The fact that twice applying a type of this operation always yields zero can be intuitively understood as "the boundary of a boundary is nothing"; that type of this operation gives an "n plus one" form for an n-form and is the exterior type.
The fact that twice applying a type of this operation always yields zero can be intuitively understood as "the boundary of a boundary is nothing"; that type of this operation gives an "n plus one" form for an n-form and is the exterior type. A matrix containing values to which this operation is applied is used for a change of variables via the substitution rule and is the Jacobian. The dot product of the gradient with a unit vector de⢸nes the directional type of this operation. A composition of functions requires the chain rule in order to perform this operation, which is de⢸ned as the limit as h goes to zero of the difference quotient "f of x plus h" minus "f of x" all over h. For 10 points, what calculus operation gives the rate of change of a variable?
The fact that twice applying a type of this operation always yields zero can be intuitively understood as "the boundary of a boundary is nothing"; that type of this operation gives an "n plus one" form for an n-form and is the exterior type.
derivative [or obvious equivalents such as differentiation; or exterior derivative until "change of variables" is read]