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In computer science, parameterized complexity is a branch of computational complexity theory that focuses on classifying computational problems according to their inherent difficulty with respect to multiple parameters of the input.
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In mathematics and computer science, an algorithm ( originating from al-Khwārizmī, the famous Persian mathematician Muḥammad ibn Mūsā al-Khwārizmī ) is a step-by-step procedure for calculations.
* Program analysis ( computer science ) – the process of automatically analyzing the behavior of computer programs
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He was highly influential in the development of computer science, giving a formalisation of the concepts of " algorithm " and " computation " with the Turing machine, which can be considered a model of a general purpose computer.
Turing is widely considered to be the father of computer science and artificial intelligence.
Babbage understood that the existence of an automatic computer would kindle interest in the field now known as algorithmic efficiency, writing in his Passages from the Life of a Philosopher, " As soon as an Analytical Engine exists, it will necessarily guide the future course of the science.
In algorithmic information theory ( a subfield of computer science ), the Kolmogorov complexity of an object, such as a piece of text, is a measure of the computational resources needed to specify the object.
Algorithmic information theory is the area of computer science that studies Kolmogorov complexity and other complexity measures on strings ( or other data structures ).
In computer science, an array data structure or simply an array is a data structure consisting of a collection of elements ( values or variables ), each identified by at least one array index or key.
The term is also used, especially in the description of algorithms, to mean associative array or " abstract array ", a theoretical computer science model ( an abstract data type or ADT ) intended to capture the essential properties of arrays.
In computer science, an AVL tree is a self-balancing binary search tree, and it was the first such data structure to be invented.
Category: 1962 in computer science
In computer science, the analysis of algorithms is the determination of the number of resources ( such as time and storage ) necessary to execute them.
Run-time efficiency is a topic of great interest in computer science: A program can take seconds, hours or even years to finish executing, depending on which algorithm it implements ( see also performance analysis, which is the analysis of an algorithm's run-time in practice ).
In computer science, an abstract data type ( ADT ) is a mathematical model for a certain class of data structures that have similar behavior ; or for certain data types of one or more programming languages that have similar semantics.
This cutting-edge technology has a promising potential of leading a new revolution in science as integrated circuits did in computer developments.
* Alternating Turing machine, model of computation used in theoretical computer science
* Program analysis ( computer science )
* Artificial intelligence, a branch of computer science.
* List of open problems in computer science
In a category with exponentials, using the isomorphism ( in computer science, this is called currying ), the Ackermann function may be defined via primitive recursion over higher-order functionals as follows:
computer and parameterized
In computer science, a parameterized macro is a type of macro that is able to insert given objects into its expansion.
computer and complexity
In computational complexity theory, BQP ( bounded error quantum polynomial time ) is the class of decision problems solvable by a quantum computer in polynomial time, with an error probability of at most 1 / 3 for all instances.
Some, such as computational complexity theory, which studies fundamental properties of computational problems, are highly abstract, while others, such as computer graphics, emphasize real-world applications.
Some fields, such as computational complexity theory ( which explores the fundamental properties of computational problems ), are highly abstract, whilst fields such as computer graphics emphasise real-world applications.
The complexity and anonymity of computer systems may help criminal employees camouflage their operations.
* Computational complexity theory, a field in theoretical computer science and mathematics
As a result, the growth was accompanied by growing pains: project failure was common, and the field of computer science was still in its early years, and the ambitions for project scale and complexity exceeded the market capability to deliver adequate products within a planned budget.
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.
* Knuth's article about the computational complexity of songs, " The Complexity of Songs ", was reprinted twice in computer science journals.
Currently, one of the most famous open problems in theoretical computer science is the P = NP problem, which involves the relationship between the complexity classes P and NP.
* Melanie Mitchell – computer scientist and complexity theorist
Expander constructions have spawned research in pure and applied mathematics, with several applications to complexity theory, design of robust computer networks, and the theory of error-correcting codes.
" At the same time the unusual nature of the proof — it was the first major theorem to be proven with extensive computer assistance — and the complexity of the human verifiable portion, aroused considerable controversy.
The proof involved checking the properties of 1, 936 configurations by computer, and was not fully accepted at the time due to its complexity.
Other evidence that irreducible complexity is not a problem for evolution comes from the field of computer science, where computer analogues of the processes of evolution are routinely used to automatically design complex solutions to problems.
The problem often arises in resource allocation where there are financial constraints and is studied in fields such as combinatorics, computer science, complexity theory, cryptography and applied mathematics.
# All mathematical aspects of computer science, including complexity theory, logic of programming languages, analysis of algorithms, cryptography, computer vision, pattern recognition, information processing and modelling of intelligence.
In complexity theory, the class NC ( for " Nick's Class ") is the set of decision problems decidable in polylogarithmic time on a parallel computer with a polynomial number of processors.
Because programmers are less tied to the complexity of the computer, their programs can do more computing with less effort from the programmer.
The capacity of a quantum computer to accelerate classical algorithms has rigid limits — upper bounds of quantum computation's complexity.
The term was used to describe the impact of rapid increases in computer power and the complexity of the problems that could be tackled.
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