在matlab中用符号变量对矩阵进行排序
Sorting a matrix with symbolic variables in matlab
我该如何排序或排列这个矩阵？第 10 行现在出现在最开始，而它应该按照顺序排在第 10 位。很少有其他元素也错位在中间。在这种情况下，所有变量都是符号的。谢谢。
[ P10_1, P10_10, P10_2, P10_3, P10_4, P10_5, P10_6, P10_7, P10_8, P10_9, P1_1, P1_10, P1_2, P1_3, P1_4, P1_5, P1_6, P1_7, P1_8, P1_9, P2_1, P2_10, P2_2, P2_3, P2_4, P2_5, P2_6, P2_7, P2_8, P2_9, P3_1, P3_10, P3_2, P3_3, P3_4, P3_5, P3_6, P3_7, P3_8, P3_9, P4_1, P4_10, P4_2, P4_3, P4_4, P4_5, P4_6, P4_7, P4_8, P4_9, P5_1, P5_10, P5_2, P5_3, P5_4, P5_5, P5_6, P5_7, P5_8, P5_9, P6_1, P6_10, P6_2, P6_3, P6_4, P6_5, P6_6, P6_7, P6_8, P6_9, P7_1, P7_10, P7_2, P7_3, P7_4, P7_5, P7_6, P7_7, P7_8, P7_9, P8_1, P8_10, P8_2, P8_3, P8_4, P8_5, P8_6, P8_7, P8_8, P8_9, P9_1, P9_10, P9_2, P9_3, P9_4, P9_5, P9_6, P9_7, P9_8, P9_9]
排序函数 return this.The 第 10 行应该排在最后，但它出现在开头。
[ P10_1, P10_2, P10_3, P10_4, P10_5, P10_6, P10_7, P10_8, P10_9, P10_10, P1_1, P1_2, P1_3, P1_4, P1_5, P1_6, P1_7, P1_8, P1_9, P2_1, P2_2, P2_3, P2_4, P2_5, P2_6, P2_7, P2_8, P2_9, P3_1, P3_2, P3_3, P3_4, P3_5, P3_6, P3_7, P3_8, P3_9, P4_1, P4_2, P4_3, P4_4, P4_5, P4_6, P4_7, P4_8, P4_9, P5_1, P5_2, P5_3, P5_4, P5_5, P5_6, P5_7, P5_8, P5_9, P6_1, P6_2, P6_3, P6_4, P6_5, P6_6, P6_7, P6_8, P6_9, P7_1, P7_2, P7_3, P7_4, P7_5, P7_6, P7_7, P7_8, P7_9, P8_1, P8_2, P8_3, P8_4, P8_5, P8_6, P8_7, P8_8, P8_9, P9_1, P9_2, P9_3, P9_4, P9_5, P9_6, P9_7, P9_8, P9_9, P1_10, P2_10, P3_10, P4_10, P5_10, P6_10, P7_10, P8_10, P9_10]
我不知道你说的"symbolic"是什么意思？当它是一个字符串时，简单地将它们解析为数字（删除 'P' 并将下划线 '_' 替换为点 '.'）。
最后在保存索引的同时进行排序。
this = '[ P10_1, P10_10, P10_2, P10_3, P10_4, P10_5, P10_6, P10_7, P10_8, P10_9, P1_1, P1_10, P1_2, P1_3, P1_4, P1_5, P1_6, P1_7, P1_8, P1_9, P2_1, P2_10, P2_2, P2_3, P2_4, P2_5, P2_6, P2_7, P2_8, P2_9, P3_1, P3_10, P3_2, P3_3, P3_4, P3_5, P3_6, P3_7, P3_8, P3_9, P4_1, P4_10, P4_2, P4_3, P4_4, P4_5, P4_6, P4_7, P4_8, P4_9, P5_1, P5_10, P5_2, P5_3, P5_4, P5_5, P5_6, P5_7, P5_8, P5_9, P6_1, P6_10, P6_2, P6_3, P6_4, P6_5, P6_6, P6_7, P6_8, P6_9, P7_1, P7_10, P7_2, P7_3, P7_4, P7_5, P7_6, P7_7, P7_8, P7_9, P8_1, P8_10, P8_2, P8_3, P8_4, P8_5, P8_6, P8_7, P8_8, P8_9, P9_1, P9_10, P9_2, P9_3, P9_4, P9_5, P9_6, P9_7, P9_8, P9_9]';
