Search results for "Symbolic computation"

showing 10 items of 124 documents

Introduction to the GiNaC Framework for Symbolic Computation within the C++ Programming Language

2002

AbstractThe traditional split into a low level language and a high level language in the design of computer algebra systems may become obsolete with the advent of more versatile computer languages. We describe GiNaC, a special-purpose system that deliberately denies the need for such a distinction. It is entirely written in C++and the user can interact with it directly in that language. It was designed to provide efficient handling of multivariate polynomials, algebras and special functions that are needed for loop calculations in theoretical quantum field theory. It also bears some potential to become a more general purpose symbolic package.

Computer Science - Symbolic ComputationI.1.3FOS: Computer and information sciencesFor loopTheoretical computer scienceAlgebra and Number TheoryFOS: Physical sciencesI.1.1; I.1.3Symbolic Computation (cs.SC)Computational Physics (physics.comp-ph)Symbolic computationI.1.1High Energy Physics - PhenomenologyComputational MathematicsHigh Energy Physics - Phenomenology (hep-ph)General purposeHigh-level programming languageSpecial functionsFourth-generation programming languagePhysics - Computational PhysicsC programming languageLow-level programming languageMathematicsJournal of Symbolic Computation
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S3. Generalisation tests: Likelihood model, scenarios investigated and results from Hard to catch: experimental evidence supports evasive mimicry

2021

Detailed description of the different scenarios investigated for the generalisation test. Full results from the likelihood models are included as well.

Computer Science::Symbolic Computation
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Computer code from Sex roles and the evolution of parental care specialization.

2019

Computer code for the mathematical model in Mathematica

ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONMathematicsofComputing_NUMERICALANALYSISMathematicsofComputing_GENERALComputer Science::Mathematical SoftwareComputer Science::Symbolic Computation16. Peace & justice
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Computer code from Sex roles and the evolution of parental care specialization

2019

Computer code for the mathematical model in Mathematica

ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONMathematicsofComputing_NUMERICALANALYSISMathematicsofComputing_GENERALComputer Science::Mathematical SoftwareComputer Science::Symbolic Computation16. Peace & justice
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Computer code from Sex roles and the evolution of parental care specialization.

2019

Computer code for the mathematical model in Mathematica

ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONMathematicsofComputing_NUMERICALANALYSISMathematicsofComputing_GENERALComputer Science::Mathematical SoftwareComputer Science::Symbolic Computation16. Peace & justice
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Nondeterministic operations on finite relational structures

1998

Abstract This article builds on a tutorial introduction to universal algebra for language theory (Courcelle, Theoret. Comput. Sci. 163 (1996) 1–54) and extends it in two directions. First, nondeterministic operations are considered, i.e., operations which give a set of results instead of a single one. Most of their properties concerning recognizability and equational definability carry over from the ordinary case with minor modifications. Second, inductive sets of evaluations are studied in greater detail. It seems that they are handled most naturally in the framework presented here. We consider the analogues of top-down and bottom-up tree transducers. Again, most of their closure propertie…

Discrete mathematicsFinite-state machineGeneral Computer ScienceComputer scienceLogicFormal languages (recognizable and context-free sets transducers)Unbounded nondeterminismMonad (functional programming)Symbolic computationHypergraphsFirst-order logicLogical theoryDecidabilityTheoretical Computer ScienceNondeterministic algorithmAlgebraDeterministic automatonFormal languageUniversal algebraEquivalence relationTree transducersRewritingComputer Science(all)Theoretical Computer Science
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INCIDENCE CONSTRAINTS: A COMBINATORIAL APPROACH

2006

The simplest geometric constraints are incidences between points and lines in the projective plane. This problem is universal, in the sense that all algebraic systems reduce to such geometric constraints. Detecting incidence dependences between these geometric constraints is NP-complete. New methods to prove incidence theorems are proposed, which use strictly no computer algebra but only combinatorial arguments.

Discrete mathematicsIncidence geometryApplied MathematicsCombinatorial proofSymbolic computationTheoretical Computer ScienceAlgebraComputational MathematicsComputational Theory and MathematicsGeometry and TopologyProjective planeAlgebraic numberIncidence (geometry)MathematicsProjective geometryInternational Journal of Computational Geometry & Applications
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"Table 2" of "A measurement of alpha(s) from the scaling violation in e+ e- annihilation."

1996

alpha_s was evaluated from the scaling violation of the fragmentation func tions. The data from other experiments are used for the fitting procedure.

E+ E- --> DQBAR DQHigh Energy Physics::PhenomenologyE+ E- --> CQBAR CQE+ E- --> BQBAR BQE+ E- --> UQBAR UQALPHASE+ E- --> CHARGED-HADRON XInclusiveE+ E- --> SQBAR SQE+ E- ScatteringComputer Science::General LiteratureExclusiveComputer Science::Symbolic ComputationHigh Energy Physics::Experiment29.0
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"Table 4" of "Inclusive production of neutral vector mesons in hadronic Z decays"

1995

Average multiplicity per hadronic event. Extrapolation to the full X range.

E+ E- --> OMEGA XInclusiveHigh Energy Physics::LatticeE+ E- ScatteringHigh Energy Physics::ExperimentComputer Science::Symbolic Computation91.2Nuclear ExperimentComputer Science::Distributed Parallel and Cluster ComputingMULT
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RationalizeRoots: Software Package for the Rationalization of Square Roots

2019

The computation of Feynman integrals often involves square roots. One way to obtain a solution in terms of multiple polylogarithms is to rationalize these square roots by a suitable variable change. We present a program that can be used to find such transformations. After an introduction to the theoretical background, we explain in detail how to use the program in practice.

FOS: Computer and information sciencesComputer Science - Symbolic ComputationHigh Energy Physics - TheoryHigh energy particleFeynman integralComputationGeneral Physics and AstronomyFOS: Physical sciencesengineering.materialSymbolic Computation (cs.SC)Rationalization (economics)01 natural sciences010305 fluids & plasmasHigh Energy Physics - Phenomenology (hep-ph)Square root0103 physical sciencesComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONAlgebraic number010306 general physicsMathematical PhysicsVariable (mathematics)MapleMathematical Physics (math-ph)AlgebraHigh Energy Physics - PhenomenologyHigh Energy Physics - Theory (hep-th)Hardware and ArchitectureengineeringComputer Science - Mathematical SoftwareMathematical Software (cs.MS)
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