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Dynamization
In computer science, dynamization is the process of transforming a static data structure into a dynamic one. Although static data structures may provide very good functionality and fast queries, their utility is limited because of their inability to grow/shrink quickly, thus making them inapplicable for the solution of dynamic problems, where the input data changes. Dynamization techniques provide uniform ways of creating dynamic data structures. Decomposable search problems We define problem P of searching for the predicate M match in the set S as P(M,S). Problem P is ''decomposable'' if the set S can be decomposed into subsets S_i and there exists an operation + of result unification such that P(M,S) = P(M,S_0) + P(M,S_1) + \dots + P(M,S_n). Decomposition Decomposition is a term used in computer science to break static data structures into smaller units of unequal size. The basic principle is the idea that any decimal number can be translated into a representation in any othe ...
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Computer Science
Computer science is the study of computation, information, and automation. Computer science spans Theoretical computer science, theoretical disciplines (such as algorithms, theory of computation, and information theory) to Applied science, applied disciplines (including the design and implementation of Computer architecture, hardware and Software engineering, software). Algorithms and data structures are central to computer science. The theory of computation concerns abstract models of computation and general classes of computational problem, problems that can be solved using them. The fields of cryptography and computer security involve studying the means for secure communication and preventing security vulnerabilities. Computer graphics (computer science), Computer graphics and computational geometry address the generation of images. Programming language theory considers different ways to describe computational processes, and database theory concerns the management of re ...
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Static Data Structure
Static may refer to: Places *Static Nunatak, in Antarctica * Static, Kentucky and Tennessee, U.S. * Static Peak, a mountain in Wyoming, U.S. ** Static Peak Divide, a mountain pass near the peak Science and technology Physics *Static electricity, a net charge of an object **Triboelectric effect, due to frictional contact between different materials * Static spacetime, a spacetime having a global, non-vanishing, timelike Killing vector field which is irrotational *Statics, a branch of physics concerned with physical systems in equilibrium **Hydrostatics, the branch of fluid mechanics that studies fluids at rest Engineering *Static pressure, in aircraft instrumentation and fluid dynamics ** Static port, a proprietary sensor used on aircraft to measure static pressure *White noise or static noise, a random signal with a flat power spectral density **Radio noise, in radio reception ** Noise (video), the random black-and-white image produced by televisions attempting to display a weak o ...
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Dynamic Data Structure
Dynamics (from Greek δυναμικός ''dynamikos'' "powerful", from δύναμις ''dynamis'' "power") or dynamic may refer to: Physics and engineering * Dynamics (mechanics), the study of forces and their effect on motion Brands and enterprises * Dynamic (record label), an Italian record label in Genoa Mathematics * Dynamical system, a concept describing a point's time dependency ** Topological dynamics, the study of dynamical systems from the viewpoint of general topology * Symbolic dynamics, a method to model dynamical systems Social science * Group dynamics, the study of social group processes especially * Population dynamics, in life sciences, the changes in the composition of a population * Psychodynamics, the study of psychological forces driving human behavior * Social dynamics, the ability of a society to react to changes * Spiral Dynamics, a social development theory Other uses * Dynamics (music), the softness or loudness of a sound or note * DTA Dynamic, a ...
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Dynamic Problem (algorithms)
Dynamic problems in computational complexity theory are problems stated in terms of changing input data. In its most general form, a problem in this category is usually stated as follows: * Given a class of input objects, find efficient algorithms and data structures to answer a certain query about a set of input objects each time the input data is modified, i.e., objects are inserted or deleted. Problems in this class have the following measures of complexity: * Space the amount of memory space required to store the data structure; * Initialization time time required for the initial construction of the data structure; * Insertion time time required for the update of the data structure when one more input element is added; * Deletion time time required for the update of the data structure when an input element is deleted; * Query time time required to answer a query; * Other operations specific to the problem in question The overall set of computations for a dynamic problem is ca ...
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Decomposition (computer Science)
Decomposition in computer science, also known as factoring, is breaking a complex problem or system into parts that are easier to conceive, understand, program, and maintain. Overview Different types of decomposition are defined in computer sciences: * In structured programming, ''algorithmic decomposition'' breaks a process down into well-defined steps. * Structured analysis breaks down a software system from the system context level to system functions and data entities as described by Tom DeMarco. * ''Object-oriented decomposition'' breaks a large system down into progressively smaller classes or objects that are responsible for part of the problem domain. * According to Booch, algorithmic decomposition is a necessary part of object-oriented analysis and design, but object-oriented systems start with and emphasize decomposition into objects. Grady Booch (1994). ''Object-oriented Analysis and Design'' (2nd ed.). Redwood Cita, CA: Benjamin/Cummings. pp.16-20. More general ...
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Fibonacci Number
In mathematics, the Fibonacci sequence is a Integer sequence, sequence in which each element is the sum of the two elements that precede it. Numbers that are part of the Fibonacci sequence are known as Fibonacci numbers, commonly denoted . Many writers begin the sequence with 0 and 1, although some authors start it from 1 and 1 and some (as did Fibonacci) from 1 and 2. Starting from 0 and 1, the sequence begins : 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ... The Fibonacci numbers were first described in Indian mathematics as early as 200 BC in work by Pingala on enumerating possible patterns of Sanskrit poetry formed from syllables of two lengths. They are named after the Italian mathematician Leonardo of Pisa, also known as Fibonacci, who introduced the sequence to Western European mathematics in his 1202 book . Fibonacci numbers appear unexpectedly often in mathematics, so much so that there is an entire journal dedicated to their study, the ''Fibonacci Quarterly''. Appli ...
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Kurt Mehlhorn
Kurt Mehlhorn (born 29 August 1949) is a German theoretical computer scientist. He has been a vice president of the Max Planck Society and is director of the Max Planck Institute for Computer Science. Education and career Mehlhorn graduated in 1971 from the Technical University of Munich, where he studied computer science and mathematics, and earned his Ph.D. in 1974 from Cornell University under the supervision of Robert Constable. Since 1975 he has been on the faculty of Saarland University in Saarbrücken, Germany, where he was chair of the computer science department from 1976 to 1978 and again from 1987 to 1989. Since 1990 has been the director of the Max Planck Institute for Computer Science, also in Saarbrücken. He has been on the editorial boards of ten journals, a trustee of the International Computer Science Institute in Berkeley, California, and a member of the board of governors of Jacobs University Bremen. He also served on the Engineering and Computer Science ju ...
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Polynomial
In mathematics, a polynomial is a Expression (mathematics), mathematical expression consisting of indeterminate (variable), indeterminates (also called variable (mathematics), variables) and coefficients, that involves only the operations of addition, subtraction, multiplication and exponentiation to nonnegative integer powers, and has a finite number of terms. An example of a polynomial of a single indeterminate is . An example with three indeterminates is . Polynomials appear in many areas of mathematics and science. For example, they are used to form polynomial equations, which encode a wide range of problems, from elementary word problem (mathematics education), word problems to complicated scientific problems; they are used to define polynomial functions, which appear in settings ranging from basic chemistry and physics to economics and social science; and they are used in calculus and numerical analysis to approximate other functions. In advanced mathematics, polynomials are ...
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