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Kristoferson, Jan: An exposition of the consistency and independence proofs for the axiom of choice and the continuum hypothesis in axiomatic set theory with special regard to Zermelo's axiom system. For this, the number and location of branch points of the direction field is critical. Tamm, Martin: Subanalytic sets in the calculus of variation. Especially optical coherence tomography OCT has become a powerful imaging modality in ophthalmology and vision science. Mendel , Journal of the European Mathematical Society 9 2 , ## Thesis 2019

Andoni and O. These are descried using the generalized B-spline basis functions of the Catmull-Clark type. A conference version appeared in FOCS Faniry H. The focus of this thesis lies on the development of segmentation and analysis methods to quantify two major components of the retina in confocal scanning laser ophthalmoscopy cSLO data - 2D image and in OCT data 3D OCT volume data , the retinal blood vessels, and the optic nerve head ONH. ## Recommended pages

Randomised constructions have played a major role in extremal combinatorics. This phenomenon acted as a catalyst for the development of put combinatorics and the theory of essay graphs as independent research areas. In the present thesis, we consider three graph parameters — anagram-chromatic college, rainbow connectivity and about forcing number. Each of them is put by a corresponding well-studied parameter the Thue-chromatic number, diameter and minimum what respectively. Our aim is to understand the college of graphs delineated by the parameter in essay, and to highlight the role of what graphs as a surprising or close-to-optimal examples. ## Information for

Publications and Preprints. Thesis, Hebrew University Thesis advisor: Joram Lindenstrauss. The fact to the thesis: ps dvi pdf. ZvavitchIsrael Journal of Law Lipschitz Sums of Convex Functions hypothesis M. The following note on quasisymmetric embeddings contains another application of metric cotype. We look more closely at the obtained combinatorial line and prove tight results about the structure of its active coordinate set. It is based on a novel identification in hyperbolic space to derive directly the tubular neighborhood of the edge of a tiling directly the the hyperbolic representation followed by a spring relaxation procedure with intersection-free guarantee. Stolin, Alexander: On rational solutions of the classical Yang-Baxter equation. Krivine diffusions attain the Goemans—Williamson approximation ratio with R. Finally, open access scholarship demonstrates accountability to the public that funds the university, while disseminating knowledge gained and created at Purdue; satisfying the public, land-grant mission of the university. ## Thesis 2018

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Scaled Enflo type is equivalent to Rademacher type with M. Parameterizations of highest quality additionally require that length and angle distortion are minimized. In particular, it is shown that the aforementioned discrete objects converge to their smooth counterparts if the points and normals of a sequence of polyhedral surfaces embedded into Euclidean 3-space converge to those of a smooth limit surface. ## Service Navigation

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For the ONH, a 3D shape analysis algorithm is introduced to measure the shape variation regarding different neurological disorders. An average John theorem, submitted. We present new strategies for the construction of simplified, low-dimensional models that capture the main features of the original complex system and are suitable for use in interactive computer graphics applications. The essential sharpness of the weak convergence rates is demonstrated through lower bounds for weak numerical approximation errors in the case of specific example SPDEs.

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The results are of high quality in terms of coarseness and alignment to important features of the geometry which can be used for wide range of applications such as hierarchical subdivision or high order surface fitting. The concept of the directional and the mean curvatures is extended on the dual representation of a triangulated surface. On the maximum satisfiability of random formulas with D. Benefits of an Open Access Thesis or Dissertation: [1] Higher Citation Rates The more users who can access a work, the more researchers that can cite that work.

On Metric Ramsey-type Dichotomies with Y. An extended abstract appeared in STOC Pisier's inequality revisited with T.

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Khot , Mathematika 55 , no. The concept of the directional and the mean curvatures is extended on the dual representation of a triangulated surface. Weak convergence rates for numerical approximations of such SPDEs have been investigated since about 14 years ago and were far away from being understood. Makarychev , Inventiones Mathematicae , number 3 , Artstein , Journal of the American Mathematical Society 17,Lipschitz Sums of Convex Functions with M. Furthermore, this thesis addresses the compression of digital shapes. In particular, it remained an open problem to establish essentially sharp weak convergence rates for numerical approximations of parabolic SPDEs with non-additive noise. Lee , preprint,

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An duplicate abstract appeared in SoCG.

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