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Encyclopedia results for Computational mathematics

Computational mathematics





Encyclopedia results for Computational mathematics

  1. Computational mathematics

    Computational mathematics involves mathematics mathematical research in areas of science where computation ... PD 06 888 Computational Mathematics , 2006. Retrieved April 2007 ref Computational mathematics emerged as a distinct part of applied mathematics by the early 1950s. Currently, computational mathematics can refer to or include computational science , also known as scientific computation or computational ... computation, for example stochastic finite element s the mathematics of scientific computation ref name directions Future Directions in Computational Mathematics, Algorithms, and Scientific Software ... Mathematics, World Scientific Publishing, ISBN 978 9812818171 Nonweiler T. R., 1986. Computational ... General references references External links http www.focm.net Foundations of Computational Mathematics a non profit organization Mathematics footer Category Applied mathematics Category Computational ... of applied mathematics numerical methods used in scientific computation, for example numerical ... Distributed by SIAM ref the theoretical side involving mathematical proof s ref Mathematics of Computation ... numerical analysis , the theory of numerical methods but theory of computation and Computational ... and computer algebra systems computer assisted research in various areas of mathematics, such as Mathematical logic logic automated theorem proving , discrete mathematics search for mathematical structures such as Group mathematics groups , number theory primality testing and factorization , cryptography , and computational algebraic topology computational linguistics , the use of mathematical and computer techniques in natural language s Computational geometry Computational topology Computational number theory Algorithmic information theory Algorithmic game theory Books Cucker F., 2003. Foundations of Computational Mathematics Special Volume Handbook of Numerical Analysis , North Holland Publishing, ISBN 978 0444512475 Harris J. W. and Stocker H., 1998. Handbook of Mathematics ...   more details



  1. Brunel Institute of Computational Mathematics

    Multiple issues notability June 2009 primarysources May 2009 The Brunel Institute of Computational Mathematics is a research institute at Brunel University set up to study and implement Finite element method finite element , Boundary element method boundary element and related Numerical analysis numerical methods to the solution of partial differential equation s. External links http www.brunel.ac.uk bicom Brunel Institute of Computational Mathematics Brunel University Category Brunel University Category Mathematical institutes ...   more details



  1. Institute for Computational and Experimental Research in Mathematics

    multiple issues advert March 2011 primarysources March 2011 The Instituted for Computational and Experimental Research in Mathematics ICERM is the eighth National Science Foundation NSF mathematical sciences research institute. ICERM was founded when Brown University won a USD 15.5 million grant from the NSF in August 2010. ref cite web title ICERM website url http icerm.brown.edu ref Mission The mission of ICERM is to support and broaden the relationship between mathematics and computation ref cite news last Macris first Gina title Research center inaugurated at Brown url http www.projo.com education content NEW RESEARCH AT BROWN 03 08 11 E9MSMVL v16.1afd45e.html accessdate 03 08 2011 ref specifically, to expand the use of computational and experimental methods in mathematics, to support theoretical advances related to computation, and address problems posed by the existence and use of the computer through mathematical tools, research and innovation. ref cite web title ICERM Mission Statement url http icerm.brown.edu work ICERM Website accessdate 03 07 2011 ref References reflist coord missing United States Category Mathematical institutes Category Computer science institutes in the United States Category Research institutes in the United States Category Brown University ...   more details



  1. MSU Faculty of Computational Mathematics and Cybernetics

    Other uses CMC disambiguation MSU Faculty of Computational Mathematics and Cybernetics CMC lang ru is a part of Moscow State University , founded in 1970 by Andrey Nikolayevich Tychonoff Andrey N. Tikhonov . Education CMC is the leading Russian research and training center in the fields of applied mathematics, computing and software development. Education at CMC combines in depth theoretical studies, extensive practical exercises, and research. Main 12 Master s programs Mathematical physics Mathematical modeling Computational diagnostics Numerical methods Theory of probability and mathematical statistics Operations research and systems analysis Optimization and optimal control Mathematical cybernetics Software for computers and computer systems Networks software System programming Decision making in Economics and Finance History A group of professors and scholars from MSU Faculty of Physics Department of Physics and MSU Department of Mechanics and Mathematics Department of Mechanics and Mathematics led by Andrey Nikolayevich Tychonoff A. N. Tikhonov founded CMC in 1970. The three departments are still closely connected. Perhaps, Department of Applied Mathematics and Computer Science would be a more precise name for this one. The word cybernetics historically refers to what Norbert Wiener introduced in his book Cybernetics, or Control ... State University Computational Mathematics and Cybernetics, Faculty of Category Computer science ... Tychonoff A. N. Tikhonov on the MSU Second Humanities Building where Faculty of Computational Mathematics and Cybernetics is located The deans of the faculty Andrey Nikolayevich Tychonoff A. N ... E. I. Moiseev 1999 now The list of prominent scientists that worked in the Faculty of Computational Mathematics and Cybernetics includes Lev Semenovich Pontryagin L. S. Pontryagin , the founder and the first ... mathematics. Yuri Vasilevich Prokhorov Yu. V. Prokhorov , the chair of the department of Probability ...   more details



