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,
Thomae's function Then, necessarily, formula_66 and therefore, Likewise, for all irrational formula_68 and thus, if formula_69 then any choice of (sufficiently small) formula_70 gives Therefore, formula_7 is continuous on formula_73 A natural follow-up question one might ask is if there is a function which is continuous on the rational numbers and discontinuous on the irrational numbers. This turns out to be impossible; the set of discontinuities of any function must be an set. If such a function existed, then the irrationals would be an set. The irrationals would then be the countable union of closed sets formula_90, but since the irrationals do