University of Wisconsin, Department of Sociology Sociology 375: Introduction to Mathematical Sociology Fall 2007 Prof. James Montgomery [email protected] 2436 Social Science Office hours: Friday 9:30-11:30 AM or by appointment Overview. Mathemati
Sociology 375
Exam 1
Spring 2006
Prof Montgomery
Answer all questions. 200 points possible. Explanations can be brief. 1) [20 points] Some textbooks specify the condition for asymmetry as xRy yRx while other textbooks specify the condition as
Sociology 375
Exam 1
Spring 2005
Prof Montgomery
Answer all questions. 200 points possible. 1) [40 points] Consider a relation R on a set S. Slightly modifying the definition given in lecture, suppose that R is complete iff (xRy yRx) (x=y) for
Sociology 375
Exam 1
Spring 2007
Prof Montgomery
Answer all questions. 250 points possible. Explanations can be brief. 1) [40 points] Given a binary vector v (with elements equal to 0 or 1, which may be interpreted as truth values), we could use
Sociology 375
Exam 1
Fall 2007
Prof Montgomery
Answer all questions. 250 points possible. 1) [30 points] The antisymmetry condition can be written as (xRy yRx) (x = y) . Using a truth table, determine whether the condition (x = y) (xRy) (yRx)