[AB=(\alpha x^2yx + \beta zy)(-\beta zy + \gamma y^4) | [BA=(-\beta zy + \gamma y^4)(\alpha x^2yx + \beta zy) | The freealg package in use | Experimental functionality | References
Package: freealg 1.2-2
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:
freealg_1.2-2.tar.gz
freealg_1.2-2.zip(r-4.7)freealg_1.2-2.zip(r-4.6)freealg_1.2-2.zip(r-4.5)
freealg_1.2-2.tgz(r-4.6-x86_64)freealg_1.2-2.tgz(r-4.6-arm64)freealg_1.2-2.tgz(r-4.5-x86_64)freealg_1.2-2.tgz(r-4.5-arm64)
freealg_1.2-2.tar.gz(r-4.7-arm64)freealg_1.2-2.tar.gz(r-4.7-x86_64)freealg_1.2-2.tar.gz(r-4.6-arm64)freealg_1.2-2.tar.gz(r-4.6-x86_64)
freealg_1.2-2.tgz(r-4.6-emscripten)
manual.pdf |manual.html✨
DESCRIPTION |NEWS
card.svg |card.png
freealg/json (API)
| # Install 'freealg' in R: |
| install.packages('freealg', repos = c('https://robinhankin.r-universe.dev', 'https://cloud.r-project.org')) |
Bug tracker:https://github.com/robinhankin/freealg/issues
Pkgdown/docs site:https://robinhankin.github.io
Datasets:
- . - Class "dot"
Last updated from:abd93db17c. Checks:13 OK. Indexed: yes.
| Target | Result | Time | Files | Syslog |
|---|---|---|---|---|
| linux-devel-arm64 | OK | 191 | ||
| linux-devel-x86_64 | OK | 192 | ||
| source / vignettes | OK | 262 | ||
| linux-release-arm64 | OK | 230 | ||
| linux-release-x86_64 | OK | 241 | ||
| macos-release-arm64 | OK | 151 | ||
| macos-release-x86_64 | OK | 249 | ||
| macos-oldrel-arm64 | OK | 101 | ||
| macos-oldrel-x86_64 | OK | 339 | ||
| windows-devel | OK | 180 | ||
| windows-release | OK | 149 | ||
| windows-oldrel | OK | 212 | ||
| wasm-release | OK | 159 |
Exports:abelianizeadall_posas.freealgchar_to_freealgcoeffscoeffs<-constantconstant<-degderivdot_errordropfree_eq_freefree_negativefree_plus_freefree_plus_numericfree_power_freefree_power_scalarfree_times_freefree_times_scalarfreealggradegrade<-gradeshornerinvis_ok_freeis.constantis.freealgis.zerojacobikeep_poslinearnatural_char_to_freealgntermsnumeric_to_freepepperrfalgrfalggrfalgggstring_to_freealgsubssubsuvector_to_freewords
Dependencies:digestdisordRgmplatticeMatrixpartitionspolynomrbibutilsRcppRdpacksets
Readme and manuals
Help Manual
| Help page | Topics |
|---|---|
| The Free Algebra | freealg-package |
| Abelianize a 'freealg' object | abelianize |
| Accessor methods for freealg objects | accessor accessors coefficients coeffs coeffs<- coeffs<-.freealg words [.freealg [<-.freealg |
| The adjoint map | ad adjoint |
| The constant term | constant constant.freealg constant.numeric constant<- constant<-.freealg is.constant |
| Differentiation of 'freealg' objects | aderiv 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 information | drop drop,freealg-method |
| The free algebra | as.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' object | deg degree degrees grade grade<- grades |
| Horner's method | horner |
| Inverses | all_pos inverse keep_pos |
| Single-letter symbols | letters lettersymbols |
| Simple free algebra objects | linear |
| Number of terms in a freealg object | length nterms |
| Arithmetic Ops methods for the the free algebra | freealg_negative free_equal_free free_eq_free free_negative free_plus_free free_plus_numeric free_power_free 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 order | pepper |
| Print freealg objects | print.freealg |
| Random free algebra objects | rfalg rfalgg rfalggg rfree rfreealg |
| Substitution | namechanger subs substitute subsu |
| The zero algebraic object | is.zero zero |
