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ExampleSystems :: ExampleSystems

ExampleSystems -- examples of polynomial systems

Description

This package is a database for examples of polynomial systems in Macaulay2, including standard systems of interest in various applications, such as engineering, chemistry, robotics, and economics.

References:

Authors

Version

This documentation describes version 0.5 of ExampleSystems.

Source code

The source code from which this documentation is derived is in the file ExampleSystems.m2. The auxiliary files accompanying it are in the directory ExampleSystems/.

Exports

  • Functions and commands
    • bellido -- Bellido system
    • boon -- a neurophysiology problem posted by Sjirk Boon
    • butcher -- Butcher's problem
    • camera1s -- a system for camera displacement between two positions, with scaled first frame.
    • caprasse -- the system caprasse of the PoSSo test suite
    • cassou -- the system of Pierrette Cassou-Nogu`es
    • chemequ -- chemical equilibrium of hydrocarbon combustion
    • cohn3 -- modular equations for special algebraic number fields
    • comb3000s -- a combustion chemistry example for a temparature of 3000 degrees
    • cyclic -- an example of a square polynomial system
    • dipole2 -- Dipole2 system
    • eco8 -- an 8-dimensional economics problem
    • geneig -- generalized eigenvalue problem
    • heart -- an 8-dimensional economics problem
    • ipp -- six-revolute-joint problem of mechanics
    • katsura -- an example of a 0-dimensional square polynomial system
    • ku10 -- a 10-dimensional system of Ku
    • lorentz -- equilibrium points of a 4-dimensional Lorentz attractor
    • lumped -- lumped parameter chemically reacting system
    • noon5 -- A neural network modeled by an adaptive Lotka-Volterra system with 5 variables
    • proddeco -- system with a product-decomposition structure
    • puma -- hand position and orientation of PUMA robot
    • quadgrid -- interpolating quadrature formula for function defined on a grid
    • rabmo -- optimal multi-dimensional quadrature formulas
    • randomGeneralizedEigenvalueProblem -- an example of a 0-dimensional square polynomial system
    • randomSystem -- an example of a 0-dimensional square polynomial system
    • rbpl24s -- parallel robot with 24 real solutions, after variable scaling
    • reimer5 -- 5-dimensional Reimer system
    • rose -- the system Rose, a general economic equilibrium model
    • sendra -- the system sendra
    • trinks -- system of Trinks from the PoSSo test suite
    • virasoro -- the construction of Virasoro algebras
    • wood -- system derived from optimizing the Wood function
    • wright -- system of A.H. Wright