On Enforcing Dyadic-type Homogeneous Binary Function Product Constraints in MatBase

Homogeneous binary function products are frequently encountered in the sub-universes modeled by databases,spanning from genealogical trees and sports to education and healthcare,etc.Their properties must be discovered and enforced by the software applications managing such data to guarantee plausibility.The(Elementary)Mathematical Data Model provides 17 types of dyadic-based homogeneous binary function product constraint categories.MatBase,an intelligent data and knowledge base management system prototype,allows database designers to simply declare them by only clicking corresponding checkboxes and automatically generates code for enforcing them.This paper describes the algorithms that MatBase uses for enforcing all 17 types of homogeneous binary function product constraint,which may also be employed by developers without access to MatBase.

BOUNDEDNESS OF DYADIC DERIVATIVE AND CESARO MEAN OPERATOR ON SOME B-VALUED MARTINGALE SPACES

In this article, it is proved that the maximal operator of one-dimensional dyadic derivative of dyadic integral I＊ and Cesàro mean operator σ＊ are bounded from the B-valued martingale Hardy spaces pΣα, Dα, pLα, p H#α, pKr to Lα （0 α ∞）, respectively. The facts show that it depends on the geometrical properties of the Banach space.

B-Valued Dyadic Derivative

The principles of the new maximal operator H＊ we defined are discussed. We prove that it is bounded from martingale Hardy-Lorentz L^Xp.q[0,1） to the Lorentz L^Xp.q[0,1） for 1/2〈 p〈∞, 0〈~ q ≤ ∞, where X is any Banach space. When the Banach space X has the RN property, the sequence dnHnf converges to f a.e. Meanwhile the convergence in L^Xp norm for 1≤p〈∞ is a consequence of that the family functions K （n∈N） is an approximate identity.

TWO-DIMENSIONAL MAXIMAL OPERATOR OF DYADIC DERIVATIVE ON VILENKIN MARTINGALE SPACES

In [1] the boundedness of one dimensional maximal operator of dyadic derivative is discussed. In this paper, we consider the two-dimensional maximal operator of dyadic derivative on Vilenkin martingale spaces. With the help of countcr-example we prove that the maximal operator is not bounded from the Hardy spacc Hq to the Hardy space Hq for 0 ≤ q ≤1 and is bounded from p∑a, Da to La for some a.

基于Non-dyadic自适应GoP结构的H.264/SVC算法改进

在H.264/SVC中,时域可分级特性是用分级B帧来实现的。在分级B帧的基础上,提出了一个改进的算法,即采用Non-dyadic自适应GoP结构(Adaptive GoP Structure,AGS)进行编码。新的算法不仅在SVC中引入了基于BH(Block HistogramDifference,块直方图差)的AGS,并且采用了新的GoP预测结构,即分级B帧的Non-dyadic预测,这样可以充分利用时间相关性。实验结果显示,该算法相比较原来的H.264/SVC在PSNR上能够大约改进0.1 dB。

ON TERM BY TERM DYADIC DIFFERENTIABILITY OF WALSH-KACZMARZ SERIES

The aim of this paper is to prove the following theorem concerning the term by term differentiation the-orem of Walsh-Kaczmarz series. Let (ck) be a decreasing real sequence withare integrable functions and f(x) is a. e. dyadic (or Butzer and Wagner) differentiate withThe function Kk means the kth Walsh-Kaczmarz function.

DYADIC METHOD FOR TENSOR FUNCTIONS

In this paper,we discuss tensor functions by dyadic representation of tensor.Two different cases of scalar invariants and two different cases of tensor invari- ants are calculated.It is concluded that there are six independent scale invariants for a symmetrical tensor and an antisymmetrical tensor,and there are twelve invariants for two symmetrical tensors and an antisymmetrical tensor.And we present a new list of tensor invariants for the tensor-valued isotropic function.

THE HARDY TYPE INEQUALITY FOR THE MAXIMAL OPERATOR OF THE ONE-DIMENSIONAL DYADIC DERIVATIVE

In this paper we prove that the maximal operator I of dyadic derivative is not bounded from the Hardy space H p [0, 1] to the Hardy space H p [0, 1], when 0 〈 p ≤ 1.

