Successively apply a function that returns a pair to a seed u and the elements of a list, returning the first element of the pair:

Successively apply a function that returns a pair to a seed u and the elements of a list, then applying function g to the pair:

Provide the seed and the list of elements as a single list, having the seed as first element:

List can be used as the function that returns a pair:

Partition a list into sublists of different lengths:

Break an amount of money into bills of given values:

Return both the quotients and the remainders at each step:

Use a list in the third argument:

Use an arbitrary head in the third argument:

By default, FoldPairList returns only the first elements of the pairs:

Use FoldPairList with fourth argument Last to get the second element of the successive pairs:

Use Throw to exit a FoldPairList:

For each element of a list, return True if it is larger than all previous ones, and False otherwise:

A discrete-time state-space system is represented using a state equation and output equation . Simulate such a system to get the outputs :

Return the seed and all but the last elements of the third argument:

Return the list in the third argument:

Find dimensions of an array up to level 3:

FoldPair returns the last element of the list returned by FoldPairList:

FoldPairList returns one element less than FoldList:

The function in the first argument of FoldPairList must return a pair of expressions:

FoldPairList[f,y₀,{}] returns an empty list, with no last element:

Therefore FoldPair[f,y₀,{}] stays unevaluated: