Quasi-χ~2 Distribution and the Independence of Wishart Distribution

In this paper, the authors generalize the definition of χ 2 distribution and introduce a quasi χ 2 distribution, and then prove several properties of it, find the necessary and sufficient conditions of independence about multivariate normal distributions, matrix normal distributions and two parts of the Wishart distribution.

Origin of the Dashuigou independent tellurium deposit at Qinghai–Xizang Plateau: constraints from the light stable isotopes C, O, and H

By studying the light isotopic compositions of carbon,oxygen,and hydrogen,combined with previous research results on the ore-forming source of the deposit,the authors try to uncover its metallogenic origin.The δ^(18)O and δ^(13)C isotope signatures of dolomite samples vary between 10.2 and 13.0‰,and between−7.2 and−5.2‰,respectively,implying that the carbon derives from the upper mantle.δD and δ^(18) O of quartz,biotite,and muscovite from diff erent ore veins of the deposit vary between−82 and−59‰,and between 11.6 and 12.4‰,respectively,implying that the metallogenic solutions are mainly magmatic.According to the relevant research results of many isotope geologists,the fractionation degree of hydrogen isotopes increases as the depth to the Earth’s core increases,and the more diff erentiated the hydrogen isotopes are,the lower their values will be.In other words,mantle-derived solutions can have extremely low hydrogen isotope values.This means that the δD‰ value−134 of the pyrrhotite sample numbered SD-34 in this article may indicate mantle-derived oreforming fl uid of the deposit.The formation of the Dashuigou tellurium deposit occurred between 91.71 and 80.19 Ma.

Independence Polynomials and the Merrifield-Simmons Index of Mono-Layer Cylindrical Grid Graphs

Research on the independence polynomial of graphs has been very active.However,the computational complexity of determining independence polynomials for general graphs remains NP-hard.Letα(G)be the independence number of G and i(G;k)be the number of independent sets of order k in G,then the independence polynomial is defined as I(G;x)=∑_(k=0)^(α(G))i(G;k)x^(k),i(G;0)=1.In this paper,by utilizing the transfer matrix,we obtain an analytical expression for I(CGn;x)of mono-cylindrical grid graphs CGn and present a crucial proof of it.Moreover,we also explore the Merrifield-Simmons index and other properties of CGn.

Analysis of the Role of Problem-Based Independent Learning Model in Teaching Cerebral Ischemic Stroke First Aid in Emergency Medicine

Objective:To analyze the effect of using a problem-based(PBL)independent learning model in teaching cerebral ischemic stroke(CIS)first aid in emergency medicine.Methods:90 interns in the emergency department of our hospital from May 2022 to May 2023 were selected for the study.They were divided into Group A(45,conventional teaching method)and Group B(45 cases,PBL independent learning model)by randomized numerical table method to compare the effects of the two groups.Results:The teaching effect indicators and student satisfaction scores in Group B were higher than those in Group A(P<0.05).Conclusion:The use of the PBL independent learning model in the teaching of CIS first aid can significantly improve the teaching effect and student satisfaction.

Analysis of the Application Value of Virtual Reality Combined with Flipped Classroom Teaching Mode in Cardiopulmonary Resuscitation Teaching

Objective:To analyze the value of using virtual reality combined with the flipped classroom teaching model in teaching cardiopulmonary resuscitation(CPR).Methods:Two classes of our nursing program were randomly selected for the study from September 2022 to September 2023,Class A(52 students,conventional teaching method)and Class B(52 students,virtual reality combined with flipped classroom teaching mode).The assessment scores and independent learning ability scores of the students in the two classes were compared.Results:CPR theory and operation scores,passing rate,and independent learning ability scores of Class B were higher than those of Class A(P<0.05).Conclusion:the use of virtual reality combined with the flipped classroom teaching mode in CPR teaching is conducive to the improvement of students’assessment scores and independent learning ability.

Decomposition of Independence Using the Logit Uniform Association Model and Equality of Concordance and Discordance for Two-Way Classifications

For two-way contingency tables with ordered categories, the present paper gives a theorem that the independence model holds if and only if the logit uniform association model holds and equality of concordance and discordance for all pairs of adjacent rows and all dichotomous collapsing of the columns holds. Using the theorem, we analyze the cross-classification of duodenal ulcer patients according to operation and dumping severity.