  1. Institute of Applied Physics and Computational Mathematics

    The Institute of Applied Physics and Computational Mathematics IAPCM was established in 1958 in Beijing in the People s Republic of China . The institution conducts research on nuclear warhead design computations for the Chinese Academy of Engineering Physics CAEP in Mianyang , Sichuan and focuses on applied theoretical research and on the study of fundamental theories. Its main research fields include Theoretical Physics , Nuclear fusion Nuclear Fusion and Plasma Physics , Nuclear Physics and Atomic physics Atomic Molecular Physics, Laser Physics, Fluid Dynamics , Applied Mathematics Computer Application, Computer Application, Arms Control Science and Technology. In 2006, the director of the institute was Zhu Shaoping . External links and References http www.iapcm.ac.cn Official site zh icon http www.iapcm.ac.cn eng enbrief.html English part of official site en icon http www.fas.org nuke guide china contractor iapcm.htm Federation of American Scientists about the IAPCM Lewis, John Wilson, and Xue Litai. China Builds the Bomb. Stanford, California Stanford University Press 1988. coord missing People s Republic of China Category Physics institutes Category Mathematical institutes Category Research institutes in China ...   more details



  1. Computational

    Wiktionary Computational may refer to Computer Computational algebra Computational Aeroacoustics Computational and Information Systems Laboratory Computational and Systems Neuroscience Computational archaeology Computational auditory scene analysis Computational biology Computational biomodeling Computational Center for Nanotechnology Innovations Computational chemical methods in solid state physics Computational chemistry Computational Chemistry Grid Computational Chemistry List Computational complexity of mathematical operations Computational complexity theory Computational creativity Computational cybernetics Computational Diffie Hellman assumption Computational Diffie Hellman problem Computational economics Computational electromagnetics Computational Engineering Computational epidemiology Computational epigenetics Computational epistemology Computational finance Computational fluid dynamics Computational forensics Computational formula for the variance Computational gene Computational genomics Computational geometry Computational Geometry Algorithms Library Computational geophysics Computational grid Computational group theory Computational hardness assumption Computational humor Computational indistinguishability Computational informatics Computational immunology Computational intelligence Computational Intelligence and Machine Learning Portal Computational Intensive Workload Computational intractability Computational irreducibility Computational journalism Computational learning theory Computational lexicology Computational linguistics Computational Linguistics journal Computational lithography Computational logic Computational magnetohydrodynamics Computational mathematics Computational matrix algebra Computational mechanics Computational Mechanics journal Computational model Computational modeling Computational Molecular Docking Computational musicology Computational neuroanatomy Computational neuroethology Computational neurogenetic modeling Computational neuroscience ...   more details



  1. Mathematics

    Laboratory upto 1993 revised 2002 ref Computational mathematics Computational mathematics proposes ... uses see Mathematics disambiguation and Math disambiguation . File Euclid.jpg thumb Euclid , Greek ... . ref Mathematics from Greek language Greek m th ma knowledge, study, learning is the study ..., then mathematical reasoning often provides insight or predictions. Through the use of abstraction mathematics abstraction and logic al reasoning , mathematics developed from counting , calculation , measurement .... Practical mathematics has been a human activity for as far back as History of Mathematics written records exist. Logic Rigorous arguments first appeared in Greek mathematics , most notably in Euclid Euclid s Euclid s Elements Elements . Mathematics developed at a relatively slow pace until the Renaissance ... History of Mathematics 1. Newton and Leibniz , BBC Radio 4 , 27 09 2010. ref Carl Friedrich Gauss 1777 1855 referred to mathematics as the Queen of the Sciences . ref Waltershausen ref Benjamin Peirce 1809 1880 called mathematics the science that draws necessary conclusions . ref Peirce, p. 97. ref David Hilbert said of mathematics We are not speaking here of arbitrariness in any sense. Mathematics ..., Birkh user 1992 . ref Albert Einstein 1879 1955 stated that as far as the laws of mathematics ... . ref name certain Mathematics is used throughout the world as an essential tool in many fields, including natural science , engineering , medicine , and the social sciences . Applied mathematics , the branch of mathematics concerned with application of mathematical knowledge to other fields, inspires ... mathematics , or mathematics for its own sake, without having any application in mind. There is no clear line separating pure and applied mathematics, and practical applications for what began as pure mathematics are often discovered. ref Peterson ref Etymology The word mathematics comes from the ancient ... mean to learn . The word mathematics in Greek came to have the narrower and more technical meaning ...   more details



