Definition of Exponen. Meaning of Exponen. Synonyms of Exponen
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Definition of Exponen
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Exponent Exponent Ex*po"nent, n. [L. exponens, -entis, p. pr. of
exponere to put out, set forth, expose. See Expound.]
1. (Alg.) A number, letter, or any quantity written on the
right hand of and above another quantity, and denoting how
many times the latter is repeated as a factor to produce
the power indicated;
Note: thus a^2 denotes the second power, and a^n the xth
power, of a (2 and x being the exponents). A fractional
exponent, or index, is used to denote the root of a
quantity. Thus, a^1/3 denotes the third or cube root
of a.
2. One who, or that which, stands as an index or
representative; as, the leader of a party is the exponent
of its principles.
Exponent of a ratio, the quotient arising when the
antecedent is divided by the consequent; thus, 6 is the
exponent of the ratio of 30 to 5. [R.]
Exponent of a ratio Exponent Ex*po"nent, n. [L. exponens, -entis, p. pr. of
exponere to put out, set forth, expose. See Expound.]
1. (Alg.) A number, letter, or any quantity written on the
right hand of and above another quantity, and denoting how
many times the latter is repeated as a factor to produce
the power indicated;
Note: thus a^2 denotes the second power, and a^n the xth
power, of a (2 and x being the exponents). A fractional
exponent, or index, is used to denote the root of a
quantity. Thus, a^1/3 denotes the third or cube root
of a.
2. One who, or that which, stands as an index or
representative; as, the leader of a party is the exponent
of its principles.
Exponent of a ratio, the quotient arising when the
antecedent is divided by the consequent; thus, 6 is the
exponent of the ratio of 30 to 5. [R.]
Exponential Exponential Ex`po*nen"tial, a. [Cf. F. exponentiel.]
Pertaining to exponents; involving variable exponents; as, an
exponential expression; exponential calculus; an exponential
function.
Exponential curve, a curve whose nature is defined by means
of an exponential equation.
Exponential equation, an equation which contains an
exponential quantity, or in which the unknown quantity
enters as an exponent.
Exponential quantity (Math.), a quantity whose exponent is
unknown or variable, as a^x.
Exponential series, a series derived from the development
of exponential equations or quantities.
Exponential calculus Calculus Cal"cu*lus, n.; pl. Calculi. [L, calculus. See
Calculate, and Calcule.]
1. (Med.) Any solid concretion, formed in any part of the
body, but most frequent in the organs that act as
reservoirs, and in the passages connected with them; as,
biliary calculi; urinary calculi, etc.
2. (Math.) A method of computation; any process of reasoning
by the use of symbols; any branch of mathematics that may
involve calculation.
Barycentric calculus, a method of treating geometry by
defining a point as the center of gravity of certain other
points to which co["e]fficients or weights are ascribed.
Calculus of functions, that branch of mathematics which
treats of the forms of functions that shall satisfy given
conditions.
Calculus of operations, that branch of mathematical logic
that treats of all operations that satisfy given
conditions.
Calculus of probabilities, the science that treats of the
computation of the probabilities of events, or the
application of numbers to chance.
Calculus of variations, a branch of mathematics in which
the laws of dependence which bind the variable quantities
together are themselves subject to change.
Differential calculus, a method of investigating
mathematical questions by using the ratio of certain
indefinitely small quantities called differentials. The
problems are primarily of this form: to find how the
change in some variable quantity alters at each instant
the value of a quantity dependent upon it.
Exponential calculus, that part of algebra which treats of
exponents.
Imaginary calculus, a method of investigating the relations
of real or imaginary quantities by the use of the
imaginary symbols and quantities of algebra.
Integral calculus, a method which in the reverse of the
differential, the primary object of which is to learn from
the known ratio of the indefinitely small changes of two
or more magnitudes, the relation of the magnitudes
themselves, or, in other words, from having the
differential of an algebraic expression to find the
expression itself.
Exponential curve Exponential Ex`po*nen"tial, a. [Cf. F. exponentiel.]
Pertaining to exponents; involving variable exponents; as, an
exponential expression; exponential calculus; an exponential
function.
Exponential curve, a curve whose nature is defined by means
of an exponential equation.
Exponential equation, an equation which contains an
exponential quantity, or in which the unknown quantity
enters as an exponent.
Exponential quantity (Math.), a quantity whose exponent is
unknown or variable, as a^x.
Exponential series, a series derived from the development
of exponential equations or quantities.
Exponential equation Exponential Ex`po*nen"tial, a. [Cf. F. exponentiel.]
Pertaining to exponents; involving variable exponents; as, an
exponential expression; exponential calculus; an exponential
function.
Exponential curve, a curve whose nature is defined by means
of an exponential equation.
Exponential equation, an equation which contains an
exponential quantity, or in which the unknown quantity
enters as an exponent.
Exponential quantity (Math.), a quantity whose exponent is
unknown or variable, as a^x.
Exponential series, a series derived from the development
of exponential equations or quantities.
Exponential quantity Exponential Ex`po*nen"tial, a. [Cf. F. exponentiel.]
Pertaining to exponents; involving variable exponents; as, an
exponential expression; exponential calculus; an exponential
function.
Exponential curve, a curve whose nature is defined by means
of an exponential equation.
Exponential equation, an equation which contains an
exponential quantity, or in which the unknown quantity
enters as an exponent.
Exponential quantity (Math.), a quantity whose exponent is
unknown or variable, as a^x.
Exponential series, a series derived from the development
of exponential equations or quantities.
Exponential series Exponential Ex`po*nen"tial, a. [Cf. F. exponentiel.]
Pertaining to exponents; involving variable exponents; as, an
exponential expression; exponential calculus; an exponential
function.
Exponential curve, a curve whose nature is defined by means
of an exponential equation.
Exponential equation, an equation which contains an
exponential quantity, or in which the unknown quantity
enters as an exponent.
Exponential quantity (Math.), a quantity whose exponent is
unknown or variable, as a^x.
Exponential series, a series derived from the development
of exponential equations or quantities.
