Search results for: mathematical expectation

Authors: S. Rozhkova, O. Rozhkova, A. Harlova, V. Lasukov

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We have conducted the optimal synthesis of root-mean-squared objective filter to estimate the state vector in the case if within the observation channel with memory the anomalous noises with unknown mathematical expectation are complement in the function of the regular noises. The synthesis has been carried out for linear stochastic systems of continuous-time.

Keywords: mathematical expectation, filtration, anomalous noise, memory

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Authors: Khalil H. Al-Bayati, G. Nasma, Hussein Ban H. Adel

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The purpose of the present work is to calculate the expectation value of potential energy for different spin states (ααα ≡ βββ, αβα ≡ βαβ) and compare it with spin states (αββ, ααβ ) for lithium excited state (1s2s3s) and Li-like ions (Be+, B+2) using Hartree-Fock wave function by partitioning technique. The result of inter particle expectation value shows linear behaviour with atomic number and for each atom and ion the shows the trend ααα < ααβ < αββ < αβα.

Keywords: lithium excited state, potential energy, 1s2s3s, mathematical physics

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Authors: Supattra Pranee

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The purposes of this research are to study the current business of health spa and to study the customers’ level of expectation as well as level of satisfaction of the health spa business in Ranong, Thailand. This paper drew upon data collected from health spa customers by using questionnaire. In addition, an in-depth interview was utilized to collect data from health spa entrepreneurs. The findings revealed that the health spa business is growing very fast and the coming ASEAN Economic Community (AEC) will ameliorate the business growth and increase the customer base. There is a need to improve staff’s ability to communicate in English. However, the economic size of Ranong province is still small which has resulted in the hesitation of investors to increase their investment in this business. The findings also revealed four categories of level of expectation and satisfaction as follows: (1) Service: overall, customers had a high expectation with a mean of 3.80 and 0.873 SD and a high level of satisfaction with a mean of 3.66 and 0.704 SD. (2) Staff: overall, customers had a high expectation with a mean of 3.95 and 0.865 SD and a high level of satisfaction with a mean of 3.84 and 0.783 SD. (3) Product, Equipment, and Tools: overall, customers had a high expectation with a mean of 4.02 and 0.913 SD and a high level of satisfaction with a mean of 3.88 and 0.772 SD. (4) Place, Atmosphere, and Environment: overall, customers had a high expectation with a mean of 3.95 and 0.906 SD and a high level of satisfaction with a mean of 3.86 and 0.785 SD.

Keywords: expectation, health spa business, satisfaction, ranong province

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Authors: Zubdahe Noor, Haseeb Athar

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In this article, first a relation for conditional expectation is developed and then is used to characterize a general class of distributions F(x) = 1-e^(-ah(x)) through conditional expectation of difference of pair of generalized order statistics. Some results are reduced for particular cases. In the end, a list of distributions is presented in the form of table that are compatible with the given general class.

Keywords: generalized order statistics, order statistics, record values, conditional expectation, characterization

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Authors: Adilah Abdul Ghapor, Yong Zulina Zubairi, A. H. M. R. Imon

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Missing value problem is common in statistics and has been of interest for years. This article considers two modern techniques in handling missing data for linear functional relationship model (LFRM) namely the Expectation-Maximization (EM) algorithm and Expectation-Maximization with Bootstrapping (EMB) algorithm using three performance indicators; namely the mean absolute error (MAE), root mean square error (RMSE) and estimated biased (EB). In this study, we applied the methods of imputing missing values in two types of LFRM namely the full model of LFRM and in LFRM when the slope is estimated using a nonparametric method. Results of the simulation study suggest that EMB algorithm performs much better than EM algorithm in both models. We also illustrate the applicability of the approach in a real data set.

Keywords: expectation-maximization, expectation-maximization with bootstrapping, linear functional relationship model, performance indicators

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Authors: Adilah Abdul Ghapor, Yong Zulina Zubairi, Rahmatullah Imon

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Missing value problem is common in statistics and has been of interest for years. This article considers two modern techniques in handling missing data for linear functional relationship model (LFRM) namely the Expectation-Maximization (EM) algorithm and Expectation-Maximization with Bootstrapping (EMB) algorithm using three performance indicators; namely the mean absolute error (MAE), root mean square error (RMSE) and estimated biased (EB). In this study, we applied the methods of imputing missing values in the LFRM. Results of the simulation study suggest that EMB algorithm performs much better than EM algorithm in both models. We also illustrate the applicability of the approach in a real data set.