  1. Computational epidemiology

    Wikify date April 2010 Orphan date February 2009 Computational epidemiology is a multidisciplinary field utilizing techniques from computer science, mathematics, geographic information science and public health to develop tools and models to aid epidemiologists in their study of the spread of diseases. It differs from bioinformatics in that it is centered more around studying how diseases spread, and not the actual disease itself. Recently, the University of North Texas founded the Center for Computational Epidemiology and Response Analysis CeCERA as a collaboration of faculty from the fields of Computer Science, Public Health, Medical Geography, and Geographic Information Science. Citation needed date May 2011 External links http compepi.org Harvard Medical School Children s Hospital Boston Computational Epidemiology Group http compepi.cs.uiowa.edu University of Iowa Computational Epidemiology Group Compepi http dimacs.rutgers.edu tanyabw research comp epidem DIMACS Computational Epidemiology http cerl.unt.edu UNT Computational Epidemiology Research Laboratory http compepid.tuskegee.edu CCEBRA index.htm The Center for Computational Epidemiology, Bioinformatics and Risk Analysis CCEBRA at Tuskegee University Category Computational science med stub ...   more details



  1. Computational science

    Computational linguistics Computational mathematics Computational mechanics Computational neuroscience ... Science Category Computational science Category Applied mathematics ar de Wissenschaftliches ...distinguish computer science Science Computational science or scientific computing is the field of study ... www.nccs.gov about National Center for Computational Science ref In practical use, it is typically the application ... platforms. Numerical analysis is an important underpinning for techniques used in computational science. Applications of computational science Problem domains for computational science scientific ... to reflect observations, subject to model constraints e.g. oil exploration geophysics, computational ..., and websites. Computational optimization main Mathematical optimization Optimize known scenarios ... and mathematical methods used in computational science are varied. Commonly applied methods ... of integration on a uniform Mesh mathematics mesh rectangle rule also called midpoint rule , trapezoid ... libraries such as BLAS or LAPACK . Computational science application programs often model real ... state. The term computational scientist is used to describe someone skilled in scientific computing ... on other areas including economics, biology and medicine. Computational science is now commonly considered ... . ref http www.siam.org students resources report.php Siam.org ref The essence of computational science is numerical algorithm ref Nonweiler T. R., 1986. Computational Mathematics An Introduction to Numerical Approximation, John Wiley and Sons ref and or computational mathematics . ref Yang X. S., 2008. Introduction to Computational Mathematics, World Scientific Publishing ref In fact, substantial effort in computational sciences has been devoted to the development of algorithms, the efficient implementation in programming languages, and validation of computational results. A collection of problems and solutions in computational science can be found in Steeb, Hardy, Hardy and Stoop, 2004. ref ...   more details



  1. Computational Sustainability

    Computational Sustainability is an interdisciplinary field ref cite journal author Gomes, Carla P. title Computational Sustainability Computational methods for a sustainable environment, economy, and society journal The Bridge, National Academy of Engineering volume 39 number 4 month Dec year 2009 ref ref cite journal author Frankel, Karen A. title Computer Science Meets Environmental Science Scientists share knowledge and seek collaborators at computational sustainability conference journal Communications of the ACM volume 52 number 9 month Sep year 2009 page 23 doi 10.1145 1562164.1562174 ref that aims to apply techniques from computer science , information science , operations research , applied mathematics , and statistics for balancing environmental, economic, and societal needs for sustainable development . The main focus is on developing computational and mathematical models and methods for decision making concerning the management and allocation of resources in order to help solve some of the most challenging problems related to sustainability . Computational sustainability problems ... AAAI 2011 aaai11sustainabilitycall.php AAAI 11 CompSust Special Track on Computational Sustainability ... CompSust 10 Conference 2nd International Conference on Computational Sustainability, Massachusetts Institute ... compsust09 CompSust09 Conference 1st International Conference on Computational Sustainability, Cornell ... CROCS at CP 10 3rd International Workshop on Constraint Reasoning and Optimization for Computational ... for Computational Sustainability, Bologna, Italy, June 15, 2010. http www.computational sustainability.org ... for Computational Sustainability, Lisbon, Portugal, September 20, 2009. See also Institute for Computational ... sustainability.org http www.cis.cornell.edu ics Institute for Computational Sustainability ICS References reflist Category Sustainable development Category Computational science 3. Murgante B., Borruso G., Lapucci A. 2011 Geocomputation, Sustainability and Environmental Planning Studies in Computational ...   more details



