Metric measurement of digitized shapes is commonly applied in optical measuring systems.In this letter,three shape-related factors defined by the authors are used in the construction of amultiple linear regression mod...Metric measurement of digitized shapes is commonly applied in optical measuring systems.In this letter,three shape-related factors defined by the authors are used in the construction of amultiple linear regression model which is utilized to compute the circumference of the convex shapes inmillimeter unit.The model is first built upon the relationship hypothesis and then its adequacy ismathematically validated.The results of applying the developed model to the given number of convexshapes in a finite circumferential length range suggest that,in terms of percent error,the model pre-cision is to satisfaction by being within±4%.The test also shows the model’s robustness against theshape’s orientation anisotropy.展开更多
η-quantum languages are discussed and some of their properties are derived. Furthermore the q-quantum language is defined. It is shown that L(A1A2)=L(A1)∩L(A2), L(A)=L(A1)∪L(A2). So over the same alphabet the inter...η-quantum languages are discussed and some of their properties are derived. Furthermore the q-quantum language is defined. It is shown that L(A1A2)=L(A1)∩L(A2), L(A)=L(A1)∪L(A2). So over the same alphabet the intersection and union of two different q-quantum languages are also q-quantum languages.展开更多
Stormwater quality design manuals lack scientifically creditable bases for many novel LID (Low-Impact Development) designs presently proposed to meet stormwater runoff management requirements. Potential stormwater p...Stormwater quality design manuals lack scientifically creditable bases for many novel LID (Low-Impact Development) designs presently proposed to meet stormwater runoff management requirements. Potential stormwater pollutant adsorption and infiltration enhancement capabilities of forest-derived by-products (e.g. woodchips, bio-char) provide an opportunity to combine these readily availability materials into stormwater quality designs. On-site stormwater runoff treatment through determination of the soil-water transport and lead (Pb) retention capacity of two sandy soils from Oregon is considered. Using synthetic stormwater (-120 mg CI/L and -5 mg Pb/L) displacement tests in pairs ofABS (Acrylonitrile butadiene styrene) soil columns (75 mm dia by 0.46 m tall) with upward flow (to minimize air entrapment) saturated hydraulic conductivity, chloride dispersion and Pb retention by plain and amended soils is evaluated. Generally, soil amendment incorporation (woodchips, compost or biochar) as compared to an amendment layer resulted in improved hydraulic conductivities as compared to that of the soil alone. Chloride breakthrough curves verified that resident soil-water displacement occurred with 0.9 to 1.6 pore volumes and residence times for most columns were 15-30 minutes. No synthetic stormwater Pb "breakthrough" within the displaced or replaced soil-water was found, rather most Pb was adsorbed within the first 150 mm of soil.展开更多
The study was conducted to ascertain the views on piracy among marine engineering students and marine officers who had encountered piracy on international waters thereby suggesting threats to international peace. The ...The study was conducted to ascertain the views on piracy among marine engineering students and marine officers who had encountered piracy on international waters thereby suggesting threats to international peace. The respondents of the study were 50, specifically distributed to thirty (30) onboard marine engineering students enrolled for the current school year 2014-2015 and twenty (20) marine officers who had experienced piracy at Somalia and other places. The researchers employed quantitative-qualitative research method design. The questionnaire on "Piracy at Sea" was validated by experts in research, statistics, qualitative research, and maritime international conventions. To test the reliability, this same instrument was pilot-tested among marine officers and students who had been on board international ships. Qualitative data were captured through interviews by using open-ended questions. Frequency count, percentage, and rank were used in this study for descriptive-quantitative statistics. The data were analyzed using appropriate statistics through computer-processed software (SPSS). Qualitative analysis was employed to determine the views of the respondents on piracy so that mitigation measures were elicited for protection of life at sea leading towards international peace among identified HRAs (high-risk areas). Results revealed that seafarers were familiar of piracy. They were aware that piracy usually happens in areas like Somalia water sand other threatening territories. To combat piracy, the participants have pointed out the role of the international community in their concerted effort to help seafarers safeguard their lives specifically during these hard times. Somalia also needs to effectively check their organization by whether or not strict implementation of the Anti Piracy Law was being observed. Full knowledge of piracy, techniques for avoiding it, and surviving pirate attacks are necessary among seafarers. Satellite system called shiplock allows shipping companies to monitor location of ships particularly useful during pirate attacks, hijacks, or ship theft. They also install non-lethal electrical fences around a ship's perimeter to protect them during these times. IMO regulations require ships to send distress signals and warnings covertly in case of pirate attacks.展开更多
