Quite appropriately, Moses received a MacArthur Foundation “genius” award in 1982 for his work with the algebra Project.
The arc of Hathahate is like one of those U-ish parabolas from algebra class.
Daily reinfection is needed or the disease goes dormant like algebra.
That same year Forever 21 was forced to stop selling tops that read “Allergic to algebra.”
I wanted my father to be proud of me and there was no way he could be proud of me getting a mid-term "C" in algebra.
He was a man who breathed certainly in the present age, but the half of his life was spent in antiquity or algebra.
The boy from Texas dodged, and the algebra hit the wall behind him.
But in such cases a most delicate question occurs, pressing equally on medicine and algebra.
“You look after your climbing, and never mind my algebra,” said Mike huskily.
He knows as much about journalism as a monkey knows of algebra.
1550s, from Medieval Latin algebra, from Arabic al jebr "reunion of broken parts," as in computation, used 9c. by Baghdad mathematician Abu Ja'far Muhammad ibn Musa al-Khwarizmi as the title of his famous treatise on equations ("Kitab al-Jabr w'al-Muqabala" "Rules of Reintegration and Reduction"), which also introduced Arabic numerals to the West. The accent shifted 17c. from second syllable to first. The word was used in English 15c.-16c. to mean "bone-setting," probably from Arab medical men in Spain.
A branch of mathematics marked chiefly by the use of symbols to represent numbers, as in the use of a2 + b2 = c2 to express the Pythagorean theorem.
mathematics, logic
1. A loose term for an algebraic structure.
2. A vector space that is also a ring, where the vector space and the ring share the same addition operation and are related in certain other ways.
An example algebra is the set of 2x2 matrices with real numbers as entries, with the usual operations of addition and matrix multiplication, and the usual scalar multiplication. Another example is the set of all polynomials with real coefficients, with the usual operations.
In more detail, we have:
(1) an underlying set,
(2) a field of scalars,
(3) an operation of scalar multiplication, whose input is a scalar and a member of the underlying set and whose output is a member of the underlying set, just as in a vector space,
(4) an operation of addition of members of the underlying set, whose input is an ordered pair of such members and whose output is one such member, just as in a vector space or a ring,
(5) an operation of multiplication of members of the underlying set, whose input is an ordered pair of such members and whose output is one such member, just as in a ring.
This whole thing constitutes an `algebra' iff:
(1) it is a vector space if you discard item (5) and
(2) it is a ring if you discard (2) and (3) and
(3) for any scalar r and any two members A, B of the underlying set we have r(AB) = (rA)B = A(rB). In other words it doesn't matter whether you multiply members of the algebra first and then multiply by the scalar, or multiply one of them by the scalar first and then multiply the two members of the algebra. Note that the A comes before the B because the multiplication is in some cases not commutative, e.g. the matrix example.
Another example (an example of a Banach algebra) is the set of all bounded linear operators on a Hilbert space, with the usual norm. The multiplication is the operation of composition of operators, and the addition and scalar multiplication are just what you would expect.
Two other examples are tensor algebras and Clifford algebras.
[I. N. Herstein, "Topics in Algebra"].
(1999-07-14)