  1. Computational biology

    Computational biology involves the development and application of data analytical and theoretical methods, mathematical modeling and computational simulation techniques to the study of biological, behavioral ... defined and includes foundations in computer science , applied mathematics , statistics , biochemistry ... ref Centers Institutions and leading providers of Computational Biology Resources National ... for Computational and Systems Biology T4G Limited http www.T4G.com Bioinformatics and Computational Biology Consulting DLab http dlab.cl Computational Biology Lab Chile Max Planck Institute for Molecular ... Society for Computational Biology http www.bioinformatics.org bioinformatics.org Relevant Journals ... journal Genomics Genome Research Database journal Journal of Computational Biology Nature Methods Nucleic Acids Research PLoS Computational Biology PLoS ONE Statistical Applications in Genetics and Molecular Biology Notable Conferences in Computational Biology Intelligent Systems for Molecular Biology ISMB European Conference on Computational Biology ECCB Pacific Symposium on Biocomputing PSB http recomb.org International Conference on Research in Computational Molecular Biology RECOMB Notable Bioinformatics Computational Biology Databases Ensembl UCSC Genome Browser InterPro Pfam OMIM SUPERFAMILY CATH SCOP Protein Data Bank DECIPHER Subfields Computational biomodeling main Modelling biological systems Computational biomodeling, a field concerned with building computer model s of biological systems. Computational genomics main Computational genomics Computational genomics, a field within ... scale DNA sequencing projects. Computational neuroscience main Computational neuroscience Computational ... of the structures that make up the nervous system. Computational biology vs. Bioinformatics main Bioinformatics Bioinformatics and computational biology are rooted in life sciences as well as computer ... specific disciplines such as mathematics, physics, statistics, computer science and engineering, biology ...   more details



  1. Computational mechanics

    dablink For the scientific journal, see Computational Mechanics journal Computational Mechanics . Computational mechanics is the discipline concerned with the use of computational methods to study phenomena governed by the principles of mechanics . Before the emergence of computational science also called scientific computing as a third way besides theoretical and experimental sciences, computational ... to be a sub discipline within computational science. Process Scientists within the field of computational ... form expression analytical solution s are available. Quite frequently, new numerical or computational ... and often physical interpretations will be given to the results. Overview Computational mechanics CM is interdisciplinary. Its three pillars are mathematics , computer science , and mechanics . Computational fluid dynamics , computational thermodynamics, computational electromagnetics , computational solid mechanics are some of the many specializations within CM. The areas of mathematics most related to computational mechanics are partial differential equation s, linear algebra and numerical ... widely used programming language in the scientific community, including computational mechanics ... where computational mechanics have been put to practical use are Crash simulation vehicle crash ..., and semiconductor modeling. In the last century, especially in the second half thereof, computational ... the tools provided by computational mechanics. With the incorporation of quantum, molecular and biological ... United States Association for Computational Mechanics http www.usacm.org Miscellaneous Scordim 8pPM.pdf USACM report on the future of computational mechanics http cmr.mech.unsw.edu.au UNSW Computational Mechanics and Robotics Group http www.come.tum.de cms M.Sc. in Computational Mechanics http www.eng.fea.ru Computational Mechanics Laboratory CompMechLab , Russia http www.santafe.edu cmg compmech ... to Computational Mechanics http www.springer.com 466 Journal of Computational Mechanics DEFAULTSORT ...   more details