Keywords: expectation-maximization, expectation-maximization with bootstrapping, linear functional relationship model, performance indicators

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Authors: Preethi Sudarshanie Dassanayake, R. A. Sudath Weerasiri

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Objective: The objective of this study were to find out highest expectation and perception,highest gap between perception and expectation of service quality, and to find out such gaps between perception and expectation with regard to service quality dimensions were whether statistically significant. Methodology: This study carried out at the Out Patient Department (OPD) of the Veterinary Teaching Hospital (VTH), University of Peradeniya. Modified version of SERVQUAL with 22-pairs of items regarding expectation and perception of service quality in dimensions of tangible, reliability, responsiveness, assurance and empathy were included in Part 1 and the Part 2 of the questionnaire consisted of questions regarding socio-demographic factors. Sample size was 200 and sampling procedure was Systematic Random Sampling. Customers above 18 years of age, able to read, write and understand Sinhala or English language, visits more than twice in last six months and who willing to respond were selected. Findings: The analysis revealed customers expectations of service higher than the perceived for all 22- items of the SERVQUAL. This high expectation suggests that there is sufficient room for further improvement of service quality in all five dimensions. Originality/Value of the Paper: This study gave a new insight for poorly researched area of veterinary health service quality in Sri Lankan context. It provides hospital administrators and policy makers to develop strategies for further improvement of service quality according to customers' view.

Keywords: expectation, perception, service quality, SERVQUAL, veterinary health care

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Authors: Kawinphat Lertpontmanee

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The tourism industry in Thailand is regarded as an energizer of the domestic economy for several years. With this reason, researchers aim to study Visitor Expectation on a Tour Guide Business as part of promoting the Sustainability Tourism in Thailand. The study collected data via questionnaires from the population of 400 samples who have experienced the tour guide and traveling business. The research was studied by divided samples into two main groups, male samples and female sample. There are differences on their average salary per month and expectation on the tour company as part of promoting the Sustainability Tourism of the country. The majority of samples expect that the tour guide company will present the awareness of operating their business without any impact to the environment, offering an appropriated quality trips and offering a valuable price. The tour guide companies were expected to be expanded and operated in regional level in order to strengthen the community economy.

Keywords: expectation, tour guide business, sustainability tourism, sightseeing business

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Authors: Mochammad Thalut

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This essay discusses how educational leadership response the Muslims pupils’ problems and their expectation about education in the UK. As we know, the Muslims community in the country is increasing. However, the debate about educational leadership is still limited to the separation between religion and academic by westerns approach. It is found that there are four major problems of Muslims pupils that need to solve by the educational leader to provide social justice in education. Leader-teacher as an Islamic concept of the educational leader is an alternative approach that can be used by the educational leader to overcome the problems. In the end, it is strongly recommended to bring this issue to the leadership development program in the UK to give all aspiring heads understanding about Muslims expectation about education.

Keywords: Muslim, education, leadership, identity

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Authors: Abdullah A. AlShaher

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In this paper, we demonstrate how regression curves can be used to recognize 2D non-rigid handwritten shapes. Each shape is represented by a set of non-overlapping uniformly distributed landmarks. The underlying models utilize 2^nd order of polynomials to model shapes within a training set. To estimate the regression models, we need to extract the required coefficients which describe the variations for a set of shape class. Hence, a least square method is used to estimate such modes. We then proceed by training these coefficients using the apparatus Expectation Maximization algorithm. Recognition is carried out by finding the least error landmarks displacement with respect to the model curves. Handwritten isolated Arabic characters are used to evaluate our approach.

Keywords: character recognition, regression curves, handwritten Arabic letters, expectation maximization algorithm

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Authors: Khalil H. Al-Bayati, Khalid Omar Al-Baiti

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The energy expectation value for Li-like ions systems (Li, Be+ and Be2+) hasbeen calculated and examined within the ground state (1s2sα)^2 S and the excited state (1s3sα)^2 S in position space. The partitioning technique of Hartree-Fock (H-F) has been used for existing wavefnctions.

