In order to cancel out the second unwanted term, one introduces a new derivative operator \ mathcal { D } _ \ mu that is covariant.
22.
Let us now imagine a Lorentz transformation to have been performed on the space and time coordinates, and on the derivative operators, which form a covariant vector.
23.
By accounting for all particles, the left side becomes an integral over the entire body, and the second derivative operator can be moved out of the integral, so
24.
He attended the APL79 conference in Rochester, New York, where Iverson gave two papers : " The Role of Operators in APL " and " The Derivative Operator ".
25.
With \ partial _ t the partial derivative operator with respect to time, and similarly \ partial _ x and \ partial _ z with respect to x and z.
26.
*In vector expressions for the gradient ", with respect to a given basis, the basis vectors should be " in front " of the derivative operators.
27.
However, the division-like notation is useful because in many situations, the derivative operator does behave like a division, making some results about derivatives easy to obtain and remember.
28.
*PM : derivative operator is unbounded in the sup norm, id = 7732 new !-- WP guess : derivative operator is unbounded in the sup norm-- Status:
29.
*PM : derivative operator is unbounded in the sup norm, id = 7732 new !-- WP guess : derivative operator is unbounded in the sup norm-- Status:
30.
The fundamental derivative operator in Clifford algebra of Complex numbers is defined as \ nabla \ equiv \ sigma _ 1 \ partial _ x + \ sigma _ 2 \ partial _ y.
