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- The Lebesgue integral is defined in such a way that all these integrals are 0. 积分是线性定义的,即如果,则。特别地,由于复数是实数向量空间,故值为复数的函数也可定义积分。
- Tutorials in measure theory, lebesgue integration and probability, by Noel Vaillant. 介绍概率论以及测量方法方面的网站。
- It does not assume acquaintance with either the Lebesgue integral or with functional analysis. 傅立叶级数的收敛性;傅立叶积分的应用;
- We proves several conclusions on generalized Riemann integral and Lebesgue integral,Cauchy principal value integral and Lebesgue integral. 证明了广义Riemann积分与Lebesgue积分、柯西主值积分与Lebesgue积分关系的若干结论.
- This paper gives a proof to the geometry significance of Lebesgue integral calculus on the base of Descartes accumulation. 利用笛卡尔积性质给出了可测函数的Lebesgue积分几何意义的一个新证法
- After constrcting the perfective space, prove that this space is just the space of Lebesgue integratiable function, thus explain that Lebesgue integral is the form of the perfective Riemann integral. 在构造了完备化空间之后,证明了该空间就是勒贝格可积函数空间,从而说明了黎曼积分的完备化形式是勒贝格积分。
- The main topics are: set theory foundation, Lebesgue measure and Lebesgue integral, basic theories on linear normed spaces and Hilbert spaces and introduction to linear bounded operators. 本课程的基本内容有:一元函数微积分学。
- Based on knowledge base of rough sets theory, knowledge integral sum and knowledge integral are defined.Their properties and the connection with Lebesgue integral sum and integral are studied. 摘要基于粗糙集理论的知识库,定义了知识积分和与知识积分,研究了它们自身的性质及与勒贝格积分和、勒贝格积分的关系。
- This paper describes the feature of Riemann integratiable function, and point out that the space of Riemann integratiable function is not perfect under the meaning of Lebesgue integral. 摘要综述了黎曼可积函数的基本特征,并指出黎曼可积函数列的极限运算在积分意义下是不封闭的。
- Calculation Method of Lebesgue Integral 勒贝格积分的计算方法
- lebesgue integrable 勒贝格可积的
- Integrable systems, geometry, and topology. 可积系统;几何与拓扑.
- lebesgue integral 勒贝格积分
- Lebesgue integrals Lebesgue积分
- 103 picks up where 18.100B (Analysis I) left off. Topics covered include the theory of the Lebesgue integral with applications to probability, Fourier series, and Fourier integrals. 课程18.;103是18
- A nearly integrable system is an important branch of Hamiltonian system. 近可积系统是哈密顿系统中的一个重要系统。
- And many integrable equations arise naturally from motions of curve. 特别地,许多可积方程也都自然地产生于曲线的运动。
- This paper investigates the integrable inhomogeneous generalized Heisenberg ferromagnet model by using the prolongation structure theory. 摘要利用延拓结构研究了可积的非均匀推广的海森堡铁磁链方程。
- Realvariable Funktion: die Funktiontheorie basiert an der Theorie der reelle Zahlen und der Mengetheorie. das Lebesgue Mass und die Integraltheorie. 实变函数:实数理论和集合理论基础上的函数理论。勒贝格测度和积分理论。
- We give a new proof that every absolutely Henstock integrable function is McShane integrable. 我们给出每个绝对Henstock可积函数都是Mcshane可积的一个新的证明