The function is called the cumulative distribution function of the random variable .

The function is called the cumulative distribution function of the random variable .

If , then .

For any two events and one has .

If are events, then occurs if both events occur.

The rotation (curl) of is

The line integral of the scalar field along the curve is

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

The directional derivative of a function in the direction can be calculated as

If the function is differentiable at , then it is also continuous at .