分式理想,Fractional ideal

1)Fractional ideal
分式理想

2)fraction
分式
1.
Let Un and Vn be Lucas numbers,the fractional transformation sum of one kind of Lucas numbers are discussed and several identities are acquired.
设Un,Vn是Lucas数,研究了一类Lucas数分式变换之和,得到了若干恒等式。


2.
Let Un and Vn be Lucas number, the fraction sum of Lucas numbers is discussed and calculation formulas is given.
设Un,Vn是Lucas数,研究了Lucas数分式变换之和,得到了封闭形恒等式。


3.
The paper analyses fraction sum of Fibonacci and Lucas number, and obtains a number of interesting constant equations.
本文研究了Fibonacci数和Lucas数分式变换之和,得到若干有趣的恒等式。



3)continued fraction
连分式
1.
Computation of Green s tensor integrals for electromagnetic problems using Gaussian quadrature and continued fraction;
利用高斯求积和连分式展开计算电磁张量格林函数积分


2.
For this method,the solution of a nonlinear monotone function,which is very common in electromagnetic soundings,is obtained via continued fraction iteration technique.
该方法利用连分式迭代求解非线性方程技术 ,直接对均匀半空间电偶源瞬变电磁法观测的垂直磁场与电阻率的非线性方程直接求解。


3.
Newton s polynomials interpolation and Thiele s branched continued fraction interpolation have important po- sition in linear and nonlinear interpolation, respectively.
Newton插值和Thiele型连分式插值在多项式插值和有理插值中具有重要的地位,将Newton插值多项式与Thiele型分叉连分式结合起来构造三元混合型有理函数,通过引入差商和倒差商建立三元有理插值算法、特征定理和相应的证明,并给出数值例子验证算法的有效性。



4)fractional programming
分式规划
1.
Optimality condition for fractional programming on strict B-preinvex functions;
严格B-预不变凸分式规划的最优性条件


2.
We discuss the fractional programming model of maximizing the rate of return on a portfolio under risk changing with the investmant on the market whose transaction cost is the linear function of investment.
讨论了在交易成本为投资量的线性函数,及市场投资者承受风险随投资量变化的证券组合收益率最优化问题的分式规划模型,并把求解分式规划转化为求解一目标函数为线性函数简单的反凸规划的问题。



5)linear fraction
线性分式
1.
This paper gives general term formula of n order self-iteration for linear fraction by the method of matrix eigenvalue, proves that for each positive integer n3, there are infinite linear fractions of period n in self-iteration, gives period and Attractive Point of self-iteration for linear fractional faction.
应用矩阵特征值的方法推导出线性分式的 n次自迭代通项公式 ,证明了对于任意的自然数 n 3 ,存在无穷多以 n为自迭代周期的线性分式 ,给出了线性分式函数的自迭代周期和吸引子的较全面的刻画 。


2.
Wang Ya-ling proved that for each positive integer n≥3,there is a linear fraction of period n in self-iteration.
王雅玲[1]证明:对于任意的自然数,存在一个线性分式以它为自迭代的周期。



6)fully differential
差分式
1.
In order to restrain odd-order harmonic distortion and common model disturbing signal effectively, a MOCCⅡ-based filter circuit with high-order fully differential leapfrog-type current mode is presented and corresponding design scheme is proposed.
为了更有效地抑制偶次谐波及共模干扰信号,提出了基于MOCCⅡ的高阶差分式跳耦结构电流模式滤波器电路及设计方法。


2.
A fully differential second-order current mode MOCCII based filter with multi-function is presented in the paperThe second-order low-pass, band-pass and high-pass filters can be realized simultaneously.
本文提出了基于MOCCII的差分式二阶多功能电流模式滤波器电路。



参考词条
Gauss积分式 Clausius积分式 PRF连分式 拆分式 互质分式 Laplace微分式 外微分式 分式环 二分式 分式型 分式函数 镐型截齿 区域尺度应用
补充资料：分式理想


分式理想
fractional ideal

　　分式理想I加浏妞因记印.;几一06…八ea，] 交换整环R的分式域K的形如Q二a一’I的子集Q，其中a任R，a笋0，I是R的理想.换句话说，Q是域K的一个R子模，其全体元素有一个公分母，即存在a“R，a沪0，使得对所有的x任Q，都有ax〔R.全体分式理想对于乘法构成一个以R为么元的半群吸.对于，、创叻日环(D司d心nd山呜)，而且仅对于这种环，这个半群是群.半群A的可逆元素称为可逆理想(访代币-比记已习).任一可逆理想在R上有有限基.
　　
说明：补充资料仅用于学习参考，请勿用于其它任何用途。


分式理想,Fractional ideal