rational


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Related to rational: rational function

rational

Maths
1. expressible as a ratio of two integers or polynomials
2. a rational number

rational

[Mathematics] a fractional number n/d, where n and d are integers, n is the numerator and d is the denominator. The set of all rational numbers is usually called Q. Computers do not usually deal with rational numbers but instead convert them to real numbers which are represented (approximately in some cases) as floating-point numbers. Compare irrational.
References in classic literature ?
That the standard of culture is falling, and that with our present relations to the peasants there is no possibility of famling on a rational system to yield a profit--that's perfectly true," said he.
For example, I might give you what they call the rational explanation, to begin with.
He was extremely curious to know "from what part of the country I came, and how I was taught to imitate a rational creature; because the YAHOOS (whom he saw I exactly resembled in my head, hands, and face, that were only visible), with some appearance of cunning, and the strongest disposition to mischief, were observed to be the most unteachable of all brutes.
And, indeed, this is the odd thing that is continually happening: there are continually turning up in life moral and rational persons, sages and lovers of humanity who make it their object to live all their lives as morally and rationally as possible, to be, so to speak, a light to their neighbours simply in order to show them that it is possible to live morally and rationally in this world.
In Prince Andrew's eyes Speranski was the man he would himself have wished to be- one who explained all the facts of life reasonably, considered important only what was rational, and was capable of applying the standard of reason to everything.
Much more rational, my dear Caroline, I dare say, but it would not be near so much like a ball.
With the fortitude of a devoted novitiate, she had resolved at oneandtwenty to complete the sacrifice, and retire from all the pleasures of life, of rational intercourse, equal society, peace and hope, to penance and mortification for ever.
In those words, Lord Montbarry stated the case to his brother from the rational point of view.
The spirit of clanship which was, at an early day, introduced into that kingdom, uniting the nobles and their dependants by ties equivalent to those of kindred, rendered the aristocracy a constant overmatch for the power of the monarch, till the incorporation with England subdued its fierce and ungovernable spirit, and reduced it within those rules of subordination which a more rational and more energetic system of civil polity had previously established in the latter kingdom.
The fear I felt was no rational fear, but a panic terror not only of the Martians, but of the dusk and stillness all about me.
for he who is intemperate [1260a] and a coward will never do what he ought: it is evident then that both parties ought to be virtuous; but there is a difference between them, as there is between those who by nature command and who by nature obey, and this originates in the soul; for in this nature has planted the governing and submitting principle, the virtues of which we say are different, as are those of a rational and an irrational being.
This order of truth, no matter how erroneous it may be, is the sane and normal order of truth, the rational order