Keywords: energy expectation value, atomic systems, ground and excited states, Hartree-Fock approximation

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Authors: G. Çetinkaya, M. Yıldız, P. Çetinkaya

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Tourism is one of the world’s largest industries and its total contribution to the global economy in 2014 was US$7.6 trillion, which equates to 9.8% of total economy GDP in 2014. Mountains are important regions for tourism industry and its second most popular tourist destinations after coastal regions. Hiking and trekking are most popular activity in mountains region and it is estimated that more than 50 million people visit mountains each year. So that hiking was come out to individual activity and it’s to be a massive event. Nowadays hiking is commercialized and mostly it’s become organized by travel agency and tour operators. Travel agency which is offering hiking activities to know the demands of the individuals involved in these activities and is required to submit to it for services. The aim of this study to determined hiking participant expectation from hiking by travel agency perspective. 34 travel agency officials participated in the study. Data were collected by questionnaire developed by the researchers. Results show that according to travel agency officials “visual quality” is the most important expectation factor for hikers. And other expectation factors are “safety”, “accessibility”, “unspoiled local service”, “walking grade”, “expert guidance service”, “popularity of trail”, “uncrowded trail”, “substructure facilities”, “relevant cost”, “guidebook” and “suitable climatic conditions”.

Keywords: expectation, hikers, travel agency, mountain tourism

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Authors: S. Rozhkova, O. Rozhkova, A. Harlova, V. Lasukov

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For optimal unbiased filter as mean-square and in the case of functioning anomalous noises in the observation memory channel, we have proved insensitivity of filter to inaccurate knowledge of the anomalous noise intensity matrix and its equivalence to truncated filter plotted only by non anomalous components of an observation vector.

Keywords: mathematical expectation, filtration, anomalous noise, memory

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Authors: Tolga Gok, Kursad Sayin

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The aim of this study is to investigate the relationship between expectation, satisfaction and loyalty of South Korean tourists visiting Turkey. In the research, a questionnaire was used as a data collecting tool. The questionnaires are filled by South Korean tourists coming to Turkey through package tours and individual. The survey was conducted in 2014 in Nevsehir (Cappadocia Region) and Istanbul. Tourist guides and agency staff have helped the implementation of surveys. The survey questions are composed of 4 parts, which are “demographic characteristics of tourists”, “travel behavior characteristics”, “perception of expectations on destination attributes” and “perception of destination loyalty”. 5-point Likert type scale including 28 destination attributes was used to measure the expectations of South Korean tourists coming to Turkey. Questions were directed to the tourists to measure the destination loyalty. The questions relating to destination loyalty are “Talking about Turkey to others”, “Recommendation Turkey to others” and “Tourists’ intentions to revisit Turkey”. The basic hypothesis of the research is that there is a statistically significant relationship among expectations, satisfactions and destination loyalty of South Korean tourists coming to Turkey. The results indicated that the expectation had a significant effect on overall satisfaction. In addition, it was seen that between overall satisfaction of tourists and destination loyalty had a significant relationship. Based on findings, some suggestions for tour operators and travel agencies were made.

Keywords: tourist expectation, tourist satisfaction, destination loyalty, destination attributes

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Authors: Hui-Min Lai, Chin-Pin Chen, Yung-Fu Chang

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The expectation-confirmation model (ECM) is one of the most widely used models for evaluating information system continuance, and this model has been extended to other study backgrounds, or expanded with other theoretical perspectives. However, combining ECM with other theories or investigating the background problem may produce some disparities, thus generating inaccurate conclusions. Habit is considered to be an important factor that influences the user’s continuance behavior. This paper thus critically examines seven pairs of relationships from the original ECM and the habit variable. A meta-analysis was used to tackle the development of ECM research over the last 10 years from a range of journals and conference papers published in 2005–2014. Forty-six journal articles and 19 conference papers were selected for analysis. The results confirm our prediction that a high effect size for the seven pairs of relationships was obtained (ranging from r=0.386 to r=0.588). Furthermore, a meta-analytic structural equation modeling was performed to simultaneously test all relationships. The results show that habit had a significant positive effect on continuance intention at p<=0.05 and that the six other pairs of relationships were significant at p<0.10. Based on the findings, we refined our original research model and an alternative model was proposed for understanding and predicting information system continuance. Some theoretical implications are also discussed.

Keywords: Expectation-confirmation theory, Expectation-confirmation model, Meta-analysis, meta-analytic structural equation modeling.

