查询词典 bilinear

We develop and apply the Hirota bilinear-θfunction method,Jacobi elliptic function expansion method,linear superposition method and F-expansion method respectively to solve many 2+1 dimensional nonlinear wave models including 2+1 dimensional 2DsG equation,the coupled ZK equation,2+1 dimensional KdV equation,2+1 dimensional long wave short wave resonance interaction equation and 2+1 dimensional dispersive long wave equation,abundant Jacobi elliptic function doubly periodic solutions are derived.These solutions show various periodic wave shapes and special periodic characters.

发展和应用Hirota双线性-θ函数方法，雅克比椭圆函数展开法，线性叠加法，F-函数展开法等分别求解2+1维2DsG方程，耦合ZK方程，2+1维KdV方程，2+1维长波短波共振相互作用方程，2+1维色散长波方程，获得丰富的雅克比椭圆函数双周期波解，描述了一些周期波形态及周期特性。

The main operations is point operation in elliptic curve. Compared with previous certificateless encryption schemes related to bilinear pairing operation the scheme is more efficient on computation.

该方案主要涉及椭圆曲线上的点运算，与原有无证书加密方案中采用双线性对计算相比具有更高的执行效率。

In Chapter 4, we consider SIR epidemical models with continuous and impulsive vaccinations, the incidence is bilinear. The reproduction numbers have been obtained for those models.

在第四章，考虑了具有连续预防接种和脉冲预防接种的SIR流行病模型，分别获得了它们各自的基本再生数。

In the process of error analyses, an estimation formula of error remaining for the bilinear interpolation function is put forward and proved.

在误差分析过程中，给出了双线性插值函数误差余项的估计式，并给出了证明。

A new method of parameter estimation via Fourier series for time-delay bilinear systems is presented.

摘要本文提出了一种用Fourler级数来估计延时双线性系统模型参数的新方法。

This paper is the continuance of that of Lewalle (2001). Lewalle has made use of Gaussian wavelet to obtain the N-S equations with flexion as fundamental quantity in the infinite domain. In that work, Lapalace operator has been degraded to one-order operator. Moreover the resulted N-S equations take the form of diffusion equations with local bilinear mutual interaction kernel.

本文是Lewalle工作的继续，Lewalle利用高斯子波，得到了以弯曲度为基本量的无穷域中N-S方程，此时Lapalace算子降低为一阶导数，并且N-S方程变形为具有局部化双线性相互作用的扩散方程的形式。

A new control law to stabilize the systems is obtained via bilinear matrix inequalities involving Hadamard product.

在该模型下，控制设计问题可归结为一个包含Hadamard矩阵乘积的双线性矩阵不等式可解性问题。

The algorithm adopts classical bilinear interpolation algorithm in the area of image other than the edges;concurrently the stairway detection is further made according to the outcomes of Canny edge detection to sift out the horizontal and vertical edges which will not produce jaggies distortion;but in edge areas where severe jaggies distortion will occur when using classical algorithm,the stairway thinning-based interpolation algorithm is implemented.This interpolation algorithm keeps stairways from being enlarged when zooming out the image,hence the goal of reducing jaggies distortion is achieved.

该算法在图像的非边缘区域采用经典的双线性插值算法；同时根据Canny边缘检测的结果，进一步进行阶梯检测，滤除不会产生锯齿失真的竖直和水平边缘；而在使用经典算法会产生严重锯齿失真的边缘区域，运用基于阶梯细化的插值算法；该插值算法在放大图像的同时，抑制边缘中的阶梯被放大，从而达到减少锯齿失真的目的。

It is shown that how through the Kronecker product the model-calibration approach can be used to estimate bilinear parameters, in particular, to estimate variances and covariances.

通过Kronecker积，可把模型校正方法用于估计双线性参数，特别地，去估计方差和协方差。

Based on bilinear pairings and dynamic accumulators, a new ID-based linkable ring signature scheme was presented.

基于双线性对，并采用动态累加器技术，提出了一种基于身份的简短关联环签名方案。

"Yes, now you can give yourself airs," she said, you have got what you wanted.

"对了，您现在高兴了，"她说道，这是您所期待的。

Then the LORD said to me: Rebel Israel is inwardly more just than traitorous Judah.

上主于是对我说：＂失节的以色列比失信的犹大，更显得正义。