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AlgebraicAlgebraic 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 curveAlgebraic 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 sumSum 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. AlgebraicalAlgebraic 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
Algebraically Al`ge*bra"ic*al*ly, adv.
By algebraic process.
Algebraist
Algebraist Al"ge*bra`ist, n.
One versed in algebra.
Algebraize
Algebraize Al"ge*bra*ize, v. t.
To perform by algebra; to reduce to algebraic form.
Graphic algebra-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 algebraMultiple 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.
Meaning of Algebra from wikipedia
-
Algebra is a
branch of
mathematics that
deals with
abstract systems,
known as
algebraic structures, and the mani****tion of
expressions within those systems...
-
mathematics and
mathematical logic,
Boolean algebra is a
branch of
algebra. It
differs from
elementary algebra in two ways. First, the
values of the variables...
- mathematics, and more
specifically in
abstract algebra, a *-
algebra (or
involutive algebra; read as "star-
algebra") is a
mathematical structure consisting of...
- In mathematics, more
specifically algebra,
abstract algebra or
modern algebra is the
study of
algebraic structures,
which are sets with
specific operations...
- In mathematics, a Lie
algebra (pronounced /liː/ LEE) is a
vector space g {\displaystyle {\mathfrak {g}}}
together with an
operation called the Lie bracket...
- mathematics,
specifically in
functional analysis, a C∗-
algebra (pronounced "C-star") is a
Banach algebra together with an
involution satisfying the properties...
- mathematics, a
Clifford algebra is an
algebra generated by a
vector space with a
quadratic form, and is a
unital ****ociative
algebra with the
additional structure...
- In
mathematical analysis and in
probability theory, a σ-
algebra ("sigma
algebra"; also σ-field,
where the σ
comes from the
German "Summe") on a set X...
-
Linear algebra is the
branch of
mathematics concerning linear equations such as a 1 x 1 + ⋯ + a n x n = b , {\displaystyle a_{1}x_{1}+\cdots +a_{n}x_{n}=b...
- In
algebra, an
Artin algebra is an
algebra Λ over a
commutative Artin ring R that is a
finitely generated R-module. They are
named after Emil Artin. Every...
