values. To explain this reason, the integration interval can be infinitely subdivided. The difference in area between curved trapezoids and ...

Mr. Edsall contributes a weekly column from Washington, D.C., on politics, demographics and inequality. See more of our coverage in your search results.Encuentra más de nuestra cobertura en los ...

The most powerful formula in physics starts with a slender S, the symbol for a sort of sum known as an integral. Further along comes a second S, representing a quantity known as action. Together, ...

ABSTRACT: We prove that the density function of the gradient of a sufficiently smooth function , obtained via a random variable transformation of a uniformly distributed random variable, is ...

Abstract: This paper aims at extending the study of Sugeno integrals on bounded distributive lattices, also including several linguistic scales. We introduce, study, and discuss linear approximations ...

FDINT is a free, open-source python package that provides fast, double precision (64-bit floating point) approximations to the Fermi-Dirac integrals of integer and half integer order, based on the ...