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A general method, suitable for fast computing machines, for investigating such properties as equations of state for substances consisting of interacting individual molecules is described. The method consists of a modifie...

From a theory of Hohenberg and Kohn, approximation methods for treating an inhomogeneous system of interacting electrons are developed. These methods are exact for systems of slowly varying or high density. For the groun...

Principles of Optics is one of the classic science books of the twentieth century, and probably the most influential book in optics published in the past 40 years. The new edition is the first ever thoroughly revised and...

Nos\'e has modified Newtonian dynamics so as to reproduce both the canonical and the isothermal-isobaric probability densities in the phase space of an N-body system. He did this by scaling time (with s) and distance (wi...

A density-functional formalism comparable to the Hohenberg-Kohn-Sham theory of the ground state is developed for arbitrary time-dependent systems. It is proven that the single-particle potential $v(\stackrel{\ensuremath{...

Finite systems of deterministic ordinary nonlinear differential equations may be designed to represent forced dissipative hydrodynamic flow. Solutions of these equations can be identified with trajectories in phase space...

Phylogenies are extremely useful tools, not only for establishing genealogical relationships among a group of organisms or their parts (e.g. genes), but also for a variety of research once the phylogenies are estimated. ...

Materias / palabras clave: mathematics, differential equations; Science: Mathematics

Materias / palabras clave: applied mathematics, differential equations, topology, computational mathematics, mathematical physics; Science: Mathematics: Analysis; Technology: Technology (General): Industrial engineering. Management engineering: Ap...

Materias / palabras clave: phase equilibria, equations of state, calorimetry, thermodynamics, mixtures, kinetics; Science: Physics: Heat: Thermodynamics

Materias / palabras clave: numerical methods, differential equations, mathematical physics, mathematical modeling, mechanics of solids; Science: Mathematics

Materias / palabras clave: differential equations, algebra and theory of numbers, probability theory and mathematical statistics, mechanics, computer science and computer engineering, numerical mathematics; Science: Mathematics

Materias / palabras clave: mathematical modeling of physical media and other processes, numerical methods of continuum mechanics, differential and integral equations, dynamical systems, discrete mathematics; Science: Mathematics

Materias / palabras clave: differential equations, dynamical systems and optimal control, computational mathematics, discrete mathematics, theoretical physics, physics and technology of nanostructures; Science: Physics; Science: Mathematics

Materias / palabras clave: applied mathematics, numerical linear algebra, stochastic systems, differential equations, mathematical modelling, imaging and data analysis; Science: Mathematics

Materias / palabras clave: artificial intelligence, differential equations, mathematical modeling, computer science, optimal control; Science: Mathematics

Materias / palabras clave: algebra, analysis, optimization, differential equations, modeling, computer science; Science: Mathematics