The Symmetric Group: Permutations of a Finite Set
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Documentation for package ‘permutations’ version 1.1-5
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A C D E F G H I J L M N O P R S T V W misc
| permutations-package | The Symmetric Group: Permutations of a Finite Set |
-- A --
| addcols | Gets or sets the size of a permutation |
| allcyc | All permutations with given characteristics |
| allcycles | All permutations with given characteristics |
| allcycn | All permutations with given characteristics |
| allperms | All permutations with given characteristics |
| allpermslike | All permutations with given characteristics |
| all_cyclic_shuffles | All permutations with given characteristics |
| all_perms_shape | All permutations with given characteristics |
| are_conjugate | Are two permutations conjugate? |
| are_conjugate_single | Are two permutations conjugate? |
| as.character.cycle | Print methods for permutation objects |
| as.character_cyclist | Print methods for permutation objects |
| as.cycle | Functions to create and coerce word objects and cycle objects |
| as.function.cycle | Coerce a permutation to a function |
| as.function.permutation | Coerce a permutation to a function |
| as.function.word | Coerce a permutation to a function |
| as.matrix | Functions to create and coerce word objects and cycle objects |
| as.matrix.word | Functions to create and coerce word objects and cycle objects |
| as.perm_matrix | Permutation matrices |
| as.word | Functions to create and coerce word objects and cycle objects |
-- C --
| c | Concatenation of permutations |
| c.cycle | Concatenation of permutations |
| c.word | Concatenation of permutations |
| capply | Apply functions to elements of a cycle |
| Cayley | Cayley tables for permutation groups |
| cayley | Cayley tables for permutation groups |
| ccps | Arithmetic Ops Group Methods for permutations |
| char2cycle | Functions to create and coerce word objects and cycle objects |
| char2cyclist_single | details of cyclists |
| commutator | Group-theoretic commutator: the dot object |
| conjugate | Are two permutations conjugate? |
| conjugation | Arithmetic Ops Group Methods for permutations |
| cycle | Functions to create and coerce word objects and cycle objects |
| cycle2word | Functions to create and coerce word objects and cycle objects |
| cycletype | Shape of a permutation |
| cycle_plus_integer_elementwise | Arithmetic Ops Group Methods for permutations |
| cycle_power | Arithmetic Ops Group Methods for permutations |
| cycle_power_single | Arithmetic Ops Group Methods for permutations |
| cycle_sum | Arithmetic Ops Group Methods for permutations |
| cycle_sum_single | Arithmetic Ops Group Methods for permutations |
| cycle_type | Shape of a permutation |
| cyclist | details of cyclists |
| cyclist2word_single | details of cyclists |
| cyclist_valid | Functions to validate permutations |
| cyc_len | Functions to create and coerce word objects and cycle objects |
-- D --
| DB | megaminx |
| derangement | Tests for a permutation being a derangement |
| DG | megaminx |
| dodecahedron | The dodecahedron group |
| dodecahedron_edge | The dodecahedron group |
| dodecahedron_face | The dodecahedron group |
| dot | Group-theoretic commutator: the dot object |
| dot-class | Group-theoretic commutator: the dot object |
| dot_error | Group-theoretic commutator: the dot object |
| DY | megaminx |
-- E --
| extract | Group-theoretic commutator: the dot object |
-- F --
| faro | Faro shuffles |
| faro_gen | Faro shuffles |
| fbin | The fundamental bijection |
| fbin_inv | The fundamental bijection |
| fbin_single | The fundamental bijection |
| fixed | Fixed elements |
| fixed.cycle | Fixed elements |
| fixed.word | Fixed elements |
| full_dodecahedron_edge | The dodecahedron group |
| full_dodecahedron_face | The dodecahedron group |
-- G --
| get1 | Retrieve particular cycles or components of cycles |
| get_cyc | Retrieve particular cycles or components of cycles |
| Gy | megaminx |
-- H --
| helper | Arithmetic Ops Group Methods for permutations |
-- I --
| id | The identity permutation |
| inverse | Inverse of a permutation |
| inverse.cycle | Inverse of a permutation |
| inverse.word | Inverse of a permutation |
| inverse_cyclist_single | Inverse of a permutation |
| inverse_word_single | Inverse of a permutation |
| is.cycle | Functions to create and coerce word objects and cycle objects |
| is.derangement | Tests for a permutation being a derangement |
| is.even | Sign of a permutation |
| is.id | The identity permutation |
| is.id.cycle | The identity permutation |
| is.id.list | The identity permutation |
| is.id.word | The identity permutation |
| is.id_single_cycle | The identity permutation |
| is.odd | Sign of a permutation |
| is.permutation | Functions to create and coerce word objects and cycle objects |