Lawyers＇ Perceptions and Attitudes Towards the New Information and Communication Technologies （ICTs）： A Case Study of the Southern Professional Institute （IPReS） From the Federal State University of Morelos （UAEM）

A quantitative, non-experimental, and cross-sectional descriptive study was conducted to analyze the perceptions and attitudes of attorney teachers, from the Southern Professional Institute （IPReS） of the Federal State University of Morelos （UAEM）, towards the new information and communication technologies （ICTs）. The investigation was conducted by the method of survey and gathering information through the application of teachers＇ Attitudes Questionnaire to Computers derived from the instrument ＂Teachers＇ Attitudes Toward Computers＂ of Christensen and Knezek （1996） to the total teachers with a law degree who work at the institute. The dimensions involved in the questionnaire were： liking/utility, email, frustration/anxiety, learning/productivity, and negative impact. The results projected in the study reflected that teachers have a positive attitude （medium to favorable） with respect to computers and emails. In addition, the results showed the absence of teachers＇ feelings of anxiety, nervousness, or fear towards using computers.

Conditional Independence Leads to Satisfaction of the Bell Inequality without Assuming Non-Locality or Non-Reality

The original Bell inequality was obtained in a statistical derivation assuming three mutually cross-correlated random variables (four in the later version). Given that observations destroy the particles, the physical realization of three variables from an experiment producing two particles per trial requires two separate trial runs. One assumed variable value (for particle 1) occurs at a fixed instrument setting in both trial runs while a second variable (for particle 2) occurs at alternative instrument settings in the two trial runs. Given that measurements on the two particles occurring in each trial are themselves correlated, measurements from independent realizations at mutually exclusive settings on particle 2 are conditionally independent, i.e., conditionally dependent on particle 1, through probability. This situation is realized from variables defined by Bell using entangled particle pairs. Two correlations have the form that Bell computed from entanglement, but a third correlation from conditionally independent measurements has a different form. When the correlations are computed using quantum probabilities, the Bell inequality is satisfied without recourse to assumptions of non-locality, or non-reality.

Algebraic Independence Measures for the Values of Mahler Type Functions

In this paper, we give the algebraic independence measures for the values ofMahler type functions in complex number field and p-adic number field, respectively.

Lawyers' Role Greater in China's Legal System——A review of legal services in China over the past two decades

Lawyers play no small a role in improving China’s legal system, which comes along with the country’s endeavor to build a market-oriented economy and open to the outside world. Legal services provided by lawyers have virtually become available to all sectors of society since the country adopted the policy of reform and opening up in the late 1970s.

THE ONLY ONE Of THE DALAI LAMAS TO PREACH 'TIBETAN INDEPENDENCE'

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A Brief Account of Independent College in China:Its Past and Further Development

This article briefs the past and development of independent colleges until now in China,dealing with the reasons why they have come into existence and developed in a remarkable way.A somewhat detailed analysis of their distinctions from other higher education has been made and the further development strategies are also presented in it.

The Use of Field Dependence/Independence in Language Acquisition

Field dependence/independence in Language Acquisition are discussed by many language learners.In this article,we will mainly focus on talking about the cognitive style,including the concept of Field-dependence/independence,their character istics and differences and functions in language acquisition.

Research on the Training Mode of “the Combination of College Students’ Extracurricular English Autonomous Learning and Chinese Culture” Based on WeChat Platform

In today’s college English extracurricular learning,college students often neglect the combination of English language learning and the input of Chinese traditional cultural knowledge,paying too much attention to Western culture learning,ignoring their traditional culture and lead to be speechless when encountering cultural exchange activities.The author believes that college students should pay attention to the input of Chinese traditional cultural content in the process of independent English learning outside the classroom.The creative team of college students led by the author through the WeChat platform,in Xinjiang Agricultural University,conducted a combination of Chinese culture input and English autonomous learning,aiming at strengthening the effectiveness of English learning,improving the self-learning ability and intercultural communication skills.

Chinese delegation attends the World Telecommunication Standardization Assembly

The World Telecommunication Standardization Assembly(WTSA-24) took place on October 15-24 in New Delhi, India. Held by ITU every four years, the global event defines the next period of study for ITU-T.The assembly was attended by over 3,000 representatives from more than 150 ITU member states, six regional telecommunication organizations in the Asia-Pacific, Europe, Americas, Africa, Arab, and the Commonwealth of Independent States, as well as related international organizations and renowned enterprises, which reaches a record high. The event focused on the direction of ITU's standards research in the period of 2025-2028, and the election of research group management positions, and other important issues.