  1. Computational physics

    About computational science applied in physics theories comparing the universe to a computer digital physics Computational physics Computational physics is the study and implementation of numerical algorithm s to solve problems in physics for which a quantitative theory already exists. It is often regarded as a subdiscipline of theoretical physics but some consider it an intermediate branch between theoretical and experimental physics . Physicist s often have a very precise mathematical theory describing how a system will behave. Unfortunately, it is often the case that solving the theory s equations ab initio in order to produce a useful prediction is not practical. This is especially true with quantum mechanics , where only a handful of simple models admit closed form, analytic solutions. In cases where the equations can only be solved approximately, computational methods are often used. Applications of computational physics Computation now represents an essential component of modern research in accelerator physics , astrophysics , fluid mechanics , lattice field theory lattice gauge ... , solid state physics and soft condensed matter physics. Computational solid state physics, for example ... by chemists to study molecules. As these topics are explored, many more general numerical and mathematics ... eigenvectors eigenstates in quantum physics The pseudo spectral method Computational physics also ... Molecular dynamics Computational fluid dynamics Computational Magnetohydrodynamics DCOMP Division of Computational Physics of the American Physical Society List of publications in physics Computational physics Important publications in computational physics Scientific computing Computational Science Mathematical physics Open Source Physics , computational physics libraries and pedagogical tools Plasma modeling External links http phycomp.technion.ac.il C20 C20 IUPAP Commission on Computational ... Software Framework DEFAULTSORT Computational Physics Category Computational physics ar ...   more details



  1. Computational finance

    Multiple issues unreferenced March 2010 original research March 2010 Computational finance , also called financial engineering, is a cross disciplinary field which relies on computational intelligence ... management of those decisions. Utilising various methods, practitioners of computational finance aim ..., individuals who fill positions in computational finance are known as Quantitative analyst quants ... rather than applications. Computational finance was traditionally populated by Ph.D s in finance, physics and mathematics who moved into the field from more pure, academic backgrounds either directly from graduate school, or after teaching or research . To work in computational finance, one must ... has become essential to rapidly carrying out computational finance decisions, a background ... complex computational machines, a knowledge of computer software and hardware has become a necessity. In recent years, advanced computational methods, such as neural network and evolutionary computation have opened new doors in computational finance. Practitioners of computational finance have come from the fields of signal processing and computational fluid dynamics and artificial intelligence ... terminal degree terminal programs become available at the leading schools see Master of Computational Finance . Today, all full service institutional finance firms employ computational finance ... firms to create a large derivatives business and employ computational finance including through ... and most notable quant fund along with D.E. Shaw & Co. . Applications Computational finance is used ... economics financial theory and applied mathematics , as well as computation and the practice of programming. Computational finance is also used in the process of creating new securities or processes, and designing new financial instruments, especially derivative securities. More importantly, computational ... securities and other methods, computational finance aims to precisely control the financial risk that an entity ...   more details



  1. Computational genomics

    Computational genomics refers to the use of computational analysis to decipher biology from genome sequence s and related data ref Koonin EV 2001 Computational Genomics, National Center for Biotechnology ... the genome sequence, such as genomic DNA microarrays . As such, computational genomics may ... level and beyond. With the current abundance of massive biological datasets, computational studies ... bioeecs CompGenProt.html Computational Genomics and Proteomics at MIT ref History The roots of computational genomics are shared with those of bioinformatics. During the 1960s, Margaret Dayhoff ... of the phrase computational genomics coincides with the availability of complete sequenced genomes in the mid to late 1990s. The first meeting of the Annual Conference on Computational Genomics ... of Genomics or Computational Biology . ref http www.jcvi.org cms press press releases full text archive 2004 article computational genomics conference to attract leading scientists ?tx ttnews backPid& 93 67&cHash fd69079f5e The 7th Annual Conference on Computational Genomics 2004 ref ref http www.cpe.vt.edu genomics The 9th Annual Conference on Computational Genomics 2006 ref The first use of this term ... Acids Research . ref A. Wagner 1997 , A computational genomics approach to the identification of gene networks, Nucleic Acids Res., Sep 15 25 18 3594 604, ISSN 0305 1048 ref . The final Computational ... . The development of computer assisted mathematics using products such as Mathematica or Matlab ... Introduction to Computational Genomics , Cambridge University Press, 2006. ISBN 9780521671910 ISBN ... systems and control, information theory, strings analysis and data mining. It is anticipated that computational .... Contributions of computational genomics research to biology Contributions of computational genomics ... Computational biology Genomics Microarray BLAST Computational epigenetics References reflist External links Harvard Extension School Biophysics 101, Genomics and Computational Biology, http www.courses.fas.harvard.edu ...   more details



