Sentence examples for field of rational from inspiring English sources

At the same time, boulevard drama felt on its neck the breath of the avant-garde; and from the 1960s onward French writers began stimulating new approaches to almost every field of rational inquiry.

Then the field of rational functions (k(x)) also satisfies.

If we had included a symbol for 1/x too, the substructure generated by 1 would have been the field of rational numbers.

Basic notation The symbols,, and denote the ring of integers, the field of rational numbers, and the field of real numbers, respectively.

Let v p : C p → Q ∪ (ℚ is the field of rational numbers) denote the p-adic valuation of C p normalized so that v p ( p ) = 1.

It is defined as the completion of the field of rational numbers (mathbb{Q}_{p}) with respect to the non-Archimedean p-adic norm (vert cdot vert _{p}).

Throughout this paper,, and will, respectively, denote the ring of -adic rational integers, the field of -adic rational numbers, the rational number field, the complex number field, and the completion of algebraic closure of.

A widely known application to the area of algebra is that which deals with certain fields of rational numbers Qp, called the p-adic completion of the rational numbers.

In fact, there are three particular rings which are significantly more important than any other: the ring of integers and the fields of rational numbers and real numbers.

From 1913 to 1916 Noether published several papers extending and applying Hilbert's methods to mathematical objects such as fields of rational functions and the invariants of finite groups.

Throughout this paper, and will, respectively, denote the ring of -adic rational integers, the field of -adic rational numbers, and the completion of algebraic closure of.