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Computer algebra system: History, Applications & Art

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…

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Computer algebra system topic overview

The analysis highlights History, Applications and Art as prominent areas in the source structure around Computer algebra system.

Related topics
139
Source areas
7
Connected nodes
146
Extracted relationships
53
Concept neighborhoods
45
Bridge connections
146

What this topic covers Research coverage

Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.

Overview · 29 topics
History · 27 topics
Mathematics used in computer algebra systems · 24 topics
Symbolic manipulations · 22 topics
Additional capabilities · 17 topics
Types of expressions · 11 topics
Use in education · 9 topics

Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.

Explore all related topics Closing gaps

Browse the complete topic structure, not only the most central items. Less prominent entities and concepts can reveal missing angles, specialized context and useful research gaps. Each item opens a new analysis centered on that subject.

Overview

History

Symbolic manipulations

Additional capabilities

Types of expressions

Use in education

Mathematics used in computer algebra systems

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

How Computer algebra system connects Entity context

The extracted context around Computer algebra system shows recurring relationship patterns in the source. For example, Computer algebra system → Age, Assessment, At, Clearinghouse, Columbus, Computer Algebra Systems Archived, Curriculum, December, Education Resources Information Center, Environmental Education, Essays, Fateman, From, Mathematics, MIT LCS, MIT-LCS-TR-095, Of, Ohio, Richard, Science Another extracted example is Computer algebra system → Computer, Dutch, FORMAC, In, Martinus Veltman, Nobel Prize, Other, Schoonschip. Use these groups to spot repeated connection types before inspecting the individual relationships.

Computer algebra system

Top relations

related to External links · 22
Computer algebra system → Age, Assessment, At, Clearinghouse, Columbus, Computer Algebra Systems Archived, Curriculum, December, Education Resources Information Center, Environmental Education, Essays, Fateman, From, Mathematics, MIT LCS, MIT-LCS-TR-095, Of, Ohio, Richard, Science
related to history · 8
Computer algebra system → Computer, Dutch, FORMAC, In, Martinus Veltman, Nobel Prize, Other, Schoonschip
related to Use in education · 6
Computer algebra system → Computer, It, Many, The, There, This
see also · 2
Computer algebra system → List, Mathematics
related to Additional capabilities · 1
Computer algebra system → Many

Important terminology

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

systems computer algebra include mathematical symbolic mathematics computation expressions system general-purpose used via algorithms algorithm cas typically functions number user

Computer algebra system relationships Subject–Predicate–Object triples

TTTA extracted 53 structured relationships around Computer algebra system. Examples in this analysis include polynomials.Computer algebra systems may be divided into two classes → instance of → which has spurred work in algorithms over mathematical objects and expansion → instance of → including multidimensional integralssymbolic constrained and unconstrained global optimizationsolution of linear and some non-linear equations over various domainssolution of so…. The table shows each extracted connection, where it came from and its confidence.

SubjectPredicateObjectConfidenceSrc
polynomials.Computer algebra systems may be divided into two classesinstance ofwhich has spurred work in algorithms over mathematical objects0.80text
expansioninstance ofincluding multidimensional integralssymbolic constrained and unconstrained global optimizationsolution of linear and some non-linear equations over various domainssolution of so…0.80text
summationinstance ofincluding multidimensional integralssymbolic constrained and unconstrained global optimizationsolution of linear and some non-linear equations over various domainssolution of so…0.80text
productsmatrix operations including productsinstance ofincluding multidimensional integralssymbolic constrained and unconstrained global optimizationsolution of linear and some non-linear equations over various domainssolution of so…0.80text
inversesinstance ofincluding multidimensional integralssymbolic constrained and unconstrained global optimizationsolution of linear and some non-linear equations over various domainssolution of so…0.80text
etc.statistical computationtheorem provinginstance ofincluding multidimensional integralssymbolic constrained and unconstrained global optimizationsolution of linear and some non-linear equations over various domainssolution of so…0.80text
verification which is very useful in the area of experimental mathematicsoptimized code generationIn the aboveinstance ofincluding multidimensional integralssymbolic constrained and unconstrained global optimizationsolution of linear and some non-linear equations over various domainssolution of so…0.80text
the word some indicates that the operation cannot always be performedinstance ofincluding multidimensional integralssymbolic constrained and unconstrained global optimizationsolution of linear and some non-linear equations over various domainssolution of so…0.80text
a databaseinstance ofand animating themdrawing charts and diagramsAPIs for linking it on an external program0.80text
or using in a programming language to use the computer algebra systemstring manipulation such as matchinginstance ofand animating themdrawing charts and diagramsAPIs for linking it on an external program0.80text
searchingadd-ons for use in applied mathematics such as physicsinstance ofand animating themdrawing charts and diagramsAPIs for linking it on an external program0.80text
bioinformaticsinstance ofand animating themdrawing charts and diagramsAPIs for linking it on an external program0.80text

