多线性的

According to algebraic property that a direct sum of Galois fields is isomorphic to a finite ring,the linear block code for multiplexing systems is proposed.

依据有限域直和与有限环同构的代数性质，对多路复用系统构造线性分组码。

First it produces the pulse signal by the multivibratorwhich is consisted of 555 timer and send in the detecting coil to form the alternating magnetic field, then it asopts UGN3503 linear half-effect as prode to the magnetic field change into the voltage signal change,after enlargement electric circuit and peak value examination electric circuit,the signal be treated to send into ADC0809 modulus converter change moduluses, then the digital signal after the modulus converter is changed is sent into AT89C51one-chip computers afterwards, after the digital filter, AT89C51one-chip computers afterwards compares the data to the reference voltage and judges whether to have detected the metal and alarm.

这个系统是以AT89C51单片机为核心，首先由555定时器构成多谐振荡器产生脉冲信号送入探测线圈以形成交变磁场，然后经过线性霍尔器件UGN3503将磁场变化转换为电压信号的变化，经过放大电路和峰值检测电路，经数模转换之后输入到单片机中，由单片机对数据进行软件滤波之后，与基准值比较之后，判断是否存在金属和报警显示。

Using SUSAN formed SIFT and ladder-image pyramid structure to achieve the same scale,new algorithm establish a unified set of over-determined equations of all match points.The over-determined linear equations coefficient matrix can be simplified to drop dimension,so simplify the structure of the augmented matrix and whose dimension is reduced to half.

研究了一种多目标识别算法，该算法用SUSAN角点形成SIFT特征点，采用阶梯图像金字塔结构实现尺度不变，为所有匹配点建立统一的超定线性方程组并对该方程组系数矩阵进行简化使其维数降低一半，得到增广矩阵。

The main theory results includes:(1) Using the properties of Hilbert transform, perfectly reconstruction and new type of lifting scheme, a new type of dual-tree binary coefficients complex wavelet with linear phase is achieved.(2) For linear systems that can be diagonalized by GFT and DST-II matrices, an efficient MGM method is proposed, convergence is proved.(3) We discuss the algebraic structure when Toeplitz matrix is transformed by multi-band wavelet,show that Toeplitz matrix is composed of generating function is transformed to a band and sparse matrix when wavelet applied to this matrix, based on the above results, an efficient solution of Toeplitz equations is obtained, and the computational complex is O,where N is the order of matrix.

理论成果主要包括：(1)对于对偶树二进制系数复数小波，利用Hilbert变换对性质、完全重构条件并结合新的提升格式构造研究了含参系数多进制小波构造方法，作为特例得到具有线性相位的对偶树二进制系数复数小波构造方法；(2)对于广义离散傅立叶变换与正弦变换对角化系统，提出了高效、快速的多重网格算法，理论上证明了算法的收敛性；(3)研究了Toeplitz矩阵在多进制小波变换下的代数结构，验证了多项式生成函数构成的Toeplitz系统在小波变换下的稀疏带宽性质，从而建立基于小波变换求解Toeplitz系统的快速求解方法，运算量级控制在O，其中N为系统的阶。

The control problem of bilinear systems with multiple objectives is studied.

摘要研究了双线性系统的多目标控制问题。

In the second part,we studyboth the bilinear and the biquadratic coupling in the magnetic metallic multilayerswith the Anderson s-d mixing model.

在第二部份中我们使用Anderson s-d混合模型研究了磁性金属多层膜中的双线性和双二次耦合。

The Six Sigma Black Belt will be able to conduct simple and multiple linear regression.

6西格玛黑带应能进行简单的或多次线性回归。

Height or speed influenced the shape and size of drip bloodstain.

结果：在静态条件下，滴落血迹，多呈圆形，其周围有毛刺状突起；7种介质上滴落血迹的大小与滴落高度呈线性关系，可得出回归方程。

Then the definition of boundary value matrix for multi-multiplication interval linear systems is proposed.

对于多乘性区间线性系统，给出边界值矩阵的定义。

The kernel of the structure is a lower speed linear feedback shift register together with several high speed time-division multiplexers arranged hierarchically These new structures have much higher speed compared with that of other schemes proposed before.

该结构的核心是一个低速的线性反馈移位寄存器和一些分层排列的高速时分多路器。这种新的结构比作者以前提出的各种生成结构的生成速度都要高得多。

By the time of its fall, most of the prisoners were writers who had written against the corruptions of the government.

到它被攻陷的时候，里面多数的犯人是写了反对政府贪污文章的作家。

The most obvious variation to ovum morphological character was that the color was changed from light green to sepiaceous in embryonic development, and all the ovums were almost hatched after 96h.

在胚胎发育过程中卵的形态特征最明显的变化是颜色从淡绿到深褐色，卵在发育96h后卵基本全部孵化。