The concept and theory of Kolmogorov Complexity is based on a crucial theorem first discovered by Ray Solomonoff, who published it in 1960, describing it in " A Preliminary Report on a General Theory of Inductive Inference " as part of his invention of algorithmic probability.

Complexity theory may refer to:

:* Complexity theory and organizations, the application of complexity theory to strategy

:* Complexity economics, the application of complexity theory to economics

* Complexity class, a set of problems of related complexity in computational complexity theory

Computational complexity theory | Complexity studies the time taken by algorithm s, such as this Quicksort | sorting routine.

Complexity theory considers not only whether a problem can be solved at all on a computer, but also how efficiently the problem can be solved.

His seminal paper, The Complexity of Theorem Proving Procedures, presented at the 1971 ACM SIGACT Symposium on the Theory of Computing, laid the foundations for the theory of NP-Completeness.

Complexity theory studies such systems.

Complexity theory is rooted in chaos theory, which in turn has its origins more than a century ago in the work of the French mathematician Henri Poincaré.

* Graeme Donald Snooks, " A general theory of complex living systems: Exploring the demand side of dynamics ", Complexity, vol.

* Complexity theory and organizations

Complexity theory ( also called " science of complexity "), is a contemporary heir of systems thinking.

In this theory, developed by Teilhard in The Future of Man ( 1950 ), the universe is constantly developing towards higher levels of material complexity and consciousness, a theory of evolution that Teilhard called the Law of Complexity / Consciousness.

Advanced the concepts, theory and method on system science: open complex giant system, from qualitative to quantitative integration of Hall for Workshop of comprehensive and integrated system, and opened up a Chinese school of the Science of Complexity.

Complexity, logic, and recursion theory, Lecture Notes in Pure and Appl.

# REDIRECT Complexity theory

* Graeme Donald Snooks, " A general theory of complex living systems: Exploring the demand side of dynamics ", Complexity, vol.

A recent synthesis of relational theory, called R-theory, continuing the work of the mathematical biologist Robert Rosen developed " Relational Biology " and " Relational Complexity " as theories of life ( takes a position between the above views.

Complexity theory studies the asymptotic difficulty of problems, so generalizations of games are needed, as games on a fixed size of board are finite problems.

Complexity is about how a huge number of extremely complicated and dynamic sets of relationships can generate some simple behavioral patterns, whereas chaotic behavior, in the sense of deterministic chaos, is the result of a relatively small number of non-linear interactions.

Bogdanov's Tectology outlined the concepts and concerns of Complexity Theory a full 50 years in advance of chaos and fractal mathematics.

*" The Flagellum Unspun: The Collapse of " Irreducible Complexity " by Professor Miller

139 page in-depth analysis of Intelligent Design, Irreducible Complexity, and the book " Of Pandas and People " by a judge and based on expert testimony

A few years later, in his seminal 1971 paper " The Complexity of Theorem Proving Procedures ", Cook formalized the notions of polynomial-time reduction ( a. k. a. Cook reduction ) and NP-completeness, and proved the existence of an NP-complete problem by showing that the Boolean satisfiability problem ( usually known as SAT ) is NP-complete.

* Complexity — extra work must be done by the DBAs to ensure that the distributed nature of the system is transparent.

He published his " gentle manifesto, " Complexity and Contradiction in Architecture " in 1966, described in the introduction by Vincent Scully to be " probably the most important writing on the making of architecture since Le Corbusier's ' Vers Une Architecture ', of 1923.

The Product Space | Product Space Localization, intended to show the List of countries by economic complexity | Economic Complexity of a given economy

The Product Exports Treemaps are one of the most recent applications of these kind of visualizations, developed by the Harvard-MIT The Observatory of Economic Complexity | Observatory of Economic Complexity

* Logical Foundations of Proof Complexity by Stephen A. Cook and Phuong The Nguyen

Complexity in the life sciences ( or biocomplexity ) is defined by the " properties emerging from the interplay of behavioral, biological, physical, and social interactions that affect, sustain, or are modified by living organisms, including humans ".

Marvin Gaye: A Life Marked by Complexity.

* Paper " Expressiveness and Complexity of Crosscut Languages " by Karl J. Lieberherr, Jeffrey Palm and Ravi Sundaram

However, the technique was first formally introduced by Robert Tarjan in his paper Amortized Computational Complexity, which addressed the need for a more useful form of analysis than the common probabilistic methods used.

Complexity, Problem Solving, and Sustainable Societies is a paper on energy economics by Joseph Tainter from 1996.

Though often atonal, highly abstract, and dissonant in sound, the " New Complexity " is most readily characterized by the use of techniques which require complex musical notation.

* Video lectures by Timothy Gowers on Computational Complexity and Quantum Computation

The conference proceedings were published as a book in 2003: Animal Social Complexity: Intelligence, Culture, and Individualized Societies, edited by Frans de Waal and Peter L. Tyack.

Zero-knowledge proofs were first conceived in 1985 by Shafi Goldwasser, Silvio Micali, and Charles Rackoff in a draft of " The Knowledge Complexity of Interactive Proof-Systems ".

* MaestroGenesis MaestroGenesis is a freely available tool developed by the Evolutionary Complexity Research Group that helps amateur musicians compose and generate musical ideas.

: Complexity classes of formal languages defined by time-and tape-bounded Turing acceptors are studied with the aim of showing sufficient conditions for these classes to be AFLs and to be principal AFLs.