The goal of this paper is to extend to infinite graphs the knownMorse inequalities for discrete Morse functions proved by R. Forman in the finite case. In order to get this result we shall use a special kind of infinite subgraphs on which a discrete Morse function is monotonous, namely, decreasing rays. In addition, we shall use this result to characterize infinite graphs by the number of criti...

Yanping Li Dr. ([email protected]) Sylvia H. Ley Dr. ([email protected]) Tyler J. VanderWeele Dr. ([email protected]) Gary C. Curhan Dr. ([email protected]) Janet W. Rich-Edwards Dr. ([email protected]) Walter C. Willett Dr. ([email protected]) John P. Forman Dr. ([email protected]) Frank B. Hu Dr. ([email protected]) Lu Qi Dr. (luqi@hs...

BS Theses (CmpE 491 and 492 Projects) Subjects Offered 1. Implementation of Group Key Agreement Protocol(s) in Mobile Ad-hoc Networks: There exist various implementations of Group Key Agreement Protocols in Mobile Ad-hoc Networks. However, the real life application of such protocols does not exist. In this study, implementation and design of a secure group key agreement protocol for MANETs will...

Recent advances in microsystems technology led to a miniaturization of cuff-electrodes, which suggests these electrodes not just for long-term neuronal recordings in mammalians, but also in medium-sized insects. In this study we investigated the possibilities offered by cuff-electrodes for neuroethology using insects as a model organism. The implantation in the neck of a tropical bushcricket re...

OBJECTIVE To evaluate whether the support offered by maternity hospitals is associated with higher prevalences of exclusive and predominant breastfeeding. METHODS This is a cross-sectional study including a representative sample of 916 infants less than six months who were born in maternity hospitals, in Ribeirao Preto, Sao Paulo, Southeastern Brazil, 2011. The maternity hospitals were evalua...

After giving the theoretical summary of the structure function method for the evaluation the thermal transient measurement results, the broad applicability of the method is demonstrated by practical examples. The first example shows how to control the quality of the die attachment or soldering of packages with fast transient measurements and subsequent evaluation. The second example presents ho...

It is proved that the critical cells of a discrete Morse function in the sense of Forman on a finite regular CW complex can always be detected by a polyhedral Morse function in the sense of Banchoff on an appropriate embedding in Euclidean space of the barycentric subdivision of the complex. The proof is stated in terms of discrete Morse functions on a class of posets that is slightly broader t...

Instrumental Thin-Layer Chromatography (or Planar Chromatography) is a modern separation technique, established worldwide and distinguished by flexibility, reliability and cost efficiency. Together with HPLC and GC it belongs to the microanalytical methods, which play an important role in research and routine laboratories. In many cases instrumental Thin-Layer Chromatography offers a more suita...