One Hat Cyber Team

Edit File: ___List.html

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 <head>
 <title>List -- the class of all lists -- {...}</title>
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o1 = {a, 1, b, 2}

o1 : List</code></pre>
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The length of a list has two notations, the version with the # is faster when writing programs. <table class="examples">
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 <pre><code class="language-macaulay2">i2 : #L, length L

o2 = (4, 4)

o2 : Sequence</code></pre>
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The first entry of the list has index 0. Indexing is performed using <a title="length or access to elements" href="__sh.html">#</a>. <table class="examples">
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 <pre><code class="language-macaulay2">i3 : L#2

o3 = b

o3 : Symbol</code></pre>
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 Lists in Macaulay2 are immutable. See <a title="the class of all mutable lists" href="___Mutable__List.html">MutableList</a> for making and using lists that you may modify.
 To convert lists to and from other types of <a title="the class of all basic lists" href="___Basic__List.html">BasicList</a>, in addition to <a title="create a list" href="_to__List.html">toList</a>, one may use <a title="new objects and new types" href="_new.html">new</a>.
 <table class="examples">
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 <pre><code class="language-macaulay2">i4 : new Array from {a,b,c}

o4 = [a, b, c]

o4 : Array</code></pre>
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 <pre><code class="language-macaulay2">i5 : new List from [a,b,c]

o5 = {a, b, c}

o5 : List</code></pre>
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 For an overview of lists and sequences, see <a title="a detailed overview of lists and sequences in Macaulay2" href="_lists_spand_spsequences.html">lists and sequences</a>.
 </div>
 <div>
 <h3>Menu</h3>
 <ul>
 <li><a title="a type of visible self-initializing list that prints vertically" href="___Vertical__List.html">VerticalList</a> -- a type of visible self-initializing list that prints vertically</li>
 </ul>
 </div>
 <div>
 <div class="waystouse">
 <h2>Types of list:</h2>
 <ul>
 <li><a title="a type of visible self-initializing list that prints vertically" href="___Vertical__List.html">VerticalList</a> -- a type of visible self-initializing list that prints vertically</li>
 </ul>
 <h2>Functions and methods returning a list:</h2>
 <ul>
 <li><kbd>List * Thing</kbd> -- see <a title="a binary operator, usually used for multiplication" href="__st.html">*</a> -- a binary operator, usually used for multiplication</li>
 <li><kbd>Thing * List</kbd> -- see <a title="a binary operator, usually used for multiplication" href="__st.html">*</a> -- a binary operator, usually used for multiplication</li>
 <li><kbd>- List</kbd> -- see <a title="a unary or binary operator, usually used for negation or subtraction" href="_-.html">-</a> -- a unary or binary operator, usually used for negation or subtraction</li>
 <li><kbd>List // Number</kbd> -- see <a title="a binary operator, usually used for quotient" href="__sl_sl.html">//</a> -- a binary operator, usually used for quotient</li>
 <li><kbd>List // RingElement</kbd> -- see <a title="a binary operator, usually used for quotient" href="__sl_sl.html">//</a> -- a binary operator, usually used for quotient</li>
 <li><a title="apply a function to {0,..., n-1}" href="_apply_lp__Z__Z_cm__Function_rp.html">apply(ZZ,Function)</a> -- apply a function to {0,..., n-1}</li>
 <li><kbd>applyPairs(BasicList,Function)</kbd> -- see <a title="apply a function to each pair in a hash table" href="_apply__Pairs.html">applyPairs</a> -- apply a function to each pair in a hash table</li>
 <li><kbd>applyPairs(Dictionary,Function)</kbd> -- see <a title="apply a function to each pair in a hash table" href="_apply__Pairs.html">applyPairs</a> -- apply a function to each pair in a hash table</li>
 <li><kbd>between(Thing,VisibleList)</kbd> -- see <a title="insert something between elements of a list" href="_between.html">between</a> -- insert something between elements of a list</li>
 <li><a title="the most common elements of a list or tally" href="_commonest.html">commonest</a> -- the most common elements of a list or tally</li>
 <li><a title="list the compositions of an integer" href="_compositions.html">compositions</a> -- list the compositions of an integer</li>
 <li><a title="minimal primes of an ideal" href="../../MinimalPrimes/html/_minimal__Primes.html">decompose(Ideal)</a></li>
 <li>degree(Matrix) (missing documentation)
</li>
 <li><a title="degrees of generators" href="_degrees.html">degrees</a> -- degrees of generators</li>
 <li><kbd>elements(Set)</kbd> -- see <a title="list of elements" href="_elements.html">elements</a> -- list of elements</li>
 <li><a title="find a heft vector for a list of degrees" href="_find__Heft.html">findHeft</a> -- find a heft vector for a list of degrees</li>
 <li><kbd>frames(CompiledFunction)</kbd> -- see <a title="get the frames associated to a closure" href="_frames.html">frames</a> -- get the frames associated to a closure</li>
 <li><kbd>frames(CompiledFunctionClosure)</kbd> -- see <a title="get the frames associated to a closure" href="_frames.html">frames</a> -- get the frames associated to a closure</li>
 <li><kbd>frames(FunctionClosure)</kbd> -- see <a title="get the frames associated to a closure" href="_frames.html">frames</a> -- get the frames associated to a closure</li>
 <li><kbd>frames(PseudocodeClosure)</kbd> -- see <a title="get the frames associated to a closure" href="_frames.html">frames</a> -- get the frames associated to a closure</li>
