1 | jacobiM.m2.sing 1> ring R = (0,a,b,c, d,e,f, g,h),(x,y), dp; |
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2 | jacobiM.m2.sing 2> |
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3 | jacobiM.m2.sing 3. LIB "matrix.lib"; |
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4 | jacobiM.m2.sing 5. proc jacobM(matrix M) |
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5 | jacobiM.m2.sing 6. { |
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6 | jacobiM.m2.sing 7. int n=nvars(basering); |
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7 | jacobiM.m2.sing 9. matrix B=transpose(diff(M,var(1))); |
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8 | jacobiM.m2.sing 11. int i; |
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9 | jacobiM.m2.sing 13. for(i=2;i<=n;i++) |
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10 | jacobiM.m2.sing 15. { |
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11 | jacobiM.m2.sing 17. B=concat(B,transpose(diff(M,var(i)))); |
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12 | jacobiM.m2.sing 19. } |
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13 | jacobiM.m2.sing 21. return(transpose(B)); |
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14 | jacobiM.m2.sing 23. } |
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15 | jacobiM.m2.sing 24> |
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16 | jacobiM.m2.sing 25. |
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17 | jacobiM.m2.sing 26. |
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18 | jacobiM.m2.sing 27. module M = [(a*x+b*y)]; |
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19 | jacobiM.m2.sing 28> |
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20 | jacobiM.m2.sing 29. print(M); |
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21 | (a)*x+(b)*y |
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22 | jacobiM.m2.sing 30> |
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23 | jacobiM.m2.sing 31. print(diff(M, x)); |
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24 | (a) |
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25 | jacobiM.m2.sing 32> print(diff(M, y)); |
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26 | (b) |
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27 | jacobiM.m2.sing 33> |
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28 | jacobiM.m2.sing 34. print(jacobM(M)); |
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29 | (a), |
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30 | (b) |
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31 | jacobiM.m2.sing 35> print(jacob(M[1][1])); |
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32 | (a), |
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33 | (b) |
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34 | jacobiM.m2.sing 36> |
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35 | jacobiM.m2.sing 37. |
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36 | jacobiM.m2.sing 38. |
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37 | jacobiM.m2.sing 39. |
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38 | jacobiM.m2.sing 40. M = [a*x+b*y], [c*x+d*y]; |
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39 | jacobiM.m2.sing 41> |
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40 | jacobiM.m2.sing 42. print(M); |
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41 | (a)*x+(b)*y,(c)*x+(d)*y |
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42 | jacobiM.m2.sing 43> |
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43 | jacobiM.m2.sing 44. print(diff(M, x)); |
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44 | (a),(c) |
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45 | jacobiM.m2.sing 45> print(diff(M, y)); |
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46 | (b),(d) |
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47 | jacobiM.m2.sing 46> |
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48 | jacobiM.m2.sing 47. print(jacob(ideal(M[1][1], M[2][1]))); |
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49 | (a),(b), |
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50 | (c),(d) |
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51 | jacobiM.m2.sing 48> print(jacobM(M)); // BUG! This is inconsistent with jacob. see before!!!! (but it is the same as in M2!) |
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52 | (a),(c), |
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53 | (b),(d) |
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54 | jacobiM.m2.sing 49> |
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55 | jacobiM.m2.sing 50. |
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56 | jacobiM.m2.sing 51. |
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57 | jacobiM.m2.sing 52. |
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58 | jacobiM.m2.sing 53. |
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59 | jacobiM.m2.sing 54. M = [(a*x+b*y),(c*x+d*y)]; |
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60 | jacobiM.m2.sing 55> |
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61 | jacobiM.m2.sing 56. print(M); |
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62 | (a)*x+(b)*y, |
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63 | (c)*x+(d)*y |
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64 | jacobiM.m2.sing 57> |
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65 | jacobiM.m2.sing 58. |
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66 | jacobiM.m2.sing 59. print(diff(M, x)); // BUG: wrong result!!!! |
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67 | (a) |
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68 | jacobiM.m2.sing 60> print(diff(M, y)); // BUG: wrong result!!!! |
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69 | (b) |
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70 | jacobiM.m2.sing 61> |
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71 | jacobiM.m2.sing 62. print(jacobM(M)); // BUG! This is inconsistent with jacob. see before!!!! (but it is the same as in M2!) |
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72 | (a), |
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73 | (c), |
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74 | (b), |
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75 | (d) |
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76 | jacobiM.m2.sing 63> |
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77 | jacobiM.m2.sing 64. |
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78 | jacobiM.m2.sing 65. |
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79 | jacobiM.m2.sing 66. matrix MM[2][2] = a*x+b*y, c*x+d*y, e*x+f*y, g*x+h*y; |
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80 | jacobiM.m2.sing 67> print(MM); |
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81 | (a)*x+(b)*y,(c)*x+(d)*y, |
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82 | (e)*x+(f)*y,(g)*x+(h)*y |
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83 | jacobiM.m2.sing 68> |
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84 | jacobiM.m2.sing 69. print(diff(MM, x)); // Correct!!!! |
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85 | (a),(c), |
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86 | (e),(g) |
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87 | jacobiM.m2.sing 70> print(diff(MM, y)); // Correct!!!! |
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88 | (b),(d), |
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89 | (f),(h) |
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90 | jacobiM.m2.sing 71> |
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91 | jacobiM.m2.sing 72. print(jacobM(MM)); // BUG! This is inconsistent with jacob. see before!!!! (but it is the same as in M2!) |
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92 | (a),(c), |
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93 | (e),(g), |
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94 | (b),(d), |
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95 | (f),(h) |
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96 | jacobiM.m2.sing 73> |
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97 | jacobiM.m2.sing 74. |
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98 | jacobiM.m2.sing 75. |
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99 | jacobiM.m2.sing 76. |
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100 | jacobiM.m2.sing 77. M = [(a*x+b*y),(e*x+f*y)], [(c*x+d*y), (g*x+h*y)]; |
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101 | jacobiM.m2.sing 78> |
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102 | jacobiM.m2.sing 79. print(M); |
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103 | (a)*x+(b)*y,(c)*x+(d)*y, |
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104 | (e)*x+(f)*y,(g)*x+(h)*y |
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105 | jacobiM.m2.sing 80> |
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106 | jacobiM.m2.sing 81. print(diff(M, x)); // BUG: again wrong result!!!! |
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107 | (a),(c) |
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108 | jacobiM.m2.sing 82> print(diff(M, y)); // BUG: again wrong result!!!! |
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109 | (b),(d) |
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110 | jacobiM.m2.sing 83> |
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111 | jacobiM.m2.sing 84. |
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112 | jacobiM.m2.sing 85. print(jacobM(M)); // BUG! This is inconsistent with jacob. see before!!!! (but it is the same as in M2!) |
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113 | (a),(c), |
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114 | (e),(g), |
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115 | (b),(d), |
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116 | (f),(h) |
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117 | jacobiM.m2.sing 86> |
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118 | jacobiM.m2.sing 87. |
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119 | jacobiM.m2.sing 88. $$$ |
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120 | $Bye. |
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