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In this paper we describe a novel concept for classification of complex parametric geometry based on the concept of the Divider Set. The Divider Set is an alternative concept to maximal disks, Voronoi sets and cut loci. The Divider Set is based on a formal definition relating to topology and differential geometry. In this paper firstly we discuss the formal definition of the Divider Set for complex 3-dimensional geometry. This is then followed by the introduction of a computationally feasible algorithm for computing the Divider Set for geometry which can be defined in explicit parametric form. Thus, an explicit solution form taking advantage of the special form of the parametric geometry is presented. We also show how the Divider Set can be computed for various complex parametric geometry by means of illustrating our concept through a number of examples

Design Analysis of the VCU Mainstage production process for The Nerd The comedic farce, The Nerd, written by Larry Shue and directed by Drew Fracher here at VCU, is the production I intend to analyze in terms of the scenic design process. From the initial conception of ideas, to their development through collaboration, to completion of construction, and ultimately, opening night, I plan to breakout my process step by step. I'd like to communicate the transformation of a literary play into the three-dimensional world in my mind.I. Introduction A. Overall description of process as it applies to this particular interaction with director and designers B. Each person involved in process and their specific roleII. Body A. Process breakdown B. Each insinuated step defined in a more concrete manner 1. play analysis by scenic designer 2. initial meeting with director to understand his/her interpretation and conceptual plans for play 3. research begins with previous steps in mind begins the collaborative effort 4. research presentation meeting with director 5. initial design ideas developed with input from director and interpreted into a floor plan or three-dimensional representation of the set 6. feedback from director 7. redesign or adjustments based on director's comments as well as functional and aesthetic developments 8. the build of the final design begins with the knowledge that contingencies remain that will create hopefully only small adjustments C. Although this breakdown may be somewhat matter of fact, the intricacies of the process I went through in designing the set for The Nerd will hopefully flush out the details into a more authentic realityIII. Conclusion A. My opinion of the process B. Personal feedback on the resulting design C. Positive experiences D. Negative experiences and how I would change them E. In the end, what I learned from the process and collaboration

Title: The analysis of speed of set by top volleyball players. Objectives: The aim of this work is a comparison between top world teams and a Czech national team in a speed of set, frequency of set to the volleyball zone's IV and II and in a success of an attack. Methods: The observe complex, which we compared is made by four top world volleyball teams (Brazil, Italy, USA and Russia) and by a Czech national team. We analyzed five matches by each team. In the results we can find out teams up to top 30 by ranking of FIVB. As an information source to how they play in speed of set, we used these teams. To get results we used indirect watching method by using a program Dartfish. To get results of a speed we needed a distance between two players (setter and attacker) which we get from the table of zones we created and time we timed by mentioned program. Results: The results are summarized in a clearly tables. The comparison of a speed set is divided from each zone of a court (table of zone which we made) into the volleyball zone IV and II. We find out that the speed of set from particular zones into the zone IV and II is not varied. The big difference in the results was the frequency of set and its opportunity of attack after quick set. Keywords: Volleyball, set, speed of set, frequency of set, success...

OFFSET ON BUSINESS TRANSACTIONS Topic of this thesis is set-off in commercial relations. It is structured in three main chapters which deal with the most relevant issues and problems related to set-off in commercial relations. Not only it analyzes the current state of law and case law but tries to interpret Act No 89/2012 Coll., New Civil Code. First part of the thesis aims at the preconditions for set-off. Firstly, the possibility of set-off of foreign currency claims in New Civil Code is discussed. It also reflects upon the long standing discussion of set-off of due rights against rights which are not due. Then it proceeds to new precondition for set-off - certainty of rights. Author of this thesis argues that such precondition refers to reasonable doubts as to the existence and value of the right. Second part of the thesis deals with set-off of two or more rights and obligations. Author analyzes problematic aspects of current case law which en bloc excludes such possibility with the result that notice of set-off has to be overly specific. Controversy of the current case law, moreover, lies in the fact that it contradicts the previous case law which (in the author's view correctly) do not excessively distinguish between set-off and performance of the obligations. Admittedly, some author's...

In the thesis, the author traces the historical development of descriptive set theory from the work of H. Lebesgue to the introduction of projective descriptive set theory. Proofs of most of the major results are given. Topics covered include Corel lattices, universal sets, the operation A, analytic sets, coanalytic sets, and the continuum hypothesis The appendix contains a translation of the famous letters exchanged between R. Baire, E. Borel, J. Hadamard and H. Lebesgue concerning Zermelo's axiom of choice.

In this dissertation we study closure properties of pointclasses, scales on sets of reals and the models L[T2n], which are very natural canonical inner models of ZFC. We first characterize projective-like hierarchies by their associated ordinals. This solves a conjecture of Steel and a conjecture of Kechris, Solovay, and Steel. The solution to the first conjecture allows us in particular to reprove a strong partition property result on the ordinal of a Steel pointclass and derive a new boundedness principle which could be useful in the study of the cardinal structure of L(R). We then develop new methods which produce lightface scales on certain sets of reals. The methods are inspired by Jackson’s proof of the Kechris-Martin theorem. We then generalize the Kechris-Martin Theorem to all the Π12n+1 pointclasses using Jackson’s theory of descriptions. This in turns allows us to characterize the sets of reals of a certain initial segment of the models L[T2n]. We then use this characterization and the generalization of Kechris-Martin theorem to show that the L[T2n] are unique. This generalizes previous work of Hjorth. We then characterize the L[T2n] in term of inner models theory, showing that they actually are constructible models over direct limit of mice with Woodin cardinals, a counterpart to Steel’s result that the L[T2n+1] are extender models, and finally show that the generalized contiuum hypothesis holds in these models, solving a conjecture of Woodin.