Emetophobia Emetophobia Emetophobia is a phobia that causes overwhelming, intense anxiety pertaining to vomiting. This specific phobia can also include subcategories of what causes the anxiety, including a fear of vomiting in public, a fear of seeing vomit, a fear of watching the action of vomiting or fear of being nauseated. It is common for emetophobics to be underweight, or even anorexic, due to strict diets and restrictions they make for themselves. The thought of someone possibly vomiting can cause the phobic person to engage in extreme behaviors to escape the perceived (and sometimes very real) threat of that particular situation,
Proof that e is irrational between 2 and 3: We then analyze a blown-up difference "x" of the series representing "e" and its strictly smaller partial sum, which approximates the limiting value "e". By choosing the magnifying factor to be the factorial of "b", the fraction ⁄ and the partial sum are turned into integers, hence "x" must be a positive integer. However, the fast convergence of the series representation implies that the magnified approximation error "x" is still strictly smaller than 1. From this contradiction we deduce that "e" is irrational. Suppose that "e" is a rational number. Then there exist positive integers "a"