SOME NONLINEAR INEQUALITIES INVOLVING IMPROPER INTEGRALS AND THEIR DISCRETE ANALOGUES

Some new inequalities involving improper integrals are established in the paper which generalize the related results due to Pachpatte and Rodrigues.Discrete analogues of the integral inequalities obtained are also derived.An example is given to show that the bound in Theorem 1 is not improvable.

复值型数据Improper线性回归模型的估计(英文)

复随机变量称为"improper"随机变量,若它的"伪"协方差阵不为0,否则称为"proper"随机变量.研究了误差服从独立同分布的improper复高斯分布的线性回归模型.利用极大似然方法和2阶段最小二乘方法来估计回归系数.模拟表明,这2种方法与经典复版本的最小二乘法有不同之处,并将该方法用于实际风信号数据的处理.

Proteomics analysis of liver proteins from rats with spleen-deficiency syndrome induced by chronic improper diet consumption and fatigue

Objective:To investigate a proteomics analysis of liver proteins from rats with spleen-deficiency syndrome (SDS) induced by chronic improper diet consumption and fatigue.Methods:This study used a liver proteomic profiling method to identify differentially expressed proteins and altered pathways involved in SDS rats.Specifically,we collected liver samples from a control group and a group with SDS induced by chronic improper diet consumption and fatigue for 4 weeks.The pooled liver proteins in each group were labeled with 8-plex isobaric tags for relative and absolute quantitation reagents.The labeled control and SDS group samples were pooled together and separated by high-pH reverse-phase liquid chromatography.The differentially expressed proteins from the liver proteomes were analyzed to identify potential biomarkers of SDS.Differentially expressed proteins were selected in conjunction with gene ontology and ingenuity pathway analysis.Results:We identified 2176 protein clusters with more than two peptides in the SDS group,with 141 proteins quantified as differentially expressed proteins.Of these,75 proteins were up-regulated,and 66 were down-regulated.Three activated signaling pathways,the thrombin,CXCR4 and synaptic long term depression signaling pathways,and a large multi-protein complex within the network were revealed in the liver proteomic analysis of SDS rats.Conclusions:This is the first report of a differential liver proteome under SDS conditions.The results suggest that the liver proteome partially reflects the pathological changes involved in SDS.The findings provide important information for comprehensively understanding the mechanisms of dysfunction or injury in the liver at the molecular level as a result of SDS.Furthermore,they provide a novel understanding of the connotation of SDS in the fleld of traditional Chinese Medicine.

Reply to "Discussion 1 on 'Introspection on improper seismic retrofit of Basilica Santa Maria di Collemaggio after 2009 Italian earthquake' by G.P.Cimellaro,A.M.Reinhorn and A.De Stefano" by Vincenzo Ciampi

The authors thank the discusser for his interest and careful review of the paper and his valuable comments. They also welcome this discussion,because it gives the authors the opportunity to clarify several points which were not explained in sufficient detail in the paper,due

Reply to "Discussion 2 on 'Introspection on improper seismic retrofit of Basilica Santa Maria di Collemaggio after 2009 Italian earthquake' by G.P. Cimellaro, A.M. Reinhorn and A.De Stefano" by Enzo Cartapati

The authors thank the discusser for the additional information,which is provided related to the historical interventions of the church through the centuries. This information was known to the authors,however they decided not to include it in the paper because of lack of space.Additional details regarding the retrofit

Discussion 1 on "Introspection on improper seismic retrofit of Basilica Santa Maria di Collemaggio after 2009 Italian earthquake" by G.P.Cimellaro,A.M.Reinhorn and A.De Stefano

The thesis of the paper,which is the object of this Discussion,is that the considerable damage suffered by the Basilica,after the earthquake of L’Aquila in 2009,was the exclusive result of the intervention of seismic improvement of the naves,made in 2000;such

Effective Solution of Riemann Problem for Fifth Order Improperly Elliptic Equation on a Rectangle

In this paper we present a numerical method for solving Riemann type problem for the fifth order improperly elliptic equation in complex plane .We reduce this problem to the boundary value problems for properly elliptic equations, and then solve those problems by the grid methods.