 <li><kbd>frames(Sequence)</kbd> -- see <a title="get the frames associated to a closure" href="_frames.html">frames</a> -- get the frames associated to a closure</li>
 <li><kbd>frames(Symbol)</kbd> -- see <a title="get the frames associated to a closure" href="_frames.html">frames</a> -- get the frames associated to a closure</li>
 <li><kbd>Monoid _*</kbd> -- see <a href="_generators_spof_springs_cm_spideals_cm_spand_spmodules.html">generators of rings, ideals, and modules</a></li>
 <li><kbd>Function \ Ideal</kbd> -- see <a title="apply a function to generators of an ideal" href="___Ideal_sp_sl_sp__Function.html">Ideal / Function</a> -- apply a function to generators of an ideal</li>
 <li><a title="apply a function to generators of an ideal" href="___Ideal_sp_sl_sp__Function.html">Ideal / Function</a> -- apply a function to generators of an ideal</li>
 <li><kbd>independentSets(Ideal)</kbd> -- see <a title="some size-maximal independent subsets of variables modulo an ideal" href="_independent__Sets.html">independentSets</a> -- some size-maximal independent subsets of variables modulo an ideal</li>
 <li><kbd>independentSets(MonomialIdeal)</kbd> -- see <a title="some size-maximal independent subsets of variables modulo an ideal" href="_independent__Sets.html">independentSets</a> -- some size-maximal independent subsets of variables modulo an ideal</li>
 <li><kbd>keys(Database)</kbd> -- see <a title="keys used in a hash table, dictionary, or database" href="_keys.html">keys</a> -- keys used in a hash table, dictionary, or database</li>
 <li><kbd>keys(Dictionary)</kbd> -- see <a title="keys used in a hash table, dictionary, or database" href="_keys.html">keys</a> -- keys used in a hash table, dictionary, or database</li>
 <li><kbd>keys(HashTable)</kbd> -- see <a title="keys used in a hash table, dictionary, or database" href="_keys.html">keys</a> -- keys used in a hash table, dictionary, or database</li>
 <li><kbd>leadComponent(Matrix)</kbd> -- see <a title="the leading component(s) of a vector or matrix" href="_lead__Component.html">leadComponent</a> -- the leading component(s) of a vector or matrix</li>
 <li><kbd>lines(String)</kbd> -- see <a title="split a string into lines" href="_lines.html">lines</a> -- split a string into lines</li>
 <li><kbd>lines(String,String)</kbd> -- see <a title="split a string into lines" href="_lines.html">lines</a> -- split a string into lines</li>
 <li><a title="Cartesian product of two lists" href="___List_sp_st_st_sp__List.html">List ** List</a> -- Cartesian product of two lists</li>
 <li><a title="sum of two vectors" href="___List_sp_pl_sp__List.html">List + List</a> -- sum of two vectors</li>
 <li><a title="difference of two vectors" href="___List_sp-_sp__List.html">List - List</a> -- difference of two vectors</li>
 <li><a title="join lists, sequences or arrays" href="___List_sp_vb_sp__List.html">List | List</a> -- join lists, sequences or arrays</li>
 <li><kbd>localDictionaries(Dictionary)</kbd> -- see <a title="get local dictionaries" href="_local__Dictionaries.html">localDictionaries</a> -- get local dictionaries</li>
 <li><kbd>localDictionaries(FunctionClosure)</kbd> -- see <a title="get local dictionaries" href="_local__Dictionaries.html">localDictionaries</a> -- get local dictionaries</li>
 <li><kbd>localDictionaries(PseudocodeClosure)</kbd> -- see <a title="get local dictionaries" href="_local__Dictionaries.html">localDictionaries</a> -- get local dictionaries</li>
 <li><kbd>localDictionaries(Symbol)</kbd> -- see <a title="get local dictionaries" href="_local__Dictionaries.html">localDictionaries</a> -- get local dictionaries</li>
 <li>localDictionaries(CompiledFunction) (missing documentation)
</li>
 <li>localDictionaries(CompiledFunctionClosure) (missing documentation)
</li>
 <li>localDictionaries(Sequence) (missing documentation)
</li>
 <li><kbd>locate(List)</kbd> -- see <a title="locate source code" href="_locate.html">locate</a> -- locate source code</li>
 <li><kbd>List / Number</kbd> -- see <a title="scalar division" href="___Matrix_sp_sl_sp__Number.html">Matrix / Number</a> -- scalar division</li>
 <li><kbd>List / RingElement</kbd> -- see <a title="scalar division" href="___Matrix_sp_sl_sp__Number.html">Matrix / Number</a> -- scalar division</li>
 <li><kbd>mingle(BasicList)</kbd> -- see <a title="mingle elements of several lists" href="_mingle.html">mingle</a> -- mingle elements of several lists</li>
 <li><kbd>pack(BasicList,ZZ)</kbd> -- see <a title="pack elements of a list or string into several shorter lists or strings" href="_pack.html">pack</a> -- pack elements of a list or string into several shorter lists or strings</li>
 <li><kbd>pack(String,ZZ)</kbd> -- see <a title="pack elements of a list or string into several shorter lists or strings" href="_pack.html">pack</a> -- pack elements of a list or string into several shorter lists or strings</li>
 <li><kbd>pack(ZZ,BasicList)</kbd> -- see <a title="pack elements of a list or string into several shorter lists or strings" href="_pack.html">pack</a> -- pack elements of a list or string into several shorter lists or strings</li>
 <li><kbd>pack(ZZ,String)</kbd> -- see <a title="pack elements of a list or string into several shorter lists or strings" href="_pack.html">pack</a> -- pack elements of a list or string into several shorter lists or strings</li>
 <li><kbd>pairs(BasicList)</kbd> -- see <a title="list the pairs in a hash table, dictionary, or basic list" href="_pairs.html">pairs</a> -- list the pairs in a hash table, dictionary, or basic list</li>
 <li><kbd>pairs(Dictionary)</kbd> -- see <a title="list the pairs in a hash table, dictionary, or basic list" href="_pairs.html">pairs</a> -- list the pairs in a hash table, dictionary, or basic list</li>