  1. Computational topology

    0 8218 4925 5 DEFAULTSORT Computational Topology Category Computational topology Category Applied mathematics Category Computational complexity theory Category Computational science Topology ru ...Algorithmic topology , or computational topology , is a subfield of topology with an overlap with areas of computer science , in particular computational geometry and computational complexity theory . A primary concern of algorithmic topology, as its name suggests, is to develop efficient algorithm s for solving topological problems, or using topological methods to solve algorithmic problems from other fields. Major algorithms by subject area Algorithmic 3 manifold theory A large family of algorithms concerning 3 manifold s revolve around normal surface theory, which is a phrase that encompasses several techniques to turn problems in 3 manifold theory into integer linear programming problems. Rubinstein and Thompson s 3 sphere recognition algorithm . This is an algorithm that takes as input ... . ref B. Burton. Introducing Regina, the 3 manifold topology software, Experimental Mathematics 13 ... class NP complexity NP ref The computational complexity of knot and link problems by Joel Hass ... wiki Main Page ref Computational homotopy Computational methods for Homotopy groups of spheres Computational methods homotopy groups of spheres . Computational methods for solving Systems of polynomial ... E H Brown s Finite Computability of Postnikov Complexes annals of Mathematics 2 65 1957 pp 1 20 ref although it is not widely considered implementable. See also Computational geometry Digital topology Topological data analysis Spatial temporal reasoning Experimental mathematics References references ... http comptopfs.stanford.edu Computational Topology at Stanford University Books cite book author Tomasz Kaczynski, Konstantin Mischaikow, Marian Mrozek title Computational Homology url http books.google.com ... Cambridge year 2005 isbn 0 521 83666 2 http books.google.com books?id MDXa6gFRZuIC Computational ...   more details



  1. Computational geometry

    Computational geometry is a branch of computer science devoted to the study of algorithms which can be stated in terms of geometry . Some purely geometrical problems arise out of the study of computational geometric algorithms, and such problems are also considered to be part of computational geometry. The main impetus for the development of computational geometry as a discipline was progress in computer ... problems in computational geometry are classical in nature, and may come from mathematical visualization . Other important applications of computational geometry include robotics motion planning ... CAE mesh generation . The main branches of computational geometry are Combinatorial computational geometry , also called algorithmic geometry , which deals with geometric objects as discrete mathematics ... Ian Shamos Shamos dates the first use of the term computational geometry in this sense by 1975. ref name PS cite book author Franco P. Preparata and Michael Ian Shamos title Computational Geometry ..., corrected and expanded, 1988 ISBN 3 540 96131 3 ref Numerical computational geometry , also called ... a branch of computer graphics or CAD. The term computational geometry in this meaning has been in use since 1971. ref A.R. Forrest, Computational geometry , Proc. Royal Society London , 321, series 4, 187 195 1971 ref Combinatorial computational geometry The primary goal of research in combinatorial computational geometry is to develop efficient algorithm s and data structure s for solving problems ... execution time is proportional to the square of the number of points. A classic result in computational ... been discovered. Citation needed date May 2010 Computational geometry focuses heavily on computational ... in computational geometry may be classified in different ways, according to various criteria. The following ... Given a polygon, partition its interior into triangles Mesh generation The computational .... If the search space is fixed, the computational complexity for this class of problems is usually estimated ...   more details



  1. Computational informatics

    Informatics academic field Informatics is the academic field concerned with the study of the foundations, theory, structure, communication, and use of information. Computational informatics, as a subfield of informatics, studies information using computational methodologies. Computational informatics can also be interpreted as the use of computational methods in the information sciences. Development From a historical viewpoint, medical informatics scientists also known as medical informaticians started to use artificial intelligence and Baysian statistical methods in diagnosis and medical decision making, as early as in the 1970s. An example is the MYCIN system developed at Stanford University . The field has since evolved to use a wide range of computational methods and to interact with all possible scientific and other disciplinary domains. In the recent years, the field integrates the following Computational techniques Artificial intelligence, algorithms for architectures ranging from single CPU to massively parallel machines , programming, object oriented system design, databases, information retrieval, computer graphics and visualization, data mining, information extraction. br Probability, statistics and decision science Theory of probability, statistical inference, cost risk benefit analysis, probabilistic analysis, stochastic modeling, decision theory, statistical data analysis, probabilistic networks, pattern classification, statistical learning and modeling, statistical data mining. br Applied mathematics Graph theory, differential equations, optimization theory, wavelets, group theory. br Electrical engineering methods signal and image processing. br Domain knowledge Art and cultural heritages, biology, chemistry, engineering, medicine, the Web. br User sciences Design, human computer interaction, evaluation. br Cyberinfrastructure for informatics search engines, digital repositories, storage. br Scientometrics, bibliometrics and economics science and pol ...   more details



