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For a function $f$ from $\mathbb{F}_2^n$ to $\mathbb{F}_2^n$, the planarity of $f$ is usually measured by its differential uniformity and differential spectrum. In this paper, we propose the concept of vanishing flats, which supplies a…

Information Theory · Computer Science 2020-06-04 Shuxing Li , Wilfried Meidl , Alexandr Polujan , Alexander Pott , Constanza Riera , Pantelimon Stănică

Deformation theory of complex manifolds is a classical subject with recent new advances in the noncompact case using both algebraic and analytic methods. In this note, we recall some concepts of the existing theory and introduce new notions…

Algebraic Geometry · Mathematics 2021-01-12 Edoardo Ballico , Elizabeth Gasparim , Francisco Rubilar

In this work, the problem of designing observers for estimating a single nonlinear functional of the state is formulated for general nonlinear systems. Notions of functional observer linearization are also formulated, in terms achieving…

Systems and Control · Electrical Eng. & Systems 2021-09-15 Costas Kravaris , Sunjeev Venkateswaran

We derive the general structure of the hadronic tensor required to describe deep-inelastic scattering from an off-shell nucleon within a covariant formalism. Of the large number of possible off-shell structure functions we find that only…

Nuclear Theory · Physics 2009-09-25 W. Melnitchouk , A. W. Schreiber , A. W. Thomas

The development of supergravity unified models and their implications for current and future experiments are discussed.

High Energy Physics - Phenomenology · Physics 2016-11-03 R. Arnowitt , Pran Nath

An appeal for symmetry is made to build established notions of specific representation and specific nonlinearity of measurement (often called model error) into a canonical linear regression model. Additive components are derived from the…

Applications · Statistics 2021-10-19 Richard E. Danielson

In this work we investigate two distinct extensions of the deformation procedure introduced in former works on deformed defects. The first extension deals with the use of deformation functions which can assume complex values, and the second…

High Energy Physics - Theory · Physics 2009-11-11 D. Bazeia , L. Losano

In this paper we study the existence of solutions of thedegererate elliptic system.

Analysis of PDEs · Mathematics 2016-04-18 Lucio Boccardo , Gisella Croce , Chiara Tanteri

Fracture functions and their evolution equations are reviewed. Some phenomenological applications are briefly discussed.

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Grazzini

Flatness of discrete-time systems can be characterized by two simple properties. There exists a map, a submersion, from the flat coordinates and their forward shifts to the state and the input of the discrete-time system, such that the…

Differential Geometry · Mathematics 2023-03-10 Schlacher Kurt , Lindorfer Martin

Two mathematical models are developed within the theoretical framework of large strain elasticity for the determination of upper and lower bounds on the total strain energy of a finitely deformed hyperelastic body in unilateral contact with…

Analysis of PDEs · Mathematics 2019-04-04 L. Angela Mihai , Alain Goriely

In this paper we study the spectrum of weak uniform Diophantine exponents of lattices and obtain its complete description in the two-dimensional case.

Number Theory · Mathematics 2025-07-08 Oleg N. German

We give an explicit expression for the (finitely) flat remainder after analytic normal form reduction of a family of planar saddles of diffeomorphisms or vector fields. We distinguish between a rational or irrational ratio of the moduli of…

Dynamical Systems · Mathematics 2008-02-27 Patrick Bonckaert , Freek Verstringe

We give a conceptual explanation of universal deformation formulas for unital associative algebras and prove some results on the structure of their moduli spaces. We then generalize universal deformation formulas to other types of algebras…

Algebraic Topology · Mathematics 2013-08-19 Elisabeth Remm , Martin Markl

Some problems of testology are discussed.

Applications · Statistics 2007-11-12 Victor Kromer

An algebraic deformation theory of coalgebra morphisms is constructed.

Quantum Algebra · Mathematics 2007-05-23 Donald Yau

Finite mixture models have been a very important tool for exploring complex data structures in many scientific areas, for example, economics, epidemiology, finance. In the past decade, semiparametric techniques have been popularly…

Methodology · Statistics 2018-11-15 Sijia Xiang , Weixin Yao , Guangren Yang

In this paper, we discuss the feedback stabilization of bilinear systems under weak observation properties. In this case, the uniform stability is not guaranteed. Thus we provide an explicit weak decay rate for all regular initial data.…

Optimization and Control · Mathematics 2019-07-01 Kaïs Ammari , Mohamed Ouzahra

The aim of this paper, triggered by some discussions in the astrophysics community raised by astro-ph/0508529, is to introduce the issue of `fits' from a probabilistic perspective (also known as Bayesian), with special attention to the…

Data Analysis, Statistics and Probability · Physics 2007-05-23 G. D'Agostini

Extended calculations of the deuteron's static properties, based on the numerical solution of the Bethe-Salpeter equation, are presented. A formalism is developed, which provides a comparative analysis of the covariant amplitudes in various…

Nuclear Theory · Physics 2008-11-26 L. P. Kaptari , A. Yu. Umnikov , S. G. Bondarenko , K. Yu. Kazakov , F. C. Khanna , B. Kaempfer