The anthem investigate the hitting probability, polarity and the relationship between the polarity and Hausdorff dimension for self-similar Markov processes with state space (0, infinity) and increasing path.
Let X^(H)={X^(H)(s),s∈R^(N_(1))}and X^(K)={X^(K)(t),t∈R^(N_(2))}be two independent time-space anisotropic random fields with indices H∈(0,1)^(N_(1)) and K∈(0,1)^(N_(2)),which may not possess Gaussianity,and which ...Let X^(H)={X^(H)(s),s∈R^(N_(1))}and X^(K)={X^(K)(t),t∈R^(N_(2))}be two independent time-space anisotropic random fields with indices H∈(0,1)^(N_(1)) and K∈(0,1)^(N_(2)),which may not possess Gaussianity,and which take values in R^(d) with a space metric τ.Under certain general conditions with density functions defined on a bounded interval,we study problems regarding the hitting probabilities of time-space anisotropic random fields and the existence of intersections of the sample paths of random fields X^(H) and X^(K).More generally,for any Borel set F⊂R^(d),the conditions required for F to contain intersection points of X^(H) and X^(K) are established.As an application,we give an example of an anisotropic non-Gaussian random field to show that these results are applicable to the solutions of non-linear systems of stochastic fractional heat equations.展开更多
In this paper the hit force of firing bullet on bulletproof helmet has been computed and the test device has been described. The device is divided into two parts: 1) The bullet, helmet and mould are in one system, u...In this paper the hit force of firing bullet on bulletproof helmet has been computed and the test device has been described. The device is divided into two parts: 1) The bullet, helmet and mould are in one system, using moment theorem to calculate the hit force; 2) The mould, sensor and support pole are in one system, using the method in reference [1] that measures the dynamic strain and displacement of simulate target of bulletproof clothes. We compute the transfigure energy and momentum energy when hitting the mould, the work done by the sensor and the expend energy of support pole. We get the hit force of helmet using energy balance principle. The result is according with the test and has been used to design the GGK93T bulletproof helmet and other serial products.展开更多
In this article,we study the hitting probabilities of weighted Poisson processes and their subordinated versions with different intensities.Furthermore,we simulate and analyze the asymptotic properties of the hitting ...In this article,we study the hitting probabilities of weighted Poisson processes and their subordinated versions with different intensities.Furthermore,we simulate and analyze the asymptotic properties of the hitting probabilities in different weights and give an example in the case of subordination.展开更多
Plyometrics training,can improve the club speed,ball speed and the hitting distance in swinging and hitting.According to the experimental method,15 professional golfers were randomly selected as the reference object,a...Plyometrics training,can improve the club speed,ball speed and the hitting distance in swinging and hitting.According to the experimental method,15 professional golfers were randomly selected as the reference object,and 24 golfers joined the 8 weeks of plyometrics training.The conclusion was that after 8 weeks of plyometrics training,the experimental group had an increase of the club speed,ball speed and smash factor more obviously than that of the control group.Affected by training years,there is still a gap between the two and professional players.With the increase of club speed and ball speed,both groups have a certain increase in the carry length and total length.Compared to the control group,the experimental group has further hitting distance,but there are still significant differences between them affected by training years.It is suggested that during the teaching and training of golf techniques,practice of the stability of the lower limbs and the instability of the upper limbs should be increased,to improve the hitting distance.展开更多
This paper introduces drift analysis approach in studying the convergence and hitting times of evolutionary algorithms. First the methodology of drift analysis is introduced, which links evolutionary algorithms with M...This paper introduces drift analysis approach in studying the convergence and hitting times of evolutionary algorithms. First the methodology of drift analysis is introduced, which links evolutionary algorithms with Markov chains or supermartingales. Then the drift conditions which guarantee the convergence of evolutionary algorithms are described. And next the drift conditions which are used to estimate the hitting times of evolutionary algorithms are presented. Finally an example is given to show how to analyse hitting times of EAs by drift analysis approach.展开更多
