标准正交的

As a kind of complete orthogonal polynomial system, U system has many good properties such as orthogonality and convergence.

作为一种可选定次数的完备正交多项式系统，U系统所定义的矩具有标准正交性、收敛性等优良性质。

In the third, we hit the variational principle, orthogonal decomposition, orthonormal base, Riesz representation theorem and the conjugate operators in the Hilbert space.

第三部分，Hilbert空间的变分原理、正交分解、完备标准正交系的存在性、Riesz表现定理和共扼算子等。

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。

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。

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。

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。

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。

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。

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。

Standard orthogonal design and Improved orthogonal design are used respectively in transition trajectory optimization design of suborbital launch vehicle.

运用标准正交设计法和改进的正交设计法优化亚轨道飞行器再入段轨道参数。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。