Curvature of Composition
Determine whether a composition is non-decreasing or non-increasing in an index.
is_incr(object, idx) is_decr(object, idx) ## S4 method for signature 'Atom' is_incr(object, idx) ## S4 method for signature 'Atom' is_decr(object, idx)
object
: A Atom object.idx
: An index into the atom.A logical value.
x <- Variable() is_incr(log(x), 1) is_incr(x^2, 1) is_decr(min(x), 1) is_decr(abs(x), 1)