Teaching goal design is an important link of teaching design, which has the teaching, learning and measurement function. How to establish the appropriate teaching goal and properly state to enhance its guidance and de...Teaching goal design is an important link of teaching design, which has the teaching, learning and measurement function. How to establish the appropriate teaching goal and properly state to enhance its guidance and detection function are the important tasks of teaching design. This paper makes a programming and systematic analysis on the aspects of teaching goal design theory, teaching goal statement mode and technology, teaching goal statement and design and teaching goal design detection.展开更多
Surface reconstruction from unorganized data points is a challenging problem in Computer Aided Design and Geometric Modeling. In this paper, we extend the mathematical model proposed by Juttler and Felis (Adv. Comput...Surface reconstruction from unorganized data points is a challenging problem in Computer Aided Design and Geometric Modeling. In this paper, we extend the mathematical model proposed by Juttler and Felis (Adv. Comput. Math., 17 (2002), pp. 135-152) based on tensor product algebraic spline surfaces from fixed meshes to adaptive meshes. We start with a tensor product algebraic B-spline surface defined on an initial mesh to fit the given data based on an optimization approach. By measuring the fitting errors over each cell of the mesh, we recursively insert new knots in cells over which the errors are larger than some given threshold, and construct a new algebraic spline surface to better fit the given data locally. The algorithm terminates when the error over each cell is less than the threshold. We provide some examples to demonstrate our algorithm and compare it with Juttler's method. Examples suggest that our method is effective and is able to produce reconstruction surfaces of high quality.展开更多
The basic inference function of mathematical statistics, the score function, is a vector function. The author has introduced the scalar score, a scalar inference function, which reflects main features of a continuous ...The basic inference function of mathematical statistics, the score function, is a vector function. The author has introduced the scalar score, a scalar inference function, which reflects main features of a continuous probability distribution and which is simple. Its simplicity makes it possible to introduce new relevant numerical characteristics of continuous distributions. The t-mean and score variance are descriptions of distributions without the drawbacks of the mean and variance, which may not exist even in cases of regular distributions. Their sample counterparts appear to be alternative descriptions of the observed data. The scalar score itself appears to be a new mathematical tool, which could be used in solving traditional statistical problems for models far from the normal one, skewed and heavy-tailed.展开更多
There are two fundamental goals in statistical learning: identifying relevant predictors and ensuring high prediction accuracy. The first goal, by means of variable selection, is of particular importance when the tru...There are two fundamental goals in statistical learning: identifying relevant predictors and ensuring high prediction accuracy. The first goal, by means of variable selection, is of particular importance when the true underlying model has a sparse representation. Discovering relevant predictors can enhance the performance of the prediction for the fitted model. Usually an estimate is considered desirable if it is consistent in terms of both coefficient estimate and variable selection. Hence, before we try to estimate the regression coefficients β , it is preferable that we have a set of useful predictors m hand. The emphasis of our task in this paper is to propose a method, in the aim of identifying relevant predictors to ensure screening consistency in variable selection. The primary interest is on Orthogonal Matching Pursuit(OMP).展开更多
This paper aims to examine and analyse the level of intra-industry trade on economy of ASEAN. These data obtained from the accurate and reliable source of ASEAN Trade Statistics databases. The importance of intra-indu...This paper aims to examine and analyse the level of intra-industry trade on economy of ASEAN. These data obtained from the accurate and reliable source of ASEAN Trade Statistics databases. The importance of intra-industry and measurement is also described. Moreover, the linkage of intra-industry trade and investment liberalization under the ASEAN Economic Community (AEC) is also explained. The effective enhancement schemed to increase the competitiveness of specific industries had been proposed to enhance ASEAN to be efficient production hub and network of region that lead to the ultimate goal of single market. The further studies can be applied to construct and estimate the econometric model and forecasting technique to confirm the empirical results.展开更多
