Noun
a real number that cannot be expressed as a rational number
Source: WordNetAn infinite continued fraction representation for an irrational number is useful because its initial segments provide rational approximations to the number. Source: Internet
Moreover, the infinite series of digits of an irrational number does not exhibit a strictly repeating pattern ; instead, the different digits often succeed in a seemingly random fashion. Source: Internet
Every irrational number has a unique representation by a continued fraction : where is some integer and all the other numbers are positive integers. Source: Internet
An irrational number stays aperiodic (with an infinite number of non-repeating digits) in all integral bases. Source: Internet
In the Elements (308 BC) the Greek mathematician merely regarded that number as an interesting irrational number, in connection with the middle and extreme ratios. Source: Internet
The larger a term is in the continued fraction, the closer the corresponding convergent is to the irrational number being approximated. Source: Internet