Substituting for the

partial derivatives [

partial derivative][[?

The mathematical investigation is necessary to determine the sign of the

partial derivative [

partial derivative]([r.

The second

partial derivatives of the magnetic X-component are

The basic task of Pade is to compute a

partial derivative at each point (learning example) P in direction [x.

This equation is shown in this form so the denominator, numerator, and the first

partial derivative of each may be readily identified.

The

Partial Derivative Settlement is subject to conditions, including final court approval.

12,14,16] is still limited due to the abovementioned problem of inaccurate boundary

partial derivatives.

whose elements are the

partial derivatives of [PHI] with respect to the states x.

However, as these

partial derivatives require continuous action functions, then there pass multiple virtual trajectories.

In taking the

partial derivative of sum (1) with respect to [[xi].

Taking the

partial derivative with respect to time we obtain

where the

partial derivatives within the parentheses are normalized by the Compton radius [r.