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To expound; to explain; also, to expose; to imperil. [Old Eng. & Scotch] Drummond.

ho, 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.]

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 unkno…

e 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.…

State as indicated by sum of exponents; more particularly, the degree of a term is indicated by the sum of the exponents of its literal factors; thus, a2b2c is a term of the sixth degree. The degree of a power, or radical, is denoted by its index, that of an equation by the greatest sum of the exponents of the unknown…

mial equation; a quadratic equation; an algebraic equation; a transcendental equation; an exponential equation; a logarithmic equation; a differential equation, etc.

other lines. See Trigonometrical function (below). Other transcendental functions are the exponential functions, the elliptic functions, the gamma functions, the theta functions, etc. -- One-valued function, a quantity that has one, and only one, value for each value of the variable. -- Transcendental functions, a qu…

rms proceed by the powers of an indeterminate quantity, sometimes also with indeterminate exponents, or indeterminate coefficients. -- In`de*ter"mi*nate*ly adv. -- In`de*ter"mi*nate*ness, n.

The figure or letter which shows the power or root of a quantity; the exponent. [In this sense the plural is always indices.] Index error, the error in the reading of a mathematical instrument arising from the zero of the index not being in complete adjustment with that of the limb, or with its theoretically perfect po…

Having exponents which are radical quantities; -- said of certain powers; as, xsq. root2, or xsq. roota. Interscedent series, a series whose terms are interscendent quantities. Hutton.

ly increases. The trigonomertic functions, as sin x, tan x, etc., are periodic functions. Exponential functions are also periodic, having an imaginary period, and the elliptic functions have not only a real but an imaginary period, and are hence called doubly periodic. -- Periodic law (Chem.), the generalization that…

ion of the world; -- contrasted with intellectualism. Schopenhauer and Fichte are typical exponents of the two types of metaphysical voluntarism, Schopenhauer teaching that the evolution of the universe is the activity of a blind and irrational will, Fichte holding that the intelligent activity of the ego is the fundam…