With the rapid development of the computational fluid dynamics(CFD),a parameter-free upwind scheme capable of simulating all speeds accurately and efficiently is in high demand.To achieve this goal,we present a new up...With the rapid development of the computational fluid dynamics(CFD),a parameter-free upwind scheme capable of simulating all speeds accurately and efficiently is in high demand.To achieve this goal,we present a new upwind scheme called AUSMPWM in this paper.This scheme computes the numerical mass flux as the AUSMPW+and computes the interfacial sound speed in a different way.Also,it computes the pressure flux by limiting the dissipation if the Mach number is less than 1.Series of numerical experiments show that AUSMPWM can satisfy the following attractive properties independent of any tuning coefficient:(1)Robustness against the shock anomaly and high discontinuity’s resolution;(2)high accuracy on hypersonic heating prediction and capability to give smooth reproductions of heating profiles;(3)low dissipation at low speeds;and(4)strong grid,reconstruction scheme,and Mach number independence in low speeds’simulations.These properties suggest that AUSMPWM is promising to be widely used to accurately and efficiently simulate flows of all speeds.展开更多
A temporal approach to fast shape measurement is presented.In principle,the rotational object method is used in combination with the sequence pulse counting method (SPCM) to determine the height of the object through ...A temporal approach to fast shape measurement is presented.In principle,the rotational object method is used in combination with the sequence pulse counting method (SPCM) to determine the height of the object through calculating the related phase.Two specimens are tested to demonstrate the validity of the approach.One is an object covered by a Chinese character (tea) with a height variety of 0.3 mm,and the other is an object surface with a relatively large fluctuation of 3.5 mm.The experimental results are compared with mechanical measurements.An axis shifting method is also proposed to determine shapes with relatively large fluctuations.Effects of such parameters on the height measurement as incident angle of the dual light beams,tilting angle of the object,and azimuth angle of the measured point are discussed as well.展开更多
Consider the following heteroscedastic semiparametric regression model:where {Xi, 1 〈 i 〈 n} are random design points, errors {ei, 1 〈 i 〈 n} are negatively associated (NA) random variables, (r2 = h(ui), and...Consider the following heteroscedastic semiparametric regression model:where {Xi, 1 〈 i 〈 n} are random design points, errors {ei, 1 〈 i 〈 n} are negatively associated (NA) random variables, (r2 = h(ui), and {ui} and {ti} are two nonrandom sequences on [0, 1]. Some wavelet estimators of the parametric component β, the non- parametric component g(t) and the variance function h(u) are given. Under some general conditions, the strong convergence rate of these wavelet estimators is O(n- 1 log n). Hence our results are extensions of those re, sults on independent random error settings.展开更多
Ranked set sample is applicable whenever ranking of a set of sample units can be done easily by a judgement method of the study variable or of the auxiliary variable. This paper considers ranked set sample based on th...Ranked set sample is applicable whenever ranking of a set of sample units can be done easily by a judgement method of the study variable or of the auxiliary variable. This paper considers ranked set sample based on the auxiliary variable X which is correlated with the study variable Y, where (X, Y) follows Morgenstern type bivariate exponential distribution. The authors discuss the optional allocation for unbiased estimators of the correlation coefficient p of the random variables X and Y when the auxiliary variable X is used for ranking the sample units and the study variable Y is measured for estimating the correlation coefficient. This paper first gives a class of unbiased estimators of p when the mean 0 of the study variable Y is known and obtains an essentially complete subclass of this class. Further, the optimal allocation of the unbiased estimators is found in this subclass and is proved to be Bayes, admissible, and minimax. Finally, the unbiased estimator of p under the optimal allocation in the case of known θ is reformed for estimating p in the case of unknown θ, and the reformed estimator is shown to be strongly consistent.展开更多
The Box-Cox transformation model has been widely used in applied econometrics, positive accounting, positive finance and statistics. There is a large literature on Box-Cox transformation model with linear structure. H...The Box-Cox transformation model has been widely used in applied econometrics, positive accounting, positive finance and statistics. There is a large literature on Box-Cox transformation model with linear structure. However, there is seldom seen on the discussion for such a model with partially linear structure. Considering the importance of the partially linear model, in this paper, a relatively simple semi-parametric estimation procedure is proposed for the Box-Cox transformation model without presuming the linear functional form and without specifying any parametric form of the disturbance, which largely reduces the risk of model misspecification. We show that the proposed estimator is consistent and asymptotically normally distributed. Its covariance matrix is also in a closed form, which can be easily estimated. Finally, a simulation study is conducted to see the finite sample performance of our estimator.展开更多
基金the Ningbo Natural Science Foundation(No.2006A610016)the Foundation of National EducationMinistry for Returned Overseas Students&Scholars(SRFfor ROCS,SEM.No.2006699).
