In this article, we investigate a class of stochastic neutral partial functional differ- ential equations. By establishing new integral inequalities, the attracting and quasi-invariant sets of stochastic neutral parti...In this article, we investigate a class of stochastic neutral partial functional differ- ential equations. By establishing new integral inequalities, the attracting and quasi-invariant sets of stochastic neutral partial functional differential equations are obtained. The results in [15, 16] are generalized and improved.展开更多
An intuitive method for circle fitting is proposed. Assuming an approximate circle(CA,n) for the fitting of some scattered points, it can be imagined that every point would apply a force to CA,n, which all together fo...An intuitive method for circle fitting is proposed. Assuming an approximate circle(CA,n) for the fitting of some scattered points, it can be imagined that every point would apply a force to CA,n, which all together form an overall effect that "draws" CA,n towards best fitting to the group of points. The basic element of the force is called circular attracting factor(CAF) which is defined as a real scalar in a radial direction of CA,n. An iterative algorithm based on this idea is proposed, and the convergence and accuracy are analyzed. The algorithm converges uniformly which is proved by the analysis of Lyapunov function, and the accuracy of the algorithm is in accord with that of geometric least squares of circle fitting. The algorithm is adopted to circle detection in grayscale images, in which the transferring to binary images is not required, and thus the algorithm is less sensitive to lightening and background noise. The main point for the adaption is the calculation of CAF which is extended in radial directions of CA,n for the whole image. All pixels would apply forces to CA,n, and the overall effect of forces would be equivalent to a force from the centroid of pixels to CA,n. The forces from would-be edge pixels would overweigh that from noisy pixels, so the following approximate circle would be of better fitting. To reduce the amount of calculation, pixels are only used in an annular area including the boundary of CA,n just in between for the calculation of CAF. Examples are given, showing the process of circle fitting of scattered points around a circle from an initial assuming circle, comparing the fitting results for scattered points from some related literature, applying the method proposed for circular edge detection in grayscale images with noise, and/or with only partial arc of a circle, and for circle detection in BGA inspection.展开更多
The 13th China International Diecasting Congress ＆ Exhibition（CHINA DIECASTING 2018） and 2018 China NonferrousAlloys ＆ Special Casting Exhibition （CHINA NONFERROUS2018） were held concurrently July 18-20 at Shang...The 13th China International Diecasting Congress ＆ Exhibition（CHINA DIECASTING 2018） and 2018 China NonferrousAlloys ＆ Special Casting Exhibition （CHINA NONFERROUS2018） were held concurrently July 18-20 at Shanghai NewInternational Expo Centre. The events were co-organized bythe Foundry Institution of Chinese Mechanical EngineeringSociety （FICMES）, Shenyang Zhongzhu Foundry ProductivityPromotion Center Co., Ltd. （FPC） and the State Key Laboratoryof Light Alloys Casting Technologies for High-end Equipment.展开更多
We study a generalized Cauchy problem associated with a class of impulsive fractional differential inclusions of Sobolev type in Banach spaces. Our aim is to prove the existence of a compact set of globally attracting...We study a generalized Cauchy problem associated with a class of impulsive fractional differential inclusions of Sobolev type in Banach spaces. Our aim is to prove the existence of a compact set of globally attracting solutions to the problem in question. An application to fractional partial differential equations subject to impulsive effects is given to illustrate our results.展开更多
Attracting foreign capital is a key pillar of China’s reform and opening up policy,and foreign-funded enterprises are an important component of China’s economy.Currently,China is taking steps to further boost its at...Attracting foreign capital is a key pillar of China’s reform and opening up policy,and foreign-funded enterprises are an important component of China’s economy.Currently,China is taking steps to further boost its attractiveness as a foreign direct investment(FDI)destination in order to seek more foreign capital.展开更多
Beijing’s commercial landscape just got a vibrant addition.On January 20,the city’s Daxing District announced that Egyptian company Aegilon had established a business,Aegilon(Beijing),in the district with a register...Beijing’s commercial landscape just got a vibrant addition.On January 20,the city’s Daxing District announced that Egyptian company Aegilon had established a business,Aegilon(Beijing),in the district with a registered capital of $2.1 million.展开更多
The discovery of the chaos extends our knowledge about the steady state motion, i. e. except for the unbounded solution and the three bounded solutions (equilibrium, periodic and quasiperiodic), a new bounded solutio...The discovery of the chaos extends our knowledge about the steady state motion, i. e. except for the unbounded solution and the three bounded solutions (equilibrium, periodic and quasiperiodic), a new bounded solution——chaotic solution is added. It is remarkable that two or more steady state attractors may coexist in many cases and have their own attracting basins with non-zero Lebesgue measure in the展开更多
The piecewise linear H?non map (x,y)→(1-a|x|+by,x) was treated by Lozi, T?l et al. We analyze the structure of its attracting set for a=8/5 and b=9/25 using the notations of symbolic dynamics.
