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To sufficiently exploit subsurface geologic distribution features to decrease the number of inverse unknowns, this paper introduces the regularblockymodel method into the inversion.

为了利用地下地质体的分布规律，减少反演所求的未知数个数，本文又提出了规则地质块体建模方法引入到反演中来。

Preconditioned method can enhance the Chahine iterative algorithm's stability. Generally speaking, to increase the inverse size classes'number will benefit the measurement precision.

本文提出了针对独立模式高反演粒级数的平滑Chahine迭代算法以及非负平滑Projection迭代算法，明显的提高了反演精度。

Chapter 5 put forward the idea of inverse extrapolation and carry out some Numerical experiments, This inverse operation can only be conducted with the stable and reversible two dimensional wavelet model.

第五章提出了逆向反演的思想并进行了数值实验，这种反演也只能在具有稳定重构能力的二维小波模型上实现。

The inverse acoustic scattering problem is an important branch of the research of the inverse problems.

声波反散射问题是反问题研究领域的一个重要分支。

From this study, the characteristics and the data/model space of the inverse problem of backscatter ionograms are investigated.

对反演问题的数据空间和模型空间以及反演问题的性态进行了较细致的研究。

Calculating formula of wave impedance is obtained by main values of the inverse tangent function of phase_shift at two neighboring frequencies and the corresponding integral character of phase_shift is denoted as the convergent criterion of wave impedance inversion.

利用复合反射系数中多个频率点的相移反正切函数主值，给出了波阻抗的计算公式，并把套管-地层环空间介质中波的相移的整、实特性作为波阻抗反演收敛的判据。

The invention refers to a method to correct universal frequency of electric communication technique, its character: make signal index quantization on the complex number of cross product, to directly reflect the quantized numerical value of tangent value and the located quadrant of imaginary and real parts, use inverse tangent ROM table to discriminate the processed result, then make loop filter and phase accumulation on the discriminated result to obtain error-correcting angle, and use digital controlled oscillator to make table look-up and quadrant adjustment to obtain correcting factor; use the relationship of trigonometric function in each quadrant to compress inverse tangent look-up table ROM and digital controlled oscillator look-up table ROM.

一种涉及电通信技术的通用频率纠正的方法，其特征在于：它采用如下步骤：经过叉积的复数进行信号指数量化处理，通过该复数虚、实部信号的指数量化结果的差值及其极性直接反映虚、实部的正切值的量化数值以及所处象限，将处理后的结果通过反正切ROM表进行鉴频，鉴频后的结果经环路滤波和相位累加，得纠偏角度，通过数控振荡器针对纠偏角度进行查表和象限调整，得到纠正因子；通过个象限之间的三角函数关系来压缩反正切查表ROM和数控振荡器查表ROM的大小，本发明资源耗费小，效率高，可极大地节省内存资源。

We present an analysis of the defect by inverse Fourier transformation.

结果发现，当且仅当反映面心有序的超结构反射被用来作反Fourier变换时，晶格条纹在反相畴界处错开。

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。

According to the algorithm of inverse transform in AVS audio video coding standard, this paper proposes a highly efficient hardware architecture for implementing the inverse transform function on FPGA.

根据AVS音视频编码标准中提出的反变换算法设计了一个基于FPGA的高效的反变换实现框架和方案。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。