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测量一组类下三角矩阵的质量和频率n=m+1

发布时间：2025/4/5 编程问答 60 豆豆

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假设每张图片都有频率和质量两个属性，其中频率和点的分布有关，质量和点的数值的大小有关。

本文就通过实验的办法测量类下三角矩阵的频率和质量有哪些关系。

《测量一组对角矩阵的频率和质量》中的对角矩阵指的是满足n=m的矩阵

《测量一组反对角矩阵的频率和质量》中的反对角矩阵指的是满足n+m=9的矩阵

本文的类下三角矩阵指的是满足n=m+1的矩阵。

实验过程

制作一个带一个3*3卷积核的神经网络，测试集是mnist的0和1图片集，将28*28的图片缩小成9*9，隐藏层30个节点所以网络的结构是

这个网络分成两个部分左边的是让mnist 0向1,0收敛，右边的是让mnist 1向 0,1收敛。但是让左右两边的权重实现同步更新，实现权重共享。相当于将两个弹性系数是k的弹簧并联得到一个弹性系数为2k的弹簧的过程，

将上图简写成

S（mnist0）81-（con3*3）49-30-2-（1,0）

S（mnist1）81-（con3*3）49-30-2-（0,1）

w=w，w1=w1,w2=w2

进一步简写成

d2（mnist0,1）81-con（3*3）49-30-2-（2*k） ,k∈(0,1)

这个网络的收敛标准是

if (Math.abs(f2[0]-y[0])< δ && Math.abs(f2[1]-y[1])< δ )

本文尝试了δ从0.1到1e-6在内的22个值，训练集是mnist0和1的前4999张图片，

具体进样顺序
进样顺序	迭代次数
mnist 0-1	1	判断是否达到收敛
mnist 1-1	2	判断是否达到收敛
梯度下降
mnist 0-2	3	判断是否达到收敛
mnist 1-2	4	判断是否达到收敛
梯度下降
……
mnist 0-4999	9997	判断是否达到收敛
mnist 1-4999	9998	判断是否达到收敛
梯度下降
……
如果4999图片内没有达到收敛标准再次从头循环
mnist 0-1	9999	判断是否达到收敛
mnist 1-1	10000	判断是否达到收敛
……
达到收敛标准测量准确率

测试集中有980个0和1135个1.将整个过程重复199次，取平均值，用这中方式得到的迭代次数n，用n12表示。

再用同样的办法做两个网络

d2（mnist x,0）81-con（3*3）49-30-2-（2*k） ,k∈(0,1)

意思是用同样的网络分类mnist的0和一张x图片，让0向1，0收敛，让x向0，1收敛，得到的迭代次数用nx0表示

d2（mnist x,1）81-con（3*3）49-30-2-（2*k） ,k∈(0,1)

用同样的网络分类mnist的2和一张x图片，让x向1，0收敛，让1向0，1收敛，得到的迭代次数用nx1表示

这张图片x就是一个9*9的二维数组

double [][]conx=new double[9][9];

for(int n=0 ;n<9;n++){

for(int m=0 ;m<9 ;m++){

if(n==m+1){

conx[n][m]=d;

} } }

本文分别让x=0.1，0.2…1，也就是计算了10组nx0和nx1。

现在有了3个网络

A:d2（mnist0,1）81-con（3*3）49-30-2-（2*k） ,k∈(0,1)

B:d2（mnistx,0）81-con（3*3）49-30-2-（2*k） ,k∈(0,1)

C:d2（mnistx,1）81-con（3*3）49-30-2-（2*k） ,k∈(0,1)

根据前面的大量实验n01，nx0，nx1可以用两个方程组去计算

因为测量了10组d因此可以得到10组ωx，ω0, ω1,mx,m0,m1,mx0,mx1,m01,k的数据

实验数据

d2（mnist x,0）81-con（3*3）49-30-2-（2*k） ,k∈{0,1}的数据

包括迭代次数表格

平均准确率表格

最大准确率表格

耗时共4个表格

最终是用迭代次数作为决定参数去比较相互的关系，其他的三个表格仅用于描述网络性能。

xx0	3	2	1	0.9	0.8	0.7	0.6	0.5	0.4	0.3	0.2	0.1
δ	迭代次数n	迭代次数n	迭代次数n	迭代次数n	迭代次数n	迭代次数n	迭代次数n	迭代次数n	迭代次数n	迭代次数n	迭代次数n	迭代次数n
0.5	16.8593	14.60804	16.70352	16.31156	16.10553	17.25628	13.65327	17.21106	18.21106	15.06533	17.05528	15.68844
0.4	499.2513	622.598	948.3769	996.0251	1085.633	1085.764	1155.935	1206.206	1384.166	1305.744	1366.116	1473.513
0.3	578.4623	769.1106	1206.407	1249.573	1263.281	1312.97	1401.362	1491.221	1559.201	1586.598	1638.92	1774.307
0.2	674.6683	885.5829	1364.648	1407.201	1500.397	1538.025	1570.116	1695.814	1737.643	1832.94	1911.131	1929.925
0.1	831.3317	1055.482	1503.131	1642.94	1647.925	1800.106	1821.352	1895.452	2030.327	2066.518	2191.261	2198.337
0.01	1660.337	1894.226	2394.246	2399.452	2430.618	2539.995	2610.889	2736.457	2803.362	2902.317	3021.523	2977.211
0.001	5010.085	4786.317	4129.613	3916.186	4022.367	4040.005	3927.04	3923.251	3986.92	3969.884	4097.985	3985.372
1.00E-04	20889.22	16239.91	8938.899	8172.005	7363.201	7161.171	6827.935	6135.503	6109.754	5685.633	5652.095	5668.116
9.00E-05	22827.87	17400.37	9308.447	8747.05	7674.176	7314.638	6820.025	6322.327	6003.01	5759.402	5807.523	5789.432
8.00E-05	24222.44	18319.48	9892.045	9227.744	8349.653	7450.417	7008.246	6500.327	6296.276	6036.608	5884.508	5967.905
7.00E-05	28155.15	19718.17	10722.29	9221.482	8638.869	8270.477	7080.889	6579.724	6500.548	6110.98	6193.231	6248.246
6.00E-05	29972.55	22186.49	11092.69	9839.101	9226.91	8264.176	7611.342	7035.995	6624.879	6233.412	6090.427	6169.633
5.00E-05	34241.67	24507.63	11852.92	10642.72	10105.04	8749.985	7887.281	7168.508	6945.503	6457.231	6358.608	6378.337
4.00E-05	41034.68	28383.2	13515.53	12204.35	10019.78	9434.126	8658.085	7791.07	7218.648	6695.01	6776.327	6743.09
3.00E-05	47542.95	33138.69	15152.27	13061.13	11636.97	10486.88	9170.95	8571.412	7419.543	7553.221	7030.709	6900.829
2.00E-05	64815.17	43387.53	18285.01	15551.34	13115.4	12059.9	10233.12	9261.573	8722.628	8013.884	7810.266	7617.995
1.00E-05	110475.7	66517.49	24419.72	20741.8	18498.48	15508.23	13287.06	11262.1	9952.357	9250.367	9033.09	8774.487
9.00E-06	118321.7	74077.69	25161.47	21850.95	20535.4	15979.6	13037.05	11806.12	10425.16	9471.623	9108.166	9089.03
8.00E-06	134138.3	78640.24	26119.48	23989.35	20066.72	16834.16	14015.96	11842.11	10730.96	9537.633	9370.799	9102.809
7.00E-06	139605.1	88628.01	28379.58	24640.63	18954.07	17258.22	14787.09	12669.67	11061.28	10238.02	9426.698	9493.653
6.00E-06	160404.2	100091.3	31249.69	25936.41	21341.72	19679.85	15408.82	13465.37	11383.31	10642.52	9908.387	9805.332
5.00E-06	183593.8	109698.4	33126.35	29130.5	22354.8	19053.38	16050.55	14077.98	12044.12	10818.8	10166.05	10473.86
4.00E-06	212449.8	134476.3	40608.56	33624.42	25423.72	22719.42	17432.9	15101.65	12856.07	11615.7	10901.65	10729.31
3.00E-06	262447.5	157937.7	45608.1	38669.42	28938.41	25093.01	20147.58	16692.3	14042.63	12647.95	11859.32	11554.14
2.00E-06	361448.6	208133.2	58309.75	46001.42	34562.49	29669.08	21940.73	17890.48	16268.25	14183.72	12547.48	12511.71
1.00E-06	652447.4	333299.1	79219.66	64389.22	48945.62	38440.64	29726.72	23569.61	19451.45	16397.37	15307.21	15674.3