Nonparametric Feature Screening via the Variance of the Regression Function

This article develops a procedure for screening variables, in ultra high-di- mensional settings, based on their predictive significance. This is achieved by ranking the variables according to the variance of their respective marginal regression functions (RV-SIS). We show that, under some mild technical conditions, the RV-SIS possesses a sure screening property, which is defined by Fan and Lv (2008). Numerical comparisons suggest that RV-SIS has competitive performance compared to other screening procedures, and outperforms them in many different model settings.

Systematic Elastostatic Stiffness Model of Over-Constrained Parallel Manipulators Without Additional Constraint Equations

The establishment of an elastostatic stiffness model for over constrained parallel manipulators(PMs),particularly those with over constrained subclosed loops,poses a challenge while ensuring numerical stability.This study addresses this issue by proposing a systematic elastostatic stiffness model based on matrix structural analysis(MSA)and independent displacement coordinates(IDCs)extraction techniques.To begin,the closed-loop PM is transformed into an open-loop PM by eliminating constraints.A subassembly element is then introduced,which considers the flexibility of both rods and joints.This approach helps circumvent the numerical instability typically encountered with traditional constraint equations.The IDCs and analytical constraint equations of nodes constrained by various joints are summarized in the appendix,utilizing multipoint constraint theory and singularity analysis,all unified within a single coordinate frame.Subsequently,the open-loop mechanism is efficiently closed by referencing the constraint equations presented in the appendix,alongside its elastostatic model.The proposed method proves to be both modeling and computationally efficient due to the comprehensive summary of the constraint equations in the Appendix,eliminating the need for additional equations.An example utilizing an over constrained subclosed loops demonstrate the application of the proposed method.In conclusion,the model proposed in this study enriches the theory of elastostatic stiffness modeling of PMs and provides an effective solution for stiffness modeling challenges they present.

The Rise and Impacts of Kenya’s Hustler Movement

On December 12,2023,Kenya celebrated its 60th anniversary of independence.Since independence,Kenya’s political operations have long been characterized by tribal politics,and during the 2022 elections,United Democratic Alliance(UDA)presidential candidate William Samoei Ruto advocated a Hustler Movement with a platform focused on serving the interests of the underprivileged.The Movement,with its policy orientation of responding to the concerns of the hustler(refer to those forced to squeeze out a meagre living on the margins of society comparing to people from Kenya’s big-name families),seeks to move electoral politics away from the previous competition at the tribal and regional levels,and to construct an issue-oriented mode of political operation,which has given a new meaning to the development of Kenyan politics.Ruto became president in September 2022 after the Hustler Movement gained broad social support.Over the past years,the Ruto government has transformed the Hustler Movement’s policy ideas into a program of governance,reshaping Kenya’s political development agenda in practical terms.The influence of the Hustler Movement has become more and more visible,deeply reflecting the trend of Kenya’s political development over the past 60 years of independence.

Transformation of French Governance Model for Oceanian Overseas Territories

The governance of France's overseas territories in Oceania has undergone a significant model transformation since the end of World War Ⅱ. In recent years, it has further highlighted its determination to pursue strategic autonomy. Through strict governance and legal mechanisms, France has promoted local autonomy and economic transformation, and has shifted the governance of these territories from colonial control to political cooperation and from predatory development to localized sustainable development. France's overseas territories in Oceania have increasingly become the fulcrum of its foreign strategy, serving the overall interests of its country and its overseas security. In recent years, France's governance policies in the region have become increasingly diversified, such as promoting economic diversification, strengthening regional security cooperation, weakening its independence tendencies, and promoting changes in the regional situation and relevant national policies.

Source Separation of Diesel Engine Vibration Based on the Empirical Mode Decomposition and Independent Component Analysis

Vibration signals from diesel engine contain many different components mainly caused by combustion and mechanism operations,several blind source separation techniques are available for decomposing the signal into its components in the case of multichannel measurements,such as independent component analysis（ICA）.However,the source separation of vibration signal from single-channel is impossible.In order to study the source separation from single-channel signal for the purpose of source extraction,the combination method of empirical mode decomposition（EMD） and ICA is proposed in diesel engine signal processing.The performance of the described methods of EMD-wavelet and EMD-ICA in vibration signal application is compared,and the results show that EMD-ICA method outperforms the other,and overcomes the drawback of ICA in the case of single-channel measurement.The independent source signal components can be separated and identified effectively from one-channel measurement by EMD-ICA.Hence,EMD-ICA improves the extraction and identification abilities of source signals from diesel engine vibration measurements.