Irrational number number to ratios of continuous magnitude. In his commentary on Book 10 of the "Elements", the Persian mathematician Al-Mahani (d. 874/884) examined and classified quadratic irrationals and cubic irrationals. He provided definitions for rational and irrational magnitudes, which he treated as irrational numbers. He dealt with them freely but explains them in geometric terms as follows: In contrast to Euclid's concept of magnitudes as lines, Al-Mahani considered integers and fractions as rational magnitudes, and square roots and cube roots as irrational magnitudes. He also introduced an arithmetical approach to the concept of irrationality, as he attributes the following to irrational
Irrational Anthems Irrational Anthems Irrational Anthems is an album by British Folk metal band, Skyclad, released in 1996; their sixth album in as many years. It was their first album without founding member Keith Baxter on drums and longtime guitar player Dave Pugh. The group remained a quartet, with Steve Ramsey overdubbing all guitars, and with the hiring of Paul Smith as session drummer. The album marked the band's turn to a more folkier sound, moving away from the early years' thrash metal style. The album title appears as a reference in the closing track "Quantity Time": "Each moment in your company"