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Results tagged with elimination-theory
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user 11260
Elimination theory is the study of necessary and sufficient conditions for polynomial equations (E) to have solutions.In the homogeneous case, if the number of variables is equal to the number of equations, this leads to the study of the Resultant (polynomial in the coefficients of (E), obtained by "eliminating" the variables ). In the general case, one get a Resultant ideal, generated by polynomial relations in the coefficients of the equations (E).
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History of Sylvester's resultant?
The resultant of the Sylvester matrix first appeared in J. J. Sylvester, Philos. Magazine 16, 132–135 (1840): A method of determining by mere inspection the derivatives from two equations of any degre …
- 188k
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How did Hilbert prove the Nullstellensatz?
Here is a scan of the relevant pages from the english translation of Hilbert's 1893 paper.
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