 <li><kbd>pairs(HashTable)</kbd> -- see <a title="list the pairs in a hash table, dictionary, or basic list" href="_pairs.html">pairs</a> -- list the pairs in a hash table, dictionary, or basic list</li>
 <li><a title="list the partitions of an integer" href="_partitions.html">partitions</a> -- list the partitions of an integer</li>
 <li><kbd>permutations(ZZ)</kbd> -- see <a title="produce all permutations of a list" href="_permutations.html">permutations</a> -- produce all permutations of a list</li>
 <li><a title="which elements of a list satisfy a condition" href="_positions.html">positions</a> -- which elements of a list satisfy a condition</li>
 <li><a title="evaluate a regular expression search" href="_regex.html">regex</a> -- evaluate a regular expression search</li>
 <li><a title="search a path for a file" href="_search__Path_lp__List_cm__String_rp.html">searchPath(List,String)</a> -- search a path for a file</li>
 <li><kbd>searchPath(String)</kbd> -- see <a title="search a path for a file" href="_search__Path_lp__List_cm__String_rp.html">searchPath(List,String)</a> -- search a path for a file</li>
 <li><kbd>select(String,String)</kbd> -- see <a title="select and reformat substrings matching a regular expression" href="_select_lp__String_cm__String_cm__String_rp.html">select(String,String,String)</a> -- select and reformat substrings matching a regular expression</li>
 <li><a title="select and reformat substrings matching a regular expression" href="_select_lp__String_cm__String_cm__String_rp.html">select(String,String,String)</a> -- select and reformat substrings matching a regular expression</li>
 <li><a title="select integers" href="_select_lp__Z__Z_cm__Function_rp.html">select(ZZ,Function)</a> -- select integers</li>
 <li><kbd>selectPairs(BasicList,Function)</kbd> -- see <a title="select a part of a hash table by pairs" href="_select__Pairs.html">selectPairs</a> -- select a part of a hash table by pairs</li>
 <li><kbd>selectPairs(ZZ,BasicList,Function)</kbd> -- see <a title="select a part of a hash table by pairs" href="_select__Pairs.html">selectPairs</a> -- select a part of a hash table by pairs</li>
 <li><a title="split a string into substrings using a regular expression" href="_separate.html">separate</a> -- split a string into substrings using a regular expression</li>
 <li><kbd>List - Set</kbd> -- see <a title="set difference" href="___Set_sp-_sp__Set.html">Set - Set</a> -- set difference</li>
 <li><a title="produce the subsets of a set or list" href="_subsets.html">subsets</a> -- produce the subsets of a set or list</li>
 <li><kbd>take(Thing,List)</kbd> -- see <a title="take some elements from a list or sequence" href="_take.html">take</a> -- take some elements from a list or sequence</li>
 <li><kbd>take(Thing,ZZ)</kbd> -- see <a title="take some elements from a list or sequence" href="_take.html">take</a> -- take some elements from a list or sequence</li>
 <li><kbd>toList(BasicList)</kbd> -- see <a title="create a list" href="_to__List.html">toList</a> -- create a list</li>
 <li><kbd>toList(Set)</kbd> -- see <a title="create a list" href="_to__List.html">toList</a> -- create a list</li>
 <li><kbd>toList(String)</kbd> -- see <a title="create a list" href="_to__List.html">toList</a> -- create a list</li>
 <li>toList(Pseudocode) (missing documentation)
</li>
 <li><kbd>transpose(List)</kbd> -- see <a title="transpose a matrix or table" href="_transpose.html">transpose</a> -- transpose a matrix or table</li>
 <li><a title="eliminate duplicates from a list" href="_unique.html">unique</a> -- eliminate duplicates from a list</li>
 <li><kbd>unstack(Net)</kbd> -- see <a title="list the rows of a net" href="_unstack.html">unstack</a> -- list the rows of a net</li>
 <li><kbd>unstack(String)</kbd> -- see <a title="list the rows of a net" href="_unstack.html">unstack</a> -- list the rows of a net</li>
 <li><kbd>values(Dictionary)</kbd> -- see <a title="values in a hash table" href="_values.html">values</a> -- values in a hash table</li>
 <li><kbd>values(HashTable)</kbd> -- see <a title="values in a hash table" href="_values.html">values</a> -- values in a hash table</li>
 <li><kbd>List / Command</kbd> -- see <a title="apply a function to elements of a list" href="___Visible__List_sp_sl_sp__Function.html">VisibleList / Function</a> -- apply a function to elements of a list</li>
 <li><kbd>List / Function</kbd> -- see <a title="apply a function to elements of a list" href="___Visible__List_sp_sl_sp__Function.html">VisibleList / Function</a> -- apply a function to elements of a list</li>
 </ul>
 <h2>Methods that use a list:</h2>
 <ul>
 <li><a title="length or cardinality of a list, hash table, dictionary, set, or string" href="__sh_sp__List.html"># List</a> -- length or cardinality of a list, hash table, dictionary, set, or string</li>
 <li><kbd>List #? ZZ</kbd> -- see <a title="check existence of value in a list, hash table, database, or string" href="__sh_qu.html">#?</a> -- check existence of value in a list, hash table, database, or string</li>
 <li><a href="../../Varieties/html/__gt_eq_sp__Z__Z.html">>= List</a></li>
 <li><kbd>List ? List</kbd> -- see <a title="comparison operator" href="__qu.html">?</a> -- comparison operator</li>
 <li><kbd>basis(InfiniteNumber,List,Ideal)</kbd> -- see <a title="basis or generating set of all or part of a ring, ideal or module" href="_basis.html">basis</a> -- basis or generating set of all or part of a ring, ideal or module</li>
 <li><kbd>basis(InfiniteNumber,List,Matrix)</kbd> -- see <a title="basis or generating set of all or part of a ring, ideal or module" href="_basis.html">basis</a> -- basis or generating set of all or part of a ring, ideal or module</li>
 <li><kbd>basis(InfiniteNumber,List,Module)</kbd> -- see <a title="basis or generating set of all or part of a ring, ideal or module" href="_basis.html">basis</a> -- basis or generating set of all or part of a ring, ideal or module</li>