文摘Metric measurement of digitized shapes is commonly applied in optical measuring systems.In this letter,three shape-related factors defined by the authors are used in the construction of amultiple linear regression model which is utilized to compute the circumference of the convex shapes inmillimeter unit.The model is first built upon the relationship hypothesis and then its adequacy ismathematically validated.The results of applying the developed model to the given number of convexshapes in a finite circumferential length range suggest that,in terms of percent error,the model pre-cision is to satisfaction by being within±4%.The test also shows the model’s robustness against theshape’s orientation anisotropy.
基金The National Science Foundation of China(No.10671030)
文摘η-quantum languages are discussed and some of their properties are derived. Furthermore the q-quantum language is defined. It is shown that L(A1A2)=L(A1)∩L(A2), L(A)=L(A1)∪L(A2). So over the same alphabet the intersection and union of two different q-quantum languages are also q-quantum languages.
文摘Stormwater quality design manuals lack scientifically creditable bases for many novel LID (Low-Impact Development) designs presently proposed to meet stormwater runoff management requirements. Potential stormwater pollutant adsorption and infiltration enhancement capabilities of forest-derived by-products (e.g. woodchips, bio-char) provide an opportunity to combine these readily availability materials into stormwater quality designs. On-site stormwater runoff treatment through determination of the soil-water transport and lead (Pb) retention capacity of two sandy soils from Oregon is considered. Using synthetic stormwater (-120 mg CI/L and -5 mg Pb/L) displacement tests in pairs ofABS (Acrylonitrile butadiene styrene) soil columns (75 mm dia by 0.46 m tall) with upward flow (to minimize air entrapment) saturated hydraulic conductivity, chloride dispersion and Pb retention by plain and amended soils is evaluated. Generally, soil amendment incorporation (woodchips, compost or biochar) as compared to an amendment layer resulted in improved hydraulic conductivities as compared to that of the soil alone. Chloride breakthrough curves verified that resident soil-water displacement occurred with 0.9 to 1.6 pore volumes and residence times for most columns were 15-30 minutes. No synthetic stormwater Pb "breakthrough" within the displaced or replaced soil-water was found, rather most Pb was adsorbed within the first 150 mm of soil.
文摘The study was conducted to ascertain the views on piracy among marine engineering students and marine officers who had encountered piracy on international waters thereby suggesting threats to international peace. The respondents of the study were 50, specifically distributed to thirty (30) onboard marine engineering students enrolled for the current school year 2014-2015 and twenty (20) marine officers who had experienced piracy at Somalia and other places. The researchers employed quantitative-qualitative research method design. The questionnaire on "Piracy at Sea" was validated by experts in research, statistics, qualitative research, and maritime international conventions. To test the reliability, this same instrument was pilot-tested among marine officers and students who had been on board international ships. Qualitative data were captured through interviews by using open-ended questions. Frequency count, percentage, and rank were used in this study for descriptive-quantitative statistics. The data were analyzed using appropriate statistics through computer-processed software (SPSS). Qualitative analysis was employed to determine the views of the respondents on piracy so that mitigation measures were elicited for protection of life at sea leading towards international peace among identified HRAs (high-risk areas). Results revealed that seafarers were familiar of piracy. They were aware that piracy usually happens in areas like Somalia water sand other threatening territories. To combat piracy, the participants have pointed out the role of the international community in their concerted effort to help seafarers safeguard their lives specifically during these hard times. Somalia also needs to effectively check their organization by whether or not strict implementation of the Anti Piracy Law was being observed. Full knowledge of piracy, techniques for avoiding it, and surviving pirate attacks are necessary among seafarers. Satellite system called shiplock allows shipping companies to monitor location of ships particularly useful during pirate attacks, hijacks, or ship theft. They also install non-lethal electrical fences around a ship's perimeter to protect them during these times. IMO regulations require ships to send distress signals and warnings covertly in case of pirate attacks.
