This thesis contains material relating to two separate subjects. The first section determines when the C*-algebra affiliated to a directed graph has continuous trace. We use groupoid methods and the focus is on producing conditions on a graph that...
Digital integrated circuits -- Testing. Digital integrated circuits -- Testing -- Mathematical models. Digital integrated circuits -- Design and construction.
In the late 1960s, Ihara began work that led to the Ihara zeta function, a zeta function which is defined on a finite graph. This function is an interesting graph invariant which gives information on expansion properties of the graph. It also...
Goldman and Turaev constructed a Lie bialgebra structure on the free Z-module generated by free homotopy classes of loops on an oriented surface. Turaev conjectured that the cobracket of A is zero if and only if A is a power of a simple class. Chas...
The Euler '-function and Carmichael -function are extremely important in modern number theory, and much work has been devoted to studying the distribution and arithmetic properties of the values of each function. One interesting unresolved question...
There are no Vassiliev invariants of degree one for classical knots. A. Henrich proved the existence of a sequence of three Vassiliev invariants of degree one for virtual knots. The invariants get stronger and stronger, and the final invariant is...
For a local field K, we study the affine buildings Îž n and Î” n naturally associated to SL n ( K ) and Sp n ( K ), respectively. Since Sp n ( K ) is a subgroup of SL 2 n ( K ), we investigate properties of a natural embedding of Î” n in Îž 2 n ....
A polynomial is a product of distinct cyclotomic polynomials if and only if it is a divisor over [Special characters omitted.] [x ] of xn - 1 for some positive integer n. In this thesis, we will examine two natural questions concerning the divisors...
"Travel" Magazine February 1935. The Eskimo Hunter The walrus hunt is one of the most exciting spectacles the primitive north affords. The Eskimo stands on the ice ridge with his harpoon poised to throw. Hunting, harpoon; Ice ridge; Individual,...
Core Binding Factors (CBFs) are members of a small family of transcription factors that play critical roles in a number of mammalian developmental processes. CBFs are heterodimers consisting of a CBFÎ± subunit, which contacts and binds DNA at the...
The placenta is the extra-embryonic tissue that mediates the exchange of oxygen and nutrients between the fetus and mother. It was shown that the placenta is a source of hematopoietic stem cells (HSCs). However, it is not known whether the placenta...
Sponges are a historically ambiguous taxon, often considered primitively simple representatives of early Metazoa, living fossils from the era before the complex morphological features of the bilaterian phyla appeared in the Cambrian. Yet recent...
Space and time in language. ; Space perception. ; Figure-ground perception. ; Psycholinguistics.
Across languages, there exists a relatively small number of spatial prepositions. These terms are used to express the infinite number of possible spatial locations of an unlimited number of different entities in the environment. Previous research...
This thesis describes the synthetic study of two biologically related natural products: porphobilinogen (PBG) and cobyric acid. PBG is the key intermediate in the biosynthesis of all naturally occurring tetrapyrrolic 'pigments of life', including...
Electronic data processing -- Distributed processing. ; Computer network architectures. ; Programming languages (Electronic computers) -- Semantics. ; Database management.
I tackle the problem of naming and sharing resources across administrative boundaries. Conventional systems manifest the hierarchy of typical administrative structure in the structure of their own mechanism. While natural for communication that...
The role of Hedgehog (HH) signaling in bladder cancer is controversial. The HH receptor and negative regulator Patched1 (PTCH1) resides on a region of chromosome 9q, one copy of which is frequently lost in bladder cancer. Inconsistent with PTCH1...
Little is known about the emergence of life from nonliving precursors. A key missing- piece is the origin of homochirality: nearly all life is characterized by exclusively dextrorotary sugars and levorotary amino acids. The research presented in...
As the visual effect and movie industries are striving for realism and high fidelity images, physically based lighting, global illumination, realistic materials, and highly tessellated geometry are gradually accepted and used in movie and game...
During our fieldwork with real-world organizations---including those in Public Key Infrastructure (PKI), network configuration management, and the electrical power grid---we repeatedly noticed that security policies and related security artifacts...