查询词典 one dimensional

We paid special attention to the complex linear space consisting of all linear mappings from dimensional complex inner product space into dimensional complex inner product space .

2是与基的选择无关的概念。容易验证内积(2)满足内积的公理，从而是一个位的复内积空间。当是的正交归一基，是的正交归一基，可以证明构成的正交归一基。

Firstly, the study of the mechanical model. The three-dimensional finite element model is established, and it is condensed into M-dof interlamination structural model. The structural dynamic analysis is implemented by use of three-dimensional finite element model and M-dof interlamination structural model.

本文通过严谨的数学推导，得出"力学不耦合"的超高层结构顺风向和尾流旋涡干扰引起的横风向振动随机响应公式，并编制了相关计算程序，深入研究了应用随机振动理论进行结构风振反应分析的方法。

First, the "autoencoder" network embeds the high-dimensional trajectories in a two-dimensional plane based on a peculiar training rule and learns a trajectory generative model by the inverse mapping.

首先，自编码网络按照一定的学习规则将高维轨迹嵌入到二维平面上，通过该网络的逆向映射得到轨迹的生成模型，由轨迹生成模型可得到一系列可行性轨迹。

On this basis, it deeply analyzesed the spatial geometry structure of hyper spectral data lattice distribution, concluded that high\|dimensional space of remote sensing hyper spectral data belong to low\|dimensional geometry structure \|"hyperplane" shape, and anomaly point group which includes alteration information usually dissociates out the "hyperplane".

在此基础上，对高光谱数据点阵分布的空间几何结构进行了深入的研究分析，推断出遥感高光谱数据集合的高维空间属于低维几何结构"超平面"形态，而包含蚀变信息在内的异常点群通常会游离在"超平面"之外。

Three-dimensional reconstruction is realized by three-dimensional morphological characteristic of cucumber leaf ,cubic Bezier curve of leafstalk,pentagon leafstalk section,jointing quadrangle leafstalk surface,leafstalk shags built by random and joint sequential C0 cubic NURBS surface in cucumber.

根据黄瓜叶的三维形态特征，利用3次Bezier曲线描述黄瓜叶柄曲线，采用五边形作为叶柄截面，用四边形面片进行叶柄表面拼接，并用随机方法生成叶柄的粗毛；利用C0连续的3次NURBS曲面拼接生成了黄瓜叶片曲面，实现了黄瓜叶的三维重建。

For the original infinite dimensional problem, if the inexact quasi-newton method with Broyden updating can not converge quickly , for example, it can not attain super linear convergence rate , then when the discretization is becoming finer and finer , we can not get fast convergence rate for the corresponding finite dimensional problem.

对于原来的无限维问题，如果使用不精确Broyden方法不能得到较快的收敛速度，比如超线性收敛性，那么当离散化逐渐加细的时候，对于所得的有限维问题使用不精确Broyden方法也不可能得到较快的收敛速度，所以有必要在无穷维空间上对收敛性问题加以分析，从而为不精确拟牛顿法结合投影法求解算子方程做好准备。

First, the reason behind the negative data is analyzed and a nonnegative constraint is imposed on the classic PCA. Then a set of nonnegative linear independence weight vectors of principal components is obtained, by which a low dimensional space is constructed. Finally, a nonlinear optimization technique is used to determine the projection vectors of the high-dimensional multi-spectral data in the constructed space.

首先分析主成分分析法产生非光谱数据的原因，据此对经典主成分分析模型增加非负约束；然后求出一组线性无关的非负主成分权向量，用该组向量构造低维空间；最后用非线性优化技术确定高维数据在该低维空间中的投影值，实现了高维空间与低维空间的相互转换。

This paper presents a method of localized linear manifold self-organizing map, which is able to learn a set of ordered low-dimensional linear manifolds in the high-dimensional vector space.

摘要提出一种局部化的线性流形自组织映射方法，可自主学习高维向量空间中的一组有序的低维线性流形。

Many high dimensional data in real world applications can be modelled as data points lying close to a low dimensional linear/nonlinear manifold.

真实世界应用中的许多高维数据都能被建模成为位于低维的线性／非线性流形附近的数据点。

Some methods based on statistics for dimensional position and data processing by such software as Excel are suggested for the calibration of the dimensional angle shown by a dynamic target using linear matrix CCD and video interpretation.

动态旋转靶标可以给出检测光电测量设备跟踪精度和测量精度的空间角度真值，针对动态靶标的空间角度标定问题提出了基于线阵CCD标定和视频判读标定的方法。

"Yes, now you can give yourself airs," she said, you have got what you wanted.

"对了，您现在高兴了，"她说道，这是您所期待的。

Then the LORD said to me: Rebel Israel is inwardly more just than traitorous Judah.

上主于是对我说：＂失节的以色列比失信的犹大，更显得正义。