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Kadane's Algorithm
In computer science, the maximum sum subarray problem, also known as the maximum segment sum problem, is the task of finding a contiguous subarray with the largest sum, within a given one-dimensional array data structure, array A[1...n] of numbers. It can be solved in O(n) time and O(1) space. Formally, the task is to find indices i and j with 1 \leq i \leq j \leq n , such that the sum : \sum_^j A[x] is as large as possible. (Some formulations of the problem also allow the empty subarray to be considered; by convention, empty sum, the sum of all values of the empty subarray is zero.) Each number in the input array A could be positive, negative, or zero. For example, for the array of values [−2, 1, −3, 4, −1, 2, 1, −5, 4], the contiguous subarray with the largest sum is [4, −1, 2, 1], with sum 6. Some properties of this problem are: # If the array contains all non-negative numbers, then the problem is trivial; a maximum subarray is the entire arra ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Maximum Subarray Visualization
In mathematical analysis, the maximum and minimum of a function (mathematics), function are, respectively, the greatest and least value taken by the function. Known generically as extremum, they may be defined either within a given Interval (mathematics), range (the ''local'' or ''relative'' extrema) or on the entire domain of a function, domain (the ''global'' or ''absolute'' extrema) of a function. Pierre de Fermat was one of the first mathematicians to propose a general technique, adequality, for finding the maxima and minima of functions. As defined in set theory, the maximum and minimum of a set (mathematics), set are the greatest and least elements in the set, respectively. Unbounded infinite sets, such as the set of real numbers, have no minimum or maximum. In statistics, the corresponding concept is the sample maximum and minimum. Definition A real-valued Function (mathematics), function ''f'' defined on a Domain of a function, domain ''X'' has a global (or absolute) m ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Sequence Analysis
In bioinformatics, sequence analysis is the process of subjecting a DNA, RNA or peptide sequence to any of a wide range of analytical methods to understand its features, function, structure, or evolution. It can be performed on the entire genome, transcriptome or proteome of an organism, and can also involve only selected segments or regions, like tandem repeats and transposable elements. Methodologies used include sequence alignment, searches against biological databases, and others. Since the development of methods of high-throughput production of gene and protein sequences, the rate of addition of new sequences to the databases increased very rapidly. Such a collection of sequences does not, by itself, increase the scientist's understanding of the biology of organisms. However, comparing these new sequences to those with known functions is a key way of understanding the biology of an organism from which the new sequence comes. Thus, sequence analysis can be used to assign fu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Communications Of The ACM
''Communications of the ACM'' (''CACM'') is the monthly journal of the Association for Computing Machinery (ACM). History It was established in 1958, with Saul Rosen as its first managing editor. It is sent to all ACM members. Articles are intended for readers with backgrounds in all areas of computer science and information systems. The focus is on the practical implications of advances in information technology and associated management issues; ACM also publishes a variety of more theoretical journals. The magazine straddles the boundary of a science magazine, trade magazine, and a scientific journal. While the content is subject to peer review, the articles published are often summaries of research that may also be published elsewhere. Material published must be accessible and relevant to a broad readership. From 1960 onward, ''CACM'' also published algorithms, expressed in ALGOL. The collection of algorithms later became known as the Collected Algorithms of the ACM. CA ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Subset Sum Problem
The subset sum problem (SSP) is a decision problem in computer science. In its most general formulation, there is a multiset S of integers and a target-sum T, and the question is to decide whether any subset of the integers sum to precisely T''.'' The problem is known to be NP-complete. Moreover, some restricted variants of it are NP-complete too, for example: * The variant in which all inputs are positive. * The variant in which inputs may be positive or negative, and T=0. For example, given the set \, the answer is ''yes'' because the subset \ sums to zero. * The variant in which all inputs are positive, and the target sum is exactly half the sum of all inputs, i.e., T = \frac(a_1+\dots+a_n) . This special case of SSP is known as the partition problem. SSP can also be regarded as an optimization problem: find a subset whose sum is at most ''T'', and subject to that, as close as possible to ''T''. It is NP-hard, but there are several algorithms that can solve it reasonably q ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Frama-C
