Timeline for Determining Inconsistency of (first-order) Non-linear System of Equations [closed]
Current License: CC BY-SA 3.0
13 events
| when toggle format | what | by | license | comment | |
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| Feb 24, 2016 at 14:19 | history | closed |
Daniel Moskovich Franz Lemmermeyer Wolfgang Alexey Ustinov user1688 |
Not suitable for this site | |
| Feb 24, 2016 at 13:20 | comment | added | Igor Khavkine | Ah, yes you're right. Sorry, they were very well hidden. I missed them even after double checking! | |
| Feb 24, 2016 at 10:41 | comment | added | Jousha | @Igor Khavkine: Not quite right. Note that for instance in the first two equations you have constant terms in the equations. So a trivial solution will only be a valid solution if the coefficients involved in those constant terms are also 0. | |
| Feb 24, 2016 at 2:08 | comment | added | Igor Khavkine | As I understand your question, your system of equations will be inconsistent if it has no solutions. However, it is clear that setting $y_i = 0$ for all $i$ gives a solution, whatever the values of the unfixed coefficients. Hence, since the system always has at least one solution, I don't see how it can ever be inconsistent. Perhaps you need to refine your question to avoid this trivial answer. | |
| Feb 23, 2016 at 22:18 | comment | added | Gerry Myerson | Then maybe you should say so, Jousha. | |
| Feb 23, 2016 at 22:13 | comment | added | Jousha | @jeq yes y_1 is 0. I know I could have modified the other equations accordingly rather than having to add the last equation ... | |
| Feb 23, 2016 at 22:10 | comment | added | Jousha | @Gerry Myerson as a matter of fact I need the solutions over a finite field | |
| Feb 23, 2016 at 21:33 | comment | added | Gerry Myerson | Why the "finite fields" tag? | |
| S Feb 23, 2016 at 21:11 | history | suggested | CommunityBot | CC BY-SA 3.0 |
MathJax correction.
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| Feb 23, 2016 at 20:46 | review | Suggested edits | |||
| S Feb 23, 2016 at 21:11 | |||||
| Feb 23, 2016 at 20:31 | review | Close votes | |||
| Feb 24, 2016 at 14:19 | |||||
| Feb 23, 2016 at 19:34 | review | First posts | |||
| Feb 23, 2016 at 20:14 | |||||
| Feb 23, 2016 at 19:33 | history | asked | Jousha | CC BY-SA 3.0 |