Winkeltreue zahlt sich aus

Oberwolfach'tan

Winkeltreue zahlt sich aus

Nicht nur Seefahrerinnen, auch Computergrafikerinnen und Physikerinnen wissen Winkeltreue zu schätzen. Doch beschränkte Rechenkapazitäten und Vereinfachungen in theoretischen Modellen erfordern es, winkeltreue Abbildungen nur mit einer überschaubaren Datenmenge zu beschreiben. Entsprechende Theorien werden in der diskreten Mathematik untersucht. Im Folgenden lade ich Sie auf eine Reise in die faszinierende Welt der winkeltreuen Abbildungen ein.

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Matematiksel konular

Analiz
Ayrık Matematik ve Matematiğin Temelleri
Geometri ve Topoloji

Diğer alanlarla ilişkiler

Bilgisayar Bilimeri
Fizik

Yazar(lar)

Felix Günther

Lisans

DOI (Dijital nesne belirteci)

10.14760/SNAP-2017-001-EN

PDF indir

snapshot-2017-001.pdf

PDF

snapshots: overview

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4 = 2 × 2, or the power of even integers in Fourier analysis
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Algebras and quantum games
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Felder und Räume: Symmetrie und Lokalität in Mathematik und theoretischen Wissenschaften
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The periodic tables of algebraic geometry
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Patterns and waves in theory, experiment, and application
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Closed geodesics on surfaces
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Characterizations of intrinsic volumes on convex bodies and convex functions
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A tale of three curves
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What is Pattern?
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Representations and degenerations
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Solving inverse problems with Bayes’ theorem
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Jewellery from tessellations of hyperbolic space
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Seeing through rock with help from optimal transport
David A. Craven
Searching for the Monster in the Trees
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The Robinson–Schensted algorithm
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Lagrangian mean curvature flow
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Finite geometries: pure mathematics close to applications
Francesca Arici, Bram Mesland
Describing distance: from the plane to spectral triples
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Quantum symmetry
Fadoua Balabdaoui, Yulia Kulagina
The Enigma behind the Good–Turing formula
Anna Haensch
Reflections on hyperbolic space
Isaac Goldbring
Ultrafilter methods in combinatorics
Gandalf Lechner
Zopfgruppen, die Yang–Baxter-Gleichung und Unterfaktoren
Baptiste Rognerud
Invitation to quiver representation and Catalan combinatorics
Po-Ling Loh
Searching for structure in complex data: A modern statistical quest
David Kerr
C∗-algebras: structure and classification
Sara Lamboglia, Martin Ulirsch
From the dollar game to the Riemann-Roch Theorem
Steven Rayan, Laura P. Schaposnik
Higgs bundles without geometry
Behrend Heeren, Martin Rumpf
Shape space - a paradigm for character animation in computer graphics
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Rotating needles, vibrating strings, and Fourier summation
Moritz Weber
Quantum symmetry
Christian Berg
Determinacy versus indeterminacy
Jayadev S. Athreya, David Aulicino
Vertex-to-Self Trajectories on the Platonic Solids
Gianluca Finocchio
Random matrix theory: Dyson Brownian motion
Holger Kammeyer, Roman Sauer
From Betti numbers to l2-Betti numbers
Martin J. Gander
Is it possible to predict the far future before the near future is known accurately?
Jan-Bernhard Kordaß
The Interaction of Curvature and Topology
barbara Kaltenbacher, Igor Kukavica, Irena Lasiecka, Roberto Triggianti, Amjad Fuffaha, Justin Weber
The Mathematics of Fluids and Solids
Jake Fillman, Tom van den Boom
A surprising connection between quantum mechanics and shallow water waves
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Formation Control and Rigidity Theory
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Expander graphs and where to find them
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Deep Learning and Inverse Problems
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Mixed-dimensional models for real-world applications
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Touching the transcendentals: tractional motion from the birth of calculus to future perspectives
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Analogue mathematical instruments: Examples from the “theoretical dynamics” group (France, 1948–1964)
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Configuration spaces and braid groups
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Limits of graph sequences
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On Logic, Choices and Games
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Nonlinear Acoustics
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Random permutations
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Algebra, matrices, and computers
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Positive Scalar Curvature and Applications
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Diophantine equations and why they are hard
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On radial basis functions
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Snake graphs, perfect matchings and continued fractions
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Estimating the volume of a convex body
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Mixed volumes and mixed integrals
Filippo Santambrogio
A short story on optimal transport and its many applications
Sebastian Schönnenbeck
Number theory in quantum computing
Matthias Morzfeld, Sebastian Reich
Data assimilation: mathematics for merging models and data
Claus Hertling
Geometry behind one of the Painlevé III differential equations
Antonio Lerario
The codimension
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The mathematics of aquatic locomotion
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Tropical geometry
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Fast Solvers for Highly Oscillatory Problems
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Topological Complexity, Robotics and Social Choice
Thomas Sauer
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Computing with symmetries
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Topological recursion
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The Algebraic Statistics of an Oberwolfach Workshop
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Solving quadratic equations in many variables
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Mathematics plays a key role in scientific computing
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Spaces of Riemannian metrics
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Computational Optimal Transport
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A few shades of interpolation
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Molecular quantum dynamics
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Closed geodesics on surfaces and Riemannian manifolds
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Mathematische Modellierung von Krebswachstum
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Aperiodic Order and Spectral Properties
Lukas Pottmeyer
News on quadratic polynomials
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Winkeltreue zahlt sich aus
Jacob Bedrossian
Towards a Mathematical Theory of Turbulence in Fluids
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Profinite groups
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The adaptive finite element method
Steven Klee
Footballs and donuts in four dimensions
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The Willmore Conjecture
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Prime Tuples in Function Fields
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Polyhedra and commensurability
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Symmetry and characters of finite groups
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On the containment problem
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Swarming robots
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Quantum diffusion
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Chaos and chaotic fluid mixing
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Friezes and tilings
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Zero-dimensional symmetry
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Minimizing energy
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Billiards and flat surfaces
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Operator theory and the singular value decomposition
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The Kadison-Singer problem
Ragnar-Olaf Buchweitz, Eleonore Faber
Swallowtail on the shore
Howell Tong
Statistics and dynamical phenomena
Brian Harbourne, Thomas Szemberg
Arrangements of lines
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What does ">" really mean?
Harald Helfgott
The ternary Goldbach Problem
Wolfgang Lerche
Matrixfaktorisierungen
John E. McCarthy
Dirichlet Series

Matematiksel konular

Cebir ve Sayılar Kuramı
Analiz
Eğitim ve Eğitim Bilimi
Ayrık Matematik ve Matematiğin Temelleri
Geometri ve Topoloji
Nümerik ve Hesap Analizi
Olasılık Kuramı ve İstatistik

Diğer alanlarla ilişkiler

Kimya ve Yer Bilimler
Bilgisayar Bilimeri
Mühendislik ve Teknoloji
Finans
Beşeri ve Sosyal Bilimler
Yaşam Bilimleri
Fizik
Matematik Üzerine Düşünceler

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