Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Symbolic_computation> ?p ?o }
- Symbolic_computation abstract "In computational mathematics, computer algebra, also called symbolic computation or algebraic computation is a scientific area that refers to the study and development of algorithms and software for manipulating mathematical expressions and other mathematical objects. Although, properly speaking, computer algebra should be a subfield of scientific computing, they are generally considered as distinct fields because scientific computing is usually based on numerical computation with approximate floating point numbers, while symbolic computation emphasizes exact computation with expressions containing variables that have no given value and are manipulated as symbols, hence the name symbolic computation.Software applications that perform symbolic calculations are called computer algebra systems, with the term system alluding to the complexity of the main applications that include, at least, a method to represent mathematical data in a computer, a user programming language (usually different from the language used for the implementation), a dedicated memory manager, a user interface for the input/output of mathematical expressions, a large set of routines to perform usual operations, like simplification of expressions, differentiation using chain rule, polynomial factorization, indefinite integration, etc.At the beginning of computer algebra, circa 1970, when the long-known algorithms were first put on computers, they turned out to be highly inefficient. Therefore, a large part of the work of the researchers in the field consisted in revisiting classical algebra in order to make it effective and to discover efficient algorithms to implement this effectiveness. A typical example of this kind of work is the computation of polynomial greatest common divisors, which is required to simplify fractions. Surprisingly, the classical Euclid's algorithm turned out to be inefficient for polynomials over infinite fields, and thus new algorithms needed to be developed. The same was also true for the classical algorithms from linear algebra.Computer algebra is widely used to experiment in mathematics and to design the formulas that are used in numerical programs. It is also used for complete scientific computations, when purely numerical methods fail, like in public key cryptography or for some non-linear problems.".
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- Symbolic_computation wikiPageWikiLink Algebra.
- Symbolic_computation wikiPageWikiLink Algorithm.
- Symbolic_computation wikiPageWikiLink Algorithmic_efficiency.
- Symbolic_computation wikiPageWikiLink Antiderivative.
- Symbolic_computation wikiPageWikiLink Association_for_Computing_Machinery.
- Symbolic_computation wikiPageWikiLink Associative_property.
- Symbolic_computation wikiPageWikiLink Automated_proof_checking.
- Symbolic_computation wikiPageWikiLink Automated_theorem_proving.
- Symbolic_computation wikiPageWikiLink Bruno_Buchberger.
- Symbolic_computation wikiPageWikiLink Canonical_form.
- Symbolic_computation wikiPageWikiLink Category:Computer_algebra.
- Symbolic_computation wikiPageWikiLink Chain_rule.
- Symbolic_computation wikiPageWikiLink Commutative_property.
- Symbolic_computation wikiPageWikiLink Computable_function.
- Symbolic_computation wikiPageWikiLink Computational_mathematics.
- Symbolic_computation wikiPageWikiLink Computational_science.
- Symbolic_computation wikiPageWikiLink Computer-assisted_proof.
- Symbolic_computation wikiPageWikiLink Computer_algebra_system.
- Symbolic_computation wikiPageWikiLink Derivative.
- Symbolic_computation wikiPageWikiLink Distributive_property.
- Symbolic_computation wikiPageWikiLink Euclidean_algorithm.
- Symbolic_computation wikiPageWikiLink Expression_(mathematics).
- Symbolic_computation wikiPageWikiLink Factorization_of_polynomials.
- Symbolic_computation wikiPageWikiLink Floating_point.
- Symbolic_computation wikiPageWikiLink GNU_Multiple_Precision_Arithmetic_Library.
- Symbolic_computation wikiPageWikiLink Hash_function.
- Symbolic_computation wikiPageWikiLink Hash_table.
- Symbolic_computation wikiPageWikiLink Integer.
- Symbolic_computation wikiPageWikiLink International_Symposium_on_Symbolic_and_Algebraic_Computation.
- Symbolic_computation wikiPageWikiLink Irreducible_fraction.
- Symbolic_computation wikiPageWikiLink Journal_of_Symbolic_Computation.