Let D be a dendrite and f be a continuous map on D.Denote by R(f),Ω(f)andω(x,f)the set of recurrent points,the set of non-wandering points and the set ofω-limit points of x under f,respectively.WriteΩ_(k+1)(f)=Ω(...Let D be a dendrite and f be a continuous map on D.Denote by R(f),Ω(f)andω(x,f)the set of recurrent points,the set of non-wandering points and the set ofω-limit points of x under f,respectively.WriteΩ_(k+1)(f)=Ω(f|_(()Ω_(k)(f)))andω^(k+1)(f)=∪_(()x∈ω~k(f))ω(x,f)for any positive integer k,whereΩ_(1)(f)=Ω(f)andω(f)=∪_(x∈D)ω(x,f).ω~m(f)is called the attracting centre of f ifω^(m+1)(f)=ω~m(f).In this paper,we show that if the rank of D is n-1,then we have the following results:(1)ω^(n+2)(f)=ω^(n+1)(f)and the attracting centre of f isω^(n+1)(f);(2)Ω_(n+2)(f)=■and the depth of f is at most n+2.Further,if the set of(n-1)-order accumulation points of Br(D)(the set of branch points of D)is a singleton,thenΩ_(n+1)(f)=■and the depth of f is at most n+1.Besides,we show that there exist a dendrite D_(1)whose rank is n-1 and the set of(n-1)-order accumulation points of Br(D_(1))is a singleton,and a continuous map g on D_(1)such thatω^(n+1)(g)≠ω~n(g)andΩn(f)≠■.展开更多
The paper is devoted to the analysis of certain dynamical properties of a family of iterative Newton type methods used to find roots of non-linear equations. We present a procedure for constructing polynomials in such...The paper is devoted to the analysis of certain dynamical properties of a family of iterative Newton type methods used to find roots of non-linear equations. We present a procedure for constructing polynomials in such a way that superattracting cycles of any prescribed length occur when these iterative methods are applied. This paper completes the study begun in Amat, Bermúclez, Busquier, et al., (2009).展开更多
By means of the Banach fixed point principle,we establish some sufficient conditions ensuring the existence of the global attracting sets and the exponential decay in the mean square of mild solutions for a class of n...By means of the Banach fixed point principle,we establish some sufficient conditions ensuring the existence of the global attracting sets and the exponential decay in the mean square of mild solutions for a class of neutral stochastic functional differential equations by Poisson jumps.An example is presented to illustrate the effectiveness of the obtained result.展开更多
Salzburg is a beautiful city in Austria.It has old buildings,pretty streets and big mountains all around.The scenery is amazing!The famous movie The Sound of Music was filmed there.Many people visit Salzburg to see th...Salzburg is a beautiful city in Austria.It has old buildings,pretty streets and big mountains all around.The scenery is amazing!The famous movie The Sound of Music was filmed there.Many people visit Salzburg to see the locations from the movie.Some even do interviews there to ask people their feelings about the movie.One famous location from the movie is the Mirabell Gardens.The actors sang the song"Do-Re-Mi"there.The gardens have colorful flowers,statues and fountains.Salzburg is a fun and exciting place to visit and explore.展开更多
