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maginary dimension. Space of five or six, or more dimensions is also sometimes assumed in mathematics.

dissolution of continuity; gaping. "Discontinuous wound." Milton. Discontinuous function (Math.), a function which for certain values or between certain values of the variable does not vary continuously as the variable increases. The discontinuity may, for example, consist of an abrupt change in the value of the functi…

great safeguard of all other liberties. Macaulay. Discussion of a problem or an equation (Math.), the operation of assigning different reasonable values to the arbitrary quantities and interpreting the result. Math. Dict.

her, every; a distributive numeral, as (Latin) bini (two by two). Distributive operation (Math.), any operation which either consists of two or more parts, or works upon two or more things, and which is such that the result of the total operation is the same as the aggregated result of the two or more partial operation…

isagreeing from something given; differing; as, a divergent statement. Divergent series. (Math.) See Diverging series, under Diverging.

different directions from a common center; spreading apart; divergent. Diverging series (Math.), a series whose terms are larger as the series is extended; a series the sum of whose terms does not approach a finite limit when the series is extended indefinitely; -- opposed to a converging series.

ation of the cell contents into two masses, called the daughter cells. -- Long division (Math.), the process of division when the operations are mostly written down. -- Short division (Math.), the process of division when the operations are mentally performed and only the results written down; -- used principally whe…

The number by which the dividend is divided. Common divisor. (Math.) See under Common, a.

A degree of the first class both in classics and mathematics.

Double. Duple ratio (Math.), that in which the antecedent term is double the consequent, as of 2 to 1, 8 to 4, etc.

Double; twofold. Duplicate proportion or ratio (Math.), the proportion or ratio of squares. Thus, in geometrical proportion, the first term to the third is said to be in a duplicate ratio of the first to the second, or as its square is to the square of the second. Thus, in 2, 4, 8, 16, the ratio of 2 to 8 is a duplicat…

neous action; as, the duplication of cartilage cells. Carpenter. Duplication of the cube (Math.), the operation of finding a cube having a volume which is double that of a given cube.

Eatable growth of grass for horses and cattle, esp. that of aftermath.

Aftermath; also, stubble and stubble field. See Arrish. [Eng.]

Elliptic compasses, an instrument arranged for drawing ellipses. -- Elliptic function. (Math.) See Function. -- Elliptic integral. (Math.) See Integral. -- Elliptic polarization. See under Polarization.

uniformly in a circle, and its place as moving in an ellipse. -- Equations of condition (Math.), equations formed for deducing the true values of certain quantities from others on which they depend, when different sets of the latter, as given by observation, would yield different values of the quantities sought, and t…

ng equal angles; as, an equiangular figure; a square is equiangular. Equiangular spiral. (Math.) See under Spiral, n. -- Mutually equiangular, applied to two figures, when every angle of the one has its equal among the angles of the other.

Producing mathematically perfect harmony or concord; sweetly or perfectly harmonious.

Pertaining Euler, a German mathematician of the 18th century. Eulerian integrals, certain definite integrals whose properties were first investigated by Euler.

s, laudable actions, or acquirements; to be distinguished by superiority; as, to excel in mathematics, or classics. Unstable as water, thou shalt not excel. Gen. xlix. 4. Then peers grew proud in horsemanship t' excel. Pope.