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can be assigned, such expressions as x2, 3x, Log. x, and Sin. x, are all functions of x. Algebraic function, a quantity whose connection with the variable is expressed by an equation that involves only the algebraic operations of addition, subtraction, multiplication, division, raising to a given power, and extracting…

characterized by, clear and impressive description; vivid; as, a gruphic writer. Graphic algebra, a branch of algebra in which, the properties of equations are treated by the use of curves and straight lines. -- Graphic arts, a name given to those fine arts which pertain to the representation on a fiat surface of nat…

dity. Fleming. Identical equation (Alg.), an equation which is true for all values of the algebraic symbols which enter into it.

n. Imaginary calculus See under Calculus. -- Imaginary expression or quantity (Alg.), an algebraic expression which involves the impossible operation of taking the square root of a negative quantity; as, sq. root-9, a + b sq. root-1. -- Imaginary points, lines, surfaces, etc. (Geom.), points, lines, surfaces, etc., i…

luding Trigonometry and Conic Sections. 3. Analysis, in which letters are used, including Algebra, Analytical Geometry, and Calculus. Each of these divisions is divided into pure or abstract, which considers magnitude or quantity abstractly, without relation to matter; and mixed or applied, which treats of magnitude as…

A single algebraic expression; that is, an expression unconnected with any other by the sign of addition, substraction, equality, or inequality.

Called also the Law of Dalton, from its discoverer. -- Multiple algebra, a branch of advanced mathematics that treats of operations upon units compounded of two or more unlike units. -- Multiple conjugation (Biol.), a coalescence of many cells (as where an indefinite number of amoeboid cells flow together into a sing…

, quantities, etc. Esp., the system of figures, letters, and signs used in arithmetic and algebra to express number, quantity, or operations.

Shoots invisible virtue even to the deep. Milton. A penetration into the difficulties of algebra. Watts.

s required to be done; as, in geometry, to bisect a line, to draw a perpendicular; or, in algebra, to find an unknown quantity.

hen the area limited by a curve can be exactly found, and expressed in a finite number of algebraic terms.

That branch of algebra which treats of quadratic equations.

A homogeneous algebraic function of two or more variables, in general containing only positive integral powers of the variables, and called quadric, cubic, quartic, etc., according as it is of the second, third, fourth, fifth, or a higher degree. These are further called binary, ternary, quaternary, etc., according as…

in space, considered as depending on four geometrical elements, and as expressible by an algebraic symbol of quadrinomial form.

tgen ray; -- so called by its discoverer because of its enigmatical character, x being an algebraic symbol for an unknown quantity.

cimal (Math.), a circulating decimal. See under Decimal. -- Recurring series (Math.), an algebraic series in which the coefficients of the several terms can be expressed by means of certain preceding coefficients and constants in one uniform manner.

not clerical. I speak of folk in secular estate. Chaucer. Secular equation (Astron.), the algebraic or numerical expression of the magnitude of the inequalities in a planet's motion that remain after the inequalities of a short period have been allowed for. -- Secular games (Rom. Antiq.), games celebrated, at long but…

Susceptible of being solved; as, a soluble algebraic problem; susceptible of being disentangled, unraveled, or explained; as, the mystery is perhaps soluble. "More soluble is this knot." Tennyson.

ble manifestation of the heart or moral nature; inherent power or goodness. That he wants algebra he must confess; But not a soul to give our arms success. Young.

al to the whole. Gladstone. A large sheet of paper . . . covered with long sums. Dickens. Algebraic sum, as distinguished from arithmetical sum, the aggregate of two or more numbers or quantities taken with regard to their signs, as + or -, according to the rules of addition in algebra; thus, the algebraic sum of -2, 8…