共查询到19条相似文献,搜索用时 46 毫秒
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首先介绍错误数据集C的定义;再者引出错误数据集合的变换,最后研究各类错误数据集的有关运算及这些运算所满足的运算律.得出错误数据集的变换包括逆、或、积;错误集的变换类型有7种包括单位变换、置换变换、分解变换、组合变换、毁灭变换、增加变换、相似变换. 相似文献
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本文以DFT的收缩(Systolic)阵列结构为基础,给出了一类数字变换的收缩阵列,这些变换包括离散富里叶变换,离散余弦变换,离散正弦变换,离散Hartley变换,数论变换和多项式变换. 相似文献
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林路 《高校应用数学学报(A辑)》1998,13(2):153-158
该文首次用几何方法研究回归模型中数据变换参数及其子集参数的渐近置信域问题.由于文中讨论的是一般的数据变换多参数的渐近置信域的曲率表示,从而有关结论适用于各种数据变换如著名的Box-Cox变换、带有漂移参数的幂变换等变换中变换参数的渐近置信域的曲率表示. 相似文献
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提出了反余弦函数变换方法,证明了这种变换是级比压缩变换,能够提高序列光滑度,可以保持序列凹凸性,不会增大还原误差,满足数据变换的构造准则.通过具体算例表明,基于反余弦函数变换的GM(1,1)模型的预测精度优于传统GM(1,1)模型和基于幂函数变换的GM(1,1)模型,说明了该变换的有效性. 相似文献
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围绕如何提高《积分变换》的教学质量问题,分《复变函数》是《积分变换》的重要基础、《积分变换》的重点、δ-函数在积分变换中的作用、积分变换的应用等四个方面展开讨论,并列举了若干例子. 相似文献
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本文针对小波变换教学中小流变换概念理解困难的问题,提出了一种比较教学方法,通过分析小波变换与傅立叶变换之间的联系,并从四个方面进行对比,清楚地描述了小波变换的本质,从而对加深对小波变换的理解。 相似文献
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我们约定,若对矩阵A=(a_(i.i)n×n进行T_h变换的累计次数为奇数,则称对a_(k.k)进行了有效变换,否则称对a_(k.k)进行了无效变换。若已对个m不同的对角元分别进行了有效变换,则称已对A进行了m次有效变换。若对A进行了一系列变换后,结果矩阵仍存在没有进行有效变换的非零对角元,则称此时消去变换是“可继续的”。选择一个尚未进行有效变换的主对角元进行消去变换,称为选择一个可行方向。若对A沿某可行方向进行了一系列有效变换后,结果矩阵中所有非零主对角元均已进行了有效变换,则称此时巳对A沿此可行方向进行了“无后续的变换”。 相似文献
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Pedro J. Miana 《Semigroup Forum》2005,71(1):119-133
The aim of this paper is to characterize cosine and sine functions in terms
of vector-valued cosine transforms on a Banach space X. We also introduce
vector-valued sine transforms. 相似文献
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George K. Yang 《Applicable analysis》2013,92(5):501-507
We investigate the wavelet transforms of tempered distributions in a way that closely links their Fourier transforms and wavelet transforms. Two exchange formulas of the convolution and the multiplication of wavelet transforms of tempered distributions are established. We call these formulas the quasi-exchange formulas for wavelet transforms of distributions, because of the resemblance between these formulas and the well-known exchange formula for Fourier transforms. 相似文献
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George K. Yang 《Applicable analysis》2013,92(5):1019-1032
We study the wavelet transforms of tempered distributions via unitary irreducible representations, Fourier transforms, and the wavelet transforms of infinitely differentiable functions of rapid descent. We explore the general properties, and derive the pseudo-exchange formulas for wavelet transforms of tempered distributions. While the new formulas are rather different from the exchange formula for Fourier transforms of distributions, yet the pseudo-exchange formulas still exchange the products of convolution and the products of multiplication of tempered distributions. 相似文献
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S. Berhanu 《偏微分方程通讯》2013,38(1):38-57
We introduce a class of FBI transforms whose phase functions may have a degenerate Hessian and present an application of these transforms to the microlocal analytic hypoellipticity of certain systems of vector fields. 相似文献
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Samar ElHitti 《代数通讯》2013,41(5):2003-2045
We generalize Zariski's Perron transforms to obtain a proof of local uniformization of an arbitrary singular variety of characteristic zero along a valuation of arbitrary rank. Furthermore, we resolve the centers of all the composite valuations as well as the prime ideals of infinite value. 相似文献
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We introduce a family of wavelet-like transforms associated to certain admissible
semigroups of operators acting on Lp-spaces, and prove the corresponding reproducing formula
of Calderòn’s type. The new transforms constitute a unified approach to inversion of a wide class
of integral operators in analysis and applications. We illustrate the general theory by considering
Riesz and Bessel potentials (associated to the ordinary and the generalized translation), and the
k-plane Radon transform on ℝn. 相似文献
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Hendrik De Bie Nele De Schepper Frank Sommen 《Journal of Fourier Analysis and Applications》2011,17(6):1198-1231
Recently, there has been an increasing interest in the study of hypercomplex signals and their Fourier transforms. This paper
aims to study such integral transforms from general principles, using 4 different yet equivalent definitions of the classical
Fourier transform. This is applied to the so-called Clifford-Fourier transform (see Brackx et al., J. Fourier Anal. Appl.
11:669–681, 2005). The integral kernel of this transform is a particular solution of a system of PDEs in a Clifford algebra, but is, contrary
to the classical Fourier transform, not the unique solution. Here we determine an entire class of solutions of this system
of PDEs, under certain constraints. For each solution, series expressions in terms of Gegenbauer polynomials and Bessel functions
are obtained. This allows to compute explicitly the eigenvalues of the associated integral transforms. In the even-dimensional
case, this also yields the inverse transform for each of the solutions. Finally, several properties of the entire class of
solutions are proven. 相似文献
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Something About All or Nothing (Transforms) 总被引:1,自引:0,他引:1
D. R. Stinson 《Designs, Codes and Cryptography》2001,22(2):133-138
Inthis short note, we study all-or-nothing transforms, which wererecently proposed by Rivest as a mode of operation for blockciphers. We study transforms of this type that provide unconditionalsecurity. A simple construction for linear transforms is given,and some existence and non-existence results for general transformsare derived from a combinatorial characterization of these objects. 相似文献
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By introducing a series of operators Ty(m), m = 0,1,. . . , a representation of the generalized translation of the product of two functions associated to Hankel transforms
is given. These operators have certain properties of finite differences. The analogous problem related to Jacobi transforms
is also studied. 相似文献