A mode of a probability distribution is an elementary event that has more probability mass than each of its direct neighbors, with respect to... Show moreA mode of a probability distribution is an elementary event that has more probability mass than each of its direct neighbors, with respect to some vicinity structure on the set of elementary events. The mode inequalities cut out a polytope from the simplex of probability distributions. Related to this is the concept of strong modes. A strong mode is an elementary event that has more probability mass than all its direct neighbors together. The set of probability distributions with a given set of strong modes is again a polytope. We study the vertices, the facets, and the volume of such polytopes depending on the sets of (strong) modes and the vicinity structures. Show less
Photograph of Illinois Tech fraternity and sorority members in a bed race during Greek Week. Photographer unknown. Date of photograph is... Show morePhotograph of Illinois Tech fraternity and sorority members in a bed race during Greek Week. Photographer unknown. Date of photograph is unknown. Date listed is approximate. Show less
Thirty-seven page scrapbook with hand made fabric covered box with lower case letter b (for Bauhaus) on font in silver metal. Scrapbook (16 x... Show moreThirty-seven page scrapbook with hand made fabric covered box with lower case letter b (for Bauhaus) on font in silver metal. Scrapbook (16 x 16”) has black plastic covers, spiral bound with manila card stock pages. Includes news clippings and tear sheets from periodicals about the opening of The New Bauhaus as well as the academic catalogue and program announcements, and a letter from Walter Gropius (5/18/1937) recommending Laszlo Moholy-Nagy as director. Creator unknown, assumed to be affiliated with the New Bauhaus. Show less
Photograph of students building a snowman on present day Siegel Field, north of S.R. Crown Hall on the Illinois Tech campus. Date of... Show morePhotograph of students building a snowman on present day Siegel Field, north of S.R. Crown Hall on the Illinois Tech campus. Date of photograph is unknown. Date range listed is approximate. Show less