xx0	3	2	1	0.9	0.8	0.7	0.6	0.5	0.4	0.3	0.2	0.1
δ	平均准确率p-ave	平均准确率p-ave	平均准确率p-ave	平均准确率p-ave	平均准确率p-ave	平均准确率p-ave	平均准确率p-ave	平均准确率p-ave	平均准确率p-ave	平均准确率p-ave	平均准确率p-ave	平均准确率p-ave
0.5	0.48739	0.50251	0.501743	0.505841	0.507749	0.504299	0.50313	0.501227	0.501736	0.506414	0.522078	0.507298
0.4	0.463595	0.463661	0.471084	0.468653	0.466218	0.486967	0.485128	0.487261	0.502788	0.499198	0.507695	0.514993
0.3	0.465217	0.463424	0.4984	0.501971	0.53221	0.542604	0.577892	0.594911	0.616826	0.639464	0.687791	0.683876
0.2	0.464105	0.470613	0.530763	0.538945	0.550072	0.569438	0.630227	0.653635	0.69226	0.728087	0.755658	0.789132
0.1	0.465928	0.471799	0.53608	0.537339	0.575041	0.63854	0.654533	0.689915	0.738242	0.795937	0.819176	0.827692
0.01	0.465664	0.465519	0.535978	0.555876	0.600456	0.644872	0.664174	0.717999	0.729382	0.746693	0.7537	0.795509
0.001	0.463832	0.467871	0.524324	0.558155	0.583221	0.587605	0.587778	0.635741	0.653262	0.686316	0.705357	0.705594
1.00E-04	0.463357	0.470304	0.493543	0.502394	0.529879	0.523644	0.547028	0.55695	0.601347	0.629842	0.645264	0.659237
9.00E-05	0.463357	0.464509	0.486425	0.494534	0.525528	0.525657	0.561883	0.560258	0.589415	0.613861	0.621193	0.642375
8.00E-05	0.463416	0.464832	0.490243	0.494228	0.522915	0.522074	0.551336	0.568433	0.575074	0.618373	0.626596	0.637889
7.00E-05	0.463357	0.465006	0.496166	0.518324	0.511955	0.522155	0.545674	0.570384	0.5785	0.623351	0.617081	0.624795
6.00E-05	0.463357	0.464341	0.501622	0.507331	0.523209	0.546852	0.553838	0.572011	0.594706	0.609261	0.617618	0.651703
5.00E-05	0.463357	0.465077	0.497618	0.505677	0.500177	0.521492	0.552415	0.54991	0.617059	0.61255	0.625116	0.647904
4.00E-05	0.463357	0.464248	0.494684	0.49898	0.516878	0.537969	0.543208	0.57385	0.610497	0.641097	0.615869	0.627884
3.00E-05	0.463357	0.464317	0.498968	0.50587	0.512164	0.542749	0.552132	0.579087	0.627357	0.617946	0.643418	0.64813
2.00E-05	0.464714	0.463576	0.488102	0.491624	0.524702	0.532248	0.562524	0.579757	0.611922	0.589786	0.628219	0.653148
1.00E-05	0.463357	0.463835	0.485479	0.498811	0.508623	0.520251	0.539435	0.544448	0.589855	0.602844	0.627939	0.599691
9.00E-06	0.463357	0.463359	0.485163	0.502223	0.500388	0.517384	0.547311	0.58568	0.596869	0.591931	0.600782	0.605006
8.00E-06	0.463357	0.463402	0.493864	0.487656	0.514967	0.519047	0.544519	0.565658	0.591912	0.603013	0.621127	0.626188
7.00E-06	0.463357	0.465241	0.48546	0.487399	0.508215	0.505575	0.526647	0.548014	0.596106	0.580807	0.583002	0.602706
6.00E-06	0.464098	0.463481	0.481141	0.485707	0.49831	0.517811	0.529411	0.545044	0.582641	0.586669	0.621882	0.579636
5.00E-06	0.463357	0.463421	0.47574	0.489832	0.506585	0.521283	0.540235	0.568089	0.574832	0.593461	0.619884	0.601098
4.00E-06	0.463357	0.4634	0.477703	0.485655	0.502959	0.499666	0.530157	0.577094	0.584345	0.588265	0.604407	0.612015
3.00E-06	0.46339	0.463471	0.475997	0.490925	0.498226	0.504088	0.52134	0.541808	0.587346	0.60331	0.621904	0.614303
2.00E-06	0.463359	0.464913	0.47392	0.485304	0.498735	0.500621	0.534761	0.559904	0.559925	0.606455	0.630652	0.615543
1.00E-06	0.463357	0.463516	0.467282	0.479133	0.483294	0.499421	0.53061	0.549699	0.553776	0.582285	0.621543	0.618865

平均准确率随着x的减小而增加，表明x越小得到的矩阵呢越接近图片mnist0

xx0	3	2	1	0.9	0.8	0.7	0.6	0.5	0.4	0.3	0.2	0.1
δ	最大准确率p-max	最大准确率p-max	最大准确率p-max	最大准确率p-max	最大准确率p-max	最大准确率p-max	最大准确率p-max	最大准确率p-max	最大准确率p-max	最大准确率p-max	最大准确率p-max	最大准确率p-max
0.5	0.800473	0.804255	0.807565	0.860993	0.773995	0.915839	0.830733	0.792908	0.791962	0.922459	0.955083	0.918203
0.4	0.510638	0.522931	0.932861	0.905437	0.585816	0.976359	0.964539	0.977305	0.933806	0.975414	0.96643	0.926714
0.3	0.833097	0.47234	0.984397	0.982033	0.994799	0.995745	0.990071	0.995272	0.993853	0.998109	0.99669	0.997636
0.2	0.612293	0.985816	0.983452	0.998109	0.998582	0.997163	0.998109	0.998582	0.998582	0.998109	0.997163	0.997163
0.1	0.967376	0.970213	0.987707	0.995272	0.995745	0.998582	0.995745	0.998109	0.998582	0.99669	0.997636	0.997163
0.01	0.743735	0.782506	0.993853	0.995745	0.997636	0.998109	0.997163	0.997636	0.996217	0.995272	0.997636	0.997163
0.001	0.556974	0.918203	0.997636	0.993853	0.997163	0.997636	0.998109	0.997163	0.998109	0.99669	0.99669	0.997163
1.00E-04	0.463357	0.846809	0.952719	0.945154	0.982979	0.985816	0.991017	0.977305	0.998109	0.996217	0.99669	0.99669
9.00E-05	0.463357	0.593853	0.92104	0.992435	0.991962	0.961702	0.974468	0.991962	0.997636	0.99669	0.995745	0.996217
8.00E-05	0.474704	0.702128	0.910638	0.995272	0.993853	0.972104	0.998109	0.997636	0.992435	0.997163	0.997636	0.998109
7.00E-05	0.463357	0.736643	0.970686	0.965012	0.961702	0.991962	0.986288	0.98818	0.998109	0.998109	0.993853	0.998109
6.00E-05	0.463357	0.650591	0.967376	0.930496	0.974468	0.989125	0.989598	0.996217	0.997163	0.995745	0.998582	0.997636
5.00E-05	0.463357	0.798582	0.930969	0.989125	0.997636	0.986288	0.995745	0.984397	0.998582	0.997636	0.998109	0.995745
4.00E-05	0.463357	0.554137	0.948463	0.932861	0.993853	0.987234	0.998109	0.996217	0.994799	0.997636	0.998109	0.99669
3.00E-05	0.463357	0.617494	0.971631	0.98818	0.987707	0.979196	0.996217	0.990544	0.997636	0.997163	0.998109	0.997636
2.00E-05	0.733333	0.48747	0.975414	0.931915	0.970213	0.987234	0.986761	0.991017	0.997636	0.994326	0.993853	0.997163
1.00E-05	0.463357	0.52766	0.959338	0.964539	0.991489	0.981087	0.998109	0.996217	0.993381	0.997636	0.996217	0.995272
9.00E-06	0.463357	0.46383	0.949882	0.956501	0.986761	0.980142	0.990544	0.994326	0.993381	0.997636	0.997163	0.99669
8.00E-06	0.463357	0.468558	0.968322	0.956028	0.985816	0.989598	0.990071	0.99669	0.98818	0.99669	0.997636	0.991489
7.00E-06	0.463357	0.835934	0.913948	0.971631	0.974941	0.989125	0.976359	0.998582	0.99669	0.997636	0.992908	0.996217
6.00E-06	0.610875	0.47896	0.955083	0.964066	0.940898	0.980615	0.983452	0.98818	0.996217	0.99669	0.99669	0.997163
5.00E-06	0.463357	0.474232	0.765012	0.990071	0.98156	0.998109	0.990544	0.98818	0.99669	0.991962	0.99669	0.997163
4.00E-06	0.463357	0.470922	0.9513	0.934279	0.987234	0.951773	0.976359	0.990544	0.996217	0.99669	0.997163	0.98818
3.00E-06	0.469976	0.48227	0.947518	0.990544	0.977305	0.972577	0.982506	0.983452	0.989125	0.995745	0.997636	0.99669
2.00E-06	0.46383	0.767376	0.806619	0.974941	0.977778	0.938534	0.989598	0.996217	0.991017	0.996217	0.998109	0.99669
1.00E-06	0.463357	0.491253	0.651537	0.906383	0.974941	0.975414	0.965485	0.970686	0.989125	0.998109	0.99669	0.995745