% this is the ugly part :)
original = regexp([regexprep(this, {'\[','\]'}, {'',''}) ','], '(.*?),', 'tokens');
m = eval(regexprep(this, {'_', 'P'},{'.',''}));
[s, idx] = sort(m);
original(idx)
如您所见，这只是部分起作用，因为 "symbolic" P10_1 < P10_10，但在数值层面上，它们是相等的。所以你只需要弄清楚如何处理它，例如确保您始终有两位小数，如果没有，请补上前导零。
如果不是字符串，忽略这个:)
horchler 在评论中建议创建适当的变量名，以使使用 sort 的词典排序正常工作。我认为这是一个非常好的主意，但不幸的是他建议的格式字符串不起作用。它总是填充一个零，最后是这样的：
>> P1 = sym('P0%d_0%d',10)
P =
[ P01_01, P01_02, P01_03, P01_04, P01_05, P01_06, P01_07, P01_08, P01_09, P01_010]
[ P02_01, P02_02, P02_03, P02_04, P02_05, P02_06, P02_07, P02_08, P02_09, P02_010]
[ P03_01, P03_02, P03_03, P03_04, P03_05, P03_06, P03_07, P03_08, P03_09, P03_010]
[ P04_01, P04_02, P04_03, P04_04, P04_05, P04_06, P04_07, P04_08, P04_09, P04_010]
[ P05_01, P05_02, P05_03, P05_04, P05_05, P05_06, P05_07, P05_08, P05_09, P05_010]
[ P06_01, P06_02, P06_03, P06_04, P06_05, P06_06, P06_07, P06_08, P06_09, P06_010]
[ P07_01, P07_02, P07_03, P07_04, P07_05, P07_06, P07_07, P07_08, P07_09, P07_010]
[ P08_01, P08_02, P08_03, P08_04, P08_05, P08_06, P08_07, P08_08, P08_09, P08_010]
[ P09_01, P09_02, P09_03, P09_04, P09_05, P09_06, P09_07, P09_08, P09_09, P09_010]
[ P010_01, P010_02, P010_03, P010_04, P010_05, P010_06, P010_07, P010_08, P010_09, P010_010]
我尝试修复格式字符串但失败了。 MATLAB 拒绝接受需要的格式字符串：
>> P1 = sym('P%.2d_%.2d',10)
Error using sym>createCharMatrix (line
2172)
Symbolic matrix base name must be a
simple variable name.
Error in sym>convertCharWithOption
(line 2138)
s = createCharMatrix(x,a);
Error in sym>tomupad (line 1871)
S = convertCharWithOption(x,a);
Error in sym (line 109)
S.s = tomupad(x,a);
所以我写了自己的函数来解决这个问题：
function [ s ] = symMatrix( A,set )
%preallocate an empty matrix to fill it in the loop
s=sym(zeros(set));
%just some math t get the required amount of digits.
digits=ceil(log10(max(set)+1));
%generate format string with required digits. Check documentation of sprintf for details
format=['%s%.',num2str(digits),'d_%.',num2str(digits),'d'];
%finally go through the matrix...
for r=1:set(1)
for c=1:set(2)
%...get the right name for each variable ....
sprintf(format,A,r,c);
%...and create a variable with that name.
