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They form usually a ring, but some fields may be composed of three matrices aI+bA, aI+cB, aI+dC, and of some special 2-order, even n-order matrices. It is a new type of hypercomplex number fields.

它们一般组成环,但3种矩阵aI+bA,aI+cB,aI+dC及某些特殊的二阶甚至高阶矩阵可以组成域,这是一类新的超复数系。

Based on the hypercomplex Fourier transform, a novel frequency domain watermarking algorithm for color host images is proposed.

针对彩色载体图像,提出了一种彩色图像超复数频域的水印算法。

A.Cayleys modern thought that looked matrix upon as a hypercomplex developed to the early days of the 20~ century from the end of the 19~ century. Infinite matrix theory and the matrix theory on abstract region investigated further since the development on integral equation and modern physics.

凯莱把超复数视为矩阵的思想在19世纪未至20世纪初得到发展,由于积分方程的发展以及近代物理的需要数学家们开始了对无限矩阵理论、元素属于抽象域的矩阵的研究。

The watermark data are embedded into some proper hypercomplex frequency components and their corresponding HFT coefficients are modified to fulfill the symmetry constraint. The prerequisite, the watermarked host image in spatial domain should also be transferred in red, green, and blue channels, of embedding watermark data into the hypercomplex frequency domain is obtained.

它通过对彩色载体图像进行快速超复数傅氏变换,在超复数频域选择合适频段嵌入水印,并且修改其对称系数的值,保证了嵌入水印图像仍然可以用彩色图像的红、绿、蓝三色进行传输。

The watermark is embedded in the Complex Wavelet Domain of Relative Coordinates Line.

该方法利用了Dual Tree复数小波变换的优点,比如近似的平移、旋转不变性,完美重构等,将水印嵌入相对坐标线的复数小波域中。

To extract the parameters in partial coefficients matrix of potential efficiently in silicon substrate integrated circuits, an approximated closed-form three-dimensional multilayered Green's function is derived with a modified complex fitting the exponential function method in spectral domain.

为了有效地提取硅衬底集成电路中导体单元之间的电位系数矩阵,在谱域中采用了改进的复数拟合指数函数方法,导出了三维有耗多层介质中的近似闭式格林函数。

The optimal thresholds and neighboring window sizes are determined for every subband in the wavelet domain using Stein's unbiased risk estimate, and NeighShrink is also extended from orthogonal wavelet transforms to dual-tree complex wavelet transforms in this paper.

该文运用Stein的无偏风险估计,在小波域每一个子带为NeighShrink方法确定一个最优的阈值和邻域窗口,并将NeighShrink方法从正交的小波变换推广到对偶树复数小波变换。

Next,similar to the studies of Friedland-Hersonsky inequalities in norm form and Martininequalities for discrete groups of 〓,we establish 〓 type inequalitiesfor subgroups of unitary transformation group U(1,n,C)in complex hyperbolicspace 〓 and we also give several 〓 type inequalities in the form of fgfg〓for the norm algebra 〓 in C.

其次,我们对复双曲空间〓上的酉变换群U(1,n,C)的子群建立了〓型不等式,推广了Martin的相应结果。最后,我们对复数域C上的范数代数〓建立了形如〓的〓型不等式,推广了Friedland-Hersonsky不等式。

Three types of base asphalt and six SBS were used to produce SBS modified asphalt. The interaction of SBS modified asphalt was discussed in different states between the base asphalt and SBS based on their compositions. Through the traditional tests, such as penetration, soften point and ductility, and US SHRP tests, the results indicated that influences to affect the temperature susceptibility, high and low temperature performance, aging characteristics are base asphalt, SBS types and their dosages. The functions of penetration to viscosity and complex shear modulus G~* to complex dynamic shear viscosity η~* were set up, and then theviscosity-temperature susceptibility of wide temperature span and the calculation method of low temperature viscosity were obtained."Process" evaluation criterions, high grading critical temperature T_ and low grading criticaltemperature T_ , were suggested according to the high and low temperatureperformances of SBS modified asphalt. Using the experience of Repeated Creep and Recovery Test for Binders, a new high-temperature evaluation index,modification rutting factor G~*~(-9) was obtained. The results after RTFO and PAV aging indicated that traditional tests didnt differentiate base asphalt and SBS modified asphalt, but dynamic mechanics temperature spectrum and G*-5 black chart clearly reflected the influence of aging to the SBS modified asphalt. With the IR and GPC tests, the reason of aging to the SBS modified asphalt were due to asphalt phase oxygenated and SBS phase depredated.

论文选择3种油源的基质沥青和6种SBS改性剂制备改性沥青,通过分析基质沥青和SBS改性剂的组成结构特点,得出了不同状态下SBS改性沥青的SBS与基质沥青的相互作用机理;通过针入度、软化点、延度等常规试验以及美国SHRP试验,分析了基质沥青、SBS改性剂类型与剂量对SBS改性沥青的温度敏感性、高低温特性及老化特性的影响;建立了针入度-粘度、复数模量G~*-复数粘度η~*的换算关系,得出了宽温度域的粘温指数VTS和较低温度下粘度的计算方法;通过高低温性能分析提出了&过程&评价参数高温等级温度T_和低温等级温度T_;借鉴重复恢复与蠕变试验研究成果,得到了SBS改性沥青高温评价指标改进型抗车辙因子G~*~(-9);RTFO和PAV老化后的性能试验结果表明,常规试验难以区分SBS改性沥青与基质沥青的差异,而动态力学温度谱、G~*-δ黑斑图可以反映老化作用对SBS改性沥青的影响,且通过IR试验和GPC试验得出SBS改性沥青老化是沥青相的氧化和SBS的降解共同引起的;通过不同温度下SBS改性沥青混合料的旋转压实SGC试验,根据粘度与剪变率的关系,提出用剪变率60(1/s)测试SBS改性沥青的粘温曲线,并按照0.17±0.02Pa.s和0.28±0.03Pa.s确定施工温度。

Only oneA/D converter is needed to complete complex quadrature translation and digital downconversion, get in-phase component and quadrature component in digital field, and also,after intra-pulse compression is done, the signal-to-noise ratio is raised, and inter-pulsecompression is done in digital field, and finally, high range resolution profile is got.Two-step stretch processing method for MMW high-resolution RADAR is presented.

计算并优化了毫米波雷达中频信号带通采样的最佳采样频率,应用现有的集成电路技术实现对中频信号的直接采样、用一个A/D转换器在数字域完成复数正交变换,在数字域完成下变频、获得同相信号和正交相信号、完成对子脉冲的脉内压缩、完成对脉内压缩信号的第二次脉间压缩,从而获得高分辨一维距离像。

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It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发,分析对称连杆曲线上鲍尔点的产生条件,提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品,年生产总值3000万美元,产品价廉物美、选料上乘、质量保证,深受国内外客户的青睐

The eˉtiology of hemospermia is complicate,but almost of hemospermia are benign.

血精的原因很,以良性病变为主。