spielwiese
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Last change
on this file since 293722 was
293722,
checked in by Viktor Levandovskyy <levandov@…>, 14 years ago
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*levandov: tests for new functions in doc, for plural
git-svn-id: file:///usr/local/Singular/svn/trunk@12656 2c84dea3-7e68-4137-9b89-c4e89433aadc
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Property mode set to
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File size:
647 bytes
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| [293722] | 1 | LIB "tst.lib"; |
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| 2 | tst_init(); |
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| 3 | LIB "dmod.lib"; |
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| 4 | ring r = 0,(x,y),dp; |
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| 5 | poly f = x^3+xy; |
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| 6 | def S = Sannfs(f); setring S; // compute the annihilator of f^s |
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| 7 | LD; // is not a Groebner basis yet! |
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| 8 | poly f = imap(r,f); |
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| 9 | poly P = f*Dx-s*diff(f,x); |
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| 10 | division(P,LD); // so P is in the ideal via the cofactors in _[1] |
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| 11 | ideal I = LD, f; // consider a bigger ideal |
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| 12 | list L = division(s^2, I); // the normal form is -2s-1 |
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| 13 | L; |
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| 14 | // now we show that the formula above holds |
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| 15 | matrix M[1][1] = s^2; matrix N = matrix(I); |
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| 16 | matrix T = matrix(L[1]); matrix R = matrix(L[2]); matrix U = matrix(L[3]); |
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| 17 | transpose(U)*transpose(M) - transpose(T)*transpose(N) - transpose(R); |
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| 18 | tst_status(1);$ |
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