文摘Teaching goal design is an important link of teaching design, which has the teaching, learning and measurement function. How to establish the appropriate teaching goal and properly state to enhance its guidance and detection function are the important tasks of teaching design. This paper makes a programming and systematic analysis on the aspects of teaching goal design theory, teaching goal statement mode and technology, teaching goal statement and design and teaching goal design detection.
基金supported by the National Key Basic Research Project of China(No.2004CB318000)One Hundred Talent Project of the Chinese Academy of Sciences,the NSF of China(No.60225002,No.60533060)Doctorial Program of MOE of China and the 111 Project(No.B07033).
文摘Surface reconstruction from unorganized data points is a challenging problem in Computer Aided Design and Geometric Modeling. In this paper, we extend the mathematical model proposed by Juttler and Felis (Adv. Comput. Math., 17 (2002), pp. 135-152) based on tensor product algebraic spline surfaces from fixed meshes to adaptive meshes. We start with a tensor product algebraic B-spline surface defined on an initial mesh to fit the given data based on an optimization approach. By measuring the fitting errors over each cell of the mesh, we recursively insert new knots in cells over which the errors are larger than some given threshold, and construct a new algebraic spline surface to better fit the given data locally. The algorithm terminates when the error over each cell is less than the threshold. We provide some examples to demonstrate our algorithm and compare it with Juttler's method. Examples suggest that our method is effective and is able to produce reconstruction surfaces of high quality.
文摘The basic inference function of mathematical statistics, the score function, is a vector function. The author has introduced the scalar score, a scalar inference function, which reflects main features of a continuous probability distribution and which is simple. Its simplicity makes it possible to introduce new relevant numerical characteristics of continuous distributions. The t-mean and score variance are descriptions of distributions without the drawbacks of the mean and variance, which may not exist even in cases of regular distributions. Their sample counterparts appear to be alternative descriptions of the observed data. The scalar score itself appears to be a new mathematical tool, which could be used in solving traditional statistical problems for models far from the normal one, skewed and heavy-tailed.
文摘There are two fundamental goals in statistical learning: identifying relevant predictors and ensuring high prediction accuracy. The first goal, by means of variable selection, is of particular importance when the true underlying model has a sparse representation. Discovering relevant predictors can enhance the performance of the prediction for the fitted model. Usually an estimate is considered desirable if it is consistent in terms of both coefficient estimate and variable selection. Hence, before we try to estimate the regression coefficients β , it is preferable that we have a set of useful predictors m hand. The emphasis of our task in this paper is to propose a method, in the aim of identifying relevant predictors to ensure screening consistency in variable selection. The primary interest is on Orthogonal Matching Pursuit(OMP).
文摘This paper aims to examine and analyse the level of intra-industry trade on economy of ASEAN. These data obtained from the accurate and reliable source of ASEAN Trade Statistics databases. The importance of intra-industry and measurement is also described. Moreover, the linkage of intra-industry trade and investment liberalization under the ASEAN Economic Community (AEC) is also explained. The effective enhancement schemed to increase the competitiveness of specific industries had been proposed to enhance ASEAN to be efficient production hub and network of region that lead to the ultimate goal of single market. The further studies can be applied to construct and estimate the econometric model and forecasting technique to confirm the empirical results.
基金supported by the National Basic Research Program of China("973"Project)(Grant No.2009CB724104)
文摘With the rapid development of the computational fluid dynamics(CFD),a parameter-free upwind scheme capable of simulating all speeds accurately and efficiently is in high demand.To achieve this goal,we present a new upwind scheme called AUSMPWM in this paper.This scheme computes the numerical mass flux as the AUSMPW+and computes the interfacial sound speed in a different way.Also,it computes the pressure flux by limiting the dissipation if the Mach number is less than 1.Series of numerical experiments show that AUSMPWM can satisfy the following attractive properties independent of any tuning coefficient:(1)Robustness against the shock anomaly and high discontinuity’s resolution;(2)high accuracy on hypersonic heating prediction and capability to give smooth reproductions of heating profiles;(3)low dissipation at low speeds;and(4)strong grid,reconstruction scheme,and Mach number independence in low speeds’simulations.These properties suggest that AUSMPWM is promising to be widely used to accurately and efficiently simulate flows of all speeds.