xx0	3	2	1	0.9	0.8	0.7	0.6	0.5	0.4	0.3	0.2	0.1
δ	耗时min/199次	耗时min/199次	耗时min	耗时min	耗时min	耗时min	耗时min	耗时min	耗时min	耗时min	耗时min	耗时min
0.5	2.286867	2.319517	3.664333	2.521083	2.627017	2.5332	2.545367	2.6493	3.111517	0.624867	3.2116	2.260217
0.4	2.5249	2.64225	4.321483	3.078183	3.3515	3.16575	3.192983	3.37025	4.057767	3.836333	4.116317	3.051233
0.3	2.57445	2.721317	4.531367	3.222	3.443917	3.2946	3.360867	3.546333	4.179583	4.071967	4.304333	3.212583
0.2	2.61925	2.769567	4.646883	2.24095	3.545267	3.44235	3.456517	3.663567	4.294267	4.2062	4.4844	3.284567
0.1	2.705167	2.839667	4.822817	3.468817	3.619467	3.6013	3.611067	3.790983	4.487367	4.372383	4.671733	3.435517
0.01	3.1689	3.301767	5.62775	3.925117	4.090583	4.04455	4.073467	4.305233	5.006883	5.118983	5.223533	3.87605
0.001	5.0122	4.892133	6.958417	4.841	5.163283	4.933617	4.8524	5.0464	5.829767	5.806967	5.924667	4.4213
1.00E-04	13.69328	10.57575	10.72197	7.373417	7.212033	6.824167	6.592833	6.448717	4.812167	7.000867	6.990633	5.352433
9.00E-05	14.72653	11.98935	10.78753	7.703333	7.353417	6.90995	6.59205	6.567433	7.93955	7.063717	7.118667	5.408583
8.00E-05	15.49752	12.34088	11.38583	8.001683	7.7811	7.0016	6.717217	6.52455	7.876733	7.205667	7.76615	5.5305
7.00E-05	17.6396	13.22605	12.02055	8.213617	6.99	7.4794	6.756067	6.590583	7.865283	7.2632	7.97295	5.670933
6.00E-05	18.5953	14.47443	11.04225	8.342183	8.377883	7.4616	7.0817	4.105033	8.035533	4.58395	7.7479	5.633733
5.00E-05	20.26077	14.65887	12.88455	8.8066	8.834017	7.770317	7.229083	6.919783	8.767817	7.526167	7.718683	5.750467
4.00E-05	25.04242	17.8969	13.95908	11.35797	8.607883	7.352	7.703283	7.407533	9.0651	7.625617	7.86865	5.974083
3.00E-05	28.21685	20.61615	15.3551	13.6736	9.594133	8.703117	7.989867	7.6171	7.477017	7.95755	7.851533	6.030333
2.00E-05	46.06757	25.44082	16.53243	15.64287	10.50942	9.574217	7.09695	8.054667	10.53598	8.265417	7.218	6.46825
1.00E-05	80.79048	39.35317	22.5601	15.97823	14.7386	11.80983	10.44498	9.214717	8.939533	9.138767	9.208167	7.345517
9.00E-06	87.36793	42.81133	23.70315	19.95492	15.23418	12.32893	10.3244	9.624983	8.879517	9.295017	9.126433	7.565117
8.00E-06	95.66463	45.92412	22.25657	20.9247	15.38668	11.93775	11.73412	8.7024	8.9	6.4427	9.368367	7.55965
7.00E-06	101.7467	52.01305	26.15967	20.49305	13.81023	12.8202	12.2939	10.0688	9.08615	9.831883	9.908967	7.578117
6.00E-06	112.7228	59.12817	28.59168	23.07197	15.18247	14.24035	12.72532	10.76972	9.284433	10.10968	10.14037	7.610533
5.00E-06	103.072	64.03423	29.11597	26.69205	13.20275	14.20453	12.22273	10.99013	9.070683	10.2338	7.539067	7.974783
4.00E-06	117.6898	75.97698	24.32462	29.82003	17.62572	16.30947	13.96018	11.72152	10.53945	10.8059	10.80238	8.11095
3.00E-06	146.8839	90.24175	28.18198	30.05803	19.69085	16.78263	15.25467	12.56827	11.23085	11.71078	11.49215	7.7479
2.00E-06	210.922	115.9845	33.848	39.88118	22.98982	20.35595	15.60118	12.48922	12.58237	11.77308	11.9743	9.072717
1.00E-06	365.3568	182.9989	45.15353	49.85102	31.54847	25.59088	18.46883	16.52237	14.56388	14.23863	13.82755	10.79237

d2（mnist x,1）81-con（3*3）49-30-2-（2*k） ,k∈{0,1}的数据

xx1	3	2	1	0.9	0.8	0.7	0.6	0.5	0.4	0.3	0.2	0.1
δ	迭代次数n	迭代次数n	迭代次数n	迭代次数n	迭代次数n	迭代次数n	迭代次数n	迭代次数n	迭代次数n	迭代次数n	迭代次数n	迭代次数n
0.5		14.70854	18.65327	16.54271	19.47739	18.88945	17.65327	19.01508	19.49246	19.82915	19.23116	20.56281
0.4		698.9548	1188.322	1268.05	1299.99	1389.085	1453.588	1633.97	1654.724	1850.402	1957.387	2020.05
0.3		831.8543	1424.995	1437.638	1561.658	1604.131	1729.819	1871.869	1970.352	2270.382	2331.628	2312.633
0.2		942.8543	1545.347	1618.935	1737.99	1796.985	2030.784	2147.859	2288.965	2384.543	2519.799	2593.327
0.1		1121.095	1795.588	1814.382	1974.261	2063.397	2266.382	2344.482	2652.925	2656.643	2727.889	2950.482
0.01		2177.045	2711.256	2824	2874.492	3032.01	3149.186	3228.05	3415.226	3490.121	3632.241	3736.553
0.001		5808.201	5108.131	5107.819	4829.166	4861.819	4679.176	4806.663	4598.523	4977.286	4753.347	4988
1.00E-04		22278.53	11828.41	10990.9	9768.673	8740.905	7789.799	7313.236	6790.633	6753.236	6427.045	6619.648
9.00E-05		23249.25	11780.75	10997.07	10623.77	9132.432	8206.794	7462.794	6975.045	6862	6544.312	6713.327
8.00E-05		26588.83	12883.95	11528.09	10713.68	9695.729	8626.332	7656.553	7376.774	6817.889	6817.015	6941.035
7.00E-05		29334.58	13509.64	13083.87	11163.57	9641.678	8911.839	8084.693	7451.749	6963.769	6811.407	7019.829
6.00E-05		30214.67	14656.63	13194.72	11661.17	10403.88	8971.156	8357.266	7492.794	7133.92	7097.477	7188.05
5.00E-05		33896.79	15838.17	14768.37	12412.51	11194.1	9794.724	8775.558	7824.09	7445.548	7159.759	7448.241
4.00E-05		40100.19	17531.87	15743.09	13722.99	11699.2	10943.32	9224.693	8391.206	7584.834	7489.96	7691.558
3.00E-05		51254.74	21284.63	17799.68	15937.78	13263.43	11229.17	9654.462	8885.266	8090.935	7891.407	7966.995
2.00E-05		63770.49	25082.8	21937.03	17816.94	14640.99	12721.33	11065.09	9469.95	8474.342	8237.126	8364.824
1.00E-05		105934.3	36423.42	30221.71	25411.1	20770.03	16628.63	13726.66	11002.65	9673.286	9242.171	9219.678
9.00E-06		105760.6	39026.94	31967.35	23507.6	22037.31	16803.17	13916.94	11627.95	9977.739	9464	9227.387
8.00E-06		119525.7	36727.53	32642.92	26488.27	22378.62	17552.58	14172.65	11912.85	10244.6	9326.211	9603.548
7.00E-06		135529.2	43443.58	34030.86	26976.21	21887.39	17635.42	15349.17	12515.14	10671.18	9564.593	9918.261
6.00E-06		148247.1	44260.17	39022.46	30368.67	24957.66	20135.13	15048.85	12887.7	10483.8	10116.06	10024
5.00E-06		178351.8	54282.16	44994.81	33220.78	27745.87	20002.5	15731.21	14030.96	11196.5	10405.48	10733.83
4.00E-06		202580.7	60841.72	43966.03	38013.5	32673.02	22229.63	18416.71	14559.71	11713.86	10731.95	10861.25
3.00E-06		250821.9	67544.9	51309.09	41139.21	30761.57	25465.14	20220.51	15375.62	12528.39	11257.39	11208.81
2.00E-06		324131.5	84423.05	71844.75	55642.97	38257.21	28492.2	23674.31	16474.68	14234.7	12447.62	13243.68
1.00E-06		596944.7	148684.2	100628.6	67598.12	52764.57	37163.59	30685.14	21559.01	15977.74	14790.12	14494.47

