class BRAID


Ancestors
WORD



Public


Readable Attributes
attr index:CARD;
attr w:ARRAY{INT}; .. Included as w

Writable Attributes
attr index:CARD;
attr w:ARRAY{INT}; .. Included as w

Features
aget(i:CARD):INT .. Included as aget
append(b:SAME)
append(b:SAME):SAME
append(s:INT)
append(s:INT):SAME
aset(i:CARD, g:INT) .. Included as aset
cancel:SAME .. Included as cancel
check:BOOL
clone:SAME
create(ind:CARD):SAME
create(s:STR):SAME
**** convert STR to BRAID. format: " 4 : 2 -1 3 -2 -3 2 1 endcode"
______index^___^^^^^^^^^^^^^^^^braid_word
create:SAME
delete(pos:CARD) .. Included as delete
delete(pos:CARD):SAME .. Included as delete
div(b:SAME):SAME .. Included as div
div(s:INT):SAME .. Included as div
gstr(g:INT, b:INT):STR .. Included as gstr
**** b: base for coverings
gstr(g:INT,b:INT, s1,s2:STR):STR .. Included as gstr
**** b: base for coverings s1(s2 resp.) is pre(post resp.) str for generator name "g".
insert(pos:CARD,b:SAME):SAME
insert(pos:CARD, s:INT)
insert(pos:CARD, s:INT):SAME
inverse:SAME
**** inverse as group
is_PureBraid:BOOL
maxGen:CARD .. Included as maxGen
**** m= max index of generator
maxIndexInWord:INT
**** m= max index of generator +1. i.e. word \in B_m
perm:PERM
**** get permutation [1..index]
pow(n:CARD):SAME .. Included as pow
pow(n:INT):SAME .. Included as pow
printD
**** print for debug/check
reverse:SAME
**** reverse order of elements
size:CARD .. Included as size
str:STR
**** convert BRAID to STR
times(b:SAME):SAME .. Included as times
times(s:INT):SAME .. Included as times
total_negative_power:INT .. Included as total_negative_power
total_positive_power:INT .. Included as total_positive_power
total_power:INT .. Included as total_power
trackString(s:INT):INT
append(b:SAME) .. Included as word_append
append(b:SAME):SAME .. Included as word_append
append(s:INT) .. Included as word_append
append(s:INT):SAME .. Included as word_append
check:BOOL .. Included as word_check
clone:SAME .. Included as word_clone
create(s:STR):SAME .. Included as word_create
**** convert STR to WORD. format: "2 -1 3 -2 -3 2 1"
__________^^^^^^^^^^^^^^^^word
create:SAME .. Included as word_create
insert(pos:CARD,b:SAME):SAME .. Included as word_insert
insert(pos:CARD, s:INT) .. Included as word_insert
insert(pos:CARD, s:INT):SAME .. Included as word_insert
inverse:SAME .. Included as word_inverse
**** inverse as group
printD .. Included as word_printD
**** print for debug/check
reverse:SAME .. Included as word_reverse
**** reverse order of elements
str:STR .. Included as word_str
**** convert WORD to STR as a sequence of number "\n" can be included. format: "1 2 3 -2 -1 -2 "
wstr(s1,s2:STR):STR .. Included as wstr
**** convert WORD to STR s1(s2 resp.) is pre(post resp.) str for generator name "g".
wstr:STR .. Included as wstr
**** convert WORD to STR in TeX like format as "x_{1} x_{2} x_{1}^{-1} x_{2}^{-1} "

Iters
ind!:CARD .. Included as ind!

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