有限維子代數 的英文怎麼說
中文拼音 [yǒuxiànwéizidàishǔ]
有限維子代數
英文
finite dimensional subalgebra- 有 : 有副詞[書面語] (表示整數之外再加零數): 30 有 5 thirty-five; 10 有 5年 fifteen years
- 限 : Ⅰ名詞(指定的范圍; 限度) limit; bounds Ⅱ動詞(指定范圍, 不許超過) set a limit; limit; restrict
- 維 : Ⅰ動詞1 (連接) tie up; hold together; link 2 (保持; 保全) maintain; safeguard; preserve; keep ...
- 子 : 子Ⅰ名詞1 (兒子) son 2 (人的通稱) person 3 (古代特指有學問的男人) ancient title of respect f...
- 代 : Ⅰ動詞1 (代替) take the place of; be in place of 2 (代理) act on behalf of; acting Ⅱ名詞1 (歷...
- 數 : 數副詞(屢次) frequently; repeatedly
- 有限 : limited; restricted; finite; a little; not much
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Program : to present new research results in the representation theory of finite and infinite dimensional algebras, lie algebras, algebraic groups, quantum groups, superalgebras, vertex operator algebras, and related applications to other fields of mathematics and physics
會議內容:這次會議將交流我國及世界其它國家在以下領域中的最新研究成果:有限維及無限維結合代數的表示理論;李群,李代數,代數群,有限群,以及量子群的表示理論;頂點運算元代數及其表示理論;與以上表示理論有關的數學物理及量子場論The control equation consist of completely coupled deformation equation, seepage equation, conduction and convection equation of heat, which describe the reservoir non - liner performance. 2, present the detailed strategy and methods to solve this mathematics model, the basic strategy as follows : regard the deformation equation ? seepage equation conduction and convection equation of heat as separate system, and solve the equation by coupling and iterative method ; disperse the control equation in the geometry field by the finite element method ( galerkin ), and in the time field by the finite difference method : programme the computer program on this task ; when the solving, take the combinative measures of the thick and thin mesh ; successfully carry out the numerical simulation in vast 3d heat extraction system of hdr
2 、提出了高溫巖體地熱開發的固、流、熱多場耦合數學模型的數值解法,其基本的求解策略是:將固體變形,流體滲流與溫度場方程看成獨立的子系統,耦合迭代求解;利用有限元離散( galerkin )方法將控制方程在幾何域上離散,並用差分法得到時間域上的離散方程,並在此基礎上,編制了相應的計算機源程序;有限元求解中,為減小邊界效應的影響,在計算中採取粗細網格結合的方法,順利地實現了高溫巖體地熱開發三維巨系統的數值模擬。Let f be a field and charf = p = 3. in this paper the generators of modular simple lie superalgebras w, h, s, k and ho of cartan - type are determined. their derivation algebras and their dimensions are determined, also. the main results are following : ( l ) let t = { xki | 1 < i < m, 0 < ki < 3ti }, s = { xi | m + 1 < i < s }, then t sgenerates k ( m, n, t )
設f是特徵p = 3的域,本文決定了f上有限維cartan型單李超代數w型, h型, s型, k型和ho型的生成元和它們的導子代數及其維數The cnn with based - term will be restudieiin chapter 3. under certain parameters, the stationary solutions " iteration map is topological conjugate to a beruonulli shift of certain symbolic space. moreover, the spatial entropy function of the map is two - dimensional and can be obtained explicitly as a space devil - staircase
在本文第三部分,我們在閾值非零的情況下,重新對其定態解誘導的一維迭代映射進行了細致分析,得知在不同的參數范圍內,迭代映射拓撲共軛于不同的符號空間的有限子移位。In capter 2, it is proved that the system possesses a global attractor and a two - side estimate for the fractal dimension of it is presented. in capter 3, several different approximate intertial manifolds of the system are constructed by applying linear galerkin method, method of projecting operator and operator eigenvalue and successive iterative method, and it is proved that arbitary trajectory of the system enters into a small neighbourhood of the global attractor after large time. capter 4 studies the asymptotic attractor of the system by constructing a solution sequence which approaches to the global attractor of the equation in long time, and the dimentional estimate of the asymptotic attractor is given
第二章證明了該系統的整體吸引子的存在性,給出了其分形維數的上下界;第三章利用線性galerkin方法、運算元投射和運算元特徵值方法及逐次迭代方法構造了幾類近似慣性流形,證明了該方程的任意解軌道在長時間后進入整體吸引子的任意小鄰域;第四章構造了一個有限維解序列即該系統的漸近吸引子,證明了它在長時間后無限趨于方程的整體吸引子,並給出了漸近吸引子的維數估計Derivation algebras play an important role in the research of lie algebras and lie superalgebras. until 1988, the derivation algebras of finite dimensional modular lie algebras of cartan - type had been researched
由於導子代數在李代數及李超代數的研究中起著非常重要的作用。到1988年,已研究了有限維cartan型模李代數的導子代數。分享友人