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<head><title>VisibleList -- the class of all visible lists</title>
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<div><a href="index.html" title="">Macaulay2Doc</a> > <a href="___The_sp__Macaulay2_splanguage.html" title="">The Macaulay2 language</a> > <a href="_lists_spand_spsequences.html" title="">lists and sequences</a> > <a href="___Visible__List.html" title="the class of all visible lists">VisibleList</a></div>
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<div><h1>VisibleList -- the class of all visible lists</h1>
<div class="single"><h2>Description</h2>
<div>There are three types of lists that can be entered directly from the keyboard, as follows.<table class="examples"><tr><td><pre>i1 : {a,b,c}
o1 = {a, b, c}
o1 : List</pre>
</td></tr>
<tr><td><pre>i2 : [a,b,c]
o2 = [a, b, c]
o2 : Array</pre>
</td></tr>
<tr><td><pre>i3 : (a,b,c)
o3 = (a, b, c)
o3 : Sequence</pre>
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</table>
We introduce the class of visible lists as a convenience for referring to lists of these types.</div>
</div>
<div class="waystouse"><h2>Types of visible list :</h2>
<ul><li><span><a href="___Array.html" title="the class of all arrays -- [...]">Array</a> -- the class of all arrays -- [...]</span></li>
<li><span><a href="___List.html" title="the class of all lists -- {...}">List</a> -- the class of all lists -- {...}</span></li>
<li><span><a href="___Sequence.html" title="the class of all sequences -- (...)">Sequence</a> -- the class of all sequences -- (...)</span></li>
</ul>
<h2>Functions and methods returning a visible list :</h2>
<ul><li><span><a href="_accumulate_lp__Function_cm__Thing_cm__Visible__List_rp.html" title="">accumulate(Function,Thing,VisibleList)</a></span></li>
<li><span><a href="_accumulate_lp__Function_cm__Visible__List_rp.html" title="">accumulate(Function,VisibleList)</a></span></li>
<li><span><a href="_accumulate_lp__Visible__List_cm__Function_rp.html" title="">accumulate(VisibleList,Function)</a></span></li>
<li><span><a href="_accumulate_lp__Visible__List_cm__Thing_cm__Function_rp.html" title="">accumulate(VisibleList,Thing,Function)</a></span></li>
<li><span>flatten(VisibleList), see <span><a href="_flatten.html" title="flatten a list by unnesting lists">flatten</a> -- flatten a list by unnesting lists</span></span></li>
<li><span><a href="_fold_lp__Function_cm__Thing_cm__Visible__List_rp.html" title="">fold(Function,Thing,VisibleList)</a></span></li>
<li><span><a href="_fold_lp__Function_cm__Visible__List_rp.html" title="">fold(Function,VisibleList)</a></span></li>
<li><span><a href="_fold_lp__Visible__List_cm__Function_rp.html" title="">fold(VisibleList,Function)</a></span></li>
<li><span><a href="_fold_lp__Visible__List_cm__Thing_cm__Function_rp.html" title="">fold(VisibleList,Thing,Function)</a></span></li>
<li><span><a href="_insert_lp__Z__Z_cm__Thing_cm__Visible__List_rp.html" title="copy a list, inserting an element">insert(ZZ,Thing,VisibleList)</a> -- copy a list, inserting an element</span></li>
<li><span>permutations(VisibleList), see <span><a href="_permutations.html" title="produce all permutations of a list">permutations</a> -- produce all permutations of a list</span></span></li>
<li><span><a href="_replace_lp__Z__Z_cm__Thing_cm__Visible__List_rp.html" title="copy a list, replacing an element">replace(ZZ,Thing,VisibleList)</a> -- copy a list, replacing an element</span></li>
<li><span><a href="_switch_lp__Z__Z_cm__Z__Z_cm__Visible__List_rp.html" title="copy a list, switching two elements">switch(ZZ,ZZ,VisibleList)</a> -- copy a list, switching two elements</span></li>
<li><span>Command \\ Thing, see <span><a href="___Thing_sp_sl_sl_sp__Function.html" title="apply a function">Thing // Function</a> -- apply a function</span></span></li>
<li><span>Function \\ Thing, see <span><a href="___Thing_sp_sl_sl_sp__Function.html" title="apply a function">Thing // Function</a> -- apply a function</span></span></li>
<li><span>Thing // Command, see <span><a href="___Thing_sp_sl_sl_sp__Function.html" title="apply a function">Thing // Function</a> -- apply a function</span></span></li>
<li><span><a href="___Thing_sp_sl_sl_sp__Function.html" title="apply a function">Thing // Function</a> -- apply a function</span></li>
<li><span>Command \ VisibleList, see <span><a href="___Visible__List_sp_sl_sp__Function.html" title="apply a function to elements of a list">VisibleList / Function</a> -- apply a function to elements of a list</span></span></li>
