VisibleList -- the class of all visible lists

Description

There are three types of lists that can be entered directly from the keyboard, as follows.

i1 : {a,b,c}

o1 = {a, b, c}

o1 : List

i2 : [a,b,c]

o2 = [a, b, c]

o2 : Array

i3 : (a,b,c)

o3 = (a, b, c)

o3 : Sequence

We introduce the class of visible lists as a convenience for referring to lists of these types.

Types of visible list:

AngleBarList -- the class of lists delimited by <| ... |>
Array -- the class of all arrays -- [...]
List -- the class of all lists -- {...}
Sequence -- the class of all sequences -- (...)

Functions and methods returning a visible list:

accumulate(Function,Thing,VisibleList) -- see accumulate -- apply a binary operator repeatedly
accumulate(Function,VisibleList) -- see accumulate -- apply a binary operator repeatedly
accumulate(VisibleList,Function) -- see accumulate -- apply a binary operator repeatedly
accumulate(VisibleList,Thing,Function) -- see accumulate -- apply a binary operator repeatedly
flatten(VisibleList) -- see flatten -- flatten a nested list or a matrix
inversePermutation(VisibleList) -- see inversePermutation -- inverse permutation
permutations(VisibleList) -- see permutations -- produce all permutations of a list
uniquePermutations(VisibleList) -- see uniquePermutations -- produce all unique permutations of a list
Command \ VisibleList -- see VisibleList / Function -- apply a function to elements of a list
Function \ VisibleList -- see VisibleList / Function -- apply a function to elements of a list
RingMap \ VisibleList -- see VisibleList / Function -- apply a function to elements of a list
VisibleList / Command -- see VisibleList / Function -- apply a function to elements of a list
VisibleList / Function -- apply a function to elements of a list
VisibleList / RingMap -- see VisibleList / Function -- apply a function to elements of a list
Command \\ Thing -- see VisibleList // Function -- apply a function
Function \\ Thing -- see VisibleList // Function -- apply a function
Thing // Command -- see VisibleList // Function -- apply a function
Thing // Function -- see VisibleList // Function -- apply a function
VisibleList // Command -- see VisibleList // Function -- apply a function
VisibleList // Function -- apply a function
VisibleList _ List -- get some entries of a list

Methods that use a visible list:

