If is a random variable and is its probability density function, then .

The cumulative distribution function of a continuous random variable is continuous.

If are two events, then .

For conditional probability .

If are events, then occurs if at least one or the other of the two events occurs.

The rotation (curl) of is

The line integral of the vector field along the curve is

The function has a local maximum at if for any one has for .

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

The function is differentiable at if there exists a linear map such that