s(r,c)=sym(n);
end
end
end
产生这个结果：
>> P2=symMatrix('P',[11,11])
P2 =
[ P01_01, P01_02, P01_03, P01_04, P01_05, P01_06, P01_07, P01_08, P01_09, P01_10, P01_11]
[ P02_01, P02_02, P02_03, P02_04, P02_05, P02_06, P02_07, P02_08, P02_09, P02_10, P02_11]
[ P03_01, P03_02, P03_03, P03_04, P03_05, P03_06, P03_07, P03_08, P03_09, P03_10, P03_11]
[ P04_01, P04_02, P04_03, P04_04, P04_05, P04_06, P04_07, P04_08, P04_09, P04_10, P04_11]
[ P05_01, P05_02, P05_03, P05_04, P05_05, P05_06, P05_07, P05_08, P05_09, P05_10, P05_11]
[ P06_01, P06_02, P06_03, P06_04, P06_05, P06_06, P06_07, P06_08, P06_09, P06_10, P06_11]
[ P07_01, P07_02, P07_03, P07_04, P07_05, P07_06, P07_07, P07_08, P07_09, P07_10, P07_11]
[ P08_01, P08_02, P08_03, P08_04, P08_05, P08_06, P08_07, P08_08, P08_09, P08_10, P08_11]
[ P09_01, P09_02, P09_03, P09_04, P09_05, P09_06, P09_07, P09_08, P09_09, P09_10, P09_11]
[ P10_01, P10_02, P10_03, P10_04, P10_05, P10_06, P10_07, P10_08, P10_09, P10_10, P10_11]
[ P11_01, P11_02, P11_03, P11_04, P11_05, P11_06, P11_07, P11_08, P11_09, P11_10, P11_11]
最后比较三种可能性的排序：
>> P3=sym('P',[11,11])
P3 =
[ P1_1, P1_2, P1_3, P1_4, P1_5, P1_6, P1_7, P1_8, P1_9, P1_10, P1_11]
[ P2_1, P2_2, P2_3, P2_4, P2_5, P2_6, P2_7, P2_8, P2_9, P2_10, P2_11]
[ P3_1, P3_2, P3_3, P3_4, P3_5, P3_6, P3_7, P3_8, P3_9, P3_10, P3_11]
[ P4_1, P4_2, P4_3, P4_4, P4_5, P4_6, P4_7, P4_8, P4_9, P4_10, P4_11]
[ P5_1, P5_2, P5_3, P5_4, P5_5, P5_6, P5_7, P5_8, P5_9, P5_10, P5_11]
[ P6_1, P6_2, P6_3, P6_4, P6_5, P6_6, P6_7, P6_8, P6_9, P6_10, P6_11]
[ P7_1, P7_2, P7_3, P7_4, P7_5, P7_6, P7_7, P7_8, P7_9, P7_10, P7_11]
[ P8_1, P8_2, P8_3, P8_4, P8_5, P8_6, P8_7, P8_8, P8_9, P8_10, P8_11]
[ P9_1, P9_2, P9_3, P9_4, P9_5, P9_6, P9_7, P9_8, P9_9, P9_10, P9_11]
[ P10_1, P10_2, P10_3, P10_4, P10_5, P10_6, P10_7, P10_8, P10_9, P10_10, P10_11]
[ P11_1, P11_2, P11_3, P11_4, P11_5, P11_6, P11_7, P11_8, P11_9, P11_10, P11_11]
>> sort(P1(:)).' %P1 = sym('P0%d_0%d',10)
ans =
