multiplication-table

若矩阵A中的某一元素A[i，j]是第i行中的最小值，而又是第j列中的最大值，则称A[i，j]为矩阵A中的一个鞍点。请写出一个可确定此鞍点位置的算法（如果这个鞍点存在）。(If the matrix A, an element A [i, j] is the minimum value in the i-th row, but is the maximum value of the j-th column, then A [i, j] for the matrix A is a saddle point. Please write a algorithm to determine the position of saddle point (saddle point exists).)

this is fft header file for fast fourier transform. with this file, you can compute frequency spectrum zero to tow pi.

实现线性代数的矩阵运算的C++程序，矩阵计算器。(Linear algebra matrix operations C++ procedures matrix calculator.)

根据物理学的毕奥-萨法尔定理，计算环形线圈周围电磁场的强度。。(According to physics, Biot- Safar theorem, calculate the intensity of electromagnetic field around the circular coil. .)

用吉尔方法积分一阶微分方程组的初值问题。(Gill method with integral equations of first order initial value problem.)

用LBM结合非平衡外推方法实现的圆柱绕流，柱面边界以非平衡外推方法实现。(LBM combined with the extrapolation method of achieving non-equilibrium flow around a cylinder, cylinder boundary to achieve non-equilibrium extrapolation method.)

说明：  实现基2时域频域抽取fft算法，可输出运算后所得复序列的模值序列，并可记录显示计算所用时间(Achieve base 2 fft algorithm frequency domain extraction can be obtained after computing the output sequence of modulus of complex sequences can be used in the calculation time, records show)

编写求取下述矩阵四叉树四进制M码和十进制码程序，并将运算结果返回。 1, 1, 1, 1, 2, 2, 3, 3, 1, 1, 1, 1, 2, 2, 3, 3, 1, 1, 1, 1, 4, 4, 5, 5, 1, 1, 1, 1, 4, 4, 5, 5, 6, 6, 7, 8,13,13,14,14, 6, 6, 9,10,13,13,14,14, 11,11,12,12,15,16,19,19, 11,11,12,12,17,18,19,19 (Prepared to strike the following matrix quadtree quaternary M code decimal code and procedures, and the operation result returned. 1, 1, 1, 1, 2, 2, 3, 3, 1, 1, 1, 1, 2, 2, 3, 3, 1, 1, 1, 1, 4, 4, 5, 5, 1, 1, 1, 1, 4, 4, 5, 5, 6, 6, 7, 8,13,13,14,14, 6, 6, 9,10,13,13,14,14, 11, 11, 12,12,15,16,19,19, 11,11,12,12,17,18,19,19)

《计算理论导引》(作者)[美] Michael Sipser(译者)张立昂 王捍贫 黄雄 机械工业2000年2月第1版.pdf(Computational Theory，(Author) [America] Michael Sipser (translator) Zhang Li Ang Wang Hanpin Wong Hung Machinery Industry in February 2000 1st edition. Pdf)

说明：  研究舍入误差的例程，可以帮助初学计算方法的人。(Of rounding error in the routine that can help beginners who calculation.)