Timeline for Examples of common false beliefs in mathematics
Current License: CC BY-SA 2.5
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 5 at 0:08 | comment | added | Wlod AA | The above def. of polymod is written unclearly. It'd be nice to include the (clear!) definition at the end of the question. | |
| Jun 25, 2013 at 3:02 | review | Late answers | |||
| Jun 26, 2013 at 21:42 | |||||
| Oct 23, 2010 at 15:22 | comment | added | Anonymous | $\mathrm{polymod}$ is "polynomial mod". Two polynomials are congruent $\mathrm{polymod} p$ iff the coefficients each power of the variable are congruent $\pmod{p}$. The equivalence classes are sets of polynomials where each coefficient ranges over an equivalence class $\pmod{p}$. For the cousin, there are many local/globals but they all seem to require additional conditions (q.v. Hensel lifting). I think the set from which $x$ was chosen was left unspecified because this "imprecise mental abbreviation" pops up at various levels of sophistication each with a different such set. | |
| Oct 20, 2010 at 18:40 | comment | added | zhoraster | Consequently, there are only $4$ polynomials over $\mathbb F_2$ Isn't this convenient? :-) | |
| Oct 20, 2010 at 18:33 | comment | added | zhoraster | Probably I understand what this means: if $f(x)=0\pmod 2$ for all $x$, then $f=0$ over $\mathbb F_2$. This is similar to my second example: mathoverflow.net/questions/23478/… | |
| Oct 20, 2010 at 18:25 | comment | added | Mariano Suárez-Álvarez | Either the cousin needs a bit more detail if it is to be false, it is quite naive! | |
| Oct 20, 2010 at 11:47 | comment | added | darij grinberg | What does polymod mean? | |
| Oct 20, 2010 at 4:02 | history | answered | Anonymous | CC BY-SA 2.5 |