Sentence examples for cross derivatives from inspiring English sources

Take this force, write it now in terms of x and y, take the cross derivatives and you can see it's conservative.

In particular, the cross derivatives in the elasticity equations are difficult to handle for complex interface geometries.

Professor Ramamurti Shankar: Right, we know that for every function U the cross derivatives are equal but the ordinary derivatives are just the Fx and Fy; therefore, d2U over dydx is really d by dy of Fx.

Then, it has the right pedigree to be a conservative force because if a force came from a function U by taking derivatives, the simple requirement of the cross derivatives are equal for any function U tells me.

The neglected terms are related to the cross derivatives and, in general, are neglected to produce the same Jacobian stencil as when Cartesian grids are employed.

This work presents an investigation of the effect of cross derivatives in discretization schemes using structured non-orthogonal boundary-fitted meshes in conjunction with a compositional reservoir simulator.

If you've never seen this before, you will notice that the cross derivative, y followed by x and x followed by y, will come up being equal.

A number of new techniques have been developed to construct efficient MIB elasticity interface schemes for dealing with cross derivative in coupled governing equations.

The governing equations for the option prices are seen to resemble the diffusion type equations but with cross derivative terms, a feature which differs from the usual diffusion equations in engineering.

The stability condition implies that the absolute value of the cross derivative of the response function is less than 1; that is |∂X1/∂X2|,  |∂X2/∂X1| < 1.

The conventional cross derivative ((partial_{xy} u)_{I,i,j}) was found to be intrinsically isotropic according to the criterion developed by Kumar [22].