theorem of riemann roch type
- theorem of riemann roch type的基本解释
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黎曼洛赫型定理
- 相似词
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this article discusses the integral theorem of mean the promoted question, mainly has two aspects: On the one hand in analyzes in the teaching material under the first integral theorem of mean condition, had proven lies between the value spot to have to be possible to obtain in the open-interval, further discusses this knot promotes to the generalized Riemann integral, and further proved the conclusion also establishes to the promoted first integral theorem of mean; Promotes on the one hand in addition the integral theorem of mean to in the curve and the curved surface, and has proven the curvilinear integral theorem of mean and the surface integral theorem of mean.
本文讨论积分中值定理的推广问题,主要有二个方面:一方面在分析教材中第一积分中值定理的条件下,证明了介值点必可在开区间内取得,进一步将这个结论推广到广义Riemann积分,并进一步证明结论对推广的第一积分中值定理也成立;另一方面,将积分中值定理推广到曲线和曲面中,并证明了曲线积分中值定理和曲面积分中值定理。
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For the Riemann boundary value problems for the first order elliptic systems , we translates them to equivalent singular integral equations and proves the existence of the solution to the discussed problems under some assumptions by means of generalized analytic function theory , singular integral equation theory , contract principle or generaliezed contract principle ; For the Riemann-Hilbert boundary value problems for the first order elliptic systems , we proves the problems solvable under some assumptions by means of generalized analytic function theory , Cauchy integral formula , function theoretic approaches and fixed point theorem ; the boundary element method for the Riemann-Hilbert boundary value problems for the generalized analytic function , we obtains the boundary integral equations by means of the generalized Cauchy integral formula of the generalized analytic function , introducing Cauchy principal value integration , dispersing the boundary of the area , and we obtains the solution to the problems using the boundary conditions .
对于一阶椭圆型方程组的Riemann边值问题,是通过把它们转化为与原问题等价的奇异积分方程,利用广义解析函数理论、奇异积分方程理论、压缩原理或广义压缩原理,证明在某些假设条件下所讨论问题的解的存在性;对于一阶椭圆型方程组的Riemann-Hilbert边值问题,利用广义解析函数理论、Cauchy积分公式、函数论方法和不动点原理,证明在某些假设条件下所讨论问题的可解性;广义解析函数的Riemann-Hilbert边值问题的边界元方法是利用广义解析函数的广义Cauchy积分公式,引入Cauchy主值积分,通过对区域边界的离散化,得到边界积分方程,再利用边界条件得到问题的解。
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theorem of riemann roch type:黎曼 洛赫型定理
theorem of residues 残数定理 | theorem of riemann roch type 黎曼 洛赫型定理 | theorem on embedding 嵌入定理