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, returning the last element of the pair:

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

Use a list in the third argument:

Use an arbitrary head in the third argument:

Use Throw to exit a FoldPair:

Find the last sublist of an arbitrary partition of a list:

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

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

FoldPair does not return by default the remainder of the process:

Use Last in the fourth argument to get the remainder:

Use Identity in the fourth argument to get both:

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

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

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