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* Computational Mathematics is a hybrid program that sits at the intersection of mathematics and computer science.<ref name="ref_eaea">[https://uwaterloo.ca/computational-mathematics/current-undergraduate-students/frequently-asked-questions Frequently asked questions | Computational Mathematics]</ref>
 
* Computational Mathematics is a hybrid program that sits at the intersection of mathematics and computer science.<ref name="ref_eaea">[https://uwaterloo.ca/computational-mathematics/current-undergraduate-students/frequently-asked-questions Frequently asked questions | Computational Mathematics]</ref>
 
* To see more about courses offered in Computational Mathematics, check the Undergraduate Calendar.<ref name="ref_eaea" />
 
* To see more about courses offered in Computational Mathematics, check the Undergraduate Calendar.<ref name="ref_eaea" />
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===소스===
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<references />
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== 노트 ==
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===위키데이터===
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* ID :  [https://www.wikidata.org/wiki/Q1122491 Q1122491]
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===말뭉치===
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# A computation can be seen as a purely physical phenomenon occurring inside a closed physical system called a computer.<ref name="ref_cdf05a7f">[https://en.wikipedia.org/wiki/Computation Computation]</ref>
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# The classic account of computation is found throughout the works of Hilary Putnam and others.<ref name="ref_cdf05a7f" />
 +
# Gualtiero Piccinini proposes an account of computation based in mechanical philosophy.<ref name="ref_cdf05a7f" />
 +
# In the theory of computation, a diversity of mathematical models of computers has been developed.<ref name="ref_cdf05a7f" />
 +
# Ti features proprietary processing cores on its silicon—namely, its Tensor cores (for AI computation) and its RT cores (to manage all things ray tracing).<ref name="ref_bc4bb7cb">[https://www.merriam-webster.com/dictionary/computation Definition of Computation by Merriam-Webster]</ref>
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# Think again of video games, many of which rely on clever programming to minimize the computation required to construct a virtual world.<ref name="ref_bc4bb7cb" />
 +
# Math can be used to understand climate change, health care models, data sciences, computation, all of which come with pressing societal needs.<ref name="ref_bc4bb7cb" />
 +
# Doing this requires some clever balancing of computation, since the robot has to keep functioning even if the wireless link suffers from a drop in speed due to interference.<ref name="ref_bc4bb7cb" />
 +
# I call this the problem of distinguishing between standard and nonstandard models of computation.<ref name="ref_f651b80e">[https://link.springer.com/article/10.1007/BF00413693 What is computation?]</ref>
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# Computational science, also known as scientific computing or scientific computation (SC), is a rapidly growing field that uses advanced computing capabilities to understand and solve complex problems.<ref name="ref_bd35a228">[https://en.wikipedia.org/wiki/Computational_science Computational science]</ref>
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# At some institutions, a specialization in scientific computation can be earned as a "minor" within another program (which may be at varying levels).<ref name="ref_bd35a228" />
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# How long, therefore, I lay waiting to hear the ship split upon some rock, or to feel her reel head foremost into the depths of the sea, I have not the means of computation .<ref name="ref_2a5a6965">[https://www.thefreedictionary.com/computation computation]</ref>
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# There is no theoretical reason for claiming that representations and computation need to be conscious.<ref name="ref_55aa1566">[https://dictionary.cambridge.org/dictionary/english/computation meaning in the Cambridge English Dictionary]</ref>
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# In other words, backward-reconstruct paths of zeros that lead to the output of the computation.<ref name="ref_55aa1566" />
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# Computation is also central to psychology and neuroscience, and perhaps other areas of biology.<ref name="ref_9eecddb7">[https://plato.stanford.edu/entries/computation-physicalsystems/ Computation in Physical Systems (Stanford Encyclopedia of Philosophy)]</ref>
 +
# According to the computational theory of cognition, cognition is a kind of computation: the behavior of cognitive systems is causally explained by the computations they perform.<ref name="ref_9eecddb7" />
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# In order to test a computational theory of something, we need to know what counts as a computation in a physical system.<ref name="ref_9eecddb7" />
 +
# Computation may be studied mathematically by formally defining computational objects, such as algorithms and Turing machines, and proving theorems about their properties.<ref name="ref_9eecddb7" />
 +
# Much of what made computers so revolutionary was that in a relatively short time they could do a complex mathematical computation that would take a human many lifetimes to do.<ref name="ref_d7883a5a">[https://www.vocabulary.com/dictionary/computation computation - Dictionary Definition]</ref>
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# David Rogers, Weather Prediction Using a Genetic Memory: The most extensive computation known has been conducted over the last billion years on a planet-wide scale: it is the evolution of life.<ref name="ref_d9489e76">[https://www.definitions.net/definition/computation What does computation mean?]</ref>
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# The power of this computation is illustrated by the complexity and beauty of its crowning achievement, the human brain.<ref name="ref_d9489e76" />
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# 1In this paper, I analyze the relationship between computational mechanisms—physically instantiated computers—and models of computation.<ref name="ref_44ad5749">[https://journals.openedition.org/philosophiascientiae/1019 Computational Mechanisms and Models of Computation]</ref>
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# Models of computation are used in various fields, including, but not limited to, computer science, information technology, and computational modeling in cognitive science.<ref name="ref_44ad5749" />
 +
# In the first section, I introduce the notion of a model of computation and sketch some requirements that a satisfactory theory of implementation should meet.<ref name="ref_44ad5749" />
 +
# The fourth section gives a short case study of a specific model of computation, namely a Kolmogorov-Uspensky Machine, and shows how the machine was implemented using a biological substrate—slime mold.<ref name="ref_44ad5749" />
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# That said, they are not “computation appreciation” courses.<ref name="ref_2cd55527">[https://www.edx.org/xseries/mitx-computational-thinking-using-python Computational Thinking using Python XSeries Program]</ref>
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# Steen's double checked every computation and some he's done four times.<ref name="ref_09c77683">[https://www.thesaurus.com/browse/computation Computation Synonyms, Computation Antonyms]</ref>
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# A computation is an operation that begins with some initial conditions and gives an output which follows from a definite set of rules.<ref name="ref_6f41d55e">[https://mathworld.wolfram.com/Computation.html Computation -- from Wolfram MathWorld]</ref>
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# The field of computer science studies the nature of computation and its uses, among other things.<ref name="ref_6f41d55e" />
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# A set of rules used to carry out a computation is known as an algorithm.<ref name="ref_6f41d55e" />
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# Harvard has had a long history of groundbreaking research in the theory of computation (ToC, also known as Theoretical Computer Science).<ref name="ref_4f98f9b1">[https://toc.seas.harvard.edu/ Theory of Computation at Harvard]</ref>
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# This field addresses the mathematical laws that govern efficient computation, whether by human-made devices or natural phenomena.<ref name="ref_4f98f9b1" />
 +
# All assembly computation described here consists of applications of this operator, which we call random projection and cap (RP&C).<ref name="ref_84170d70">[https://www.pnas.org/content/117/25/14464 Brain computation by assemblies of neurons]</ref>
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# We believe that RP&C is an important primitive of neural computation, and computational learning more generally, and can be shown to have a number of potentially useful properties.<ref name="ref_84170d70" />
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# We can see this by computation.<ref name="ref_3fe567ea">[https://writings.stephenwolfram.com/2017/11/what-is-a-computational-essay/ What Is a Computational Essay?—Stephen Wolfram Writings]</ref>
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# It’s as if in communicating ideas we’re finally able to go beyond pure human effort—and actually leverage the power of computation.<ref name="ref_3fe567ea" />
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# Neural Computation offers access to uncorrected proofs of articles before they are published.<ref name="ref_40d4db80">[https://www.mitpressjournals.org/loi/neco Neural Computation]</ref>
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# The central dogma of computational trinitarianism holds that Logic, Languages, and Categories are but three manifestations of one divine notion of computation.<ref name="ref_2efb3997">[https://ncatlab.org/nlab/show/computational+trinitarianism computational trinitarianism in nLab]</ref>
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# There is no preferred route to enlightenment: each aspect provides insights that comprise the experience of computation in our lives.<ref name="ref_2efb3997" />
 +
# As well as these pathways, the UCL Mathematical Computation MEng will provide you with an excellent foundation for a broad spectrum of different careers.<ref name="ref_bc74e9ca">[https://www.ucl.ac.uk/prospective-students/undergraduate/degrees/mathematical-computation-meng Mathematical Computation MEng]</ref>
 +
# In addition to academic requirements, we are looking for you to demonstrate a proven interest in computing and a clear understanding of what studying mathematical computation entails.<ref name="ref_bc74e9ca" />
 