xx1	3	2	1	0.9	0.8	0.7	0.6	0.5	0.4	0.3	0.2	0.1
δ	平均准确率p-ave	平均准确率p-ave	平均准确率p-ave	平均准确率p-ave	平均准确率p-ave	平均准确率p-ave	平均准确率p-ave	平均准确率p-ave	平均准确率p-ave	平均准确率p-ave	平均准确率p-ave	平均准确率p-ave
0.5		0.506718	0.516136	0.515107	0.510945	0.497884	0.510441	0.508158	0.509992	0.515604	0.505307	0.515861
0.4		0.556687	0.609708	0.634877	0.659601	0.651373	0.716167	0.700125	0.742291	0.761574	0.749787	0.773627
0.3		0.549399	0.636806	0.635345	0.637725	0.68044	0.716735	0.710691	0.75384	0.780636	0.782321	0.804809
0.2		0.560574	0.609701	0.633223	0.65908	0.673904	0.697157	0.721637	0.769624	0.790434	0.80124	0.80111
0.1		0.546791	0.621588	0.627751	0.653568	0.699614	0.693465	0.740364	0.752598	0.781874	0.797885	0.817442
0.01		0.540518	0.582389	0.597151	0.626763	0.65372	0.650194	0.695496	0.714984	0.762964	0.787274	0.793461
0.001		0.540924	0.578479	0.58659	0.601856	0.620908	0.645561	0.670701	0.726272	0.766996	0.790857	0.805593
1.00E-04		0.538617	0.558946	0.557269	0.575243	0.6046	0.631491	0.64626	0.696219	0.722136	0.763658	0.799454
9.00E-05		0.540497	0.557889	0.565009	0.578597	0.597263	0.616515	0.643138	0.688093	0.710774	0.769742	0.791677
8.00E-05		0.53756	0.556097	0.57026	0.581159	0.590503	0.621728	0.647362	0.682395	0.731281	0.775252	0.800147
7.00E-05		0.538396	0.556418	0.565238	0.578262	0.58577	0.625786	0.634822	0.690267	0.736337	0.772099	0.796624
6.00E-05		0.537707	0.553184	0.569191	0.576317	0.589522	0.617936	0.65105	0.670822	0.720225	0.75705	0.794583
5.00E-05		0.537216	0.558243	0.563529	0.575682	0.57472	0.605139	0.653649	0.680231	0.728384	0.763867	0.811336
4.00E-05		0.537698	0.556582	0.5672	0.573698	0.585595	0.599941	0.645718	0.68407	0.742136	0.740663	0.776207
3.00E-05		0.53732	0.557147	0.564301	0.565948	0.601076	0.608658	0.638079	0.657947	0.730283	0.763703	0.779624
2.00E-05		0.537356	0.553731	0.560037	0.576925	0.586787	0.617392	0.631928	0.689882	0.728969	0.752626	0.776633
1.00E-05		0.53718	0.560671	0.556518	0.571334	0.58879	0.589227	0.63702	0.67598	0.732713	0.771912	0.778999
9.00E-06		0.537254	0.552555	0.555681	0.573891	0.575031	0.603486	0.627459	0.659054	0.712076	0.767744	0.787279
8.00E-06		0.537805	0.558338	0.558228	0.57391	0.591967	0.600409	0.62577	0.672716	0.736481	0.735189	0.793202
7.00E-06		0.536873	0.557083	0.555724	0.573979	0.5866	0.602507	0.631134	0.671012	0.710769	0.776609	0.788947
6.00E-06		0.537665	0.550927	0.549226	0.567725	0.586916	0.604864	0.64195	0.674918	0.711793	0.776321	0.780878
5.00E-06		0.536712	0.556097	0.555301	0.569697	0.580762	0.607717	0.650895	0.662112	0.714238	0.765893	0.78927
4.00E-06		0.538114	0.548247	0.555796	0.55887	0.58046	0.604049	0.638457	0.651603	0.73804	0.751338	0.789881
3.00E-06		0.537085	0.549549	0.560757	0.555853	0.581693	0.595937	0.626658	0.670829	0.7311	0.746114	0.793989
2.00E-06		0.537439	0.549373	0.550918	0.565432	0.587752	0.605655	0.623624	0.667669	0.732511	0.760312	0.781392
1.00E-06		0.536733	0.54632	0.551818	0.578804	0.584198	0.597372	0.623531	0.638766	0.716794	0.757955	0.768222

xx1	3	2	1	0.9	0.8	0.7	0.6	0.5	0.4	0.3	0.2	0.1
δ	最大准确率p-max	最大准确率p-max	最大准确率p-max	最大准确率p-max	最大准确率p-max	最大准确率p-max	最大准确率p-max	最大准确率p-max	最大准确率p-max	最大准确率p-max	最大准确率p-max	最大准确率p-max
0.5		0.775887	0.919149	0.91253	0.987234	0.809456	0.894563	0.840662	0.959811	0.956974	0.900709	0.952719
0.4		0.959811	0.96643	0.974941	0.968322	0.973522	0.978723	0.979669	0.975887	0.979196	0.973995	0.977778
0.3		0.977305	0.986288	0.980615	0.972577	0.976832	0.974941	0.974941	0.976359	0.978251	0.980142	0.978251
0.2		0.933333	0.974468	0.975887	0.977305	0.978251	0.982033	0.982506	0.978251	0.97305	0.977778	0.975414
0.1		0.911584	0.972577	0.970213	0.982033	0.983924	0.98156	0.980142	0.976832	0.982506	0.982033	0.975414
0.01		0.824113	0.958865	0.971158	0.976359	0.982506	0.979196	0.991489	0.985343	0.987234	0.981087	0.983452
0.001		0.929551	0.935225	0.989125	0.963121	0.96643	0.988652	0.984397	0.985816	0.98818	0.988652	0.987234
1.00E-04		0.76643	0.892199	0.889362	0.98818	0.956501	0.987707	0.985816	0.978723	0.982979	0.990544	0.987707
9.00E-05		0.793853	0.957447	0.98818	0.986288	0.983924	0.964539	0.991962	0.989125	0.988652	0.991489	0.991962
8.00E-05		0.636407	0.961702	0.978251	0.986288	0.982979	0.98818	0.985343	0.991017	0.985816	0.98818	0.986288
7.00E-05		0.686052	0.960284	0.9026	0.980615	0.971631	0.969267	0.991017	0.989125	0.987234	0.991962	0.990544
6.00E-05		0.599054	0.89078	0.98818	0.985816	0.978251	0.985343	0.98818	0.992435	0.98818	0.988652	0.990071
5.00E-05		0.576359	0.937589	0.983452	0.95461	0.971158	0.955083	0.983924	0.990544	0.991017	0.986288	0.98818
4.00E-05		0.623641	0.913948	0.907329	0.982979	0.98818	0.976832	0.975414	0.981087	0.986288	0.990071	0.989598
3.00E-05		0.597163	0.986288	0.982979	0.933333	0.980615	0.990071	0.982506	0.992435	0.987707	0.987707	0.990071
2.00E-05		0.626005	0.982506	0.918676	0.97305	0.973522	0.983452	0.98818	0.993381	0.988652	0.988652	0.987234
1.00E-05		0.571158	0.982033	0.87565	0.923404	0.991962	0.988652	0.98818	0.98818	0.990544	0.992435	0.990544
9.00E-06		0.597163	0.932861	0.978723	0.948936	0.960284	0.982033	0.975414	0.98487	0.990544	0.989125	0.988652
8.00E-06		0.691253	0.961229	0.98818	0.979196	0.987234	0.991017	0.977778	0.988652	0.989598	0.986761	0.988652
7.00E-06		0.553664	0.983452	0.864303	0.987234	0.990544	0.949882	0.983452	0.989598	0.985816	0.991017	0.990071
6.00E-06		0.621749	0.947991	0.860047	0.967376	0.956501	0.987234	0.983924	0.990544	0.986761	0.991962	0.990071
5.00E-06		0.547045	0.983924	0.977305	0.972104	0.946099	0.956028	0.984397	0.987234	0.987707	0.991962	0.990544
4.00E-06		0.69078	0.966903	0.904492	0.90591	0.972104	0.993853	0.96974	0.991017	0.98818	0.988652	0.990071
3.00E-06		0.587707	0.934752	0.988652	0.893617	0.9513	0.985816	0.980615	0.989598	0.991962	0.989598	0.98818
2.00E-06		0.615603	0.937116	0.90922	0.984397	0.984397	0.979669	0.974941	0.992435	0.990544	0.98487	0.986761
1.00E-06		0.54279	0.813712	0.876123	0.989125	0.987707	0.990071	0.989598	0.98818	0.992908	0.98818	0.990544