 <li><kbd>basis(InfiniteNumber,List,Ring)</kbd> -- see <a title="basis or generating set of all or part of a ring, ideal or module" href="_basis.html">basis</a> -- basis or generating set of all or part of a ring, ideal or module</li>
 <li><kbd>basis(List,Ideal)</kbd> -- see <a title="basis or generating set of all or part of a ring, ideal or module" href="_basis.html">basis</a> -- basis or generating set of all or part of a ring, ideal or module</li>
 <li><kbd>basis(List,InfiniteNumber,Ideal)</kbd> -- see <a title="basis or generating set of all or part of a ring, ideal or module" href="_basis.html">basis</a> -- basis or generating set of all or part of a ring, ideal or module</li>
 <li><kbd>basis(List,InfiniteNumber,Matrix)</kbd> -- see <a title="basis or generating set of all or part of a ring, ideal or module" href="_basis.html">basis</a> -- basis or generating set of all or part of a ring, ideal or module</li>
 <li><kbd>basis(List,InfiniteNumber,Module)</kbd> -- see <a title="basis or generating set of all or part of a ring, ideal or module" href="_basis.html">basis</a> -- basis or generating set of all or part of a ring, ideal or module</li>
 <li><kbd>basis(List,InfiniteNumber,Ring)</kbd> -- see <a title="basis or generating set of all or part of a ring, ideal or module" href="_basis.html">basis</a> -- basis or generating set of all or part of a ring, ideal or module</li>
 <li><kbd>basis(List,List,Ideal)</kbd> -- see <a title="basis or generating set of all or part of a ring, ideal or module" href="_basis.html">basis</a> -- basis or generating set of all or part of a ring, ideal or module</li>
 <li><kbd>basis(List,List,Matrix)</kbd> -- see <a title="basis or generating set of all or part of a ring, ideal or module" href="_basis.html">basis</a> -- basis or generating set of all or part of a ring, ideal or module</li>
 <li><kbd>basis(List,List,Module)</kbd> -- see <a title="basis or generating set of all or part of a ring, ideal or module" href="_basis.html">basis</a> -- basis or generating set of all or part of a ring, ideal or module</li>
 <li><kbd>basis(List,List,Ring)</kbd> -- see <a title="basis or generating set of all or part of a ring, ideal or module" href="_basis.html">basis</a> -- basis or generating set of all or part of a ring, ideal or module</li>
 <li><kbd>basis(List,Matrix)</kbd> -- see <a title="basis or generating set of all or part of a ring, ideal or module" href="_basis.html">basis</a> -- basis or generating set of all or part of a ring, ideal or module</li>
 <li><kbd>basis(List,Module)</kbd> -- see <a title="basis or generating set of all or part of a ring, ideal or module" href="_basis.html">basis</a> -- basis or generating set of all or part of a ring, ideal or module</li>
 <li><kbd>basis(List,Ring)</kbd> -- see <a title="basis or generating set of all or part of a ring, ideal or module" href="_basis.html">basis</a> -- basis or generating set of all or part of a ring, ideal or module</li>
 <li><kbd>basis(List,RingMap)</kbd> -- see <a title="basis or generating set of all or part of a ring, ideal or module" href="_basis.html">basis</a> -- basis or generating set of all or part of a ring, ideal or module</li>
 <li><kbd>basis(List,ZZ,Ideal)</kbd> -- see <a title="basis or generating set of all or part of a ring, ideal or module" href="_basis.html">basis</a> -- basis or generating set of all or part of a ring, ideal or module</li>
 <li><kbd>basis(List,ZZ,Matrix)</kbd> -- see <a title="basis or generating set of all or part of a ring, ideal or module" href="_basis.html">basis</a> -- basis or generating set of all or part of a ring, ideal or module</li>
 <li><kbd>basis(List,ZZ,Module)</kbd> -- see <a title="basis or generating set of all or part of a ring, ideal or module" href="_basis.html">basis</a> -- basis or generating set of all or part of a ring, ideal or module</li>
 <li><kbd>basis(List,ZZ,Ring)</kbd> -- see <a title="basis or generating set of all or part of a ring, ideal or module" href="_basis.html">basis</a> -- basis or generating set of all or part of a ring, ideal or module</li>
 <li><kbd>basis(ZZ,List,Ideal)</kbd> -- see <a title="basis or generating set of all or part of a ring, ideal or module" href="_basis.html">basis</a> -- basis or generating set of all or part of a ring, ideal or module</li>
 <li><kbd>basis(ZZ,List,Matrix)</kbd> -- see <a title="basis or generating set of all or part of a ring, ideal or module" href="_basis.html">basis</a> -- basis or generating set of all or part of a ring, ideal or module</li>
 <li><kbd>basis(ZZ,List,Module)</kbd> -- see <a title="basis or generating set of all or part of a ring, ideal or module" href="_basis.html">basis</a> -- basis or generating set of all or part of a ring, ideal or module</li>
 <li><kbd>basis(ZZ,List,Ring)</kbd> -- see <a title="basis or generating set of all or part of a ring, ideal or module" href="_basis.html">basis</a> -- basis or generating set of all or part of a ring, ideal or module</li>
 <li><kbd>capture(List)</kbd> -- see <a title="evaluate Macaulay2 code and capture the output" href="_capture.html">capture</a> -- evaluate Macaulay2 code and capture the output</li>
 <li><kbd>check(List)</kbd> -- see <a title="perform tests of a package" href="_check.html">check</a> -- perform tests of a package</li>
 <li><kbd>check(List,Package)</kbd> -- see <a title="perform tests of a package" href="_check.html">check</a> -- perform tests of a package</li>
 <li><kbd>check(List,String)</kbd> -- see <a title="perform tests of a package" href="_check.html">check</a> -- perform tests of a package</li>
 <li><kbd>code(List)</kbd> -- see <a title="display source code" href="_code.html">code</a> -- display source code</li>
