Definition of Total differential. Meaning of Total differential. Synonyms of Total differential

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

Definition of Total differential

Total 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 Total differential from wikipedia

- In mathematics, an exact differential equation or total differential equation is a certain kind of ordinary differential equation which is widely used...
- differential represents the prin****l part of the change in a function y = f(x) with respect to changes in the independent variable. The differential...
- function Differential algebra Differential calculus Differential of a function, represents a change in the linearization of a function Total differential is...
- function. An exact differential is sometimes also called a 'total differential', or a 'full differential', or, in the study of differential geometry, it is...
- is called the (total) derivative or (total) differential of f {\displaystyle f} at a {\displaystyle a} . Other notations for the total derivative include...
- function. The total differential is its generalization for functions of multiple variables. In traditional approaches to calculus, the differentials (e.g. dx...
- Boolean differential calculus (BDC) (German: Boolescher Differentialkalkül (BDK)) is a subject field of Boolean algebra discussing changes of Boolean variables...
- definition is fundamental in differential geometry and has many uses – see pushforward (differential) and pullback (differential geometry). Differentiation...
- In mathematics, an ordinary differential equation (ODE) is a differential equation containing one or more functions of one independent variable and the...
- A differential is a gear train with three shafts that has the property that the rotational speed of one shaft is the average of the speeds of the others...