Definition of Partial differential. Meaning of Partial differential. Synonyms of Partial differential

Here you will find one or more explanations in English for the word Partial differential. Also in the bottom left of the page several parts of wikipedia pages related to the word Partial differential and, of course, Partial differential synonyms and on the right images related to the word Partial differential.

Definition of Partial differential

Partial differential
Differential Dif`fer*en"tial, n. 1. (Math.) An increment, usually an indefinitely small one, which is given to a variable quantity. Note: According to the more modern writers upon the differential and integral calculus, if two or more quantities are dependent on each other, and subject to increments of value, their differentials need not be small, but are any quantities whose ratios to each other are the limits to which the ratios of the increments approximate, as these increments are reduced nearer and nearer to zero. 2. A small difference in rates which competing railroad lines, in establishing a common tariff, allow one of their number to make, in order to get a fair share of the business. The lower rate is called a differential rate. Differentials are also sometimes granted to cities. 3. (Elec.) (a) One of two coils of conducting wire so related to one another or to a magnet or armature common to both, that one coil produces polar action contrary to that of the other. (b) A form of conductor used for dividing and distributing the current to a series of electric lamps so as to maintain equal action in all. --Knight. Partial differential (Math.), the differential of a function of two or more variables, when only one of the variables receives an increment. Total differential (Math.), the differential of a function of two or more variables, when each of the variables receives an increment. The total differential of the function is the sum of all the partial differentials.

Meaning of Partial differential from wikipedia

- In mathematics, a partial differential equation (PDE) is an equation which computes a function between various partial derivatives of a multivariable function...
- term partial differential equation, which may be with respect to more than one independent variable. Linear differential equations are the differential equations...
- In mathematics, a hyperbolic partial differential equation of order n{\displaystyle n} is a partial differential equation (PDE) that, roughly speaking...
- variables are allowed to vary). Partial derivatives are used in vector calculus and differential geometry. The partial derivative of a function f(x,y,…){\displaystyle...
- and parabolic partial differential equations, zeros of the prin****l symbol correspond to the characteristics of the partial differential equation. In...
- A parabolic partial differential equation is a type of partial differential equation (PDE). Parabolic PDEs are used to describe a wide variety of time-dependent...
- Second-order linear partial differential equations (PDEs) are classified as either elliptic, hyperbolic, or parabolic. Any second-order linear PDE in two...
- See also Nonlinear partial differential equation, List of partial differential equation topics and List of nonlinear ordinary differential equations....
- of partial differential equation topics. Partial differential equation Nonlinear partial differential equation list of nonlinear partial differential equations...
- In mathematics and physics, a nonlinear partial differential equation is a partial differential equation with nonlinear terms. They describe many different...