[ P01_01, P01_02, P01_03, P01_04, P01_05, P01_06, P01_07, P01_08, P01_09, P02_01, P02_02, P02_03, P02_04, P02_05, P02_06, P02_07, P02_08, P02_09, P03_01, P03_02, P03_03, P03_04, P03_05, P03_06, P03_07, P03_08, P03_09, P04_01, P04_02, P04_03, P04_04, P04_05, P04_06, P04_07, P04_08, P04_09, P05_01, P05_02, P05_03, P05_04, P05_05, P05_06, P05_07, P05_08, P05_09, P06_01, P06_02, P06_03, P06_04, P06_05, P06_06, P06_07, P06_08, P06_09, P07_01, P07_02, P07_03, P07_04, P07_05, P07_06, P07_07, P07_08, P07_09, P08_01, P08_02, P08_03, P08_04, P08_05, P08_06, P08_07, P08_08, P08_09, P09_01, P09_02, P09_03, P09_04, P09_05, P09_06, P09_07, P09_08, P09_09, P010_01, P010_02, P010_03, P010_04, P010_05, P010_06, P010_07, P010_08, P010_09, P01_010, P02_010, P03_010, P04_010, P05_010, P06_010, P07_010, P08_010, P09_010, P010_010]
>> sort(P2(:)).' %P2=symMatrix('P',[11,11])
ans =
[ P01_01, P01_02, P01_03, P01_04, P01_05, P01_06, P01_07, P01_08, P01_09, P01_10, P01_11, P02_01, P02_02, P02_03, P02_04, P02_05, P02_06, P02_07, P02_08, P02_09, P02_10, P02_11, P03_01, P03_02, P03_03, P03_04, P03_05, P03_06, P03_07, P03_08, P03_09, P03_10, P03_11, P04_01, P04_02, P04_03, P04_04, P04_05, P04_06, P04_07, P04_08, P04_09, P04_10, P04_11, P05_01, P05_02, P05_03, P05_04, P05_05, P05_06, P05_07, P05_08, P05_09, P05_10, P05_11, P06_01, P06_02, P06_03, P06_04, P06_05, P06_06, P06_07, P06_08, P06_09, P06_10, P06_11, P07_01, P07_02, P07_03, P07_04, P07_05, P07_06, P07_07, P07_08, P07_09, P07_10, P07_11, P08_01, P08_02, P08_03, P08_04, P08_05, P08_06, P08_07, P08_08, P08_09, P08_10, P08_11, P09_01, P09_02, P09_03, P09_04, P09_05, P09_06, P09_07, P09_08, P09_09, P09_10, P09_11, P10_01, P10_02, P10_03, P10_04, P10_05, P10_06, P10_07, P10_08, P10_09, P10_10, P10_11, P11_01, P11_02, P11_03, P11_04, P11_05, P11_06, P11_07, P11_08, P11_09, P11_10, P11_11]
>> sort(P3(:)).' %P3 = sym('P',10)
ans =
[ P10_1, P10_2, P10_3, P10_4, P10_5, P10_6, P10_7, P10_8, P10_9, P11_1, P11_2, P11_3, P11_4, P11_5, P11_6, P11_7, P11_8, P11_9, P10_10, P10_11, P11_10, P11_11, P1_1, P1_2, P1_3, P1_4, P1_5, P1_6, P1_7, P1_8, P1_9, P2_1, P2_2, P2_3, P2_4, P2_5, P2_6, P2_7, P2_8, P2_9, P3_1, P3_2, P3_3, P3_4, P3_5, P3_6, P3_7, P3_8, P3_9, P4_1, P4_2, P4_3, P4_4, P4_5, P4_6, P4_7, P4_8, P4_9, P5_1, P5_2, P5_3, P5_4, P5_5, P5_6, P5_7, P5_8, P5_9, P6_1, P6_2, P6_3, P6_4, P6_5, P6_6, P6_7, P6_8, P6_9, P7_1, P7_2, P7_3, P7_4, P7_5, P7_6, P7_7, P7_8, P7_9, P8_1, P8_2, P8_3, P8_4, P8_5, P8_6, P8_7, P8_8, P8_9, P9_1, P9_2, P9_3, P9_4, P9_5, P9_6, P9_7, P9_8, P9_9, P1_10, P1_11, P2_10, P2_11, P3_10, P3_11, P4_10, P4_11, P5_10, P5_11, P6_10, P6_11, P7_10, P7_11, P8_10, P8_11, P9_10, P9_11]