xx1	3	2	1	0.9	0.8	0.7	0.6	0.5	0.4	0.3	0.2	0.1
δ	耗时min	耗时min	耗时min/199次	耗时min/199次	耗时min/199次	耗时min/199次	耗时min/199次	耗时min/199次	耗时min/199次	耗时min/199次	耗时min/199次	耗时min/199次
0.5		2.510483	2.430567	2.326233	2.373167	2.422267	2.345633	2.373267	3.33185	0.5059	3.366083	2.434767
0.4		2.88755	3.1002	2.9782	2.967983	3.30205	3.144533	3.3799	4.446517	4.5513	4.645617	3.434233
0.3		2.965367	0.071067	3.1003	1.077667	1.825383	3.321167	3.540233	1.982183	4.847967	4.902917	3.58735
0.2		3.026967	4.072883	3.195783	3.243583	3.5371	3.444617	3.7048	4.868783	4.9262	5.110067	3.757617
0.1		3.13295	3.414017	3.298483	3.371567	3.7	3.594	3.798133	5.159367	5.15	5.134617	3.941467
0.01		3.763033	3.95585	3.859517	3.855933	4.16165	4.06785	4.090667	5.62235	5.6495	5.727317	4.375783
0.001		5.889383	5.331333	5.1231	4.8798	5.385117	2.38305	4.905267	6.421017	6.653717	6.591633	5.088917
1.00E-04		15.90213	9.247067	8.513317	7.572383	7.628133	6.642167	6.296033	7.92665	7.80915	6.482133	5.8605
9.00E-05		16.5148	9.175283	8.498467	8.04985	7.877633	7.098267	6.40745	7.8928	7.900183	7.726117	5.9015
8.00E-05		18.58547	9.828283	8.745567	8.007067	8.268333	7.125883	6.5544	8.136183	7.908983	7.820883	6.04495
7.00E-05		20.03418	10.21463	7.63295	8.481583	8.270617	7.277367	6.757233	8.1564	6.334583	7.851333	6.081817
6.00E-05		19.59558	7.102967	9.667933	8.707467	8.4827	7.310217	6.01885	7.178733	8.677333	8.081367	4.63985
5.00E-05		22.45648	11.38685	10.52947	9.06325	5.405517	7.7676	7.107033	8.55335	8.6973	8.244367	7.001017
4.00E-05		26.06997	12.1663	11.07443	9.742767	9.109	8.408183	7.403867	8.831767	8.754067	8.26035	6.46725
3.00E-05		33.50495	14.1314	12.20815	10.93248	10.07443	7.778817	7.615583	9.165567	9.216533	7.246967	6.631217
2.00E-05		39.50763	13.74712	13.79323	11.93147	10.72807	9.398917	8.330783	9.566117	9.474733	8.560867	6.849317
1.00E-05		68.42525	24.56225	19.12622	16.03893	14.21978	11.5572	9.840083	10.58042	6.821867	9.201217	7.362133
9.00E-06		66.1858	23.68562	19.68268	15.5879	11.14268	11.66248	9.8837	8.893033	12.61232	9.442333	7.479283
8.00E-06		73.01097	21.54347	19.49773	16.99003	15.0814	12.7691	9.202967	11.21652	10.3358	9.363567	7.700083
7.00E-06		80.2861	26.79543	21.06757	17.48042	14.95642	12.3476	10.575	11.60262	10.60852	9.76175	7.904183
6.00E-06		88.61378	27.83497	23.73095	19.84797	15.71658	13.48195	10.41413	11.87328	10.8841	10.18933	6.545833
5.00E-06		107.5691	31.83672	25.68367	22.03312	17.18445	13.18897	10.78657	12.94973	10.96022	10.34513	8.309733
4.00E-06		120.2731	39.02522	27.12037	24.15003	21.10577	14.23063	12.27333	12.5277	8.37575	10.3324	9.695983
3.00E-06		149.2064	42.35888	31.20058	26.60257	19.60935	15.29725	13.33402	13.26603	11.9225	10.86703	10.10187
2.00E-06		234.2211	52.47998	41.29758	34.02627	22.72845	17.61557	15.10638	14.05748	13.11802	11.66635	11.35903
1.00E-06		321.3159	88.59127	56.93867	39.27617	31.68127	23.4379	19.43642	17.2563	14.07885	13.42612	12.19575

数据如上，开始进入对比环节

d2（mnist x,0）81-con（3*3）49-30-2-（2*k） ,k∈{0,1}的数据

d2（mnist x,1）81-con（3*3）49-30-2-（2*k） ,k∈{0,1}的数据

共对比了上面两个网络的迭代次数和用这两个网络的迭代次数生成的表格里面的9个量，共11个量

计算ωx

计算ω0

计算ω1

mx0

mx1

m01

xx0	3	2	1	0.9	0.8	0.7	0.6	0.5	0.4	0.3	0.2	0.1
δ	迭代次数n	迭代次数n	迭代次数n	迭代次数n	迭代次数n	迭代次数n	迭代次数n	迭代次数n	迭代次数n	迭代次数n	迭代次数n	迭代次数n
0.5	16.8593	14.60804	16.70352	16.31156	16.10553	17.25628	13.65327	17.21106	18.21106	15.06533	17.05528	15.68844
0.4	499.2513	622.598	948.3769	996.0251	1085.633	1085.764	1155.935	1206.206	1384.166	1305.744	1366.116	1473.513
0.3	578.4623	769.1106	1206.407	1249.573	1263.281	1312.97	1401.362	1491.221	1559.201	1586.598	1638.92	1774.307
0.2	674.6683	885.5829	1364.648	1407.201	1500.397	1538.025	1570.116	1695.814	1737.643	1832.94	1911.131	1929.925
0.1	831.3317	1055.482	1503.131	1642.94	1647.925	1800.106	1821.352	1895.452	2030.327	2066.518	2191.261	2198.337
0.01	1660.337	1894.226	2394.246	2399.452	2430.618	2539.995	2610.889	2736.457	2803.362	2902.317	3021.523	2977.211
0.001	5010.085	4786.317	4129.613	3916.186	4022.367	4040.005	3927.04	3923.251	3986.92	3969.884	4097.985	3985.372
1E-04	20889.22	16239.91	8938.899	8172.005	7363.201	7161.171	6827.935	6135.503	6109.754	5685.633	5652.095	5668.116
9E-05	22827.87	17400.37	9308.447	8747.05	7674.176	7314.638	6820.025	6322.327	6003.01	5759.402	5807.523	5789.432
8E-05	24222.44	18319.48	9892.045	9227.744	8349.653	7450.417	7008.246	6500.327	6296.276	6036.608	5884.508	5967.905
7E-05	28155.15	19718.17	10722.29	9221.482	8638.869	8270.477	7080.889	6579.724	6500.548	6110.98	6193.231	6248.246
6E-05	29972.55	22186.49	11092.69	9839.101	9226.91	8264.176	7611.342	7035.995	6624.879	6233.412	6090.427	6169.633
5E-05	34241.67	24507.63	11852.92	10642.72	10105.04	8749.985	7887.281	7168.508	6945.503	6457.231	6358.608	6378.337
0.00004	41034.68	28383.2	13515.53	12204.35	10019.78	9434.126	8658.085	7791.07	7218.648	6695.01	6776.327	6743.09
3E-05	47542.95	33138.69	15152.27	13061.13	11636.97	10486.88	9170.95	8571.412	7419.543	7553.221	7030.709	6900.829
0.00002	64815.17	43387.53	18285.01	15551.34	13115.4	12059.9	10233.12	9261.573	8722.628	8013.884	7810.266	7617.995
0.00001	110475.7	66517.49	24419.72	20741.8	18498.48	15508.23	13287.06	11262.1	9952.357	9250.367	9033.09	8774.487
9E-06	118321.7	74077.69	25161.47	21850.95	20535.4	15979.6	13037.05	11806.12	10425.16	9471.623	9108.166	9089.03
8E-06	134138.3	78640.24	26119.48	23989.35	20066.72	16834.16	14015.96	11842.11	10730.96	9537.633	9370.799	9102.809
0.000007	139605.1	88628.01	28379.58	24640.63	18954.07	17258.22	14787.09	12669.67	11061.28	10238.02	9426.698	9493.653
0.000006	160404.2	100091.3	31249.69	25936.41	21341.72	19679.85	15408.82	13465.37	11383.31	10642.52	9908.387	9805.332
5E-06	183593.8	109698.4	33126.35	29130.5	22354.8	19053.38	16050.55	14077.98	12044.12	10818.8	10166.05	10473.86
4E-06	212449.8	134476.3	40608.56	33624.42	25423.72	22719.42	17432.9	15101.65	12856.07	11615.7	10901.65	10729.31
0.000003	262447.5	157937.7	45608.1	38669.42	28938.41	25093.01	20147.58	16692.3	14042.63	12647.95	11859.32	11554.14
2E-06	361448.6	208133.2	58309.75	46001.42	34562.49	29669.08	21940.73	17890.48	16268.25	14183.72	12547.48	12511.71
1E-06	652447.4	333299.1	79219.66	64389.22	48945.62	38440.64	29726.72	23569.61	19451.45	16397.37	15307.21	15674.3

