As is Wellknown in both elastic mechanics andfluid mechanics, the plane problems are more convenient than space problems. One of the causes is that there has been a complete theory about the complex Junction and the a...As is Wellknown in both elastic mechanics andfluid mechanics, the plane problems are more convenient than space problems. One of the causes is that there has been a complete theory about the complex Junction and the analytic junction, hut in space problems, the case is quite different.We have no effective method to deal with these problems. In this paper, we first introduces general theories of Clifford algebra. Then we emphatically explain Clifford algebra in three dimensions and establish theories of regular Junction in three dimensions analogically to analytic function in plane. Thus we extend some results of plane problem-la three dimensions or high dimensions. Obviously, it is very important for elastic and fluid mechanics. But because Clifford algebra is not a commutative algebra, we can't simply extend the results of two dimensions to high dimensions. The left problems are yet to be found out.展开更多
The temperature of sea water is one of the fundamental conditions of typhoon,which is formed when the temperature exceeds 26℃. The results obtained from numerical simulation also show that typhoon can only be formed ...The temperature of sea water is one of the fundamental conditions of typhoon,which is formed when the temperature exceeds 26℃. The results obtained from numerical simulation also show that typhoon can only be formed at high temperature, otherwise it is either difficult to produce or the typhoon formed is very weak. This paper lays emphasis on the discussion of tropical cyclone related to wind speed at 14 m/s and the similar results obtained, thus confirming the above statement.展开更多
Let i and e be two elements generating Douglis algebra （Commu. on Pure and Appl. Math., 6（1953）, 259）, they are subject to the multiplication rules i2=-1, ie=ei, er+1=0, e0=1 （r is a positive integer）. In wide a...Let i and e be two elements generating Douglis algebra （Commu. on Pure and Appl. Math., 6（1953）, 259）, they are subject to the multiplication rules i2=-1, ie=ei, er+1=0, e0=1 （r is a positive integer）. In wide applications to plane elastic theory some elliptic systems can be written as simple form Dw+Aw+B（?）=F, where D展开更多
Let X be a Baaaeh space and Y（X） the algebra of all bounded linear operators on X.a = （a1,…,an） （X） is a commuting system, sp（a, X） denotes the Taylor joint spectrum of a on X. a is said to be m-decomposable ...Let X be a Baaaeh space and Y（X） the algebra of all bounded linear operators on X.a = （a1,…,an） （X） is a commuting system, sp（a, X） denotes the Taylor joint spectrum of a on X. a is said to be m-decomposable with respect展开更多
This letter will discuss Ⅱ operator and its properties of hypercomplex function space in a Douglis algebra. First of all, we introduce the differentiator,
The case of heavy rain on the meiyu front of June 24—27, 1981 is analysed by use of the mesoscale data with 45×45 km×50 hPa grid mesh. It is found that there exist some meso-α scale rain belts embedded in ...The case of heavy rain on the meiyu front of June 24—27, 1981 is analysed by use of the mesoscale data with 45×45 km×50 hPa grid mesh. It is found that there exist some meso-α scale rain belts embedded in the area of the meiyu front, and a lot of meso-β scale rain peak cluster moving along these rain belts.The meso-α scale rain belts are corresponding to the mesoscale convergence lines and the tilting rotor circulation cells. Since the isentropic slope is relatively steep there, and even appears in folding, it satisfies the criterion of the conditional asymmetric instability. Thus, it can be recognized that the meso-α scale rain belts are triggered by the developing inertial-gravitational waves. However, the meso-β scale rain peak clusters are corresponding to the inertial-gravitational waves with the mixed vertical structure, which basically satisfies the instable criterion of the transversal waves.展开更多
基金This is a comprehensive report at the Second National Symposium on Modern Mathematics and MechanicsProject Supported by the Science Foundation of the Chinese Academy of Sciences
文摘As is Wellknown in both elastic mechanics andfluid mechanics, the plane problems are more convenient than space problems. One of the causes is that there has been a complete theory about the complex Junction and the analytic junction, hut in space problems, the case is quite different.We have no effective method to deal with these problems. In this paper, we first introduces general theories of Clifford algebra. Then we emphatically explain Clifford algebra in three dimensions and establish theories of regular Junction in three dimensions analogically to analytic function in plane. Thus we extend some results of plane problem-la three dimensions or high dimensions. Obviously, it is very important for elastic and fluid mechanics. But because Clifford algebra is not a commutative algebra, we can't simply extend the results of two dimensions to high dimensions. The left problems are yet to be found out.
文摘The temperature of sea water is one of the fundamental conditions of typhoon,which is formed when the temperature exceeds 26℃. The results obtained from numerical simulation also show that typhoon can only be formed at high temperature, otherwise it is either difficult to produce or the typhoon formed is very weak. This paper lays emphasis on the discussion of tropical cyclone related to wind speed at 14 m/s and the similar results obtained, thus confirming the above statement.
文摘Let i and e be two elements generating Douglis algebra （Commu. on Pure and Appl. Math., 6（1953）, 259）, they are subject to the multiplication rules i2=-1, ie=ei, er+1=0, e0=1 （r is a positive integer）. In wide applications to plane elastic theory some elliptic systems can be written as simple form Dw+Aw+B（?）=F, where D
文摘Let X be a Baaaeh space and Y（X） the algebra of all bounded linear operators on X.a = （a1,…,an） （X） is a commuting system, sp（a, X） denotes the Taylor joint spectrum of a on X. a is said to be m-decomposable with respect
文摘This letter will discuss Ⅱ operator and its properties of hypercomplex function space in a Douglis algebra. First of all, we introduce the differentiator,
文摘The case of heavy rain on the meiyu front of June 24—27, 1981 is analysed by use of the mesoscale data with 45×45 km×50 hPa grid mesh. It is found that there exist some meso-α scale rain belts embedded in the area of the meiyu front, and a lot of meso-β scale rain peak cluster moving along these rain belts.The meso-α scale rain belts are corresponding to the mesoscale convergence lines and the tilting rotor circulation cells. Since the isentropic slope is relatively steep there, and even appears in folding, it satisfies the criterion of the conditional asymmetric instability. Thus, it can be recognized that the meso-α scale rain belts are triggered by the developing inertial-gravitational waves. However, the meso-β scale rain peak clusters are corresponding to the inertial-gravitational waves with the mixed vertical structure, which basically satisfies the instable criterion of the transversal waves.
