Computational complexity theory is a branch of the theory of computation in theoretical computer science and mathematics that focuses on classifying computational problems according to their inherent difficulty, and relating those classes to each other.

In mathematics and computational geometry, a Delaunay triangulation for a set P of points in a plane is a triangulation DT ( P ) such that no point in P is inside the circumcircle of any triangle in DT ( P ).

In mathematics and computer science, mutual recursion is a form of recursion where two mathematical or computational functions are defined in terms of each other.

A viable and interesting alternative to regarding the numbers as a completed infinity, one that leads to great simplifications in some areas of mathematics and that has strong connections with problems of computational complexity.

Approximately one-third of the laboratory's technical staff members are physicists, one quarter are engineers, one-sixth are chemists and materials scientists, and the remainder work in mathematics and computational science, biology, geoscience, and other disciplines.

Genetic algorithms find application in bioinformatics, phylogenetics, computational science, engineering, economics, chemistry, manufacturing, mathematics, physics and other fields.

There are two styles of mathematics tossups ; computational and non-computational.

As such, many pyramidal quiz bowl formats will ask fewer or even no questions about computational mathematics when compared to formats that are not primarily pyramidal.

* add-ons for use in applied mathematics such as physics, bioinformatics, computational chemistry and packages for physical computation

Currently, Pisanski is a professor of discrete and computational mathematics at the University of Ljubljana.

* Mathematical Sciences-Offering pure, applied and computational mathematics and mathematical physics.

The Sonia Kovalevsky Lecture is sponsored annually by the AWM, and is intended to highlight significant contributions of women in the fields of applied or computational mathematics.

Facts about the computational aspects of the lemma suggest that no proof can be given that would be considered constructive by the main schools of constructive mathematics.

In addition, Sandia is home to a wide variety of research including computational biology, mathematics ( through its Computer Science Research Institute ), materials science, alternative energy, psychology, MEMS, and cognitive science initiatives.

Quasi-empiricism in mathematics is the attempt in the philosophy of mathematics to direct philosophers ' attention to mathematical practice, in particular, relations with physics, social sciences, and computational mathematics, rather than solely to issues in the foundations of mathematics.

In some cases these questions may be sufficiently answered through the study of formal theories, in disciplines such as reverse mathematics and computational complexity theory.

He is a professor of discrete and computational mathematics at the University of Ljubljana.

More than ever, school mathematics must include an understanding of how to use technology to arrive meaningfully at solutions to problems instead of endless attention to increasingly outdated computational tedium.

The Dirac Prize is the name of four prominent awards in the field of theoretical physics, computational chemistry, and mathematics, awarded by different organizations, named in honour of Professor Paul Dirac, one of the great theoretical physicists of the 20th Century.

* Prof. Franklin Luk, Vice-President ( Academic ), Director of Institute of Computational Mathematics, Chair Professor in Mathematics, and a renowned scholar in computational mathematics.

Local search algorithms are widely applied to numerous hard computational problems, including problems from computer science ( particularly artificial intelligence ), mathematics, operations research, engineering, and bioinformatics.

His research focuses on preconditioned iterative methods for solving linear and nonlinear systems, with applications in computational physics, material science, and mathematical biology.

In one application, it is actually a benefit: the password-hashing method used in OpenBSD uses an algorithm derived from Blowfish that makes use of the slow key schedule ; the idea is that the extra computational effort required gives protection against dictionary attacks.

The term theoretical chemistry may be defined as a mathematical description of chemistry, whereas computational chemistry is usually used when a mathematical method is sufficiently well developed that it can be automated for implementation on a computer.

They are very important in computational chemistry for treating large molecules where the full Hartree – Fock method without the approximations is too expensive.

To the best of publicly available information, there is no known method which will allow a person or group to break PGP encryption by cryptographic or computational means.

Though this method is less developed than post Hartree – Fock methods, its significantly lower computational requirements ( scaling typically no worse than with respect to basis functions ) allow it to tackle larger polyatomic molecules and even macromolecules.

Hoffmann has investigated both organic and inorganic substances, developing computational tools and methods such as the extended Hückel method, which he proposed in 1963.

In computational statistics, stratified sampling is a method of variance reduction when Monte Carlo methods are used to estimate population statistics from a known population.

Common applications of the finite difference method are in computational science and engineering disciplines, such as thermal engineering, fluid mechanics, etc.

* Particle swarm optimization ( PSO ) is a computational method for multi-parameter optimization which also uses population-based approach.

Since 3D models are the typical primary output for CAD design, users in these industries require an efficient and accurate method of generating 2D computational drawings directly from the 3D models.

* Møller – Plesset perturbation theory, a post-Hartree – Fock method used in computational chemistry

However, in proceeding with a scientific investigation of computational systems, Wolfram eventually came to the conclusion that an entirely new method is needed.

Through a combination of experiment and theoretical positioning, the book introduces a method that Wolfram argues is the most realistic way to make scientific progress with computational systems, casting A New Kind of Science as a " kind " of science, and allows its principles to be potentially applicable in a wide range of fields, like living organisms, ecology, society and traffic.

One method for reducing the computational demands of dynamic programming, which relies on the " sum of pairs " objective function, has been implemented in the MSA software package.

Birge-Vieta's method combines Horner's method of polynomial evaluation with Newton-Raphson to provide a computational speed-up.

This procedure is called the vortex panel method of computational fluid dynamics.

This latter problem provided significant motivation for the development of the Monte Carlo method in computational physics by Nicholas Metropolis and Stanislaw Ulam.

* Hartree – Fock method, a calculation scheme in the field of computational chemistry

* Monte Carlo method, a class of computational algorithms

Another computational method, IPRO, successfully engineered the switching of cofactor specificity of Candida boidinii xylose reductase.

To investigate the possibility of engineering EcBfr for modified structural stability, a semi-empirical computational method is used to virtually explore the energy differences of the 480 possible mutants at the dimeric interface relative to the wild-type EcBfr.

The method is frequently used for conditionally invoking test / debugging code without requiring additional computational overhead for every input / output cycle.

Quantum chemistry methods, Møller – Plesset perturbation theory, coupled cluster method or full configuration interaction can give extremely accurate results, but require large computational cost.