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At the same level of security, the basis field of hyperelliptic curve cryptosystems is smallerthan that of ECC, and almost all protocols based on the standard DLP such as DSA andElGamal can be planted to HCC.

在同等安全水平下,超椭圆曲线密码要比椭圆曲线密码所用的基域小,且HCC可以模拟基于一般乘法群上的如DSA、ElGamal等几乎所有协议;在同样的定义域上,亏格越大(g≤4),曲线越多,所以选取用于密码中的安全曲线的余地越大。

To avoid the serious electromagnetic interferer, the analog signals are transformed to frequency pulses which are transferred to the kernel of the system. In the measure of the groove voltage, the method of float-ground is adopted to avoid the high common signal and the range switch circuit is designed to solve the conflict of the wide dynamic range and the high precision. least square Curvefit is adopted to reduce the system error.

铝电解生产现场电磁干扰非常严重,为此我们将需要测量的模拟信号就近转换为频率脉冲后再传送到控制核心;采用浮地接入方式消除槽电压信号中的共模成分;设计了量程自动切换电路以解决槽电压的动态范围宽和测量精度高的矛盾;用最小二乘法进行曲线拟和以降低测量的系统误差。

The first one is integrated by the least squares and the radical basis function interpolation, which is aimed to the slight nonlinear sensors, and under the limited increament of computation, it can make the results more precise. The second is used for serious nonlinearity and based on the moving least squares which converts the approximation generally into locally, and the result of this way is also satisfied.

对于不是特别严重的非线性,采用最小二乘拟合与径向基函数残差插值进行融合重构,可以在增加有限计算量条件下提高数据的近似精度;对于非线性较严重的传感器,为兼顾局部特性,采用移动最小二乘法进行数据重构,它通过全局近似向局部近似的转化,同样使重构结果具有满意的近似精度。

In this thesis, according the matrix forms in quantum mechanics and the experience of the author in theories and experiments we think that quantum parallelism can be understood equally as that quantum computers process the multiplication of U matrix and vectors directly.

在本文中,由量子力学中的矩阵形式并根据作者在从理论和实验工作中的个人体会,认为该原则被等价地表述为量子计算直接进行的就是U矩阵对矢量的乘法更有利于对量子算法的理解。

By using the least square method and the weighted functionmethod of nonparametric estimation together, this paper defines the wavelet estimators of β and g.

本文采用了半参数估计常用的办法之一——最小二乘法结合非参数权函数估计法定义了参数分量和非参数分量的估计,这里的权函数不是通常所采用的核权函数或近邻权函数,而是由小波方法所得到的权函数,我们称它为小波权函数。

At present the classic least square method, which is only adaptable to the data series of normal distribution, is usually adopted in statistic calculation. However, the actual series are usually pollutional distribution instead of normal distribution.

保证监测资料的可靠性是建立监控模型的基础工作,目前的统计计算一般采用经典的最小二乘法,该方法只适合于误差服从正态分布的数据序列。

Expressions are normally comprised of parenthetical expressions, and are evaluated in a certain order (from innermost to outermost, parenthesis first, then multiplication, division, addition, subtraction, et cetera).

表达式就是数学的语言,他们是返回一数据的字符组合,表达式通常是由附加说明的和被求的值在一个命令(来自圆括号里的、乘法、除法、加法、减法等)。

A high-performance modular exponentiation coprocessor, SEA, is presented here, and three novel ways are employed. First, a parallel binary modular exponentiation algorithm is used to decrease cycles, and a high radix Montgomery modular multiplication algorithm is modified to the radix based high radix Montgomery modular multiplication algorithm to increase the frequency; second when mapping algorithms to a systolic array, modular square and modular multiplication are alternatively computed to cover up the dependencies between iterations in the RBHRMMM algorithm and the bypass is used to eliminate the dependencies in the PBME algorithm; third, multipliers are split first, and then accumulations are compressed as partial products to decrease carry propagation delay in the critical path.

SEA是一种针对大数模幂的高性能协处理器,其主要采用如下3种加速方法:①采用二进位并行模幂算法和以基数长度为处理字长的高基数Montgomery算法;②将算法映射到脉动阵列处理结构,并交替计算平方和乘以掩盖RBHRMMM算法中的相关,同时应用定向技术消除PBME算法中的相关;③基於"先拆分乘法、后将累加压缩"的思想优化关键路径。

A new scheme based on Chinese remainder theorem is pr...

该方案有三个特征:(1)在不改变其它有效群成员的密钥的情况下,可以安全地增加或撤消群成员;(2 )增加或撤消的过程中只需要乘法运算,并且在撤消时群公钥的长度不变;(3)安全性是基于大数分解的困难性

And the parameters were calculated by the mathematical model, including the values of five resisters of the thermal resister network. The experimental result of the circuit, which integrated the thermal resister network, had shown that the circuits output shows less voltage drift across the whole temperature range(26℃~40℃) than before.

为使补偿网络产生的温度-电压曲线能够与所要求的曲线最大程度的拟合,导出了用阻尼最小二乘法求网络参数的数学模型,运用该模型求出了热敏网络中固定电阻的阻值。

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