Function Repository Resource:

FoldThreadList

Source Notebook

Perform a folding operation parsing multiple arguments

Contributed by: Sander Huisman

ResourceFunction["FoldThreadList"][f,x ,{{a₁,a₂,…},{b₁,b₂,…},…}]

gives {x, f[x,a₁,b₁,…], f[f[x,a₁,b₂,…], a₂,b₁, …], …}.

ResourceFunction["FoldThreadList"][f,{{a₁,a₂,…},{b₁,b₂,…},…}]

gives {{a₁,b₁,…},f[{a₁,b₁,…},a₂,b₂,…],f[f[{a₁,b₁,…},a₂,b₂,…],a₃,b₃,…],…}.

ResourceFunction["FoldThreadList"][f]

represents an operator form of ResourceFunction["FoldThreadList"] that can be applied to expressions.

Details and Options

ResourceFunction["FoldThreadList"][f][list] is equivalent to ResourceFunction["FoldThreadList"][f,list].

ResourceFunction["FoldThreadList"][f][x,list] is equivalent to ResourceFunction["FoldThreadList"][f,x,list].

Examples

Basic Examples

Fold a function over lists, threading the elements:

In[1]:=

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Scope

Without an initializer, the first elements of list is the initializer:

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Make an operator:

In[3]:=

Feed a list of lists:

In[4]:=

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Applications

First integrate x from 0 to 2, then y from 0 to 2, then z from 0 to 2:

In[5]:=

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Create a continued fraction with different numerators:

In[6]:=

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Properties and Relations

FoldList and FoldThreadList are related for the case in which a single argument is folded in:

In[7]:=

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Resource History

Date Created: 25 November 2019

Related Resources

License Information

This work is licensed under a Creative Commons Attribution 4.0 International License