What is special about the sky bridge near Qingjing Farm?Qingjing Farm in Nantou is a popular place to visit.Every year,it has a Sheep Run Festival!Thousands of visitors go each year to cheer on their favorite sheep an...What is special about the sky bridge near Qingjing Farm?Qingjing Farm in Nantou is a popular place to visit.Every year,it has a Sheep Run Festival!Thousands of visitors go each year to cheer on their favorite sheep and take pictures as they run down the mountain roads.People can enjoy many performances,games and activities during the festival,too.展开更多
We are concerned with a class of neutral stochastic partial differential equations driven by Rosenblatt process in a Hilbert space. By combining some stochastic analysis techniques, tools from semigroup theory, and st...We are concerned with a class of neutral stochastic partial differential equations driven by Rosenblatt process in a Hilbert space. By combining some stochastic analysis techniques, tools from semigroup theory, and stochastic integral inequalities, we identify the global attracting sets of this kind of equations. Especially, some sufficient conditions ensuring the exponent p-stability of mild solutions to the stochastic systems under investigation are obtained. Last, an example is given to illustrate the theory in the work.展开更多
Let X be a tree and f be a continuous map from X into itself. Denote by г*the union of the set of one-side γ-limit points and the set of periodic points of f. We show in this paper that the attracting centre of f is...Let X be a tree and f be a continuous map from X into itself. Denote by г*the union of the set of one-side γ-limit points and the set of periodic points of f. We show in this paper that the attracting centre of f is г*.展开更多
Among Chinese men who wear suits and shirts, few are unfamiliar with Youngor, one of the most famous garment brands in China. When it was founded in 1979, the Youngor Group, based in Ningbo, Zhejiang Province, was jus...Among Chinese men who wear suits and shirts, few are unfamiliar with Youngor, one of the most famous garment brands in China. When it was founded in 1979, the Youngor Group, based in Ningbo, Zhejiang Province, was just a private factory with a few hundred workers. Now it has grown into a leading company in China's garment industry, with more than 20,000 employees and net assets of over 5 billion yuan. It ranks 144th among China's top 500 enterprises. Zhong Leiming, Chief Supervisor of the group, and Yu Cheng, Manager of the Publicity Department, discussed the company's operating strategy in a recent interview with Beijing Review.展开更多
In Valletta,capital city of Malta,a group of ladies wearing colorful Chinese costumes,known as hanfu,walked nicely along its old street on Saturday afternoon,attracting both the Maltese people and tourists from around...In Valletta,capital city of Malta,a group of ladies wearing colorful Chinese costumes,known as hanfu,walked nicely along its old street on Saturday afternoon,attracting both the Maltese people and tourists from around the world.A fascinating hanfu show organized by the China Cultural Center in Malta was performed by 23 ladies from China,Malta and Italy.展开更多
基金supported by National Natural Science Foundation of China (11271270 and 11201320)
文摘In this article, we investigate a class of stochastic neutral partial functional differ- ential equations. By establishing new integral inequalities, the attracting and quasi-invariant sets of stochastic neutral partial functional differential equations are obtained. The results in [15, 16] are generalized and improved.
