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A Multivariate Emulator
A multivariate generalization of the emulator package.
A Suite of Routines for Working with Jordan Algebras
A Jordan algebra is an algebraic object originally
designed to study observables in quantum mechanics. Jordan
algebras are commutative but non-associative; they satisfy the
Jordan identity. The package follows the ideas and notation of
K. McCrimmon (2004, ISBN:0-387-95447-3) "A Taste of Jordan
Algebras". To cite the package in publications, please use
Hankin (2023)
Knot Diagrams using Bezier Curves
Makes visually pleasing diagrams of knot projections using optimized Bezier curves.
The Free Group
The free group in R; juxtaposition is represented by a
plus. Includes inversion, multiplication by a scalar,
group-theoretic power operation, and Tietze forms. To cite the
package in publications please use Hankin (2022)
The Multiplicative Multinomial Distribution
Various utilities for the Multiplicative Multinomial distribution.
The Lorentz Transformation in Relativistic Physics
The Lorentz transformation in special relativity; also the gyrogroup structure of three-velocities. Performs active and passive transformations and has the ability to use units in which the speed of light is not unity. Includes some experimental functionality for celerity and rapidity. For general relativity, see the 'schwarzschild' package.
Electrical Properties of Resistor Networks
Electrical properties of resistor networks using matrix methods.
The Complex Multivariate Gaussian Distribution
Various utilities for the complex multivariate Gaussian distribution and complex Gaussian processes.
The Weyl Algebra
A suite of routines for Weyl algebras. Notation follows
Coutinho (1995, ISBN 0-521-55119-6, "A Primer of Algebraic
D-Modules"). Uses 'disordR' discipline
(Hankin 2022
Manipulate Virtual Functions
If f <- function(x){x^2} and g <- function(x){x+1} it is a constant source of annoyance that "f+g" is not defined. Package 'vfunc' allows you to do this, and we have (f+g)(2) returning 5. The other arithmetic operators are similarly implemented. A wide class of coding bugs is eliminated.