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Authors: B. S.Akhmetov, S. T. Akhmetova, D. N. Nadeyev, V. Yu. Yegorov, V. V. Smogoonov

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Estimated probabilities of errors of the first and second kind for nonideal biometrics-neural transducers 256 outputs, the construction of nomograms based error probability of 'own' and 'alien' from the mathematical expectation and standard deviation of the normalized measures Hamming.

Keywords: modeling, errors, probability, biometrics, neural network, authentication

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Authors: Liman Zhao, Jianlong Zhang, Mingman Ren, Chuang Wang, Jian Liu

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Rural migrant children have become a fast-growing population in China as a consequence of the large-scale population flow from rural to urban areas in the context of urbanization. In China, the socioeconomic status of migrant children is relatively low in comparison to non-migrant children. Parents of migrant children often work in occupations with long working hours, high labor intensity, and low pay due to their poor academic qualifications. Most migrant children's parents have not received higher education and have no time to read with their children. The family of migrant children usually does not have a good collection of books either, which leads to these children’s insufficient reading and low reading levels. Moreover, migrant children frequently relocate with their parents, and their needs for knowledge and reading are often neglected by schools, which puts migrant children at risk of academic failure in China. Therefore, the academic achievement of rural migrant children has become a focus of education in China. This study explores the relationship between the educational expectation of rural migrant children and their critical reading competence in general and the moderating effect of the difference between parental educational expectation to their children and the children’s own educational expectation. The responses to a survey from 5113 seventh-grade children in a district of the capital city in China revealed that children who moved to cities in grades 4-6 of primary school performed the best in critical reading, and children who moved to cities after middle school showed the worst performance in critical reading. In addition, parents’ educational expectations of their children and their own educational expectations were both significant predictors of rural migrant children’s reading competence. The higher a child's expectations of a degree and the smaller the gap between parents' expectations of a child's education and the child's own education expectations, the better the child's performance in critical reading.

Keywords: educational expectation, critical reading competence, rural migrant children, moderating effect

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Authors: Aakansha Gupta, Neha Vadnere, Tapasvi Soni, M. Anbarsi

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Protein secondary structure prediction is one of the most important goals pursued by bioinformatics and theoretical chemistry; it is highly important in medicine and biotechnology. Some aspects of protein functions and genome analysis can be predicted by secondary structure prediction. This is used to help annotate sequences, classify proteins, identify domains, and recognize functional motifs. In this paper, we represent protein secondary structure as a mathematical model. To extract and predict the protein secondary structure from the primary structure, we require a set of parameters. Any constants appearing in the model are specified by these parameters, which also provide a mechanism for efficient and accurate use of data. To estimate these model parameters there are many algorithms out of which the most popular one is the EM algorithm or called the Expectation Maximization Algorithm. These model parameters are estimated with the use of protein datasets like RS126 by using the Bayesian Probabilistic method (data set being categorical). This paper can then be extended into comparing the efficiency of EM algorithm to the other algorithms for estimating the model parameters, which will in turn lead to an efficient component for the Protein Secondary Structure Prediction. Further this paper provides a scope to use these parameters for predicting secondary structure of proteins using machine learning techniques like neural networks and fuzzy logic. The ultimate objective will be to obtain greater accuracy better than the previously achieved.

Keywords: model parameters, expectation maximization algorithm, protein secondary structure prediction, bioinformatics

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Authors: Hongxia Wang, Yanjie Wang, Xiuqin Wang, Linlin Mo, Shuangshuang Niu

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Special Education Resource Center (SERC) is the localized product in the development of inclusive education in People’s Republic of China, which provides professional support and service for the students with special education needs(SEN) and their parents, teachers as well as inclusive schools. The study investigated 155 administrators, resource teachers and inclusive education teachers from primary and secondary schools in Beijing. The results indicate that: (1) The surveyed teachers put highest expectation of SERC on specialized guidance and teacher training , instead of research and administration function; (2) Each dimension of professional support needs gets higher scores, in which individual guidance gets highest score, followed by instruction guidance, psychological counseling, proposing suggestions, informational support and teacher training; (3) locality and training experience of surveyed teachers significantly influence their expectations and support needs of SERC.

