This paper studies the poset of eigenspaces of elements of an imprimitive unitary reflection group, for a fixed eigenvalue, ordered by the reverse of inclusion. The study of this poset is suggested by the eigenspace theory of Springer and Lehrer. The posets are shown to be isomorphic to certain subposets of Dowling lattices (the ”d-divisible, k-evenly coloured Dowling lattices”). This enables u...

Dowling Degos disease is a rare condition inherited as autosomal dominant trait characterized by numerous, asymptomatic, symmetrical, progressive, small, round-pigmented macules over axillae and groins, face, neck, arms and trunk, scattered comedo-like lesions (dark dot follicles) and pitted acneiform scars. Histopathology is diagnostic. We are hereby reporting three cases of Dowling Degos dise...

The notion of exponential Dowling structures is introduced, generalizing Stanley’s original theory of exponential structures. Enumerative theory is developed to determine the Möbius function of exponential Dowling structures, including a restriction of these structures to elements whose types satisfy a semigroup condition. Stanley’s study of permutations associated with exponential structures l...

Recently, Kim–Kim introduced the [Formula: see text]-umbral calculus, in which text]-Sheffer sequences occupy central position. In this paper, we introduce fully degenerate Bell and Dowling polynomials, investigate some properties identities relating to those polynomials with help of calculus. Here, note that poynomials are, respectively, versions latters are natural extension Whitney numbers s...

Page 1 of 5 Knowledge Engineering for Very Large Decision-analytic Medical Models Marek J. Druzdzel, Ph.D., Agnieszka Onisko, M.S., Daniel Schwartz, M.D., John N. Dowling, M.D. and Hanna Wasyluk, M.D., Ph.D. 1 Decision Systems Laboratory, School of Information Sciences, Intelligent Systems Program, and Center for Biomedical Informatics, University of Pittsburgh, Pittsburgh, PA 15260, USA, marek...