 <li><kbd>columnPermute(MutableMatrix,ZZ,List)</kbd> -- see <a title="permute some columns" href="_column__Permute.html">columnPermute</a> -- permute some columns</li>
 <li><kbd>commonRing(List)</kbd> -- see <a title="find smallest containing ring" href="_common__Ring.html">commonRing</a> -- find smallest containing ring</li>
 <li><kbd>degreesMonoid(List)</kbd> -- see <a title="the ring or monoid of degrees" href="_degrees__Ring_lp__List_rp.html">degreesRing(List)</a> -- the ring or monoid of degrees</li>
 <li><a title="the ring or monoid of degrees" href="_degrees__Ring_lp__List_rp.html">degreesRing(List)</a> -- the ring or monoid of degrees</li>
 <li><kbd>diagonalMatrix(List)</kbd> -- see <a title="make a diagonal matrix from a list" href="_diagonal__Matrix_lp__Ring_cm__Z__Z_cm__Z__Z_cm__List_rp.html">diagonalMatrix(Ring,ZZ,ZZ,List)</a> -- make a diagonal matrix from a list</li>
 <li><kbd>diagonalMatrix(Ring,List)</kbd> -- see <a title="make a diagonal matrix from a list" href="_diagonal__Matrix_lp__Ring_cm__Z__Z_cm__Z__Z_cm__List_rp.html">diagonalMatrix(Ring,ZZ,ZZ,List)</a> -- make a diagonal matrix from a list</li>
 <li><a title="make a diagonal matrix from a list" href="_diagonal__Matrix_lp__Ring_cm__Z__Z_cm__Z__Z_cm__List_rp.html">diagonalMatrix(Ring,ZZ,ZZ,List)</a> -- make a diagonal matrix from a list</li>
 <li><kbd>diagonalMatrix(RingFamily,List)</kbd> -- see <a title="make a diagonal matrix from a list" href="_diagonal__Matrix_lp__Ring_cm__Z__Z_cm__Z__Z_cm__List_rp.html">diagonalMatrix(Ring,ZZ,ZZ,List)</a> -- make a diagonal matrix from a list</li>
 <li><kbd>diagonalMatrix(RingFamily,ZZ,ZZ,List)</kbd> -- see <a title="make a diagonal matrix from a list" href="_diagonal__Matrix_lp__Ring_cm__Z__Z_cm__Z__Z_cm__List_rp.html">diagonalMatrix(Ring,ZZ,ZZ,List)</a> -- make a diagonal matrix from a list</li>
 <li><kbd>diagonalMatrix(ZZ,ZZ,List)</kbd> -- see <a title="make a diagonal matrix from a list" href="_diagonal__Matrix_lp__Ring_cm__Z__Z_cm__Z__Z_cm__List_rp.html">diagonalMatrix(Ring,ZZ,ZZ,List)</a> -- make a diagonal matrix from a list</li>
 <li><kbd>directProduct(List)</kbd> -- see <a title="direct product" href="_direct__Product.html">directProduct</a> -- direct product</li>
 <li><kbd>directSum(List)</kbd> -- see <a title="direct sum of modules or maps" href="_direct__Sum.html">directSum</a> -- direct sum of modules or maps</li>
 <li><kbd>document(List)</kbd> -- see <a title="create a documentation node" href="_document.html">document</a> -- create a documentation node</li>
 <li><kbd>makeDocumentTag(List)</kbd> -- see <a title="the class of all document tags" href="___Document__Tag.html">DocumentTag</a> -- the class of all document tags</li>
 <li><kbd>drop(BasicList,List)</kbd> -- see <a title="drop some elements from a list or sequence" href="_drop.html">drop</a> -- drop some elements from a list or sequence</li>
 <li><a title="the Alexander dual" href="_dual_lp__Monomial__Ideal_cm__List_rp.html">dual(MonomialIdeal,List)</a> -- the Alexander dual</li>
 <li><kbd>examples(List)</kbd> -- see <a title="list the examples in documentation" href="_examples.html">examples</a> -- list the examples in documentation</li>
 <li><kbd>export(List)</kbd> -- see <a title="export symbols from a package" href="_export.html">export</a> -- export symbols from a package</li>
 <li><kbd>exportFrom(Package,List)</kbd> -- see <a title="export symbols from a package's private dictionary" href="_export__From.html">exportFrom</a> -- export symbols from a package's private dictionary</li>
 <li><kbd>exportFrom(String,List)</kbd> -- see <a title="export symbols from a package's private dictionary" href="_export__From.html">exportFrom</a> -- export symbols from a package's private dictionary</li>
 <li><kbd>exportMutable(List)</kbd> -- see <a title="export mutable symbols from a package" href="_export__Mutable.html">exportMutable</a> -- export mutable symbols from a package</li>
 <li><kbd>findFiles(List)</kbd> -- see <a title="find files recursively" href="_find__Files.html">findFiles</a> -- find files recursively</li>
 <li><kbd>findHeft(List)</kbd> -- see <a title="find a heft vector for a list of degrees" href="_find__Heft.html">findHeft</a> -- find a heft vector for a list of degrees</li>
 <li><kbd>findProgram(String,List)</kbd> -- see <a title="load external program" href="_find__Program.html">findProgram</a> -- load external program</li>
 <li><kbd>gcd(List)</kbd> -- see <a title="greatest common divisor" href="_gcd.html">gcd</a> -- greatest common divisor</li>
 <li><kbd>Ring _ List</kbd> -- see <a title="make a monomial from a list of exponents" href="_get_spa_spmonomial_spby_spexponent_spvector.html">get a monomial by exponent vector</a> -- make a monomial from a list of exponents</li>
 <li><a title="make a graded module" href="../../OldChainComplexes/html/_graded__Module_lp__List_rp.html">gradedModule(List)</a></li>
 <li><kbd>HeaderType List</kbd> -- see <a title="a class of lists with abbreviated constructors" href="___Header__Type.html">HeaderType</a> -- a class of lists with abbreviated constructors</li>
 <li><kbd>headlines(List)</kbd> -- see <a title="display a table of documentation headlines" href="_headlines.html">headlines</a> -- display a table of documentation headlines</li>
 <li><kbd>help(List)</kbd> -- see <a title="view documentation nodes" href="_help.html">help</a> -- view documentation nodes</li>
 <li><kbd>hilbertFunction(List,Ideal)</kbd> -- see <a title="the Hilbert function" href="_hilbert__Function.html">hilbertFunction</a> -- the Hilbert function</li>
 <li><kbd>hilbertFunction(List,Module)</kbd> -- see <a title="the Hilbert function" href="_hilbert__Function.html">hilbertFunction</a> -- the Hilbert function</li>
 <li><kbd>hilbertFunction(List,Ring)</kbd> -- see <a title="the Hilbert function" href="_hilbert__Function.html">hilbertFunction</a> -- the Hilbert function</li>
