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# partial differential

## noun

*Mathematics.*

- an expression obtained from a given function of several variables by taking the partial derivative with respect to one of the variables and multiplying by the increment in that variable.

## Word History and Origins

Origin of partial differential^{1}

## Example Sentences

Previous neuroscience has come up with partial differential equations to describe neural behavior, and the team used these equations to calculate what the neurons would do when given thousands of randomly generated possible inputs.

Now researchers have built new kinds of artificial neural networks that can approximate solutions to partial differential equations orders of magnitude faster than traditional PDE solvers.

He majored in mathematical physics, studying mind-bending theories of quantum mechanics and partial differential equations.

It may, therefore, be said that without these theories we should not know partial differential equations.

Sometimes the symbols d or ∂ are dropped, and the partial differential coefficient is denoted by ux or ƒx.

The most important theorem in regard to partial differential coefficients is the theorem of the total differential.

Partial differential coefficients of the second order are important in geometry as expressing the curvature of surfaces.

Partial differential coefficients of the second and higher Interchange of order of differentiations.

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