Sentence examples for number field from inspiring English sources

Dictionary

number field

noun

A field which includes the rational numbers and has finite dimension as a vector space over the rational numbers.

  • Number fields are typically formed by adjoining algebraic integers to the field of rational numbers.

Exact(60)

Mathematicians call it a "number field".

In creating this number field we employed the solution √2.

In fact, we can swap √2 and -√2 without changing the number field.

PWN A (triangle) mesh inducing a piecewise constant generalized winding number field.

A number field is built by extending the rational numbers to include non-rational roots of a polynomial; if the polynomial is quadratic, then one obtains a quadratic number field.

The degree of the polynomial and its discriminant are two basic quantities associated with the number field.

There may be more than one typical ranks over the real number field.

Evidence for this conjecture is given for SO n, 1) over a number field.

The matrices of complete distortion form an algebra over the number field ℚ (√6).

He presented a new foundation for and extended the arithmetic of semi-simple algebras over the rational number field.

Investigate programming to enable call number searching using call number field (050) in the bibliographic record. 21.

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