Examples of 'algebraic number' in a sentence
Meaning of "algebraic number"
algebraic number - a number that is a root or solution of a polynomial equation with integer coefficients. Algebraic numbers include rational numbers, irrational numbers (such as square roots or cube roots), and complex numbers. They can be expressed as algebraic expressions involving addition, subtraction, multiplication, division, and exponentiation.
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- A complex number (more generally, an element of a number field) that is a root of a polynomial whose coefficients are integers; equivalently, a complex number (or element of a number field) that is a root of a monic polynomial whose coefficients are rational numbers.
How to use "algebraic number" in a sentence
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algebraic number
This spirit is adopted in algebraic number theory.
Algebraic number theory studies algebraic number fields.
This notion is used in algebraic number theory.
An algebraic number is defined as root of a polynomial.
This question is of special interest if x is an algebraic number.
See also algebraic number field.
The answer is always an algebraic number.
They are used in algebraic number theory and algebraic topology.
Their detailed properties are studied in algebraic number theory.
Fueter did research on algebraic number theory and quaternion analysis.
He developed the general theory of units in algebraic number theory.
Algebraic number theory interacts with many other mathematical disciplines.
Domains and applications to algebraic number theory.
The notion of algebraic number field relies on the concept of a field.
Kresa was the first to introduce algebraic number to trigonometry.
See also
In algebraic number theory one defines also norms for ideals.
A course in computational algebraic number theory.
Algebraic number field.
A genetic introduction to algebraic number theory.
Algebraic number ring.
He specialises in algebraic number theory.
Algebraic number fields.
Regulator of an algebraic number field.
One of the origins of the mathematical theory of arithmetic groups is algebraic number theory.
Discriminant of an algebraic number fieldEdit.
The theorem shows the close analogy between algebraic geometry and algebraic number theory.
So we say that this is an algebraic number of the second degree.
An algebraic number of degree 2 is a quadratic irrational.
Irreducible polynomial of an algebraic number.
This technique is applied in algebraic number theory and modular representation theory.
An elementary proof that every trigonometric number is an algebraic number is as follows.
Both algebraic geometry and algebraic number theory build on commutative algebra.
This is one of the main results of classical algebraic number theory.
The fundamental problem of algebraic number theory is to describe the fields of algebraic numbers.
Local fields play a crucial role in algebraic number theory.
In algebraic number theory, yet another generalization is used.
Another notion needed to define algebraic number fields is vector spaces.
Algebraic number theory is also used in the study of arithmetic hyperbolic 3-manifolds.
Degree of an algebraic number.
In mathematics, the additive polynomials are an important topic in classical algebraic number theory.
His mathematical interests include algebraic number theory and algebraic geometry.
He first proved that ea is transcendental when a is any non-zero algebraic number.
The golden ratio is also an algebraic number and even an algebraic integer.
Understanding ideal class groups is a central goal of algebraic number theory.
Let K be an algebraic number field.
It launched an area of inquiry unto itself called algebraic number theory.
A real number r is called an algebraic number if r is a solution to a polynomial equation,.
It is foundational both for algebraic geometry and for algebraic number theory.
Finite extensions of Q are also called algebraic number fields and are important in number theory.
Algebraic number theory The study of algebraic numbers, the roots of polynomials with integer coefficients.
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