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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.

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.

- Differential may refer to: Differential (mathematics) comprises multiple related meanings of the word, both in calculus and differential geometry, such...

- In mathematics, a differential equation is an equation that relates one or more functions and their derivatives. In applications, the functions generally...

- 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...

- In mathematics, an ordinary differential equation (ODE) is a differential equation containing one or more functions of one independent variable and the...

- Differential geometry is a mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds, using...

- Differential privacy is a system for publicly sharing information about a dataset by describing the patterns of groups within the dataset while withholding...

- In mathematics, a partial differential equation (PDE) is an equation which imposes relations between the various partial derivatives of a multivariable...

- locking differential is a mechanical component, commonly used in vehicles, designed to overcome the chief limitation of a standard open differential by essentially...

- In healthcare, a differential diagnosis (abbreviated DDx) is a method of analysis of a patient's history and physical examination to arrive at the correct...

- A Differential Global Positioning System (DGPS) is an enhancement to the Global Positioning System (GPS) which provides improved location accuracy, in...

- In mathematics, a differential equation is an equation that relates one or more functions and their derivatives. In applications, the functions generally...

- 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...

- In mathematics, an ordinary differential equation (ODE) is a differential equation containing one or more functions of one independent variable and the...

- Differential geometry is a mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds, using...

- Differential privacy is a system for publicly sharing information about a dataset by describing the patterns of groups within the dataset while withholding...

- In mathematics, a partial differential equation (PDE) is an equation which imposes relations between the various partial derivatives of a multivariable...

- locking differential is a mechanical component, commonly used in vehicles, designed to overcome the chief limitation of a standard open differential by essentially...

- In healthcare, a differential diagnosis (abbreviated DDx) is a method of analysis of a patient's history and physical examination to arrive at the correct...

- A Differential Global Positioning System (DGPS) is an enhancement to the Global Positioning System (GPS) which provides improved location accuracy, in...

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