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.

First recorded in 1810–20

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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