* Extremal optimization, a type of optimization heuristic inspired by self-organized criticality

Extremal graph theory studies extremal ( maximal or minimal ) graphs which satisfy a certain property.

Extremal combinatorics is a field of combinatorics, which is itself a part of mathematics.

These views on the difficulty or impossibility of finding general global extremal principles are consistent with the views of Glansdorff and Prigogine ( 1971 ), and of Lebon, Jou and Casas-Vásquez ( 2008 ), and of Šilhavý ( 1997 ), noted in the Wikipedia article on Extremal principles in non-equilibrium thermodynamics, though more restricted local principles may exist.

Extremal graph theory started in 1941 when Turán proved his theorem determining those graphs of order n, not containing the complete graph K < sub > k </ sub > of order k, and extremal with respect to size ( that is, with as many edges as possible ).

Extremal black holes have vanishing surface gravity.

Extremal graph theory is a branch of the mathematical field of graph theory.

Extremal graph theory, Vol.

Extremal combinatorics studies how large or how small a collection of finite objects ( numbers, graphs, vectors, sets, etc.

Unlike the critical points in, however, the critical points in h occur at local minima, so numerical optimization techniques can be used to find them.

The specification of the objective function of which the optimization is desired.

It also supports optional type annotation and casting, which can be added as necessary at the later profiling and optimization stages, to permit the compiler to generate more efficient code.

Lastly, the Scheme standards documents require tail-call optimization, which the CL standard does not.

A number of respected monthly publications, including the popular science magazine " Наука и жизнь " (" Science and Life "), featured special columns, dedicated to optimization techniques for calculator programmers and updates on undocumented features for hackers, which grew into a whole esoteric science with many branches, known as " yeggogology " (" еггогология ").

They are also related to optimization problems, which are concerned with finding the best answer to a particular problem.

The purpose of query optimization, which is an automated process, is to find the way to process a given query in minimum time.

Thus query optimization typically tries to approximate the optimum by comparing several common-sense alternatives to provide in a reasonable time a " good enough " plan which typically does not deviate much from the best possible result.

The purpose of query optimization, which is an automated process, is to find the way to process a given query in minimum time.

Thus query optimization typically tries to approximate the optimum by comparing several common-sense alternatives to provide in a reasonable time a " good enough " plan which typically does not deviate much from the best possible result.

* Loop fusion, a compiler optimization which replaces multiple loops with a single one

For example, one of IBM's FORTRAN compilers ( H Extended IUP ) had a level of optimization which reordered the machine code instructions to keep multiple internal arithmetic units busy simultaneously.

* While the decision problem is NP-complete the optimization problem is NP-hard, its resolution is at least as difficult as the decision problem, and there is no known polynomial algorithm which can tell, given a solution, whether it is optimal ( which would mean that there is no solution with a larger, thus solving the decision problem NP-complete ).

A technique similar to self-modifying code, function templates, is used to maximize the speed of the dithering engine without using assembler optimization, which is non-portable.

The most common choice in optimization of parameters is the root mean square criterion which is also called the autocorrelation criterion.

Another point of interest is that large amounts of commercial compiled code were analyzed for clues as to which instructions would be the best candidates for performance optimization.

Python's developers strive to avoid premature optimization, and moreover, reject patches to non-critical parts of CPython which would offer a marginal increase in speed at the cost of clarity.

Perl scripts might wish to employ Image-Pngslimmer which allows some dynamic optimization.

* L-reduction, a transformation of optimization problems which keeps the approximability features

Therefore, referential transparency allows us to reason about our code which will lead to more robust programs, the possibility of finding bugs that we couldn't hope to find by testing, and the possibility of seeing opportunities for optimization.

Cook conjectures that there are optimization problems ( with easily checkable solutions ) which cannot be solved by efficient algorithms, i. e., P is not equal to NP.

Domain names are often seen in analogy to real estate in that ( 1 ) domain names are foundations on which a website ( like a house or commercial building ) can be built and ( 2 ) the highest " quality " domain names, like sought-after real estate, tend to carry significant value, usually due to their online brand-building potential, use in advertising, search engine optimization, and many other criteria.

Genetic algorithms belong to the larger class of evolutionary algorithms ( EA ), which generate solutions to optimization problems using techniques inspired by natural evolution, such as inheritance, mutation, selection, and crossover.

In a genetic algorithm, a population of strings ( called chromosomes or the genotype of the genome ), which encode candidate solutions ( called individuals, creatures, or phenotypes ) to an optimization problem, is evolved toward better solutions.

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

** for their fundamental path-breaking work in combinatorial optimization.

* Program optimization, improving software to make it work more efficiently or use fewer resources

Although Barricelli, in work he reported in 1963, had simulated the evolution of ability to play a simple game, artificial evolution became a widely recognized optimization method as a result of the work of Ingo Rechenberg and Hans-Paul Schwefel in the 1960s and early 1970s – Rechenberg's group was able to solve complex engineering problems through evolution strategies.

They typically work for industries with automated processes, such as chemical or manufacturing plants, with the goal of improving system productivity, reliability, safety, optimization, and stability.

Repositioning within the port hinterland has also been the focus of recent logistics optimization work.

John R. Koza is a computer scientist and a former consulting professor at Stanford University, most notable for his work in pioneering the use of genetic programming for the optimization of complex problems.

About half of the remaining employees were to work on propagating the LongRun2 power optimization technology within Sony products.

In computer science, program optimization or software optimization is the process of modifying a software system to make some aspect of it work more efficiently or use fewer resources.

Sociotechnical theory therefore is about joint optimization, with a shared emphasis on achievement of both excellence in technical performance and quality in people's work lives.

In artificial intelligence, stochastic programs work by using probabilistic methods to solve problems, as in simulated annealing, stochastic neural networks, stochastic optimization, genetic algorithms, and genetic programming.

Today, task-oriented optimization of work tasks is nearly ubiquitous in industry.

As part of the reclamation work undertaken by the Provincial government, an environmental monitoring program is under way to determine the recovery of Britannia Creek and Howe Sound subsequent to the 2200 plug diversion ( 2001 by UBC ), startup of the water plant ( 2005 by the Provincial Government ), startup of the groundwater management system and optimization ( 2005-2008 by the Provincial Government ), and other reclamation activities ( 2003-2010 by the Provincial Government ).

The gradient methods unique to the MDO community derive from the combination of optimality criteria with math programming, first recognized in the seminal work of Fleury and Schmit who constructed a framework of approximation concepts for structural optimization.

Interventions can include exercise, education, emotional support, oxygen, noninvasive mechanical ventilation, optimization of airway secretion clearance, promoting compliance with medical care to reduce numbers of exacerbations and hospitalizations, and returning to work and / or a more active and emotionally satisfying life.

* 1989, the work of Goss, Aron, Deneubourg and Pasteels on the collective behavior of Argentine ants, which will give the idea of Ant colony optimization algorithms ;

Solutions of this kind work by weakening the assumption of continuous optimization, for example by supposing that consumers adopt satisficing rules rather than optimizing.

Topology optimization is distinct from shape optimization since typically shape optimisation methods work in a subset of allowable shapes which have fixed topological properties, such as having a fixed number of holes in them.

Here most work studied conjunctive queries, which admit query optimization even under constraints using the chase algorithm.

Such methods are needed since typically shape optimization methods work in a subset of allowable shapes which have fixed topological properties, such as having a fixed number of holes in them.

Topological optimization techniques can then help work around the limitations of pure shape optimization.