Dynamic Computer Algebra System

Dynamic Computer Algebra System

Dcas is a dynamic computer algebra system featuring the idea of using identities as rules for manipulation of algebra. Robert Fenichel developed a system called FAMOUS in the 1970s using the LISP programming language pursuing the same aim.

A modern system DCAS has been implemented by Martin Johansen called DCAS Ether. The system works by selecting a class of identities based on the form of the input expression.

Here are two examples of identity collections, one for basic algebra, the other for Boolean algebra.


/* Distributivity */
        x*(a + b) = a*x + b*x;

/* Powers */
        (a*b)^c = a^c*b^c;
        (a^b)^c = a^(b*c);


/* add, sub */
        solveequ(x, (gfvi(f(x)) + gfve(a(x)) = gfve(b(x)))) = solveequ(x, f = b - a);
        solveequ(x, (gfvi(f(x)) + gfve(a(x)) + c = gfve(b(x)))) = solveequ(x, f + c = b - a);

/* mul, div */
        solveequ(x, (gfvi(f(x))*gfve(a(x))*c = gfve(b(x)))) = solveequ(x, f*c = b/a);
        solveequ(x, gfvi(f(x))*gfve(a(x)) = gfve(b(x))) = solveequ(x, f = b/a);

See also

External links


Wikimedia Foundation. 2010.

Игры ⚽ Нужен реферат?

Look at other dictionaries:

  • Dynamic Computer Algebra System — Saltar a navegación, búsqueda Dcas es un programa de álgebra computacional que tiene como característica principal el uso de identidades como reglas para la manipulación de álgebra. Robert Fenichel desarrolló un programa llamado FAMOUS en la… …   Wikipedia Español

  • Genera (operating system) — Genera Company / developer Symbolics OS family Lisp Machine OS Initial release 1982 …   Wikipedia

  • Dynamic logic (modal logic) — For the subject in digital electronics also known as clocked logic, see dynamic logic (digital electronics). Dynamic logic is an extension of modal logic originally intended for reasoning about computer programs and later applied to more general… …   Wikipedia

  • computer — computerlike, adj. /keuhm pyooh teuhr/, n. 1. Also called processor. an electronic device designed to accept data, perform prescribed mathematical and logical operations at high speed, and display the results of these operations. Cf. analog… …   Universalium

  • List of pioneers in computer science — This article presents a list of individuals who helped in the creation, development and imagining of what computers and electronics could do. Contents 1 See also 2 External links Person Achievement Ach. Date John Atanasoff Built the first… …   Wikipedia

  • Portal:Computer science — Wikipedia portals: Culture Geography Health History Mathematics Natural sciences People Philosophy Religion Society Technology …   Wikipedia

  • Dynamical system — This article is about the general aspects of dynamical systems. For technical details, see Dynamical system (definition). For the study, see Dynamical systems theory. Dynamical redirects here. For other uses, see Dynamics (disambiguation). The… …   Wikipedia

  • Geographic information system — GIS redirects here. For other uses, see GIS (disambiguation). A geographic information system, geographical information science, or geospatial information studies is a system designed to capture, store, manipulate, analyze, manage, and present… …   Wikipedia

  • digital computer — a computer that processes information in digital form. Cf. analog computer. [1940 45] * * * Computer capable of solving problems by processing information expressed in discrete form. By manipulating combinations of binary digits (see binary code) …   Universalium

  • SAS System — Infobox Software name = SAS caption = SAS 9 on Microsoft Windows developer = SAS Institute latest release version = 9.2 latest release date = March, 2008 operating system = Windows, IBM mainframe, Unix/Linux, OpenVMS Alpha genre = numerical… …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”