  1. Computational problem

    In theoretical computer science , a computational problem is a mathematical object representing a collection of questions that computers might want 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 problems are one of the main objects of study in theoretical computer science. The field of algorithms studies methods of solving computational problems efficiently. The complementary field of computational complexity attempts to explain why certain computational problems are intractable for computers. A computational problem can be viewed as an infinite collection of instances together with a solution for every instance. For example in the factoring problem, the instances are the integers n , and solutions are prime numbers p that describe nontrivial prime factors of n . It is conventional to represent both instances and solutions by binary String computer science strings , namely elements ... of computational problems A decision problem is a computational problem where the answer for every ... as a Relation mathematics relation over consisting of all the instance solution pairs, called ... there is sorted out Promise problems In computational complexity theory , it is usually implicitly assumed that any string in 0, 1 sup sup represents an instance of the computational problem in question ... a proper subset of 0, 1 sup sup as the set of valid instances . Computational problems of this type .... Promise problems play an important role in several areas of computational complexity ... 84 80056 X . citation first1 Oded last1 Goldreich author1 link Oded Goldreich title Computational Complexity ... link Avi Wigderson contribution IV.20 Computational Complexity pages 575 604 title The Princeton Companion to Mathematics editor1 first Timothy editor1 last Gowers editor1 link Timothy Gowers editor2 ... Leader year 2008 publisher Princeton University Press isbn 9780691118802 . Category Computational problems ...   more details



  1. Computational musicology

    Computational musicology is defined as the study of music with computational modelling and simulation. ref Coutinho, Gimenes, Martins and Miranda 2005 Computational Musicology An Artificial Life Approach , http cmr.soc.plymouth.ac.uk publications computationalmusicology.pdf ref It saw its beginning in the 1950s and originally did not utilize computers, but more of statistical and mathematical methods. Nowadays computational musicology depends mostly on complex algorithms to either go through vast amounts of information or produce music using given parameters. History Lejaren Hiller acted as one of the foremost pioneers by creating one of the first musical compositions with a computer in 1957. ref Lejaren Hiller Wikipedia article, Lejaren Hiller ref In the 1960s research continued using statistical and mathematical methods, and started to use computers in an increasing manner as their capabilities grew. 1970s and 1980s were especially significant times for computational musicology as many discoveries were made. Since then the field has suffered a general lack of interest. ref Laine, Pauli 2005 Tietokoneavusteisen musiikintutkimuksen menetelmist in Finnish http www.musiikkilehti.fi 1 2005 2.pdf ref Methods Most of the work in computational musicology is done with computers that run specifically designed programs. Commonly they utilize theory and methods from statistical science, mathematics and music theory. Comprehension of the physics of hearing and sound are also required in analysis of raw audio data. Applications Music databases One of the earliest applications in computational musicology was the creation and use of musical databases . Input, usage and analysis of large amounts of data can be very troublesome using manual methods while usage of computers can make such tasks considerably easier. Analysis of music Different programs have been developed to analyze musical ... links http promethee.philo.ulg.ac.be RISSHpdf Annee1993 Articles LCamilleri.pdf Computational ...   more details



  1. Computational semiotics

    Semiotics Computational semiotics is an interdisciplinary field that applies, conducts, and draws on research in logic , mathematics , the theory of computation theory and computer programming practice of computer science computation , formal language formal and natural language natural linguistics language studies , the cognitive science s generally, and semiotics proper. A common theme of this work is the adoption of a sign semiotics sign theoretic perspective on issues of artificial intelligence and knowledge representation . Many of its applications lie in the field of computer human interaction CHI and the fundamental devices of recognition work at the Institute for Advanced Science & Engineering in California . Computational semiotics is that branch of one, which deals with the study and application of logic, computation to formal, natural language in terms of cognition and signs. One part of this field, known as algebraic semiotics , combines aspects of algebra ic specification and social semiotics, and has been applied to user interface design and to the representation of mathematical ...?id 6188 Link to publisher Gudwin, R. Queiroz, J. Towards an Introduction to Computational Semiotics ... linguistic approach to Computational Semiotics , in Wang, Paul P. ed. Computing with Words. Wiley ... B. Computing Fuzzy Semantic Granules from Natural Language Texts. A computational semiotics approach .... 475 479. Rieger, Burghard B. A Systems Theoretical View on Computational Semiotics. Modeling text understanding ..., pp. 840 845. See also columns width 17em col1 Artificial intelligence Computational linguistics Computer ... Algebraic Semiotics Gudwin, R.R., http www.dca.fee.unicamp.br gudwin compsemio Computational Semiotics Gudwin, R.R., http www.dca.fee.unicamp.br gudwin Publications List of Publications in Computational ... science personal sites doeben henisch csg semiotic machines.html International Computational Semiotics Group http www.dca.fee.unicamp.br projects semiotics UNICAMP Computational Semiotics Group Category ...   more details



