Timeline for Suggestions for good notation
Current License: CC BY-SA 4.0
12 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 17, 2021 at 16:20 | comment | added | Terry Tao | Oops, somehow that typo got missed for a decade. Fixed now. | |
| Dec 17, 2021 at 16:20 | history | edited | Terry Tao | CC BY-SA 4.0 |
edited body
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| Dec 17, 2021 at 5:17 | comment | added | LSpice | Why does the sense of the big-$O$ notation switch between $X = O_k(Y)$ ($\lvert X\rvert$ is majorised by a constant multiple of $Y$) and $X = O_{n \to \infty; k}(Y)$ ($\lvert X\rvert$ is minorised by a constant multiple of $Y$)? | |
| Jan 30, 2013 at 19:18 | comment | added | Anton Petrunin | I think O-o notation is one of the worse. It does not worth to improve --- better to start from scratch. | |
| Oct 22, 2010 at 6:08 | comment | added | Quadrescence | Chang: definite sums can depend on their upper index. | |
| Oct 22, 2010 at 1:07 | comment | added | Hsien-Chih Chang 張顯之 | The "really" big-O notation is a little bit confusing; since normally we write summation like this with $Y$ depends on the parameter $k$, but here we have the constant $C_k$ depends on it instead. | |
| Oct 21, 2010 at 17:34 | comment | added | Quadrescence | Maybe it's time for you to go to really big-O notation: $X=\underset{n\to\infty}{\overset{k}{\LARGE\mathcal O}} Y$ for $O(\cdot)$ and then $f_n(y)=f_n(x)+\underset{|y-x|\to 0}{\overset{F}{\LARGE\mathrm O}} 1$. for $o(\cdot)$. :D | |
| Oct 21, 2010 at 17:21 | comment | added | Terry Tao | Fair enough. I did it the other way initially to compare the uniform and non-uniform notions, but I've edited the non-uniform notions to reflect the more intuitive subscripting you propose. | |
| Oct 21, 2010 at 17:18 | history | edited | Terry Tao | CC BY-SA 2.5 |
added 26 characters in body; deleted 12 characters in body
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| Oct 21, 2010 at 17:18 | comment | added | Ryan Reich | The subscripts seem a little bulky. Couldn't you just write, e.g. $f(y) = f(x) + o_{y \to x; f,x}(1)$? I guess it's not really changing much. | |
| Oct 21, 2010 at 17:12 | history | edited | Terry Tao | CC BY-SA 2.5 |
deleted 5 characters in body; added 282 characters in body
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| Oct 21, 2010 at 17:05 | history | answered | Terry Tao | CC BY-SA 2.5 |