Keywords: special education resource center (SERC) , functional expectation, professional support needs, support system

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Authors: Benedict Ita, Peter Okoi

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In this work, the concept of the extended Nikiforov-Uvarov technique is discussed and employed to obtain the exact bound state energy eigenvalues and the corresponding normalized eigenfunctions of the inverse square root potential. With expressions for the exact energy eigenvalues and corresponding eigenfunctions, the expressions for the expectation values of the inverse separation-squared, kinetic energy, and the momentum-squared of the potential are presented using the Hellmann Feynman theorem. For visualization, algorithms written and implemented in Python language are used to generate tables and plots for l-states of the energy eigenvalues and some expectation values. The results obtained here may find suitable applications in areas like atomic and molecular physics, chemical physics, nuclear physics, and solid-state physics.

Keywords: Schrodinger equation, Nikoforov-Uvarov method, inverse square root potential, diatomic molecules, Python programming, Hellmann-Feynman theorem, second order differential equation, matrix algebra

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Authors: Erol Karaca

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This study aims to analyze ceramic employees’ occupational health and safety training expectations. To that general objective, the study tries to examine whether occupational health and safety training expectations of ceramic employees meaningfully differentiate depending on demographic features and professional, social and economic conditions. For this purpose, the research data was collected through “Questionnaire of Occupational Health and Safety Training Expectation” (QSOHSTE) consisting of 25 open and close-ended questions developed by the researcher on the base of the literature review. QSOHSTE was applied to 125 ceramic employees working in Kutahya, Turkey. Data obtained from questionnaires were analyzed via SPSS 21. The findings, obtained from the study, revealed that employees’ agreement level to occupational health and safety training expectation statements is generally high-level. These findings also reveals that employees have various expectations about occupational health and safety training. These expectations are increasing sensitivity towards occupational health and safety training about the prevention of occupational accidents and diseases, contributing occupational health and safety training in establishing healthy and safe working environment, requiring occupational health and safety training before starting work, in case of changing working equipment and new technological applications, necessity of measurement and evaluation after occupational health and safety training. Besides these findings, employees’ agreement level to occupational health and safety training expectation statements also varies in terms of educational level, professional seniority, income level and perception of economic condition.

Keywords: occupational health and safety, occupational training, occupational expectation, professional seniority

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Authors: Niloofar Mobasem, Kambiz Heidarzadeh Hanzaee

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Purpose: The study aimed to measure the customer satisfaction with service recovery through the conflict management framework, especially assessing the role of pre-existing attitudes for measuring the customer response to the service failure. Design/ methodology/ approach: The study is based on the experimental research method. The factorial designs are used in the research that measures the variables in two separate studies. In the first study, the factorial design is 3 conflict management style: cooperative, competitive, avoiding; - 3 service performance: exceed expectation, meet expectation, fail to meet expectation; and in the second study includes: - 3 conflict management style: cooperative, competitive, avoiding; - 2 service performance: exceed expectation, fail to meet expectation; - 2 pre-existing attitude: positive, negative. Finding: The results of study based on a scenario indicate that the conflict management style affected on customer satisfaction by service recovery efforts as well as the pre-existing attitudes affected the customer interpretation for service providers (conflict management style) and those who have positive pre-existing attitudes are interested to response to the cooperative approach in dealing with service failure. Research limitation/ implication: According to all researches, the study has several limitations. The nature of scenario in this study may cause to hit the reality of life. Although, the similar scenario approaches commonly are used for such researches, but the approaches are not without criticism. Practical implications: Given the importance of service recovery, companies can understand the importance of creating customer satisfaction achieved by the positive results due to the service recovery during the shortness or service failure by the mentioned companies. Originality/ value: The study highlights the importance of service failure and providing the education in relation to the service recovery.

Keywords: service recovery, pre-existing attitude, service failure, customer satisfaction

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Authors: Chieh-Chun Chang, Cheng-Ting Shih, Yan-Lin Liu, Shu-Jun Chang, Jay Wu

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With the widespread use of digital mammography (DM), radiation dose evaluation of breasts has become important. X-ray spectra are one of the key factors that influence the absorbed dose of glandular tissue. In this study, we estimated the X-ray spectrum of DM using the expectation maximization (EM) algorithm with the transmission measurement data. The interpolating polynomial model proposed by Boone was applied to generate the initial guess of the DM spectrum with the target/filter combination of Mo/Mo and the tube voltage of 26 kVp. The Monte Carlo N-particle code (MCNP5) was used to tally the transmission data through aluminum sheets of 0.2 to 3 mm. The X-ray spectrum was reconstructed by using the EM algorithm iteratively. The influence of the initial guess for EM reconstruction was evaluated. The percentage error of the average energy between the reference spectrum inputted for Monte Carlo simulation and the spectrum estimated by the EM algorithm was -0.14%. The normalized root mean square error (NRMSE) and the normalized root max square error (NRMaSE) between both spectra were 0.6% and 2.3%, respectively. We conclude that the EM algorithm with transmission measurement data is a convenient and useful tool for estimating x-ray spectra for DM in clinical practice.

