It is well known that the Cauchy problem for Laplace equations is an ill-posed problem in Hadamard’s sense.Small deviations in Cauchy data may lead to large errors in the solutions.It is observed that if a bound is i...It is well known that the Cauchy problem for Laplace equations is an ill-posed problem in Hadamard’s sense.Small deviations in Cauchy data may lead to large errors in the solutions.It is observed that if a bound is imposed on the solution,there exists a conditional stability estimate.This gives a reasonable way to construct stable algorithms.However,it is impossible to have good results at all points in the domain.Although numerical methods for Cauchy problems for Laplace equations have been widely studied for quite a long time,there are still some unclear points,for example,how to evaluate the numerical solutions,which means whether they can approximate the Cauchy data well and keep the bound of the solution,and at which points the numerical results are reliable?In this paper,the authors will prove the conditional stability estimate which is quantitatively related to harmonic measures.The harmonic measure can be used as an indicate function to pointwisely evaluate the numerical result,which further enables us to find a reliable subdomain where the local convergence rate is higher than a certain order.展开更多
Improved life assessment techniques will enable engineering components to be replaced before failure, thereby reducing the risk of industrial accidents as well as minimizing financial loss due to unscheduled outages. ...Improved life assessment techniques will enable engineering components to be replaced before failure, thereby reducing the risk of industrial accidents as well as minimizing financial loss due to unscheduled outages. For components operating at high temperatures, temperature measurement is very important. In many situations, the environmental conditions are too hostile for conventional techniques to be used. Researchers over the world have been looking for new techniques for temperature measurement and one such device, called Feroplug, has been developed previously by the and coworkers. The Feroplug has been patented in USA, UK and Europe by the British Technology Group. The underlying principle of the Feroplug is based on the transformation of ferrite in some specially designed duplex stainless steels. This paper describes a new invention called Sigmaplug which is a new development of the Feroplug but using an entirely different physical principle. It was discovered that the sigma phase in Fe展开更多
At each and every moment the things of our universe are subject to change. The human body too,from the very moment it is born, begins the process that will ultimately lead to death.
Low hip bone mineral density(BMD)is an important index for osteoporosis and is associated with hip fracture,which leads to more cases of disability and mortality than all other kinds of fractures(Kanis et al.,2007).BM...Low hip bone mineral density(BMD)is an important index for osteoporosis and is associated with hip fracture,which leads to more cases of disability and mortality than all other kinds of fractures(Kanis et al.,2007).BMD’s heritability is more than 60%(Arden et al.,1996).A number of candidate loci for BMD have been previously identified by Genome Wide Association Studies(GWAS)(Xiong et al.,2009;Karasik et al.,2010;Zhang et al.,2013).Nevertheless,many significant signals based on GWAS are展开更多
希腊语言学家索绪尔认为所有语言都是符号的表现,即所谓的语言的符号论。歌词与歌名是语言中较为特殊的一种。"時の流れに身を任せ"无论是对中国人还是日本人都耳熟能详的歌曲。与日文版同为一首歌的中文版的歌词名叫做"...希腊语言学家索绪尔认为所有语言都是符号的表现,即所谓的语言的符号论。歌词与歌名是语言中较为特殊的一种。"時の流れに身を任せ"无论是对中国人还是日本人都耳熟能详的歌曲。与日文版同为一首歌的中文版的歌词名叫做"我只在乎你",英文版与中文版的歌名一样,叫做"I only care about you",但是日文版的歌名"時の流れに身を任せ"在字面意思上与中、英文版无丝毫联系。若是从日文版翻译到中文,借鉴两首歌歌词的翻译对比,最恰当的歌名应为"任时光匆匆流去"。本文在思考"時の流れに身を任せ"歌名和歌词意义的同时,从索绪尔符号论中"符号的要素"的观点,来重新审视中文版与日文版之间的不同。展开更多
基金suported by the National Natural Science Foundation of China(Nos.11971121,12201386,12241103)Grant-in-Aid for Scientific Research(A)20H00117 of Japan Society for the Promotion of Science.
文摘It is well known that the Cauchy problem for Laplace equations is an ill-posed problem in Hadamard’s sense.Small deviations in Cauchy data may lead to large errors in the solutions.It is observed that if a bound is imposed on the solution,there exists a conditional stability estimate.This gives a reasonable way to construct stable algorithms.However,it is impossible to have good results at all points in the domain.Although numerical methods for Cauchy problems for Laplace equations have been widely studied for quite a long time,there are still some unclear points,for example,how to evaluate the numerical solutions,which means whether they can approximate the Cauchy data well and keep the bound of the solution,and at which points the numerical results are reliable?In this paper,the authors will prove the conditional stability estimate which is quantitatively related to harmonic measures.The harmonic measure can be used as an indicate function to pointwisely evaluate the numerical result,which further enables us to find a reliable subdomain where the local convergence rate is higher than a certain order.
文摘Improved life assessment techniques will enable engineering components to be replaced before failure, thereby reducing the risk of industrial accidents as well as minimizing financial loss due to unscheduled outages. For components operating at high temperatures, temperature measurement is very important. In many situations, the environmental conditions are too hostile for conventional techniques to be used. Researchers over the world have been looking for new techniques for temperature measurement and one such device, called Feroplug, has been developed previously by the and coworkers. The Feroplug has been patented in USA, UK and Europe by the British Technology Group. The underlying principle of the Feroplug is based on the transformation of ferrite in some specially designed duplex stainless steels. This paper describes a new invention called Sigmaplug which is a new development of the Feroplug but using an entirely different physical principle. It was discovered that the sigma phase in Fe
文摘At each and every moment the things of our universe are subject to change. The human body too,from the very moment it is born, begins the process that will ultimately lead to death.
基金partially supported by or benefited from grants from NIH (P50AR055081,R01AG026564,R01AR050496,R01AR059781,D43TW009107,P20GM109036,R01GM109068,R01MH104680,R01MH107354,R01AR057049,and R03TW008221)
文摘Low hip bone mineral density(BMD)is an important index for osteoporosis and is associated with hip fracture,which leads to more cases of disability and mortality than all other kinds of fractures(Kanis et al.,2007).BMD’s heritability is more than 60%(Arden et al.,1996).A number of candidate loci for BMD have been previously identified by Genome Wide Association Studies(GWAS)(Xiong et al.,2009;Karasik et al.,2010;Zhang et al.,2013).Nevertheless,many significant signals based on GWAS are
文摘希腊语言学家索绪尔认为所有语言都是符号的表现,即所谓的语言的符号论。歌词与歌名是语言中较为特殊的一种。"時の流れに身を任せ"无论是对中国人还是日本人都耳熟能详的歌曲。与日文版同为一首歌的中文版的歌词名叫做"我只在乎你",英文版与中文版的歌名一样,叫做"I only care about you",但是日文版的歌名"時の流れに身を任せ"在字面意思上与中、英文版无丝毫联系。若是从日文版翻译到中文,借鉴两首歌歌词的翻译对比,最恰当的歌名应为"任时光匆匆流去"。本文在思考"時の流れに身を任せ"歌名和歌词意义的同时,从索绪尔符号论中"符号的要素"的观点,来重新审视中文版与日文版之间的不同。
