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SMP (computer Algebra System)
Symbolic Manipulation Program, usually called SMP, was a computer algebra system designed by Chris A. Cole and Stephen Wolfram at Caltech circa 1979. It was initially developed in the Caltech physics department with contributions from Geoffrey C. Fox, Jeffrey M. Greif, Eric D. Mjolsness, Larry J. Romans, Timothy Shaw, and Anthony E. Terrano. SMP was first sold commercially in 1981, by the Computer Mathematics Corporation of Los Angeles, which later became part of Inference Corporation. Inference further developed the program and marketed it commercially from 1983 to 1988, but it was not a commercial success, and Inference became pessimistic about the market for symbolic math programs, and so abandoned SMP to concentrate on expert systems. SMP was influenced by the earlier computer algebra systems Macsyma (of which Wolfram was a user) and Schoonschip (whose code Wolfram studied). SMP follows a rule-based approach, giving it a "consistent, pattern-directed language". Unlike Macsy ...
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Computer Algebra System
A computer algebra system (CAS) or symbolic algebra system (SAS) is any mathematical software with the ability to manipulate mathematical expressions in a way similar to the traditional manual computations of mathematicians and scientists. The development of the computer algebra systems in the second half of the 20th century is part of the discipline of "computer algebra" or "symbolic computation", which has spurred work in algorithms over mathematical objects such as polynomials. Computer algebra systems may be divided into two classes: specialized and general-purpose. The specialized ones are devoted to a specific part of mathematics, such as number theory, group theory, or teaching of elementary mathematics. General-purpose computer algebra systems aim to be useful to a user working in any scientific field that requires manipulation of mathematical expressions. To be useful, a general-purpose computer algebra system must include various features such as: *a user interface allo ...
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C Programming Language
''The C Programming Language'' (sometimes termed ''K&R'', after its authors' initials) is a computer programming book written by Brian Kernighan and Dennis Ritchie, the latter of whom originally designed and implemented the language, as well as co-designed the Unix operating system with which development of the language was closely intertwined. The book was central to the development and popularization of the C programming language and is still widely read and used today. Because the book was co-authored by the original language designer, and because the first edition of the book served for many years as the ''de facto'' standard for the language, the book was regarded by many to be the authoritative reference on C. History C was created by Dennis Ritchie at Bell Labs in the early 1970s as an augmented version of Ken Thompson's B. Another Bell Labs employee, Brian Kernighan, had written the first C tutorial, and he persuaded Ritchie to coauthor a book on the language. Ker ...
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Polynomial Greatest Common Divisor
In algebra, the greatest common divisor (frequently abbreviated as GCD) of two polynomials is a polynomial, of the highest possible degree, that is a factor of both the two original polynomials. This concept is analogous to the greatest common divisor of two integers. In the important case of univariate polynomials over a field the polynomial GCD may be computed, like for the integer GCD, by the Euclidean algorithm using long division. The polynomial GCD is defined only up to the multiplication by an invertible constant. The similarity between the integer GCD and the polynomial GCD allows extending to univariate polynomials all the properties that may be deduced from the Euclidean algorithm and Euclidean division. Moreover, the polynomial GCD has specific properties that make it a fundamental notion in various areas of algebra. Typically, the roots of the GCD of two polynomials are the common roots of the two polynomials, and this provides information on the roots without computi ...
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Floating-point Numbers
In computing, floating-point arithmetic (FP) is arithmetic that represents real numbers approximately, using an integer with a fixed precision, called the significand, scaled by an integer exponent of a fixed base. For example, 12.345 can be represented as a base-ten floating-point number: 12.345 = \underbrace_\text \times \underbrace_\text\!\!\!\!\!\!^ In practice, most floating-point systems use base two, though base ten (decimal floating point) is also common. The term ''floating point'' refers to the fact that the number's radix point can "float" anywhere to the left, right, or between the significant digits of the number. This position is indicated by the exponent, so floating point can be considered a form of scientific notation. A floating-point system can be used to represent, with a fixed number of digits, numbers of very different orders of magnitude — such as the number of meters between galaxies or between protons in an atom. For this reason, floating-poin ...
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Scratchpad (computer Algebra System)
Axiom is a free, general-purpose computer algebra system. It consists of an interpreter environment, a compiler and a library, which defines a strongly typed hierarchy. History Two computer algebra systems named Scratchpad were developed by IBM. The first one was started in 1965 by James Griesmer at the request of Ralph Gomory, and written in Fortran. The development of this software was stopped before any public release. The second Scratchpad, originally named Scratchpad II, was developed from 1977 on, at Thomas J. Watson Research Center, under the direction of Richard Dimick Jenks. The design is principally due to Richard D. Jenks (IBM Research), James H. Davenport (University of Bath), Barry M. Trager (IBM Research), David Y.Y. Yun (Southern Methodist University) and Victor S. Miller (IBM Research). Early consultants on the project were David Barton (University of California, Berkeley) and James W. Thatcher (IBM Research). Implementation included Robert Sutor (IBM Resear ...
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Maple (computer Algebra System)
Maple is a symbolic and numeric computing environment as well as a multi-paradigm programming language. It covers several areas of technical computing, such as symbolic mathematics, numerical analysis, data processing, visualization, and others. A toolbox, MapleSim, adds functionality for multidomain physical modeling and code generation. Maple's capacity for symbolic computing include those of a general-purpose computer algebra system. For instance, it can manipulate mathematical expressions and find symbolic solutions to certain problems, such as those arising from ordinary and partial differential equations. Maple is developed commercially by the Canadian software company Maplesoft. The name 'Maple' is a reference to the software's Canadian heritage. Overview Core functionality Users can enter mathematics in traditional mathematical notation. Custom user interfaces can also be created. There is support for numeric computations, to arbitrary precision, as well as symbolic co ...
