阶乘的

A fast algorithm for calculating the inverse and Moore-Penrose inverse of the permutation factor circulant matrix is presented. Then, a fast algorithm for the product of the permutation factor circulant matrix is given. Finally, The least-square solutions of inverse problems and the optimal approximation problems for the permutation factor circulant matrix are discussed.

首先给出了一种求n阶置换因子循环矩阵的逆阵、自反g-逆、群逆、Moore-Penrose逆的快速算法，然后给出了计算两n阶置换因子循环矩阵之乘积阵的一种快速算法，最后给出了其反问题的最小二乘解的存在性定理及它的一般表示，并证明了逼近矩阵的存在唯一性且给出它的具体表达式。

Three classes of equivalent system methods which are used in finding high order flight control systems low order equivalent are studied. The first class methods are the classical frequency domain-based equivalent system methods which recommended by MIL-F-8785C and MIL-STD-1797A. Five longitudinal low order equivalent systems and fourteen lateral ones are discussed in detail and some pieces of advice are given. Also conduct an investigation in the time domain-based equivalent system methods .

研究了求取高增稳飞机的低阶等效系统的几种方法：研究了经典的频域等效系统方法，针对纵向5种、横向14种构型的低阶等效系统进行了拟配实践，并提出一些有益的看法；以频域等效系统方法为基础，提出了时域等效系统新方法；以最小二乘辨识为基础，提出了两种纵向短周期低阶等效系统时域辨识方法(等效延迟时间τ_q参与或不参与)。

This method is an improvement of existing methods to construct nearly order elliptic curves using complex multiplication. To get elliptic curves with nearly prime orders, the time complexity of this method is O , but to get elliptic curves with prime orders, the time complexity arises to O .

该算法是现有利用复乘构造近乎素数阶椭圆曲线方法的改进，利用该算法构造近乎素数阶椭圆曲线的时间复杂性为O，同时，该算法可用于构造素数阶椭圆曲线，但时间复杂性上升为O。

Discusses the multipliers integrability of second order linear differential equation by the numbers.

系统地讨论了二阶线性微分方程的乘子可积性。

This method avoids the high order matrix inverse operation in batch process of LSE,providing a more effective estimation method.

避免了最小二乘系统辨识批处理方法中的高阶矩阵求逆及最小二乘系统辨识递推算法中的循环修正，提高了计算的效率。

In this paper,a recursive least squares algorithm for frequency domain identification of non-integer order systems is presented.

本文提出了一种非整数阶系统频域辨识的最小二乘递推算法。

And then, this paper presents an algorithm of computing the left inverse or right inverse for these special rectangle matrices. In thenormal algorithms for solving these problems, we need O(m2n) multiplications ordivisions. The algorithms in this paper only need O + O(n2) multiplications ordivisions. The paper is built as follows.

常规的计算m×n阶不相容线性方程组的极小范数最小二乘解的算法所需计算量为O(m~2n)，而本文根据特殊矩阵的特殊结构，通过两种不同的构造方式给出了两类不同的计算极小范数最小二乘解的快速算法，并给出了求特殊矩阵的左逆及右逆的快速算法，它们的计算量均为O+O(n~2)。

Free. If you were holding a Mudra, Jie Yin, then you release the Mudra, San Yin, by raising the Mudra to your forehead, and then separate your hands.

自由。如果你正在结印，那麼你就散印，举印至你的额头，然后分开双手。问：《密乘初阶》第三十三页，「将诸尊汇入本尊而修之」是指什麼？

In this paper, we show that when the data matrices are $2\times 2$ and $3\times 3$-dimensional, we can transfer the problem into an optimization problem with quadratic matrix inequality constraints, based on another equivalent robust optimization problem converted from the original one.

本文表明，当数据矩阵为2乘2阶，3乘3阶矩阵时，我们可以把上述问题转化成二次矩阵不等式约束的最优化问题。

This paper considers nonlinear least squares problems,connecting new quasi-newton equations which has a higher-order curvature approximation with factorized quasi-newton method which is symmetric.

本文考虑非线性最小二乘问题，将具有更高的二阶曲率逼近的新拟牛顿方程和具有对称性的针对非线性最小二乘问题的分解方法结合起来。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。