Package: freealg 1.1-8

freealg: The Free Algebra

The free algebra in R with non-commuting indeterminates. Uses 'disordR' discipline (Hankin, 2022, <doi:10.48550/ARXIV.2210.03856>). To cite the package in publications please use Hankin (2022) <doi:10.48550/ARXIV.2211.04002>.

Authors:Robin K. S. Hankin [aut, cre]

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freealg.pdf |freealg.html
freealg/json (API)
NEWS

# Install 'freealg' in R:
install.packages('freealg', repos = c('https://robinhankin.r-universe.dev', 'https://cloud.r-project.org'))

Peer review:

Bug tracker:https://github.com/robinhankin/freealg/issues

Uses libs:
  • c++– GNU Standard C++ Library v3
Datasets:
  • . - Class "dot"

On CRAN:

60 exports 3 stars 3.13 score 12 dependencies 10 dependents 864 downloads

Last updated 9 days agofrom:7222ea0bd7. Checks:OK: 9. Indexed: yes.

TargetResultDate
Doc / VignettesOKSep 10 2024
R-4.5-win-x86_64OKSep 10 2024
R-4.5-linux-x86_64OKSep 10 2024
R-4.4-win-x86_64OKSep 10 2024
R-4.4-mac-x86_64OKSep 10 2024
R-4.4-mac-aarch64OKSep 10 2024
R-4.3-win-x86_64OKSep 10 2024
R-4.3-mac-x86_64OKSep 10 2024
R-4.3-mac-aarch64OKSep 10 2024

Exports:abelianizeadall_posas.freealgchar_to_freealgcoeffscoeffs<-coeffs<-.freealgconstantconstant.freealgconstant.numericconstant<-constant<-.freealgdegderivderiv.freealgdot_errordropfree_eq_freefree_negativefree_plus_freefree_plus_numericfree_power_scalarfree_times_freefree_times_scalarfreealggradegrade<-gradeshornerinvis_ok_freeis.constantis.freealgis.zerojacobikeep_poslapplylinearlowlevel_diffnlowlevel_free_powerlowlevel_free_prodlowlevel_free_sumlowlevel_simplifylowlevel_subsnatural_char_to_freealgntermsnumeric_to_freeOps.freealgpepperprint.freealgrfalgrfalggrfalgggsortstring_to_freealgsubssubsuvector_to_freewords

Dependencies:digestdisordRgmplatticemathjaxrMatrixpartitionspolynomrbibutilsRcppRdpacksets

adjoint

Rendered fromadjoint.Rnwusingutils::Sweaveon Sep 10 2024.

Last update: 2023-12-24
Started: 2022-01-09

The free algebra with R

Rendered fromfreealg.Rmdusingknitr::rmarkdownon Sep 10 2024.

Last update: 2024-03-07
Started: 2019-09-12

Readme and manuals

Help Manual

Help pageTopics
The Free Algebrafreealg-package
Abelianize a 'freealg' objectabelianize
Accessor methods for freealg objectsaccessor accessors coefficients coeffs coeffs<- coeffs<-.freealg words [.freealg [<-.freealg
The adjoint mapad adjoint
The constant termconstant constant.freealg constant.numeric constant<- constant<-.freealg is.constant
Differentiation of 'freealg' objectsaderiv deriv deriv.freealg deriv_freealg
Class "dot". commutator dot dot-class dot_error jacobi [,dot,ANY,ANY,ANY-method [,dot,ANY,ANY-method [,dot,ANY,missing,ANY-method [,dot,ANY,missing-method [,dot,function,function,ANY-method [,dot,function,function-method [,dot,matrix,matrix,ANY-method [,dot,matrix,matrix-method [,dot,missing,ANY,ANY-method [,dot,missing,ANY-method [,dot,missing,missing,ANY-method [,dot,missing,missing-method [,dot-method [.dot
Drop redundant informationdrop drop,freealg-method
The free algebraas.freealg char_to_freealg freealg is.freealg is_ok_free natural_char_to_freealg numeric_to_free string_to_freealg vector_to_free
Class "freealg"freealg-class
The grade (or degree) of terms in a 'freealg' objectdeg degree degrees grade grade<- grades
Horner's methodhorner
Inversesall_pos inverse keep_pos
Single-letter symbolsletters lettersymbols
A simple free algebra objectlinear
Number of terms in a freealg objectlength nterms
Arithmetic Ops methods for the the free algebrafreealg_negative free_equal_free free_eq_free free_negative free_plus_free free_plus_numeric free_power_scalar free_times_free free_times_scalar inv lowlevel_deriv lowlevel_diff lowlevel_diffn lowlevel_free_power lowlevel_free_prod lowlevel_free_sum lowlevel_simplify lowlevel_subs ops Ops.freealg
Combine variables in every possible orderpepper
Print freealg objectsprint.freealg
Random free algebra objectsrfalg rfalgg rfalggg rfree rfreealg
Substitutionnamechanger subs substitute subsu
The zero algebraic objectis.zero zero