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Technical Report: Computation on the Extended Complex Plane and Conformal Mapping of Multiply-connected Domains

Valentin V. Andreev, Dale Daniel, Timothy H. McNicholl
2008 Electronical Notes in Theoretical Computer Science  
Applications to Möbius transformations, boundaries of multiply connected domains, and conformal mapping of multiply connected domains are considered.  ...  We introduce a system for computation on the extended complex plane based on the Type-Two Effectivity approach to computable analysis.  ...  This leads us to consider computation on the extended complex plane (i.e. the Riemann sphere) which is the mathematically most convenient setting for the study of conformal mapping.  ... 
doi:10.1016/j.entcs.2008.12.012 fatcat:p7epql6k6nhhpocpdgd4zd4zbe

QUBIC Technical Design Report [article]

J. Aumont, S. Banfi, P. Battaglia, E.S. Battistelli, A. Baù, B. Bélier, D.Bennett, L. Bergé, J.Ph. Bernard, M. Bersanelli, M.A. Bigot-Sazy, N. Bleurvacq (+85 others)
2017 arXiv   pre-print
and the control of systematics allowed by the observation of interference fringe patterns, while operating at two frequencies to disentangle polarized foregrounds from primordial B mode polarization.  ...  Its characteristics are described in details in this Technological Design Report.  ...  feed horn ID-53. 64 Figure 64 : 6464 maps of the fringes are plotted in Figure Maps of power on the on-axis focal plane array considering a tangential couple of feed horns (Top panels) and a sagittal  ... 
arXiv:1609.04372v2 fatcat:kiwyptwgn5elhklgaeg4c7mtw4

IEEE Reliability Society Technical Operations Annual Technology Report for 2008

2009 IEEE Transactions on Reliability  
The 2008 Annual Technology  ...  ACKNOWLEDGMENT The author would like to thank his mentor Dr. Henning Leidecker, NASA Goddard Space Flight Center, for his guidance, contributions, and technical support.  ...  One approach is through Technical Interest Groups (TIG) that can act as a medium for focused technology interchange, and connectivity across business units to gather and disseminate technical knowledge  ... 
doi:10.1109/tr.2009.2020845 fatcat:mt4ppqhpyrcbbkofg5bbjinrie

Technical Design Report for the PANDA Solenoid and Dipole Spectrometer Magnets [article]

The PANDA Collaboration: W. Erni, B. Krusche, O. Wang, T. Held, M. Steinke, M. Bragadireanu, F. Giacoppo, E. Bialkowski, A. Kozela, A. Szczurek, E. Lisowski, B. Kamys (+88 others)
2009 arXiv   pre-print
This document is the Technical Design Report covering the two large spectrometer magnets of the PANDA detector set-up. It shows the conceptual design of the magnets and their anticipated performance.  ...  It precedes the tender and procurement of the magnets and, hence, is subject to possible modifications arising during this process.  ...  sembled by means of screwing and welding.  ... 
arXiv:0907.0169v1 fatcat:opy5fxoqcrfn7fesrragfoo6pq

Entanglement entropy and quantum field theory: a non-technical introduction [article]

Pasquale Calabrese, John Cardy
2005 arXiv   pre-print
In these proceedings we give a pedagogical and non-technical introduction to the Quantum Field Theory approach to entanglement entropy.  ...  Particular attention is devoted to the one space dimensional case, with a linear dispersion relation, that, at a quantum critical point, can be effectively described by a two-dimensional Conformal Field  ...  Acknowledgments This work was supported in part by the EPSRC under Grant GR/R83712/01.  ... 
arXiv:quant-ph/0505193v1 fatcat:e2vbfnrcffdq7cv4cum3jc3upy

The International Linear Collider Technical Design Report - Volume 2: Physics [article]

Howard Baer (University of Oklahoma, Department of Physics and Astronomy), Tim Barklow , Andre Hoang, Shinya Kanemura, Heather E. Logan, Andrei Nomerotski, Maxim Perelstein, Michael E. Peskin, Sabine Riemann, Tim M. P. Tait , Jaehoon Yu (University of Texas, Center for Accelerator Science and Technology)
2013 arXiv   pre-print
The International Linear Collider Technical Design Report (TDR) describes in four volumes the physics case and the design of a 500 GeV centre-of-mass energy linear electron-positron collider based on superconducting  ...  The accelerator can be extended to 1 TeV and also run as a Higgs factory at around 250 GeV and on the Z0 pole.  ...  Acknowledgements We acknowledge the support of BMWF, Austria; MinObr, Belarus; FNRS and FWO, Belgium; NSERC, Canada; NSFC, China; MPO CR and VSC CR, Czech Republic; Commission of the European Communities  ... 
arXiv:1306.6352v1 fatcat:tji73zemdrgwfbdqzsdjn56coq

ResFrac Technical Writeup [article]

Mark McClure, Charles Kang, Soma Medam, Chris Hewson, Egor Dontsov, Ankush Singh
2022 arXiv   pre-print
This document provides a detailed technical description of the code, along with validation simulations to confirm numerical accuracy.  ...  It also includes stress shadowing from fracture propagation and porothermoelastic responses from pressure change in the matrix.  ...  The compositional model is more realistic but is more computationally intensive and more complex to set up.  ... 
arXiv:1804.02092v11 fatcat:4ipjpd3r5fhutd6tu3nqtrw6zi

