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Definition for word algebra.

Algebraic Al`ge*bra"ic, Algebraical Al`ge*bra"ic*al, a. Of or pertaining to algebra; containing an operation of algebra, or deduced from such operation; as, algebraic characters; algebraical writings. Algebraic curve, a curve such that the equation which expresses the relation between the co["o]rdinates of its points involves only the ordinary operations of algebra; -- opposed to a transcendental curve., Algebraic Al`ge*bra"ic, Algebraical Al`ge*bra"ic*al, a. Of or pertaining to algebra; containing an operation of algebra, or deduced from such operation; as, algebraic characters; algebraical writings. Algebraic curve, a curve such that the equation which expresses the relation between the co["o]rdinates of its points involves only the ordinary operations of algebra; -- opposed to a transcendental curve., Sum Sum, n. [OE. summe, somme, OF. sume, some, F. somme, L. summa, fr. summus highest, a superlative from sub under. See Sub-, and cf. Supreme.] 1. The aggregate of two or more numbers, magnitudes, quantities, or particulars; the amount or whole of any number of individuals or particulars added together; as, the sum of 5 and 7 is 12. Take ye the sum of all the congregation. --Num. i. 2. Note: Sum is now commonly applied to an aggregate of numbers, and number to an aggregate of persons or things. 2. A quantity of money or currency; any amount, indefinitely; as, a sum of money; a small sum, or a large sum. ``The sum of forty pound.' --Chaucer. With a great sum obtained I this freedom. --Acts xxii. 28. 3. The principal points or thoughts when viewed together; the amount; the substance; compendium; as, this is the sum of all the evidence in the case; this is the sum and substance of his objections. 4. Height; completion; utmost degree. Thus have I told thee all my state, and brought My story to the sum of earthly bliss. --Milton. 5. (Arith.) A problem to be solved, or an example to be wrought out. --Macaulay. A sum in arithmetic wherein a flaw discovered at a particular point is ipso facto fatal 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, and -1 is 5. In sum, in short; in brief. [Obs.] ``In sum, the gospel . . . prescribes every virtue to our conduct, and forbids every sin.' --Rogers., Algebraic Al`ge*bra"ic, Algebraical Al`ge*bra"ic*al, a. Of or pertaining to algebra; containing an operation of algebra, or deduced from such operation; as, algebraic characters; algebraical writings. Algebraic curve, a curve such that the equation which expresses the relation between the co["o]rdinates of its points involves only the ordinary operations of algebra; -- opposed to a transcendental curve., Algebraically Al`ge*bra"ic*al*ly, adv. By algebraic process., Algebraist Al"ge*bra`ist, n. One versed in algebra., Algebraize Al"ge*bra*ize, v. t. To perform by algebra; to reduce to algebraic form., -graph -graph (-gr[.a]f) [From Gr. gra`fein to write. See Graphic.] A suffix signifying something written, a writing; also, a writer; as autograph, crystograph, telegraph, photograph. Graphic Graph"ic (gr[a^]f"[i^]k), Graphical Graph"ic*al (-[i^]*kal), a. [L. graphicus, Gr. grafiko`s, fr. gra`fein to write; cf. F. graphique. See Graft.] 1. Of or pertaining to the arts of painting and drawing. 2. Of or pertaining to the art of writing. 3. Written or engraved; formed of letters or lines. The finger of God hath left an inscription upon all his works, not graphical, or composed of letters. --Sir T. Browne. 4. Well delineated; clearly and vividly described. 5. Having the faculty of, or characterized by, clear and impressive description; vivid; as, a graphic 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 natural objects; as distinguished from music, etc., and also from sculpture. Graphic formula. (Chem.) See under Formula. Graphic granite. See under Granite. Graphic method, the method of scientific analysis or investigation, in which the relations or laws involved in tabular numbers are represented to the eye by means of curves or other figures; as the daily changes of weather by means of curves, the abscissas of which represent the hours of the day, and the ordinates the corresponding degrees of temperature. Graphical statics (Math.), a branch of statics, in which the magnitude, direction, and position of forces are represented by straight lines Graphic tellurium. See Sylvanite.>, Multiple Mul"ti*ple, a. [Cf. F. multiple, and E. quadruple, and multiply.] Containing more than once, or more than one; consisting of more than one; manifold; repeated many times; having several, or many, parts. Law of multiple proportion (Chem.), the generalization that when the same elements unite in more than one proportion, forming two or more different compounds, the higher proportions of the elements in such compounds are simple multiplies of the lowest proportion, or the proportions are connected by some simple common factor; thus, iron and oxygen unite in the proportions FeO, Fe2O3, Fe3O4, in which compounds, considering the oxygen, 3 and 4 are simple multiplies of 1. 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 am[oe]boid cells flow together into a single mass) from which conjugation proper and even fertilization may have been evolved. Multiple fruits. (Bot.) See Collective fruit, under Collective. Multiple star (Astron.), several stars in close proximity, which appear to form a single system.


Explination we found from Wikipedia for algebra.