First-order phase transition and unexpected rigid rotation mode in hybrid improper ferroelectric(La,Al)co-substituted Ca_(3)Ti_(2)O_(7) ceramics

Ca_(3)Ti_(2)O_(7) with Ruddlesden-Popper structure exhibits the largest polarization among the known hybrid improper ferroelectrics.However,the high Curie temperature impedes the thorough study of phase transition through dielectric characterization.According to the previous theoretical design rule,the Curie temperature can be suppressed by increasing the tolerance factor.So,in the present work,high-quality Ca_(3-x)LaxTi_(2-x)Al_(x)O_(7)(x=0.0,0.1,0.2,0.3)ceramics with increased tolerance factors were successfully prepared.The amplitude of oxygen octahedral tilt mode indeed decreases with increasing tolerance factors,leading to a degeneration of ferroelectric polarization.However,the unexpected rigid rotation mode causes the composition-invariable coercive fields.The Curie temperatures decrease linearly with increasing x and tolerance factors.The variable-temperature dielectric constant confirms first-order improper ferroelectric transitions in Ca_(3)Ti_(2)O_(7)-based ceramics.The results of variable temperature Xray diffraction reveal the coexistence of two-phases below Curie temperature.The present work confidently confirms the first-order improper ferroelectric transition in Ca_(3)Ti_(2)O_(7)-based ceramics by combining results of variable-temperature dielectric response and in-situ X-ray powder diffraction.

Frame-indifference of cross products,rotations,and the permutation tensor

Under improper transformations,the traditional transformation laws for cross products,the permutation tensor,and rotations are incorrect.For a cross product,using a counter-example the left-hand rule is proved wrong.The unique rule for a cross product is the right-hand rule.Coordinate systems have handedness,while a cross product is frame-indifference.Since the permutation tensor is defined as a triple product including a cross product,the law for the permutation tensor is false.For a rotation,its pseudovector representation is incorrect,because the mirror is an auxiliary device to produce the virtual image rather than a new coordinate system or reference frame.

A Bayesian Quantile Regression Analysis of Potential Risk Factors for Violent Crimes in USA

Bayesian quantile regression has drawn more attention in widespread applications recently. Yu and Moyeed (2001) proposed an asymmetric Laplace distribution to provide likelihood based mechanism for Bayesian inference of quantile regression models. In this work, the primary objective is to evaluate the performance of Bayesian quantile regression compared with simple regression and quantile regression through simulation and with application to a crime dataset from 50 USA states for assessing the effect of potential risk factors on the violent crime rate. This paper also explores improper priors, and conducts sensitivity analysis on the parameter estimates. The data analysis reveals that the percent of population that are single parents always has a significant positive influence on violent crimes occurrence, and Bayesian quantile regression provides more comprehensive statistical description of this association.

A Method for Detecting Non-Mask Wearers Based on Regression Analysis

A novel practical and universal method of mask-wearing detection has been proposed to prevent viral respiratory infections.The proposed method quickly and accurately detects mask and facial regions using welltrained You Only Look Once(YOLO)detector,then applies image coordinates of the detected bounding box(bbox).First,the data that is used to train our model is collected under various circumstances such as light disturbances,distances,time variations,and different climate conditions.It also contains various mask types to detect in general and universal application of the model.To detect mask-wearing status,it is important to detect facial and mask region accurately and we created our own dataset by taking picture of images.Furthermore,the Convolutional Neural Network(CNN)model is trained with both our own dataset and open dataset to detect under heavy foot-traffic(Indoors).To make the model robust and reliable in various environment and situations,we collected various sample data in different distances.And through the experiment,we found out that there is a particular gradient according to the mask-wearing status.The proposed method searches the point where the distance between the gradient for each state and the coordinate information of the detected object is the minimum.Then it carry out the classification of mask-wearing status of detected object.Lastly,we defined and classified three different mask-wearing states according to the mask’s position(With mask,Wear a mask around chin and Without mask).The gradient according to the mask-wearing status,is analyzed through linear regression.The regression interpretation is based on coordinate information of mask-wearing status and the sample data collected in simulated environment that considering distances between objects and the camera in the World Coordinate System.Through the experiments,we found out that linear regression analysis is more suitable than logistic regression analysis for classification of people wearing masks in general-purpose environments.And the proposed method,through linear regression analysis,classifies in a very concise way than the others.

Continuous Dependence on the Initial-time Geometry for a Parabolic Equation from Dynamo Theory with Different Prescribed Data

In this paper, we derive the continuous dependence on the initial-time geometry for the solution of a parabolic equation from dynamo theory. The forward in time problem and backward in time problem are considered. An explicit continuous dependence inequality is obtained even with different prescribed data.

