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 Man (film) or average reviews". Irrational Man (film) Irrational Man is a 2015 American crime mystery drama film written and directed by Woody Allen, and starring Joaquin Phoenix, Emma Stone, Parker Posey and Jamie Blackley. The film was released on July 17, 2015, by Sony Pictures Classics in a limited release, later expanding wider. The film was the last produced by Jack Rollins, who had produced Allen's films since the 1980s, before his death in June 2015. It is an existential murder mystery – starring Joaquin Phoenix as the protagonist who is a washed-up professor and Emma Stone as a student who