<li><span>Function \ VisibleList, see <span><a href="___Visible__List_sp_sl_sp__Function.html" title="apply a function to elements of a list">VisibleList / Function</a> -- apply a function to elements of a list</span></span></li>
<li><span>VisibleList / Command, see <span><a href="___Visible__List_sp_sl_sp__Function.html" title="apply a function to elements of a list">VisibleList / Function</a> -- apply a function to elements of a list</span></span></li>
<li><span><a href="___Visible__List_sp_sl_sp__Function.html" title="apply a function to elements of a list">VisibleList / Function</a> -- apply a function to elements of a list</span></li>
<li><span><a href="___Visible__List_sp_us_sp__List.html" title="get some entries of a list">VisibleList _ List</a> -- get some entries of a list</span></li>
</ul>
<h2>Methods that use a visible list :</h2>
<ul><li><span>VisibleList == VisibleList, see <span><a href="__eq_eq.html" title="equality">==</a> -- equality</span></span></li>
<li><span><a href="_between_lp__Thing_cm__Visible__List_rp.html" title="insert something between elements of a list">between(Thing,VisibleList)</a> -- insert something between elements of a list</span></li>
<li><span>commonest(VisibleList), see <span><a href="_commonest.html" title="the most common elements of a list or tally">commonest</a> -- the most common elements of a list or tally</span></span></li>
<li><span>EXAMPLE(VisibleList), see <span><a href="___E__X__A__M__P__L__E.html" title="hypertext EXAMPLE item">EXAMPLE</a> -- hypertext EXAMPLE item</span></span></li>
<li><span><a href="_is__Sorted_lp__Visible__List_rp.html" title="whether a list is sorted">isSorted(VisibleList)</a> -- whether a list is sorted</span></li>
<li><span>isSubset(Set,VisibleList), see <span><a href="_is__Subset_lp__Set_cm__Set_rp.html" title="whether one object is a subset of another">isSubset(Set,Set)</a> -- whether one object is a subset of another</span></span></li>
<li><span>isSubset(VisibleList,Set), see <span><a href="_is__Subset_lp__Set_cm__Set_rp.html" title="whether one object is a subset of another">isSubset(Set,Set)</a> -- whether one object is a subset of another</span></span></li>
<li><span>isSubset(VisibleList,VisibleList), see <span><a href="_is__Subset_lp__Set_cm__Set_rp.html" title="whether one object is a subset of another">isSubset(Set,Set)</a> -- whether one object is a subset of another</span></span></li>
<li><span><a href="_length_lp__Visible__List_rp.html" title="length of a visible list">length(VisibleList)</a> -- length of a visible list</span></li>
<li><span>max(VisibleList), see <span><a href="_max.html" title="maximum of elements of a list">max</a> -- maximum of elements of a list</span></span></li>
<li><span>member(Thing,VisibleList), see <span><a href="_member.html" title="test membership in a list or set">member</a> -- test membership in a list or set</span></span></li>
<li><span>min(VisibleList), see <span><a href="_min.html" title="minimum of elements of a list">min</a> -- minimum of elements of a list</span></span></li>
<li><span><a href="_net__List_lp__Visible__List_rp.html" title="a table of boxes">netList(VisibleList)</a> -- a table of boxes</span></li>
<li><span>numeric(VisibleList), see <span><a href="_numeric.html" title="convert to floating point">numeric</a> -- convert to floating point</span></span></li>
<li><span>numeric(ZZ,VisibleList), see <span><a href="_numeric.html" title="convert to floating point">numeric</a> -- convert to floating point</span></span></li>
<li><span>part(InfiniteNumber,InfiniteNumber,VisibleList,RingElement), see <span><a href="_part_lp__Z__Z_cm__Z__Z_cm__Visible__List_cm__Ring__Element_rp.html" title="select terms of a polynomial by degree or weight">part(ZZ,ZZ,VisibleList,RingElement)</a> -- select terms of a polynomial by degree or weight</span></span></li>
<li><span>part(InfiniteNumber,ZZ,VisibleList,RingElement), see <span><a href="_part_lp__Z__Z_cm__Z__Z_cm__Visible__List_cm__Ring__Element_rp.html" title="select terms of a polynomial by degree or weight">part(ZZ,ZZ,VisibleList,RingElement)</a> -- select terms of a polynomial by degree or weight</span></span></li>
<li><span>part(Nothing,Nothing,VisibleList,RingElement), see <span><a href="_part_lp__Z__Z_cm__Z__Z_cm__Visible__List_cm__Ring__Element_rp.html" title="select terms of a polynomial by degree or weight">part(ZZ,ZZ,VisibleList,RingElement)</a> -- select terms of a polynomial by degree or weight</span></span></li>
