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Linearized Reed-Solomon codes are defined. Higher weight distribution of those codes are determined.

Information Theory · Computer Science 2015-05-28 Haode Yan , Yan Liu , Chunlei Liu

The status of lattice calculations of some phenomenology of heavy quarks is presented. Emphasis is on progress made in calculating those quantities relevant to estimating parameters of the quark mixing matrix, namely leptonic decay…

High Energy Physics - Lattice · Physics 2008-11-26 Terrence Draper

We propose new positive definite kernels for permutations. First we introduce a weighted version of the Kendall kernel, which allows to weight unequally the contributions of different item pairs in the permutations depending on their ranks.…

Machine Learning · Statistics 2018-06-13 Yunlong Jiao , Jean-Philippe Vert

In this paper, we study the weighted difference substitutions from geometrical views. First, we give the geometric meanings of the weighted difference substitutions, and introduce the concept of convergence of the sequence of substitution…

Symbolic Computation · Computer Science 2009-12-30 Xiaorong Hou , Song Xu , Junwei Shao

Possible sources of uncertainties in the calculations of the internal conversion coefficients are studied. The uncertainties induced by them are estimated.

Nuclear Experiment · Physics 2008-11-26 M. Rysavy , O. Dragoun

In this paper we prove a weighted sum formula for multiple harmonic sums modulo primes, thereby proving a weighted sum formula for finite multiple zeta values. Our proof utilizes difference equations for the generating series of multiple…

Number Theory · Mathematics 2018-08-03 Minoru Hirose , Hideki Murahara , Shingo Saito

The recent neutrino data converge towards a 3$\nu$ scheme with two large and one small mixing angles. Their implications for model-building are discussed. Some possible components of a flavor symmetry over quarks and leptons are singled…

High Energy Physics - Phenomenology · Physics 2007-05-23 Fu-Sin Ling

The paper is mostly a survey on recent results in Diophantine approximation, with emphasis on properties of exponents measuring various notions of Diophantine <approximation.

Number Theory · Mathematics 2007-05-23 Yann Bugeaud , Michel Laurent

In this note, we demonstrate the convergence of the Demailly approximation of a general (weakly) upper semi-continuous weight.

Complex Variables · Mathematics 2025-04-03 Shijie Bao , Qi'an Guan

We present a short summary of our present knowledge and understanding of neutrino masses and mixing.

High Energy Physics - Phenomenology · Physics 2010-11-25 Guido Altarelli

In \cite{PSMA}, Pal et al. introduced some weighted means and gave some related inequalities by using an approach for operator monotone functions. This paper discusses the construction of these weighted means in a simple and nice setting…

Functional Analysis · Mathematics 2020-05-26 Mustapha Raïssouli , Shigeru Furuichi

The determination of chemical mixture components is vital to a multitude of scientific fields. Oftentimes spectroscopic methods are employed to decipher the composition of these mixtures. However, the sheer density of spectral features…

Astrophysics of Galaxies · Physics 2024-08-29 Zachary T. P. Fried , Brett A. McGuire

In this note, we reveal a relation between the weight distribution of a concatenated code ensemble based on the Plotkin construction and those of its component codes. The relation may find applications in the calculation of the ensemble…

Information Theory · Computer Science 2025-09-01 Xiao Ma

In this paper, we define an ordering relation for a set of complex numbers, and research the properties and theorems of the ordering, solve some simple complex inequalities with the ordering.

General Mathematics · Mathematics 2010-03-26 Sun Daochun , Gu Zhendong , Liu Weiqun , Yue Chao

A vector composition of a vector $\mathbf{\ell}$ is a matrix $\mathbf{A}$ whose rows sum to $\mathbf{\ell}$. We define a weighted vector composition as a vector composition in which the column values of $\mathbf{A}$ may appear in different…

Combinatorics · Mathematics 2018-08-28 Steffen Eger

In this talk I will review our present knowledge on neutrino masses and mixing trying to emphasize what has been definitively proved and what is in the process of being probed. I will also discuss the most important theoretical implications…

High Energy Physics - Phenomenology · Physics 2011-01-31 M. C. Gonzalez-Garcia

We explain some fundamental differences between the theories of mixed Hodge modules and mixed twistor modules (including the difference in weight system on the nearby cycle functor) which do not seem to be clarified explicitly in the…

Algebraic Geometry · Mathematics 2016-11-04 Morihiko Saito

In this paper, we constructed a model to determine weights of criterias and presented a solution for determining the optimal alternative by using the constructed model and relationship analysis between criterias in fuzzy group…

Artificial Intelligence · Computer Science 2017-05-17 Jon JaeGyong , Mun JongHui , Ryang GyongIl

We review theoretical ideas, problems and implications of neutrino masses and mixing angles. We give a general discussion of schemes with three light neutrinos. Several specific examples are analyzed in some detail, particularly those that…

High Energy Physics - Phenomenology · Physics 2007-05-23 Guido Altarelli , Ferruccio Feruglio

A brief review of the status of neutrino oscillations is given. The phenomenology of neutrino mixing and the standard seesaw mechanism of neutrino mass generation is discussed. Different approaches to neutrino oscillations are considered…

High Energy Physics - Phenomenology · Physics 2015-05-20 S. M. Bilenky