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Stan is a probabilistic programming language for specifying statistical models. A Stan program imperatively defines a log probability function over parameters conditioned on specified data and constants. As of version 2....

Much of the complexity within cells arises from functional and regulatory interactions among proteins. The core of these interactions is increasingly known, but novel interactions continue to be discovered, and the infor...

Subjects / keywords: nonsmooth analysis, nonsmooth optimization, variational analysis, equilibrium problems, stochastic optimization, bilevel optimization; Science

Subjects / keywords: functional analysis, approximation theory, iteration methods, fixed point theory, nonsmooth analysis, variational analysis; Science: Mathematics

Subjects / keywords: mathematics, mathematical analysis, variational problem, functional analysis, differential equations; Science: Mathematics

Subjects / keywords: Isotropy; Moduli; Elasticity (physics); Elastic modulus; Homogeneous; Linear elasticity; Isotropic solid; Mathematics; Phase (matter); Tensor (intrinsic definition); Upper and lower bounds; Mathematical analysis

A method for accurate and efficient local density functional calculations (LDF) on molecules is described and presented with results. The method, Dmol for short, uses fast convergent three-dimensional numerical integrati...

Abstract An element‐free Galerkin method which is applicable to arbitrary shapes but requires only nodal data is applied to elasticity and heat conduction problems. In this method, moving least‐squares interpolants a...

Two approximate methods for solving the band-structure problem in an efficient and physically transparent way are presented and discussed in detail. The variational principle for the one-electron Hamiltonian is used in b...