Construction theory of dyadic scale function and dyadic wavelet function

We derive the conditions for the existence of the unique solution of the two scale integral equation and the form of the solution, according to the method of the construction of the dyadic scale function. We give the construction of the dyadic wavelet and its necessary and sufficient condition. As an application, we also develop a pyramid algorithm of the dyadic wavelet decomposition.

THE DYADIC DERIVATIVE AND CESRO MEAN OF BANACH-VALUED MARTINGALES

In this article, the Banach space X and the martingales with values in it are considered. It is shown that the maximal operators of the one-dimensional dyadic derivative of the dyadic integral and Cesaro means are bounded from the dyadic Hardy- Lorentz space pH^-ra（X） to Lra（X） when X is isomorphic to a p-uniformly smooth space （1 〈p ≤ 2）. And it is also bounded from Hra（X） to Lra（X） （0 〈 r 〈 ∞,0 〈 a≤oc） when X has Radon-Nikodym property. In addition, some weak-type inequalities are given.

Spectral Theorems of Multidimensional Dyadic Stationary Series

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SPLITTING OF THE SPECTRAL DOMAIN ELECTRICAL DYADIC GREEN’S FUNCTION IN CHIRAL MEDIA

A new method of formulating dyadic (Green's) functions in lossless,reciprocal and unbounded chiral medium was presented.Based on Helmholtz theorem and the non-divergence and irrotational splitting of dyadic Dirac delta-function was this method, the electrical vector dyadic (Green's) function equation was first decomposed into the non-divergence electrical vector dyadic (Green's) function equation and irrotational electrical vector dyadic (Green's) function equation,and then (Fourier's) transformation was used to derive the expressions of the non-divergence and irrotational component of the spectral domain electrical dyadic (Green's) function in chiral media.It can avoid having to use the wavefield decomposition method and dyadic (Green's) function eigenfunction expansion technique that this method is used to derive the dyadic (Green's) functions in chiral media.

THE DYADIC GREEN'S FUNCTION IN A LOADED RECTANGULAR WAVEGUIDE AND ITS APPLICATION

This paper presents a method to derive the Dyadic Green’s Function(DGF)ofa loaded rectangular waveguide by using the image method.In the calculation of the DGF,we use the integral transformation and replace the multi-infinite summation by a single one;thus it greatly simplifies the calculation and saves computer time.As an example of the DGF’sapplication,we give the moment method’s scattering field calculation of a metal sphere resting onthe broad wall of the loaded rectangular waveguide.Results of our calculations well agree withboth data of experiments performed in our laboratory and those are published.It is easy to seethat the method used in this paper can be expanded to other related waveguide problems.

A NEW METHOD FOR SOLVING DYADIC GREEN'S FUNCTION OF ELECTROMAGNETIC FIELD

A new method for solving electromagnetic field boundary value problem is given.Byusing this method,the boundary value problem of the vector wave equation can be transformedinto the independent boundary value problem of scalar wave equations and the two additionalvector differential operations.All the dyadic Green’s functions got by eigenfunction expansionof the dyadic Green’s function can be got by this method easily and some of the dyadic Green’sfunctions for complex systems which are very difficult to get by the ordinary method have beengot by this new method.The dyadic Green’s function for a dielectric loaded cavity is one of thegiven examples.

The Interaction and Life Experiences between the Patient and the Nurse Caring for the Patient with COVID-19 in Turkey: A Qualitative Dyadic Approach