- algebra is one of the broad parts of mathematics , together with number theory , geometry and analysis . the word 'algebra' has several
- in mathematics , and more specificially in abstract algebra , a -algebra (or involutive algebra) is a mathematical structure consisting of
- a †-algebra (or, more explicitly, a †-closed algebra) is the name occasionally used in physics for a finite-dimensional c*-algebra .
- in algebra , which is a broad division of mathematics , abstract algebra is a common name for the sub-area that studies algebraic structure
- in mathematics , an algebra over a field is a vector space equipped with a bilinear product . an algebra such that the product is
- in mathematics and mathematical logic , boolean algebra is the subarea of algebra in which the values of the variables are the truth
- in mathematics , lie algebras (ˈ , l , iː, not ˈ , l , aɪ) are algebraic structure s which were introduced to study the concept of
- universal algebra (sometimes called general algebra) is the field of mathematics that studies algebraic structure s themselves, not
- linear algebra is the branch of mathematics concerning vector space s, often finite or countably infinite dimensional, as well as linear
- in mathematics , and more specifically in abstract algebra , the term algebraic structure generally refers to an arbitrary set (called


We found definition for algebra you search from dictionaries , wikipedia mentions for algebra.

Similar meaning for word algebra.



Help for word algebraic.

Algebraic Al`ge*bra"ic, Algebraical Al`ge*bra"ic*al, a. Of or pertaining to algebra; containing an operation of algebra, or deduced from such operation; as, algebraic characters; algebraical writings. Algebraic curve, a curve such that the equation which expresses the relation between the co["o]rdinates of its points involves only the ordinary operations of algebra; -- opposed to a transcendental curve.


Wiki for algebraic.



Help for word Algebraic-curve.

Algebraic Al`ge*bra"ic, Algebraical Al`ge*bra"ic*al, a. Of or pertaining to algebra; containing an operation of algebra, or deduced from such operation; as, algebraic characters; algebraical writings. Algebraic curve, a curve such that the equation which expresses the relation between the co["o]rdinates of its points involves only the ordinary operations of algebra; -- opposed to a transcendental curve.


Wiki for Algebraic-curve.

- in mathematics , algebraic curves are the simplest objects of euclidean geometry that can not be defined by linear properties.
- in geometry , a circular algebraic curve is a type of plane algebraic curve determined by an equation f(x, y) 0, where f is a polynomial
- in mathematics , the gonality of an algebraic curve c is defined as the lowest degree of a rational map from c to the projective line ,
- in mathematics , the n-fold symmetric product of an algebraic curve c is the quotient space of the n-fold cartesian product :
- in mathematics , vector bundles on algebraic curves may be studied as holomorphic vector bundle s on compact riemann surface s.
- algebraic plane curve c of degree n with respect to a point q is an algebraic curve of degree n−1 which contains every point of c whose
- in algebraic geometry , a moduli space of (algebraic) curves is a geometric space (typically a scheme or an algebraic stack ) whose points
- specifically in complex analysis and algebraic geometry , for the computation of it was later generalized to algebraic curve s, to
- the minimal degree required for a plane algebraic curve to pass through a collection of very general points with prescribed multiplicities .
- an elliptic curve (ec) is a smooth , projective algebraic curve of genus one, on which there is a specified point o. an elliptic curve



Help for word Algebraic-sum.

Sum Sum, n. [OE. summe, somme, OF. sume, some, F. somme, L. summa, fr. summus highest, a superlative from sub under. See Sub-, and cf. Supreme.] 1. The aggregate of two or more numbers, magnitudes, quantities, or particulars; the amount or whole of any number of individuals or particulars added together; as, the sum of 5 and 7 is 12. Take ye the sum of all the congregation. --Num. i. 2. Note: Sum is now commonly applied to an aggregate of numbers, and number to an aggregate of persons or things. 2. A quantity of money or currency; any amount, indefinitely; as, a sum of money; a small sum, or a large sum. ``The sum of forty pound.' --Chaucer. With a great sum obtained I this freedom. --Acts xxii. 28. 3. The principal points or thoughts when viewed together; the amount; the substance; compendium; as, this is the sum of all the evidence in the case; this is the sum and substance of his objections. 4. Height; completion; utmost degree. Thus have I told thee all my state, and brought My story to the sum of earthly bliss. --Milton. 5. (Arith.) A problem to be solved, or an example to be wrought out. --Macaulay. A sum in arithmetic wherein a flaw discovered at a particular point is ipso facto fatal 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, and -1 is 5. In sum, in short; in brief. [Obs.] ``In sum, the gospel . . . prescribes every virtue to our conduct, and forbids every sin.' --Rogers.


Wiki for Algebraic-sum.