 <li><kbd>homogenize(Matrix,RingElement,List)</kbd> -- see <a title="homogenize with respect to a variable" href="_homogenize.html">homogenize</a> -- homogenize with respect to a variable</li>
 <li><kbd>homogenize(Module,RingElement,List)</kbd> -- see <a title="homogenize with respect to a variable" href="_homogenize.html">homogenize</a> -- homogenize with respect to a variable</li>
 <li><kbd>homogenize(RingElement,RingElement,List)</kbd> -- see <a title="homogenize with respect to a variable" href="_homogenize.html">homogenize</a> -- homogenize with respect to a variable</li>
 <li><kbd>homogenize(Vector,RingElement,List)</kbd> -- see <a title="homogenize with respect to a variable" href="_homogenize.html">homogenize</a> -- homogenize with respect to a variable</li>
 <li><kbd>hooks(List)</kbd> -- see <a title="list hooks attached to a key" href="_hooks.html">hooks</a> -- list hooks attached to a key</li>
 <li><a title="make an ideal" href="_ideal_lp__List_rp.html">ideal(List)</a> -- make an ideal</li>
 <li><kbd>importFrom(Package,List)</kbd> -- see <a title="import symbols to the current private dictionary" href="_import__From.html">importFrom</a> -- import symbols to the current private dictionary</li>
 <li><kbd>importFrom(String,List)</kbd> -- see <a title="import symbols to the current private dictionary" href="_import__From.html">importFrom</a> -- import symbols to the current private dictionary</li>
 <li><kbd>intersect(List)</kbd> -- see <a title="compute an intersection" href="_intersect.html">intersect</a> -- compute an intersection</li>
 <li><kbd>lcm(List)</kbd> -- see <a title="least common multiple" href="_lcm.html">lcm</a> -- least common multiple</li>
 <li><a title="get value from list, hash table, database, dictionary, or string" href="___List_sp_sh_sp__Z__Z.html">List # ZZ</a> -- get value from list, hash table, database, dictionary, or string</li>
 <li><a title="rectangular sequences of consecutive lists and sequences" href="___List_sp.._sp__List.html">List .. List</a> -- rectangular sequences of consecutive lists and sequences</li>
 <li><a title="rectangular sequences of consecutive lists and sequences" href="___List_sp.._lt_sp__List.html">List ..&lt; List</a> -- rectangular sequences of consecutive lists and sequences</li>
 <li><a title="component-wise comparison of lists" href="___List_sp_lt_lt_sp__List.html">List &lt;&lt; List</a> -- component-wise comparison of lists</li>
 <li>List ^ List (missing documentation)
</li>
 <li><kbd>listSymbols(List)</kbd> -- see <a title="compact display of symbols and their values" href="_list__Symbols.html">listSymbols</a> -- compact display of symbols and their values</li>
 <li><kbd>makePackageIndex(List)</kbd> -- see <a title="create an index of installed packages" href="_make__Package__Index.html">makePackageIndex</a> -- create an index of installed packages</li>
 <li><a title="create a matrix by giving a sparse or dense list of entries" href="_map_lp__Module_cm__Module_cm__List_rp.html">map(Module,Module,List)</a> -- create a matrix by giving a sparse or dense list of entries</li>
 <li><kbd>map(Module,Module,RingMap,List)</kbd> -- see <a title="homomorphism of modules over different rings" href="_map_lp__Module_cm__Module_cm__Ring__Map_cm__Matrix_rp.html">map(Module,Module,RingMap,Matrix)</a> -- homomorphism of modules over different rings</li>
 <li><kbd>map(Module,Nothing,RingMap,List)</kbd> -- see <a title="homomorphism of modules over different rings" href="_map_lp__Module_cm__Module_cm__Ring__Map_cm__Matrix_rp.html">map(Module,Module,RingMap,Matrix)</a> -- homomorphism of modules over different rings</li>
 <li><a title="create a matrix by giving a doubly nested list of ring elements" href="_map_lp__Module_cm__Nothing_cm__List_rp.html">map(Module,Nothing,List)</a> -- create a matrix by giving a doubly nested list of ring elements</li>
 <li><a title="create a matrix by giving a sparse or dense list of entries" href="_map_lp__Module_cm__Z__Z_cm__List_rp.html">map(Module,ZZ,List)</a> -- create a matrix by giving a sparse or dense list of entries</li>
 <li><a title="make a ring map" href="_map_lp__Ring_cm__Ring_cm__List_rp.html">map(Ring,Ring,List)</a> -- make a ring map</li>
 <li><kbd>match(List,String)</kbd> -- see <a title="regular expression matching" href="_match.html">match</a> -- regular expression matching</li>
 <li><a title="select rows" href="___Matrix_sp%5E_sp__List.html">Matrix ^ List</a> -- select rows</li>
 <li><kbd>MutableMatrix ^ List</kbd> -- see <a title="select rows" href="___Matrix_sp%5E_sp__List.html">Matrix ^ List</a> -- select rows</li>
 <li><kbd>Vector ^ List</kbd> -- see <a title="select rows" href="___Matrix_sp%5E_sp__List.html">Matrix ^ List</a> -- select rows</li>
 <li><a title="select columns" href="___Matrix_sp_us_sp__List.html">Matrix _ List</a> -- select columns</li>
 <li><kbd>MutableMatrix _ List</kbd> -- see <a title="select columns" href="___Matrix_sp_us_sp__List.html">Matrix _ List</a> -- select columns</li>
 <li><a title="create a matrix from a doubly-nested list of ring elements or matrices" href="_matrix_lp__List_rp.html">matrix(List)</a> -- create a matrix from a doubly-nested list of ring elements or matrices</li>
 <li><a title="create a matrix from a doubly nested list of ring elements or matrices" href="_matrix_lp__Ring_cm__List_rp.html">matrix(Ring,List)</a> -- create a matrix from a doubly nested list of ring elements or matrices</li>
 <li><kbd>matrix(RingFamily,List)</kbd> -- see <a title="create a matrix from a doubly nested list of ring elements or matrices" href="_matrix_lp__Ring_cm__List_rp.html">matrix(Ring,List)</a> -- create a matrix from a doubly nested list of ring elements or matrices</li>
 <li><kbd>memoize(Function,List)</kbd> -- see <a title="record results of function evaluation for future use" href="_memoize.html">memoize</a> -- record results of function evaluation for future use</li>
