平方根的

The traditional Givens rotation algorithm involves root computation that needs more hardware resources, a Givens rotation algorithm without root and division computation is presented. And, combined with special structure of input signal matrix, a interference suppression algorithm with low computation is proposed. The narrowband interferences are modeled as autoregressive process and digital signal.

传统Givens旋转算法涉及平方根运算，要消耗较多硬件资源或需要多次循环来实现，为此，提出一种无平方根与除法运算的Givens旋转算法，并结合信号输入矩阵的特殊结构，给出一种低复杂度的干扰抑制算法，将窄带干扰建模为自回归过程以及数字窄带信号。

Through the decompositions to common-shot gathers and common-offset gathers, one can obtain common p, plane wave gathers and common P plane wave gathers which are suitable to the single square root extrapolation equation and the double square root extrapolation equation, respectively.

通过对共炮点道集和共偏移距道集地震数据的平面波分解，分别得到适用於单平方根波场外推方程和双平方根波场外推方程的共P平面波道集和共P平面波道集。

In order to solve the problem,We proposed a simple formula for computing paraxial travel time of single-way wave operator. The formula is based on the forward and inverse transform between time-space domain to frequency-wavenumber domain and from vector field to exponential manifold. The travel time are expressed as polynomials of the horizontal offset between the two points, and the single-square-root operator in frequency-wavenumber domain are expressed as polynomials of wavenumber. Coefficients of travel time polynomials and that of single-square-root operator are related each other and calculated by Lie algebraic integrand, exponential map and the saddle-point method.

针对此，基于时间空间域到频率波数域和向量场到指数流形上的正反变换，提出了计算单程波算子旁轴走时的简便公式，将走时表示成空间变量(地面点到地下相点的水平距离)的多项式，将频率波数域单平方根算子表示成波数的多项式，运用Lie代数积分、指数映射和鞍点法将走时多项式的系数与单平方根算子的系数联系起来，运用单平方根算子的系数计算走时多项式的系数。

In order to solve the problem, We proposed a simple formula for computing paraxial travel time of single-way wave operator. The formula is based on the forward and inverse transform between time-space domain to frequency-wavenumber domain and from vector field to exponential as polynomials of wavenumber. Coefficients of travel time polynomials and that of single-square-root operator are related each other and calculated by Lie algebraic integrand, exponential map and the saddlepoint method.

针对此，基于时间空间域到频率波数域和向量场到指数流形上的正反变换，提出了计算单程波算子旁轴走时的简便公式，将走时表示成空间变量（地面点到地下相点的水平距离）的多项式，将频率波数域单平方根算子表示成波数的多项式，运用Lie代数积分、指数映射和鞍点法将走时多项式的系数与单平方根算子的系数联系起来，运用单平方根算子的系数计算走时多项式的系数。

This paper presents in detail principal theory used to solve linear unbiased least variance estimation problem using Givens-Gentleman orthogonal transformation without square root computation and applies the theory to three stage-multiarc estimation.

本文详细介绍了利用不求平方根的Givens-Gentleman正交变换解线性无偏最小方差估计问题的基本原理以及这种方法在卫星激光测距三级复弧估计技术中的具体应用，给出了计算估值协方差的一组新的公式。

Terminology: The positive square root of s2 is called standard deviation, and the positive square of is called standard error.

定义术语： s2 正的平方根称为标准偏差，正的平方根称为标准误差。

Based on the specific relations of graphs and line graphs,a necessary and sufficient condition of square root graphs is obtained.

应用图与线图之间的特定联系，得出了平方根图的一个充要条件，进一步完善了平方根图的刻画。

An extended kalman filter adaptive algorithm is presented in combination with the extended kalman filter and the current statistical model. A root square unscented kalman filter adaptive algorithm is presented in combination with the root square unscented kalman filter and the current statistical model.

另外将经典的推广卡尔曼滤波与当前统计模型相结合，推导了推广卡尔曼滤波自适应跟踪算法；将基于采样策略的平方根无迹卡尔曼滤波与当前统计模型相结合，推导了平方根无迹卡尔曼滤波自适应跟踪算法。

The traditional Givens rotation algorithm involves root computation which need more hardware resources, the paper presents a Givens rotation algorithm without root and division computation, combined with the special structure of the input signal matrix, a interference suppression algorithm with low computation is also proposed.

传统Givens旋转算法涉及到平方根运算，这种运算要消耗较多硬件资源或需要多次循环来实现，文中给出一种无平方根与除法运算的Givens旋转算法，并结合信号输入矩阵的特殊结构，给出一种低复杂度的干扰抑制算法。

Intel has developed a set of recommended algorithms for performing non-IEEE floating-point division, square root, reciprocal, and reciprocal square root operations on the Intel Itanium architecture.

Intel为在Intel Itanium 体系结构上执行非IEEE浮点的除，求平方根，倒数，倒平方根运算而开发了一套推荐的算法。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。