<li><span>part(Nothing,ZZ,VisibleList,RingElement), see <span><a href="_part_lp__Z__Z_cm__Z__Z_cm__Visible__List_cm__Ring__Element_rp.html" title="select terms of a polynomial by degree or weight">part(ZZ,ZZ,VisibleList,RingElement)</a> -- select terms of a polynomial by degree or weight</span></span></li>
<li><span>part(ZZ,InfiniteNumber,VisibleList,RingElement), see <span><a href="_part_lp__Z__Z_cm__Z__Z_cm__Visible__List_cm__Ring__Element_rp.html" title="select terms of a polynomial by degree or weight">part(ZZ,ZZ,VisibleList,RingElement)</a> -- select terms of a polynomial by degree or weight</span></span></li>
<li><span>part(ZZ,Nothing,VisibleList,RingElement), see <span><a href="_part_lp__Z__Z_cm__Z__Z_cm__Visible__List_cm__Ring__Element_rp.html" title="select terms of a polynomial by degree or weight">part(ZZ,ZZ,VisibleList,RingElement)</a> -- select terms of a polynomial by degree or weight</span></span></li>
<li><span>part(ZZ,VisibleList,RingElement), see <span><a href="_part_lp__Z__Z_cm__Z__Z_cm__Visible__List_cm__Ring__Element_rp.html" title="select terms of a polynomial by degree or weight">part(ZZ,ZZ,VisibleList,RingElement)</a> -- select terms of a polynomial by degree or weight</span></span></li>
<li><span><a href="_part_lp__Z__Z_cm__Z__Z_cm__Visible__List_cm__Ring__Element_rp.html" title="select terms of a polynomial by degree or weight">part(ZZ,ZZ,VisibleList,RingElement)</a> -- select terms of a polynomial by degree or weight</span></li>
<li><span>partition(Function,VisibleList), see <span><a href="_partition.html" title="partition a set or list by values of a function">partition</a> -- partition a set or list by values of a function</span></span></li>
<li><span>position(VisibleList,Function), see <span><a href="_position.html" title="find first element of a list satisfying a condition">position</a> -- find first element of a list satisfying a condition</span></span></li>
<li><span><a href="_position_lp__Visible__List_cm__Visible__List_cm__Function_rp.html" title="find first element of a list satisfying a condition">position(VisibleList,VisibleList,Function)</a> -- find first element of a list satisfying a condition</span></li>
<li><span><a href="_positions_lp__Visible__List_cm__Function_rp.html" title="which elements of a list satisfy a condition">positions(VisibleList,Function)</a> -- which elements of a list satisfy a condition</span></li>
<li><span><a href="_product_lp__Visible__List_cm__Function_rp.html" title="product of values of a function">product(VisibleList,Function)</a> -- product of values of a function</span></li>
<li><span><a href="_product_lp__Visible__List_cm__Visible__List_cm__Function_rp.html" title="product of results of applying a function pairwise">product(VisibleList,VisibleList,Function)</a> -- product of results of applying a function pairwise</span></li>
<li><span><a href="_rotate_lp__Z__Z_cm__Visible__List_rp.html" title="rotate a list">rotate(ZZ,VisibleList)</a> -- rotate a list</span></li>
<li><span><a href="_run__Length__Encode_lp__Visible__List_rp.html" title="run length encoding">runLengthEncode(VisibleList)</a> -- run length encoding</span></li>
<li><span><a href="___Schubert_lp__Z__Z_cm__Z__Z_cm__Visible__List_rp.html" title="find the Pluecker ideal of a Schubert variety">Schubert(ZZ,ZZ,VisibleList)</a> -- find the Pluecker ideal of a Schubert variety</span></li>
<li><span>set(VisibleList), see <span><a href="_set.html" title="make a set">set</a> -- make a set</span></span></li>
<li><span>sublists(VisibleList,Function), see <span><a href="_sublists.html" title="process interspersed sublists of a list">sublists</a> -- process interspersed sublists of a list</span></span></li>
<li><span>sublists(VisibleList,Function,Function), see <span><a href="_sublists.html" title="process interspersed sublists of a list">sublists</a> -- process interspersed sublists of a list</span></span></li>
<li><span>sublists(VisibleList,Function,Function,Function), see <span><a href="_sublists.html" title="process interspersed sublists of a list">sublists</a> -- process interspersed sublists of a list</span></span></li>
<li><span>sublists(VisibleList,Function,Function,Nothing), see <span><a href="_sublists.html" title="process interspersed sublists of a list">sublists</a> -- process interspersed sublists of a list</span></span></li>
