algebraic

Definitions

  • WordNet 3.6
    • adj algebraic of or relating to algebra "algebraic geometry"
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Webster's Revised Unabridged Dictionary
    • Algebraic Of or pertaining to algebra; using algebra; according to the laws of algebra; containing an operation of algebra, or deduced from such operation; as, algebraic characters; algebraical writings; algebraic geometry.
    • Algebraic progressing by constant multiplicatory factors; -- of a series of numbers. Contrasted to arithmetical.
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Century Dictionary and Cyclopedia
    • algebraic Pertaining to algebra.
    • algebraic Involving no operations except addition, subtraction, multiplication, division, and the raising of quantities to powers whose exponents are commensurable quantities: as, an algebraic equation or expression.
    • algebraic Relating to the system of quantity which extends indefinitely below as well as above zero.
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Chambers's Twentieth Century Dictionary
    • adjs Algebraic pertaining to algebra
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Quotations

  • Ralph Waldo Emerson
    Ralph%20Waldo%20Emerson
    “Love and you shall be loved. All love is mathematically just, as much as the two sides of an algebraic equation.”
  • Fran Lebowitz
    Fran%20Lebowitz
    “Stand firm in your refusal to remain conscious during algebra. In real life, I assure you, there is no such thing as algebra.”
  • Thomas Robert Malthus
    Thomas Robert Malthus
    “The passion between the sexes has appeared in every age to be so nearly the same, that it may always be considered, in algebraic language as a given quantity.”

Etymology

Chambers's Twentieth Century Dictionary
It. and Sp., from Ar. al-jebr, the resetting of anything broken, hence combination; jabara, to reunite.

Usage

In literature:

After a morning spent at Latin, algebra, and chemistry, it seemed intolerable to be obliged to remain in the schoolroom.
"A Patriotic Schoolgirl" by Angela Brazil
We do not propose that he shall decipher the hieroglyphics of algebra and geometry.
"Astronomy for Amateurs" by Camille Flammarion
I'll see you at the usual hour this afternoon and give you your lessons in algebra and Latin.
"Frank Merriwell's Son" by Burt L. Standish
He taught algebra, geometry, natural philosophy, geography, logic, and metaphysics.
"The International Monthly, Volume 3, No. 1, April, 1851" by Various
Willibald was groaning over an algebraic equation.
"The Goose Man" by Jacob Wassermann
One of these was algebra.
"Bert Lloyd's Boyhood" by J. McDonald Oxley
Now with algebra, I have to use my hands as well as my brains.
"Tabitha at Ivy Hall" by Ruth Alberta Brown
I don't know any geometry, nor any algebra.
"Peggy" by Laura E. Richards
You read too much algebra, English history and fables.
"Peck's Uncle Ike and The Red Headed Boy 1899" by George W. Peck
It was as simple as algebra.
"The Escape of a Princess Pat" by George Pearson
A teacher chalked a proposition in algebra.
"The Young Railroaders" by Francis Lovell Coombs
An algebraic term for an equation in which the unknown quantity rises to two or more several powers.
"The Sailor's Word-Book" by William Henry Smyth
She threw up the sash, seated herself on the broad cedar window-sill, and began to work out a sum in Algebra.
"Macaria" by Augusta Jane Evans Wilson
They decline to answer to the call of a, b and c. They won't be x'd and y'd algebraically.
"Ainslee's, Vol. 15, No. 5, June 1905" by Various
They originated the science of chemistry, and made great advances in the study of algebra and trigonometry.
"History of Education" by Levi Seeley
For the young child it is as difficult as are Calculus and Algebra for his older brother.
"Great Pianists on Piano Playing" by James Francis Cooke
My First Algebra Lesson.
"English: Composition and Literature" by W. F. (William Franklin) Webster
Did you ever study algebra?
"The Atlantic Monthly, Volume 15, No. 89, March, 1865" by Various
The decimal system mastered, Carmen was inducted into the elements of algebra.
"Carmen Ariza" by Charles Francis Stocking
Some of the operations of tensor calculus have analogs in algebra; many do not.
"Fifty Per Cent Prophet" by Gordon Randall Garrett
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In poetry:

Of Algebra I fear I have
A very vague impression;
I study hard, but fail to make
Harmonical Progression.
"Mathematics" by Arthur Clement Hilton
Tell now, we taunt where black or white begins
and separate the flutes from violins:
the algebra of absolutes
explodes in a kaleidoscope of shapes
that jar, while each polemic jackanapes
joins his enemies' recruits.
"Love Is A Parallax" by Sylvia Plath

In news:

Jeffrey Collins had his 5th-grade class do the one about deciding on the order of operations in an algebraic equation.
Just under half of Florida's high school freshmen passed an algebra test needed to graduate, but middle school students who took it did much better on the end of course exam.
Results posted Friday show 48 percent of ninth graders taking the Algebra 1 exam for the first time passed it.
YourTeacher announced the release of their first math iBook for schools: Algebra 1.
Synthesize FIR filters using high-school algebra (Part 2).
Alloy Meets the Algebra of Programming: A Case Study IS - 1 SN - 0098-5589 SP EP EPD.
The State Education Department has posted the Regents Examination in Algebra 2/Trigonometry scale score conversion chart.
The first adminstration of the Regents Examination in Algebra 2/Trigonometry was Tuesday, June 15, 2010.
Linear Algebra and its Applications publishes articles that contribute new information or new insights to matrix theory and finite dimensional linear algebra in their algebraic , arithmetic, combinatorial, geometric, or numerical aspects.
CUNY's got math problem: Report shows many freshmen from city HS fail at basic algebra .
Tutapoint.com provides online math tutoring for algebra problems and calculus help.
Our online math tutor helps for math homework help, algebra help, calculus help, math tutoring, homework help.
SACRAMENTO (AP) — A judge on Friday blocked a plan to make California the first state in the nation to require algebra testing for all eighth-graders.
Video Game Helps Math Students Vanquish an Archfiend: Algebra .
More kids take algebra but fewer flourish.
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In science:

Jiang and Su have in found a non-type I, unital, simple C ∗ -algebra Z for which A ∼= A ⊗ Z is known to hold for a large class of well-behaved simple C ∗ -algebras A, such as for example the irrational rotation C ∗ -algebras and more generally all C ∗ -algebras that are covered by a classification theorem (cf. or ).
A simple C*-algebra with a finite and an infinite projection
Definition 7.12 [Mutation of algebraic product] As we can associate with an L-coalgebra, an algebraic product we define: [∆M ] # [∆N ] to say that the algebraic product [∆M ] has undergone an algebraic mutation into [∆N ].
Coassociativity breaking and oriented graphs
Then we obtain factor algebras Λ0 = Λ/I0 and Λ∞ = Λ/I∞ which both are tame concealed algebras (in the case of a tubular canonical algebra, we recover the factor algebras already introduced).
Infinite dimensional representations of canonical algebras
In this context we note that the universal enveloping algebra of the underlying symmetry algebra in the two dimensional (super)conformal field theory is essentially the same as that of the corresponding universal enveloping algebra of any simple Lie algebra.
On the Hopf Structure of W(2) Algebra and N=1 Superconformal Algebra in the Ope Language
The braided Hopf algebra axioms are generalizations of ordinary Hopf algebra axioms such that in the limit ψ → π braided Hopf algebra axioms reduce to the ordinary Hopf algebra axioms.
Generalized exclusion and Hopf algebras
Recall [Ma] that the algebra of symmetric functions, denoted as Λ, is the graded algebra defined as the pro jective limit (in the category of graded algebras) lim←− Λ(n), where Λ(n) denotes the algebra of symmetric polynomials in n variables.
Kerov's central limit theorem for the Plancherel measure on Young diagrams
The Lie algebras associated with vertex algebras, the Lie algebras generated by conformal algebras are in general nongraded and nonlinear Lie algebras [BXZ,X2].
Some representations of nongraded Lie algebras of generalized Witt type
He also showed how to construct the generalized Schur algebra from the enveloping algebra of the complex Lie algebra of the same type as the given algebraic group, by an appropriate modification of the construction of Chevalley groups.
Presenting generalized q-Schur algebras
Schur algebras, q-Schur algebras, generalized Schur algebras, quantized enveloping algebras.
Presenting generalized q-Schur algebras
Thus if a real C*-algebra A satisfies the UCT for all real separable C*-algebras B , then the complexification AC will satisfy the UCT for all complex separable C*-algebras of the form BC for some real C*-algebra B .
The Range of United K-Theory
There is a functor F from the category of al l real C*-algebras (and real C*algebra homomorphisms) to the category of al l real unital C*-algebras (and real unital C*-algebra homomorphisms) and a natural transformation η : A → F (A) which induces an isomorphism on united K -theory.
The Range of United K-Theory
Lie groups rather than Hopf algebras, since we want to emphasize the correspondence limit with standard theories by terming the q -deformation of the standard Lie group an “internal algebra” and the q -deformation of the standard Lie algebra an “external algebra”.
Note on q-Dual Theories
It is proved that this algebra is a simple quotient of the group C ∗ -algebra of a lattice subgroup Dn of a (n + 2)-dimensional connected simply connected nilpotent Lie group Fn whose corresponding Lie algebra is the generic filiform Lie algebra fn .
$C^\ast$-algebras from Anzai flows and their $K$-groups
By a classification theorem for a class of nuclear C ∗ -algebras, one usually means the following: Two C ∗ algebras in the class with the same K -theoretical data are isomorphic (as C ∗ -algebras) and given a set of K -theoretical data there is a C ∗ -algebra in the class which possesses the K -theoretical data.
Simple nuclear $C^*$-algebras of tracial topological rank one
One may view (simple) C ∗ -algebras of real rank zero and stable rank one as some kind of generalization of AF-algebras. A more suitable generalization of AF-algebras has been demonstrated to be C ∗ -algebras with tracial topological rank zero.
Simple nuclear $C^*$-algebras of tracial topological rank one
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