The natural analog of second, third, and higher-order total derivatives is not a linear transformation, is not a function on the tangent bundle, and is not built by repeatedly taking the total derivative.
32.
The natural analog of second, third, and higher-order total derivatives is not a linear transformation, is not a function on the tangent bundle, and is not built by repeatedly taking the total derivative.
33.
The total derivative differs from the partial time derivative in that the total derivative accounts for changes in "'a "'due to the time variance of the variables " q " " r ".
34.
The total derivative differs from the partial time derivative in that the total derivative accounts for changes in "'a "'due to the time variance of the variables " q " " r ".
35.
Calculation of the total derivative of f with respect to t does not assume that the other arguments are constant while t varies; instead, it allows the other arguments to depend on t.
36.
The losers have been the futures exchanges, which have seen their volumes fall, even as total derivatives holdings increased, according to data compiled by the Futures Industry Association and the Comptroller of the Currency.
37.
Where is Planck's reduced constant, the imaginary unit, and partial derivatives ( denoted by \ partial ) are used instead of a total derivative ( ) since the wave function is also a function of time.
38.
Note that, unlike for the General Relativity field equations, the \ delta R _ { ab } / \ delta g _ { cd } term does not vanish, as the result is not a total derivative.
39.
Thus by omitting the variable " z " from the regression, we have estimated the total derivative of " y " with respect to " x " rather than its partial derivative with respect to " x ".
40.
In order to derive this, let M ( x ) be the integrating factor of a first order, linear differential equation such that multiplication by M ( x ) transforms a partial derivative into a total derivative, then:
