wolfram mathematica list to sequence

mathematica.stackexchange.com › questions › 44193 › convert-list-to-sequence

You can use SlotSequence and ConstantArray (or Table):

fun[x_List, n_Integer] := Flatten[Outer[List, ##] & @@ ConstantArray[x, n], 2]

fun[{a, b}, 3] == Tuples[{a, b}, 3]
(* True *)

Answer from rm -rf on Stack Exchange

Wolfram Language

reference.wolfram.com › language › ref › Sequence.html

Sequence - Wolfram Language Documentation

Wolfram Language code: f[{{a, b}, {c, d}, {a}}] /. List -> Sequence · Conditionally add an element to a list by using Apply to delay the Sequence until evaluation:

Stack Exchange

mathematica.stackexchange.com › questions › 44193 › convert-list-to-sequence

Convert list to sequence - Mathematica Stack Exchange

Top answer

1 of 2

5

You can use SlotSequence and ConstantArray (or Table):

fun[x_List, n_Integer] := Flatten[Outer[List, ##] & @@ ConstantArray[x, n], 2]

fun[{a, b}, 3] == Tuples[{a, b}, 3]
(* True *)

2 of 2

4

Here's an approach with Table.

fun[x_List, n_Integer] := Flatten[Outer[List, Sequence @@ Table[x, {n}]], n-1]

examples

fun[{a, b}, 3]

{{a, a, a}, {a, a, b}, {a, b, a}, {a, b, b}, {b, a, a}, {b, a, b}, {b, b, a}, {b, b, b}}

fun[{a, b}, 4]

{{a, a, a, a}, {a, a, a, b}, {a, a, b, a}, {a, a, b, b}, {a, b, a, a}, {a, b, a, b}, {a, b, b, a}, {a, b, b, b}, {b, a, a, a}, {b, a, a, b}, {b, a, b, a}, {b, a, b, b}, {b, b, a, a}, {b, b, a, b}, {b, b, b, a}, {b, b, b, b}}

Is there a simple way to convert a list to a sequence?

Defining a sequence from a list or a table

syntax - Splicing a list of arguments into a function with Sequence

functions - solving an equation for two lists of values sequentially

Find and highlight sequence patterns in a list

More results from stackexchange.com

Wolfram Language

reference.wolfram.com › language › ref › List.html

List - Wolfram Language Documentation

A list can be converted to a sequence of expressions by applying Sequence to it.

Wolfram Language

reference.wolfram.com › language › ref › SequenceReplace.html

SequenceReplace - Wolfram Language Documentation

SequenceReplace[list, rules] replaces sequences in list according to the specified rule or list of rules. SequenceReplace[list, rules, n] does only the first n replacements. SequenceReplace[rules] represents an operator form of SequenceReplace ...

Webel IT Australia

webel.com.au › node › 3498

Mathematica: HOWTO Convert a list into a Sequence of arguments to a function (where each of the arguments to the function corresponds to a list item) | Webel IT Australia

There are many easy solutions, perhaps the easiest is the infix @@ version of Apply: f[a_,b_,c_,d_] := .. list = {fe,fi,fo,fum}; f @@ list It's also possible to splice sequences in. list2 = {e,f} g[a, b, c, d, Sequence @@ list2]

Wolfram Language

reference.wolfram.com › language › ref › FindSequenceFunction.html.en

FindSequenceFunction—Wolfram Documentation

FindSequenceFunction[{a1, a2, a3, ...}] attempts to find a simple function that yields the sequence an when given successive integer arguments. FindSequenceFunction[{{n1, a1}, {n2, a2}, ...}] attempts to find a simple function that yields ai ...

Wolfram Language

reference.wolfram.com › language › ref › List.html.en

List

A list can be converted to a sequence of expressions by applying Sequence to it.

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wolfram.com › language › fast-introduction-for-math-students › en › sequences-sums-and-series

Sequences, Sums, Series | Mathematica & Wolfram Language for Math Students—Fast Intro

How to build integer sequences and recursive sequences with lists. Calculate totals, sums, power series approximations. Tutorial for Mathematica & Wolfram Language.

