# Rational Numbers

### Some articles on rational numbers, number, numbers, rational, rational number:

P-adic Order - Definition and Properties - Rational Numbers
... The p-adic order can be extended into the rational numbers ... We can define Some properties are Moreover, if, then ...
Complex Numbers Exponential - Real Exponents - Real Exponents With Negative Bases
... Powers of a positive real number are always positive real numbers ... If the definition of exponentiation of real numbers is extended to allow negative results then the result is no longer well behaved ... Neither the logarithm method nor the rational exponent method can be used to define br as a real number for a negative real number b and an arbitrary real number r ...
Rational Number
... In mathematics, a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, with the denominator q not equal to zero ... Since q may be equal to 1, every integer is a rational number ... The set of all rational numbers is usually denoted by a boldface Q (or blackboard bold, Unicode ℚ) it was thus named in 1895 by Peano after quoziente, Italian for "quotient" ...
Linear Continuum - Non-examples
... The set of rational numbers is not a linear continuum ... Consider the subset A = { x

### Famous quotes containing the words numbers and/or rational:

All ye poets of the age,
All ye witlings of the stage,
Learn your jingles to reform,
Crop your numbers to conform.
Let your little verses flow
Gently, sweetly, row by row;
Let the verse the subject fit,
Little subject, little wit.
Namby-Pamby is your guide,
Albion’s joy, Hibernia’s pride.
Henry Carey (1693?–1743)

We must not suppose that, because a man is a rational animal, he will, therefore, always act rationally; or, because he has such or such a predominant passion, that he will act invariably and consequentially in pursuit of it. No, we are complicated machines; and though we have one main spring that gives motion to the whole, we have an infinity of little wheels, which, in their turns, retard, precipitate, and sometime stop that motion.
Philip Dormer Stanhope, 4th Earl Chesterfield (1694–1773)