Examples of using Algebraic in English and their translations into Vietnamese
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This enabled him to construct new cohomology theories for algebraic varieties, which he used to prove the Milnor and Bloch-Kato conjectures, relating K-theory groups of fields and Galois cohomology.
In mathematics, a transcendental number is a real number or complex number that is not an algebraic number- that is, not a root(i.e., solution) of a nonzero polynomial equation with integer coefficients.
The structure of algebraic varieties defined over non-algebraically-closed fields has become a central area of interest that arose with the modern abstract development of algebraic geometry.
His work in developing a homotopy theory for algebraic varieties and formulating motivic cohomology led to the award of a Fields Medal in 2002.
The unsolved problem stimulated the development of algebraic number theory in the 19th century and the proof of the modularity theorem in the 20th century.
Algebraic number theory is a branch of number theory that uses the techniques of abstract algebra to study the integers, rational numbers, and their generalizations.
The beginnings of algebraic number theory can be traced to Diophantine equations,[1] named after the 3rd-century Alexandrian mathematician, Diophantus, who studied them
rings of algebraic integers, including the ordinary integers Z{\displaystyle\mathbb{Z}},
We can plug those numbers into an algebraic function to predict how the current would have treated them
John Torrence Tate Jr.(born March 13, 1925) is an American mathematician, distinguished for many fundamental contributions in algebraic number theory, arithmetic geometry and related areas in algebraic geometry.
(born March 13, 1925) is an American mathematician, distinguished for many fundamental contributions in algebraic number theory, arithmetic geometry and related areas in algebraic geometry.
1(more generally, of any positive algebraic number other than 1)
the rationals, the algebraic numbers and the computable numbers,
Dedekind's study of Dirichlet's work did, in fact, lead to his own study of algebraic number fields, as well as to his introduction of ideals.
its proof involves deep results of both algebraic number theory and algebraic geometry.
is more algebraic in nature, and concerns vector bundles on an algebraic variety over an algebraically closed field(of any characteristic).
including elliptic curves, algebraic number theory, and quantum computing.
length one(a unit vector) or its length may represent the curvature of the object(a curvature vector); its algebraic sign may indicate sides(interior or exterior).
we can plug those numbers into an algebraic function If we figure out the weight
Noether and a small team of students worked quickly through van der Waerden's 1930 book Moderne Algebra I and parts of Erich Hecke's Theorie der algebraischen Zahlen(Theory of algebraic numbers).