我该如何排序或排列这个矩阵？第 10 行现在出现在最开始，而它应该按照顺序排在第 10 位。很少有其他元素也错位在中间。在这种情况下，所有变量都是符号的。谢谢。
[ P10_1, P10_10, P10_2, P10_3, P10_4, P10_5, P10_6, P10_7, P10_8, P10_9, P1_1, P1_10, P1_2, P1_3, P1_4, P1_5, P1_6, P1_7, P1_8, P1_9, P2_1, P2_10, P2_2, P2_3, P2_4, P2_5, P2_6, P2_7, P2_8, P2_9, P3_1, P3_10, P3_2, P3_3, P3_4, P3_5, P3_6, P3_7, P3_8, P3_9, P4_1, P4_10, P4_2, P4_3, P4_4, P4_5, P4_6, P4_7, P4_8, P4_9, P5_1, P5_10, P5_2, P5_3, P5_4, P5_5, P5_6, P5_7, P5_8, P5_9, P6_1, P6_10, P6_2, P6_3, P6_4, P6_5, P6_6, P6_7, P6_8, P6_9, P7_1, P7_10, P7_2, P7_3, P7_4, P7_5, P7_6, P7_7, P7_8, P7_9, P8_1, P8_10, P8_2, P8_3, P8_4, P8_5, P8_6, P8_7, P8_8, P8_9, P9_1, P9_10, P9_2, P9_3, P9_4, P9_5, P9_6, P9_7, P9_8, P9_9]
排序函数 return this.The 第 10 行应该排在最后，但它出现在开头。
[ P10_1, P10_2, P10_3, P10_4, P10_5, P10_6, P10_7, P10_8, P10_9, P10_10, P1_1, P1_2, P1_3, P1_4, P1_5, P1_6, P1_7, P1_8, P1_9, P2_1, P2_2, P2_3, P2_4, P2_5, P2_6, P2_7, P2_8, P2_9, P3_1, P3_2, P3_3, P3_4, P3_5, P3_6, P3_7, P3_8, P3_9, P4_1, P4_2, P4_3, P4_4, P4_5, P4_6, P4_7, P4_8, P4_9, P5_1, P5_2, P5_3, P5_4, P5_5, P5_6, P5_7, P5_8, P5_9, P6_1, P6_2, P6_3, P6_4, P6_5, P6_6, P6_7, P6_8, P6_9, P7_1, P7_2, P7_3, P7_4, P7_5, P7_6, P7_7, P7_8, P7_9, P8_1, P8_2, P8_3, P8_4, P8_5, P8_6, P8_7, P8_8, P8_9, P9_1, P9_2, P9_3, P9_4, P9_5, P9_6, P9_7, P9_8, P9_9, P1_10, P2_10, P3_10, P4_10, P5_10, P6_10, P7_10, P8_10, P9_10]
我不知道你说的"symbolic"是什么意思？当它是一个字符串时，简单地将它们解析为数字（删除 'P' 并将下划线 '_' 替换为点 '.'）。 最后在保存索引的同时进行排序。
this = '[ P10_1, P10_10, P10_2, P10_3, P10_4, P10_5, P10_6, P10_7, P10_8, P10_9, P1_1, P1_10, P1_2, P1_3, P1_4, P1_5, P1_6, P1_7, P1_8, P1_9, P2_1, P2_10, P2_2, P2_3, P2_4, P2_5, P2_6, P2_7, P2_8, P2_9, P3_1, P3_10, P3_2, P3_3, P3_4, P3_5, P3_6, P3_7, P3_8, P3_9, P4_1, P4_10, P4_2, P4_3, P4_4, P4_5, P4_6, P4_7, P4_8, P4_9, P5_1, P5_10, P5_2, P5_3, P5_4, P5_5, P5_6, P5_7, P5_8, P5_9, P6_1, P6_10, P6_2, P6_3, P6_4, P6_5, P6_6, P6_7, P6_8, P6_9, P7_1, P7_10, P7_2, P7_3, P7_4, P7_5, P7_6, P7_7, P7_8, P7_9, P8_1, P8_10, P8_2, P8_3, P8_4, P8_5, P8_6, P8_7, P8_8, P8_9, P9_1, P9_10, P9_2, P9_3, P9_4, P9_5, P9_6, P9_7, P9_8, P9_9]';