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MuMATH
muMATH is a computer algebra system (CAS), which was developed in the late 1970s and early eighties by Albert D. Rich and David Stoutemyer of Soft Warehouse in Honolulu, Hawaii. It was implemented in the muSIMP programming language which was built on top of a LISP dialect called . Platforms supported were CP/M and TRS-DOS (since muMATH-79), Apple II (since muMATH-80) and DOS (in muMATH-83, the last version, which was published by Microsoft). The Soft Warehouse later developed Derive, another computer algebra system. The company was purchased by Texas Instruments Texas Instruments Incorporated (TI) is an American technology company headquartered in Dallas, Texas, that designs and manufactures semiconductors and various integrated circuits, which it sells to electronics designers and manufacturers globa ... in 1999, and development of Derive ended in 2006. Literature * David D. Shochat, ''A Symbolic Mathematics System'', Creative Computing, Oct. 1982, p. 26 * Gregg ...
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Axiom (computer Algebra System)
Axiom is a free, general-purpose computer algebra system. It consists of an interpreter environment, a compiler and a library, which defines a strongly typed hierarchy. History Two computer algebra systems named Scratchpad were developed by IBM. The first one was started in 1965 by James Griesmer at the request of Ralph Gomory, and written in Fortran. The development of this software was stopped before any public release. The second Scratchpad, originally named Scratchpad II, was developed from 1977 on, at Thomas J. Watson Research Center, under the direction of Richard Dimick Jenks. The design is principally due to Richard D. Jenks (IBM Research), James H. Davenport (University of Bath), Barry M. Trager (IBM Research), David Y.Y. Yun (Southern Methodist University) and Victor S. Miller (IBM Research). Early consultants on the project were David Barton (University of California, Berkeley) and James W. Thatcher (IBM Research). Implementation included Robert Sutor (IBM Resear ...
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Reduce (computer Algebra System)
Reduce is a general-purpose computer algebra system geared towards applications in physics. The development of the Reduce computer algebra system was started in the 1960s by Anthony C. Hearn. Since then, many scientists from all over the world have contributed to its development under his direction. Reduce is written entirely in its own LISP dialect called Portable Standard Lisp, expressed in an ALGOL-like syntax called RLISP. The latter is used as a basis for Reduce's user-level language. Implementations of Reduce are available on most variants of Unix, Linux, Microsoft Windows, or Apple Macintosh systems by using an underlying Portable Standard Lisp or Codemist Standard LISP implementation. The Julia package Reduce.jl uses Reduce as a backend and implements its semantics in Julia style. Reduce was open sourced in December 2008 and is available for free under a modified BSD license on SourceForge. Previously it had cost $695. See also * Comparison of computer algebra ...
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Michael Swaine (technical Author)
''Pirates of Silicon Valley'' is a 1999 American biographical drama television film directed by Martyn Burke and starring Noah Wyle as Steve Jobs and Anthony Michael Hall as Bill Gates. Spanning the years 1971–1997 and based on Paul Freiberger and Michael Swaine's 1984 book ''Fire in the Valley: The Making of the Personal Computer'', it explores the impact that the rivalry between Jobs ( Apple Computer) and Gates (Microsoft) had on the development of the personal computer. The film premiered on TNT on June 20, 1999. Plot Steve Jobs is speaking with director Ridley Scott about the creation of the 1984 advertisement for Apple Computer, which introduced the first Macintosh. Jobs is trying to convey his idea that "We're creating a completely new consciousness." Scott is more concerned with the technical aspects of the advertisement. Next in 1997 with Jobs, returning to Apple, and announcing a new deal with Microsoft at the 1997 Macworld Expo. His partner, Steve "Woz" Woz ...
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Chris A
Chris is a short form of various names including Christopher, Christian, Christina, Christine, and Christos. Chris is also used as a name in its own right, however it is not as common. People with the given name * Chris Abani (born 1966), Nigerian author * Chris Abrahams (born 1961), Sydney-based jazz pianist *Chris Adams (other), multiple people * Chris Adcock (born 1989), English internationally elite badminton player * Chris Albright (born 1979), American former soccer player *Chris Alcaide (1923–2004), American actor *Chris Amon (1943–2016), former New Zealand motor racing driver *Chris Andersen (born 1978), American basketball player * Chris Anderson (other), multiple people *Chris Angel (wrestler) (born 1982), Puerto Rican professional wrestler *Chris Anker Sørensen (born 1984), Danish cycler *Chris Anstey (born 1975), Australian basketball player * Chris Anthony, American voice actress *Chris Antley (1966–2000), champion American jockey *Chris A ...
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Schoonschip
Schoonschip was one of the first computer algebra systems, developed in 1963 by Martinus J. G. Veltman, for use in particle physics. "Schoonschip" refers to the Dutch expression "schoon schip maken": to make a clean sweep, to clean/clear things up (literally: to make the ship clean). The name was chosen "among others to annoy everybody, who could not speak Dutch". Veltman initially developed the program to compute the quadrupole moment of the W boson, the computation of which involved "a monstrous expression involving in the order of 50,000 terms in intermediate stages" The initial version, dating to December 1963, ran on an IBM 7094 mainframe. In 1966 it was ported to the CDC 6600 mainframe, and later to most of the rest of Control Data's CDC line. In 1983 it was ported to the Motorola 68000 microprocessor, allowing its use on a number of 68000-based systems running variants of Unix. FORM can be regarded, in a sense, as the successor to Schoonschip. See also * Compariso ...
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