 <li><kbd>Module / List</kbd> -- see <a title="quotient module" href="___Module_sp_sl_sp__Module.html">Module / Module</a> -- quotient module</li>
 <li><a title="projection onto summand" href="___Module_sp%5E_sp__List.html">Module ^ List</a> -- projection onto summand</li>
 <li><kbd>Ideal _ List</kbd> -- see <a title="map from free module to some generators" href="___Module_sp_us_sp__List.html">Module _ List</a> -- map from free module to some generators</li>
 <li><a title="map from free module to some generators" href="___Module_sp_us_sp__List.html">Module _ List</a> -- map from free module to some generators</li>
 <li><kbd>monoid(List)</kbd> -- see <a title="make or retrieve a monoid" href="_monoid.html">monoid</a> -- make or retrieve a monoid</li>
 <li><kbd>monomialIdeal(List)</kbd> -- see <a title="monomial ideal of lead monomials" href="_monomial__Ideal_lp__Matrix_rp.html">monomialIdeal(Matrix)</a> -- monomial ideal of lead monomials</li>
 <li>MultigradedBettiTally List (missing documentation)
</li>
 <li><kbd>mutableMatrix(List)</kbd> -- see <a title="make a mutable matrix" href="_mutable__Matrix.html">mutableMatrix</a> -- make a mutable matrix</li>
 <li><kbd>mutableMatrix(Ring,List)</kbd> -- see <a title="make a mutable matrix" href="_mutable__Matrix.html">mutableMatrix</a> -- make a mutable matrix</li>
 <li><kbd>mutableMatrix(RingFamily,List)</kbd> -- see <a title="make a mutable matrix" href="_mutable__Matrix.html">mutableMatrix</a> -- make a mutable matrix</li>
 <li><a title="make a hash table from a list" href="_new_sp__Hash__Table_spfrom_sp__List.html">new HashTable from List</a> -- make a hash table from a list</li>
 <li>new OptionTable from List (missing documentation)
</li>
 <li><kbd>norm(List)</kbd> -- see <a href="_norm.html">norm</a></li>
 <li><kbd>ofClass(List)</kbd> -- see <a title="English phrases for types" href="_of__Class.html">ofClass</a> -- English phrases for types</li>
 <li><kbd>options(List)</kbd> -- see <a title="get the optional arguments and default values of a function or method" href="_options_lp__Function_rp.html">options(Function)</a> -- get the optional arguments and default values of a function or method</li>
 <li><kbd>OptionTable ++ List</kbd> -- see <a href="___Option__Table_sp_pl_pl_sp__Option__Table.html">OptionTable ++ OptionTable</a></li>
 <li><kbd>List >> Function</kbd> -- see <a title="attaching options to a function" href="___Option__Table_sp_gt_gt_sp__Function.html">OptionTable >> Function</a> -- attaching options to a function</li>
 <li><kbd>part(List,RingElement)</kbd> -- see <a title="select terms of a polynomial by degree(s) or weight(s)" href="_part.html">part</a> -- select terms of a polynomial by degree(s) or weight(s)</li>
 <li>part(List,Ideal) (missing documentation)
</li>
 <li>part(List,Matrix) (missing documentation)
</li>
 <li>part(List,Module) (missing documentation)
</li>
 <li>part(List,Ring) (missing documentation)
</li>
 <li><a title="product of elements" href="_product_lp__List_rp.html">product(List)</a> -- product of elements</li>
 <li>pullback(List) (missing documentation)
</li>
 <li>pushout(List) (missing documentation)
</li>
 <li><a title="shuffle a list randomly" href="_random_lp__List_rp.html">random(List)</a> -- shuffle a list randomly</li>
 <li><a title="get a random vector in the module" href="_random_lp__List_cm__Module_rp.html">random(List,Module)</a> -- get a random vector in the module</li>
 <li><kbd>random(List,Ideal)</kbd> -- see <a title="get a random homogeneous element from a graded ideal" href="_random_lp__Z__Z_cm__Ideal_rp.html">random(ZZ,Ideal)</a> -- get a random homogeneous element from a graded ideal</li>
 <li><kbd>random(List,Ring)</kbd> -- see <a title="get a random homogeneous element from a graded ring" href="_random_lp__Z__Z_cm__Ring_rp.html">random(ZZ,Ring)</a> -- get a random homogeneous element from a graded ring</li>
 <li><kbd>Ring / List</kbd> -- see <a title="make a quotient ring" href="___Ring_sp_sl_sp__Ideal.html">Ring / Ideal</a> -- make a quotient ring</li>
 <li><a title="make a free module" href="___Ring_sp%5E_sp__List.html">Ring ^ List</a> -- make a free module</li>
 <li><kbd>RingFamily ^ List</kbd> -- see <a title="make a free module" href="___Ring_sp%5E_sp__List.html">Ring ^ List</a> -- make a free module</li>
 <li><kbd>InexactFieldFamily List</kbd> -- see <a title="make a local polynomial ring" href="___Ring_sp__List.html">Ring List</a> -- make a local polynomial ring</li>
 <li><a title="make a local polynomial ring" href="___Ring_sp__List.html">Ring List</a> -- make a local polynomial ring</li>
 <li><kbd>rowPermute(MutableMatrix,ZZ,List)</kbd> -- see <a title="permute some rows" href="_row__Permute.html">rowPermute</a> -- permute some rows</li>
 <li><kbd>rsort(List)</kbd> -- see <a title="sort a list or matrix in reverse order" href="_rsort.html">rsort</a> -- sort a list or matrix in reverse order</li>
 <li><kbd>rsort(List,Function)</kbd> -- see <a title="sort a list or matrix in reverse order" href="_rsort.html">rsort</a> -- sort a list or matrix in reverse order</li>
 <li><kbd>scanLines(Function,List)</kbd> -- see <a title="apply a function to each line of a file" href="_scan__Lines.html">scanLines</a> -- apply a function to each line of a file</li>
 <li><kbd>selectVariables(List,PolynomialRing)</kbd> -- see <a title="make a subring of a polynomial ring generated by selected variables" href="_select__Variables.html">selectVariables</a> -- make a subring of a polynomial ring generated by selected variables</li>
 <li><kbd>Set - List</kbd> -- see <a title="set difference" href="___Set_sp-_sp__Set.html">Set - Set</a> -- set difference</li>
 <li><a title="sort a list" href="_sort_lp__List_rp.html">sort(List)</a> -- sort a list</li>
