In graph theory, as in many fields of mathematics, one is often interested in finding the maxima or minima of certain functions and identifying the points of optimality. We consider a variety of functions on graphs and hypegraphs and determine the structures that optimize them. A central problem in extremal (hyper)graph theory is that of finding the maximum number of edges in a (hyper)graph that does not contain a specified forbidden substructure. Given an integer n, we consider hypergraphs on n vertices that do not contain a strong simplex, a structure closely related to and containing a simplex. We determine that, for n sufficiently large, the number of edges is maximized by a star. We denote by F(G, r, k) the number of edge r-colorings of a graph G that do not contain a monochromatic clique of size k. Given an integer n, we consider the problem of maximizing this function over all graphs on n vertices. We determine that, for large n, the optimal structures are (k − 1)2-partite Turán graphs when r = 4 and k ∈ {3, 4} are fixed. We call a graph F color-critical if it contains an edge whose deletion reduces the chromatic number of F and denote by F(H) the number of copies of the specified color-critical graph F that a graph H contains. Given integers n and m, we consider the minimum of F(H) over all graphs H on n vertices and m edges. The Turán number of F, denoted ex(n, F), is the largest m for which the minimum of F(H) is zero. We determine that the optimal structures are supergraphs of Tur´an graphs when n is large and ex(n, F) ≤ m ≤ ex(n, F)+cn for some c > 0.

My dissertation involves a critique of the concept of life or seimei as it emerged in modern use during the Meiji era (1868-1912). Specifically, I have outlined the conditions of possibility for thinking seimei at particular moments in the development of the modern, market-centered Japanese nation-state in historical and literary terms such that I can begin to use these conditions to think its impossibilities. In short, I argue that a central condition of possibility for thinking life in its modern, historical form is a process of individuation that takes hold of and shapes bodies at an ontological level. By critiquing life and its ontology of individuation, I unearth the traces of an impossible “apriori collectivism” - that is, a collectivism not merely reducible to a congregation of individuals, but originally collective – buried under the calls for individual freedom, self-help, and industrialization that were at the heart of the Meiji era’s modernization project. I track this apriori collectivism in a lineage relating (through non-relation) the mutual aid societies or mujin-kô of the Edo period to the life insurance industry of the Meiji 10s and 20s. I then use this material history of life as backdrop to my study of the literary trends in the latter decades of the Meiji era, and end with a consideration of the political and aesthetic implications seimei has for thought by taking up a study of Iwano Hômei’s Shinpiteki hanjûshugi (Mystical Demi-animalism).

Thesis (M.L.A.)--University of Hong Kong, 2002. / Includes bibliographical references. Also available in print.

This dissertation describes separate but related studies that explore visual spatial learning and memory in Fragile X Syndrome. Across all studies, either the performance of individuals affected by FXS and/or fmr1 KO mice was compared to comparison controls on seven H-W mazes of increasing difficulty levels. Study one employed the traditional configuration of the H-W mazes to evaluate performance variables that include latency to complete the maze and number of the errors. The results of study 1 revealed significant differences in performance for both FXS groups as compared to mental age-matched comparison individuals and wild type mice, respectively. In contrast to the FXS group, performance of the comparison group improved as indicated by significantly fewer errors across trials. A similar pattern of results was observed when latency across trials was analyzed. Taken together, the results of study one support the hypothesis that a selective deficit in spatial learning and memory characteristic of the FXS phenotype can be observed in the murine model of FXS, if equivalent tasks are employed in testing humans and mice. Study two expanded on these findings by adding landmarks to the maze environment to evaluate how these may impact spatial learning and memory in fmr1 KO mice. Contrary to our hypotheses, landmarks significantly impaired wild type control performance. In addition, results revealed that the performance of the fmr1 KO mice generally did not differ between landmark and non-landmark tasks, indicating that the presence of landmarks neither enhanced nor hindered mouse performance. Lastly, study three entailed a more in-depth behavior analysis of maze navigation performance for FXS individuals from study 1. Consistent with the hypotheses and findings from study 1, results revealed significant differences in performance variables between individuals, with FXS participants generally performing worse than the comparison group participants. Taken together, the results of study 3 generally supported the hypothesis that there was greater impairment in performance for individuals affected by FXS as compared to controls. This impairment was evident in the pattern of pathways taken to solve H-W mazes, consistent with the notion that affected individuals employed different behavioral strategies.