基金Project(2013CB035504) supported by the National Basic Research Program of ChinaProject(2012zzts078) supported by the Fundamental Research Funds for the Central Universities of Central South University,ChinaProject(2009ZX02038) supported by the National Science and Technology Major Project of the Ministry of Science and Technology of China
文摘An intuitive method for circle fitting is proposed. Assuming an approximate circle(CA,n) for the fitting of some scattered points, it can be imagined that every point would apply a force to CA,n, which all together form an overall effect that "draws" CA,n towards best fitting to the group of points. The basic element of the force is called circular attracting factor(CAF) which is defined as a real scalar in a radial direction of CA,n. An iterative algorithm based on this idea is proposed, and the convergence and accuracy are analyzed. The algorithm converges uniformly which is proved by the analysis of Lyapunov function, and the accuracy of the algorithm is in accord with that of geometric least squares of circle fitting. The algorithm is adopted to circle detection in grayscale images, in which the transferring to binary images is not required, and thus the algorithm is less sensitive to lightening and background noise. The main point for the adaption is the calculation of CAF which is extended in radial directions of CA,n for the whole image. All pixels would apply forces to CA,n, and the overall effect of forces would be equivalent to a force from the centroid of pixels to CA,n. The forces from would-be edge pixels would overweigh that from noisy pixels, so the following approximate circle would be of better fitting. To reduce the amount of calculation, pixels are only used in an annular area including the boundary of CA,n just in between for the calculation of CAF. Examples are given, showing the process of circle fitting of scattered points around a circle from an initial assuming circle, comparing the fitting results for scattered points from some related literature, applying the method proposed for circular edge detection in grayscale images with noise, and/or with only partial arc of a circle, and for circle detection in BGA inspection.
文摘The 13th China International Diecasting Congress ＆ Exhibition（CHINA DIECASTING 2018） and 2018 China NonferrousAlloys ＆ Special Casting Exhibition （CHINA NONFERROUS2018） were held concurrently July 18-20 at Shanghai NewInternational Expo Centre. The events were co-organized bythe Foundry Institution of Chinese Mechanical EngineeringSociety （FICMES）, Shenyang Zhongzhu Foundry ProductivityPromotion Center Co., Ltd. （FPC） and the State Key Laboratoryof Light Alloys Casting Technologies for High-end Equipment.
基金supported by Vietnam National Foundation for Science and Technology Development(NAFOSTED)under grant number 101.02-2015.18
文摘We study a generalized Cauchy problem associated with a class of impulsive fractional differential inclusions of Sobolev type in Banach spaces. Our aim is to prove the existence of a compact set of globally attracting solutions to the problem in question. An application to fractional partial differential equations subject to impulsive effects is given to illustrate our results.
文摘Attracting foreign capital is a key pillar of China’s reform and opening up policy,and foreign-funded enterprises are an important component of China’s economy.Currently,China is taking steps to further boost its attractiveness as a foreign direct investment(FDI)destination in order to seek more foreign capital.
文摘Beijing’s commercial landscape just got a vibrant addition.On January 20,the city’s Daxing District announced that Egyptian company Aegilon had established a business,Aegilon(Beijing),in the district with a registered capital of $2.1 million.
基金Project partially supported by the National Natural Science Foundation of China
文摘The discovery of the chaos extends our knowledge about the steady state motion, i. e. except for the unbounded solution and the three bounded solutions (equilibrium, periodic and quasiperiodic), a new bounded solution——chaotic solution is added. It is remarkable that two or more steady state attractors may coexist in many cases and have their own attracting basins with non-zero Lebesgue measure in the
文摘The piecewise linear H?non map (x,y)→(1-a|x|+by,x) was treated by Lozi, T?l et al. We analyze the structure of its attracting set for a=8/5 and b=9/25 using the notations of symbolic dynamics.
