1) orthogonal canonical form
正交标准形
2) orthonormality
[,ɔ:θəunɔ:'mæliti]
标准正交
1.
In this paper,the orthonormality in 2-normed spaces is discussed and Bessel s inequality in 2-normed spaces is deduced.
本文对2-赋范空间中的标准正交进行了一定的讨论,并给出了2-赋范空间的Bessel不等式。
3) thogonal coordinates
准柱面形正交坐标
4) orthonormal basis
标准正交基
1.
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。
2.
Consider the state linear system ∑(A,B,C),If the orthonormal basis _n,n∈N exist in the state space Z,it is proved that the solution of the differential Riccati equation is of general form,i.
考虑状态线性系统∑(A,B,C)中,如果状态空间Z存在一组标准正交基n,n∈N,则微分R iccati方程的解具有形式:∏(t)z=∑nm当n,n∈N是算子A的正规化特征函数时,微分Riccati方程的解有更精确的结果。
3.
In this note, we prove that if {Φ(x-k)k|k∈Z} is tight frame with bound 1 in V, then {Φ(x-k)|k∈Z} must be an orthonormal basis of V.
在这篇短文中 ,我们证明 :如果 {Φ(x -k) ｜k ∈Z}是V的界为 1的紧框架 ,那么{Φ(x-k) ｜k∈Z} 一定是V的一个标准正交
5) normal orthogonal basis
标准正交基
1.
Another method to seek normal orthogonal basis;
标准正交基的另一种求法
2.
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。
3.
By means of congruent transformation in matrix,the method of transforming real quadratic form into standard form and the method of normal orthogonal basis are given in this paper.
借助矩阵的合同变换法,给出了化实二次型为标准形的方法、求标准正交基的方法,并给出了正定二次型判定定理的新证明。
6) standard orthogonal basis
标准正交基
1.
The fact that each finite subspace has a unique orthogonal in an Eucliden space is proved in virtue of standard orthogonal basis.
文章利用标准正交基,证明了无限维欧氏空间的有限维子空间都有唯一的正交补。
补充资料：标准正交基
由单位向量构成的正交基称为标准正交基. 注: ① 由正交基的每个向量单位化,可得到一组标准 正交基. ② 维欧氏空间v中的一组基 为标准正交基 ③ 维欧氏空间v中的一组基 为标准正交基。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条