- 更多网络例句与标准正交基相关的网络例句 [注:此内容来源于网络,仅供参考]
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Theorem 7:For j=1,2,〓,we have〓and for any 〓 and 〓,the function family〓is an orthogonal basis of 〓.
定理7对每个j=1,2,…有〓13而且,对于每个〓和k=1,〓,函数族〓14是〓的一个标准正交基。
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Corollary 8:For 〓,we have〓Furthermore 〓 isan orthogonal basis of 〓.
推论8对每个j=0,1,2〓〓…而族〓是〓的一个标准正交基。
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By applying elementary transformation,this paper obtains a new method to search for a normal orthogonal basis in Euclid space, it also gives a procedure by which the fewer third elementary transformations are enough to realize this method.
导出用初等变换法求Euclid空间的标准正交基的方法,并进一步获得了只需进行较少次数的第三种类型的初等变换就能实现这一方法的结果。
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The representation of all the solutions for the equation Lv=f is obtained through constructing a standard orthogonal basis of null space N.
通过构造零空间的一组标准正交基,得到了线性算子方程Lv=f的所有解的表达形式。
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On the foundation of the conception of orthonormal basis in finite dimensional Euclidean space,this paper provides the theory of completely orthonormal system in infinite dimensional Euclidean space.
从有限维欧氏空间的标准正交基概念出发,构建了无限维欧氏空间的完全规范正交系理论。
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Finite dimensional euclidean spaces Scalar products, norms, orthonormal basis and orthonormalization.
有限维欧几里德空间标量的产品,规范,标准正交基和正交化。
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Through the "folded"transform, the "folded"orthonormal wavelet basis for the space L2 [0,1] is got.
对于L 2上的Littlewood-paley 正交小波基进行"折叠"映射,使得折叠小波基为L 2[0,1]的标准正交基。
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Firstly, a two-dimension tensor product space is constructed, in which reproducing kernel exists. Secondly a multiresolution analysis is constructed in the reproducing kernel space. Then an orthonormal basis in is obtained. Thus,the reproducing kernel space can be expressed by wavelets spaces. Wavelets approximation formula and sampling formula can also be obtained in the space. Besides, the wavelets approximation formula is simple and easy for calculation. That completes the theory of multiresolution analysis in finite interval fully and provides theoretical base and algorithm for application.
首先,构造二维张量积空间,并证明该空间具有再生核;其次在再生核空间中,建立多尺度分析,获得该空间的一个标准正交基,使得再生核空间可以由小波空间来刻画,进而得到小波级数和相应的采样公式,而且给出的小波级数形式简单易于数值分析,进一步完善了有限区间上的多尺度分析方法,也为实际应用提供了良好的理论基础和算法。
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We showed that in noncommutative case, orthonormal base vectors can be chosen to be unitary operators of any fix order.
我们证明了,在非交换条件下,能够选择标准正交基向量成为任何固定序的酉算子。
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The characteristic vector of the real symmetric matrix should be found out, which is orthogonalized and normalized to a standard orthogonal base and is used as row vector to construct the transformation matrix P, so the P~(-1)AP can be made into diagonal matrix.
实对称矩阵A经相似变换P-1AP可化为对角矩阵,在x =Py 下,不一定能化A的二次型为标准型;应寻求对称矩阵A的特征向量,将其正交化并单位化作为标准正交基,作为列向量构造变换矩阵P,可使P-1AP=Λ为对角阵,在x =Py 下,要将二次型化为标准型,且二次项系数即为对角阵Λ主对角线上元素。
- 更多网络解释与标准正交基相关的网络解释 [注:此内容来源于网络,仅供参考]
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Orthogonal basis:正交基
[简介](重定向自正交基)跳转到: 导航, 搜索在线性代数中,一个内积空间的正交基(orthogonal basis)是元素两两正交的基. 称基中的元素为基向量. 假若,一个正交基的基向量的模长都是单位长度1,则称这正交基为标准正交基(Orthonormal basis). 无
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standard orthogonal basis:标准正交基
standard orifice 标准孔口,标准孔流速计 | standard orthogonal basis 标准正交基 | standard oscillator 标准振荡器
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orthonormal basis:标准正交基
更特殊地,在希尔伯特空间(Hilbert space))中(或者略一般地,在线性内积空间(inner product space)中),一组标准正交基(orthonormal basis)就是一个完全而且正交的集合.
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orthonormal sequence:标准正交序列
orthonormal basis 标准正交基 | orthonormal sequence 标准正交序列 | orthonormality 标准正交性
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orthonormal:规格化正交的
orthomorphism 正交射 | orthonormal 规格化正交的 | orthonormal basis 标准正交基
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orthonormalization process:标准正交化过程
orthonormalization 标准正交化 | orthonormalization process 标准正交化过程 | orthonormalized basis 标准正交化基
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orthonormalized basis:标准正交化基
orthonormalization process 标准正交化过程 | orthonormalized basis 标准正交化基 | orthopole 正交极
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orthopole:正交极
orthonormalized basis 标准正交化基 | orthopole 正交极 | orthotomy 面正交性