Sets of real numbers

ambiguous mathematical term used either for non-negative or for strictly positive integers, depending on usage

thumb|upright=1.25|The integers arranged on a number line

quotient of two integers

real number that cannot be expressed as a ratio of integers

subset an ordered set that consists of all elements between two given endpoints

fractal and set of points on a line segment

the closed interval of real numbers between 0 and 1

real number whose infinite sequence of digits in every positive integer base is distributed uniformly

subset of [0,1] whose intersection with any translation of the set of rationals is a singleton; elementary example of a non-Lebesgue-measurable set of reals

set that is nowhere dense (in particular it contains no intervals), yet has positive measure

Sequence in mathematics