Titlebook: Differential Geometric Structures and Applications; 4th International Wo Vladimir Rovenski,Pawe? Walczak,Robert Wolak Conference proceeding

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,An Ay-Lê-Jost-Schwachh?fer Type Characterization of Quantitatively Weakly Sufficient Statistics,e example of coin tosses. We review the basic notions in information geometry, e.g., parametrized measure models, statistics and Fisher quadratic forms. Then we state characterizations of sufficient statistics due to Ay-Jost-Lê-Schwachh?fer and an analogous characterizations of sufficient statistics

駭人

Lower Bounds for High Derivatives of Smooth Functions With Given Zeros,y interior, then for each . the norm of the .-th derivative . is at least .. A natural question to ask is: . This question was partially answered in [.] and [.,.,.]. This study is naturally related to a certain special settings of the Whitney’s smooth extension problem. Our goal in this paper is thr

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,Interactions Between Differential Geometry and?Production Theory,two decades, both from the fields of mathematics and economics. The purpose of this work is to provide a comprehensive survey on the properties of the homogeneous and quasi-homogeneous production models, most of these properties being of geometric nature and obtained using a differential geometric t

Contort

,A Lagrangian Program Detecting the Weighted Fermat-Steiner-Fréchet Multitree for a Fréchet ,-multisin order to study its solution called the “FSFR multitree”, which consist of a union of Fermat-Steiner (FS) trees for all derived pairwise incongruent .-simplexes in the sense of Blumenthal, Herzog for . and Dekster-Wilker for .. We obtain a method to determine the FSFR multitree in . based on the t

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978-3-031-50588-1The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

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https://doi.org/10.1007/978-94-007-5367-9linear equations in covariant derivatives of the Cauchy type. It is established that the general solution depends on no more than . numerical parameters. The maximum is achieved in projectively Euclidean spaces. Estimates are found for these equations’ dependence on spaces that are not projectively Euclidean.