当δ>0.001时随着d的增加迭代次数nxx0减小

当δ<=0.001时随着d的增加迭代次数nxx0增加

xx1	3	2	1	0.9	0.8	0.7	0.6	0.5	0.4	0.3	0.2	0.1
δ	迭代次数n	迭代次数n	迭代次数n	迭代次数n	迭代次数n	迭代次数n	迭代次数n	迭代次数n	迭代次数n	迭代次数n	迭代次数n	迭代次数n
0.5		14.70854	18.65327	16.54271	19.47739	18.88945	17.65327	19.01508	19.49246	19.82915	19.23116	20.56281
0.4		698.9548	1188.322	1268.05	1299.99	1389.085	1453.588	1633.97	1654.724	1850.402	1957.387	2020.05
0.3		831.8543	1424.995	1437.638	1561.658	1604.131	1729.819	1871.869	1970.352	2270.382	2331.628	2312.633
0.2		942.8543	1545.347	1618.935	1737.99	1796.985	2030.784	2147.859	2288.965	2384.543	2519.799	2593.327
0.1		1121.095	1795.588	1814.382	1974.261	2063.397	2266.382	2344.482	2652.925	2656.643	2727.889	2950.482
0.01		2177.045	2711.256	2824	2874.492	3032.01	3149.186	3228.05	3415.226	3490.121	3632.241	3736.553
0.001		5808.201	5108.131	5107.819	4829.166	4861.819	4679.176	4806.663	4598.523	4977.286	4753.347	4988
1E-04		22278.53	11828.41	10990.9	9768.673	8740.905	7789.799	7313.236	6790.633	6753.236	6427.045	6619.648
9E-05		23249.25	11780.75	10997.07	10623.77	9132.432	8206.794	7462.794	6975.045	6862	6544.312	6713.327
8E-05		26588.83	12883.95	11528.09	10713.68	9695.729	8626.332	7656.553	7376.774	6817.889	6817.015	6941.035
7E-05		29334.58	13509.64	13083.87	11163.57	9641.678	8911.839	8084.693	7451.749	6963.769	6811.407	7019.829
6E-05		30214.67	14656.63	13194.72	11661.17	10403.88	8971.156	8357.266	7492.794	7133.92	7097.477	7188.05
5E-05		33896.79	15838.17	14768.37	12412.51	11194.1	9794.724	8775.558	7824.09	7445.548	7159.759	7448.241
0.00004		40100.19	17531.87	15743.09	13722.99	11699.2	10943.32	9224.693	8391.206	7584.834	7489.96	7691.558
3E-05		51254.74	21284.63	17799.68	15937.78	13263.43	11229.17	9654.462	8885.266	8090.935	7891.407	7966.995
0.00002		63770.49	25082.8	21937.03	17816.94	14640.99	12721.33	11065.09	9469.95	8474.342	8237.126	8364.824
0.00001		105934.3	36423.42	30221.71	25411.1	20770.03	16628.63	13726.66	11002.65	9673.286	9242.171	9219.678
9E-06		105760.6	39026.94	31967.35	23507.6	22037.31	16803.17	13916.94	11627.95	9977.739	9464	9227.387
8E-06		119525.7	36727.53	32642.92	26488.27	22378.62	17552.58	14172.65	11912.85	10244.6	9326.211	9603.548
0.000007		135529.2	43443.58	34030.86	26976.21	21887.39	17635.42	15349.17	12515.14	10671.18	9564.593	9918.261
0.000006		148247.1	44260.17	39022.46	30368.67	24957.66	20135.13	15048.85	12887.7	10483.8	10116.06	10024
5E-06		178351.8	54282.16	44994.81	33220.78	27745.87	20002.5	15731.21	14030.96	11196.5	10405.48	10733.83
4E-06		202580.7	60841.72	43966.03	38013.5	32673.02	22229.63	18416.71	14559.71	11713.86	10731.95	10861.25
0.000003		250821.9	67544.9	51309.09	41139.21	30761.57	25465.14	20220.51	15375.62	12528.39	11257.39	11208.81
2E-06		324131.5	84423.05	71844.75	55642.97	38257.21	28492.2	23674.31	16474.68	14234.7	12447.62	13243.68
1E-06		596944.7	148684.2	100628.6	67598.12	52764.57	37163.59	30685.14	21559.01	15977.74	14790.12	14494.47

当δ>0.001时随着d的增加迭代次数nxx1减小

当δ<=0.001时随着d的增加迭代次数nxx1增加

表格1计算ωx

	计算ωx
δ	2	1	0.9	0.8	0.7	0.6	0.5	0.4	0.3	0.2	0.1
0.1	826.9321	1384.267	1501.844	1593.318	1788.592	1941.672	2087.952	2550.016	2626.445	2991.299	3316.639
0.01	1651.603	2310.081	2383.736	2445.609	2666.108	2834.826	3065.473	3335.438	3587.079	4008.469	4037.379
0.001	8282.078	5113.26	4723.614	4663.953	4721.435	4393.664	4493.004	4407.169	4708.68	4709.301	4743.803
1.00E-04	#NUM!	#NUM!	#NUM!	114511.7	16349.88	10493.3	7805.282	7137.886	6453.112	6124.005	6312.036
9.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	18660.7	10822.19	8120.583	6985.038	6512.807	6300.651	6426.284
8.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	20502.88	11527.99	8318.713	7596.727	6640.007	6438.427	6657.807
7.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	12508.32	9033.723	8024.642	6859.158	6822.932	7113.306
6.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	13135.16	9700.564	7736.823	6820.748	6605.326	6782.981
5.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	15556.33	9960.661	8248.119	7132.698	6761.323	7029.054
4.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	21388.77	10707.96	8485.486	7038.102	7053.682	7181.109
3.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	18244.68	11528.82	8446.747	7908.715	7166.266	7082.13
2.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	19426.92	12174.72	9442.812	7804.755	7442.699	7363.306
1.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	18383.9	11094.83	9075.668	8534.269	8298.792
9.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	21152.79	12408.88	9496.327	8731.58	8528.919
8.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	17662.04	12102.96	9277.75	8457.154	8449.317
7.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	23114.95	12958.62	10143.32	8580.66	8888.277
6.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	21084.24	12849.46	9879.236	9025.409	8883.43
5.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	23078.54	14487.93	10363.11	9243.899	9719.279
4.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	32048.09	15061.53	10950.14	9650.603	9620.637
3.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	36302.22	15761.92	11667.21	10140.33	9914.002
2.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	63732.45	18896.38	13809.77	11081.53	11603.54
1.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	24003.2	14780.37	13152.81	13163.26

当δ<=0.001时

随着d的增加ω增加

表格2计算ω0

计算ω0
δ	2	1	0.9	0.8	0.7	0.6	0.5	0.4	0.3	0.2	0.1
0.1	1733.223	1659.029	1833.111	1708.56	1811.844	1720.943	1747.952	1737.123	1758.546	1811.407	1759.701
0.01	2289.328	2488.337	2415.483	2415.9	2430.237	2432.818	2494.771	2464.789	2502.227	2525.128	2467.15
0.001	3708.188	3557.188	3418.132	3588.822	3588.001	3583.196	3526.688	3667.742	3496.395	3675.996	3503.232
1.00E-04	#NUM!	#NUM!	#NUM!	5211.959	5325.564	5437.874	5218.93	5427.237	5139.704	5274.782	5188.063
9.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	5383.141	5386.888	5355.115	5344.906	5218.642	5414.585	5310.777
8.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	5451.27	5488.579	5514.699	5494.655	5572.545	5452.675	5455.87
7.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	5463.777	5427.78	5607.711	5564.05	5710.86	5637.444
6.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	5900.048	5795.481	5886.082	5775.627	5679.779	5697.325
5.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	5974.293	5888.384	6113.003	5943.275	6020.223	5880.261
4.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	6389.53	6424.647	6389.685	6397.651	6529.31	6376.544
3.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	6937.884	7124.949	6694.25	7241.723	6902.563	6732.775
2.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	7796.938	7768.578	8145.521	8240.78	8238.291	7901.083
1.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	8835.494	9102.893	9435.559	9631.03	9342.642
9.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	9085.7	9164.046	9447.111	9538.097	9776.297
8.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	9510.422	9739.85	9820.655	10663.35	9935.925
7.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	9718.428	9809.921	10335.42	10585.24	10242.38
6.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	10671.59	10326.36	11615.34	11114.35	11090.45
5.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	11033.85	10527.39	11340.42	11433.83	11436.8
4.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	11325.68	11401.54	12419.54	12812.83	12337.91
3.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	12481.39	12785.8	13926.51	14915.04	14422.86
2.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	12907.3	14499.7	14589.79	14808.7	13673.07
1.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	16782.83	18695.92	19051.21	20544.43

当δ<=0.001时

当δ>0.001随着d的增加ω0减小

当δ<=0.001&&δ>=3e-5随着d的增加ω0增加

当δ<3e-5随着d的增加ω0减小

但全区间都相对平

表格3计算ω1

计算ω1
δ	2	1	0.9	0.8	0.7	0.6	0.5	0.4	0.3	0.2	0.1
0.1	2785.382	3187.017	2467.946	2896.254	2522.52	2838.372	2726.917	2769.39	2687.908	2523.701	2683.797
0.01	4249.116	3436.336	3656.454	3655.01	3606.775	3598.381	3419.58	3501.029	3400.622	3345.299	3494.29
0.001	4729.495	5103.017	5604.163	5013.279	5015.52	5028.721	5196.756	4817.182	5297.817	4798.652	5274.26
1.00E-04	#NUM!	#NUM!	#NUM!	6920.097	6676.17	6471.526	6903.87	6489.582	7099.55	6780.038	6977.115
9.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	6882.865	6875.053	6942.678	6965.095	7274.144	6818.62	7042.624
8.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	7274.679	7188.471	7130.905	7174.883	7010.879	7271.344	7263.786
7.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	7295.033	7383.138	6986.294	7073.317	6799.94	6929.943
6.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	7244.403	7451.822	7270.489	7494.611	7719.065	7675.595
5.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	7734.793	7932.669	7459.383	7803.54	7638.102	7952.646
4.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	8300.339	8225.023	8300	8282.628	8018.695	8329.042
3.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	8819.23	8471.669	9400.039	8286.359	8893.259	9296.038
2.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	10148.85	10212.33	9497.323	9352.329	9355.97	9930.923
1.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	11429.02	10912.73	10407	10161.61	10535.89
9.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	11117.08	10978.05	10540.67	10418.26	10131.39
8.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	12170.43	11731.43	11594.41	10533.42	11412.39
7.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	12292.89	12114.27	11291.07	10989.33	11416.08
6.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	12326.18	12926.28	11214.93	11730.29	11758.58
5.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	12695.67	13614.68	12269.86	12154.64	12151.07
4.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	14252.27	14104.92	12663.49	12283.38	12751.8
3.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	15555.41	15016.39	13613.58	12849.47	13193.84
2.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	17349.45	14795.37	14701.44	14487.18	15859.57
1.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	19735.87	17522.9	17245.25	16333.32

当δ>0.001随着d的增加ω1增加

当δ<=0.001&&δ>=3e-5随着d的增加ω1减小

当δ<3e-5随着d的增加ω1增加

但全区间都相对平稳，并且ω0和ω1在相同区间上变化趋势相反。

表格4：m0

m0
δ	2	1	0.9	0.8	0.7	0.6	0.5	0.4	0.3	0.2	0.1
0.1	0.227631	0.696196	0.671231	0.869649	0.974499	1.272973	1.426862	2.154889	2.230639	2.727016	3.552375
0.01	0.52047	0.861858	0.973887	1.024746	1.203534	1.357793	1.50985	1.831245	2.055078	2.51994	2.677984
0.001	4.98833	2.066246	1.909727	1.688902	1.731581	1.503531	1.623079	1.443849	1.813666	1.641205	1.833646
1.00E-04	#NUM!	#NUM!	#NUM!	482.7224	9.425366	3.723623	2.236733	1.729743	1.576385	1.347914	1.480228
9.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	12.01667	4.036027	2.299518	1.70788	1.557477	1.354068	1.464211
8.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	14.14602	4.411513	2.275457	1.911491	1.419809	1.394249	1.489136
7.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	5.240976	2.77006	2.047765	1.519706	1.427378	1.59213
6.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	4.956324	2.801657	1.727718	1.394652	1.352464	1.417423
5.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	6.780179	2.861436	1.820542	1.44031	1.261358	1.428896
4.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	11.20557	2.777889	1.763578	1.210236	1.167071	1.268272
3.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	6.91542	2.618221	1.592118	1.192691	1.077867	1.10647
2.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	6.208117	2.456036	1.343894	0.896978	0.816181	0.868505
1.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	4.32926	1.485535	0.925171	0.785212	0.789024
9.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	5.42024	1.83354	1.010446	0.838035	0.761096
8.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	3.448911	1.544112	0.892492	0.629016	0.723147
7.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	5.657102	1.744964	0.963172	0.657113	0.753067
6.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	3.903532	1.548372	0.723407	0.659426	0.641598
5.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	4.374842	1.89396	0.835068	0.653622	0.722203
4.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	8.007106	1.745063	0.777371	0.567307	0.608029
3.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	8.459412	1.519716	0.701858	0.462227	0.472493
2.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	24.38092	1.698396	0.895932	0.559971	0.720193
1.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	2.04554	0.624996	0.476642	0.410524

当δ>0.001随着d的增加m0减小

当δ<=0.001随着d的增加m0增加

表格5：m1

m1
δ	2	1	0.9	0.8	0.7	0.6	0.5	0.4	0.3	0.2	0.1
0.1	0.088139	0.188656	0.370321	0.302644	0.502752	0.467965	0.586269	0.847847	0.95479	1.404894	1.527204
0.01	0.151083	0.451921	0.425007	0.44771	0.546408	0.620638	0.803618	0.907642	1.112667	1.435777	1.335
0.001	3.066543	1.004019	0.71044	0.865495	0.886168	0.763376	0.747496	0.837015	0.789959	0.963106	0.808966
1.00E-04	#NUM!	#NUM!	#NUM!	273.8263	5.99756	2.629121	1.27818	1.209778	0.826184	0.815843	0.818441
9.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	7.350506	2.477867	1.368108	1.005735	0.801628	0.853843	0.832628
8.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	7.943322	2.571783	1.36089	1.121046	0.896999	0.784026	0.84011
7.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	2.939975	1.497103	1.319343	0.940363	1.006774	1.053619
6.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	3.287498	1.694607	1.132396	0.828258	0.732249	0.780939
5.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	4.044985	1.576659	1.222656	0.835458	0.783597	0.781215
4.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	6.640183	1.694881	1.045195	0.722063	0.773792	0.743349
3.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	4.27968	1.851961	0.807458	0.910929	0.649328	0.580406
2.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	3.664157	1.421242	0.988554	0.696432	0.632824	0.549752
1.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	2.587364	1.033653	0.760512	0.705354	0.620422
9.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	3.620378	1.277658	0.811662	0.702418	0.708679
8.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	2.106055	1.064342	0.640307	0.644629	0.548138
7.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	3.535722	1.144255	0.80703	0.609676	0.606179
6.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	2.925897	0.988151	0.775985	0.591992	0.570758
5.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	3.304499	1.132393	0.713348	0.578397	0.639792
4.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	5.056337	1.140243	0.747709	0.617267	0.5692
3.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	5.446322	1.101761	0.734496	0.622779	0.564619
2.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	13.49428	1.631194	0.882376	0.585102	0.535301
1.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	1.479196	0.711473	0.581699	0.649498

当δ>0.001随着d的增加m1减小

当δ<=0.001随着d的增加m1增加

表格6：mx0

mx0
δ	2	1	0.9	0.8	0.7	0.6	0.5	0.4	0.3	0.2	0.1
0.1	1.227631	1.696196	1.671231	1.869649	1.974499	2.272973	2.426862	3.154889	3.230639	3.727016	4.552375
0.01	1.52047	1.861858	1.973887	2.024746	2.203534	2.357793	2.50985	2.831245	3.055078	3.51994	3.677984
0.001	5.98833	3.066246	2.909727	2.688902	2.731581	2.503531	2.623079	2.443849	2.813666	2.641205	2.833646
1.00E-04	#NUM!	#NUM!	#NUM!	483.7224	10.42537	4.723623	3.236733	2.729743	2.576385	2.347914	2.480228
9.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	13.01667	5.036027	3.299518	2.70788	2.557477	2.354068	2.464211
8.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	15.14602	5.411513	3.275457	2.911491	2.419809	2.394249	2.489136
7.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	6.240976	3.77006	3.047765	2.519706	2.427378	2.59213
6.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	5.956324	3.801657	2.727718	2.394652	2.352464	2.417423
5.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	7.780179	3.861436	2.820542	2.44031	2.261358	2.428896
4.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	12.20557	3.777889	2.763578	2.210236	2.167071	2.268272
3.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	7.91542	3.618221	2.592118	2.192691	2.077867	2.10647
2.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	7.208117	3.456036	2.343894	1.896978	1.816181	1.868505
1.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	5.32926	2.485535	1.925171	1.785212	1.789024
9.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	6.42024	2.83354	2.010446	1.838035	1.761096
8.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	4.448911	2.544112	1.892492	1.629016	1.723147
7.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	6.657102	2.744964	1.963172	1.657113	1.753067
6.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	4.903532	2.548372	1.723407	1.659426	1.641598
5.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	5.374842	2.89396	1.835068	1.653622	1.722203
4.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	9.007106	2.745063	1.777371	1.567307	1.608029
3.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	9.459412	2.519716	1.701858	1.462227	1.472493
2.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	25.38092	2.698396	1.895932	1.559971	1.720193
1.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	3.04554	1.624996	1.476642	1.410524

