In this paper, taking the downward continuation of potential field as an inverse problem of upward continuation, we obtain a convolution type linear integral equation for downward continuation. Making use of the orthogonal symmetry characteristic of Fourier transform matrix, and combining the principles of singular value decomposition of matrix and generalized inverse, we proposed a stable generalized inverse method for downward continuation of potential field, called wavenumber domain generalized inverse algorithm, which doesn't need the computation for inverse matrix. It resolves the instability of potential field downward continuation of large depth.
本文通过把位场向下延拓视为向上延拓的反问题，得到向下延拓的褶积型线性积分方程，再利用Fourier变换矩阵的正交对称特性，并结合矩阵的奇异值分解和广义逆原理，提出了一种稳定的不需要进行求逆运算的位场向下延拓广义逆方法——波数域广义逆算法，解决了位场大深度向下延拓的不稳定性问题。
Supposed Cartersian coordinate of joint assumed as unknown variables, and dynamic equations of motion are formulated herein for deployable space truss structures. Geometric constraint equations, relevant Jacobi matrices and derivatives are developed for three classes of holonomic geometric constraint respectively. The basis of null space and M|P generalized inverse are abtained through singular value decomposition algorithm for constraint Jacobi matrices.
本文以笛卡尔坐标系下节点自然坐标为未知量，建立了桁架结构系的基本运动力学方程，并首次推导出桁架结构中常用节点附加几何约束方程，相应约束 Jacobi矩阵及其导数矩阵，采用奇异值分解法求约束 Jacobi矩阵的零空间基和 M- P广义逆，并由矩阵缩减法建立了带约束桁架体系的运动力学方程和求解方法。
The authors derived Q value forward modeling and inverse Q filtering for the layering of seismic recordings based on the phase velocity dispersion relationship of Futterman model. Then the two methods are applied to the layering of real seismic data and the processing results show that they are of obvious efficiency over the conventional direct layering method.
作者应用Futterman模型的相速度频散关系式导出了地震记录的Q值正演模拟与反Q滤波层位标定方法，并将该方法分别应用到实际地震层位标定中，处理结果表明，这两种层位标定方法较目前常用的直接层位标定方法具有较明显的优点。
In the case where a correlation value between the copying preventive control signal which is superimposed on the image signal Si and is spectrum-spread and a PN code for inverse spreading does not exceed a predetermined threshold value, the correlation value calculated at every vertical section is added.
在叠加在该图象信号Si上的并且扩频的防止复制控制信号与用于反扩展的PN码之间在的相关值不超过预定的阈值的情况下，加上在每个垂直部分计算的相关值。
The paper studies position and pose inverse solving and positive solving and Kadang movement of 3-RPS pyramid parallel mechanism, which is a new type parallel mechanism. Layout locus of input pole length, and design configuration -. position and pose and emulate movement aided by computer. It mainly involves the following work:Analyze and compute the position and pose inverse solving of this mechanism, and discuss the possible character value of inverse solving. Set up the position and pose positive solving equation.
本文主要研究了新型的3-RPS角台并联机构的正反解位姿计算和卡当运动，对该运动的输入进行了轨迹规划，并用计算机对该机构的结构、位姿及运动进行了辅助设计和仿真，具体包括以下内容：对机构的位姿反解进行了分析与计算，并对参数的可能取值进行了讨论。
ABSTRACT In the thesis the system of equations of the tooth engagement forces was established for the Movble Sleev-Tooth Transmissin which is one of the types of Small Tooth Difference Reduction and the large, sparse and singular system of equations was successfully solved by the conjunction of theory of singular value decomposition with method of generalized inverse matrices. Distributions of contacting forces between the sleev teeth and the ring as well as between the sleev teeth and the rollers were, for the first time, found in the multi-tooth engagement construction.
本文通过对超定的套筒活齿进行系统地受力分析，建立了套筒活齿少齿差行星传动的大型总体受力方程组，并利用奇异值分解等理论对该奇异方程组进行了求解，在理论上首次解决了这种复杂的多齿啮合传动结构的受力分析问题，从而发现了各个套筒活齿和滚子的受力分布规律以及影响套筒活齿传动效率的结构原因；并对影响传动效率的结构因素进行了全面的分析和讨论；通过对套筒活齿减速机进行实验，证实了本文所提出的理论受力分析方法和分析结果的正确性。
Sometimes, the value of the printed on a flat brush wheel pressure too seriously, to gauge side must increase resistance paper La poorly in this case, you should set the oblato brush round of adjusting screw meanders by inverse rotation axis until the brush, and then press stop to pre-senile meanders turn 1~2 go, so that the brush can turn in the rotation on paper with the same ease even better.
