... for the evolution of certain geometric quantities under deformations of the metric. Einstein tensor finite element method Regge calculus Israel junction condition differential geometry Austrian Science Fund 10.13039/501100002428 10.55776/F65 National Science Foundation 10.13039/100000001 DMS...

... of MFCA by inspecting the spectral properties of a generalized local parallel transport operator through the lens of Wigner -matrices. We demonstrate the efficacy of the proposed algorithm with numerical experiments. representation theory spectral theory differential geometry Wigner matrices cryo...

... not enjoying any special properties like being interpolatory or having non-negative mask. refinement algorithm approximation theory differential geometry Austrian Science Fund 10.13039/501100002428 W1230 Subdivision schemes are iterative refinement algorithms used to produce smooth curves and surfaces...

... regression, for any family of symmetric errors there is only one array and it is a constant multiple of that for the Gaussian family. non-linear models information metric alpha connections differential geometry REFERENCES 1 Amari , S. ( 1982a ) Geometrical theory of asymptotic ancillarity...

... of predictors is fixed. Differential-geometric least angle regression Differential geometry Generalized linear model Group lasso Score statistic Let be a scalar random variable with exponential family probability density function, i.e., , where is the canonical parameter, is the dispersion...

.... Communicated by: Prof. Alexander Veselov discrete integrable systems discrete differential geometry discrete elliptic coordinates Koenigs nets confocal quadrics Confocal quadrics in belong to the favourite objects of classical mathematics, due to their beautiful geometric properties and numerous...

.... Arabidopsis curvature differential geometry growth leaf shape lobes waviness * To whom correspondence should be addressed. E-mail: [email protected] Shaping via growth of soft tissues is one of the most fascinating processes in nature. It involves biological, chemical, and physical mechanisms...

... penalty theory Differential geometry Generalized degrees of freedom Generalized linear models Information geometry Least angle regression Path following algorithm Sparse models Variable selection This paper deals with the problem of how to study the sparse structure of a generalized linear model...

... differential equations in some simple cases. However, these simple cases turn out to be highly relevant to robotics and mechanism theory. rigid-body motions; motion interpolation; robotics; differential geometry Received on 21 September 2005. Accepted on 4 April 2006. ...

...; Differential geometry; Measurement error; Mixture model; Prediction; Random effects model; Statistical manifold June 2000. July 2001. ...

... distributions is also obtained. Some key words: Bayes; Differential geometry, Kullback-Leibler divergence; Mean curvature; Second-order asymptotic theory. 1. INTRODUCTION Suppose that we have independent observations xl^N'= {x(l x(N)} from a distri- bution p(x; co...

...M. Léger; J.-M. Morvan; H. Rakotoarisoa differential geometry inversion sedimentary basin structural geology tomography 3-D References Bishop T.N. Bube K.P. Cutler R.T. Langan R.T. Love P.L. Resnick J.R. Shuey R.T. Spindler D.A. Wyld H.W...

... handbooks. We show how our notation relates to that of tensor analysis/differential geometry. As the analysis is not restricted to Euclidean geometry, our notation may be extended to Riemannian surfaces, such as spherical surfaces, so long as an orthogonal coordinate system is utilized. We discuss...

... interval; Differential geometry; Double point; Estimation; Intrinsic curvature; Multivariate nonlinear calibration; Nonlinear regression. 1. INTRODUCTION In calibration problems one wishes to predict a quantity whose precise measurement £ is difficult or expensive...

... random variable. Furthermore, special versions of these results are given in concise form, and these are then applied to elucidate the efficiency of some examples. Some key words: Asymptotic theory; Bound for asymptotic variance; Differential geometry; Estimating function; Exponential and mixture...

...SHUN-ICHI AMARI © 1982 Biometrika Trust 1982 Abstract Differential geometry is applied to the problems of defining higher-order asymptotic ancillarity and of obtaining the asymptotic conditional distribution of an efficient estimator in multiparameter curved exponential families. It is shown...

...Relativity in Modern Physics. Nathalie Deruelle and Jean-Philippe Uzan © Oxford University Press 2018. Published in 2018 by Oxford University Press. DOI: 10.1093/oso/9780198786399.001.0001 This chapter presents some elements of differential geometry, the ‘vector’ version...

...This chapter deals with topological invariants and differential geometry. It first considers a topological space X for which singular homology and cohomology are defined, along with the Euler number e(X). The Euler number, also known as the Euler...

... present the tasks that are undertaken in each of the subsequent chapters. index theory Cauchy–Riemann geometry differential geometry Deser–Schwimmer conjecture Kähler geometry The aim of the present book is to provide a rigorous proof of a conjecture of Deser and Schwimmer, originally formulated...

... over the past twenty years. This book presents all the different aspects of the study of anomalies in an accessible and self-contained way. Much emphasis is now being placed on the formulation of the theory using the mathematical ideas of differential geometry and topology. This approach is followed...