If the differentiable function has a local maximum or a local minimum at , then

In a vector sequence is divergent if and only if at least one of its coordinate sequences is divergent.

The exponential distribution with parameter is the discrete probability distribution with possible values and probabilities

The integral of a scalar field on the parametrized surface

If is a potential function of the vector field , the starting point of a curve is and the ending point is , then

If is a critical point of the function and the principal minors of the Hessian are and , then has a local minimum at .

In an orthogonal system the vectors are all unit vectors and orthogonal to each other.

The cumulative density function of the continuous uniform distribution is

• , if ,
• , if ,
• , if .

If is a parametrized surface, then its area is

The line integral of the scalar field along the curve is