基金Supported NSF of Guangxi(Grant Nos.2022GXNSFAA035552,2020GXNSFAA297010)PYMRBAP for Guangxi CU(Grant No.2021KY0651)。
文摘Let D be a dendrite and f be a continuous map on D.Denote by R(f),Ω(f)andω(x,f)the set of recurrent points,the set of non-wandering points and the set ofω-limit points of x under f,respectively.WriteΩ_(k+1)(f)=Ω(f|_(()Ω_(k)(f)))andω^(k+1)(f)=∪_(()x∈ω~k(f))ω(x,f)for any positive integer k,whereΩ_(1)(f)=Ω(f)andω(f)=∪_(x∈D)ω(x,f).ω~m(f)is called the attracting centre of f ifω^(m+1)(f)=ω~m(f).In this paper,we show that if the rank of D is n-1,then we have the following results:(1)ω^(n+2)(f)=ω^(n+1)(f)and the attracting centre of f isω^(n+1)(f);(2)Ω_(n+2)(f)=■and the depth of f is at most n+2.Further,if the set of(n-1)-order accumulation points of Br(D)(the set of branch points of D)is a singleton,thenΩ_(n+1)(f)=■and the depth of f is at most n+1.Besides,we show that there exist a dendrite D_(1)whose rank is n-1 and the set of(n-1)-order accumulation points of Br(D_(1))is a singleton,and a continuous map g on D_(1)such thatω^(n+1)(g)≠ω~n(g)andΩn(f)≠■.
基金supported in part by Spanish Grants MTM2007-62945Fondecyt Grant 1095025, Chile
文摘The paper is devoted to the analysis of certain dynamical properties of a family of iterative Newton type methods used to find roots of non-linear equations. We present a procedure for constructing polynomials in such a way that superattracting cycles of any prescribed length occur when these iterative methods are applied. This paper completes the study begun in Amat, Bermúclez, Busquier, et al., (2009).
文摘By means of the Banach fixed point principle,we establish some sufficient conditions ensuring the existence of the global attracting sets and the exponential decay in the mean square of mild solutions for a class of neutral stochastic functional differential equations by Poisson jumps.An example is presented to illustrate the effectiveness of the obtained result.
文摘Salzburg is a beautiful city in Austria.It has old buildings,pretty streets and big mountains all around.The scenery is amazing!The famous movie The Sound of Music was filmed there.Many people visit Salzburg to see the locations from the movie.Some even do interviews there to ask people their feelings about the movie.One famous location from the movie is the Mirabell Gardens.The actors sang the song"Do-Re-Mi"there.The gardens have colorful flowers,statues and fountains.Salzburg is a fun and exciting place to visit and explore.
文摘What is special about the sky bridge near Qingjing Farm?Qingjing Farm in Nantou is a popular place to visit.Every year,it has a Sheep Run Festival!Thousands of visitors go each year to cheer on their favorite sheep and take pictures as they run down the mountain roads.People can enjoy many performances,games and activities during the festival,too.
文摘We are concerned with a class of neutral stochastic partial differential equations driven by Rosenblatt process in a Hilbert space. By combining some stochastic analysis techniques, tools from semigroup theory, and stochastic integral inequalities, we identify the global attracting sets of this kind of equations. Especially, some sufficient conditions ensuring the exponent p-stability of mild solutions to the stochastic systems under investigation are obtained. Last, an example is given to illustrate the theory in the work.
文摘Let X be a tree and f be a continuous map from X into itself. Denote by г*the union of the set of one-side γ-limit points and the set of periodic points of f. We show in this paper that the attracting centre of f is г*.
文摘Among Chinese men who wear suits and shirts, few are unfamiliar with Youngor, one of the most famous garment brands in China. When it was founded in 1979, the Youngor Group, based in Ningbo, Zhejiang Province, was just a private factory with a few hundred workers. Now it has grown into a leading company in China's garment industry, with more than 20,000 employees and net assets of over 5 billion yuan. It ranks 144th among China's top 500 enterprises. Zhong Leiming, Chief Supervisor of the group, and Yu Cheng, Manager of the Publicity Department, discussed the company's operating strategy in a recent interview with Beijing Review.
文摘In Valletta,capital city of Malta,a group of ladies wearing colorful Chinese costumes,known as hanfu,walked nicely along its old street on Saturday afternoon,attracting both the Maltese people and tourists from around the world.A fascinating hanfu show organized by the China Cultural Center in Malta was performed by 23 ladies from China,Malta and Italy.