between(Thing,VisibleList) -- see between -- insert something between elements of a list
commonest(VisibleList) -- see commonest -- the most common elements of a list or tally
EXAMPLE(VisibleList) -- see EXAMPLE -- construct a hypertext item from a Macaulay2 input string
fold(Function,VisibleList) -- see fold -- apply a binary operator repeatedly
fold(VisibleList,Function) -- see fold -- apply a binary operator repeatedly
fold(VisibleList,Thing,Function) -- see fold -- apply a binary operator repeatedly
isMember(Thing,VisibleList) -- see isMember -- test membership in a list or set
isSorted(VisibleList) -- see isSorted -- whether a list is sorted
isSubset(Set,VisibleList) -- see isSubset(Set,Set) -- whether one object is a subset of another
isSubset(VisibleList,Set) -- see isSubset(Set,Set) -- whether one object is a subset of another
isSubset(VisibleList,VisibleList) -- see isSubset(Set,Set) -- whether one object is a subset of another
iterator(VisibleList) -- see iterator -- get an iterator
length(VisibleList) -- length of a visible list
max(VisibleList) -- see max -- get the maximum element in a list or sequence
min(VisibleList) -- see min -- get the minimum element in a list or sequence
netList(VisibleList) -- see netList -- a table of boxes
numeric(VisibleList) -- see numeric -- convert to floating point
numeric(ZZ,VisibleList) -- see numeric -- convert to floating point
part(InfiniteNumber,InfiniteNumber,VisibleList,RingElement) -- see part -- select terms of a polynomial by degree(s) or weight(s)
part(InfiniteNumber,ZZ,VisibleList,RingElement) -- see part -- select terms of a polynomial by degree(s) or weight(s)
part(Nothing,Nothing,VisibleList,RingElement) -- see part -- select terms of a polynomial by degree(s) or weight(s)
part(Nothing,ZZ,VisibleList,RingElement) -- see part -- select terms of a polynomial by degree(s) or weight(s)
part(ZZ,InfiniteNumber,VisibleList,RingElement) -- see part -- select terms of a polynomial by degree(s) or weight(s)
part(ZZ,Nothing,VisibleList,RingElement) -- see part -- select terms of a polynomial by degree(s) or weight(s)
part(ZZ,VisibleList,RingElement) -- see part -- select terms of a polynomial by degree(s) or weight(s)
part(ZZ,ZZ,VisibleList,RingElement) -- see part -- select terms of a polynomial by degree(s) or weight(s)
partition(Function,VirtualTally,VisibleList) -- see partition -- partition a set or list by values of a function
partition(Function,VisibleList) -- see partition -- partition a set or list by values of a function
partition(Function,VisibleList,VisibleList) -- see partition -- partition a set or list by values of a function
position(VisibleList,Function) -- see position -- the first element of a list satisfying a condition
position(VisibleList,VisibleList,Function) -- see position -- the first element of a list satisfying a condition
positions(VisibleList,Function) -- see positions -- which elements of a list satisfy a condition
product(VisibleList,Function) -- product of values of a function
product(VisibleList,VisibleList,Function) -- product of results of applying a function pairwise
randomSubset(VisibleList) -- see randomSubset
randomSubset(VisibleList,ZZ) -- see randomSubset
rotate(ZZ,VisibleList) -- see rotate -- rotate a list
runLengthEncode(VisibleList) -- see runLengthEncode -- run length encoding
Schubert(ZZ,ZZ,VisibleList) -- see Schubert -- compute the Plücker ideal of a Schubert variety
set(VisibleList) -- see set -- make a set
sublists(VisibleList,Function) -- see sublists -- process interspersed subsequences of a visible list
sublists(VisibleList,Function,Function) -- see sublists -- process interspersed subsequences of a visible list
sublists(VisibleList,Function,Function,Function) -- see sublists -- process interspersed subsequences of a visible list
sublists(VisibleList,Function,Function,Nothing) -- see sublists -- process interspersed subsequences of a visible list
sublists(VisibleList,Function,Nothing) -- see sublists -- process interspersed subsequences of a visible list
sublists(VisibleList,Function,Nothing,Function) -- see sublists -- process interspersed subsequences of a visible list
sublists(VisibleList,Function,Nothing,Nothing) -- see sublists -- process interspersed subsequences of a visible list
submatrix(Matrix,VisibleList,VisibleList) -- see submatrix -- select part of a matrix
submatrix(MutableMatrix,VisibleList,VisibleList) -- see submatrix -- select part of a matrix
submatrix'(Matrix,Nothing,VisibleList) -- see submatrix' -- exclude rows and/or columns of a matrix
submatrix'(Matrix,VisibleList) -- see submatrix' -- exclude rows and/or columns of a matrix
submatrix'(Matrix,VisibleList,Nothing) -- see submatrix' -- exclude rows and/or columns of a matrix
submatrix'(Matrix,VisibleList,VisibleList) -- see submatrix' -- exclude rows and/or columns of a matrix
submatrix(Matrix,VisibleList) -- select columns
submatrix(MutableMatrix,VisibleList) -- see submatrix(Matrix,VisibleList) -- select columns
sum(VisibleList,Function) -- sum results of applying a function
sum(VisibleList,VisibleList,Function) -- sum results of applying a function pairwise
tally(VisibleList) -- see tally -- tally the elements of a list, sequence, array, or string
unique(VisibleList) -- see unique -- eliminate duplicates from a list
SelfInitializingType \ VisibleList -- see VisibleList / Function -- apply a function to elements of a list
VisibleList / SelfInitializingType -- see VisibleList / Function -- apply a function to elements of a list
VisibleList _ ZZ -- get element from list

For the programmer

The object VisibleList is a type, with ancestor classes BasicList < Thing.