Peter Deuflhard
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Mathematics
Peter Deuflhard's Degrees
- PhD Mathematics University of Bonn
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(Suggest an Edit or Addition)Peter Deuflhard's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms (2011) (714)
- Newton Methods for Nonlinear Problems (2004) (595)
- Robust Perron cluster analysis in conformation dynamics (2005) (458)
- A modified Newton method for the solution of ill-conditioned systems of nonlinear equations with application to multiple shooting (1974) (457)
- One-step and extrapolation methods for differential-algebraic systems (1987) (449)
- A Direct Approach to Conformational Dynamics Based on Hybrid Monte Carlo (1999) (399)
- Scientific Computing with Ordinary Differential Equations (2002) (307)
- Concepts of an adaptive hierarchical finite element code (1989) (290)
- Recent progress in extrapolation methods for ordinary differential equations (1985) (277)
- Affine Invariant Convergence Theorems for Newton’s Method and Extensions to Related Methods (1979) (270)
- Identification of almost invariant aggregates in reversible nearly uncoupled Markov chains (2000) (268)
- Computational Molecular Dynamics: Challenges, Methods, Ideas (1999) (241)
- The cascadic multigrid method for elliptic problems (1996) (223)
- Order and stepsize control in extrapolation methods (1983) (201)
- Modelling of Chemical Reaction Systems (1981) (165)
- Simulation studies promote technological development of radiofrequency phased array hyperthermia. (1996) (164)
- Adaptivity in Space and Time for Reaction-Diffusion Systems in Electrocardiology (2006) (140)
- Large Scale Scientific Computing (1987) (135)
- A convergence analysis of iterative methods for the solution of nonlinear ill-posed problems under affinely invariant conditions (1998) (131)
- Clinical use of the hyperthermia treatment planning system HyperPlan to predict effectiveness and toxicity. (2003) (127)
- Transfer Operator Approach to Conformational Dynamics in Biomolecular Systems (2001) (123)
- Numerical Analysis in Modern Scientific Computing (2003) (120)
- Extrapolation Integrators for Quasilinear Implicit ODEs (1987) (114)
- A 3D statistical shape model of the pelvic bone for segmentation (2004) (113)
- A study of extrapolation methods based on multistep schemes without parasitic solutions (1979) (113)
- Numerical Treatment of Inverse Problems in Differential and Integral Equations: Proceedings of an International Workshop, Heidelberg, Fed. Rep. of Germany, August 30 - September 3, 1982 (2012) (107)
- Adaptive Multilevel Methods for Edge Element Discretizations of Maxwell's Equations (1997) (106)
- Computational treatment of polyreaction kinetics by orthogonal polynomials of a discrete variable (1989) (105)
- Clinical evaluation and verification of the hyperthermia treatment planning system hyperplan. (2000) (101)
- A stepsize control for continuation methods and its special application to multiple shooting techniques (1979) (99)
- Computation of Essential Molecular Dynamics by Subdivision Techniques (1996) (97)
- Numerical Analysis in Modern Scientific Computing: An Introduction (2003) (93)
- Efficient numerical path following beyond critical points (1987) (81)
- Affine conjugate adaptive Newton methods for nonlinear elastomechanics (2007) (80)
- A contact‐stabilized Newmark method for dynamical contact problems (2008) (79)
- Discrete transparent boundary conditions for the numerical solution of Fresnel's equation (1995) (78)
- Cascadic conjugate gradient methods for elliptic partial differential equations (1993) (72)
- Strategies for optimized application of annular-phased-array systems in clinical hyperthermia. (1991) (71)
- Asymptotic mesh independence of Newton-Galerkin methods via a refined Mysovskii theorem (1992) (69)
- Optimal control for a tuberculosis model with undetected cases in Cameroon (2015) (68)
- Finite-Element Simulation of Soft Tissue Deformation (2000) (68)
- Global inexact Newton methods for very large scale nonlinear problems (1991) (66)
- Adaptive Discrete Galerkin Methods Applied to the Chemical Master Equation (2008) (66)
- Anatomy- and physics-based facial animation for craniofacial surgery simulations (2004) (62)
- A modified continuation method for the numerical solution of nonlinear two-point boundary value problems by shooting techniques (1976) (62)
- Fast secant methods for the iterative solution of large nonsymmetric linear systems (1990) (60)
- A relaxation stratery for the modified Newton method (1975) (59)
- Efficient numerical simulation and identification of large chemical reaction systems (1986) (59)
- Antenna arrays in the SIGMA-eye applicator: interactions and transforming networks. (2001) (58)
- Influence of patient models and numerical methods on predicted power deposition patterns. (1999) (58)
- A mathematical model of the human menstrual cycle for the administration of GnRH analogues. (2013) (57)
- A complex mathematical model of the human menstrual cycle. (2007) (56)
- Computer Assisted Planning in Cranio-Maxillofacial Surgery (2006) (52)
- Thermal recovery after passage of the pulmonary circulation assessed by deconvolution. (1988) (51)
- Molecular Conformation Dynamics and Computational Drug Design (2004) (51)
- Adaptive finite element simulation of ventricular fibrillation dynamics (2009) (50)
- A high-resolution interpolation at arbitrary interfaces for the FDTD method (1998) (49)
- Advanced Extrapolation Methods for Large Scale Differential Algebraic Problems (1999) (48)
- Adaptive Numerical Solution of PDEs (2012) (44)
- Evaluation of segmentation algorithms for generation of patient models in radiofrequency hyperthermia. (1998) (44)
- Multiple Shooting Techniques Revisited (1983) (43)
- A 3-D tensor FDTD-formulation for treatment of sloped interfaces in electrically inhomogeneous media (2003) (42)
- Dynamic Dimension Reduction in ODE Models (1996) (40)
- Global Inexact Newton Multilevel FEM for Nonlinear Elliptic Problems (1998) (40)
- Larkin — A Software Package for the Numerical Simulation of LARge Systems Arising in Chemical Reaction KINetics (1981) (39)
- A monotone multigrid solver for two body contact problems in biomechanics (2007) (38)
- From Molecular Dynamics to Conformation Dynamics in Drug Design (2003) (38)
- Asymptotic Mesh Independence of Newton's Method Revisited (2004) (38)
- A biomechanical model for soft tissue simulation in craniofacial surgery (2001) (36)
- Numerical Identification of Selected Rate Constants in Large Chemical Reaction Systems (1985) (36)
- Aerosol formation in gas-liquid contact devices: Nucleation, growth and particle dynamics (2002) (35)
- Hierarchical Uncoupling-Coupling of Metastable Conformations (2002) (34)
- Recent Advances in Multiple Shooting Techniques (1980) (34)
- Experimental and numerical investigation of feed-point parameters in a 3-D hyperthermia applicator using different FDTD models of feed networks (2002) (33)
- A volume-surface integral equation method for solving Maxwell's equations in electrically inhomogeneous media using tetrahedral grids (1996) (32)
- Computation of periodic solutions of nonlinear odes (1984) (32)
- A Subspace Cascadic Multigrid Method for Mortar Elements (2002) (32)
- A simple mathematical model of the bovine estrous cycle: follicle development and endocrine interactions. (2011) (32)
- Recent Developments in Chemical Computing (1990) (29)
- Stable Computation of Probability Densities for Metastable Dynamical Systems (2007) (29)
- Modelling and simulation of aerosol formation by heterogeneous nucleation in gas-liquid contact devices (2002) (27)
- Hyperthermia Treatment Planning in Clinical Cancer Therapy:Modelling, Simulation, and Visualization (1997) (27)
- Numerical Analysis: A First Course in Scientific Computation (1995) (26)
- Multiscale analysis of thermoregulation in the human microvascular system (2004) (26)
- Uniqueness Theorems for Stiff ODE Initial Value Problems. (1987) (25)
- A thin-rod approximation for the improved modeling of bare and insulated cylindrical antennas using the FDTD method (2003) (25)
- Parameter Identification in a Tuberculosis Model for Cameroon (2013) (25)
- A Study of the Gauss-Newton Method for the Solution of Nonlinear Least Squares Problems (1980) (24)
- Nonlinear Equation Solvers in Boundary Value Problem Codes (1978) (24)
- Adaptive Multilevel FEM as Decisive Tools in the Clinical Cancer Therapy Hyperthermia (1998) (23)
- Computational mathematics driven by industrial problems (2000) (23)
- On rank-deficient pseudoinverses (1980) (23)
- Massively Parallel Linearly-Implicit Extrapolation Algorithms as a Powerful Tool in Process Simulation (1997) (23)
- A New Nonlinear Elliptic Multilevel FEM Applied to Regional Hyperthermia (1998) (22)
- Adaptive Multigrid Methods for the Vectorial Maxwell Eigenvalue Problem for Optical Waveguide Design (2003) (21)
- Mathematical cancer therapy planning in deep regional hyperthermia* (2012) (20)
- Adaptive Algorithms in Dynamical Process Simulation (1996) (20)
- A new nonlinear elliptic multilevel FEM in clinical cancer therapy planning (2000) (19)
- On constitutive modeling of soft tissue for the long-term prediction of cranio-maxillofacial surgery outcome (2003) (18)
- Towards Dynamical Dimension Reduction in Reactive Flow Problems (1996) (18)
- Numerical approaches to treatment planning in deep RF-hyperthermia. (1989) (18)
- Differential equations in technology and medicine: Computational concepts, adaptive algorithms, and virtual labs (2000) (18)
- An underrelaxed gauss-newton method for equality constrained nonlinear least squares problems (1978) (18)
- Computational Molecular Dynamics: Challenges, Methods, Ideas: Proceedings of the 2nd International Symposium on Algorithms for Macromolecular Modellin (1999) (17)
- Visualization of the variability of 3D statistical shape models by animation. (2004) (17)
- Adaptive nonlinear elastic FEM for realistic prediction of soft tissue in craniofacial surgery simulations (2002) (17)
- Cascadic Multigrid Methods (1996) (16)
- An Advanced Simulation Package for Large Chemical Reaction Systems (1985) (16)
- SIMULATION OF AEROSOL FORMATION IN GAS-LIQUID CONTACT DEVICES (2007) (15)
- Towards a Realistic Simulation of Individual Facial Mimics (2001) (14)
- Inexact Central Path Following Algorithms for Optimal Control Problems (2007) (14)
- Automatic Identification of Metastable Conformations via Self-Organized Neural Networks (2002) (14)
- Realistic prediction of individual facial emotion expressions for craniofacial surgery simulations (2003) (14)
- A Guide to Numerical Modelling in Systems Biology (2015) (14)
- Mathematics in Facial Surgery (2006) (12)
- A Nonlinear Multigrid Eigenproblem Solver for the Complex Helmholtz Equation (1997) (12)
- Adaptive Pseudo-transient Continuation for Nonlinear Steady State Problems (2002) (12)
- A Short History of Newton's Method (2012) (12)
- Towards patient specific, anatomy based simulation of facial mimics for surgical nerve rehabilitation (2002) (12)
- Simulation studies promote technological development of radiofrequency phased array hyperthermia (2009) (12)
- A Perturbation Result for Dynamical Contact Problems (2009) (12)
- Validation of linear elastic model for soft tissue simulation in craniofacial surgery (2001) (12)
- Least Squares Problems: Gauss-Newton Methods (2011) (12)
- The Central Path towards the Numerical Solution of Optimal Control Problems (2001) (11)
- Kepler discretization in regular celestial mechanics (1980) (11)
- Parameter identification in large kinetic networks with BioPARKIN (2013) (11)
- Model-Free Uncalibrated Visual Servoing Using Recursive Least Squares (2008) (11)
- OCCAL: a mixed symbolic-numeric Optimal Control CALculator (1994) (11)
- Self-Organizing Maps Combined with Eigenmode Analysis for Automated Cluster Identification (1999) (11)
- A Multigrid Method for the Complex Helmholtz Eigenvalue Problem (1999) (11)
- Evaluation of monoexponential extrapolation of transpulmonary thermal-dye kinetics by use of a new model-free deconvolution algorithm. (1988) (11)
- On Efficiency and Accuracy in Cardioelectric Simulation (2010) (10)
- Towards Parameter Identification for Large Chemical Reaction Systems (1983) (10)
- MULTISCALE ANALYSIS FOR THE BIO-HEAT TRANSFER EQUATION - THE NONISOLATED CASE (2003) (10)
- GMERR - an Error Minimizing Variant of GMRES (1997) (10)
- Adaptive hierarchical cluster analysis by Self-Organizing Box Maps (2000) (9)
- Virtual Fibers: A Robust Approach for Muscle Simulation (2001) (9)
- Consistency results on Newmark methods for dynamical contact problems (2010) (9)
- Towards an Efficient Computational Treatment of Heterogeneous Polymer Reactions (1990) (8)
- Errata on "Robust Perron Cluster Analysis in Conformation Dynamics" (2006) (8)
- Efficient and Reliable Finite Element Methods for Simulation of the Human Mandible (2001) (8)
- Numerical Algorithms and Visualization in Medical Treatment Planning (1997) (8)
- Intensity limiting and stimulated Brillouin scattering in germanium (1968) (8)
- HyperPlan - an integrated system for treatment planning in regional hyperthermia (1996) (8)
- Three-Dimensional Finite Elements Mesh Generation for Numerical Simulations of Hyperthermia Treatments (1996) (7)
- Systematic design of antennas for cylindrical 3D phased array hyperthermia applicator (1999) (7)
- Soft Tissue Prediction in Computer Assisted Maxillofacial Surgery Planning (2005) (7)
- Towards an efficient numerical simulation of complex 3D knee joint motion (2013) (7)
- The Grand Four: Affine Invariant Globalizations of Newton’s Method (2018) (6)
- Discrete Transparent Boundary Conditions for Fresnel's Equation (1994) (6)
- A Hybrid Monte Carlo Method for Essential Molecular Dynamics (1998) (6)
- Adaptive timestep control for the contact-stabilized Newmark method (2011) (6)
- Antenna arrays in the SIGMA-eye applicator (2001) (5)
- Domain decomposition with subdomain CCG for material jump elliptic problems (1997) (5)
- A Note on Extrapolation Methods for Second Order ODE Systems. (1987) (5)
- Numerical Continuation of Periodic Orbits with Symmetry. (1994) (5)
- Recent Progress in Dynamical Process Simulation (1996) (5)
- Highly scalable parallel linearly-implicit extrapolation algorithms (1996) (5)
- Numerical Pathfollowing Beyond Critical Points in ODE Models (1987) (5)
- On the Thermoregulation in the Human Microvascular System (2003) (4)
- Consistency Results for the Contact-Stabilized Newmark Method 1 (2009) (4)
- A summation technique for minimal solutions of linear homogeneous difference equations (1977) (4)
- A NONLINEAR ELASTIC SOFT TISSUE MODEL FOR CRANIOFACIAL SURGERY SIMULATIONS (2002) (4)
- Modelling and simulation of aerosol formation in absorption processes (1998) (4)
- Model Development and Decomposition in Physiology (2008) (4)
- Adaptive Finite Element Simulation of Ventricular Dynamics (2009) (4)
- Modelling of chemical reaction systems : proceedings of an International Workshop, Heidelberg, Fed. Rep. of Germany, September 1-5, 1980 (1981) (4)
- Shape-based approach for the estimation of individual facial mimics in craniofacial surgery planning (2002) (3)
- Stochastic Versus Deterministic Numerical ODE Integration (1992) (3)
- ODE Models for Systems Biological Networks (2015) (3)
- FE-based heuristic approach for the estimation of person-specific facial mimics (2001) (3)
- Matheon-mathematics for Key Technologies (2014) (2)
- Scientific computing with ordinary differential equations. Transl. from the German by Werner C. Rheinboldt (2002) (2)
- Craniofacial Surgery Planning Based on Virtual Patient Models (2010) (2)
- Hyperthermia Treatment Planning in Clinical Therapy (1997) (2)
- Global Inexact Multilevel FEM for Nonlinear Elliptic Problems (1996) (2)
- Surface Mesh Generation for Numerical Simulations of Hyperthermia Treatments (1997) (2)
- Parameter Dependent Systems: Continuation Methods (2011) (2)
- More Mathematics into Medicine (2010) (2)
- Adaptive discrete Galerkin methods for macromolecular processes (1994) (2)
- A simple mathematical model of the bovine estrous cycle (2011) (2)
- A Study of Lanczos-Type Iterations for Symmetric Indefinite Linear Systems (1993) (2)
- 2nd International Symposium Algorithms for Macromolecular Modelling (1997) (2)
- Adaptive finite element codes for numerical calculations in hyperthermia treatment planning (1996) (2)
- A Refined Gauss-Newton- Mysovskii Theorem. (1991) (2)
- Systems of Equations: Global Newton Methods (2011) (1)
- A Comparison of Physical Models of Deformable Soft Tissue for Craniofacial Surgery Simulations (2003) (1)
- Mathematical Systems Biology at Zuse Institute Berlin (ZIB) (2010) (1)
- A Mixed Symbolic-Numeric Optimal Control CALculator (1)
- Patient-specific simulation of dynamic stress distribution in the human knee (2006) (1)
- A Comparison of Related Concepts in Computational Chemistry and Mathematics (2002) (1)
- Numerical analysis. A 1st course in scientific computation. Transl. from the German by F. A. Potra and F. Schulz (1995) (1)
- Moving Weight Galerkin Methods for Turbulent Reactive Flows (1994) (1)
- Numerical analysis and scientific computing in key technologies (2002) (1)
- Towards an Efficient Computational Treatment (1990) (1)
- Biomechanical modeling of individual facial emotion expressions (2002) (1)
- Large scale scientific computing : Proceedings of workshop held at the Oberwolfach Mathematical Institute (1987) (1)
- Existence and Uniqueness for Initial Value Problems (2002) (1)
- Efficient Stiff Integration of Density Driven Flow Problems (2018) (1)
- Affine Invariant Adaptive Newton Codes for Discretized PDEs (2002) (1)
- Progress Towards a Combined MRI Hyperthermia System (2000) (1)
- The Use of the Volume-Surface Integral Equation Method (VSIE) for Antenna Problems (1995) (1)
- 1 Mathematics in Medical Imaging 1 . 1 History of a success (2009) (0)
- Molecular Conformation Dynamics and Computational Drug Design 1 (2003) (0)
- Chapter 7. Adaptive Multigrid Methods for Linear Elliptic Problems (2012) (0)
- Commentary on Cornelius Lanczos’s Extended Boundary Value Problems (1999) (0)
- Mathematics in Berlin (1998) (0)
- Asymptotic Stability of Uncalibrated Eye-in-Hand Visual Servoing : An Affine Invariance Approach ? (2008) (0)
- Adaptive Control of One-Step Methods (2002) (0)
- 3D Phased Array Applicator for Hyperthermia Treatment in Pelvis (1999) (0)
- Adaptive multilevel finite element methods in virtual medicine (2012) (0)
- One-Step Methods for Nonstiff IVPs (2002) (0)
- Workshop "Scientific Computing in der Medizin" SCMED '97 (1997) (0)
- Linear and nonlinear least squares computing in view of control applications (1980) (0)
- Maxillofacial surgery planning with 3D soft tissue prediction - modeling, planning, simulation (2005) (0)
- Larkin - a Software Package for the Numerical Simulation of Large Systems Arising in Chemical Reaction Kinetics (27 Literaturangaben). (1982) (0)
- Chapter 5. Numerical Solution of Linear Elliptic Grid Equations (2012) (0)
- Condition of Initial Value Problems (2002) (0)
- Design of functional molecules (2014) (0)
- Numerical and Experimental Evaluation of E-Field and Absorbed Power in the Pelvic Region Using a Bone-Equivalent Phantom (1998) (0)
- 1 Adaptive Algorithms in Dynamical Process Simulation (2011) (0)
- Electromagnetic Field Calculations by Finite Elements (1997) (0)
- Chapter 3. Finite Difference Methods for Poisson Problems (2012) (0)
- Design and Optimization of Short Antennas for Phased-Array Hyperthermia Applicator (1998) (0)
- Letter from the editor (1989) (0)
- Computational Drug Design (2007) (0)
- Large Symmetric Systems of Equations and Eigenvalue Problems (2003) (0)
- Chapter 1. Elementary Partial Differential Equations (2012) (0)