===소스===
 
===소스===
 
  <references />
 
  <references />

2020년 12월 21일 (월) 03:50 판

노트

  • Computational mathematics involves the use of math and computers to solve problems and predict outcomes.[1]
  • Computational Mathematics: Models, Methods, and Analysis with MATLAB and MPI explores and illustrates this process.[2]
  • Below is a sample list of some future choices to explore following studies in Computational Mathematics.[3]
  • JCM has been sponsored by the Institute of Computational Mathematics of the Chinese Academy of Sciences.[4]
  • Computational mathematics is about solving real world problems with numbers.[5]
  • Computational mathematics may be regarded as consisting of three main fields.[6]
  • Numerical optimization methods are a fast developing subject in computational mathematics.[6]
  • Questions of optimization methods for problem solving are of major importance in most subjects of computational mathematics.[6]
  • Computational mathematics may also refer to the use of computers for mathematics itself.[7]
  • Computational mathematics emerged as a distinct part of applied mathematics by the early 1950s.[7]
  • Computational Mathematics and Mathematical Physics is a monthly journal published in collaboration with the Russian Academy of Sciences.[8]
  • Computational Mathematics is a hybrid program that sits at the intersection of mathematics and computer science.[9]
  • To see more about courses offered in Computational Mathematics, check the Undergraduate Calendar.[9]

소스

  1. ↑ Computational Mathematics
  2. ↑ Computational Mathematics: Models, Methods, and Analysis with MATLAB and MPI (Textbooks in Mathematics): White, Robert E.: 9781584883647: Amazon.com: Books
  3. ↑ Career Education & Development
  4. ↑ Journal of Computational Mathematics JCM
  5. ↑ Computational mathematics
  6. ↑ 6.0 6.1 6.2 Encyclopedia of Mathematics
  7. ↑ 7.0 7.1 Computational mathematics
  8. ↑ Computational Mathematics and Mathematical Physics
  9. ↑ 9.0 9.1 Frequently asked questions | Computational Mathematics

