In convex geometry and polyhedral combinatorics, the extension complexity of a convex polytope P {\displaystyle P} is the smallest number of facets among...

computing/scientific community, such as artificial life, emergence (and by extension, complexity), genetic algorithms, and agent-based computing. Fields such as...

problems in computer science In computational complexity theory, NP (nondeterministic polynomial time) is a complexity class used to classify decision problems...

theory (a subfield of computer science and mathematics), the Kolmogorov complexity of an object, such as a piece of text, is the length of a shortest computer...

In computational complexity theory, the complexity class FNP is the function problem extension of the decision problem class NP. The name is somewhat...

chromatic thresholds of graphs Thomas Rothvoss for his work on the extension complexity of the matching polytope. 2021: Béla Csaba, Daniela Kühn, Allan Lo...

In computer science, parameterized complexity is a branch of computational complexity theory that focuses on classifying computational problems according...

The sample complexity of a machine learning algorithm represents the number of training-samples that it needs in order to successfully learn a target function...

scientific community, such as: artificial life, emergence (and by extension, complexity), genetic algorithms, and agent-based computing. In 2004, Crichton...

Descriptive complexity is a branch of computational complexity theory and of finite model theory that characterizes complexity classes by the type of logic...

humans perceive relevance, cognitive complexity is defined as an extension of the notion of Kolmogorov complexity. It amounts to the length of the shortest...

This is a list of computability and complexity topics, by Wikipedia page. Computability theory is the part of the theory of computation that deals with...

In logic, extensionality, or extensional equality, refers to principles that judge objects to be equal if they have the same external properties. It stands...

of sparse (mostly zero) factors. As a result, it manages to reduce the complexity of computing the DFT from O ( n 2 ) {\textstyle O(n^{2})} , which arises...

Rothvoss, Thomas (2017). "The Matching Polytope has Exponential Extension Complexity". Journal of the ACM. 64 (6): 41:1–41:19. arXiv:1311.2369. doi:10...

In computational complexity theory, SP 2 is a complexity class, intermediate between the first and second levels of the polynomial hierarchy. A language...

generally relatively short and simple. As there is no limit on size or complexity, script is subjective. A few lines of code without branching is probably...

In propositional calculus and proof complexity a propositional proof system (pps), also called a Cook–Reckhow propositional proof system, is a system for...

2014 Thomas Rothvoss (2014), "The matching polytope has exponential extension complexity" Shafi Goldwasser (2014), "The Cryptographic Lens" (Turing Award...

mathematically as instances of the precoloring extension problem on Sudoku graphs. Colbourn, Charles J. (1984), "The complexity of completing partial Latin squares"...

complexes in Wiktionary, the free dictionary. Complex commonly refers to: Complexity, the behaviour of a system whose components interact in multiple ways...

FMA4 Advanced Vector Extensions (AVX, also known as Gesher New Instructions and then Sandy Bridge New Instructions) are SIMD extensions to the x86 instruction...

complicated shapes that the full richness and geometric complexity of 4D spaces emerge. A hint of that complexity can be seen in the accompanying 2D animation of...

Descriptive Complexity is a book in mathematical logic and computational complexity theory by Neil Immerman. It concerns descriptive complexity theory, an...

In computability theory, computational complexity theory and proof theory, a fast-growing hierarchy (also called an extended Grzegorczyk hierarchy, or...

"theory of the business" or natural extension of the mindset or ideological perspective of the organization. Complexity theorists define strategy as the...

for project management to be effective. Complexity can be: Structural complexity (also known as detail complexity, or complicatedness), i.e. consisting...

Skolem's proof of the Löwenheim–Skolem theorem, lets us sharply reduce the complexity of the generic formula φ {\displaystyle \varphi } we need to prove the...

In combinatorics, a branch of mathematics, a weighted matroid is a matroid endowed with a function that assigns a weight to each element. Formally, let...

be performed without one, but are sometimes added due to weaker bases, complexity of a stunt, or an uneven number of athletes. Additional Spot: Additional...