- Symbolic_computation wikiPageWikiLink Learned_society.
- Symbolic_computation wikiPageWikiLink Like_terms.
- Symbolic_computation wikiPageWikiLink Linear_algebra.
- Symbolic_computation wikiPageWikiLink List_of_trigonometric_identities.
- Symbolic_computation wikiPageWikiLink Macsyma.
- Symbolic_computation wikiPageWikiLink Maple_(software).
- Symbolic_computation wikiPageWikiLink Mathematical_object.
- Symbolic_computation wikiPageWikiLink Model_checking.
- Symbolic_computation wikiPageWikiLink Nonlinear_system.
- Symbolic_computation wikiPageWikiLink Number.
- Symbolic_computation wikiPageWikiLink Numerical_analysis.
- Symbolic_computation wikiPageWikiLink Numerical_digit.
- Symbolic_computation wikiPageWikiLink Pointer_(computer_programming).
- Symbolic_computation wikiPageWikiLink Polynomial.
- Symbolic_computation wikiPageWikiLink Polynomial_greatest_common_divisor.
- Symbolic_computation wikiPageWikiLink Programming_language.
- Symbolic_computation wikiPageWikiLink Public-key_cryptography.
- Symbolic_computation wikiPageWikiLink Radix.
- Symbolic_computation wikiPageWikiLink Rational_function.
- Symbolic_computation wikiPageWikiLink Rational_number.
- Symbolic_computation wikiPageWikiLink Rewriting.
- Symbolic_computation wikiPageWikiLink Richardsons_theorem.
- Symbolic_computation wikiPageWikiLink SIGSAM.
- Symbolic_computation wikiPageWikiLink Sequence.
- Symbolic_computation wikiPageWikiLink Software.
- Symbolic_computation wikiPageWikiLink Special_Interest_Group.
- Symbolic_computation wikiPageWikiLink Subroutine.
- Symbolic_computation wikiPageWikiLink Symbolic-numeric_computation.
- Symbolic_computation wikiPageWikiLink Symbolic_simulation.
- Symbolic_computation wikiPageWikiLink User_interface.
- Symbolic_computation wikiPageWikiLink Variable_(mathematics).
- Symbolic_computation wikiPageWikiLink Word_(computer_architecture).
- Symbolic_computation wikiPageWikiLinkText "Algebraic (symbolic) computation".
- Symbolic_computation wikiPageWikiLinkText "Symbolic Mathematics".
- Symbolic_computation wikiPageWikiLinkText "Symbolic computation".
- Symbolic_computation wikiPageWikiLinkText "Symbolic expressions".
- Symbolic_computation wikiPageWikiLinkText "Symbolic".
- Symbolic_computation wikiPageWikiLinkText "algebra".
- Symbolic_computation wikiPageWikiLinkText "computational algebra".
- Symbolic_computation wikiPageWikiLinkText "computational logic".
- Symbolic_computation wikiPageWikiLinkText "computer algebra".
- Symbolic_computation wikiPageWikiLinkText "exceptions".
- Symbolic_computation wikiPageWikiLinkText "intermediate expression swell".
- Symbolic_computation wikiPageWikiLinkText "simplification".
- Symbolic_computation wikiPageWikiLinkText "simplifier".
- Symbolic_computation wikiPageWikiLinkText "simplify".
- Symbolic_computation wikiPageWikiLinkText "symbolic analysis".
- Symbolic_computation wikiPageWikiLinkText "symbolic computation".
- Symbolic_computation wikiPageWikiLinkText "symbolic manipulations".
- Symbolic_computation wikiPageWikiLinkText "symbolic mathematical computation".
- Symbolic_computation wikiPageWikiLinkText "symbolic mathematical".
- Symbolic_computation wikiPageWikiLinkText "symbolic mathematics".
- Symbolic_computation wikiPageWikiLinkText "symbolic operations".
- Symbolic_computation wikiPageWikiLinkText "symbolic".
- Symbolic_computation wikiPageWikiLinkText "symbolically".
- Symbolic_computation wikiPageWikiLinkText "symbols".
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