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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)
Regression and Classification Tools
Tools for linear, nonlinear and nonparametric regression and classification. Novel graphical methods for assessment of parametric models using nonparametric methods. One vs. All and All vs. All multiclass classification, optional class probabilities adjustment. Nonparametric regression (k-NN) for general dimension, local-linear option. Nonlinear regression with Eickert-White method for dealing with heteroscedasticity. Utilities for converting time series to rectangular form. Utilities for conversion between factors and indicator variables. Some code related to "Statistical Regression and Classification: from Linear Models to Machine Learning", N. Matloff, 2017, CRC, ISBN 9781498710916.
Efficient Evaluation of Quadratic Forms
A range of quadratic forms are evaluated, using efficient methods. Unnecessary transposes are not performed. Complex values are handled consistently.
Knot Diagrams using Bezier Curves
Makes visually pleasing diagrams of knot projections using optimized Bezier curves.
A Multivariate Emulator
A multivariate generalization of the emulator package.
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
How to Add Two Tables
Methods to "add" two tables; also an alternative
interpretation of named vectors as generalized tables, so that
c(a=1,b=2,c=3) + c(b=3,a=-1) will return c(b=5,c=3). Uses
'disordR' discipline (Hankin, 2022,
Ecological Drift under the UNTB
Hubbell's Unified Neutral Theory of Biodiversity.
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 in publications please use Hankin (2023)
Multivariate Polynomials
Various utilities to manipulate multivariate polynomials. The package is almost completely superceded by the 'spray' and 'mvp' packages, which are much more efficient.