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Using triple integral equation based on scalar Green function for forward modeling transient electromagnetic response to a 3 D anomalous body, a frequency response of electromagnetic field component has been evaluated first on frequency domain, then the evaluated results has been transformed into time domain by using fast numeric filtering algorithm.

用基于张量格林函数的体积分方程对三维异常体进行瞬变电磁响应的正演模拟,首先在频率域内计算电磁场分量的频率域响应;然后利用快速数字滤波技术将计算结果转换到时间域。

If physical quantity is vector quantity it must obey the addition rule of vector quantity, that is to say, when two vector quantities is added, its result is not influenced by adding order.

物理量又分为标量、矢量和张量,若物理量是矢量,它应服从矢量的加法法则,即两个矢量相加时,相加次序不影响它的结果,由A→+B→=B→+A→所得到的最终结果相同。

Based on vector algebra method and using finite rotation tensor, a kinematic model for suspension guiding mechanism is established, and the sensitivity analysis of hard-points is carried out.

采用有限转动张量,结合矢量代数法,建立了悬架导向机构的运动学数学模型,并对硬点作灵敏度分析。

Impedance vector decomposition and static correction are performed to those site data which have local distortion and static shift, respectively.

对发生局部畸变和静位移测点的数据分别进行了阻抗张量分解和静效正。

Methods Formalin-fixed rat and cat brains was examined on a 3.0 Tesla MR scanner with a quadrature wrist joint coil using single shot echo planar diffusion tensor imaging. Observing how to place brain tissue could decrease geometry deformation of DTI comparing T2WI.

方法运用3T磁共振扫描仪和正交腕关节线圈,采用单次激发回波平面扩散张量成像序列扫描猫、大鼠脑标本,观察何种放置方法获得的DTI图像相对于常规T2加权图像有最小的几何变形。

Based on the extended Huygens-Fresnel principle and the quadratic approximation of phase structure function, we have derived the analyticl expression of the spatial degree of coherence for partially coherent flattened beams propagating through the slant turbulent atmosphere with the help of tensor integral, then analyzed the effects of different zenith angle, propagation distance, coherence of source and outer scale of turbulence on the spatial degree of coherence on the receiver.

基于广义惠更斯-菲涅耳原理和相位结构函数的平方近似,运用张量积分的方法导出了部分相干平顶光束通过斜程湍流大气传输后接收面光束空间相干度的解析表达式,分析了不同天顶角、传输距离、光源相干性以及湍流外尺度对接收面光束空间相干度的影响。

Objective To explore the clinical value of MRI and MR diffusion tensor imaging in amyotrophic lateral sclerosis.

目的 探讨常规MRI检查和MR扩散张量成像新技术在肌萎缩侧索硬化症中的临床应用价值。

Next, the Bandelet transform is taken on each directional subband. The proposed multidirectional and multiscale transform with critical sampling can represent the geometrical features such as edges and texture more sparsely, which is of great benefit to image compression.

原始的Contourlet变换有大于1的冗余度而不适于图像压缩的要求,采用传统的张量积小波变换取代其中的拉普拉斯金字塔式变换可获得非冗余的变换形式[8],Bandelet变换是一种基于图像边缘的变换方法,它能自适应地跟踪图像的几何正则方向。

Materials and Methods: Six patients with left frontal lobe tumors (4 gliomas, 1 germinoma, 1 intra-axial cavernoma) close to Brocca and Wernicke language areas were studied. BOLD and DTI were performed on a 3.0T magnet GE Signa Excite~(? HD_X, BOLD using the word association paradigm developed in Part I and DTT technique developed in PartII. Language activation maps and fiber tracts were superimposed upon high resolution T1 weighted anatomic images of the brain for displaying the relationship between tumor, language functional areas and white matter tracts.

材料和方法:使用GE 3.0 T Singa Excite~ HD_x超导磁共振成像系统,对6例左侧语言相关脑区肿瘤(Ⅲ-Ⅳ级胶质瘤1例,Ⅱ级胶质瘤3例,生殖细胞瘤1例,海绵状血管瘤1例)行BOLD-fMRI及扩散张量成像扫描,BOLD应用语义相关判断作为任务刺激,所有数据进行离线后处理,应用AFNI软件处理BOLD图像,观察语言功能皮层的激活;DTT采用日本东京大学的Volume-one1.56和diffusion TENSOR Visualizer 1.5进行纤维束成像处理。

In Chapter Six,we translate the equation of the iterative step of nonsmooth Newton-type method for nonlinear SDP into the conversional linear equations by the tensor technique. By using the equivalency conditions in Chapter Five, we establish the local convergence of this method.

在第六章中,我们通过张量技术把非线性半定规划问题的非光滑牛顿型法迭代步方程转化为一般的线性方程组,并利用第五章中的等价性结论分析了这种方法的局部二次收敛性。

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