欧拉不等式的广义积分插入(英文)

从所周知,欧拉不等式2r≤R2(3)^(1/3)r≤3^(1/3)R。(1765)我们可加细到2(3)^(1/3)r≤(abc)1/3≤1/3(a+b+c)≤3^(1/3)R;(1)2(3)^(1/3)r≤(abc)^(1/3)≤{P integral from n=1 to ∞(+8)[(a+x)(b+x)(c+x)]^-(P+1)3dx}-1/P≤1/3(a+b+c)≤3^(1/3)R;(2)2(3)^(1/3)≤(abc)^(1/3){P integral from n=1 to ∞(+8)[(a+x)(b+x)(c+x)]^-(P+1)/3dx}^-(1/P)≤{Pintegral from n=1 to ∞(+8)λ^(-1)[(ι+λ)(a+x))^(1/3)(ι+λ(b+x))^(1/3)(ι+λ(c+x))^(1/3)-ι]^(-P-1)dx}^(-1/P)≤1/3(a+b+c)≤3^(1/3)R。(3)

Transformation Models for Survival Data Analysis with Applications

When the event of interest never occurs for a proportion of subjects during the study period, survival models with a cure fraction are more appropriate in analyzing this type of data. Considering the non-linear relationship between response variable and covariates, we propose a class of generalized transformation models motivated by Zeng et al. [1] transformed proportional time cure model, in which fractional polynomials are used instead of the simple linear combination of the covariates. Statistical properties of the proposed models are investigated, including identifiability of the parameters, asymptotic consistency, and asymptotic normality of the estimated regression coefficients. A simulation study is carried out to examine the performance of the power selection procedure. The generalized transformation cure rate models are applied to the First National Health and Nutrition Examination Survey Epidemiologic Follow-up Study (NHANES1) for the purpose of examining the relationship between survival time of patients and several risk factors.

Proper Reparametrization of Rational Ruled Surface

In this paper, we present a proper reparametrization algorithm for rational ruled surfaces. That is, for an improper rational parametrization of a ruled surface, we construct a proper rational parametrization for the same surface. The algorithm consists of three steps. We first reparametrize the improper rational parametrization caused by improper supports. Then the improper rational parametrization is transformed to a new one which is proper in one of the parameters. Finally, the problem is reduced to the proper reparametrization of planar rational algebraic curves.

RESEARCH ON THEORY, LEGISLATIONS AND PRACTICES ABOUT REGULATING NON-PRACTICING ENTITIES IN CHINA

Abstract Non-Practicing Entities （NPE）, as a subject, is a neutral concept, but the derogatory sense of translation and understanding on this concept and the chaos of understanding make the legal regulation of NPE encounter more difficulties and challenges. In fact, NPE issues are con~,erned, discussed and researched in China within quite a long period, however, it would not become an outstanding legal issue nowadays. NPE as a market entity, its existence is legitimate per se, and what the law should focus on is the unfair conduct that NPE might be engaged in rather than the subject of NPE itself. It is not necessary to make specific articles and provisions on the subject of NPE at present in the Patent Law of the People＇s Republic of China （PRC） and the Anti-Unfair Competition Law of the PRC which are revised in China, and a serial of rules and guidelines for Anti-Monopoly Law of the PRC which are formulated in China. It proved that the unfair conducts of NPE should be regulated according to Patent law, Anti-Unfair Competition Law and Anti-Monopoly Law as well as, reconfirmed that the conclusion that the regulation of NPE in China laws focus on conducts rather than subject in a serial of cases such as the anti-monopoly investigation case against INTERDIGITAL Corporation initiated by the National Development and Reform Commission, the case that the Ministry of Commerce imposed restrictive conditions to approve that Microsoft acquired Nokia equipment and service business, and the commercial defamation case that Shenzhen Libang Precision Instrument Co., Ltd vs Shenznen Mairui Divlogivai Meliva Electronic Co,Ltd.which was reviewed by the Supreme People＇s Court.

CONTINUOUS DEPENDENCE ON VELOCITY FOR THE BACKWARD DYNAMO EQUATION ON AN EXTERIOR DOMAIN

In this paper we study solutions to a forward Dynamo equation depending continuously on the velocity on an exterior domain,using Logarithmic Convexity Methods.We obtain some more weaker conditions by introducing the unbounded domain.