当δ>0.001随着d的增加mx0减小

当δ<=0.001随着d的增加mx0增加

表格7：mx1

mx1
δ	2	1	0.9	0.8	0.7	0.6	0.5	0.4	0.3	0.2	0.1
0.1	1.088139	1.188656	1.370321	1.302644	1.502752	1.467965	1.586269	1.847847	1.95479	2.404894	2.527204
0.01	1.151083	1.451921	1.425007	1.44771	1.546408	1.620638	1.803618	1.907642	2.112667	2.435777	2.335
0.001	4.066543	2.004019	1.71044	1.865495	1.886168	1.763376	1.747496	1.837015	1.789959	1.963106	1.808966
1.00E-04	#NUM!	#NUM!	#NUM!	274.8263	6.99756	3.629121	2.27818	2.209778	1.826184	1.815843	1.818441
9.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	8.350506	3.477867	2.368108	2.005735	1.801628	1.853843	1.832628
8.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	8.943322	3.571783	2.36089	2.121046	1.896999	1.784026	1.84011
7.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	3.939975	2.497103	2.319343	1.940363	2.006774	2.053619
6.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	4.287498	2.694607	2.132396	1.828258	1.732249	1.780939
5.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	5.044985	2.576659	2.222656	1.835458	1.783597	1.781215
4.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	7.640183	2.694881	2.045195	1.722063	1.773792	1.743349
3.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	5.27968	2.851961	1.807458	1.910929	1.649328	1.580406
2.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	4.664157	2.421242	1.988554	1.696432	1.632824	1.549752
1.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	3.587364	2.033653	1.760512	1.705354	1.620422
9.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	4.620378	2.277658	1.811662	1.702418	1.708679
8.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	3.106055	2.064342	1.640307	1.644629	1.548138
7.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	4.535722	2.144255	1.80703	1.609676	1.606179
6.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	3.925897	1.988151	1.775985	1.591992	1.570758
5.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	4.304499	2.132393	1.713348	1.578397	1.639792
4.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	6.056337	2.140243	1.747709	1.617267	1.5692
3.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	6.446322	2.101761	1.734496	1.622779	1.564619
2.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	14.49428	2.631194	1.882376	1.585102	1.535301
1.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	2.479196	1.711473	1.581699	1.649498

当δ>0.001随着d的增加mx1减小

当δ<=0.001随着d的增加mx1增加

表格8：m01

m01
δ	2	1	0.9	0.8	0.7	0.6	0.5	0.4	0.3	0.2	0.1
0.1	0.31577	0.884853	1.041552	1.172293	1.47725	1.740937	2.013132	3.002737	3.185429	4.13191	5.079579
0.01	0.671552	1.31378	1.398894	1.472456	1.749943	1.978431	2.313467	2.738886	3.167745	3.955717	4.012983
0.001	8.054873	3.070265	2.620167	2.554397	2.617749	2.266908	2.370575	2.280865	2.603625	2.604312	2.642612
1.00E-04	#NUM!	#NUM!	#NUM!	756.5488	15.42293	6.352743	3.514913	2.939521	2.402568	2.163757	2.298669
9.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	19.36718	6.513894	3.667626	2.713615	2.359104	2.207911	2.296839
8.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	22.08934	6.983296	3.636347	3.032536	2.316808	2.178275	2.329246
7.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	8.18095	4.267162	3.367107	2.460069	2.434152	2.645749
6.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	8.243822	4.496265	2.860113	2.22291	2.084713	2.198362
5.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	10.82516	4.438095	3.043197	2.275767	2.044954	2.21011
4.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	17.84575	4.47277	2.808772	1.932299	1.940863	2.011621
3.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	11.1951	4.470182	2.399575	2.10362	1.727195	1.686876
2.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	9.872274	3.877278	2.332447	1.593411	1.449006	1.418257
1.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	6.916624	2.519188	1.685683	1.490567	1.409446
9.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	9.040618	3.111198	1.822108	1.540453	1.469775
8.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	5.554966	2.608454	1.532799	1.273645	1.271285
7.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	9.192824	2.889219	1.770202	1.266789	1.359246
6.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	6.829429	2.536522	1.499393	1.251418	1.212355
5.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	7.679341	3.026354	1.548416	1.23202	1.361995
4.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	13.06344	2.885305	1.525079	1.184574	1.177229
3.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	13.90573	2.621477	1.436354	1.085006	1.037112
2.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	37.8752	3.32959	1.778307	1.145074	1.255493
1.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	3.524736	1.336469	1.058341	1.060022

当δ>0.001随着d的增加m01减小

当δ<=0.001随着d的增加m01增加

表格9：k

k
δ	2	1	0.9	0.8	0.7	0.6	0.5	0.4	0.3	0.2	0.1
0.1	683816.8	1916195	2255536	2538662	3199063	3770091	4359542	6502583	6898213	8947868	11000095
0.01	2727793	5336472	5682199	5981002	7108132	8036236	9397126	11125146	12867135	16067820	16300429
0.001	68592811	26145428	22312531	21752459	22291944	19304286	20187085	19423138	22171663	22177513	22503667
1.00E-04	#NUM!	#NUM!	#NUM!	1.31E+10	2.67E+08	1.1E+08	60922426	50949414	41642651	37503440	39841803
9.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	3.48E+08	1.17E+08	65943865	48790762	42416659	39698199	41297124
8.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	4.2E+08	1.33E+08	69200993	57710254	44089694	41453345	44326389
7.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	1.56E+08	81608147	64394881	47048046	46552398	50599127
6.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	1.73E+08	94100946	59858437	46522603	43630327	46008838
5.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	2.42E+08	99214776	68031475	50875378	45715493	49407598
4.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	4.57E+08	1.15E+08	72003471	49534879	49754426	51568326
3.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	3.33E+08	1.33E+08	71347543	62547775	51355373	50156569
2.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	3.77E+08	1.48E+08	89166690	60914193	55393763	54218278
1.00E-05	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	3.38E+08	1.23E+08	82367752	72833741	68869942
9.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	4.47E+08	1.54E+08	90180230	76240486	72742467
8.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	3.12E+08	1.46E+08	86076649	71523459	71390956
7.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	5.34E+08	1.68E+08	1.03E+08	73627734	79001466
6.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	4.45E+08	1.65E+08	97599303	81458005	78915321
5.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	5.33E+08	2.1E+08	1.07E+08	85449672	94464394
4.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	1.03E+09	2.27E+08	1.2E+08	93134148	92556649
3.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	1.32E+09	2.48E+08	1.36E+08	1.03E+08	98287444
2.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	4.06E+09	3.57E+08	1.91E+08	1.23E+08	1.35E+08
1.00E-06	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	#NUM!	5.76E+08	2.18E+08	1.73E+08	1.73E+08

当δ>0.001随着d的增加k减小

当δ<=0.001随着d的增加k增加

综合

	计算ωx	计算ω0	计算ω1	m0	m1	mx0	mx1	m01	k
δ>0.001	减小	减小	增加	减小	减小	减小	减小	减小	减小
δ<=0.001&&δ>=3e-5	增加	增加	减小	增加	增加	增加	增加	增加	增加
δ<3e-5	增加	减小	增加	增加	增加	增加	增加	增加	增加

计算ωx,m0,m1,mx0,mx1,m01,k这7个量的变化关系是一样的，只有1个拐点

ω0和ω1的变化关系是正相反的，这两个量有两个拐点。

/*************************************************************************/

类对角

计算ωx

计算ω0

计算ω1

mx0

mx1

m01

δ>0.001

减小

增加

减小

δ<=0.001&&δ>=3e-5

增加

减小

增加

δ<3e-5

增加

减小

增加

对角

计算ωx

计算ω0

计算ω1

mx0

mx1

m01

δ>0.001

减小

δ>0.01

减小

增加

δ>0.001

减小

δ<=0.001&&δ>=3e-5

增加

δ<=0.01&&δ>=3e-5

增加

减小

δ<=0.001&&δ>=3e-5

增加

δ<3e-5

增加

δ<3e-5

增加

减小

δ<3e-5

增加

反对角

计算ωx

计算ω0

计算ω1

mx0

mx1

m01

δ>0.001

减小

增加

减小

δ<=0.001&&δ>=3e-5

增加

减小

增加

δ<3e-5

增加

减小

增加

本文数据比较多有感兴趣的朋友可以到我的资源里下载

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