Frama-C is a set of interoperable program analyzers for C programs. The name ''Frama-C'' stands for ''Framework for Modular Analysis of C programs''. Frama-C has been developed by the French Commissariat à l'Énergie Atomique et aux Énergies Alternatives ( CEA-List) and Inria. It has also received funding from the Core Infrastructure Initiative. Frama-C, as a static analyzer, inspects programs without executing them. Despite its name, the software is not related to the French project Framasoft. Architecture Frama-C has a modular plugin architecture comparable to that of Eclipse (software) or GIMP. Frama-C relies on CIL ( C Intermediate Language) to generate an abstract syntax tree. The abstract syntax tree supports annotations written in ANSI/ISO C Specification Language (ACSL). Several modules can manipulate the abstract syntax tree to add ANSI/ISO C Specification Language (ACSL) annotations. Among frequently used plugins are: * ''Value analysis'' computes ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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C (programming Language)
C (''pronounced'' '' – like the letter c'') is a general-purpose programming language. It was created in the 1970s by Dennis Ritchie and remains very widely used and influential. By design, C's features cleanly reflect the capabilities of the targeted Central processing unit, CPUs. It has found lasting use in operating systems code (especially in Kernel (operating system), kernels), device drivers, and protocol stacks, but its use in application software has been decreasing. C is commonly used on computer architectures that range from the largest supercomputers to the smallest microcontrollers and embedded systems. A successor to the programming language B (programming language), B, C was originally developed at Bell Labs by Ritchie between 1972 and 1973 to construct utilities running on Unix. It was applied to re-implementing the kernel of the Unix operating system. During the 1980s, C gradually gained popularity. It has become one of the most widely used programming langu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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No Empty Subarrays Admitted
No or NO may refer to: Linguistics and symbols * ''Yes'' and ''no'', responses * No, an English determiner in noun phrases * No (kana) (, ), a letter/syllable in Japanese script * No symbol (🚫), the general prohibition sign * Numero sign ( or No.), a typographic symbol for the word "number" * Norwegian language (ISO 639-1 code "no") Places * Niederösterreich (''NÖ''), Lower Austria * Norway (ISO 3166-1 country code NO, internet top level domain .no) * No, Denmark, a village in Denmark * Nō, Niigata, a former town in Japan * No Creek (other), several streams * Lake No, in South Sudan * New Orleans, Louisiana, US or its professional sports teams: ** New Orleans Saints of the National Football League ** New Orleans Pelicans of the National Basketball Association * Province of Novara (Piedmonte, Italy), province code NO Arts and entertainment Film and television * ''No'' (2012 film), a 2012 Chilean film * ''Nô'' (film), a 1998 Canadian film * Julius No, t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Kadane Run −2,1,−3,4,−1,2,1,−5,4
Joseph "Jay" Born Kadane (born January 10, 1941) is the Leonard J. Savage University Professor of Statistics, Emeritus in the Department of Statistics and Social and Decision Sciences at Carnegie Mellon University. Kadane is one of the early proponents of Bayesian statistics, particularly the subjective Bayesian philosophy. Education and career Kadane was born in Washington, DC and raised in Freeport on Long Island. Kadane prepared at Phillips Exeter Academy, earned an A.B. in mathematics from Harvard College and a Ph.D. in statistics from Stanford in 1966, under the supervision of Professor Herman Chernoff. While in graduate school, Kadane worked for the Center for Naval Analyses (CNA). Upon finishing, he accepted a joint appointment at the Yale statistics department and the Cowles Foundation. In 1968, he left Yale and served as an analyst at CNA for three years. In 1971, he moved to Pittsburgh to join Morris H. DeGroot at Carnegie Mellon University. He became the second ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Python (programming Language)
Python is a high-level programming language, high-level, general-purpose programming language. Its design philosophy emphasizes code readability with the use of significant indentation. Python is type system#DYNAMIC, dynamically type-checked and garbage collection (computer science), garbage-collected. It supports multiple programming paradigms, including structured programming, structured (particularly procedural programming, procedural), object-oriented and functional programming. It is often described as a "batteries included" language due to its comprehensive standard library. Guido van Rossum began working on Python in the late 1980s as a successor to the ABC (programming language), ABC programming language, and he first released it in 1991 as Python 0.9.0. Python 2.0 was released in 2000. Python 3.0, released in 2008, was a major revision not completely backward-compatible with earlier versions. Python 2.7.18, released in 2020, was the last release of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Empty Subarrays Admitted
Empty may refer to: Music Albums * ''Empty'' (God Lives Underwater album) or the title song, 1995 * ''Empty'' (Nils Frahm album), 2020 * ''Empty'' (Tait album) or the title song, 2001 Songs * "Empty" (The Click Five song), 2007 * "Empty" (Garbage song), 2016 * "Empty" (Juice Wrld song), 2019 * "Empty", by Bebe Rexha from '' Better Mistakes'', 2021 * "Empty", by Belmont from '' Belmont'', 2018 * "Empty", by Blair St. Clair from '' Identity'', 2020 * "Empty", by Boyinaband featuring Jaiden Animations, 2018 * "Empty", by Cane Hill from '' Kill the Sun'', 2019 * "Empty", by Cooliecut, Kin$oul, Craig Xen, and Ski Mask the Slump God from '' Members Only, Vol. 4'', 2019 * "Empty", by the Cranberries from '' No Need to Argue'', 1994 * "Empty", by Harry Chapin from '' Heads & Tales'', 1972 * "Empty", by Janet Jackson from '' The Velvet Rope'', 1997 * "Empty", by King Gizzard & the Lizard Wizard from '' I'm in Your Mind Fuzz'', 2014 * "Empty", by Metric from '' Live It Ou ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |