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Both a general and a diagonal u-invariant for forms of higher degree are defined, generalizing the u-invariant of quadratic forms. Both old and new results on these invariants are collected.

Number Theory · Mathematics 2007-05-23 S. Pumpluen

A New Trinomial Recombination Tree Algorithm and Its Applications

Computational Finance · Quantitative Finance 2012-10-04 Peter C. L. Lin

Quark-hadron duality and its potential applications are discussed. We focus on theoretical efforts to model duality.

High Energy Physics - Phenomenology · Physics 2017-08-23 Sabine Jeschonnek , J. W. Van Orden

This paper presents an extension of the concept of NR-clean introduced in [12] to graded ring theory. We define and explore graded NR-clean rings, which generalize the class of graded U-nil clean previously studied in [15]. We provide…

Commutative Algebra · Mathematics 2024-01-23 Ismail Namrok

After a review on the development of deformation theory of abelian complex structures from both the classical and generalized sense, we propose the concept of semi-abelian generalized complex structure. We present some observations on such…

Algebraic Geometry · Mathematics 2021-09-09 Yat Sun Poon

After sketching recent advances and subtleties in classical relativistically covariant field theories, we give in this short Note some indications as to how the deformation quantization approach can be used to solve or at least give a…

Quantum Algebra · Mathematics 2007-05-23 Giuseppe Dito

The purpose of this note is to extend the divergences analyzed in a previous work by application of the Deformed Logarithm in its most general form. In a study on entropic divergences, we have analyzed the different forms of the deformed…

General Mathematics · Mathematics 2023-04-05 Henri Lantéri

Studying degenerate versions of various special polynomials have become an active area of research and yielded many interesting arithmetic and combinatorial results. Here we introduce a degenerate version of polylogarithm function, called…

Number Theory · Mathematics 2020-02-12 Taekyun Kim , Dae San Kim

The possible usefulness of the renormalization group method in Nuclear Physics is pointed out in this talk in the context of the nuclear multifragmentation. The presentation is rather superficial and sketchy, to indicate the main lines…

Nuclear Theory · Physics 2007-05-23 J. Polonyi

The technique of polarized neutron scattering is reviewed with emphasis on applications. Many examples of the usefulness of the method in various fields of physics are given like the determination of spin density maps, measurement of…

Strongly Correlated Electrons · Physics 2007-05-23 B. Roessli , P. Böni

We give a general method for rounding linear programs that combines the commonly used iterated rounding and randomized rounding techniques. In particular, we show that whenever iterated rounding can be applied to a problem with some slack,…

Data Structures and Algorithms · Computer Science 2019-07-19 Nikhil Bansal

The Artificial Neural network is a functional imitation of simplified model of the biological neurons and their goal is to construct useful computers for real world problems. The ANN applications have increased dramatically in the last few…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Nitin Malik

It is pointed out that despite of the non-linearity of the underlying equations, there do exist rather general methods that allow to generate new minimal surfaces from known ones.

Differential Geometry · Mathematics 2018-11-26 Jens Hoppe , Vladimir G. Tkachev

Image deblurring is a classic problem in low-level computer vision with the aim to recover a sharp image from a blurred input image. Advances in deep learning have led to significant progress in solving this problem, and a large number of…

Computer Vision and Pattern Recognition · Computer Science 2022-05-31 Kaihao Zhang , Wenqi Ren , Wenhan Luo , Wei-Sheng Lai , Bjorn Stenger , Ming-Hsuan Yang , Hongdong Li

A new mechanism for the parity doublers in hadrons is suggested.

General Physics · Physics 2007-08-08 A. E. Inopin

Using Singular Rescaling We Prove Some Bifurcation Results. This note Presents short proofs for some Bifurcation results which had been appeared with other authors.

Dynamical Systems · Mathematics 2024-04-16 Ali Taghavi

Among the most impressive recent applications of neural decoding is the visual representation decoding, where the category of an object that a subject either sees or imagines is inferred by observing his/her brain activity. Even though…

Neural and Evolutionary Computing · Computer Science 2018-11-06 Angeliki Papadimitriou , Nikolaos Passalis , Anastasios Tefas

The generalized divided differences are introduced. They are applied to investigate some properties characterizing generalized higher-order convexity. Among others some support-type property is proved.

Functional Analysis · Mathematics 2008-07-28 Szymon Wasowicz

Deep neural networks are widely used in various domains. However, the nature of computations at each layer of the deep networks is far from being well understood. Increasing the interpretability of deep neural networks is thus important.…

Machine Learning · Computer Science 2018-12-19 Haiping Huang

Searches for new physics using muons are reviewed. Particular attention is paid to muon number non-conserving processes, like the decay muon-->e+gamma and muon-electron conversion in muonic atoms. Also, experimental determinations and…

High Energy Physics - Phenomenology · Physics 2009-10-30 Andrzej Czarnecki