% this is the ugly part :)
original = regexp([regexprep(this, {'\[','\]'}, {'',''}) ','], '(.*?),', 'tokens');
m = eval(regexprep(this, {'_', 'P'},{'.',''}));
[s, idx] = sort(m);
original(idx)
如您所见，这只是部分起作用，因为 "symbolic" P10_1 < P10_10，但在数值层面上，它们是相等的。所以你只需要弄清楚如何处理它，例如确保您始终有两位小数，如果没有，请补上前导零。
如果不是字符串，忽略这个:)
horchler 在评论中建议创建适当的变量名，以使使用 sort 的词典排序正常工作。我认为这是一个非常好的主意，但不幸的是他建议的格式字符串不起作用。它总是填充一个零，最后是这样的：
>> P1 = sym('P0%d_0%d',10)
P =
[ P01_01, P01_02, P01_03, P01_04, P01_05, P01_06, P01_07, P01_08, P01_09, P01_010]
[ P02_01, P02_02, P02_03, P02_04, P02_05, P02_06, P02_07, P02_08, P02_09, P02_010]
[ P03_01, P03_02, P03_03, P03_04, P03_05, P03_06, P03_07, P03_08, P03_09, P03_010]
[ P04_01, P04_02, P04_03, P04_04, P04_05, P04_06, P04_07, P04_08, P04_09, P04_010]
[ P05_01, P05_02, P05_03, P05_04, P05_05, P05_06, P05_07, P05_08, P05_09, P05_010]
[ P06_01, P06_02, P06_03, P06_04, P06_05, P06_06, P06_07, P06_08, P06_09, P06_010]
[ P07_01, P07_02, P07_03, P07_04, P07_05, P07_06, P07_07, P07_08, P07_09, P07_010]
[ P08_01, P08_02, P08_03, P08_04, P08_05, P08_06, P08_07, P08_08, P08_09, P08_010]
[ P09_01, P09_02, P09_03, P09_04, P09_05, P09_06, P09_07, P09_08, P09_09, P09_010]
[ P010_01, P010_02, P010_03, P010_04, P010_05, P010_06, P010_07, P010_08, P010_09, P010_010]
我尝试修复格式字符串但失败了。 MATLAB 拒绝接受需要的格式字符串：
>> P1 = sym('P%.2d_%.2d',10)
Error using sym>createCharMatrix (line
2172)
Symbolic matrix base name must be a
simple variable name.
Error in sym>convertCharWithOption
(line 2138)
s = createCharMatrix(x,a);
Error in sym>tomupad (line 1871)
S = convertCharWithOption(x,a);
Error in sym (line 109)
S.s = tomupad(x,a);
所以我写了自己的函数来解决这个问题：
function [ s ] = symMatrix( A,set )
%preallocate an empty matrix to fill it in the loop
s=sym(zeros(set));
%just some math t get the required amount of digits.
digits=ceil(log10(max(set)+1));
%generate format string with required digits. Check documentation of sprintf for details
format=['%s%.',num2str(digits),'d_%.',num2str(digits),'d'];
%finally go through the matrix...
for r=1:set(1)
for c=1:set(2)
%...get the right name for each variable ....
sprintf(format,A,r,c);
%...and create a variable with that name.
