Curry the second argument of a function of two arguments:

Curry a function of three arguments, keeping their order:

This is a curried form of Integrate that curries two integration variables:

Apply it to a function of variables and :

That is equivalent to:

Curry the second argument of a function:

Apply the operator:

Curry a function of 3 arguments, keeping their order:

Curry a function of 3 arguments, applying a permutation before they are passed to the function:

These are curried operators taking 4 arguments, but only 2 of them are passed to the function f:

Use arguments of the curried operator with any bracketing structure:

Curry Level with default option values:

Pass options to Level:

Curry Composition of 3 functions:

Feed the 3 functions sequentially:

Apply the composition to an expression:

Specify how many arguments are functions to be composed:

Use Curry to construct the opposite order of a given ordering function:

Build an array of subscripted variables:

Build the K and S combinators using Curry:

The combinations SKK and SKS are equivalent to the identity:

Build the B and C combinators using S and K:

Curry[f] is equivalent to Curry[f,{2,1}]:

For a function of zero arguments, Curry[f,0] returns f[]:

If additional arguments are provided, the empty pair of brackets is still inserted:

Curry Curry itself:

Compare to Construct:

For positive n, Curry[Construct,n][f] is equivalent to Curry[f,n-1]:

The relation also holds for n=1:

Compose two Curry operators with a permutation and its inverse:

The result is equivalent to using Curry without reordering the arguments:

Take two permutation lists of the same length:

Compose the corresponding Curry operators:

Alternatively, use Curry with their permutation product, in the same order: