Document | Downloads |

Mathematics under the Microscope | 357 |

An Exploration of the Relationship between Mathematics and Music | 331 |

Finite Elements and Fast Iterative Solvers: With Applications in Incompressible Fluid Dynamics | 286 |

The quadratic eigenvalue problem | 151 |

Computing the Nearest Correlation Matrix---A Problem from Finance | 101 |

Analysis of the Cholesky Decomposition of a Semi-definite Matrix | 81 |

Sylvester's Influence on Applied Mathematics | 63 |

Geometric structure in the tempered dual of the p-adic group SL(4) | 60 |

Two Dictionaries of Mathematics, 1679 and 1989 | 59 |

Dave Broomhead's 60th Birthday | 51 |

SDELab: stochastic differential equations with MATLAB | 46 |

Interval Analysis in Matlab | 45 |

The PlayStation 3 for High Performance Scientific Computing | 44 |

Computing the Polar Decomposition---with Applications | 44 |

An assessment of sustainable housing affordability using a multiple criteria decision making method | 43 |

Sloshing and slamming oscillations in collapsible channel flow | 41 |

Updating the QR factorization and the least squares problem | 41 |

Detecting the Causes of Ill-Conditioning in Structural Finite Element Models | 38 |

A Catalogue of Software for Matrix Functions. Version 1.0 | 35 |

On filling-in missing conditional probabilities in causal networks | 34 |

Roots of Stochastic Matrices and Fractional Matrix Powers | 33 |

Information Geometry: Near Randomness and Near Independence | 33 |

Embedding Nonlinear Dynamical Systems: A Guide to Takens' Theorem | 33 |

Accuracy and Stability of Numerical Algorithms | 32 |

Functions of Matrices: Theory and Computation | 31 |

MATLAB Toolbox for Classical Matrix Groups | 30 |

Workshop on Formal Methods for Aerospace (FMA) | 30 |

Reconstruction of Grounded Objects from Cauchy Data on a Plane | 28 |

Directions and equidistribution in homology for periodic orbits | 28 |

Cayley, Sylvester, and Early Matrix Theory | 28 |

Cholesky Factorization | 27 |

Stable and Efficient Spectral Divide and Conquer Algorithms for the Symmetric Eigenvalue Decomposition and the SVD | 27 |

The Scaling and Squaring Method for the Matrix Exponential Revisited | 27 |

A Review on the Numerical Solution of the 1D Euler Equations | 26 |

A Survey of Componentwise Perturbation Theory | 25 |

Colimits, Stanley-Reisner algebras, and loop spaces | 25 |

Computing a Nearest Correlation Matrix with Factor Structure | 25 |

Zolotarev quadrature rules and load balancing for the FEAST eigensolver | 25 |

An Invitation to Toric Topology: Vertex Four of a Remarkable Tetrahedron. | 24 |

Optimum Experimental Designs, With SAS | 24 |

An algorithm for quadratic eigenproblems with low rank damping | 23 |

Local Fusion Graphs for Sporadic Simple Groups | 23 |

Symplectic Amalgams | 22 |

Applications/Algorithms Roadmapping Activity. First Stage Final Report | 22 |

IT in university level mathematics teaching and learning: a mathematician's point of view | 22 |

Functions of Matrices | 22 |

A Preconditioned Newton Algorithm for the Nearest Correlation Matrix | 21 |

NLEVP: A Collection of Nonlinear Eigenvalue Problems | 21 |

An Interview with Peter Lancaster | 21 |

Three-Dimensional Transient Electromagnetic Modeling Using Rational Krylov Methods | 21 |

Unstable modes of the Q1-P0 element | 20 |

Hermitian Matrix Polynomials with Real Eigenvalues of Definite Type. Part I: Classification | 20 |

A brief historical perspective of the Wiener-Hopf technique | 19 |

Computing the Fréchet Derivative of the Matrix Exponential, with an application to Condition Number Estimation | 19 |

Part 1: the reconstruction problem | 19 |

Efficient sparse matrix multiple-vector multiplication using a bitmapped format | 18 |

The Scaling and Squaring Method for the Matrix Exponential Revisited | 18 |

Towards Dense Linear Algebra for Hybrid GPU Accelerated Manycore Systems | 18 |

A Survey of Condition Number Estimation for Triangular Matrices | 18 |

On the (Page)Ranking of Professional Tennis Players | 18 |

Matrix Functions: A Short Course | 18 |

Instabilities in supersonic compression ramp flow | 18 |

Computing Matrix Functions | 18 |

Geometric Mechanics and Symmetry: The Peyresq Lectures | 17 |

A New Scaling and Squaring Algorithm for the Matrix Exponential | 17 |

Optimization by direct search in matrix computations | 17 |

Golden gaskets: variations on the Sierpinski sieve | 16 |

A modified Cholesky algorithm based on a symmetric indefinite factorization | 16 |

Recent Developments in Dense Numerical Linear Algebra | 16 |

Comparison of 3D Image Reconstruction Techniques using Real Electrical Impedance Measurement Data | 16 |

Computing the Action of the Matrix Exponential, with an Application to Exponential Integrators | 16 |

The Effects of State Dependent and State Independent Probabilistic Updating on Boolean Network Dynamics | 16 |

A Note on Computing Involution Centralizers | 16 |

Fast solvers for discretized Navier-Stokes problems using vector extrapolation | 16 |

New Algorithms for Computing the Matrix Sine and Cosine Separately or Simultaneously | 16 |

The Small World Network Structure of Boards of Directors | 15 |

Notes on circulant matrices | 15 |

Matrix Computations in Basic on a Microcomputer | 15 |

An Interview with Gene Golub | 15 |

Fast polar decomposition of an arbitrary matrix | 15 |

Point vortices on the hyperbolic plane | 15 |

A truncated ILU smoother for multigrid preconditioning of convection dominated flow problems | 15 |

NLEIGS: A class of robust fully rational Krylov methods for nonlinear eigenvalue problems | 15 |

The reopening of a collapsed fluid-filled elastic tube | 15 |

Graded Manifolds and Drinfeld Doubles for Lie Bialgebroids | 14 |

Computing the Geodesic Interpolating Spline | 14 |

Hedging Strategies : Complete and Incomplete Systems of Markets | 14 |

A review of some recent work on hypercyclicity | 14 |

IFISS: A computational laboratory for investigating incompressible flow problems | 14 |

Numerical Conditioning | 13 |

L-packets and depth for SL_2(K) with K a local function field of characteristic 2 | 13 |

Reviving the Method of Particular Solutions | 13 |

THE MAXIMAL 2-LOCAL GEOMETRY FOR J4, II | 12 |

Optimal regulatory control of early contract termination | 12 |

Periodic solutions of discrete Volterra equations | 12 |

Local Fusion Graphs of Finite Groups | 12 |

Rule Systems for Runtime Verification: A Short Tutorial | 12 |

A Note on Auto-tuning GEMM for GPUs | 12 |

Efficient Algorithms for Computing the Condition Number of a Tridiagonal Matrix | 12 |

Image reconstruction in electrical impedance tomography | 12 |

Three-Dimensional Transient Electromagnetic Modeling Using Rational Krylov Methods | 12 |

The Matrix Unwinding Function, with an Application to Computing the Matrix Exponential | 12 |

Functions of Matrices | 12 |

Notes on lifting group actions | 12 |

Computing the Frechet Derivative of the Matrix Logarithm and Estimating the Condition Number | 12 |

K-theory and the connection index | 12 |

Classifying projective modules over some semilocal rings | 12 |

Max-Plus Singular Values | 12 |

Near-optimal perfectly matched layers for indefinite Helmholtz problems | 12 |

NLEVP: A Collection of Nonlinear Eigenvalue Problems | 11 |

Solving a quadratic matrix equation by Newton's method with exact line searches | 11 |

Computing $A^\alpha$, $\log(A)$ and Related Matrix Functions by Contour Integrals | 11 |

Algorithms for the Matrix Exponential and its Fr\'echet Derivative | 11 |

The equivariant cohomology of weighted projective spaces | 11 |

Structured Mapping Problems for Matrices Associated with Scalar Products Part I: Lie and Jordan Algebras | 11 |

Algorithm 866: IFISS, a Matlab toolbox for modelling incompressible flow | 11 |

Total Variation Regularization in Electrical Impedance Tomography | 11 |

The Ehrlich--Aberth Method for the Nonsymmetric Tridiagonal Eigenvalue Problem | 11 |

An Algorithm for the Complete Solution of Quadratic Eigenvalue Problems | 11 |

An interview with Paul Van Dooren | 11 |

A Schanuel property for exponentially transcendental powers | 11 |

A Parallel Divide and Conquer Algorithm for the Symmetric Eigenvalue Problem on Distributed Memory Architectures | 10 |

Efficient high-order rational integration and deferred correction with equispaced data | 10 |

Universal scaling of rotation intervals for quasi-periodically forced circle maps | 10 |

On Spherical Classes in H*QSn | 10 |

Scatter in an uncollimated x-ray CT machine based on a Geant4 Monte Carlo simulation | 10 |

Structured Matrix Nearness Problems: Theory and Algorithms | 10 |

Skew-symmetric matrix polynomials and their Smith forms | 10 |

Local Fusion Graphs for Symmetric Groups | 10 |

Dimensionality Reduction for Dynamical Systems with Parameters | 10 |

Standard Triples of Structured Matrix Polynomials | 10 |

Convergence of restarted Krylov subspace methods for Stieltjes functions of matrices | 10 |

A Study of Segregation in Granular Gravity Driven Free Surface Flows. | 10 |

Technical report on backward stability of polynomial root-finding using Fiedler companion matrices | 10 |

Efficient and stable Arnoldi restarts for matrix functions based on quadrature | 10 |

Efficient preconditioning of the linearized Navier-Stokes equations for incompressible flow | 10 |

PIFISS Potential (Incompressible) Flow & Iterative Solution Software guide | 10 |

Investigation of Properties of Some Inference Processes | 10 |

Free convection in liquid gallium | 10 |

Improved Inverse Scaling and Squaring Algorithms for the Matrix Logarithm | 10 |

The Conditioning of Linearizations of Matrix Polynomials | 10 |

Multifractal Structure of Bernoulli Convolutions | 10 |

Statistical Analysis and Time Series Models for Minimum/Maximum Temperatures in the Antarctic Peninsula | 10 |

Sheaves as essentially algebraic objects | 10 |

Implementation of QR Updating Algorithms on the GPU | 10 |

CICADA Collection | 10 |

Low-rank approximation and model reduction. | 10 |

Structured backward error and condition of generalized eigenvalue problems | 9 |

GREIT: towards a consensus EIT algorithm for lung images, | 9 |

The Solution of S exp(S) = A is Not Always the Lambert W Function of A | 9 |

Border collision bifurcations, snap-back repellers and chaos | 9 |

Using human immunodeficiency virus type 1 sequences to infer historical features of the acquired immune deficiency syndrome epidemic and human immunodeficiency virus evolution | 9 |

Steep capillary-gravity waves in oscillatory shear-driven flows | 9 |

Cross-Subtype T-Cell Immune Responses Induced by a Human Immunodeficiency Virus Type 1 Group M Consensus Env Immunogen | 9 |

Higher Order Frechet Derivatives of Matrix Functions and the Level-2 Condition Number | 9 |

Structured Linearizations for Matrix Polynomials | 9 |

Cayley, Sylvester, and Early Matrix Theory | 9 |

$J$-Orthogonal Matrices: Properties and Generation | 9 |

Backward Error of Polynomial Eigenproblems Solved by Linearization | 9 |

Longitudinal and Cross-Sectional Analysis of Cytotoxic T Lymphocyte (CTL) Responses and their Relationship to Vertical HIV Transmission | 9 |

The Polynomial Eigenvalue Problem | 9 |

Scaling, Sensitivity and Stability in the Numerical Solution of Quadratic Eigenvalue Problems | 9 |

An inverse boundary value problem for harmonic differential forms | 9 |

Efficient and stable Arnoldi restarts for matrix functions based on quadrature | 9 |

Depth and the local Langlands correspondence | 9 |

Critical exponents for groups of isometries | 9 |

Stable and Efficient Spectral Divide and Conquer Algorithms for the Symmetric Eigenvalue Decomposition and the SVD | 9 |

Mathematical abilities and mathematical skills | 9 |

Complex structure on the smooth dual of GL(n) | 9 |

Near-optimal perfectly matched layers for indefinite Helmholtz problems | 9 |

Performance analysis of asynchronous Jacobi's method implemented in MPI, SHMEM and OpenMP | 9 |

Spin-up of homogeneous and stratified fluids | 9 |

Optimal liquidation in limit order books under general uncertainties | 9 |

Algorithms for Hessenberg-Triangular Reduction of Fiedler Linearization of Matrix Polynomials | 9 |

The rational points of a definable set | 9 |

Preconditioning steady-state Navier-Stokes equations with random data | 9 |

Growth Curve Models and Statistical Diagnostics | 9 |

Testing matrix function algorithms using identities | 9 |

Ownership and Control: A Small-World Analysis | 9 |

Bifurcation and forced symmetry breaking in Hamiltonian systems | 8 |

A block algorithm for matrix 1-norm estimation, with an application to 1-norm pseudospectra | 8 |

Algebraic Topology of PDEs | 8 |

Classifying weighted projective spaces | 8 |

THE MAXIMAL 2-LOCAL GEOMETRY FOR J4, I | 8 |

The Complex Step Approximation to the Fréchet Derivative of a Matrix Function | 8 |

Model category structures arising from Drinfeld vector bundles | 8 |

How chaotic are strange nonchaotic attractors? | 8 |

The Generalized Singular Value Decomposition and the Method of Particular Solutions | 8 |

Growth-induced blisters in a circular tube | 8 |

Smith Forms of Palindromic Matrix Polynomials | 8 |

Standard Triples of Structured Matrix Polynomials | 8 |

Once again on the supersonic flow separation near a corner | 8 |

Numerical Linear Algebra in Statistical Computing | 8 |

Maximising the Size of Non-Redundant Protein Datasets Using Graph Theory | 8 |

Computing the Polar Decomposition and the Matrix Sign Decomposition in Matrix Groups | 8 |

Covariance Structure Regularization via Entropy Loss Function | 8 |

A Study of the Matrix Exponential | 8 |

Deflating Quadratic Matrix Polynomials | 8 |

The Hausdorff dimension of the projections of self-affine carpets | 8 |

Bounded super real closed rings | 8 |

Connectivity of Local Fusion Graphs for Finite Simple Groups | 8 |

Uses and abuses of EIDORS: An extensible software base for EIT | 8 |

State transitions in a model of intermittent seizure dynamics | 8 |

Tropical roots as approximations to eigenvalues of matrix polynomials | 8 |

A Comparison of Multivariable & Decentralized Control Strategies for Robust Humanoid Walking | 8 |

Computing $A^\alpha$, $\log(A)$ and Related Matrix Functions by Contour Integrals | 8 |

Review of ``Spectra and Pseudospectra: The Behavior of Nonnormal Matrices and Operators'', by Lloyd N. Trefethen and Mark Embree. Princeton University Press, Princeton, NJ, USA, 2005. | 8 |

Fast iterative solvers for buoyancy driven flow problems | 8 |

The Resource Valuation and Optimisation Model: Real Impact from Real Options | 8 |

Preconditioning stochastic Galerkin saddle point systems | 7 |

Enzyme kinetics informatics: from instrument to browser | 7 |

Limitations of the PlayStation 3 for High Performance Cluster Computing | 7 |

A collection of benchmark examples for model reduction of linear time invariant dynamical systems. | 7 |

A Formal Framework for User-centric Control of Multi-Agent Cyber-physical Systems | 7 |

An interview with Paul Van Dooren | 7 |

Performance Analysis of Asynchronous Parallel Jacobi | 7 |

Why are (the best) women so good at chess? Participation rates and gender differences in intellectual domains | 7 |

Blocking response surface designs | 7 |

Anomalous bubble propagation in elastic tubes | 7 |

Recovery Patterns for Iterative Methods in a Parallel Unstable Environment | 7 |

Phytoplankton biomass and residual nitrate in the pelagic ecosystem | 7 |

A GSVD formulation of a domain decomposition method for planar eigenvalue problems | 7 |

Computing Matrix Functions | 7 |

Blocked Schur Algorithms for Computing the Matrix Square Root | 7 |

Unusual phenomena in an extreme bushfire | 7 |

Nonuniqueness in diffusion-based optical tomography | 7 |

Computing $f(A)b$ for Matrix Functions $f$ | 7 |

A Schur--Parlett Algorithm for Computing Matrix Functions | 7 |

Analysis of the Cholesky Decomposition of a Semi-definite Matrix | 7 |

Homogenization Methods to Approximate the Effective Response of Random Fibre-reinforced Composites | 7 |

Structured Linearizations for Matrix Polynomials | 7 |

Estimating the Condition Number of the Frechet Derivative of a Matrix Function | 7 |

Unstructured finite element method for the solution of the Boussinesq problem in 3D | 7 |

Microarray Data Analysis Using Probabilistic Methods | 7 |

Mobius Transformations of Matrix Polynomials | 7 |

Chest Impedance Imaging Using Trigonometric Current Patterns | 7 |

Global structure of periodicity hubs in Lyapunov phase diagrams of dissipative flows | 7 |

Grothendieck Rings of Theories of Modules | 7 |

Two dimensional attractors in the border collision normal form | 7 |

Rank and order of a finite group admitting a Frobenius group of automorphisms | 7 |

Orbits on k-subsets of 2-transitive Simple Lie-type Groups | 7 |

Avoiding communication through a multilevel LU factorization | 6 |

On the difference \pi(x) - li(x) | 6 |

Capturing the essence of a metabolic network: A flux balance analysis approach | 6 |

Optimal Scaling of Random Walk Metropolis algorithms with Discontinuous target densities | 6 |

Parallel implementation of a symmetric eigensolver based on the Yau and Lu method | 6 |

Spectral equivalence of matrix polynomials and the index sum theorem | 6 |

On Coprimality Graphs for Symmetric Groups | 6 |

IFISS: A computational laboratory for investigating incompressible flow problems | 6 |

Fast Implicit Solvers using Stabilized Mixed Approximation | 6 |

Stochastic Resonance in Vision: Models and Data | 6 |

Using Mixed Precision for Sparse Matrix Computations to Enhance the Performance while Achieving 64-bit Accuracy | 6 |

A new bound for the smallest x with \pi(x) > li(x) | 6 |

A theory for particle size segregation in shallow granular free-surface flows | 6 |

Model reduction of switched dynamical systems | 6 |

An algebraic approach to time borrowing | 6 |

Magnetohydrodynamic convection in molten gallium | 6 |

A fast algorithm for spectral interpolation of sampled data | 6 |

A review of some recent work on hypercyclicity | 6 |

A Jacobi-Davidson type projection method for nonlinear eigenvalue problems | 6 |

Kinetic modelling of large-scale metabolic networks | 6 |

Backward error and condition of structured linear systems | 6 |

Optimal Staffing Policy: A Service System with Stochastic Travel Times | 6 |

Algorithms for Matrix Polynomials and Structured Matrix Problems | 6 |

Improved Inverse Scaling and Squaring Algorithms for the Matrix Logarithm | 6 |

An Iterative Method for Electrostatic Object Reconstruction in a Half Space | 6 |

Geometric structure for Bernstein blocks | 6 |

Characterising the shape and material properties of hidden targets from magnetic induction data | 6 |

A consensus yeast metabolic network reconstruction obtained from a community approach to systems biology | 6 |

Analysis of the Cholesky Method with Iterative Refinement for Solving the Symmetric Definite Generalized Eigenproblem | 6 |

Kinetic modelling of metabolic pathways: Application to serine biosynthesis | 6 |

On the positive region of \pi(x) - li(x) | 6 |

Duality of matrix pencils and linearizations | 6 |

Attractors near grazing-sliding bifurcations | 6 |

Hermitian Quadratic Matrix Polynomials: Solvents and Inverse Problems | 6 |

Building a kinetic model of trehalose biosynthesis in Saccharomyces cerevisiae | 6 |

Recent developments in the asymptotic theory of separated flows. Leverhulme lectures - lecture notes. | 6 |

A Schur-Newton Method for the Matrix p'th Root and its Inverse | 6 |

Continuous-Time Revenue Management in Carparks | 6 |

Reconstruction Algorithms for Permittivity and Conductivity Imaging | 6 |

Cylindrical Levy processes in Banach spaces | 6 |

Flux balance analysis: A geometric perspective | 6 |

Estimating the Condition Number of f(A)b | 6 |

Hybrid intelligent parameter estimation based on grey case-based reasoning for laminar cooling process | 6 |

Surface tension-driven convection patterns in two liquid layers | 6 |

Real-Time imaging with a high speed X-Ray CT system | 6 |

Routes to Chaos | 6 |

Flame propagation in a nonuniform mixture: analysis of a slowly varying triple flame | 6 |

Gaussian Elimination | 6 |

Bordism classes represented by multiple point manifolds of immersed manifolds | 6 |

Two efficient SVD/Krylov algorithms for model order reduction of large scale systems | 6 |

Multistability in the quasiperiodically forced circle map | 6 |

Why does yeast ferment? A flux balance analysis study | 6 |

Detecting and Solving Hyperbolic Quadratic Eigenvalue Problems | 6 |

Unsolved problems in group theory. The Kourovka notebook. No. 18 | 6 |

Nonlinear time series analysis of jerk congenital nystagmus | 5 |

Heights of characters in blocks | 5 |

Maximising the Size of Non-Redundant Protein Datasets Using Graph Theory | 5 |

Stability of a method for multiplying complex matrices with three real matrix multiplications | 5 |

Eigenvalue perturbation bounds for Hermitian block tridiagonal matrices | 5 |

Stochastic Integration for Levy Processes with Values in Banach Spaces | 5 |

An Improved Schur--Pade Algorithm for Fractional Powers of a Matrix and their Frechet Derivatives | 5 |

Analysis of Structured Polynomial Eigenvalue Problems | 5 |

A preconditioned MINRES method for nonsymmetric Toeplitz matrices | 5 |

oomph-lib — An Object-Oriented Multi-Physics Finite-Element Library | 5 |

Post processing for stochastic parabolic partial differential equations | 5 |

Investigating the Performance of Asynchronous Jacobi's Method for Solving Systems of Linear Equations | 5 |

The Generalized Singular Value Decomposition and the Method of Particular Solutions | 5 |

Computing the Action of the Matrix Exponential, with an Application to Exponential Integrators | 5 |

Tail behavior of the generalized Maxwell distribution | 5 |

The Steady Propagation of an Air Finger into a Rectangular Tube | 5 |

Mineral Reserves under Price Uncertainty | 5 |

Shock waves, dead-zones and particle-free regions in rapid granular free surface flows | 5 |

Geometric structure in smooth dual and local Langlands conjecture | 5 |

Differential formulations of Maxwell's equations in ansiotropic materials | 5 |

A posteriori error bounds for discrete balanced truncation | 5 |

Row-wise backward stable elimination methods for the equality constrained least squares problem | 5 |

On $\Sigma$-representability of countable structures over real numbers, complex numbers and quaternions | 5 |

Numerical solution of the Navier-Stokes equations for the flow in a cylinder cascade | 5 |

Ranking the Importance of Boards of Directors | 5 |

Stability analysis of algorithms for solving confluent Vandermonde-like systems | 5 |

Energy norm a posteriori error estimation for parametric operator equations | 5 |

A Recursive Blocked Schur Algorithm for Computing the Matrix Square Root | 5 |

Oscillations in the NF-κB Signaling Pathway | 5 |

On $p$th Roots of Stochastic Matrices | 5 |

Duality of matrix pencils and linearizations | 5 |

Elongated S-cone stimuli reveal the importance of the intermediate temporal filter | 5 |

Making big steps in trajectories | 5 |

Boundary-equilibrium bifurcations in piecewise-smooth slow-fast systems | 5 |

Reaction and Diffusion on the Sierpinski Gasket | 5 |

Shape Deformation in Two-Dimensional Electrical Impedance Tomography | 5 |

Involutions in the Automorphism Groups of Small Sporadic Simple Groups | 5 |

The exponential integrator scheme for stochastic partial differential equations: Pathwise error bounds | 5 |

Block preconditioners for linear systems arising from multilevel RBF collocation | 5 |

Multitype randomised Reed-Frost epidemics and epidemics upon random graphs | 5 |

EST_MINRES: An Optimal Iterative Solver for Symmetric Indefinite Systems stemming from Mixed Approximation | 5 |

Krylov subspace iterative techniques: on the detection of brain activity with electrical impedance tomography | 5 |

A Schur--Pad\'e Algorithm for Fractional Powers of a Matrix | 5 |

O-minimal structures | 5 |

Classification of symmetry groups for planar n-body choreographies | 5 |

A Note on Binary Inductive Logic | 5 |

Model theory and modules | 5 |

Topological Wiener-Wintner ergodic theorems via non-abelian Lie group extensions | 5 |

Fault Detection and Diagnosis for General Discrete-time Stochastic Systems Using Output Probability Density Estimation. | 5 |

Stability of Relative Equilibria of Point Vortices on the Sphere | 5 |

Finite Elements and Anisotropic EIT reconstruction | 5 |

When is a Hamiltonian matrix the commutator of two skew-Hamiltonian matrices? | 5 |

The influence of viscosity on the frozen wave stability: theory and experiment | 5 |

Structured Eigenvalue Condition Numbers | 5 |

Estimating Gramians of large-scale time-varying systems. | 5 |

Black-Box Preconditioning for Self-Adjoint Elliptic PDEs | 5 |

External Examiners | 5 |

Bifurcations of Snap-back Repellers with application to Border-Collision Bifurcations | 5 |

The emergence of reasons conjecture | 5 |

Weighted projective spaces and iterated Thom spaces. | 5 |

Symmetric Hamiltonian Bifurcations | 5 |

Finite $p$-groups with a Frobenius group of automorphisms whose kernel is a cyclic $p$-group | 5 |

Episodic, transient systemic acidosis delays evolution of the malignant phenotype: Possible mechanism for cancer prevention by increased physical activity | 5 |

Local-global principle for the Baum-Connes conjecture with coefficients | 5 |

Forays into Sequential Composition and Concatenation in EAGLE | 5 |

Lacunarity and Period-doubling | 5 |

A sufficient condition for the existence of Hamiltonian bifurcations with continuous isotropy | 5 |

Structured Eigenvalue Condition Numbers | 5 |

Mercator's projection, logarithm and seafaring | 5 |

The Jeffery-Hamel similarity solution and its relation to flow in a diverging channel | 5 |

The Determination of a Dynamic Cut-Off Grade for the Mining Industry | 4 |

Viscous linear stability analysis of rectangular duct and cavity flows | 4 |

On the ratio X/Y for some elliptically symmetric distributions | 4 |

Geometric structure in the representation theory of p-adic groups II | 4 |

$\varepsilon$-constants and equivariant Arakelov-Euler characteristics | 4 |

A Black-Box Multigrid Preconditioner for the Biharmonic Equation | 4 |

About a homoclinic pitchfork bifurcation in reversible systems with additional Z2-symmetry | 4 |

Iterative Fault Tolerant Control Based on Stochastic Distribution | 4 |

Fast iterative solvers for buoyancy driven flow problems | 4 |

Optimal Scaling for Random walk Metropolis on spherically constrained target densities | 4 |

The Hausdorff dimension of some random invariant graphs | 4 |

On the problem of stochastic integral representations of functionals of the Browian motion II | 4 |

A posteriori error bounds for discrete balanced truncation | 4 |

Toric genera | 4 |

Topics in Information Geometry | 4 |

Parameter-free H(div) preconditioning for mixed finite element formulation of diffusion problems | 4 |

Symmetric Linearizations for Matrix Polynomials | 4 |

Standard tableaux and Klyachko's Theorem on Lie representations | 4 |

Recursive calculation of dominant singular subspaces. | 4 |

Perturbation theory for homogeneous polynomial eigenvalue problems | 4 |

Local presentability of categories of sheaves of modules | 4 |

Optimal scaling of generalized and polynomial eigenvalue problems | 4 |

Magnetohydrodynamic damping of oscillations in low-Prandtl-number convection | 4 |

Review of Bridges from Classical to Nonmonotonic Logic by David Makinson | 4 |

Cell Death: Linear Control Analysis of Eissing's Model | 4 |

Shock wave interaction with viscous wake in supersonic flow | 4 |

Two-heteroclinic orbits emerging in the reversible homoclinic pitchfork bifurcation | 4 |

Collective Reasoning under Uncertainty and Inconsistency | 4 |

Tridiagonal-diagonal reduction of symmetric indefinite pairs | 4 |

Improved error bounds for underdetermined system solvers | 4 |

Deflating Quadratic Matrix Polynomials with Structure Preserving Transformations | 4 |

Capturing the essence of a metabolic network: A flux balance analysis approach | 4 |

Quasi-Monte Carlo estimation in generalized linear mixed models | 4 |

Error estimation and stabilization for low order finite elements | 4 |

Investment Lags: A Numerical Approach | 4 |

Definite Matrix Polynomials and their Linearization by Definite Pencils | 4 |

A short review on Landsberg spaces | 4 |

The principal angles and the gap | 4 |

A measure of the information content of EIT data | 4 |

Linear methods in the study of automorphisms | 4 |

Bubbles and crashes in a Black-Scholes model with delay | 4 |

Overshoots and undershoots of Lévy Processes | 4 |

Locally Finitely Presented Categories of Sheaves of Modules | 4 |

Hysteretic regime switching diffusions and resource extraction | 4 |

Detecting Juvenile Wood in Southern Pine Logs with Brush Electrodes | 4 |

Computing the Frechet Derivative of the Matrix Logarithm and Estimating the Condition Number | 4 |

Experience with a Matrix Norm Estimator | 4 |

Krull-Gabriel dimension of 1-domestic string algebras | 4 |

dqds with aggressive early deflation | 4 |

Noncommutative Fourier Analysis | 4 |

Stability of the diagonal pivoting method with partial pivoting | 4 |

Fiedler Companion Linearizations and the Recovery of Minimal Indices | 4 |

The Canonical Generalized Polar Decomposition | 4 |

Efficient order selection algorithms for integer valued ARMA processes | 4 |

Simple FEMs aren’t as good as we thought: experiences developing EIDORS v3.3 | 4 |

A Lemon is not a Monstar: visualization of singularities of symmetric second rank tensor fields in the plane. | 4 |

A New Scaling and Squaring Algorithm for the Matrix Exponential | 4 |

Symmetric Hamiltonian Bifurcations | 4 |

GPU-based solution of Continuous Time Markov Chains using CUSP | 4 |

Inverse problems in industry | 4 |

Metabolic Pathway Modeling by Using the Nearest Neighbor Algorithm | 4 |

Log-majorization of the moduli of the eigenvalues of a matrix polynomial by tropical roots | 4 |

Recursive estimation and order determination of space-time autoregressive processes | 4 |

Computing the Action of the Matrix Exponential, with an Application to Exponential Integrators | 4 |

The Mathematics of Motion Camouflage | 4 |

A Note on Weak and Strong Linearizations of Regular Matrix Polynomials | 4 |

Iterative Solution of a Nonsymmetric Algebraic Riccati Equation | 4 |

Model reduction of time-varying systems. | 4 |

The nonsmooth pitchfork bifurcation | 4 |

Shape corrections for 3D EIT | 4 |

Newton's Method in Floating Point Arithmetic and Iterative Refinement of Generalized Eigenvalue Problems | 4 |

Parallel Block Hessenberg Reduction using Algorithms-By-Tiles for Multicore Architectures Revisited | 4 |

Definable additive categories: purity and model theory | 4 |

Calculating the $\mathcal{H}_{\infty}$-Norm of Large Sparse Systems via Chandrasekhar Iterations and Extrapolations | 4 |

Mechanisms of intermittent state transitions in a coupled heterogeneous oscillator model of epilepsy | 4 |

Normalizers of 2-subgroups in black-box groups | 4 |

Involutions in groups of finite Morley rank degenerate type | 4 |

A logical characterization of coherence for imprecise probabilities | 4 |

Evaluating Deformation Corrections in Electrical Impedance Tomography | 4 |

Netlib and NA-Net: building a scientific computing community | 4 |

OCEAN CURRENT PREDICTION IN TOWED CABLE HYDRODYNAMICS UNDER DYNAMIC STEERING | 4 |

An Algorithm for the Complete Solution of Quadratic Eigenvalue Problems | 4 |

Injective objects in triangulated categories | 4 |

The relation between local and global dual pairs | 4 |

Conjugacy problem in HNN-extensions: regular elements and black holes | 4 |

Products of random Max-plus matrices | 4 |

Triangularizing matrix polynomials | 4 |

Gordon's inequality and condition numbers in conic optimization | 4 |

Topics in Dynamical Systems | 4 |

Structure sheaves of definable additive categories | 4 |

Noncommutative geometry: illustrations from the representation theory of GL(n) | 4 |

Migration and proliferation dichotomy in tumor cell invasion | 4 |

Point vortices on the hyperboloid | 4 |

Cocycle twists and extensions of braided doubles | 4 |

Stability of the partitioned inverse method for parallel solution of sparse triangular systems | 4 |

Some illustrations of information geometry in biology and physics | 3 |

On sheafification of modules | 3 |

Rule Systems for Run-time Monitoring: from EAGLE to RULER | 3 |

Exit problems associated with affine reflection groups | 3 |

Model Reduction of Second-Order Systems. | 3 |

On the Spectral Density Estimation of Periodically Correlated (Cyclostationary) Time Series | 3 |

Granular flow in partially filled slowly rotating drums | 3 |

On the Krohn-Rhodes complexity of semigroups of upper triangular matrices | 3 |

Vector Spaces of Linearizations for Matrix Polynomials | 3 |

A Framework for Analyzing Nonlinear Eigenproblems and Parametrized Linear Systems | 3 |

The Maximal Subgroups of E_7(2) | 3 |

Embedding Theorems for Non-uniformly Sampled Dynamical Systems | 3 |

Centralisers in the unit group of the Steenrod algebra | 3 |

Employing pre-stress to generate finite cloaks for antiplane elastic waves | 3 |

The dimension of weakly mean porous measures: a probabilistic approach | 3 |

A Chart of Backward Errors for Singly and Doubly Structured Eigenvalue Problems | 3 |

Reconstruction algorithm for the polarization tomography problem with incomplete data. | 3 |

Implementing QR Factorization Updating Algorithms on GPUs | 3 |

A continuum of inductive methods arising from a generalized principle of instantial relevance | 3 |

Didactic Transformation | 3 |

Magnetohydrodynamic damping of convective flows in molten gallium | 3 |

Reducing the Influence of Tiny Normwise Relative Errors on Performance Profiles | 3 |

Nonparametric Regression of Covariance Structures in Longitudinal Studies | 3 |

Model-Updating for Symmetric Quadratic Eigenvalue Problems | 3 |

The effect of noise on pitchfork and Hopf bifurcations | 3 |

Sensitivity matrix and reconstruction algorithm for EIT assuming axial uniformity | 3 |

On group actions on free Lie algebras | 3 |

Posets of matrices, and permutations with forbidden subsequences | 3 |

A Schur-Newton Method for the Matrix p'th Root and its Inverse | 3 |

A note on the least informative model of a theory | 3 |

The local Langlands correspondence for inner forms of SL_n | 3 |

Homoclinic Snaking near a Heteroclinic Cycle in Reversible Systems | 3 |

Semiparametric Mean-Covariance Regression Analysis for Longitudinal Data | 3 |

Mutual information and capacity of a linear digital channel | 3 |

Solving the Generalized Symmetric Eigenvalue Problem | 3 |

Invariant Manifolds and Sets | 3 |

How Elegant Code Evolves with Hardware: The Case of Gaussian Elimination | 3 |

Large growth factors in Gaussian elimination with pivoting | 3 |

Nonlinear pre-stress for cloaking from antiplane elastic waves | 3 |

Singular value decomposition of multi-companion matrices | 3 |

On nonlinear viscoelastic deformations - a reappraisal of Fung's quasilinear viscoelastic model | 3 |

Homotopy Decompositions and K-theory of Bott Towers | 3 |

Geometric structure and the local Langlands conjecture | 3 |

A More Accurate Briggs Method for the Logarithm | 3 |

Multiobjective Meta-Heuristic Product Scheduling for Multi-Machine Manufacturing Systems | 3 |

Yeast 5 - an Expanded Reconstruction of the Saccharomyces Cerevisiae Metabolic Network | 3 |

Backward stability of iterations for computing the polar decomposition | 3 |

Base change and K-theory for GL(n,R) | 3 |

The Canonical Generalized Polar Decomposition | 3 |

Real option analysis in resilient energy networks | 3 |

Classifying thick subcategories of perfect complexes | 3 |

Information geometry and entropy in a stochastic epidemic rate process | 3 |

H(div) Preconditioning for a Mixed Finite Element Formulation of the Stochastic Diffusion Problem | 3 |

Sklyanin algebras and Hilbert schemes of points | 3 |

Adaptive time-stepping for incompressible flow Part II: Navier-Stokes Equations | 3 |

Predicting the pressure-volume curve of an elastic microsphere composite | 3 |

A generalized second order frame bundle for Fréchet manifolds | 3 |

A new approach for MOR of second order Dynamical Systems | 3 |

Group theoretic conditions for existence of robust relative homoclinic trajectories | 3 |

Forward and Inverse Problems in Towed Cable Hydrodynamics | 3 |

High-frequency self-excited oscillations in a collapsible-channel flow | 3 |

Bar-like S-cone stimuli reveal the importance of an intermediate temporal filter | 3 |

Fiedler companion linearizations for rectangular matrix polynomials | 3 |

Blocks with trivial intersection defect groups | 3 |

First/second order transformation system. Tentative proof | 3 |

Finite presentation and purity in categories σ[M] | 3 |

An Introduction to the Quality of Computed Solutions | 3 |

A logical characterization of coherence for imprecise probabilities | 3 |

A Lemon is not a Monstar: visualization of singularities of symmetric second rank tensor fields in the plane. | 3 |

Nilpotent blocks of quasisimple groups for the prime two | 3 |

A framework for the development of implicit solvers for incompressible flow problems | 3 |

A New Scaling and Squaring Algorithm for the Matrix Exponential | 3 |

Persistence and stability of relative equilibria | 3 |

Witten-Hodge theory for manifolds with boundary and equivariant cohomology | 3 |

Dynamic Optimal Scheduling Method and Its Application for Converter Fault in Steelmaking and Continuous Casting Production Process | 3 |

The Homotopy Exponent Problem For Certain Classes Of Polyhedral Products | 3 |

An Improved Arc Algorithm for Detecting Definite Hermitian Pairs | 3 |

Relative Equilibria of Molecules | 3 |

Involutions in Janko's Simple Group J4 | 3 |

Modelling human balance using switched systems with linear feedback control | 3 |

Nonlinear thoughts about linear signal processing | 3 |

Reconstruction algorithm for the linearized polarization tomography problem with incomplete data. | 3 |

When maximising entropy gives the rational closure | 3 |

Reconstructing projective schemes from Serre subcategories | 3 |

The Two Ball Newton's Cradle | 3 |

Computed eigenmodes of planar regions | 3 |

Numerical Modelling of Eulerian Two-Phase Gas-Solid Flow | 3 |

Black box, white arrow | 3 |

LAPACK-Style Codes for Pivoted Cholesky and QR Updating | 3 |

A Continuum of Inductive Methods arising from a Generalized Principle of Instantial Relevance | 3 |

SELF-INTERSECTIONS OF IMMERSIONS AND STEENROD OPERATIONS | 3 |

Boundary Shape and Electrical Impedance Tomography | 3 |

The n-valued groups: results and prospectives | 3 |

Covers in finitely accessible categories | 3 |

Structured Condition Numbers and Backward Errors in Scalar Product Spaces | 3 |

Symmetric Linearizations for Matrix Polynomials | 3 |

The Weak Euler Scheme for Stochastic Differential Delay Equations | 3 |

Nilpotent commuting varieties of reductive Lie algebras | 3 |

Jordan Structures of Alternating Matrix Polynomials | 3 |

A high resolution scheme for Eulerian gas-solid two-phase isentropic flow | 3 |

Viscous-inviscid interaction in transonic Prandtl-Meyer flow | 3 |

Pricing financial claims contingent upon an underlying asset monitored at discrete times | 3 |

Coupled thermoelasticity in a composite half-space | 3 |

Definable additive categories: purity and model theory | 3 |

Optimal Preconditioning for Mixed Finite Element Formulation of Second-Order Elliptic Problems | 3 |

A note on the algebraic structure of conditionals | 3 |

Tangential structures on toric manifolds, and connected sums of polytopes | 3 |

Solving the indefinite least squares problem by hyperbolic QR factorization | 3 |

Commuting Involution Graphs for 3-Dimensional Unitary Groups | 3 |

Nonaxisymmetric magnetic field generation in rapidly rotating late-type stars | 3 |

Structured pseudospectra for polynomial eigenvalue problems, with applications | 3 |

Bifurcations of relative equilibria near zero momentum in Hamiltonian systems with spherical symmetry | 3 |

An Assessment of sustainable housing affordability using a multiple criteria decision making method | 3 |

Ideals in mod-R and the ω-radical | 3 |

Twists of rational Cherednik algebras | 3 |

A weak embedding property of probability measures on Lie groups | 3 |

Scaling properties of coating flows in rectangular channels | 3 |

Analysis of a nonlinear dynamics model of the saccadic system | 3 |

The representation theory of p-adic GL(n) and Deligne-Langlands parameters | 3 |

Definite Matrix Polynomials and their Linearization by Definite Pencils | 3 |

Nilpotent orbits in good characteristic and the Kempf-Rousseau theory | 3 |

Minimal indices and minimal bases via filtrations | 3 |

Investigating the Performance of Asynchronous Jacobi's Method for Solving Systems of Linear Equations | 3 |

Stable topological transitivity properties of Rn-extensions of hyperbolic transformations | 2 |

Classifying Serre subcategories of finitely presented modules | 2 |

Hénon map | 2 |

Generalized Dirichlet to Neumann operator on invariant differential forms and equivariant cohomology | 2 |

Bounded super real closed rings | 2 |

Integer-valued definable functions | 2 |

Structured Eigenvalue Condition Numbers | 2 |

Lie powers and Witt vectors | 2 |

Duality of matrix pencils and linearizations | 2 |

On Davis-Januszkiewicz homotopy types I; formality and rationalisation | 2 |

Analysis of a laminar premixed spray flame with modified Zeldovitch-Linan kinetics | 2 |

Linearizations of Matrix Polynomials in Bernstein Basis | 2 |

Gerschgorin's theorem for generalized eigenvalue problems in the Euclidean metric | 2 |

Mixed Precision Iterative Refinement Techniques for the Solution of Dense Linear Systems | 2 |

Steady boundary-layer solutions for a swirling stratified fluid in a rotating cone | 2 |

A stochastic model for competing growth on Rd | 2 |

Snaking of multiple homoclinic orbits in reversible systems | 2 |

Geometric structure in the representation theory of p-adic groups II | 2 |

Towards Computability over Effectively Enumerable Topological Spaces | 2 |

Review: Practical Design and Analysis of 2-Colour cDNA Microarray Experiments | 2 |

Structured Factorizations in Scalar Product Spaces | 2 |

Optimal scaling of generalized and polynomial eigenvalue problems | 2 |

Midplane-symmetry breaking in the flow between two counter-rotating disks | 2 |

Transverse flows in rapidly oscillating elastic cylindrical shells | 2 |

A spatially adaptive iterative method for a class of nonlinear operator eigenproblems | 2 |

Torsion classes of finite type and spectra | 2 |

Backward stability of iterations for computing the polar decomposition | 2 |

Steady finite-Reynolds-number flows in three-dimensional collapsible tubes | 2 |

New relations in the algebra of the Baxter Q-operators | 2 |

A systematic survey of the response of a model NF-κB signalling pathway to TNFα stimulation | 2 |

A signalizer functor theorem for groups of finite Morley rank | 2 |

On the onset of oscillatory convection in molten gallium | 2 |

Effective wave propagation in a prestressed nonlinear elastic composite bar | 2 |

A novel Ocular Anaesthetic Scoring System, OASS, tool to measure both motor and sensory function following local anaesthesia | 2 |

The Zariski spectrum of the category of finitely presented modules | 2 |

Optimal Preconditioning for Raviart-Thomas Mixed Formulation of Second-Order Elliptic Problems | 2 |

Symplectic, BVD, and Palindromic Approaches to Discrete-Time Control Problems | 2 |

Efficient Algorithms for the Matrix Cosine and Sine | 2 |

The problem of differentiation of an Abelian function over its parameters | 2 |

Improving metabolic flux predictions using absolute gene expression data | 2 |

Performance predictions of multilevel communication optimal LU and QR factorizations on hierarchical platforms | 2 |

A Schur--Pad\'e Algorithm for Fractional Powers of a Matrix | 2 |

Covariance Structure Regularization via Entropy Loss Function | 2 |

Automorphisms of finite $p$-groups admitting a partition | 2 |

Smoothing non-smooth systems with the moving average transformation | 2 |

Flux balance analysis: A geometric perspective | 2 |

The density of algebraic points on certain Pfaffian surfaces | 2 |

Extended quotients in the principal series of reductive p-adic groups | 2 |

An Optimal Iterative Solver for Symmetric Indefinite Systems stemming from Mixed Approximation | 2 |

Morse Theory for Invariant Functions and its Application to the n-Body Problem | 2 |

Nonlocal flow effects in bushfire spread rates | 2 |

Three-dimensional free convection in molten gallium | 2 |

On the boundary layer arising in the spin-up of a stratified fluid in a container with sloping walls | 2 |

$X_M$-Harmonic Cohomology and Equivariant Cohomology on Riemannian Manifolds With Boundary | 2 |

Perfect isometries and the Alperin-McKay conjecture | 2 |

Computations of Eigenvalue Avoidance in Planar Domains | 2 |

Shape Deformation in Two-Dimensional Electrical Impedance Tomography | 2 |

Delay embedding in the presence of dynamical noise | 2 |

When gap solitons become embedded solitons: a generic unfolding | 2 |

Commentary on Selected Papers by Gene Golub on Matrix Factorizations and Applications | 2 |

GPU-based solution of Continuous Time Markov Chains using CUSP | 2 |

Level of repair analysis and minimum cost homomorphisms of graphs | 2 |

On Reflecting Brownian Motion with Drift | 2 |

Probabilistic Merging Operators | 2 |

On the rational subset problem for groups | 2 |

Micro-chaos in Relay Feedback Systems with Bang-Bang Control and Digital Sampling | 2 |

Model theory of comodules | 2 |

Strongly damped quadratic matrix polynomials | 2 |

Neighbourhoods of independence and associated geometry | 2 |

The Sensitivity of Computational Control Problems | 2 |

Finite-dimensional behaviour and observability in a randomly forced PDE | 2 |

Analysis of the inverse problem for determining nematic liquid crystal director profiles from optical measurements using singular value decomposition. | 2 |

NLEVP: A Collection of Nonlinear Eigenvalue Problems. Users' Guide | 2 |

Backward Stochastic Partial Differential Equations with Jumps and Application to Optimal Control of Random Jump Fields | 2 |

Stochastic Modeling of Gene Regulatory Networks | 2 |

Providing Dependability and Performance in the Cloud: Case Studies | 2 |

Continua of states in boundary-layer flows | 2 |

Free centre-by-nilpotent-by-abelian Lie rings of rank 2 | 2 |

L-packets and formal degrees for SL_2(K) with K a local function field of characteristic 2 | 2 |

On Pi-Product Involution Graphs in Symmetric Groups | 2 |

Variable Selection for Joint Mean and Covariance Models via Penalized Likelihood | 2 |

LAPACK-Style Codes for Pivoted Cholesky and QR Updating | 2 |

NLEVP: A Collection of Nonlinear Eigenvalue Problems | 2 |

Purity relative to classes of finitely presented modules | 2 |

Linearizations of Singular Matrix Polynomials and the Recovery of Minimal Indices | 2 |

Visible parts of fractal percolation | 2 |

Least squares preconditioners for stabilized discretizations of the Navier-Stokes equations | 2 |

Electrical Impedance Tomography for high speed chest imaging | 2 |

A Newton Algorithm for the Nearest Correlation Matrix | 2 |

Quantum mushroom billiards | 2 |

Symplectic integrators and optimal control | 2 |

Symmetric Linearizations for Matrix Polynomials | 2 |

Continua of states in boundary-layer flows | 2 |

Llama: an online microarray linear analysis tool | 2 |

Algorithms for Cholesky and QR Factorizations, and the Semidefinite Generalized Eigenvalue Problem | 2 |

Multiplicative structure of 2x2 tropical matrices | 2 |

Learning to divide and conquer: applying the $L^*$ algorithm to automate assume-guarantee reasoning. | 2 |

Detecting and Solving Hyperbolic Quadratic Eigenvalue Problems | 2 |

Uniform decision problems for automatic semigrouos | 2 |

Maximum Entropy Inference with Quantified Knowledge | 2 |

Grazing-sliding bifurcations, the border collision normal form, and the curse of dimensionality for nonsmooth bifurcation theory | 2 |

Tube geometry can force switchlike transitions in the behavior of propagating bubbles | 2 |

Bounding the error in Gaussian elimination for tridiagonal systems | 2 |

Stability of parallel triangular system solvers | 2 |

K-theory and the connection index | 2 |

The Singular Value Decomposition in Multivariate Statistics | 2 |

An Algorithm For Finding the Optimal Embedding of a Symmetric Matrix into the Set of Diagonal Matrices | 2 |

Electromagnetic inverse problems for nematic liquid crystals and capacitance imaging | 2 |

Milnor attractors and topological attractors of a piecewise linear map | 2 |

On commuting graphs for elements of order 3 in symmetric groups | 2 |

From Runtime Verification to Evolvable Systems | 2 |

Circle actions on toric manifolds and their applications | 2 |

Dynamics of laminar triple-flamelet structures in non-premixed turbulent combustion | 2 |

An optimized and scalable eigensolver for sequences of eigenvalue problems | 2 |

Approximating the logarithm of a matrix to specified accuracy | 2 |

Adaptive time-stepping for incompressible flow Part II: Navier-Stokes Equations | 2 |

Benchmark examples for model reduction of linear time invariant dynamical systems. | 2 |

Combinatorics of simple polytopes and differential equations | 2 |

Flandersâ theorem for many matrices under commutativity assumptions | 2 |

The generating hypothesis in the derived category of a ring | 2 |

On the decidability of the real field with a generic power function | 2 |

Non-axiomatizability of real spectra in L_{∞λ} | 2 |

ON THE DIMENSION OF PRODUCTS OF HOMOGENEOUS SUBSPACES IN FREE LIE ALGEBRAS | 2 |

Finite and Infinite Elementary Divisors of Matrix Polynomials: A Global Approach | 2 |

Inexact Sparse Matrix-Vector Products in the Calculation of Passage Time Distributions in Large Semi-Markov Models | 2 |

A spatially adaptive iterative method for a class of nonlinear operator eigenproblems | 2 |

A Functional Limit Theorem for Random Walk Conditioned to Stay Non-negative | 2 |

Acceleration bundles on Banach and Fréchet manifolds | 2 |

Invariant measures of the border collision normal form | 2 |

Modelling infection spread using location tracking | 2 |

Bifurcation of a reversible Hamiltonian system from a fixed point with fourfold eigenvalue zero | 2 |

Phylogenetic Trees Predicted by an Irreversible Markov Process | 2 |

Functions of Matrices | 2 |

Second order structures for sprays and connections on Fréchet manifolds | 2 |

Characterisation of multiple substrate-specific (d)ITP/(d)XTPase and modelling of deaminated purine nucleotide metabolism | 2 |

Parallel Band Two-Sided Matrix Bidiagonalization for Multicore Architectures | 2 |

Stability of Structured Hamiltonian Eigensolvers | 2 |

The Weak Euler Scheme for Stochastic Differential Delay Equations | 2 |

Pure-injectivity and model theory for G-sets | 2 |

Triangularizing Quadratic Matrix Polynomials | 2 |

On Davis-Januszkiewicz Homotopy Types II; completion and globalisation | 2 |

On $p$th Roots of Stochastic Matrices | 2 |

Some results and problems on complex germs with definable Mittag-Leffler stars | 2 |

Computing a Nearest Correlation Matrix with Factor Structure | 2 |

Symplectic group actions and covering spaces | 2 |

On odd Laplace Operators II | 2 |

Implementing QR Factorization Updating Algorithms on GPUs | 2 |

Improving metabolic flux predictions using absolute gene expression data | 2 |

On LP-models of arithmetic | 2 |

Conjugate connections and differential equations on infinite dimensional manifolds | 2 |

An Algorithm for the Complete Solution of Quadratic Eigenvalue Problems | 2 |

Iterative Solution of a Nonsymmetric Algebraic Riccati Equation | 2 |

Modelling acidosis and the cell cycle in multicellular tumour spheroids | 2 |

The perturbation of electromagnetic fields at distances that are large compared to the objectâs size | 2 |

Ranking the Importance of Boards of Directors | 2 |

Algorithmic Based Fault Tolerance Applied to High Performance Computing | 2 |

Special transverse slices and their enveloping algebras | 2 |

Ubiquity and uniqueness: everyday mathematics from a model-theoretic perspective | 2 |

The Canonical Generalized Polar Decomposition | 2 |

Counterexamples to a rank analogue of the Shepherd--Leedham-Green--McKay theorem on finite $p$-groups of maximal class | 2 |

Witten-Hodge theory for manifolds with boundary | 2 |

Latent Roots and Latent Vectors | 2 |

A Grammatical Representation of Visibly Pushdown Languages | 2 |

Computing the Frechet Derivative of the Matrix Logarithm and Estimating the Condition Number | 2 |

The Ariel Project: A prospective cohort study of maternal-child transmission of human immunodeficiency virus type 1 in the era of maternal antiretroviral therapy | 2 |

A Schur--Pad\'e Algorithm for Fractional Powers of a Matrix | 2 |

Functions Preserving Matrix Groups and Iterations for the Matrix Square Root | 2 |

Linear methods in the study of automorphisms | 2 |

On $\Sigma$-definability without equality over the real numbers | 2 |

The Solution of S exp(S) = A is Not Always the Lambert W Function of A | 2 |

Definable additive categories: purity and model theory | 2 |

GPU-enabled steady-state solution of large Markov models | 2 |

A Class of Parallel Tiled Linear Algebra Algorithms for Multicore Architectures | 2 |

Mildness and the density of rational points on certain transcendental curves | 2 |

Functions of Matrices | 2 |

Rationality as conformity | 2 |

On the Bott periodicity, J-homomorphisms, and $H_*Q_0S^{-k}$ | 2 |

An overview of the milestones in development of the analytic number theory from antiquity to the present day (in Russian) | 2 |

Functions Preserving Matrix Groups and Iterations for the Matrix Square Root | 2 |

Relative equilibria of point vortices on the sphere | 2 |

Model-theoretic imaginaries and coherent sheaves | 2 |

A Note on Priest’s Finite Inconsistent Arithmetics | 2 |

Modular representations and finite W-algebras | 2 |

O-Minimal Structures | 2 |

Vortex dynamics on cylinders | 2 |

Geometric methods for anisotopic inverse boundary value problems. | 2 |

THE KO*-RINGS OF BTm, THE DAVIS-JANUSZKIEWICZ SPACES AND CERTAIN TORIC MANIFOLDS | 2 |

Nilpotent blocks of quasisimple groups for odd primes | 2 |

Cache Efficient Bidiagonalization Using BLAS 2.5 Operators | 1 |

Infinitely divisible cylindrical measures on Banach spaces | 1 |

Computing combinatorial types of trajectories in Pfaffian Dynamics | 1 |

Commuting Involution Graphs of Certain Finite Simple Classical Groups | 1 |

Mechanistic modelling of cancer: some reflections from software engineering and philosophy of science | 1 |

The Bender method in groups of finite Morley rank | 1 |

Cylindrical Wiener processes | 1 |

Endomorphisms of the Steenrod algebra and of its odd subalgebra | 1 |

Theoretical analysis of acoustic instability of a hypersonic shock layer on a porous wall | 1 |

Hyperbolicity of the invariant set for the logistic map with $\mu > 4$ | 1 |

Scaling, Sensitivity and Stability in the Numerical Solution of Quadratic Eigenvalue Problems | 1 |

Frobenius groups of automorphisms and their fixed points | 1 |

Pseudo completions and completions in stages of o-minimal structures | 1 |

The spectrum of the Dirac operator for the universal cover of SL_2(R) | 1 |

Two efficient SVD/Krylov algorithms for model order reduction of large scale systems | 1 |

Curve Crossing for the Reflected Process | 1 |

The border collision normal form with stochastic switching surface | 1 |

Some local definability theory for holomorphic functions | 1 |

Openness of momentum maps and persistence of extremal relative equilibria | 1 |

Finite and Infinite Elementary Divisors of Matrix Polynomials: A Global Approach | 1 |

Collective Choice as Information Theory: Towards a Theory of Gravitas | 1 |

A class of noncommutative projective surfaces | 1 |

Triangulated categories and the Ziegler spectrum | 1 |

A 195,747,435 vertex graph related to the Fischer group Fi23, part I | 1 |

The Matrix Unwinding Function, with an Application to Computing the Matrix Exponential | 1 |

Interactions among oscillatory pathways in NF-κB signalling | 1 |

Families of piecewise linear maps with constant Lyapunov exponent | 1 |

Point-Line Collinearity Graphs of two Sporadic Minimal Parabolic Geometries | 1 |

Improving the forward solver for the complete electrode model in EIT using algebraic multigrid | 1 |

A Framework for Analyzing Nonlinear Eigenproblems and Parametrized Linear Systems | 1 |

Structured Polynomial Eigenvalue Problems: Good Vibrations from Good Linearizations | 1 |

Geometric structure in the tempered dual of the p-adic group SL(4) | 1 |

The unsteady Kàrmàn problem for a dilute particle suspension | 1 |

Topics in Matrix Computations: Stability and Efficiency of Algorithms | 1 |

The Zariski spectrum of the category of finitely presented modules | 1 |

A presentation of the Steenrod algebra using Kristensen's operator | 1 |

Higher Order Frechet Derivatives of Matrix Functions and the Level-2 Condition Number | 1 |

Dynamics of poles with position-dependent strengths and its optical analogues | 1 |

Intrinsic correlation in planar Poisson line processes | 1 |

The tan theta theorem with relaxed conditions | 1 |

Some recent work in Frechet geometry | 1 |

Modelling of congenital nystagmus waveforms produced by saccadic system abnormalities | 1 |

On the Definition of Two Natural Classes of Scalar Product | 1 |

Stability and Convergence of the Method of Fundamental Solutions for Helmholtz problems on analytic domains | 1 |

Dynamics of planar piecewise-smooth slow-fast systems | 1 |

Geometric structure in the tempered dual of SL(N) | 1 |

Notes on Hyperbolic Matrix Polynomials and Definite Linearizations | 1 |

A NON-CLASSICAL APPROACH TO MAXIMUM ENTROPY IN UNCERTAIN REASONING | 1 |

Toric Topology of Stasheff Polytopes | 1 |

Human Dimension of Mathematics | 1 |

Vertices for irreducible characters of a class of blocks | 1 |

Global attractors of pinched skew products | 1 |

Kinetic modelling of metabolic pathways | 1 |

Triangularizing Quadratic Matrix Polynomials | 1 |

The Conditioning of Linearizations of Matrix Polynomials | 1 |

Generating the Pfaffian closure with total Pfaffian functions | 1 |

Matrix powers in finite precision arithmetic | 1 |

Hankel Determinant Structure of the Rational Solutions for Fifth PainlevÃ© Equation | 1 |

Investigating the Performance of Asynchronous Jacobi's Method for Solving Systems of Linear Equations | 1 |

The Russian option: Finite horizon | 1 |

Large deviation methods for stochastic reachability | 1 |

Elementary properties of minimal and maximal points in Zariski spectra | 1 |

Optimal scaling for partially updating MCMC algorithms | 1 |

Boundary layers in a dilute particle suspension | 1 |

Numerical methods for palindromic eigenvalue problems: Computing the anti-triangular Schur form | 1 |

Evolutionary Inference for Functional Data: Using Gaussian Processes on Phylogenies to Study Shape Evolution | 1 |

On the local Langlands correspondence for non-tempered representations | 1 |

Spin-up of a two-layer rotating stratified fluid in a variable depth container | 1 |

Set-theoretical solutions to the Yang-Baxter Relation from factorization of matrix polynomials and theta functions | 1 |

Time-dependent solutions for particle size segregation in shallow granular avalanches | 1 |

Linearizations of Singular Matrix Polynomials and the Recovery of Minimal Indices | 1 |

Some measures for asymmetry of distributions | 1 |

The effect of surface tension on trapped modes in water-wave problems | 1 |

D-optimal minimum support mixture designs in blocks | 1 |

Structured Mapping Problems for Matrices Associated with Scalar Products Part I: Lie and Jordan Algebras | 1 |

FREE CENTRE-BY-(ABELIAN-BY-EXPONENT 2) GROUPS | 1 |

Structured Polynomial Eigenproblems Related to Time-Delay Systems | 1 |

Σ_K–constraints for Hybrid Systems | 1 |

Definite Matrix Polynomials and their Linearization by Definite Pencils | 1 |

Vector spaces of linearizations for matrix polynomials: a bivariate polynomial approach | 1 |

A note on the geometry of linear Hamiltonian systems of signature 0 in R4 | 1 |

Design of experiments in the presence of errors in factor levels | 1 |

A class of blocks behaving like blocks of p-solvable groups | 1 |

Witten-Hodge theory for manifolds with boundary and equivariant cohomology | 1 |

Almost Sure Relative Stability of the Overshoot of Power Law Boundaries | 1 |

Symplectic group actions and covering spaces | 1 |

K-theory and limit-of-discrete-series for the universal cover of SL_2(R) | 1 |

Reconstruction algorithm for the polarization tomography problem with incomplete data. | 1 |

Limit Behavior of the "Horizontal-Vertical" Random Walk and Some Extensions of the Donsker-Prokhorov Invariance Principle | 1 |

Multi-Objective Hybrid Intelligent Optimization of Operational Indices for Industrial Processes and Application | 1 |

Bundles of acceleration on Banach manifolds | 1 |

One lump or two? | 1 |

Solutions of affine stochastic functional differential equations in the state space | 1 |

Green Correspondence for virtually pro-p groups | 1 |

Conjugate connections and differential equations on infinite dimensional manifolds | 1 |

Problems of bounding the $p$-length and Fitting height of finite soluble groups | 1 |

Complex cobordism classes of homogeneous spaces | 1 |

Words and pronilpotent subgroups in profinite groups | 1 |

Optimal Scaling for Random walk Metropolis on spherically constrained target densities | 1 |

The Expected Lifetime of an Extraction Project | 1 |

Something from nothing: bridging the gap between constraint-based and kinetic modelling | 1 |

Delay reconstruction for multiprobe signals | 1 |

Recovering Riemannian metrics in monotone families from boundary data | 1 |

Improved Inverse Scaling and Squaring Algorithms for the Matrix Logarithm | 1 |

Möbius Transformations of Matrix Polynomials | 1 |

Minimum Entropy Approach For Robot Manipulator | 1 |

Remarks on $\Sigma$-definability without the equality test over the Reals | 1 |

The finite Language for Computable Metric Spaces | 1 |

Asymptotic matching constraints for a boundary-layer flow of a power-law fluid | 1 |

Reachability in One-Dimensional Controlled Polynomial Dynamical Systems | 1 |

Vector Spaces of Linearizations for Matrix Polynomials | 1 |

Cayley, Sylvester, and Early Matrix Theory | 1 |

Universal connection and curvature for statistical manifold geometry | 1 |

Numerical Solution of the Equations Governing 2D Eulerian Gas-Solid Two-Phase Flow | 1 |

The homotopy type of the complement coordinate subspace arrangement | 1 |

Spatial interaction among nontoxic phytoplankton, toxic phytoplankton, and zooplankton:Emergence in space and time | 1 |

Numerical Relativity and Asymptotic Flatness | 1 |

A new approach for MOR of second order Dynamical Systems | 1 |

A Schanuel Property for Exponetially Transcendental Powers | 1 |

Palindromic Companion Forms for Matrix Polynomials of Odd Degree | 1 |

Generation of anisotropic-smoothness regularization filters for EIT | 1 |

Permutation groups of finite Morley rank: an Oberwolfach talk | 1 |

Some model theory of sheaves of modules | 1 |

Breaking size-segregation waves and particle recirculation in granular avalanches | 1 |

Accretion disc dynamos opened up by external magnetic fields | 1 |

Pairs of compatible associative algebras, classical Yang-Baxter and quiver representations | 1 |

Prediction of regulatory networks: identification of transcription factor-target relationship from gene ontology information and gene expression data | 1 |

Emergence of hierarchical networks and polysynchronous behaviour in simple adaptive systems | 1 |

Towards Co-Engineering Communicating Autonomous Cyber-physical Systems | 1 |

The Hinfinity-norm calculation for large sparse systems. | 1 |

Reduced C*-algebra of the p-adic group GL(n) II | 1 |

The problem of Anisotropy in Electrical Impedance Tomography | 1 |

Uniformity principle for $\Sigma$-definability | 1 |

Tomographic reconstruction of stress from photoelastic measurements using elastic regularization. | 1 |

The Hooley-Huxley contour method for problems in number fields II: factorization and divisibility | 1 |

A spatially adaptive iterative method for a class of nonlinear operator eigenproblems | 1 |

Model A-EE : An Eulerian Two-Phase Gas-Solid Model | 1 |

Pure-injective modules | 1 |

Kazhdan-Lusztig parameters and extended quotients | 1 |

Quantum mushroom billiards | 1 |

Artin-Schreier Theory and L-packets in the principal series of SL_2(F_2((x))) | 1 |

State constrained reachability for stochastic hybrid systems | 1 |

One-sided indecomposable pure-injective modules over string algebras | 1 |

Model theory for algebra | 1 |

On transonic viscous-inviscid interaction | 1 |

Isomorphism classes for Banach vector bundle structures of second tangents | 1 |

The Social Entropy Process: Axiomatising the Aggregation of Probabilistic Beliefs | 1 |

Codes for spread spectrum applications generated using chaotic dynamical systems | 1 |

Serial Rings | 1 |

Structured Polynomial Eigenvalue Problems: Good Vibrations from Good Linearizations | 1 |

Multiple attractors in grazing-sliding bifurcations in an explicit example of a Filippov type flow | 1 |

The Hurewicz image of the $\eta_i$ family | 1 |

An Improved Schur--PadÃ© Algorithm for Fractional Powers of a Matrix and their FrÃ©chet Derivatives | 1 |

Model-theoretic imaginaries and coherent sheaves | 1 |

The structure of blocks with a Klein four defect group | 1 |

Detecting and Solving Hyperbolic Quadratic Eigenvalue Problems | 1 |

Stability of learning dynamics in two-agent, imperfect-information games | 1 |

Permutation groups of finite Morley rank | 1 |

Imperfect homoclinic bifurcations | 1 |

The accumulation of boundary doubling for modified tent maps | 1 |

Some recent work in Frechet geometry | 1 |

The lattice of column 2-regular partitions in the Steenrod algebra | 1 |

Infinite dimensional second order differential equations via $T^2M$ | 1 |

Structured Linearizations for Palindromic Matrix Polynomials of Odd Degree | 1 |

On the dimension of iterated sumsets | 1 |

On solubility of groups with bounded centralizer chains | 1 |

Flanders' theorem for many matrices under commutativity assumptions | 1 |

Rank analysis of the anisotropic inverse conductivity problem | 1 |

Fitting height of a finite group with a Frobenius group of automorphisms | 1 |

Covariance Structure Regularization via Entropy Loss Function | 1 |

A note on quantum chaology and gamma approximations to eigenvalue spacings for infinite random matrices | 1 |

Language Invariance and Spectrum Exchangeability in Inductive Logic | 1 |

Modelling evolvable component systems | 1 |

Smoothing non-smooth systems with low-pass filters | 1 |

Iterated Function System Models of Digital Channels | 1 |

Coverage processes on spheres and condition numbers for linear programming | 1 |

Asymptotic matching constraints for a boundary-layer flow of a power-law fluid | 1 |

Calculating the $\mathcal{H}_{\infty}$-Norm of Large Sparse Systems via Chandrasekhar Iterations and Extrapolations | 1 |

Triangularizing Quadratic Matrix Polynomials | 1 |

Cryptographic Applications of Non-Commutative Algebraic Structures and Investigations of Nonlinear Recursions | 1 |

On Levy Processes Conditioned to Stay Positive | 1 |

An Improved Arc Algorithm for Detecting Definite Hermitian Pairs | 1 |

Continuous-Time Revenue Managment in Carparks - Part two: Refining the PDE | 1 |

Structure sheaves of definable additive categories | 1 |

Rational Cherednik algebras and Hilbert schemes | 1 |

Directional effect of a magnetic field on oscillatory low-Prandtl-number convection | 1 |

Adams operations on the Green ring of a cyclic group of prime-power order | 1 |

Minimal indices and minimal bases via filtrations | 1 |

Rationality as conformity | 1 |

The problem of differentiation of an Abelian function over its parameters | 1 |

On spherical classes in $H_*QX$ | 1 |

Splitting for dissipative particle dynamics | 1 |

Iterative Solution of a Nonsymmetric Algebraic Riccati Equation | 1 |

From finite to infinite dimensional dynamical systems | 1 |

Perturbation of multiple eigenvalues of Hermitian matrices | 1 |

Gramian based model reduction of switched dynamical systems | 1 |

Symplectic group actions and covering spaces | 1 |

Interpretation, coordination and conformity | 1 |

Multivariate Non-Linear Regression with Applications: A Frequency Domain Approach | 1 |

Determining the absorption in anisotropic media | 1 |

Free centre-by-metabelian Lie rings | 1 |

On the minmal parabolic system related to the monster simple group | 1 |

Modelling Aspects of Tumour Metabolism | 1 |

On the spatial development of a dusty wall jet | 1 |

Isomorphism classes for Banach vector bundle structures of second tangents | 1 |

Particle-size segregation and diffusive remixing in shallow granular avalanches | 1 |

A Survey of Numerical Aspects of Plane Rotations | 1 |

Unsteady turbulent plume models | 1 |

Isotropic Flow of Homeomorphisms on S^d with Respect to the Metric H^{(d+2)/2} | 1 |

R-groups and geometric structure in the representation theory of SL(N) | 1 |

A priori error analysis of stochastic Galerkin mixed approximations of elliptic PDEs with random data | 1 |

Flow in Collapsible Tubes and Past Other Highly Compliant Boundaries | 1 |

Small-time behaviour of Lévy processes | 1 |

Testing Nonstationary Time Series for Gaussianity and Linearity using the Evolutionary Bispectrum: An application to Internet Traffic Data | 1 |

The Complex Step Approximation to the Fréchet Derivative of a Matrix Function | 1 |

Theoretical study of an inviscid transonic flow near a discontinuity in wall curvature (Part 1) | 1 |

The hyperbolic Schur decomposition | 1 |

Analysis of the early stage of thermal runaway | 1 |

Does Reaction-diffusion Dynamics on a Fractal Space Imply Power Law Behaviour? | 1 |

Nonsoluble and non-$p$-soluble length of finite groups | 1 |

The cumulant process and Esscher's change of measure | 1 |

Covariance Structure Regularization via Entropy Loss Function | 1 |

Enveloping algebras of Slodowy slices and the Joseph ideal | 1 |

A simple yet effective a posteriori estimator for classical mixed approximation of Stokes equations | 1 |

Deformation of geometry and bifurcations of vortex rings | 1 |

Dealing with stochastic reachability | 1 |

PVDâs contributions to numerical methods in systems and control | 1 |

Outer Boundary Conditions in Numerical Relativity | 1 |

Mysteries around the graph Laplacian eigenvalue 4 | 1 |

The Matrix Unwinding Function, with an Application to Computing the Matrix Exponential | 1 |

The Matrix Unwinding Function, with an Application to Computing the Matrix Exponential | 1 |

A black-box rational Arnoldi variant for Cauchy-Stieltjes matrix functions | 1 |

Bordism groups of immersions and classes represented by self-intersections | 1 |

The steady propagation of a semi-infinite bubble into a tube of elliptical or rectangular cross-section | 1 |

Modular representation theory of blocks with trivial intersection defect groups | 1 |

Large Modelling Conditional Covariance in the Linear Mixed Model | 1 |

A probabilistic approach to identify putative drug targets in biochemical networks | 1 |

The Continuing Influence of Fiedler's Work on Companion Matrices | 1 |

On the Value of Optimal Stopping Games | 1 |

Variations on a theme of Timmesfeld: a finite group-theoretic analogue of the classification of groups of finite Morley rank and even type | 1 |

Passage-time Computation and Aggregation Strategies for Large Semi-Markov Processes | 1 |

Quantum mushroom billiards | 1 |

The hyperbolic Schur decomposition (extended) | 1 |

Product Scheduling for Thermal Energy Reduction in Papermakig Industries | 1 |

A simple yet effective a posteriori estimator for classical mixed approximation of Stokes equations | 1 |

A Hyperbolic Augmented Elasto-Plastic Model for Pressure-Dependent Yield | 1 |

Momentum maps and ... | 1 |

A Frequency domain approach for the estimation of parameters of spatio-temporal stationary random processes | 1 |

Lyapunov exponents for linear delay equations in arbitrary phase spaces | 1 |

A note on quantum chaology and gamma approximations to eigenvalue spacings for infinite random matrices | 1 |

On $p$-soluble groups with a generalized $p$-central or powerful Sylow $p$-subgroup | 1 |

Commuting Involution Graphs for 4-Dimensional Projective Symplectic Groups | 1 |

A note on vertices of simple modules | 1 |

Linking Landscape Fires and Local Meteorology—A Short Review | 1 |

Multicomponent integrable wave equations: I. Darboux-dressing transformation | 1 |

Higher Order Cumulants of Random Vectors and Applications to Statistical Inference and Time Series | 1 |

Heirs of box types in polynomially bounded structures | 1 |

Rings of definable scalars of Verma modules | 1 |

Tumour glycolysis: the many faces of HIF | 1 |