abstract: ABSTRACT As a composer, Chou Wen-Chung (1923-2019) was a learner and inheritor of Chinese traditional music culture and was committed to carrying it forward. As a native of China who had his primary musical training in the West, Chou Wen-Chung was one of the first Chinese composers to make his mark on Western music. He successfully combined Western elements and Chinese tradition in his music. Chou Wen-Chung was one of the few prominent East Asian composers known in the Western musical world, and his music therefore has had a strong influence on other Chinese composers. In order to understand more clearly his music, I analyzed his chamber work: Yü Ko. This piece was composed in 1965 for 9 instruments: Violin, Alto Flute, English Horn, Bass Clarinet, 2 Trombones, 2 Percussion and Piano. Inspired by the ancient Chinese musical instrument the Qin (also called guqin, or “ancient qin”), which is a plucked seven-string instrument, Chou Wen-Chung composed Yü Ko. Literally meaning “fisherman’s song,” this work was composed originally for the Qin, based on a melody composed by Mao Min-Zhong who was a very noted scholar and Qin player of the late Southern Song dynasty (C.E.1127-1276). This paper provides Chou Wen-Chung’s biography, compositional styles and developments. It lists and explains the most common Chinese traditional cultural elements which he used in his compositions. In particular, it introduces the Qin in detail from the external structure, performance techniques, sound characteristics, the tablature notation, and compositional methods. This document also includes a detailed analysis of Yü Ko in terms of the orchestration, pitch, tonal material, structure and tempo, dynamic and musical materials, and explains Chou Wen-Chung’s imitation of the Qin as well as the influence of Western music shown in this piece. / Dissertation/Thesis / Doctoral Dissertation Music 2020

Diploma thesis on the theme „Quality management in small enterprise“ is engaged in quality management system in small and relatively short-time working company which deals with metal production. Thesis should help to My&Ko, s.r.o. firm with other creation and improvement of quality management system, subsequently it should serve as an instruction in procedure of the future certification by ISO 9001:2001.

The classical Erdös-Ko-Rado theorem states that if k≤ ⌊n/2⌋ then the largest family of pairwise intersecting k-subsets of [n]={1,. ,n} is of size (n-1 k-1). A family of k subsets satisfying this pairwise intersecting property is called an EKR family. We generalize the EKR property and provide asymptotic lower bounds on the size of the largest family A of k-subsets of [n] that satis es the following property: For each A,B,CεA, each of the four sets A∩B∩C; A∩B∩C̃; A∩B̃∩C;Ã ∩B∩C are non-empty. This generalized EKR (GEKR) property is motivated, generalizations are suggested, and a comparison is made with fixed weight 3-covering arrays. Our techniques are probabilistic, and reminiscent of those used in (A. Godbole, D. Skipper, and R. Sunley, Comb Prob Computing 5 (1996), 105-118) and in the work of Roux, as cited in (N. J. A. Sloane, J Comb Designs 1 (1993), 51-63).

The classical Erdos-Ko-Rado (EKR) Theorem states that if we choose a family of subsets, each of size k, from a fixed set of size (n > 2k), then the largest possible pairwise intersecting family has size t = (k-1n-1). We consider the probability that a randomly selected family of size t = tn has the EKR property (pairwise nonempty intersection) as n and k = kn tend to infinity, the latter at a specific rate. As t gets large, the EKR property is less likely to occur, while as t gets smaller, the EKR property is satisfied with high probability. We derive the threshold value for t using Janson's inequality. Using the Stein-Chen method we show that the distribution of X0, defined as the number of disjoint pairs of subsets in our family, can be approximated by a Poisson distribution. We extend our results to yield similar conclusions for Xi, the number of pairs of subsets that overlap in exactly i elements. Finally, we show that the joint distribution X0, X1, ⋯, Xb) can be approximated by a multidimensional Poisson vector with independent components.