Keywords: digital mammography, expectation maximization algorithm, X-Ray spectrum, X-Ray

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Authors: Elisa Negretto

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Improvisation is a fundamental form of musical practice and an increasing amount of literature shows a particular interest on the consequences it might have in different kinds of social contexts. A relevant aspect of the musical experience is the ability to create expectations, which reflects a basic strategy of the human mind, an intentional movement toward the future which is based on previous experiences. Musical Expectation – an unconscious tendency to project forward in time, to predict future sound events and the ongoing of a musical experience – can be regarded as a process that strongly influences the listeners’ emotional and affective response to music, as well as their social and aesthetic experience. While improvising, composers, interpreters and listeners generate and exchange expectations, thus creating a dynamic dialogue and meaningful relationships. The aim of this paper is to investigate how expectation contributes to the creation of such a dialogue during the unfolding of the musical experience and to what extent it influences the meaning music acquires during the performance. The difference between the ability to create expectations and the anticipation of the future ongoing of music will be questioned. Does it influence in different ways the meaning of music and the kind of dialogical relationship established between musicians and between performers and audience? Such questions will be investigated with reference to recent research in music cognition and the analysis of a particular case: a free jazz performance during which musicians improvise and/or change the location of the sound source. The present paper is an attempt to provide new insights for investigating and understanding the cognitive mechanisms underlying improvisation as a musical and social practice. They contribute to the creation of a model that we can find in many others social practices in which people have to build meaningful relationships and responses to environmental stimuli.

Keywords: anticipation, expectation, improvisation, meaning, musical dialogue

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Authors: S. A. Sadegh Zadeh, C. Kambhampati

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Mathematical and computational modellings are the necessary tools for reviewing, analysing, and predicting processes and events in the wide spectrum range of scientific fields. Therefore, in a field as rapidly developing as neuroscience, the combination of these two modellings can have a significant role in helping to guide the direction the field takes. The paper combined mathematical and computational modelling to prove a weakness in a very precious model in neuroscience. This paper is intended to analyse all-or-none principle in Hodgkin-Huxley mathematical model. By implementation the computational model of Hodgkin-Huxley model and applying the concept of all-or-none principle, an investigation on this mathematical model has been performed. The results clearly showed that the mathematical model of Hodgkin-Huxley does not observe this fundamental law in neurophysiology to generating action potentials. This study shows that further mathematical studies on the Hodgkin-Huxley model are needed in order to create a model without this weakness.

Keywords: all-or-none, computational modelling, mathematical model, transmembrane voltage, action potential

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Authors: Daniel Fundi Murithi

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Data from economic, social, clinical, and industrial studies are in some way incomplete or incorrect due to censoring. Such data may have adverse effects if used in the estimation problem. We propose the use of Maximum Likelihood Estimation (MLE) under a progressive type-II censoring scheme to remedy this problem. In particular, maximum likelihood estimates (MLEs) for the location (µ) and scale (λ) parameters of two Parameter Rayleigh distribution are realized under a progressive type-II censoring scheme using the Expectation-Maximization (EM) and the Newton-Raphson (NR) algorithms. These algorithms are used comparatively because they iteratively produce satisfactory results in the estimation problem. The progressively type-II censoring scheme is used because it allows the removal of test units before the termination of the experiment. Approximate asymptotic variances and confidence intervals for the location and scale parameters are derived/constructed. The efficiency of EM and the NR algorithms is compared given root mean squared error (RMSE), bias, and the coverage rate. The simulation study showed that in most sets of simulation cases, the estimates obtained using the Expectation-maximization algorithm had small biases, small variances, narrower/small confidence intervals width, and small root of mean squared error compared to those generated via the Newton-Raphson (NR) algorithm. Further, the analysis of a real-life data set (data from simple experimental trials) showed that the Expectation-Maximization (EM) algorithm performs better compared to Newton-Raphson (NR) algorithm in all simulation cases under the progressive type-II censoring scheme.