- Massively Parallel Simulation in Chemical Engineering by Extrapolation Algorithms (1998) (0)
- Linear Least-Squares Problems (2003) (0)
- Numerical and Experimental Investigations of Different Antenna Types for Deep Body Hyperthermia (2001) (0)
- Chapter 8. Adaptive Solution of Nonlinear Elliptic Problems (2012) (0)
- The Berlin Extension of the Stanford Hyperthermia Treatment Planning Program (1994) (0)
- Treatment Planning and Simulation in Craniofacial Surgery with Virtual Reality Techiques (2000) (0)
- Time-Dependent Processes in Science and Engineering (2002) (0)
- One-Step Methods for Stiff ODE and DAE IVPs (2002) (0)
- Fast algorithms for the simulation of human knee joint motion (2012) (0)
- REVIEWS AND DESCRIPTIONS OF TABLES AND BOOKS (1997) (0)
- Chapter 4. Galerkin Methods (2012) (0)
- A Contact-Stabilized Newmark Method for (2006) (0)
- Numerical Treatment of Implicit Differential Equations and Differential Algebraic Systems (1989) (0)
- Adaptive Finite Element Simulation of Ventricular Fibrillation Dynamics 1 (2007) (0)
- Mathematics without pain (2014) (0)
- Three-Term Recurrence Relations (2003) (0)
- ODE Boundary Value Problems (2011) (0)
- Patient Models and Algorithms for Hyperthermia Planning (1997) (0)
- Systems of Equations: Local Newton Methods (2011) (0)
- Interpolation and Approximation (2003) (0)
- Power-User und Supercomputer (1999) (0)
- Simulation Studies for Combination of Hyperthermia and Magnetic Resonance Systems (1996) (0)
- Mathematik und Smog in Peking (2016) (0)
- An adaptive Galerkin method for the PDF transport equation of turbulent reactive flows (1996) (0)
- The Grand Four. (2017) (0)
- Boundary Value Problems for ODEs (2002) (0)
- New Features of HyperPlan, a Hyperthermia Planning System (1998) (0)
- First Clinical Experiences with the Hyperthermia Planning System HyperPlan (1997) (0)
- 1. Modified Discrete Laguerre Polynomials (2007) (0)
- 1 Efficient Stiff Integration of Density Driven Flow (2022) (0)
- Modelling and Parameter Identification of Tuberculosis in Cameroon (2013) (0)
- Computational mathematics as key technology (1995) (0)
- Chapter 6. Construction of Adaptive Hierarchical Meshes (2012) (0)
- The Grand Four: Affine Invariant Globalizations of Newton’s Method (2018) (0)
- Numerical Simulation of ODE Models (2015) (0)
- utteComputation of Essential Molecular Dynamicsby Subdivision Techniques (1996) (0)
- Stiff ODE Initial Value Problems (2011) (0)
- Chapter 9. Adaptive Integration of Parabolic Problems (2012) (0)
- Painters, Murderers, Mathematicians (2007) (0)
- Pittori, assassini, matematici (2005) (0)
- Nonlinear Systems and Least-Squares Problems (2003) (0)
- PDE Boundary Value Problems (2011) (0)
- Chapter 2. Partial Differential Equations in Science and Technology (2012) (0)
- Advanced mathematical modeling in systems biology (2014) (0)
- Commentary on Cornelius Lanczos’s Solution of Ordinary Differential Equations by Trigonometric Interpolation (1999) (0)
- An Individual Anisotropic and Inhomogeneous Material Description of the Human Mandible (2003) (0)
- Going Under the Knife with Mathematics (2009) (0)
- A nonlinear soft tissue model for craniofacial surgery simulations (2002) (0)
- Parameter Identification in ODE Models (2015) (0)
- Towards Adaptive Numerical Integration of Dynamical Contact Problems (2009) (0)
- Multistep Methods for ODE and DAE IVPs (2002) (0)
- 6 Drei-Term-Rekursionen (2008) (0)
- 7 Interpolation und Approximation (2008) (0)
- Stimulierte Brillouinstreuung in Germanium bei 10.6 μ (1968) (0)
- A Quantitative Comparison between the VSIE and the FDTD method using Electrically Equivalent Patient and Antenna Models (1997) (0)
- Advances in 3D osteotomy planning with 3D soft tissue prediction (2004) (0)
- SCEE Workshop Scientific Computing in Electrical Engineering (2012) (0)
- Korean-German Bilateral Symposium on Scientific Computing (2003) (0)
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