Since ([K.sub.X], [gamma]) < 0 and ([E.sub.n], [gamma]) > 0, there exists a unique positive rational number
[b.sub.n] such that ([K.sub.X] + [b.sub.n][E.sub.n], [gamma]) = 0 for any n [greater than or equal to] 0.
Alas, transcendental numbers can be approximated exceptionally well by rational numbers
, because their continued fractions contain large denominators and can be truncated with minimum loss of precision.
Although there are inherent difficulties in working with rational numbers
, there also are cultural sources of difficulty, according to an article in Psychology Today.
On the mathematical, cognitive, and instructional foundations of rational numbers
. In A.
La otra, desde una perspectiva cognitiva, destaca el trabajo de Thomas Kieren sobre los procesos de aprendizaje de los numeros racionales basados en su nocion de constructo matematico, y The Rational Number
Project coordinado por Merlyn J.
On the other hand, we prove in Proposition 7 that, surprisingly enough, rational numbers
are not computable (except for a few explicitly exhibited ones).
Initial fraction learning by fourth- and fifth-grade students: A comparison of the effects of using commercial curricula with the effects of using the Rational Number
Order and equivalence of rational numbers
: A clinical teaching experiment.
Is [square root of 2] a rational number
, that is, expressible as a fraction?
Throughout this paper, we use R, [R.sup.+], [R.sup.-], Q, Z, and [Z.sup.+] to denote real numbers, positive real numbers, negative real numbers, rational numbers
, integers, and positive integers, respectively.
A Kronrod rule also has a Jacobi matrix, in which the numbers [a.sub.k] and [b.sub.k] are rational numbers
that can be found by the process described in .
The rational number
constructs: Its elements and mechanisms.