四元数空间

词组短语

space of quaternions

与四元数空间相关的网络例句 [注：此内容来源于网络，仅供参考]

A novel direction of arrival and polarization estimation of electromagnetic vector sensors mounted on the airframe is proposed based on biquaternion. The signal processing model for EM-sensor mounted on the airframe is made by biquaternion and then the eigenvalue decomposition of spectral matrix is obtained by means of the EVD of its quaternion adjoint matrix. The memory requirement for data is reduced, and more accurate estimation result is gotten by deducing the stronger orthogonality constraint between the sin- gal and noise subspaces on the field of biquaternion. The performance of the new algorithm is confirmed through numerical examples.

针对机载电磁矢量传感器阵列DOA和极化参数估计问题，提出了一种基于复四元数估计方法，该算法利用四元数建立机载电磁矢量传感器阵列信号处理模型，然后利用四元数联合矩阵的特征分解得到阵列数据相关矩阵的特征分解，一方面使得计算过程中数据的贮存量大大减少，另一方面通过推导得到信号子空间和噪声子空间在四元数域上的正交性从而使DOA和极化参数佑计的精度更高，仿真证实了本算法的有效性。

After analysing the existing smooth orientation interpolation methods we proposed a smooth orientaion interpolation method based on cubic cardinal spline in quaternion space. This method possesses the following advantages: interpolation, C〓 continuity, accurate evaluation of the quaternion value at arbitrary parameter, transparent to the users, adjustable parameters for controlling the velocity of orientation change.

在分析现有的朝向光滑插值方法基础上，提出了基于四元数空间三次C样条的朝向光滑插值方法，该方法具有插值、C〓连续、任一参数处的四元数值可精确求得、对用户透明、可以用参数调节关键帧处物体朝向变化的速度等优点。

We know that examples of special Lagrangian submanifolds are very important for studying these submanifolds.

我们也采取相应的思想，得到一些四元数欧式空间中有关极小拉格朗日的伯恩斯坦型定理。

Bernstein type theorem; Quaternion Euclidean space; minimal Lagrangian graphs; Twisted special Lagrangian submanifold; twisted normal bundle; Austere submanifolds; Real space form; Complex space form; Hamiltonian minimal submanifold; A Lagrangian submanifold with conformal Maslov form

基础科学，数学，几何、拓扑伯恩斯坦型定理；四元数欧氏空间；极小拉格朗日图；扭曲特殊拉格朗日子流形；扭曲法丛； Austere子流形；实空间形式；复空间形式；哈密尔顿极小子流形；具有共形Maslov形式的拉格朗日子流形

The computational flow of light propagation and the key techniques of visualization are presented. An optical system was employed to verify the correctness and feasibility of quaternion method in the calculation of beam propagation, and the pincushion distortion caused by the optical system was successfully simulated.

通过对某光学系统的仿真分析，成功仿真出图像经过光学系统产生的枕形畸变，证明四元数方法在光线传输运算中的正确性与可行性，为复杂光学系统的空间光线传输计算提供了另一种方法。

A new effective method which makes use of quaternion theory is presented to implement location transformation of a plane curve.

利用实四元数理论，提出了一种将一般位置平面曲线变换到空间任意指定位置的一种简捷方法。

But the space is the matter, the matter is the string vibration, only has from this the time which vibrates f=1/T to draw out only then has the physics significance, therefore T is in the true significance time, from this deduction: What imaginary number Ict expresses is void, may write *ct,=I pure imaginary number, also is it with Number space Sigma (x1i*x2j)(i, j is subscript, i=j=1,2,3) differs 90 in the space, the shape for example: Psi ==a+Ib, constitutes a duplicate space by psi i* psi j,(definition mark * for ordinary multiplication) may use Four single numbers

而空间就是物质，物质就是弦的振动，只有从这个振动f=1/T引出的时间才有物理意义，所以T才是真正意义上的时间，由此推论：虚数Ict所表达的是一个虚空间，可以写成*ct，=I纯虚数，也即它与实空间Σ(x1i*x2j)(i，j为下标，i=j=1，2，3)在空间上相差90度，形如：ψ==a+Ib，由ψi*ψj构成一个复空间，可用四元数

Because of Its wide-ranging connection with many applied science, such as the quantum physics, geostatic, the figure and pattern recognition and the space telemetry and so forth, the research in quaternion algebra is valuabe.

四元数在众多的应用问题中存在广泛的联系，如四元数在量子力学，刚体力学方面的应用，在计算机图形图像处理和识别方面的应用，在空间定位方面的应用等。

We investigate mixed totally umbilical QR-submanifolds in a quaternionic space form and also study the pseudo-umbilical QR-submanifolds of a quaterninoic space form with some additional conditions.

考查四元数空间形式中混合型全拟脐QR子流形并研究了四元数空间形式中具有某种条件下的混合型伪脐QR子流形。

The orientation-singularity expression of the Stewart platform is deduced by using unit quaternion which can avoid singularity when using Euler angles to represent the orientation of rigid body, and then the algorithm of orientation-workspace of the manipulator at a certain position is proposed.

基于单位四元数描述的刚体姿态，避免了欧拉角等描述刚体姿态的奇异性问题，推导出Stewart机构处于给定位置时的姿态奇异解析表达式，并提出了该机构处于给定位置时的姿态工作空间算法，通过计算机仿真给出该机构处于一给定位置时姿态奇异轨迹和姿态工作空间的三维可视化描述。

与四元数空间相关的网络解释 [注：此内容来源于网络，仅供参考]

quaternion elliptic space：四元数椭圆空间

quaternion algebra 四元数代数 | quaternion elliptic space 四元数椭圆空间 | quaternion field 四元数体

quaternion hyperbolic space：四元数双曲空间

quaternion group 四元群 | quaternion hyperbolic space 四元数双曲空间 | quaternion ring 四元数环

quaternion algebra：四元数代数

quaternion algebra 四元数代数 | quaternion elliptic space 四元数椭圆空间 | quaternion field 四元数体

quaternion field：四元数体

quaternion elliptic space 四元数椭圆空间 | quaternion field 四元数体 | quaternion function 四元数函数

space of matrices：矩阵空间

space of left cosets 左傍系空间 | space of matrices 矩阵空间 | space of quaternions 四元数空间

space of quaternions：四元数空间

space of matrices 矩阵空间 | space of quaternions 四元数空间 | space of right cosets 右傍系空间

space of right cosets：右傍系空间

space of quaternions 四元数空间 | space of right cosets 右傍系空间 | space quadratic transformation 空间二次变换

Distributions：分布

类库提供了连续分布(像 正态分布 & 费歇尔分布)和 离散分布 (像 二项分布 & 泊松分布) .四元数最重要的方面之一在于它提供了一种高效的方法用于参数化(parameterize)在R3 (通常所说的三维空间)和 R4(四维空间)中的旋转(几何旋转).随机数在各种各样的应用程序中都是很有用的. Boost 随机数库 (简称 Boost.Random) 提