Emetophobia vomiting, thus inducing a phobia." In an internet survey conducted by Dr. Joshua D. Lipsitz "et al." given to emetophobic people, respondents gave many different reasons as to why they became emetophobic. Among some of the causes listed were several severe bouts of vomiting as children and being firsthand witnesses to many severe vomiting in others due to illness, pregnancy or alcoholism. There are two assessment tools used to diagnose emetophobia: the Specific Phobia of Vomiting inventory and the Emetophobia Questionnaire. They are self-report questionnaires that focus on a different range of symptoms. There have been a limited number of
Irrational rotation Irrational rotation In the mathematical theory of dynamical systems, an irrational rotation is a map where "θ" is an irrational number. Under the identification of a circle with R/Z, or with the interval [0, 1] with the boundary points glued together, this map becomes a rotation of a circle by a proportion "θ" of a full revolution (i.e., an angle of 2"πθ" radians). Since "θ" is irrational, the rotation has infinite order in the circle group and the map "T" has no periodic orbits. Alternatively, we can use multiplicative notation for an irrational rotation by introducing the map The relationship