Timeline for Big O notation and the maximal set of comparable functions
Current License: CC BY-SA 2.5
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 10, 2010 at 14:58 | comment | added | Joel David Hamkins | If you use functions with nonzero finite limit, then they would seem to be all in just one equivalence class. For example, if $f(x)\to 2$ and $g(x)\to 5$, then $f\leq g$ and $g\leq f$ by choosing the right $C$ in each case. | |
| Nov 10, 2010 at 4:58 | comment | added | Mariano Suárez-Álvarez | The right hand side of the $\Leftrightarrow$ is pretty strange. You meant to say that the limit exists, or that the $\limsup$ is finite, or that $|f/g|$ is bounded on some right half-line; but what you wrote is more or less meaningless. | |
| Nov 10, 2010 at 4:51 | comment | added | Gerry Myerson | I fixed the \lim. | |
| Nov 10, 2010 at 4:50 | history | edited | Gerry Myerson | CC BY-SA 2.5 |
improved formatting
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| Nov 10, 2010 at 4:49 | comment | added | Yuval Filmus | Can't you add $f(x)=x$ to your set? | |
| Nov 10, 2010 at 4:36 | comment | added | Dirk | Concerning the LaTeX-question: Probably you just forgot the backslash in front of lim? | |
| Nov 10, 2010 at 4:06 | comment | added | Ross Millikan | If anybody can explain why the $x\rightarrow \infty$ didn't go under the $lim$ in the last I would appreciate it. Still learning LaTex. | |
| Nov 10, 2010 at 3:44 | history | answered | Ross Millikan | CC BY-SA 2.5 |