<li><span>sublists(VisibleList,Function,Nothing), see <span><a href="_sublists.html" title="process interspersed sublists of a list">sublists</a> -- process interspersed sublists of a list</span></span></li>
<li><span>sublists(VisibleList,Function,Nothing,Function), see <span><a href="_sublists.html" title="process interspersed sublists of a list">sublists</a> -- process interspersed sublists of a list</span></span></li>
<li><span>sublists(VisibleList,Function,Nothing,Nothing), see <span><a href="_sublists.html" title="process interspersed sublists of a list">sublists</a> -- process interspersed sublists of a list</span></span></li>
<li><span>submatrix'(Matrix,Nothing,VisibleList), see <span><a href="_submatrix_sq.html" title="exclude rows and/or columns of a matrix">submatrix'</a> -- exclude rows and/or columns of a matrix</span></span></li>
<li><span>submatrix'(Matrix,VisibleList), see <span><a href="_submatrix_sq.html" title="exclude rows and/or columns of a matrix">submatrix'</a> -- exclude rows and/or columns of a matrix</span></span></li>
<li><span>submatrix'(Matrix,VisibleList,Nothing), see <span><a href="_submatrix_sq.html" title="exclude rows and/or columns of a matrix">submatrix'</a> -- exclude rows and/or columns of a matrix</span></span></li>
<li><span>submatrix'(Matrix,VisibleList,VisibleList), see <span><a href="_submatrix_sq.html" title="exclude rows and/or columns of a matrix">submatrix'</a> -- exclude rows and/or columns of a matrix</span></span></li>
<li><span><a href="_submatrix_lp__Matrix_cm__Visible__List_rp.html" title="select columns">submatrix(Matrix,VisibleList)</a> -- select columns</span></li>
<li><span>submatrix(Matrix,Nothing,VisibleList), see <span><a href="_submatrix_lp__Matrix_cm__Visible__List_cm__Visible__List_rp.html" title="select part of a matrix">submatrix(Matrix,VisibleList,VisibleList)</a> -- select part of a matrix</span></span></li>
<li><span>submatrix(Matrix,VisibleList,Nothing), see <span><a href="_submatrix_lp__Matrix_cm__Visible__List_cm__Visible__List_rp.html" title="select part of a matrix">submatrix(Matrix,VisibleList,VisibleList)</a> -- select part of a matrix</span></span></li>
<li><span><a href="_submatrix_lp__Matrix_cm__Visible__List_cm__Visible__List_rp.html" title="select part of a matrix">submatrix(Matrix,VisibleList,VisibleList)</a> -- select part of a matrix</span></li>
<li><span><a href="_sum_lp__Visible__List_cm__Function_rp.html" title="sum results of applying a function">sum(VisibleList,Function)</a> -- sum results of applying a function</span></li>
<li><span><a href="_sum_lp__Visible__List_cm__Visible__List_cm__Function_rp.html" title="sum results of applying a function pairwise">sum(VisibleList,VisibleList,Function)</a> -- sum results of applying a function pairwise</span></li>
<li><span><a href="_tally_lp__Visible__List_rp.html" title="tally the elements of a list, sequence, or array">tally(VisibleList)</a> -- tally the elements of a list, sequence, or array</span></li>
<li><span>SelfInitializingType \ VisibleList, see <span><a href="___Visible__List_sp_sl_sp__Function.html" title="apply a function to elements of a list">VisibleList / Function</a> -- apply a function to elements of a list</span></span></li>
<li><span>VisibleList / SelfInitializingType, see <span><a href="___Visible__List_sp_sl_sp__Function.html" title="apply a function to elements of a list">VisibleList / Function</a> -- apply a function to elements of a list</span></span></li>
<li><span><a href="___Visible__List_sp_us_sp__Z__Z.html" title="get element from list">VisibleList _ ZZ</a> -- get element from list</span></li>
</ul>
</div>
<div class="waystouse"><h2>For the programmer</h2>
<p>The object <a href="___Visible__List.html" title="the class of all visible lists">VisibleList</a> is <span>a <a href="___Type.html">type</a></span>, with ancestor classes <a href="___Basic__List.html" title="the class of all basic lists">BasicList</a> < <a href="___Thing.html" title="the class of all things">Thing</a>.</p>
</div>
<div><h3>Menu</h3>
<ul><li><span><a href="___List.html" title="the class of all lists -- {...}">List</a> -- the class of all lists -- {...}</span></li>
<li><span><a href="___Sequence.html" title="the class of all sequences -- (...)">Sequence</a> -- the class of all sequences -- (...)</span></li>
<li><span><a href="___Array.html" title="the class of all arrays -- [...]">Array</a> -- the class of all arrays -- [...]</span></li>
</ul>
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