노트

위키데이터

말뭉치

  1. A computation can be seen as a purely physical phenomenon occurring inside a closed physical system called a computer.[1]
  2. The classic account of computation is found throughout the works of Hilary Putnam and others.[1]
  3. Gualtiero Piccinini proposes an account of computation based in mechanical philosophy.[1]
  4. In the theory of computation, a diversity of mathematical models of computers has been developed.[1]
  5. Ti features proprietary processing cores on its silicon—namely, its Tensor cores (for AI computation) and its RT cores (to manage all things ray tracing).[2]
  6. Think again of video games, many of which rely on clever programming to minimize the computation required to construct a virtual world.[2]
  7. Math can be used to understand climate change, health care models, data sciences, computation, all of which come with pressing societal needs.[2]
  8. Doing this requires some clever balancing of computation, since the robot has to keep functioning even if the wireless link suffers from a drop in speed due to interference.[2]
  9. I call this the problem of distinguishing between standard and nonstandard models of computation.[3]
  10. Computational science, also known as scientific computing or scientific computation (SC), is a rapidly growing field that uses advanced computing capabilities to understand and solve complex problems.[4]
  11. At some institutions, a specialization in scientific computation can be earned as a "minor" within another program (which may be at varying levels).[4]
  12. How long, therefore, I lay waiting to hear the ship split upon some rock, or to feel her reel head foremost into the depths of the sea, I have not the means of computation .[5]
  13. There is no theoretical reason for claiming that representations and computation need to be conscious.[6]
  14. In other words, backward-reconstruct paths of zeros that lead to the output of the computation.[6]
  15. Computation is also central to psychology and neuroscience, and perhaps other areas of biology.[7]
  16. According to the computational theory of cognition, cognition is a kind of computation: the behavior of cognitive systems is causally explained by the computations they perform.[7]
  17. In order to test a computational theory of something, we need to know what counts as a computation in a physical system.[7]
  18. Computation may be studied mathematically by formally defining computational objects, such as algorithms and Turing machines, and proving theorems about their properties.[7]
  19. Much of what made computers so revolutionary was that in a relatively short time they could do a complex mathematical computation that would take a human many lifetimes to do.[8]
  20. David Rogers, Weather Prediction Using a Genetic Memory: The most extensive computation known has been conducted over the last billion years on a planet-wide scale: it is the evolution of life.[9]
  21. The power of this computation is illustrated by the complexity and beauty of its crowning achievement, the human brain.[9]
  22. 1In this paper, I analyze the relationship between computational mechanisms—physically instantiated computers—and models of computation.[10]
  23. Models of computation are used in various fields, including, but not limited to, computer science, information technology, and computational modeling in cognitive science.[10]
  24. In the first section, I introduce the notion of a model of computation and sketch some requirements that a satisfactory theory of implementation should meet.[10]
  25. The fourth section gives a short case study of a specific model of computation, namely a Kolmogorov-Uspensky Machine, and shows how the machine was implemented using a biological substrate—slime mold.[10]
  26. That said, they are not “computation appreciation” courses.[11]
  27. Steen's double checked every computation and some he's done four times.[12]
  28. A computation is an operation that begins with some initial conditions and gives an output which follows from a definite set of rules.[13]
  29. The field of computer science studies the nature of computation and its uses, among other things.[13]
  30. A set of rules used to carry out a computation is known as an algorithm.[13]
  31. Harvard has had a long history of groundbreaking research in the theory of computation (ToC, also known as Theoretical Computer Science).[14]
  32. This field addresses the mathematical laws that govern efficient computation, whether by human-made devices or natural phenomena.[14]
  33. All assembly computation described here consists of applications of this operator, which we call random projection and cap (RP&C).[15]
  34. We believe that RP&C is an important primitive of neural computation, and computational learning more generally, and can be shown to have a number of potentially useful properties.[15]
  35. We can see this by computation.[16]
  36. It’s as if in communicating ideas we’re finally able to go beyond pure human effort—and actually leverage the power of computation.[16]
  37. Neural Computation offers access to uncorrected proofs of articles before they are published.[17]
  38. The central dogma of computational trinitarianism holds that Logic, Languages, and Categories are but three manifestations of one divine notion of computation.[18]
  39. There is no preferred route to enlightenment: each aspect provides insights that comprise the experience of computation in our lives.[18]
  40. As well as these pathways, the UCL Mathematical Computation MEng will provide you with an excellent foundation for a broad spectrum of different careers.[19]
  41. In addition to academic requirements, we are looking for you to demonstrate a proven interest in computing and a clear understanding of what studying mathematical computation entails.[19]

소스

  1. ↑ 1.0 1.1 1.2 1.3 Computation
  2. ↑ 2.0 2.1 2.2 2.3 Definition of Computation by Merriam-Webster
  3. ↑ What is computation?
  4. ↑ 4.0 4.1 Computational science
  5. ↑ computation
  6. ↑ 6.0 6.1 meaning in the Cambridge English Dictionary
  7. ↑ 7.0 7.1 7.2 7.3 Computation in Physical Systems (Stanford Encyclopedia of Philosophy)
  8. ↑ computation - Dictionary Definition
  9. ↑ 9.0 9.1 What does computation mean?
  10. ↑ 10.0 10.1 10.2 10.3 Computational Mechanisms and Models of Computation
  11. ↑ Computational Thinking using Python XSeries Program
  12. ↑ Computation Synonyms, Computation Antonyms
  13. ↑ 13.0 13.1 13.2 Computation -- from Wolfram MathWorld
  14. ↑ 14.0 14.1 Theory of Computation at Harvard
  15. ↑ 15.0 15.1 Brain computation by assemblies of neurons
  16. ↑ 16.0 16.1 What Is a Computational Essay?—Stephen Wolfram Writings
  17. ↑ Neural Computation
  18. ↑ 18.0 18.1 computational trinitarianism in nLab
  19. ↑ 19.0 19.1 Mathematical Computation MEng
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