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
Culture of fear Culture of fear Popularized by the American sociologist Barry Glassner, culture of fear (or climate of fear) is the concept that people may incite fear in the general public to achieve political or workplace goals through emotional bias. A largely unrelated concept in sociology is the "fear culture" on the Guilt-Shame-Fear spectrum of cultures. Ashforth discussed potentially destructive sides of leadership and identified what he referred to as petty tyrants: leaders who exercise a tyrannical style of management, resulting in a climate of fear in the workplace. Partial or intermittent negative reinforcement can create an effective climate of fear and