Wolfram|Alpha

wolframalpha.com › examples › Sequences.html

Wolfram|Alpha Examples: Sequences

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reference.wolfram.com › language › ref › FindSequenceFunction.html

FindSequenceFunction - Wolfram Language Documentation

FindSequenceFunction[{a1, a2, a3, ...}] attempts to find a simple function that yields the sequence an when given successive integer arguments. FindSequenceFunction[{{n1, a1}, {n2, a2}, ...}] attempts to find a simple function that yields ai ...

Wolfram Language

reference.wolfram.com › language › ref › Sequence.html.en

Sequence

Listable · SequenceHold · Splice · Nothing · Tech Notes · Sequences · Sequence[expr1,expr2,…] represents a sequence of arguments to be spliced automatically into any function.

Wolfram Language

reference.wolfram.com › language › guide › IntegerSequences.html

Integer Sequences - Wolfram Language Documentation

The symbolic character of the Wolfram Language makes possible a uniquely coherent approach to integer sequences, integrating functional forms, equations, generating functions, and explicit lists of values. Powerful new algorithms developed at Wolfram Research make possible recognition of functional forms for an extremely wide range of classes of integer sequences.

Wolfram Language

reference.wolfram.com › language › ref › SequenceCases.html

SequenceCases - Wolfram Language Documentation

SequenceCases[list, patt] gives a list of the sublists in list that match the sequence pattern patt. SequenceCases[list, patt -> rhs] gives a list of the values of rhs corresponding to sublists that match patt.

Wolfram Language

reference.wolfram.com › language › guide › ListManipulation.html

List Manipulation - Wolfram Language Documentation

Lists are central constructs in the Wolfram Language, used to represent collections, arrays, sets, and sequences of all kinds. Lists can have any structure and size and can routinely involve even millions of elements. Well over a thousand built-in functions throughout the Wolfram Language operate ...

Stack Overflow

stackoverflow.com › questions › 8765556 › how-to-remove-the-extra-when-mapping-a-function-to-a-list

wolfram mathematica - How to remove the extra {} when Mapping a function to a list - Stack Overflow

Top answer

1 of 5

14

You need Apply at Level 1 or its short form, @@@

foo@@@lst    
{foo[a, b], foo[c, d], foo[e, f]}

2 of 5

7

One possible way is to change head of each element of lst from List to foo:

foo @@ # & /@ lst
{foo[a, b], foo[c, d], foo[e, f]}

Wolfram Language

reference.wolfram.com › language › ref › SequenceCount.html

SequenceCount - Wolfram Language Documentation

In SequenceCount[list,patt], patt can be an expression with head List that includes pattern constructs such as PatternSequence, Repeated (..), Blank (_), and BlankSequence (__).

Wolfram|Alpha

wolframalpha.com › examples › IntegerSequences.html

Alpha Examples: Integer Sequences

What can you ask Wolfram|Alpha about

Wolfram Language

reference.wolfram.com › language › guide › IntegerSequences.html.en

Integer Sequences—Wolfram Documentation

The symbolic character of the Wolfram Language makes possible a uniquely coherent approach to integer sequences, integrating functional forms, equations, generating functions, and explicit lists of values. Powerful new algorithms developed at Wolfram Research make possible recognition of functional forms for an extremely wide range of classes of integer sequences.

Wolfram Language

reference.wolfram.com › language › guide › RearrangingAndRestructuringLists.html

Rearranging & Restructuring Lists—Wolfram Documentation

The Wolfram Language encapsulates in a small number of functions vast flexibility in rearranging lists with any structure and any number of elements. Flatten — flatten out any sequence of levels in a nested list

Wolfram Language

reference.wolfram.com › language › ref › SequencePosition.html

SequencePosition—Wolfram Documentation

SequencePosition[list, sublist] gives a list of the starting and ending positions at which sublist appears in list. SequencePosition[list, patt] gives all positions at which sequences matching patt occur in list.