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See all on WikipediaIn theoretical computer science, a computational problem is a problem that may be solved by an algorithm. For example, the problem of factoring "Given a positive integer n, find a nontrivial prime factor of n." is a computational problem. A computational problem can be viewed as a set of instances or … See more
Decision problem
A decision problem is a computational problem where the answer for every instance is either yes or no. An example of a decision problem is See moreIn computational complexity theory, it is usually implicitly assumed that any string in {0, 1} represents an instance of the computational … See more
• Lateral computing, alternative approaches to solving problems computationally
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In theoretical computer science and mathematics, the theory of computation is the branch that deals with what problems can be solved on a model of computation, using an algorithm, how efficiently they can be solved or to what degree (e.g., approximate solutions versus precise ones). The field is divided into three major branches: automata theory and formal languages, computability theory, and computational complexity theory
Wikipedia · Text under CC-BY-SA licenseWEBCurrently, computational mathematics can refer to or include: Solving mathematical problems by computer simulation as opposed to traditional engineering methods. Mathematical economics, the use of mathematics in economics, finance and, to certain extents, of accounting.
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WEBIn theoretical computer science and mathematics, computational complexity theory focuses on classifying computational problems according to their resource usage, and relating these classes to each other. A …
WEBThis category lists computational problems, formal problems in theoretical computer science which are studied in computational complexity theory.
WEBIn computability theory and computational complexity theory, a decision problem is a computational problem that can be posed as a yes–no question of the input values. An example of a decision problem is deciding by means of an algorithm whether a given natural number is prime.
WEBComputational science, also known as scientific computing, technical computing or scientific computation (SC), is a division of science that uses advanced computing capabilities to understand and solve complex physical problems. This includes
What Is a Computational Problem? - All About AI
WEBDec 4, 2023 · In the context of artificial intelligence, a computational problem is a task or a question that can be addressed and solved using computational methods. This involves formulating the problem in such a way that it allows for computer or AI system processing, leading to the generation of a solution or response.
MIT CSAIL Theory of Computation
WEBTheory of Computation (TOC) is the study of the inherent capabilities and limitations of computers: not just the computers of today, but any computers that could ever be built. By its nature, the subject is close to mathematics, with progress made by conjectures, theorems, and proofs.
WEBMar 9, 2022 · A computational problem is a problem in which we want to compute something. – Yuval Filmus. Mar 9, 2022 at 8:33. In a way you are right, every mathematical statement should be provable by formal computation from axioms (but for Gödel's limitations). When they say computational, they mean that you want an explicit …
Computability and Complexity - Stanford Encyclopedia …
WEBJun 24, 2004 · 1. What can be computed in principle? Introduction and History. In the 1930’s, well before there were computers, various mathematicians from around the world invented precise, independent …
Theory of computation - Simple English Wikipedia, the free …
WEBThe theory of computation is a branch of mathematics. Generally it is seen as belonging to computer science. The field of study of this subject is to see if a certain problem can be solved by a computer. If this is the case, then the question is to know if it can be solved in an efficient way. There are two major branches in it.
WEB1 Computational Problems. In a computational problem, we are given an input that, without loss of generality, we assume to be encoded over the alphabet f0; 1g, and we want to return as output a solution satisfying some property: a computational problem is then described by the property that the output has to satisfy given the input.
Computational Complexity Theory - Stanford Encyclopedia of …
WEBJul 27, 2015 · Computational complexity theory is a subfield of theoretical computer science one of whose primary goals is to classify and compare the practical difficulty of solving problems about finite combinatorial objects – e.g. given two natural numbers \ (n\) and \ (m\), are they relatively prime?
Computational problem - Wikipedia
WEBIn theoretical computer science, a computational problem is a mathematical object representing a collection of questions that computers might be able to solve. For example, the problem of factoring "Given a positive integer n, find a nontrivial prime factor of n." is a computational problem.
Computational mathematics - Encyclopedia of Mathematics
WEBDec 31, 2018 · The branch of mathematics dealing with problems involving the use of a computer. The meaning now assigned to the term cannot be considered as definite, since this domain of mathematics is at present in intensive development brought about by the ever-increasing range of computer applications.
Definition:Computational Problem - ProofWiki
WEBA computational problem is a mathematical object which represents a collection of questions that are to be solved by algorithmic techniques . Sources. 1990: Thomas H. Cormen , Charles E. Leiserson and Ronald L. Rivest: Introduction to Algorithms ... (previous) ... (next) Categories: Definitions/Computer Science. Definitions/Algorithms.
Computational thinking & problem-solving - Computer Science Wiki
WEBFeb 14, 2021 · Computational Thinking (CT) is a process that generalizes a solution to open-ended problems. Open-ended problems encourage full, meaningful answers based on multiple variables, which require using decomposition, data representation, generalization, modeling, and algorithms found in Computational Thinking.
Computational problem - Computer Science Stack Exchange
WEBOct 1, 2015 · A computational problem is a mathematical object representing a collection of questions that computers might be able to solve. For example, the problem of factoring "Given a positive integer n, find a nontrivial prime factor of n."
Computational complexity - Cornell University Computational ...
WEBDec 21, 2020 · Computational complexity refers to the amount of resources needed to solve a problem. Complexity increases as the amount of resources required increases. While this notion may seem straightforward enough, …
Notes to Computational Complexity Theory - Stanford …
WEB1. The problem \ (\sc {TSP}\) served as a particularly important example in the early development of complexity theory. It was first formulated as an optimization problem in the 19th century relative to the interpretation where the vertices of \ (G\) are understood to be cities, its edges as roads, and their weights as distances (Schrijver 2005).
Quantum Computing - Stanford Encyclopedia of Philosophy
WEBDec 3, 2006 · Quantum Computing. First published Sun Dec 3, 2006; substantive revision Tue Mar 5, 2024. Combining physics, mathematics and computer science, quantum computing and its sister discipline of quantum information have developed in the past few decades from visionary ideas to two of the most fascinating areas of quantum …
Computational Philosophy - Stanford Encyclopedia of Philosophy
WEBMar 16, 2020 · Computational philosophy is the use of mechanized computational techniques to instantiate, extend, and amplify philosophical research. Computational philosophy is not philosophy of computers or computational techniques; it is rather philosophy using computers and computational techniques.
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