Hatred it "brings a process to completion". <poem>I study hatred with great diligence, For that's a passion in my own control, A sort of besom that can clear the soul Of everything that is not mind or sense."</poem> Hatred Hatred or hate is a human emotion. Hatred could invoke feelings of animosity, anger or resentment, which can be directed against certain individuals, groups, entities, objects, behaviors, concepts, or ideas. Hatred is often associated with feelings of anger, disgust and a disposition towards the source of hostility. As an emotion, hatred can be short-lived or long-lasting. It can be of low intensity
Irrational number Consider ; if this is rational, then take "a" = "b" = . Otherwise, take "a" to be the irrational number and "b" = . Then "a" = () = = = 2, which is rational. Although the above argument does not decide between the two cases, the Gelfond–Schneider theorem shows that is transcendental, hence irrational. This theorem states that if "a" and "b" are both algebraic numbers, and "a" is not equal to 0 or 1, and "b" is not a rational number, then any value of "a" is a transcendental number (there can be more than one value