Integration formulas of tenth order and higher
نویسندگان
چکیده
منابع مشابه
Persistent and Invariant Formulas Relative to Theories of Higher Order
The purpose of this department is to provide early announcement of significant new results, with some indications of proof. Although ordinarily a research announcement should be a brief summary of a paper to be published in full elsewhere, papers giving complete proofs of results of exceptional interest are also solicited. Manuscripts more than eight typewritten double spaced pages long will no...
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Within the framework of Taylor models, no fundamental difference exists between the antiderivation and the more standard elementary operations. Indeed, a Taylor model for the antiderivative of another Taylor model is straightforward to compute and trivially satisfies inclusion monotonicity. This observation leads to the possibility of treating implicit ODEs and, more importantly, DAEs within a ...
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Formulas for the cosines of the higher-order phase invariants that arise in crystal structure analysis are derived as expected values from determinantal joint probability distributions. The values of the cosines of the invariants are expressed in terms of averages over simple functions of known structure factor magnitudes. The formulas are termed "special" to distinguish them from formulas that...
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چکیده: فرض کنید که تابعی از اپسیلون یک مجموع نامتناهی از احتمالات موزون مربوط به مجموع های جزئی براساس یک دنباله از متغیرهای تصادفی مستقل و همتوزیع باشد، و همچنین فرض کنید توابعی مانند g و h وجود دارند که هرگاه امید ریاضی توان دوم x متناهی و امیدریاضی x صفر باشد، در این صورت می توان حد حاصلضرب این توابع را بصورت تابعی از امید ریاضی توان دوم x نوشت. حالت عکس نیز برقرار است. همچنین ما با استفاده...
15 صفحه اولComputational Higher Order Quasi-Monte Carlo Integration
The efficient construction of higher-order interlaced polynomial lattice rules introduced recently in [6] is considered and the computational performance of these higher-order QMC rules is investigated on a suite of parametric, highdimensional test integrand functions. After reviewing the principles of their construction by the “fast component-by-component” (CBC) algorithm due to Nuyens and Coo...
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ژورنال
عنوان ژورنال: Moscow University Mathematics Bulletin
سال: 2010
ISSN: 0027-1322,1934-8444
DOI: 10.3103/s0027132210040017