partial differential

American  

noun

Mathematics.

1. 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.

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Etymology

Origin of partial differential

First recorded in 1810–20

Example Sentences

By incorporating functional analysis and partial differential equation theory from mathematical analysis, this study extends previous investigations on two-dimensional fluid flows to encompass three-dimensional fluid dynamics with axial symmetry conditions.

From Science Daily • Sep. 29, 2023

Many of Caffarelli’s most celebrated results have to do with the regularity — or lack thereof — of the solutions of so-called partial differential equations.

From Scientific American • Mar. 23, 2023

“Few other living mathematicians have contributed more to our understanding of partial differential equations than the Argentinian–American Luis Caffarelli,” the Abel Prize committee announced in a news release on Wednesday.

From New York Times • Mar. 22, 2023

The sage speaking here is Anna Kiesenhofer, the Austrian mathematician specializing in partial differential equations and symplectic geometry who stunned world cycling by winning the gold in the Olympic road race on Sunday.

From Slate • Jul. 29, 2021

Examples: d2z = g: ydx + xdy + zdz = 0. dt2 An ordinary differential equation involves only one independent variable, a partial differential equation involves more than one.

From The New Gresham Encyclopedia Volume 4, Part 1: Deposition to Eberswalde by Various