Sentence examples for rational quotient from inspiring English sources

is the integer part of the rational quotient.

and in 3/13 = 0.230769230769230769... notice that "230769" repeats, which indicates that 3/13 is rational (and, of course, any rational divided by a rational could be shown to have a rational quotient).

IQ = Intellectual Quotient.

Consideration of the collection of numbers (points) that would not conflict with such a representation led him, first, in 1872, to define irrational numbers in terms of convergent sequences of rational numbers (quotients of integers) and then to begin his major lifework, the theory of sets and the concept of transfinite numbers.

This result was of considerable importance for the theory of integration, since by the method of partial fractions it ensured that a rational function, the quotient of two polynomials, could always be integrated in terms of algebraic and elementary transcendental functions.

The proposed method with a controllable canonical form, on the other hand, directly transforms the frequency domain transfer function (a quotient of rational polynomials) to an equivalent state space model, which consists of a series of first-order ordinary differential equations that can be numerically implemented in a straightforward way.

But, the special conditions that make it rational to have coherent betting quotients, so as to avoid a sure loss, are not met in general.

Here we present a new representation of quasi-rational solutions of NLS expressed as a quotient of two determinants which do not involve limits introduced in[19].

One may question whether the appropriate or intended sense of 'rational' is invoked in these cases in which it seems right to say that rational beliefs can come apart from betting quotients, but such objections just highlight the lack of clarity in most presentations of the argument over what sort of rationality is supposed to be at stake.

The groups that are thus obtained are important to study the problem of rationality of the quotients V / G, or of their stable rationality (X is said to be stably rational if there is an integer n such that (X times {mathbb {P}}^n) is rational).

A computation, having this non-linear system at his start, obtains quasi-algebraic and among them rational Painlevé transcendents of the sixth kind as certain quotients of such μ-functions.