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.
14-750: GCL may refer to: Computing [ edit ] GNU Common Lisp Guarded Command Language , used for predicate transformer semantics Graphical Command Language of Geomview Honours [ edit ] Grand Companion of the Order of Logohu , an honour of Papua New Guinea Grand Cross of the Order of Liberty , an honour of Portugal Science [ edit ] Ganglion cell layer Geosynthetic clay liner Glutamate–cysteine ligase Global coordination level Sports [ edit ] Golf Club of Lebanon Greater Catholic League , an Ohio high school athletic conference Gulf Coast League ,
28-735: A green energy company Government Category List , in the United Kingdom Grenadian Creole English , ISO 639-3 code gcl Griffith College Limerick , in Ireland Topics referred to by the same term [REDACTED] This disambiguation page lists articles associated with the title GCL . If an internal link led you here, you may wish to change the link to point directly to the intended article. Retrieved from " https://en.wikipedia.org/w/index.php?title=GCL&oldid=1182984552 " Category : Disambiguation pages Hidden categories: Short description
42-532: A rookie-level Minor League Baseball league Transport [ edit ] Glassboro–Camden Line , a proposed light rail line between Camden and Glassboro in New Jersey Gul Circle MRT station , a Mass Rapid Transit station in Tuas, Singapore (MRT station abbreviation) Gulf Coast Lines , a defunct American railway company Other uses [ edit ] GCL-Poly , Golden Concord Group Limited,
56-442: A type as argument, and its return value can also be a type. For example, Fraction is a function, that takes an IntegralDomain as argument, and returns the field of fractions of its argument. As another example, the ring of 4 × 4 {\displaystyle 4\times 4} matrices with rational entries would be constructed as SquareMatrix(4, Fraction Integer) . Of course, when working in this domain, 1
70-404: Is "Proving Axiom Sane" , that is, logical, rational, judicious, and sound. Axiom is a literate program . The source code is becoming available in a set of volumes which are available on the axiom-developer.org website. These volumes contain the actual source code of the system. The currently available documents are: The Axiom project has a major focus on providing documentation. Recently
84-479: Is different from Wikidata All article disambiguation pages All disambiguation pages GNU Common Lisp GNU Common Lisp ( GCL ) is the GNU Project 's ANSI Common Lisp compiler, an evolutionary development of Kyoto Common Lisp . It produces native object code by first generating C code and then calling a C compiler. GCL is the implementation of choice for several large projects including
98-438: Is interpreted as the identity matrix and A^-1 would give the inverse of the matrix A , if it exists. Several operations can have the same name, and the types of both the arguments and the result are used to determine which operation is applied (cf. function overloading ). Axiom comes with an extension language called SPAD. All the mathematical knowledge of Axiom is written in this language. The interpreter accepts roughly
112-530: Is used throughout the source code. Axiom plans to use proof technology to prove the correctness of the algorithms (such as Coq and ACL2 ). Axiom uses Docker Containers as part of a continuous release process. The latest image is available on any platform using docker and the commands: In Axiom, each object has a type. Examples of types are mathematical structures (such as rings , fields , polynomials ) as well as data structures from computer science (e.g., lists , trees , hash tables ). A function can take
126-415: The mathematical tools Maxima , AXIOM , HOL88 , and ACL2 . GCL runs under eleven different architectures on Linux , and under FreeBSD , Solaris , Mac OS X , and Microsoft Windows . Last stable release of GCL is of January 13, 2023. Axiom (computer algebra system) Two computer algebra systems named Scratchpad were developed by IBM . The first one was started in 1965 by James Griesmer at
140-507: The project announced the first in a series of instructional videos, which are also available on the axiom-developer.org website. The first video provides details on the Axiom information sources. The Axiom project focuses on the “30 Year Horizon”. The primary philosophy is that Axiom needs to develop several fundamental features in order to be useful to the next generation of computational mathematicians. Knuth's literate programming technique
154-766: The project were David Barton (University of California, Berkeley) and James W. Thatcher (IBM Research). Implementation included Robert Sutor (IBM Research), Scott C. Morrison (University of California, Berkeley), Christine J. Sundaresan (IBM Research), Timothy Daly (IBM Research), Patrizia Gianni (University of Pisa), Albrecht Fortenbacher (Universitaet Karlsruhe), Stephen M. Watt (IBM Research and University of Waterloo), Josh Cohen (Yale University), Michael Rothstein (Kent State University), Manuel Bronstein (IBM Research), Michael Monagan (Simon Fraser University), Jonathan Steinbach (IBM Research), William Burge (IBM Research), Jim Wen (IBM Research), William Sit (City College of New York), and Clifton Williamson (IBM Research) Scratchpad II
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#1732855443682168-598: 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
182-414: The same language. Within the interpreter environment, Axiom uses type inference and a heuristic algorithm to make explicit type annotations mostly unnecessary. It features 'HyperDoc', an interactive browser-like help system, and can display two and three dimensional graphics, also providing interactive features like rotation and lighting. It also has a specialized interaction mode for Emacs , as well as
196-599: Was renamed Axiom when IBM decided, circa 1990, to make it a commercial product. A few years later, it was sold to NAG . In 2001, it was withdrawn from the market and re-released under the Modified BSD License . Since then, the project's lead developer has been Tim Daly. In 2007, Axiom was forked twice, originating two different open-source projects: OpenAxiom and FriCAS , following "serious disagreement about project goals". The Axiom project continued to be developed by Tim Daly. The current research direction
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