A Guide to Stochastic Löwner Evolution and Its Applications

Wouter Kager, Bernard Nienhuis
2004 Journal of statistical physics  
To understand SLE sufficient knowledge of conformal mapping theory and stochastic calculus is required. This material is covered in the appendices.  ...  We also explain how the connection can be made between SLE and the discrete models whose scaling limits it describes, or is believed to describe.  ...  A.3 Conformal maps of the upper half-plane In this subsection we study conformal maps of a domain D onto the complex upper half-plane À.  ... 
doi:10.1023/b:joss.0000028058.87266.be fatcat:wyoowceksnf2jovwniyirkwtja

Technical Design Report EuroGammaS proposal for the ELI-NP Gamma beam System [article]

O. Adriani, S. Albergo, D. Alesini, M. Anania, D. Angal-Kalinin, P. Antici, A. Bacci, R. Bedogni, M. Bellaveglia, C. Biscari, N. Bliss, R. Boni, M. Boscolo (+93 others)
2014 arXiv   pre-print
The machine described in this document is an advanced Source of up to 20 MeV Gamma Rays based on Compton back-scattering, i.e. collision of an intense high power laser beam and a high brightness electron  ...  This document illustrates the Technical Design finally produced by the EuroGammaS Collaboration, after a thorough investigation of the machine expected performances within the constraints imposed by the  ...  As it's been the support and encouragement, 24 throughout these last couple years of endeavoring the preparation of this document, from the President of INFN, Fernando Ferroni, to whom we address our gratitude  ... 
arXiv:1407.3669v1 fatcat:v5ymizhq3nb75bkcyhltnograq

Progress in Surface Theory

Uwe Abresch, Franz Pedit, Masaaki Umehara
2013 Oberwolfach Reports  
The workshop hosted talks on the resolutions of famous conjectures in surface geometry, including the Willmore conjecture, and on exciting new progress in the understanding of moduli spaces of special  ...  At the same time surface geometry became a platform on which seemingly different areas of mathematics -such as geometric and topological analysis, integrable systems, algebraic geometry of curves, and  ...  This map Φ has the crucial property that its restriction to ∂I 4 × {1/2} is a homotopically nontrivial map into the space of oriented great spheres, which is homeomorphic to S 3 .  ... 
doi:10.4171/owr/2013/21 fatcat:4nd7xuprrneflftqjb26xtnzji

2D growth processes: SLE and Loewner chains

Michel Bauer, Denis Bernard
2006 Physics reports  
SLE is then introduced and Schramm's argument mapping conformally invariant interfaces to SLE is explained.  ...  This review has been written with the aim of filling the gap between the mathematical and the physical literatures on the subject.  ...  Acknowledgements: We benefited from discussions with many of our colleagues.  ... 
doi:10.1016/j.physrep.2006.06.002 fatcat:vahjyrl3z5haffla3gwhm7ut4a

Deliverable 1.1 Technical Blueprint for Vertical Use Cases and Validation Framework

FUDGE-5G Partners
2021 Zenodo  
The use cases addressed are: (i) Concurrent Media Delivery, (ii) Public Protection and Public Relief (PPDR), (iii) 5G Virtual Office, (iv) Industry 4.0, (v) Interconnected NPNs.  ...  This document describes the five use cases that are the targets for 5G Non-Public Network (NPN) developments within the FUDGE-5G project.  ...  Page 83 of 85 D1.1 Technical Blueprint for Vertical Use Cases and Validation Framework  ... 
doi:10.5281/zenodo.4719729 fatcat:vlqdczufibfqzchyfzdrybds44

Nonstandard Finite Element Methods

Susanne Brenner, Carsten Carstensen, Peter Monk
2008 Oberwolfach Reports  
These "non-standard" finite element methods are the subject of this Oberwolfach workshop. The extended abstracts here represent a snapshot of a varied and quickly evolving field.  ...  The mathematical analysis of standard conforming finite elements is very well advanced giving rise to highly efficient codes particularly for elliptic problems.  ...  The computational results seem very promising. We consider a further, more detailed analysis of the discretization method as well as the iterative solver is a challenging task.  ... 
doi:10.4171/owr/2008/36 fatcat:n524fqo2ojafngsmk3xef2vtlm

On a Canonical Quantization of 3D Anti de Sitter Pure Gravity [article]

Jihun Kim, Massimo Porrati
2015 arXiv   pre-print
After explicitly computing the Kaehler form for the torus with one boundary component and after extending that result to higher genus, we recover known results, such as that wave functions of SL(2,R) Chern-Simons  ...  The Hilbert space of pure gravity is shown to be the target space of Conformal Field Theories with continuous spectrum and a lower bound on operator dimensions.  ...  Teschner and E. Witten for useful discussions and suggestions accumulated over the course of the several years that this paper took to materialize.  ... 
arXiv:1508.03638v3 fatcat:4qtnizzq7ja75elwize7v3yaxm

Computation of eigenmodes on a compact hyperbolic 3-space

Kaiki Taro Inoue
1999 Classical and quantum gravity  
To evaluate the CMB anisotropy in multiply-connected compact cosmological models, one needs to compute the eigenmodes of the Laplace-Beltrami operator.  ...  The computed eigenmodes are expanded in terms of eigenmodes on the unit three-dimensional pseudosphere.  ...  If one put planes on the equidistant points on the segments at right angle, then one obtains the fundamental domain enclosed by the 16 planes.  ... 
doi:10.1088/0264-9381/16/10/304 fatcat:vub6gpjxxvejvhvwsjaq3gn6ne
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