Definition of algebra

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Algebra (n.) A treatise on this science.

Lern More About Algebra

Transform :: Transform (v. t.) To change, as an algebraic expression or geometrical figure, into another from without altering its value..
Quantic :: Quantic (n.) 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 they contain two, three, four, or more variables; thus, the quantic / is a binary cubic..
Algebraically :: Algebraically (adv.) By algebraic process.
Unicursal :: Unicursal (a.) That can be passed over in a single course; -- said of a curve when the coordinates of the point on the curve can be expressed as rational algebraic functions of a single parameter /.
Develop :: Develop (v. t.) To change the form of, as of an algebraic expression, by executing certain indicated operations without changing the value..
Differentiate :: Differentiate (v. t.) To obtain the differential, or differential coefficient, of; as, to differentiate an algebraic expression, or an equation..
Cossical :: Cossical (a.) Of or relating to algebra; as, cossic numbers, or the cossic art..
Algebraize :: Algebraize (v. t.) To perform by algebra; to reduce to algebraic form.
Quadratics :: Quadratics (n.) That branch of algebra which treats of quadratic equations.
Quaternion :: Quaternion (n.) The quotient of two vectors, or of two directed right lines in space, considered as depending on four geometrical elements, and as expressible by an algebraic symbol of quadrinomial form..
Equation :: Equation (n.) An expression of the condition of equality between two algebraic quantities or sets of quantities, the sign = being placed between them; as, a binomial equation; a quadratic equation; an algebraic equation; a transcendental equation; an exponential equation; a logarithmic equation; a differential equation, etc..
Problem :: Problem (n.) Anything which is required to be done; as, in geometry, to bisect a line, to draw a perpendicular; or, in algebra, to find an unknown quantity..
Application :: Application (n.) Hence, in specific uses: (a) That part of a sermon or discourse in which the principles before laid down and illustrated are applied to practical uses; the moral of a fable. (b) The use of the principles of one science for the purpose of enlarging or perfecting another; as, the application of algebra to geometry..
Analyst :: Analyst (n.) One who analyzes; formerly, one skilled in algebraical geometry; now commonly, one skilled in chemical analysis..
Monomial :: Monomial (n.) A single algebraic expression; that is, an expression unconnected with any other by the sign of addition, substraction, equality, or inequality..
Quadrable :: Quadrable (a.) That may be sqyared, or reduced to an equivalent square; -- said of a surface when the area limited by a curve can be exactly found, and expressed in a finite number of algebraic terms..
Derivative :: Derivative (n.) A derived function; a function obtained from a given function by a certain algebraic process.
Notation :: Notation (n.) Any particular system of characters, symbols, or abbreviated expressions used in art or science, to express briefly technical facts, quantities, etc. Esp., the system of figures, letters, and signs used in arithmetic and algebra to express number, quantity, or operations..
Soluble :: Soluble (a.) Susceptible of being solved; as, a soluble algebraic problem; susceptible of being disentangled, unraveled, or explained; as, the mystery is perhaps soluble..
Member :: Member (n.) Either of the two parts of an algebraic equation, connected by the sign of equality..
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