Timeline for Degree of multivariate polynomials with weights
Current License: CC BY-SA 3.0
15 events
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| Apr 13, 2017 at 12:56 | history | edited | CommunityBot |
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| Jan 25, 2017 at 0:11 | comment | added | Mr.Wizard | @Daniel Thanks for coming to the rescue. | |
| Jan 25, 2017 at 0:11 | history | edited | Mr.Wizard | CC BY-SA 3.0 |
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| Jan 24, 2017 at 19:30 | comment | added | Daniel Lichtblau |
Also there is GroebnerBasis`DistributedTermsList[p, {x, y, z}, MonomialOrder -> Join[{wts}, NullSpace[{wts}]]][[1, 1, 1]].wts where wts is the weight vector. Requires that it be all nonnegative rationals, I think.
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| Jan 24, 2017 at 19:26 | comment | added | Daniel Lichtblau |
I would recommend using a new variable and just reweighting. That new variable should not be a built-in symbol such as E. wts = {1, 1, 2}; vars = {x, y, z}; Exponent[p /. Thread[vars -> (t*vars)^wts], t] Also, the method above will fail on p = x^2 y + z^3 - y^6 (because it is not safe against cancellation of lead terms).
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| Jan 24, 2017 at 12:48 | history | edited | Mr.Wizard | CC BY-SA 3.0 |
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| Jan 24, 2017 at 12:46 | vote | accept | Smilia | ||
| Jan 24, 2017 at 12:36 | history | edited | Mr.Wizard | CC BY-SA 3.0 |
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| Jan 24, 2017 at 12:32 | comment | added | Mr.Wizard |
@Smilia I don't know why but I overlooked your final line of code and made a bad guess as to how to use g. I think I see what you want now? I shall update my answer. Please let me know. If I still fail I'll delete this answer.
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| Jan 24, 2017 at 12:20 | comment | added | Smilia | Ok, here you go a definition in the preambule of the degree of multivariate polynomial: en.wikipedia.org/wiki/Degree_of_a_polynomial | |
| Jan 24, 2017 at 12:11 | comment | added | Mr.Wizard | @Smilia I am probably being obtuse or ignorant but would you please explain for me how the degree is 3 there? | |
| Jan 24, 2017 at 12:02 | vote | accept | Smilia | ||
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| Jan 24, 2017 at 12:02 | comment | added | Smilia | No, it doesn't answer the question: take $p = x^2 y + y$, $deg(p) = 3$ but it's not what you compute.... | |
| Jan 24, 2017 at 10:41 | vote | accept | Smilia | ||
| Jan 24, 2017 at 12:00 | |||||
| Jan 24, 2017 at 10:21 | history | answered | Mr.Wizard | CC BY-SA 3.0 |