  1. Computational neuroscience

    , computer science , mathematics and physics . Computational neuroscience is somewhat distinct ...Refimprove date January 2009 Computational neuroscience is the study of brain function in terms of the information processing properties of the structures that make up the nervous system . ref What is computational neuroscience? Patricia S. Churchland, Christof Koch, Terrence J. Sejnowski. in Computational ... , neural networks and computational learning theory in that it emphasizes descriptions of functional ... and topographic architecture and learning and memory. These computational models are used to frame .... History The term computational neuroscience was introduced by Eric L. Schwartz , who organized ... meeting were later published as the book Computational Neuroscience 1990 . ref cite book author Schwartz, Eric title Computational neuroscience publisher MIT Press location Cambridge ... 1907 ref this model is still one of the most popular models in computational neuroscience for both cellular ..., suggesting computational approaches to the study of how functional groups of neurons within the hippocampus and neocortex interact, store, process, and transmit information. Computational modeling ... multicompartmental model using cable theory . Major topics Research in computational neuroscience can be roughly categorized into several lines of inquiry. Most computational neuroscientists collaborate ... dynamics, modulations and sensitivity of these currents is an important topic of computational ... neurophysiology publisher MIT Press location Cambridge, Mass year 1995 isbn 0 262 10053 3 ref The computational ... the number of spikes. Experimental and computational work have since supported this hypothesis ... to consolidate. One recent computational hypothesis involves cascades of plasticity ref cite journal ... that computational tools will contribute greatly to our understanding of how synapses function ... is transmitted through such sparsely connected networks. It is also unknown what the computational ...   more details



  1. Computational Complexity

    Computational Complexity may refer to Computational complexity theory Computational Complexity journal disambig Short pages monitor This long comment was added to the page to prevent it being listed on Special Shortpages. It and the accompanying monitoring template were generated via Template Longcomment. Please do not remove the monitor template without removing the comment as well. ...   more details



  1. Computational cybernetics

    Unreferenced auto yes date December 2009 Computational cybernetics is the integration of cybernetics and computational intelligence techniques. The science of computational cybernetics is especially concerned with the comparative study of automatic control systems. Furthermore, computational cybernetics covers not only mechanical, but biological living , social and economical systems and for this uses computational intelligence based results of communication theory , signal processing , information technology , control theory , the theory of adaptive systems and the theory of complex systems game theory , operational research . DEFAULTSORT Computational Cybernetics Category Cybernetics Category Neural networks Compu AI stub ...   more details



  1. Computational humor

    Computational humor is a branch of computational linguistics and artificial intelligence which uses computer s in humor research . It is not to be confused with category computer humor computer humor i.e., jokes about computer s, programmer s, user computing user s, and computing . It is a relatively new area, with the first dedicated conference organized in 1996. ref Hulstijn, J, and Nijholt, A. eds. . Proceedings of the International Workshop on Computational Humor. Number 12 in Twente Workshops on Language Technology, Enschede, Netherlands. University of Twente, 1996. ref Nevertheless, the first computer model of a sense of humor was suggested by Suslov as early as 1992 ref I.M.Suslov, Computer Model of a Sense of Humour . I. General Algorithm. Biofizika SSSR 37, 318 1992 Biophysics 37, 242 ... in the early 1990s, ref Lessard, G. and Levison, M. 1992 . Computational modeling of linguistic humour ... A practical application of computational humour . In Cardoso, A. & Wiggins, G. Ed. Proceedings of the 4th. International Joint Workshop on Computational Creativity, London, UK, 2007, pp. 91 98. ref ref ... to laugh automatically Computational models for humor recognition. Computational Intelligence journal Computational Intelligence , 22 2 126 142. ref Takizawa et al. 1996 reported a heuristic program ... Isahara 1996 . On Computational Processing of Rhetorical Expressions Puns, Ironies and Tautologies ... Mathematics and Humor A Study of the Logic of Humor , 1982 paperback ISBN 0226650251, Japanese translation, 1983, Dutch translation, 1990 ref His book Mathematics and Humor A Study of the Logic of Humor demonstrates structures common to humor and formal sciences mathematics, linguistics and develops ... docs intelligent intelligent homepage 590206.pdf Computational humor , by Binsted, K. Nijholt, A. Stock ... eds. The April Fools Day Workshop on Computational Humour. Proc. Twente Workshop on Language ... Category Artificial intelligence Category Computational linguistics Category Humor research ...   more details




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