This thesis is focused on waste management in Czech Republic and it´s pointing in near future. The goal of the thesis is to evaluate the waste management current situation in municipalities in area of MAS Třešťsko and based on detected information design proper waste management strategy which reflects prepared changes in legislation. The goal of the thesis is reached by evaluation of responds on basic questions related to waste management in municipalities, by analysis of waste production data in chosen municipalities and consequential suitable suggestions construction. These suggestions are framed to tending to fulfillment the targets arising from Waste Management Plan of ČR for period 2015-2024, Waste Management Plan of Highlands region for period 2016-2025 and suggested Czech and European legislation. Proposals are focused on edification, raising part of sorted secondary materials, declining the amount of mixed waste production and waste management infrastructure development. Waste management in municipalities in MAS Třešťsko will be more environmentally and also economically effective.

Understanding how nitrifiers react when exposed to low DO conditions could provide a greater understanding of low DO operations in full-scale biological wastewater treatment. Previous methods to observe nitrifier oxygen kinetics do exist in literature, however they are inefficient and labor intensive. Other more efficient methods require the use of selective inhibitors, which alter the characteristics of the biomass. This study developed a time and labor efficient respirometric method to distinctly measure oxygen half-saturation coefficients for both ammonia oxidizing bacteria (AOB) and nitrite oxidizing bacteria (NOB) without the use of selective inhibitors. By eliminating the use of inhibitory substances, representative biomass characteristics were maintained throughout the tests. The developed method, called the declining DO method, consisted of using a high-speed dissolved oxygen (DO) probe to measure relative oxygen uptake rates (OUR) within a batch reactor when varying substrates (ammonia and nitrite) were present in excess within the system. A forward model was developed based on Monod kinetics to simultaneously fit Monod curves to the experimental OUR data. These curves were fit by solving for optimum oxygen kinetic parameters representing endogenous respiration, NOB, and AOB. An inverse model using Markov chain Monte Carlo analysis was applied to the results found in the forward model to provide statistical validation of the proposed respirometric method. A separate method, called the substrate utilization rate test, was conducted in parallel with the declining DO tests to compare and verify oxygen half-saturation coefficient results. Parallel tests were conducted using biomass samples from three different Hampton Roads Sanitation District (HRSD) full-scale facilities. Operating conditions between the three HRSD facilities were considered when performing parallel testing, including averages for DO, solids retention time (SRT), and floc size. Average floc size was found to have a significant effect on the observed oxygen half-saturation values. Observed trends for the KO values estimated using the two methods remained consistent throughout all tests, where KO,NOB was always lower than KO,AOB. The comparison of the two methods highlighted some faults associated with the substrate utilization rate test, which is commonly used in literature to observe nitrifier oxygen kinetics. The declining DO method appeared to be more resistant to potential experimental error and required less than half the time compared to the substrate utilization rate test. The development of the declining DO method without the use of selective inhibitors provided a more time and labor efficient technique for estimating apparent KO values for NOB and AOB without sacrificing biomass characteristics representative of the full-scale treatment process. Biomass samples collected from variable treatment process conditions yielded consistent parallel test results, providing further evidence that the proposed declining DO method can be a robust and reliable technique for distinctly measuring apparent oxygen half-saturation values for NOB and AOB. / Master of Science / Wastewater treatment operations utilizing biological nitrogen removal (BNR) require a continuous supply of oxygen for aerobic processes. Energy costs associated with aeration generally accounts for at least 50% of the total energy consumption at conventional activated sludge wastewater treatment facilities. Operating aerobic zones at low average dissolved oxygen (DO) concentrations could be an effective way to significantly reduce aeration costs as well as material costs associated with BNR treatment processes. This study developed a method to measure oxygen kinetics for the two groups of autotrophic bacteria responsible for performing nitrogen removal. The method consisted of measuring relative oxygen uptake rates (OUR) within a batch reactor when varying substrates were available. This method is unique from previously developed techniques in that the use of selective inhibitors was not included, meaning the characteristics of the wastewater were largely unchanged and therefore better represent biomass conditions within the full-scale process. The results of the proposed method were verified using an alternate method for estimating oxygen kinetics. These two methods were conducted in parallel using biomass samples from several full-scale Hampton Roads Sanitation District wastewater treatment facilities utilizing a variety of process designs and operating conditions. Consistent results obtained between the two methods suggested the proposed method is an effective technique for distinctly measuring nitrifier oxygen kinetics.