| is.perm_matrix | Permutation matrices |
| is.word | Functions to create and coerce word objects and cycle objects |
-- J --
| jacobi | Group-theoretic commutator: the dot object |
-- L --
| LB | megaminx |
| length.permutation | Various vector-like utilities for permutation objects. |
| length.word | Various vector-like utilities for permutation objects. |
| length<-.permutation | Various vector-like utilities for permutation objects. |
| LG | megaminx |
| LY | megaminx |
-- M --
| megaminx | megaminx |
| megaminx_colours | megaminx |
| megaminx_pentagons | Plotting routine for megaminx sequences |
| megaminx_plotter | Plotting routine for megaminx sequences |
| megaminx_quads | Plotting routine for megaminx sequences |
| megaminx_triangles | Plotting routine for megaminx sequences |
-- N --
| names | Various vector-like utilities for permutation objects. |
| names.word | Various vector-like utilities for permutation objects. |
| names<-.word | Various vector-like utilities for permutation objects. |
| nicify | details of cyclists |
| nicify_cyclist | details of cyclists |
| nullcycle | Null permutations |
| nullperm | Null permutations |
| nullword | Null permutations |
-- O --
| O | megaminx |
| Ops | Arithmetic Ops Group Methods for permutations |
| Ops.permutation | Arithmetic Ops Group Methods for permutations |
| Ops.permutations | Arithmetic Ops Group Methods for permutations |
| orbit | Orbits of integers |
| orbit_single | Orbits of integers |
| outer | Outer product of vectors of permutations |
| outer-method | Outer product of vectors of permutations |
| outer.cycle | Outer product of vectors of permutations |
| outer.permutation | Outer product of vectors of permutations |
| outer.word | Outer product of vectors of permutations |
-- P --
| padshape | Shape of a permutation |
| permmatrix | Permutation matrices |
| permorder | The order of a permutation |
| permprod | Arithmetic Ops Group Methods for permutations |
| permutation | Functions to create and coerce word objects and cycle objects |
| permutation-class | Group-theoretic commutator: the dot object |
| permutations | The Symmetric Group: Permutations of a Finite Set |
| permutation_matrix | Permutation matrices |
| perm_matrix | Permutation matrices |
| Pi | megaminx |
| pm_to_perm | Permutation matrices |
| print.cycle | Print methods for permutation objects |
| print.permutation | Print methods for permutation objects |
| print.word | Print methods for permutation objects |
| print_cycle | Print methods for permutation objects |
| print_word | Print methods for permutation objects |
| print_word_as_cycle | Print methods for permutation objects |
| Pu | megaminx |
-- R --
| R | megaminx |
| r1cyc | Random permutations |
| rcyc | Random permutations |
| rcycle | Random permutations |
| remove_length_one | details of cyclists |
| rep.permutation | Concatenation of permutations |
| rgivenshape | Random permutations |
| rgs1 | Random permutations |
| riffle | Faro shuffles |
| rperm | Random permutations |
| rword | Random permutations |
-- S --
| sgn | Sign of a permutation |
| shape | Shape of a permutation |
| shapepart | Shape of a permutation |
| shapepart_cyclist | Shape of a permutation |
| shape_cyclist | Shape of a permutation |
| shift_cycle | Functions to create and coerce word objects and cycle objects |
| shuffle | Faro shuffles |
| singleword_valid | Functions to validate permutations |
| size | Gets or sets the size of a permutation |
| size.cycle | Gets or sets the size of a permutation |
| size.word | Gets or sets the size of a permutation |
| size<- | Gets or sets the size of a permutation |
| size<-.cycle | Gets or sets the size of a permutation |
| size<-.word | Gets or sets the size of a permutation |
| some_perms_shape | All permutations with given characteristics |
| standard | The fundamental bijection |
| standard_cyclist | The fundamental bijection |
| superflip | megaminx |
-- T --
| tidy | Utilities to neaten permutation objects |
| trim | Utilities to neaten permutation objects |
-- V --
| valid | Functions to validate permutations |
| validity | Functions to validate permutations |
| vec2cyclist_single | details of cyclists |
| vec2cyclist_single_cpp | details of cyclists |
| vps | Arithmetic Ops Group Methods for permutations |
-- W --
| W | megaminx |
| word | Functions to create and coerce word objects and cycle objects |
| word_equal | Arithmetic Ops Group Methods for permutations |
| word_prod | Arithmetic Ops Group Methods for permutations |
| word_prod_single | Arithmetic Ops Group Methods for permutations |
-- misc --
| %~% | Are two permutations conjugate? |
| %~%.permutation | Are two permutations conjugate? |
| . | Group-theoretic commutator: the dot object |
| [-method | Group-theoretic commutator: the dot object |
| [.dot | Group-theoretic commutator: the dot object |