In this way I believed that I could borrow all that was best both in geometrical analysis and in algebra
, and correct all the defects of the one by help of the other.
"Well, algebra is a tool, like the plow or the hammer, and a good tool to those who know how to use it."
"First effects of algebra," replied Barbicane; "and now, to finish, we are going to prove the given number of these different expressions, that is, work out their value."
You shall try and make me like algebra
, and I 'll try and make you like Latin, will you?"
Orthography, etymology, syntax, and prosody, biography, astronomy, geography, and general cosmography, the sciences of compound proportion, algebra
, land-surveying and levelling, vocal music, and drawing from models, were all at the ends of his ten chilled fingers.
"I can't stop to measure insteps on algebra
days; I've noticed your habit of keeping a foot in the aisle ever since you had those new shoes, so I don't wonder it was stepped on."
Helen Plantagenet is deeply grieved to have to confess that I took the first place in algebra
He himself undertook his daughter's education, and to develop these two cardinal virtues in her gave her lessons in algebra
and geometry till she was twenty, and arranged her life so that her whole time was occupied.
In the boys' department, which was full of little urchins (varying in their ages, I should say, from six years old to ten or twelve), the master offered to institute an extemporary examination of the pupils in algebra
; a proposal, which, as I was by no means confident of my ability to detect mistakes in that science, I declined with some alarm.
Without a strong background in these areas, students are unprepared to tackle later algebra
If [alpha] = id (the identity map), then a Hom-algebra (A, *, [alpha]) reduces to an ordinary algebra
(A, *), the Hom-Jacobian [J.sub.[alpha]] is the ordinary Jacobian J, and the Hom-associator is the usual associator for the algebra
Given the data in the definition, together with a fixed v [member of] [sup.[theta]]NI, we have a VV algebra
[W.sub.v] (see [Wal] for the definition).
Throughout H is a d-dimensional semisimple Hopf algebra
over an algebraically closed field k of characteristic 0 and H* is its dual which is a semisimple Hopf algebra
Here, we find the image of the affine symplectic Lie algebra
[g.sub.n] from the Leibniz homology H[L.sub.*]([g.sub.n]) to the Lie algebra
homology [H.sup.Lie.sub.*] ([g.sub.n]).
Basics of Genetic Algebra
. After the theory of Charles Darwin, it was Gregor Mendel who studied the natural laws of genetic inheritance and tried to express them in a mathematical language.