有时，负纸版上的扁毛刷轮压得太轻，给侧规处事补充必定的阻辛而变成纸弛不推不到位，在这种环境下，答不兵扁毛刷轮的调度螺丝按逆时钟标的目的不静弹，直至毛刷轴罢手不静弹，然后按顺时钟标的目的不静弹1～2不停，使毛刷轮在纸背上能不静弹自若不离算调度好了。
The inverse kinematic model is deduced which based on the projection principle of geometry and the value of angle is worked out. What`s more, the relationship is built up between the joint space of robot and the world space.
基于几何投影原理推导出相应的逆运动学模型，求出了各个关节的角度值，建立了机器人关节空间与世界空间的映射关系。
Therefore, unit goods value and labor productivity are not inverse ratio.
因此，单位商品价值与劳动生产率不成反比。
An algorithm for detecting moving IR point target in complex background is proposed, which is based on the Reverse Phase Feature of Neighborhood of target in difference between neighbor frame images that two positions of the target in the difference image are near and the gray value s of them are close to in absolute value but with inverse sign.
基于运动点目标在邻帧差分图像中所具有的近邻反相特征，即运动点目标的两个位置相邻近、灰度值一正一负，提出一种在复杂背景下，基于红外序列图像的运动点目标检测算法。
An algorithm for detecting moving IR point target in complex background is proposed, which is based on the Reverse Phase Feature of Neighborhood of target in difference between neighbor frame images that two positions of the target in the difference image are near and the gray values of them are close to in absolute value but with inverse sign.
朱风云 ，秦世引基于运动点目标在邻帧差分图像中所具有的近邻反相特征，即运动点目标的两个位置相邻近、灰度值一正一负，提出一种在复杂背景下，基于红外序列图像的运动点目标检测算法。
The infimum and supremum of operators, and generalized inverse of operators are heated topics in operator theory and also have important value in both theory and application.
算子的确界性质和广义逆是近年来算子理论中比较活跃的一些研究课题，在算子理论的研究中有着重要的理论价值和应用价值。
And according to such relation, the Inverse Distance Power method is used to give the spatial interpolation for the image rectification accuracy, which also achieved the interpolation value in x or y directions and of the point moving accuracy.
所谓的数字纠正是在遥感影像和投影参考系统中分别选择一定数量的对应点，利用这些对应点作为控制点建立遥感影像与影像投影参考系统之间的严格的数学方程式，对影像进行纠正。
It's put forward an improved distant power inverse estimating value method considering having different character in every direction in the process of building the coal mine deposit geology model, the graphics edition and the method of calculating volume for plan area.
介绍了准格尔黑岱沟露天矿短期生产计划编制系统及其模型的建立，提出煤矿床地质模型建立过程中的一种考虑各向异性改进的距离幂次反比估值方法，以及图形编辑、计划区算量方法。
Adding this to our fixed value for a year (3.7645784) gives 6.7330613; the inverse log of this figure is 5408307 seconds.
把这个数加上我们一年的固定数值得到6.7330613，它的反对数是5408307
By using the matrix positive definite decomposition, matrix singular value decomposition generalized inverse theorem, and solving the linear matrix inequality, an explicit expression of the desired observer is derived in the light of some free parameters.
通过利用矩阵正定分解，矩阵的奇异值分解，解线性矩阵不等式和广义逆定理，根据一些自由参数所希望设计的观测器然后被导出。
The value, y, of the inverse function to the sine at argument x.
正弦函数的反函数。
The value, y, of the inverse function to cotangent at argument x.
余切函数的反函数。
In order to enhance the algorithm the astringency and the stability we make the improvement to the algorithm, and has carried on the massive experiments. The result shows in the solution heat conduction inverse problem optimization question, based on QPSO algorithm works well on heat conduction inverse problem, and prove QPSO had deteminate practical application value in the heat conduction domain.
在具体应用中为了提高算法的收敛性和稳定性对算法进行了改进，并进行了大量实验，结果显示在解决热传导反问题优化问题中，基于QPSO算法的性能优越，证明QPSO在热传导领域具有很大的实际应用价值。
Note that regularized problems are usually defined in an infinite setting and have to be discTetized for an implementation and there have been many comparatively adult methods of calculating singular system. Therefore, there is no need to avoid the calculation of singular system in inverse problems calculating of numeric value. Here TSVD Regularization Method is very simple and quite effective one.
考虑到反问题的数值计算需要将问题离散化，化为有限维的问题来进行处理，而对于有限维算子的奇异系的计算已经有了相当成熟的各种算法，因此在反问题的数值计算中没有必要避开奇异系的计算，此时TSVD正则化方法是十分简单并相当有效的正则化方法。