基金supported by the National Natural Science Foundation of China(Grants Nos. 10972113,10732080)the National Basic Research Program of China(Grant Nos. 2007CB936803,2010CB631005)SRFDP(Grant No. 20070003053)
文摘A temporal approach to fast shape measurement is presented.In principle,the rotational object method is used in combination with the sequence pulse counting method (SPCM) to determine the height of the object through calculating the related phase.Two specimens are tested to demonstrate the validity of the approach.One is an object covered by a Chinese character (tea) with a height variety of 0.3 mm,and the other is an object surface with a relatively large fluctuation of 3.5 mm.The experimental results are compared with mechanical measurements.An axis shifting method is also proposed to determine shapes with relatively large fluctuations.Effects of such parameters on the height measurement as incident angle of the dual light beams,tilting angle of the object,and azimuth angle of the measured point are discussed as well.
基金supported by the National Natural Science Foundation of China (No. 11071022)the Key Project of the Ministry of Education of China (No. 209078)the Youth Project of Hubei Provincial Department of Education of China (No. Q20122202)
文摘Consider the following heteroscedastic semiparametric regression model:where {Xi, 1 〈 i 〈 n} are random design points, errors {ei, 1 〈 i 〈 n} are negatively associated (NA) random variables, (r2 = h(ui), and {ui} and {ti} are two nonrandom sequences on [0, 1]. Some wavelet estimators of the parametric component β, the non- parametric component g(t) and the variance function h(u) are given. Under some general conditions, the strong convergence rate of these wavelet estimators is O(n- 1 log n). Hence our results are extensions of those re, sults on independent random error settings.
基金supported by the National Natural Science Foundation of China under Grant Nos.10571070 and 11001097
文摘Ranked set sample is applicable whenever ranking of a set of sample units can be done easily by a judgement method of the study variable or of the auxiliary variable. This paper considers ranked set sample based on the auxiliary variable X which is correlated with the study variable Y, where (X, Y) follows Morgenstern type bivariate exponential distribution. The authors discuss the optional allocation for unbiased estimators of the correlation coefficient p of the random variables X and Y when the auxiliary variable X is used for ranking the sample units and the study variable Y is measured for estimating the correlation coefficient. This paper first gives a class of unbiased estimators of p when the mean 0 of the study variable Y is known and obtains an essentially complete subclass of this class. Further, the optimal allocation of the unbiased estimators is found in this subclass and is proved to be Bayes, admissible, and minimax. Finally, the unbiased estimator of p under the optimal allocation in the case of known θ is reformed for estimating p in the case of unknown θ, and the reformed estimator is shown to be strongly consistent.
基金funded in part by National Natural Science Foundation of China (Grant No. 71032005)the MOE Project of Key Research Institute of Humanities and Social Science in University (Grant No. 10JJD630005)+3 种基金supported in part by New Century Excellent Talent Supporting program (Grant No. NCET-09-0538)National Natural Science Foundation of China(Grant Nos. 70871073 and 71171127)Shanghai Leading Academic Discipline Project (Grant No. B801)the Key Laboratory of Mathematical Economics (SUFE), Ministry of Education of China
文摘The Box-Cox transformation model has been widely used in applied econometrics, positive accounting, positive finance and statistics. There is a large literature on Box-Cox transformation model with linear structure. However, there is seldom seen on the discussion for such a model with partially linear structure. Considering the importance of the partially linear model, in this paper, a relatively simple semi-parametric estimation procedure is proposed for the Box-Cox transformation model without presuming the linear functional form and without specifying any parametric form of the disturbance, which largely reduces the risk of model misspecification. We show that the proposed estimator is consistent and asymptotically normally distributed. Its covariance matrix is also in a closed form, which can be easily estimated. Finally, a simulation study is conducted to see the finite sample performance of our estimator.