Keywords: expectation-maximization algorithm, maximum likelihood estimation, Newton-Raphson method, two-parameter Rayleigh distribution, progressive type-II censoring

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Authors: Pitsanu Poonpetpun

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This research paper consisted of three objectives: 1) to investigate actual perception of Suan Sunandha Rajabhat University’s members towards roles and performances of the Coordinating Council Office under the University Council; 2) to investigate expectation of Suan Sunandha Rajabhat University’s members towards roles and performances of the Coordinating Council Office under the University Council; and 3) to compare actual perception and expectation of Suan Sunandha Rajabhat University’s members towards roles and performances of the Coordinating Council Office under the University Council. A total of 316 samples from the population of the members of Suan Sunandha Rajabhat University were selected by use of the simple random sampling technique. Descriptive statistics and Dependent T- Test for paired samples were used, where the Dependent T- Test was for an analysis of a comparison of actual perception and expectation of Suan Sunandha Rajabhat University’s members towards roles and performances of the Coordinating Council Office under the University Council. The findings unveiled significantly high levels for the following roles: [i] appropriately circulating agendas and meeting files before time; [ii] preparing appropriate amount and quality of audio- visual equipment for meetings; [iii] compiling and keeping up-to-date documents; [iv] coordinating and working on linking all useful information to serve for the university uses for strategic policing; and [v] preparing appropriate meeting venues.

Keywords: coordinating council office of the university council, expected role, perceived role, performances of duties

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Authors: Ahmed Tarek, Ahmed Alveed

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In the theory of computing, there are a wide variety of direct and indirect proof techniques. However, mathematical induction (MI) stands out to be one of the most powerful proof techniques for proving hypotheses, theorems, and new results. There are variations of mathematical induction-based proof techniques, which are broadly classified into three categories, such as structural induction (SI), weak induction (WI), and strong induction (SI). In this expository paper, several different variants of the mathematical induction techniques are explored, and the specific scenarios are discussed where a specific induction technique stands out to be more advantageous as compared to other induction strategies. Also, the essential difference among the variants of mathematical induction are explored. The points of separation among mathematical induction, recursion, and logical deduction are precisely analyzed, and the relationship among variations of recurrence relations, and mathematical induction are being explored. In this context, the application of recurrence relations, and mathematical inductions are considered together in a single framework for codewords over a given alphabet.

Keywords: alphabet, codeword, deduction, mathematical, induction, recurrence relation, strong induction, structural induction, weak induction

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Authors: Peter Shi

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Algorithmic trading is a rapidly expanding domain within quantitative finance, constituting a substantial portion of trading volumes in the US financial market. The demand for rigorous and robust mathematical theories underpinning these trading algorithms is ever-growing. In this study, the author establishes a new stock market model that integrates the Efficient Market Hypothesis and the statistical arbitrage. The model, for the first time, finds probabilistic relations between the rational price and the market price in terms of the conditional expectation. The theory consequently leads to a mathematical justification of the old market adage: buy-low and sell-high. The thresholds for “low” and “high” are precisely derived using a max-min operation on Bayes’s error. This explicit connection harmonizes the Efficient Market Hypothesis and Statistical Arbitrage, demonstrating their compatibility in explaining market dynamics. The amalgamation represents a pioneering contribution to quantitative finance. The study culminates in comprehensive numerical tests using historical market data, affirming that the “buy-low” and “sell-high” algorithm derived from this theory significantly outperforms the general market over the long term in four out of six distinct market environments.

Keywords: efficient market hypothesis, behavioral finance, Bayes' decision, algorithmic trading, risk control, stock market

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Authors: Chih-Ping Chen

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Despite the increasing popularity of and interest in mobile games, there has been little research that evaluates gender differences in users’ actual preferences for mobile game content, and the factors that influence entertainment and mobile-learning habits. To fill this void, this study examines different gender users’ experience of mobile English learning game adoption in order to identify the areas of development in Taiwan, using Uses and Gratification Theory, Expectation Confirmation Theory and experiential value. The integration of these theories forms the basis of an extended research concept. Users’ responses to questions about cognitive perceptions, confirmation, gratifications and continuous use were collected and analyzed with various factors derived from the theories.

Keywords: expectation confirmation theory, experiential value, gender difference, mobile game, uses and gratification

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