curvature-methods function

Curvature Properties

Determine if an expression is constant, affine, convex, concave, quadratic, piecewise linear (pwl), or quadratic/piecewise affine (qpwa).

is_constant(object)

is_affine(object)

is_convex(object)

is_concave(object)

is_quadratic(object)

is_pwl(object)

is_qpwa(object)

Arguments

• object: An Expression object.

Returns

A logical value.

Examples

x <- Variable()
c <- Constant(5)

is_constant(c)
is_constant(x)

is_affine(c)
is_affine(x)
is_affine(x^2)

is_convex(c)
is_convex(x)
is_convex(x^2)
is_convex(sqrt(x))

is_concave(c)
is_concave(x)
is_concave(x^2)
is_concave(sqrt(x))

is_quadratic(x^2)
is_quadratic(sqrt(x))

is_pwl(c)
is_pwl(x)
is_pwl(x^2)