Total Derivative


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Total Derivative

 

The total derivative with respect to t of the function y = F(t, x1, …, xn), where x1, …, xn are functions of t, is

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Table 6 shows that total derivative coefficient is positive and significant at p-value of less than 0.01.
The Structure Method of the Total Derivative of Several Variables Composite Functions
H1C: Revenue of non-hedge derivatives relative to total derivative revenue .006 .232 .633 does not affect value of the stock beta.
(2007) samples represent only 14% of the total derivative transactions in our sample (87 plus 203 divided by 2,042).
Consider the composite function f (x(t), y(t)) and assume that we need to take the partial derivative with respect to [??](t) of the 3rd-order total derivative of the function.
A Lagrangian L(t,x(t),[??](t),[??](t)), t [member of] [R.sub.+], is a null one if and only if it is a total derivative.
The forth method called First-Order Euler-Lagrange (FOEL) formalism, which is generalization of Bogomolnyi decomposition using a concept of strong necessary condition developed in [22], which works by adding and solving a total derivative term into the Lagrangian [23] (in our opinion the procedure looks similar to the On-Shell method by means that adding total derivative terms into the Lagrangian is equivalent to introducing auxiliary fields in the Euler-Lagrange equations.
where D is the total derivative operator acting by the rule
The flow equation (7) is then generalised to, with d/dt = = [partial derivative]/[partial derivative]t + v x [nabla] the Euler fluid or total derivative,
Then one builds a complex covariant total derivative that reads in the simplest case (spinless particle, nonrelativistic velocities and no external field) [1, 2, 3]

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