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Finite energy band-limited functions are reconstructed iteratively
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When, in addition, the Tolimieri-Orr condition A is satisfied, the minimum energy dual windowoγ ε L2(?) can be sampled as well, and the two sampled windows continue to be related by duality and minimality.
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Finite-energy high frequency signals, band-pass frequency signals, and band-stop frequency signals are characterized.
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We use the analytic tools such as the energy, and the Laplacians defined by Kigami
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On Global Finite Energy Solutions of the Camassa-Holm Equation
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If is a ?2-grading of a simple Lie algebra, we explicitly describe a-module Spin0 () such that the exterior algebra of is the tensor square of this module times some power of 2.
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The operation adj on matrices arises from the (n - 1)st exterior power functor on modules; the analogous factorization question for matrix constructions arising from other functors is raised, as are several other questions.
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Let q be a power of p and let G(q) be the finite group of Fq-rational points of G.
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We prove a Tauberian theorem of the form $\phi * g (x)\sim p(x)w(x)$ as $x \to \infty,$ where p(x) is a bounded periodic function and w(x) is a weighted function of power growth.
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A new C*-algebra of strong limit power functions is proposed.
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| ~~ | 本文用实验结果及理论分析阐明了变压器对电机附雷所起的作用。研究的结果表明:当单相或两相有冲击波袭来时,变压器的作用完全等于一个电感,它不是象很多研究者认为的就是变压器工频漏感,而是等于变压器的高频漏感,后者可能只有前者的四分之一左右。为了保护电机不受雷害,必须使电机母线上具有足够的电容,其值如文中表1所示。此外,本文还证明了星形,星形结线对电机防雷最有利,而且自耦变压器也同样具有防雷作用——经过线卷直接穿过去的波是微不足道的;从而否定了某些研究者认为变压器必须有一个三角结线以及自耦变压器不能防雷的说法。由于1∶1的防雷变压器成本很大,运行中又损耗能量,而它只不过等于一个不大的电感的作用,所以建议不要采用。 | ~~ | 本文探讨了油自盜灭弧室内电弧能量、压力及其机械强度计算方法。方法的简便和可靠性给设计灭弧室提供了工程计算的实际可能性,并对分析试验结果也有用。 | (?) | 本文先评论了教本中流行的“能量连续变化”原理,然后直接从“跃变是真实的迅速变化过程的极限近似”观点,推导了换路时电感电流和电容电压的跃变规律,并论述了直接判别它们是否跃变的方法。最后,讨论了运用广义函数或拉普拉斯变换时有关的问题。 |   | << 更多相关文摘 |
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