s(r,c)=sym(n);
end
end
end
产生这个结果：
>> P2=symMatrix('P',[11,11])
P2 =
[ P01_01, P01_02, P01_03, P01_04, P01_05, P01_06, P01_07, P01_08, P01_09, P01_10, P01_11]
[ P02_01, P02_02, P02_03, P02_04, P02_05, P02_06, P02_07, P02_08, P02_09, P02_10, P02_11]
[ P03_01, P03_02, P03_03, P03_04, P03_05, P03_06, P03_07, P03_08, P03_09, P03_10, P03_11]
[ P04_01, P04_02, P04_03, P04_04, P04_05, P04_06, P04_07, P04_08, P04_09, P04_10, P04_11]
[ P05_01, P05_02, P05_03, P05_04, P05_05, P05_06, P05_07, P05_08, P05_09, P05_10, P05_11]
[ P06_01, P06_02, P06_03, P06_04, P06_05, P06_06, P06_07, P06_08, P06_09, P06_10, P06_11]
[ P07_01, P07_02, P07_03, P07_04, P07_05, P07_06, P07_07, P07_08, P07_09, P07_10, P07_11]
[ P08_01, P08_02, P08_03, P08_04, P08_05, P08_06, P08_07, P08_08, P08_09, P08_10, P08_11]
[ P09_01, P09_02, P09_03, P09_04, P09_05, P09_06, P09_07, P09_08, P09_09, P09_10, P09_11]
[ P10_01, P10_02, P10_03, P10_04, P10_05, P10_06, P10_07, P10_08, P10_09, P10_10, P10_11]
[ P11_01, P11_02, P11_03, P11_04, P11_05, P11_06, P11_07, P11_08, P11_09, P11_10, P11_11]
最后比较三种可能性的排序：
>> P3=sym('P',[11,11])
P3 =
[ P1_1, P1_2, P1_3, P1_4, P1_5, P1_6, P1_7, P1_8, P1_9, P1_10, P1_11]
[ P2_1, P2_2, P2_3, P2_4, P2_5, P2_6, P2_7, P2_8, P2_9, P2_10, P2_11]
[ P3_1, P3_2, P3_3, P3_4, P3_5, P3_6, P3_7, P3_8, P3_9, P3_10, P3_11]
[ P4_1, P4_2, P4_3, P4_4, P4_5, P4_6, P4_7, P4_8, P4_9, P4_10, P4_11]
[ P5_1, P5_2, P5_3, P5_4, P5_5, P5_6, P5_7, P5_8, P5_9, P5_10, P5_11]
[ P6_1, P6_2, P6_3, P6_4, P6_5, P6_6, P6_7, P6_8, P6_9, P6_10, P6_11]
[ P7_1, P7_2, P7_3, P7_4, P7_5, P7_6, P7_7, P7_8, P7_9, P7_10, P7_11]
[ P8_1, P8_2, P8_3, P8_4, P8_5, P8_6, P8_7, P8_8, P8_9, P8_10, P8_11]
[ P9_1, P9_2, P9_3, P9_4, P9_5, P9_6, P9_7, P9_8, P9_9, P9_10, P9_11]
[ P10_1, P10_2, P10_3, P10_4, P10_5, P10_6, P10_7, P10_8, P10_9, P10_10, P10_11]
[ P11_1, P11_2, P11_3, P11_4, P11_5, P11_6, P11_7, P11_8, P11_9, P11_10, P11_11]
>> sort(P1(:)).' %P1 = sym('P0%d_0%d',10)
ans =
[ P01_01, P01_02, P01_03, P01_04, P01_05, P01_06, P01_07, P01_08, P01_09, P02_01, P02_02, P02_03, P02_04, P02_05, P02_06, P02_07, P02_08, P02_09, P03_01, P03_02, P03_03, P03_04, P03_05, P03_06, P03_07, P03_08, P03_09, P04_01, P04_02, P04_03, P04_04, P04_05, P04_06, P04_07, P04_08, P04_09, P05_01, P05_02, P05_03, P05_04, P05_05, P05_06, P05_07, P05_08, P05