Definition of power in mathematical terms

Functions are also called maps or mappings. Compare energywork. This made it easy for anyone to measure the standard, as high-purity platinum was widely available and easily prepared. When you achieve it, there is nothing there —Harold Macmillan, Parade, July 7, Like wealth and power, prestige tends to be cumulative: One of the best-known of these was the English standard of candlepower.

The third power of 2 is 8. In either case, the expression usually suggests the unexpected or unfair use of authority in resolving a dilemma or in demanding submission. Therefore, in common usage, the function is generally distinguished from its graph. A power microscope can magnify something times.

Thus ten to the sixth power, orequals one million. For there is no power but of God: Typically, this occurs in mathematical analysiswhere "a function from X to Y " often refers to a function that may have a proper subset of X as domain.

For example, if f is a function that has the real numbers as domain and codomain, then a function mapping the value x to the value g.

Physics The rate at which work is done with respect to time, measured in units such as watts or horsepower. Intuitively, a function is a process that associates to each element of a set X a unique element of a set Y.

These were typically based on the brightness of the flame from a "standard candle" of defined composition, or the brightness of an incandescent filament of specific design. A number that represents the magnification of an optical instrument, such as a microscope or telescope.

Two other reasons, also sufficient by themselves, is that neither 3 nor 4 are first elements input of any ordered pair therein. Mathematics The number of times a number or an expression is multiplied by itself, as shown by an exponent.

This expression derives from the blaring sound effects that opened a radio program called Gangbusters. The decision was promulgated by the CIPM in The domain and codomain are not always explicitly given when a function is defined, and, without some possibly difficult computation, one knows only that the domain is contained in a larger set.

Function (mathematics)

Origin[ edit ] Prior tovarious standards for luminous intensity were in use in a number of countries. Formally speaking, it may be identified with the function, but this hides the usual interpretation of a function as a process. Wright Mills Made him fetch and carry just as if he was a great Newfoundland dog —William Makepeace Thackeray But her looks have no power over me … like a tug on a tree on a limb that has lost feeling —William Getz Once a man of power, always a man of power.

The energy by which a machine or system is operated: The term is now also applied to civilians, particularly in describing certain employeremployee interactions.

Power an abundance; a body of armed men; a fighting force; a large quantity, a great number—Johnson, These included the sounds of marching feet, machine-gun fire, and a screaming siren. In the 13th CGPM removed the term "new candle" and gave an amended version of the candela definition, specifying the atmospheric pressure applied to the freezing platinum: One reason is that 2 is the first element in more than one ordered pair, 2, B and 2, Cof this set.

In the definition of function, X and Y are respectively called the domain and the codomain of the function f.

The luminous intensity of light-emitting diodes is measured in millicandelas mcdor thousandths of a candela. Germany, Austria and Scandinavia used the Hefnerkerzea unit based on the output of a Hefner lamp.

This phrase is Biblical in origin. For example, a "function from the reals to the reals" may refer to a real-valued function of a real variableand this phrase does not mean that the domain of the function is the whole set of the real numbersbut only that the domain is a set of real numbers that contains a non-empty open interval.

Although the candela is now defined in terms of the second an SI base unit and the watt a derived SI unitthe candela remains a base unit of the SI system, by definition. If x, y belongs to the set defining f, then y is the image of x under f, or the value of f applied to the argument x.


The set G is called the graph of the function. This expression originated in the armed forces, where one of subordinate rank must comply absolutely with the orders of a superior. However, the value of the new unit was chosen to make it similar to the earlier unit candlepower by dividing the Violle by However, some authors [5] reserve the word mapping to the case where the codomain Y belongs explicitly to the definition of the function.

The light intensity was due to the Planck radiator a black body effect, and was thus independent of the construction of the device.In mathematics, a function was originally the idealization of how a varying quantity depends on another quantity.

For example, the position of a planet is a function of time. Historically, the concept was elaborated with the infinitesimal calculus at the end of the 17th century, and, until the 19th century, the functions that were considered were. 2. (Mathematics) (functioning as singular or plural) mathematical operations and processes involved in the solution of a problem or study of some scientific field.

the operator of an automobile the operator of a nuclear power plant Call the operator for the phone number. Operator, please connect me with extension She's quite an operator—no one else could have gotten them all to agree to the project.

b. The military strength or economic or political influence of a nation or other group: That country projects its power throughout the region. The candela (/ k æ n ˈ d ɛ l ə / or / k æ n ˈ d iː l ə /; symbol: cd) is the base unit of luminous intensity in the International System of Units (SI); that is, luminous power per unit solid angle emitted by a point light source in a particular direction.

Luminous intensity is analogous to radiant intensity, but instead of simply adding up the contributions of .

Definition of power in mathematical terms
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