Previous research and observations have shown that COVID-19 affected both patients’and nurses’mental health.Even in the best times,one of the best ways to improve patients’experiences is to improve the health workers’experience.Therefore,it is important to be aware of the patterns of interaction between patients diagnosed with COVID-19 and the nurses caring for them and to help them recognize the strengths of their relationship.In this study,we aimed that purposed to discover the interaction and life experiences between the COVID-19 patients and the nurses who provided care for them in Turkey.With the dyadic approach,a qualitatively descriptive design has been used.The research examples consisted of 12 patients diagnosed with COVID-19 selected by purposeful exemplification and 12 nurses who provided care to them.Semi-structured individual in-depth interviews were conducted with individuals.The study adheres to the COREQ guidelines.As a result of the content analysis,four main themes came forward:life change,pandemic journey,getting strong together,new horizons.Institutions should focus on appropriate psychological interventions in order to fortify the relations and mental health of dyad members.Institutions should focus on appropriate psychological interventions in order to fortify the relations and mental health of dyad members.In our research,it is expected to guide related public institutions and non-governmental organizations on formulating policies related to protecting and maintaining the mental health of nurses and patients,extending the scope of existing information,providing patient-health worker security,to assess the problems on thefield through the eyes of patients-health workers and to take necessary precautions.This study,which deals with the interaction and life experiences of patients with COVID-19 and nurses who care for them,will shed light on patients,families,communities,organizations,health policies and systems.

Development of the Emerging Theory of Encountering Nursing in a Nurse-Nursed Dyadic Relationship (ThENNDyR)

Encounters are celebrated experiences between persons with connectedness in human situations as expectation. While being in a human dynamic and rhythmic interaction, nursing encounters are dyadic relationships illuminated as patterns of an interconnected relationship moving between the nurse and the nursed, and reflecting person-and-otherness events. The purpose of this paper is to describe the theory of Encountering Nursing in a Nurse-Nursed Dyadic Relationship (ThENNDyR) and to illuminate the four nursing practice processes on which the theory is founded: Knowing as appreciating relational moments;Reflecting as engaging moments;Realizing as patterns of living moments;and Transcending as celebrating moments. Nursing practice occurs in moments in which dyadic relationships transpire as nursing encounters. As fleeting as moments are, the four processes of nursing simultaneously take place as understanding conditions that the who and what of the person warrants persons. “Encountering nursing” is a momentary co-existence of persons in a person-and-otherness situation communicating connectedness-interconnectedness in distinct patterning. Interactions in nursing exist as persons remain wholes and complete in the moment.

COMPUTATION OF CONTINUOUS WAVELET TRANSFORM AT DYADIC SCALES BY SUBDIVISION SCHEME

A new algorithm to compute continuous wavelet transforms at dyadic scales is proposed here. Our approach has a similar implementation with the standard algorithme a trous and can coincide with it in the one dimensional lower order spline case.Our algorithm can have arbitrary order of approximation and is applicable to the multidimensional case.We present this algorithm in a general case with emphasis on splines anti quast in terpolations.Numerical examples are included to justify our theorerical discussion.

A Dyadic Wavelet Filtering Method for 2-D Image Denoising

We improve spatially selective noise filtration technique proposed by Xu et al. and wavelet transform scale filtering approach developed by Zheng et al. A novel dyadic wavelet transform filtering method for image denoising is proposed. This denoising approach can reduce noise to a high degree while preserving most of the edge features of images. Different types of images are employed to test in the numerical experiments. The experimental results show that our filtering method can reduce more noise contents while maintaining more edges than hard-threshold, soft-threshold filters, Xu’s method and Zheng’s method.

On Detecting and Enforcing the Non-Relational Constraints Associated to Dyadic Relations in MatBase

MatBase is a prototype data and knowledge base management expert intelligent system based on the Relational,Entity-Relationship,and(Elementary)Mathematical Data Models.Dyadic relationships are quite common in data modeling.Besides their relational-type constraints,they often exhibit mathematical properties that are not covered by the Relational Data Model.This paper presents and discusses the MatBase algorithm that assists database designers in discovering all non-relational constraints associated to them,as well as its algorithm for enforcing them,thus providing a significantly higher degree of data quality.

RESEARCH ON PERFECT DYADIC BINARY SEQUENCE PAIR

In this paper, the perfect dyadic binary sequence pair with one-value dyadic correlation functions is presented. That is, the perfect dyadic binary sequence pair is a perfect discrete signal, for its dyadic relative function is δ-function. The transformation features and some existing admissibility conditions of perfect dyadic binary sequence pair are discussed, and the properties for this kind of code in Walsh transformation spectrum and weight spectrum are also analyzed. From above, It is found that the perfect dyadic binary sequence pair can easily differentiate from its dyadic shifting. So these good signals can used in engineering as synchronization code, multi-user code and so on.