_09, P06_01, P06_02, P06_03, P06_04, P06_05, P06_06, P06_07, P06_08, P06_09, P07_01, P07_02, P07_03, P07_04, P07_05, P07_06, P07_07, P07_08, P07_09, P08_01, P08_02, P08_03, P08_04, P08_05, P08_06, P08_07, P08_08, P08_09, P09_01, P09_02, P09_03, P09_04, P09_05, P09_06, P09_07, P09_08, P09_09, P010_01, P010_02, P010_03, P010_04, P010_05, P010_06, P010_07, P010_08, P010_09, P01_010, P02_010, P03_010, P04_010, P05_010, P06_010, P07_010, P08_010, P09_010, P010_010]
>> sort(P2(:)).' %P2=symMatrix('P',[11,11])
ans =
[ P01_01, P01_02, P01_03, P01_04, P01_05, P01_06, P01_07, P01_08, P01_09, P01_10, P01_11, P02_01, P02_02, P02_03, P02_04, P02_05, P02_06, P02_07, P02_08, P02_09, P02_10, P02_11, P03_01, P03_02, P03_03, P03_04, P03_05, P03_06, P03_07, P03_08, P03_09, P03_10, P03_11, P04_01, P04_02, P04_03, P04_04, P04_05, P04_06, P04_07, P04_08, P04_09, P04_10, P04_11, P05_01, P05_02, P05_03, P05_04, P05_05, P05_06, P05_07, P05_08, P05_09, P05_10, P05_11, P06_01, P06_02, P06_03, P06_04, P06_05, P06_06, P06_07, P06_08, P06_09, P06_10, P06_11, P07_01, P07_02, P07_03, P07_04, P07_05, P07_06, P07_07, P07_08, P07_09, P07_10, P07_11, P08_01, P08_02, P08_03, P08_04, P08_05, P08_06, P08_07, P08_08, P08_09, P08_10, P08_11, P09_01, P09_02, P09_03, P09_04, P09_05, P09_06, P09_07, P09_08, P09_09, P09_10, P09_11, P10_01, P10_02, P10_03, P10_04, P10_05, P10_06, P10_07, P10_08, P10_09, P10_10, P10_11, P11_01, P11_02, P11_03, P11_04, P11_05, P11_06, P11_07, P11_08, P11_09, P11_10, P11_11]
>> sort(P3(:)).' %P3 = sym('P',10)
ans =
[ P10_1, P10_2, P10_3, P10_4, P10_5, P10_6, P10_7, P10_8, P10_9, P11_1, P11_2, P11_3, P11_4, P11_5, P11_6, P11_7, P11_8, P11_9, P10_10, P10_11, P11_10, P11_11, P1_1, P1_2, P1_3, P1_4, P1_5, P1_6, P1_7, P1_8, P1_9, P2_1, P2_2, P2_3, P2_4, P2_5, P2_6, P2_7, P2_8, P2_9, P3_1, P3_2, P3_3, P3_4, P3_5, P3_6, P3_7, P3_8, P3_9, P4_1, P4_2, P4_3, P4_4, P4_5, P4_6, P4_7, P4_8, P4_9, P5_1, P5_2, P5_3, P5_4, P5_5, P5_6, P5_7, P5_8, P5_9, P6_1, P6_2, P6_3, P6_4, P6_5, P6_6, P6_7, P6_8, P6_9, P7_1, P7_2, P7_3, P7_4, P7_5, P7_6, P7_7, P7_8, P7_9, P8_1, P8_2, P8_3, P8_4, P8_5, P8_6, P8_7, P8_8, P8_9, P9_1, P9_2, P9_3, P9_4, P9_5, P9_6, P9_7, P9_8, P9_9, P1_10, P1_11, P2_10, P2_11, P3_10, P3_11, P4_10, P4_11, P5_10, P5_11, P6_10, P6_11, P7_10, P7_11, P8_10, P8_11, P9_10, P9_11]