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|  | | 为了更好的帮助您理解掌握查询词或其译词在地道英语中的实际用法,我们为您准备了出自英文原文的大量英语例句,供您参考。 | |
Let S ? ?n+1 be the graph of the function ? :[-1, 1]n → ? defined by ? (x1, …, xn) = ∑j=1n|xj|αj, with1>amp;lt;α1 ≤ … ≤ αn, let σ the Euclidean area measure on S.
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In this article we develop the theory of one-sided versions of the g function of Littlewood and Paley, the area function S of Lusin and the that admit weighted norm estimates with weights belonging to the classes Ap+ of Sawyer.
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Anewwavelet-based geometric mesh compression algorithm was developed recently in the area of computer graphics by Khodakovsky, Schr?der, and Sweldens in their interesting article [23].
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As a result, the algorithm in [23] outperforms several available geometric mesh compression schemes used in the area of computer graphics.
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The QSAR model indicates that the thermodynamic descriptors (heat of formation, log P, and molar refractivity) and steric descriptor (solvent assessable surface area) play an important role for the anti-HIV activity.
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We use the theory of tilting modules for algebraic groups to propose a characteristic free approach to "Howe duality" in the exterior algebra.
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This study was continued in the paper [FKRW] in the framework of vertex algebra theory.
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In the present paper we study the remaing nontrivial case, that of a negative central charge-N.
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In the case of 4-dimensional anticommutative algebras a construction is given that links the associated cubic surface and the 27 lines on it with the structure of subalgebras of the algebra.
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In the case of 3-dimensional commutative algebras a new proof of a recent theorem of Katsylo and Mikhailov about the 28 bitangents to the associated plane quartic is given.
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Finally, we consider the spline of order 2; we investigate numerically the region of the time-frequency plane where it generates a frame and we compute the dual function for some values of the parameters.
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For a large region in the parameter space, the schemes are convergent in the space of Schwartz distributions.
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The best windows for the purpose of localized spectral analysis have their energy concentrated in the region of interest while possessing the smallest effective bandwidth as possible.
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Such an estimate is both more representative of the target region and reduces the estimation variance when compared to estimates formed by any single bandlimited window.
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All the eleven derived models were further optimized using the PLS region focusing tool to increase the model resolution which led to eleven more models.
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For a fairly general class of orthonormal scaling functions and wavelets with regularity exponents n, we prove that the areas of the time-frequency windows tend to infinity as n → ∞.
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Certainly, both algebras are used in some other areas.
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Certainly, both algebras are used in some other areas.
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In this article, the MCA algorithm is extended to the analysis of spherical data maps as may occur in a number of areas such as geophysics, astrophysics or medical imaging.
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A quantitative structure-retention relationships (QSRR) approach, as one of the all-important areas in modern chemical science, gives knowledge that is practical and necessary for drug design, combinatorial, and medicinal chemistries.
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