Sentence examples for fields of rational from inspiring English sources
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.
Example 9.3.5 (Field of rational functions).
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.
The objective of the paper is to overcome the conventional restriction to the field of rational functions in the algebraic design of control systems.
Progresses in the field of rational drug design and computational chemistry will vastly benefit from the availability of increasing structural knowledge of both the kinase domains and the ligand-binding sites of these receptors.
Furthermore, the de novo design strategy disclosed herein has the potential for significantly augmenting the 'tool-box' of the modern day peptidomimetic chemist, as well as providing a novel approach to the field of rational design.
Recent developments in the field of rational approach to drug design can be credited to the development in the areas of computer science, molecular biology, biophysics, biotechnology and statistics.
Throughout this paper,,,,, and will respectively denote the ring of rational integers, the field of rational numbers, the ring -adic rational integers, the field of -adic rational numbers, and the completion of the algebraic closure of.