Let h(t) be a smooth function, Bt a standard Brownian motion and th=inf{t;Bt=h(t)} the first hitting time. In this paper, new formulations are derived to evaluate the probability density of the first hitting time. If ...Let h(t) be a smooth function, Bt a standard Brownian motion and th=inf{t;Bt=h(t)} the first hitting time. In this paper, new formulations are derived to evaluate the probability density of the first hitting time. If u(x, t) denotes the density function of x=Bt for t th, then uxx=2ut and u(h(t),t)=0. Moreover, the hitting time density dh(t) is 1/2ux(h(t),t). Applying some partial differential equation techniques, we derive a simple integral equation for dh(t). Two examples are demonstrated in this article.展开更多
Chinese Premier Li Keqiang paid an official visit to Croatia in April, and attended the eighth leaders’ meeting of China and Central and Eastern European Countries in the Croatian seaside city Dubrovnik. During Li’s...Chinese Premier Li Keqiang paid an official visit to Croatia in April, and attended the eighth leaders’ meeting of China and Central and Eastern European Countries in the Croatian seaside city Dubrovnik. During Li’s visit, the two countries signed a range of cooperation deals in several areas, and the Year of Tourism between China and Croatia was also inaugurated. Accompanied by Croatian Prime Minister Andrej Plenkovic, Li also inspected the project of the Peljesac Bridge, the largest-ever infrastructure cooperation project between the two countries. Under the framework of the Belt and Road Imitative, the two countries are hitting the fast lane of cooperation.展开更多
According to EY 4th issue of its China outbound investment report'China Go Abroad—Key connectivity improvements along the Belt and Road in telecommunications&aviation sectors',and expects China’s outward...According to EY 4th issue of its China outbound investment report'China Go Abroad—Key connectivity improvements along the Belt and Road in telecommunications&aviation sectors',and expects China’s outward FDI in 2016 is likely to exceed 170 billion US dollars for the whole year and reach another historical record high.In the coming years,the tide of China’s overseas investment should continue to rise and maintain a double-digit growth rate.展开更多
Zimbabwean legend Oliver Mtukudzi proves the uniting power of music inChina＂I＇VE been listening to Oliver Mtukudzi all my life.He is one of the people we look at as an icon because he has been consistent in[his]musi...Zimbabwean legend Oliver Mtukudzi proves the uniting power of music inChina＂I＇VE been listening to Oliver Mtukudzi all my life.He is one of the people we look at as an icon because he has been consistent in[his]music.So to me,meeting him is like a lifetime achievement.I am going to tell my kids about this,＂said a starry-eyed,breathless Blessing Neganje.The 29-year-old Zimbabwean was among those who had flocked to the A.C. Embassy Hotel to attend the first China concert of their famous compatriot. The Zimbabwean musician and philan- thropist came with his group, The Black Spirits, and his wife Daisy.展开更多
The story of iron and steel production in China is one of constant and spectacular rise,but no one seemns to know yet if the story will hawe a happy ending.
In this paper, the authors compute the explicit formulas for the joint distributions of thehitting time and place for a sphere or concentric spherical shell by Brownian motion, when theprocess starts either outside th...In this paper, the authors compute the explicit formulas for the joint distributions of thehitting time and place for a sphere or concentric spherical shell by Brownian motion, when theprocess starts either outside the sphere or the region bounded by concentric spheres.展开更多
We present an explicit and recursive representation for high order moments of the first hitting times of single death processes.Based on that,some necessary or sufficient conditions of exponential ergodicity as well a...We present an explicit and recursive representation for high order moments of the first hitting times of single death processes.Based on that,some necessary or sufficient conditions of exponential ergodicity as well as a criterion on■-ergodicity are obtained for single death processes,respectively.展开更多
For a birth and death processX=|X(t),t <σ| with explosion and lifespanu distributions and joint distributions of first hitting time and first hitting location after explosion of setB n = |0,1,...,n| ,n have been f...For a birth and death processX=|X(t),t <σ| with explosion and lifespanu distributions and joint distributions of first hitting time and first hitting location after explosion of setB n = |0,1,...,n| ,n have been found.展开更多
An explicit and recursive representation is presented for moments of the first hitting times of birth-death processes on trees. Based on that, the criteria on ergodicity, strong ergodicity, and l-ergodicity of the pro...An explicit and recursive representation is presented for moments of the first hitting times of birth-death processes on trees. Based on that, the criteria on ergodicity, strong ergodicity, and l-ergodicity of the processes as well as a necessary condition for exponential ergodicity are obtained.展开更多
基金the National Natural Science Foundation of China and the StateEducation of Commission Ph.D. Station Foundation
文摘The anthem investigate the hitting probability, polarity and the relationship between the polarity and Hausdorff dimension for self-similar Markov processes with state space (0, infinity) and increasing path.