 <li><kbd>sort(List,Function)</kbd> -- see <a title="sort a list" href="_sort_lp__List_rp.html">sort(List)</a> -- sort a list</li>
 <li><a title="construct smallest interval" href="_span_lp__List_rp.html">span(List)</a> -- construct smallest interval</li>
 <li><kbd>standardPairs(MonomialIdeal,List)</kbd> -- see <a title="find the standard pairs of a monomial ideal" href="_standard__Pairs.html">standardPairs</a> -- find the standard pairs of a monomial ideal</li>
 <li><kbd>submatrixByDegrees(Matrix,List,List)</kbd> -- see <a title="submatrix consisting of rows and columns in an interval or box of degrees" href="_submatrix__By__Degrees.html">submatrixByDegrees</a> -- submatrix consisting of rows and columns in an interval or box of degrees</li>
 <li><kbd>subsets(List)</kbd> -- see <a title="produce the subsets of a set or list" href="_subsets.html">subsets</a> -- produce the subsets of a set or list</li>
 <li><kbd>subsets(List,ZZ)</kbd> -- see <a title="produce the subsets of a set or list" href="_subsets.html">subsets</a> -- produce the subsets of a set or list</li>
 <li><kbd>substitute(Ideal,List)</kbd> -- see <a title="substituting values for variables" href="_substitute.html">substitute</a> -- substituting values for variables</li>
 <li><kbd>substitute(Matrix,List)</kbd> -- see <a title="substituting values for variables" href="_substitute.html">substitute</a> -- substituting values for variables</li>
 <li><kbd>substitute(Module,List)</kbd> -- see <a title="substituting values for variables" href="_substitute.html">substitute</a> -- substituting values for variables</li>
 <li><kbd>substitute(RingElement,List)</kbd> -- see <a title="substituting values for variables" href="_substitute.html">substitute</a> -- substituting values for variables</li>
 <li><kbd>substitute(Vector,List)</kbd> -- see <a title="substituting values for variables" href="_substitute.html">substitute</a> -- substituting values for variables</li>
 <li><a title="sum the elements of a list" href="_sum_lp__List_rp.html">sum(List)</a> -- sum the elements of a list</li>
 <li><kbd>SYNOPSIS(List)</kbd> -- see <a title="a standardized synopsis for use in documentation nodes" href="___S__Y__N__O__P__S__I__S.html">SYNOPSIS</a> -- a standardized synopsis for use in documentation nodes</li>
 <li><kbd>take(BasicList,List)</kbd> -- see <a title="take some elements from a list or sequence" href="_take.html">take</a> -- take some elements from a list or sequence</li>
 <li><kbd>tensor(List)</kbd> -- see <a title="tensor product" href="_tensor.html">tensor</a> -- tensor product</li>
 <li><a title="truncation of the graded ring, ideal or module at a specified degree or set of degrees" href="../../Truncations/html/_truncate_lp__List_cm__Module_rp.html">truncate(List,Ideal)</a></li>
 <li>truncate(List,List,Matrix) (missing documentation)
</li>
 <li><a title="truncation of a map of free modules" href="../../Truncations/html/_truncate_lp__List_cm__Matrix_rp.html">truncate(List,Matrix)</a></li>
 <li><a title="truncation of the graded ring, ideal or module at a specified degree or set of degrees" href="../../Truncations/html/_truncate_lp__List_cm__Module_rp.html">truncate(List,Module)</a></li>
 <li><a title="truncation of the graded ring, ideal or module at a specified degree or set of degrees" href="../../Truncations/html/_truncate_lp__List_cm__Module_rp.html">truncate(List,Ring)</a></li>
 <li>truncate(Nothing,List,Matrix) (missing documentation)
</li>
 <li><kbd>undocumented(List)</kbd> -- see <a title="declare that something need not be documented" href="_undocumented.html">undocumented</a> -- declare that something need not be documented</li>
 <li><kbd>union(List)</kbd> -- see <a title="compute the union" href="_union.html">union</a> -- compute the union</li>
 <li><a title="a sequence of variables" href="_vars_lp__List_rp.html">vars(List)</a> -- a sequence of variables</li>
 <li><kbd>vector(List)</kbd> -- see <a title="make a vector" href="_vector.html">vector</a> -- make a vector</li>
 <li><kbd>vector(Module,List)</kbd> -- see <a title="make a vector" href="_vector.html">vector</a> -- make a vector</li>
 <li><kbd>vector(Ring,List)</kbd> -- see <a title="make a vector" href="_vector.html">vector</a> -- make a vector</li>
 <li><kbd>vector(RingFamily,List)</kbd> -- see <a title="make a vector" href="_vector.html">vector</a> -- make a vector</li>
 <li><kbd>List / SelfInitializingType</kbd> -- see <a title="apply a function to elements of a list" href="___Visible__List_sp_sl_sp__Function.html">VisibleList / Function</a> -- apply a function to elements of a list</li>
 <li><a title="get some entries of a list" href="___Visible__List_sp_us_sp__List.html">VisibleList _ List</a> -- get some entries of a list</li>
 <li><kbd>weightRange(List,RingElement)</kbd> -- see <a title="the pair of lowest and highest weights of the monomials" href="_weight__Range.html">weightRange</a> -- the pair of lowest and highest weights of the monomials</li>
 <li><kbd>WrapperType List</kbd> -- see <a title="a class of lists with abbreviated constructors" href="___Wrapper__Type.html">WrapperType</a> -- a class of lists with abbreviated constructors</li>
 </ul>
 </div>
 <div class="waystouse">
 <h2>For the programmer</h2>
 The object <a title="the class of all lists -- {...}" href="___List.html">List</a> is a <a title="the class of all mutable types" href="___Type.html">type</a>, with ancestor classes <a title="the class of all visible lists" href="___Visible__List.html">VisibleList</a> &lt; <a title="the class of all basic lists" href="___Basic__List.html">BasicList</a> &lt; <a title="the class of all things" href="___Thing.html">Thing</a>.
 </div>
 <hr>
 <div class="waystouse">
 The source of this document is in Macaulay2Doc/ov_lists.m2:616:0.
 </div>
 </div>
 </div>
 </body>

</html>