Timeline for How to represent the floor function using mathematical notation?
Current License: CC BY-SA 3.0
16 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 24, 2022 at 18:56 | comment | added | Mister SirCode | This is just a feedback loop of math implementations, since the most common modulo operator requires the use of the floor function, which is here represented using modulo... see the issue? | |
| May 12, 2013 at 20:47 | history | edited | newzad | CC BY-SA 3.0 | added 1 characters in body |
| May 12, 2013 at 20:44 | comment | added | agks mehx | @J.M. the singularities help solve the problem. here is the interpretation of the notation: "walk clockwise a circle of radius 0.5/pi until you have covered a distance of x. then walk counter-clockwise back to your starting point and subtract from x the distance you walked back" (no singularities; just a bit of centrifugal force if you're in a hurry ;p ) | |
| May 12, 2013 at 15:12 | comment | added | J. M. ain't a mathematician | @agks, it also has not a few removable singularities... | |
| May 12, 2013 at 14:21 | history | edited | hmakholm left over Monica | CC BY-SA 3.0 | dummy edit to retract downvote now that Zev got his badge :-) |
| May 12, 2013 at 8:36 | comment | added | agks mehx | did nobody notice the directly computable answer below? ⌊x⌋=(x−0.5)−arctan(tan(π(x−0.5)))π | |
| May 12, 2013 at 5:45 | history | edited | newzad | CC BY-SA 3.0 | added 2 characters in body |
| May 12, 2013 at 5:45 | comment | added | newzad | @DominicMichaelis you are right, now I edit. | |
| May 12, 2013 at 5:43 | comment | added | Dominic Michaelis | I would apply mod to the whole expression which would yield zero ... | |
| May 12, 2013 at 5:09 | comment | added | Zev Chonoles | @newzad: The notation $\lfloor x\rfloor$ also has no words, and is much more widely accepted by mathematicians. | |
| May 12, 2013 at 5:07 | comment | added | newzad | @MarianoSuárez-Alvarez Yes, it is not a mathematical notation but it is a notation without words. | |
| May 12, 2013 at 5:05 | comment | added | Mariano Suárez-Álvarez | This is a notation that I think most mathematicians would not consider standard... | |
| May 12, 2013 at 3:59 | comment | added | Cisplatin | This is exactly what I was looking for - @J.M. I suppose it is very subjective, but I'd consider modulo to be a much simpler concept than the concepts that other answers are using | |
| May 12, 2013 at 3:56 | vote | accept | Cisplatin | ||
| May 12, 2013 at 14:41 | |||||
| May 12, 2013 at 3:53 | comment | added | J. M. ain't a mathematician | Follow-up: "How to represent $\bmod$ using mathematical notation?" | |
| May 12, 2013 at 3:52 | history | answered | newzad | CC BY-SA 3.0 |