基金supported by National NaturalScience Foundation of China(11971432)Natural Science Foundation of Zhejiang Province(LY21G010003)+1 种基金First Class Discipline of Zhejiang-A(Zhejiang Gongshang University-Statistics)the Natural Science Foundation of Chuzhou University(zrjz2019012)。
文摘Let X^(H)={X^(H)(s),s∈R^(N_(1))}and X^(K)={X^(K)(t),t∈R^(N_(2))}be two independent time-space anisotropic random fields with indices H∈(0,1)^(N_(1)) and K∈(0,1)^(N_(2)),which may not possess Gaussianity,and which take values in R^(d) with a space metric τ.Under certain general conditions with density functions defined on a bounded interval,we study problems regarding the hitting probabilities of time-space anisotropic random fields and the existence of intersections of the sample paths of random fields X^(H) and X^(K).More generally,for any Borel set F⊂R^(d),the conditions required for F to contain intersection points of X^(H) and X^(K) are established.As an application,we give an example of an anisotropic non-Gaussian random field to show that these results are applicable to the solutions of non-linear systems of stochastic fractional heat equations.
文摘In this paper the hit force of firing bullet on bulletproof helmet has been computed and the test device has been described. The device is divided into two parts: 1) The bullet, helmet and mould are in one system, using moment theorem to calculate the hit force; 2) The mould, sensor and support pole are in one system, using the method in reference [1] that measures the dynamic strain and displacement of simulate target of bulletproof clothes. We compute the transfigure energy and momentum energy when hitting the mould, the work done by the sensor and the expend energy of support pole. We get the hit force of helmet using energy balance principle. The result is according with the test and has been used to design the GGK93T bulletproof helmet and other serial products.
基金supported by the National Natural Science Foundation of China(11571262,11731012 and 11971361)。
文摘In this article,we study the hitting probabilities of weighted Poisson processes and their subordinated versions with different intensities.Furthermore,we simulate and analyze the asymptotic properties of the hitting probabilities in different weights and give an example in the case of subordination.
文摘Plyometrics training,can improve the club speed,ball speed and the hitting distance in swinging and hitting.According to the experimental method,15 professional golfers were randomly selected as the reference object,and 24 golfers joined the 8 weeks of plyometrics training.The conclusion was that after 8 weeks of plyometrics training,the experimental group had an increase of the club speed,ball speed and smash factor more obviously than that of the control group.Affected by training years,there is still a gap between the two and professional players.With the increase of club speed and ball speed,both groups have a certain increase in the carry length and total length.Compared to the control group,the experimental group has further hitting distance,but there are still significant differences between them affected by training years.It is suggested that during the teaching and training of golf techniques,practice of the stability of the lower limbs and the instability of the upper limbs should be increased,to improve the hitting distance.
