We have showed that the Radon transform of the cross Wigner distribution function is a separable multiplication of fractional Fourier transform of these functions.
分析了交叉魏格纳分布函数中的拉冬变换是这些函数中分数傅里叶变换的可分乘法。
Reduce Bloom by cross multiplication of reverses of fortune, from which these supports protected him, and by elimination of all positive values to a negligible negative irrational unreal quantity.
590把布卢姆凭借这些证券所避免受到的厄运相乘，并除去一切正数值，将他换算成可忽略的量、负量、无理性的量和虚量。
This article focuses on the line-line, line-region and region-region topological relations algorithm, which come down to the same question: whether there are intersections between line and line. The sweep-line algorithm was studied by many people, but has some deficiencies to be improved, in order to handle some special cases and increase program efficiency. My works as follows: rectangular envelope to reduce executive times, vector cross multiplication to determine intersection between line and line, coordinates and slope method to deal with some special cases. C program examples are showed together.(5) Finally, to prove capability and efficiency of the model and calculation method, some test systems are developed. For example, complex spatial topological relation query, parcels` exact area with the area of linear object reduced in land use, quality inspection to cadastral data according to topological rule, spatio-temporal change query of cadastral data.
将线线、线面、面面之间的拓扑关系实现的算法归结为线与线之间求交的基本问题；为处理一些特殊的拓扑关系情况，提高扫描线算法的效率，探讨了包络矩形粗滤、判断线线是否相交的矢量叉乘法、线节点重合或共线的斜率坐标判断法等改进方法；同时还设计了一种新的节点微小圆求交的算法，可应用于图斑与线状地物细分拓扑关系及地类面积的计算；（5）本文设计了实验系统，包括复杂对象的拓扑关系表达与计算程序、图斑地类面积的计算程序、基于空间拓扑关系规则的地籍数据库质量检查功能，以及时空拓扑关系和变化语义分析等原型，验证了拓扑关系表达模型和计算方法的可行性和实用性。
The amount of multiplication and addition involved in correlative computation was time consuming and required many logical cells. in this design, because the cross-correlator is designed depending on eda techinique in fpga and the cross-correlator computation is realized by digital hardware circuit, it has better real-time and higher reliability.
由于相关计算包含大量的乘法和加法运算，这些运算需要消耗大量的时间，为了满足流速测量的实时性要求，在本设计中，应用eda技术开发了一种基于fpga的互相关器，相关运算全部由数字硬件电路实现，因而具有很好的实时性和可靠性。
A Method of Generalized Stiffness and its Application in Calculating the Displacements of a Beam with Step Cross-section by Graphical Multiplication
广义Jabotinsky方程的解析解广义刚度法及其在阶梯形截面梁位移图乘计算中的应用
The culture condition as follows was found to be suitable for multiplication of PLB: liquid vibration culture, thin cross section (TCS) culture and 5 protocorm like-body of section size (see from Figure 3.1 to Figure 3.3).
各种因素对原球茎增殖的影响：液体振荡培养、薄层切割培养、5个大小的切块利于原球茎的增殖（见图3.1~图3.3）。
The cultivation of seedlings is a critical means of cross-breeding. By means of sexual hybridization and seed multiplication can achieve genetic recombination, and change the gene and genotype frequencies in the groups, which will be separated and developed to more new kinds of variability.
通过有性杂交、种子繁殖可以实现基因重组，改变群体中基因和基因型频率，可以分离筛选出更多新的变异类型。
This is followed by the first adder which sums the cross products of the complex multiplication.
其次是它的第一个加法款项跨产品的复杂的乘法。