Related concept clusters Concept neighborhoods

The concept neighborhoods around Computer algebra system bring nearby vocabulary together. In this analysis, examples include Computer, Systems and Functions. Use the clusters to find adjacent concepts and terminology that may deserve separate research.

  • Computer algebra system
    • Computer
    • Systems
    • Functions
    • Mathematics
    • Mathematical
    • Education
    • General-purpose
    • Simplifier
    • Expressions
    • Computation
    • Include
    • Including
  • computer algebra system
    • Computer
    • Systems
    • Programming
    • Functions
    • Mathematics
    • Typically
    • Mathematical
    • Education
    • General-purpose
    • Simplifier
    • User
    • Expressions
  • mathematical software
    • System
    • Algorithms
    • Computation
    • User
    • Expressions
    • Manipulation
    • Useful
    • General-purpose
    • Programming
    • Functions
    • Typically
    • Symbolic
  • mathematical expressions
    • System
    • Algorithms
    • Manipulation
    • Computation
    • Functions
    • Typically
    • User
    • Expressions
    • Mathematical
    • Useful
    • Symbolic
    • Also
  • computer algebra
    • Computer
    • Systems
    • Mathematics
    • Mathematical
    • Education
    • General-purpose
    • Expressions
    • Symbolic
    • Computation
    • Manipulation
    • Two
    • Algorithms
  • algorithms
    • Mathematical
    • Computation
    • Programming
    • System
    • Functions
    • Typically
    • Symbolic
    • Simplifier
    • User
    • Mathematics
    • Also
    • Include
  • mathematical objects
    • System
    • Algorithms
    • Computation
    • User
    • Expressions
    • Manipulation
    • Useful
    • General-purpose
    • Programming
    • Functions
    • Typically
    • Symbolic
  • elementary mathematics
    • Education
    • Programming
    • Functions
    • Typically
    • Symbolic
    • Also
    • Including
    • Manipulation
    • Specialized
    • Useful
    • Various
    • Include

Connections between topic areas Semantic bridges

For Computer algebra system, one of the stronger structural bridges in this analysis connects Computer algebra system with Overview. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.

Min side: 3
Computer algebra systemOverview · splits 117 ⟂ 30
Computer algebra systemHistory · splits 119 ⟂ 28
Computer algebra systemMathematics used in computer algebra systems · splits 122 ⟂ 25
Computer algebra systemSymbolic manipulations · splits 124 ⟂ 23
Computer algebra systemAdditional capabilities · splits 129 ⟂ 18
Computer algebra systemTypes of expressions · splits 135 ⟂ 12
Computer algebra systemUse in education · splits 137 ⟂ 10

Map overview Semantic statistics

Computer algebra system

Nodes147
Edges146
Triples53
Avg. degree1.99
Density0.013605
Components1

Source & methodology

TTTA analyzes the structure around Computer algebra system to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as History, Applications & Art, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.

Source: Wikipedia — Computer algebra system · EN edition · Analysis: TopicsToTalkAbout

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