基金Supported by Engineering and Physical Science Research Courcil(GR/R52541/01)and State Laboratory of Software Engineering at Wuhan University
文摘This paper introduces drift analysis approach in studying the convergence and hitting times of evolutionary algorithms. First the methodology of drift analysis is introduced, which links evolutionary algorithms with Markov chains or supermartingales. Then the drift conditions which guarantee the convergence of evolutionary algorithms are described. And next the drift conditions which are used to estimate the hitting times of evolutionary algorithms are presented. Finally an example is given to show how to analyse hitting times of EAs by drift analysis approach.
文摘Let h(t) be a smooth function, Bt a standard Brownian motion and th=inf{t;Bt=h(t)} the first hitting time. In this paper, new formulations are derived to evaluate the probability density of the first hitting time. If u(x, t) denotes the density function of x=Bt for t th, then uxx=2ut and u(h(t),t)=0. Moreover, the hitting time density dh(t) is 1/2ux(h(t),t). Applying some partial differential equation techniques, we derive a simple integral equation for dh(t). Two examples are demonstrated in this article.
文摘Chinese Premier Li Keqiang paid an official visit to Croatia in April, and attended the eighth leaders’ meeting of China and Central and Eastern European Countries in the Croatian seaside city Dubrovnik. During Li’s visit, the two countries signed a range of cooperation deals in several areas, and the Year of Tourism between China and Croatia was also inaugurated. Accompanied by Croatian Prime Minister Andrej Plenkovic, Li also inspected the project of the Peljesac Bridge, the largest-ever infrastructure cooperation project between the two countries. Under the framework of the Belt and Road Imitative, the two countries are hitting the fast lane of cooperation.
文摘According to EY 4th issue of its China outbound investment report'China Go Abroad—Key connectivity improvements along the Belt and Road in telecommunications&aviation sectors',and expects China’s outward FDI in 2016 is likely to exceed 170 billion US dollars for the whole year and reach another historical record high.In the coming years,the tide of China’s overseas investment should continue to rise and maintain a double-digit growth rate.
文摘Zimbabwean legend Oliver Mtukudzi proves the uniting power of music inChina＂I＇VE been listening to Oliver Mtukudzi all my life.He is one of the people we look at as an icon because he has been consistent in[his]music.So to me,meeting him is like a lifetime achievement.I am going to tell my kids about this,＂said a starry-eyed,breathless Blessing Neganje.The 29-year-old Zimbabwean was among those who had flocked to the A.C. Embassy Hotel to attend the first China concert of their famous compatriot. The Zimbabwean musician and philan- thropist came with his group, The Black Spirits, and his wife Daisy.
文摘The story of iron and steel production in China is one of constant and spectacular rise,but no one seemns to know yet if the story will hawe a happy ending.
文摘In this paper, the authors compute the explicit formulas for the joint distributions of thehitting time and place for a sphere or concentric spherical shell by Brownian motion, when theprocess starts either outside the sphere or the region bounded by concentric spheres.
基金The authors thank the anonymous referees for their very valuable suggestions and careful reading of the draft,which greatly improved the quality of the paperThis work was supported by the National Natural Science Foundation of China(Grant Nos.11571043,11771047,11871008).
文摘We present an explicit and recursive representation for high order moments of the first hitting times of single death processes.Based on that,some necessary or sufficient conditions of exponential ergodicity as well as a criterion on■-ergodicity are obtained for single death processes,respectively.
文摘For a birth and death processX=|X(t),t <σ| with explosion and lifespanu distributions and joint distributions of first hitting time and first hitting location after explosion of setB n = |0,1,...,n| ,n have been found.
基金The author acknowledges the constructive discussion with Professors Mu-Fa Chen, Yong-Hua Mao, and Yutao Ma, and thanks the anonymous referees for their very valuable suggestions and careful reading of the draft, which greatly improved the quality of the paper. This work was supported by the National Natural Science Foundation of China (Grant Nos. 11571043, 11771047, 11871008).
文摘An explicit and recursive representation is presented for moments of the first hitting times of birth-death processes on trees. Based on that, the criteria on ergodicity, strong ergodicity, and l-ergodicity of the processes as well as a necessary condition for exponential ergodicity are obtained.