- is the operation of adding a sequence of numbers; the result is their sum or total. added with their signs, the term algebraic sum is used.
- positive polarity reed-muller : representation of a boolean function as a single algebraic sum (xor) of one or more conjunctions of one or
- in abstract algebra , the direct sum is a construction which combines several modules into a new, larger module. the direct sum of
- linear circuit having more than one independent source equals the algebraic sum of the responses caused by each independent source acting
- the theorem states that the power provided to a system of n conductors is equal to the algebraic sum of the power measured by n watt-
- the theorem states that the moment of a resultant of two concurrent force about any point is equal to the algebraic sum of the moments of
- an example of a molecule with inequivalent atoms of the same element is the thiosulfate ion (s 2 o 3 2−), for which the algebraic sum rule
- with elements in b. free abelian groups and formal sums have applications in algebraic topology , where they are used to define chain groups
- is called a tie set the set of network equations are formed by equating the loop currents to the algebraic sum of the tie set branch currents
- output: electrical output from rotor (representing an angle equal to the algebraic sum or difference of rotor position angle and angular



Help for word algebraica.

Algebraic Al`ge*bra"ic, Algebraical Al`ge*bra"ic*al, a. Of or pertaining to algebra; containing an operation of algebra, or deduced from such operation; as, algebraic characters; algebraical writings. Algebraic curve, a curve such that the equation which expresses the relation between the co["o]rdinates of its points involves only the ordinary operations of algebra; -- opposed to a transcendental curve., Algebraically Al`ge*bra"ic*al*ly, adv. By algebraic process.


Wiki for algebraica.

- already in 1826, he earned doctorate at the local faculty of philosophy on a theme de triangulis rectangulis ex algebraica aequatione
- 1799: 'teoria generale delle equazioni, in cui si dimostra impossibile la soluzione algebraica delle equazioni generali di grado superiore
- year 1958 , title symposium internacional de topología algebraica (international symposium on algebraic topology) , pages 145–154 ,
- did d268677 friedrich julius richelot: de resolutione algebraica aequationis x 257 1, sive de divisione circuli per bisectionem anguli
- htm geometria algebraica italiana at university of palermo . category:history of mathematics category:algebraic geometry category:history of
- author friedrich julius richelot , title de resolutione algebraica aequationis x 257 1, sive de divisione circuli per bisectionem anguli
- last1 serre , first1 jean-pierre , author1-link jean-pierre serre , title symposium internacional de topología algebraica , publisher
- the symbols first appear in artis analyticae praxis ad aequationes algebraicas resolvendas (the analytical arts applied to solving
- in 1709 he published the synopsis algebraica of john alexander, with additions and corrections. in his treatise on perspective (1712) he
- la soluzione algebraica delle equazioni generali di grado superiore al quatro bologna , 1799. algebra image:lyell principles frontispiece.
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Help for word Algebraical.

Algebraic Al`ge*bra"ic, Algebraical Al`ge*bra"ic*al, a. Of or pertaining to algebra; containing an operation of algebra, or deduced from such operation; as, algebraic characters; algebraical writings. Algebraic curve, a curve such that the equation which expresses the relation between the co["o]rdinates of its points involves only the ordinary operations of algebra; -- opposed to a transcendental curve.


Wiki for Algebraical.

- algebraic may refer to any subject related to algebra in mathematics and related branches like algebraic number theory and algebraic
- in mathematics , algebraic curves are the simplest objects of euclidean geometry that can not be defined by linear properties.
- we can think of algebraic expressions as generalizations of common arithmetic operations that are formed by combining numbers, variables,
- unconditional convergence is a topological property (convergence) related to an algebraical object (sum). it is an extension of the
- for historical reasons, it may also mean relation with the roots of polynomial equations , like in algebraic number , algebraic extension
- in mathematics , a von neumann algebra or w*-algebra is a -algebra of bounded von neumann , title on some algebraical properties of
- in relation with the history of mathematics , the italian school of algebraic achieved so much in the birational theory of algebraical loci.'
- the terminology of algebraic geometry changed drastically during the twentieth and that of the greatest algebraical common measure ,
- published ‘an elementary treatise on algebra with a dedication to gregory. on the theory and solution of algebraical equations 1835, 1843
- whereas the fundamental theorem of algebra readily yields the functions, and that of the greatest algebraical common measure , journal phil.
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Help for word algebraically.

Algebraically Al`ge*bra"ic*al*ly, adv. By algebraic process.


Wiki for algebraically.

- like in algebraic number , algebraic extension or algebraic expression . had no scheme for expressing algebraically the general
- in mathematics , particularly abstract algebra , an algebraic closure of a field k is an algebraic extension of k that is algebraically
- in mathematics , an algebraic function is a function that can be defined as the algebra , the complex numbers are an algebraically closed field .
- in mathematical logic , abstract algebraic logic is the study of the algebraization of deductive systems arising as an abstraction of the
- in abstract algebra , an algebraically closed field f contains a root for every non-constant polynomial in f x, the ring of polynomials
- in abstract algebra , a subset s of a field l is algebraically independent over a subfield k if the elements of s do not satisfy any non-
- in mathematics , a field f is called quasi-algebraically closed (or c 1) if every non-constant homogeneous polynomial p over f has a non-
- in mathematics , especially in the area of abstract algebra known as module theory , algebraically compact modules, also called pure-
- in mathematics , a field k is pseudo algebraically closed if it satisfies certain properties which hold for any algebraically closed field
- in mathematics , in the realm of abelian group theory , a group is said to be algebraically compact if it is a direct summand of every