Timeline for Zero result from a positive integral
Current License: CC BY-SA 4.0
11 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 30, 2022 at 12:44 | comment | added | John Doty | @Roman has hit the heart of the matter: mathematics as practiced by most of us is useful. Sophistry is useless. | |
| Mar 30, 2022 at 10:41 | comment | added | user64494 | @Roman: You open an opened door, repeating a part of my answer in other words. | |
| Mar 30, 2022 at 8:00 | comment | added | Roman | Technically you are right; in practice, this answer is useless because wrong for all values of $a,b,c$. What the OP wants is an expression that gives the integral in question, and not a counter-factual but "technically correct" mathematical subtlety. "The integral is zero whenever your parameters satisfy a non-satisfiable condition" is not a useful answer; calling it "mathematically correct" does not help in practice. | |
| Mar 30, 2022 at 5:53 | comment | added | user64494 | @Roman: Here is a simpler example of such true proposition: if $2+2=5$, then $2+3=6$. | |
| Mar 30, 2022 at 5:23 | comment | added | user64494 | @Roman: Master your math. The Mathematica answer claims that the integral equals zero under the certain impossible condition. Don't hesitate to ask for further explanation in need. | |
| Mar 28, 2022 at 8:16 | comment | added | Roman | –1: your answer is obviously wrong. A simple With[{a = 0.2, b = 0.3, c = 0.4}, LogPlot[1/((-(a - I b) + (x + I c)^2) (-(a + I b) + (x - I c)^2)), {x, -10, 10}]] shows that the integrand is positive-definite and therefore the integral must be positive for these specific values of $a, b, c$ (which I've picked at random). | |
| Mar 26, 2022 at 13:01 | history | edited | user64494 | CC BY-SA 4.0 | added 58 characters in body |
| Mar 26, 2022 at 12:47 | history | edited | user64494 | CC BY-SA 4.0 | added 1 character in body |
| Mar 26, 2022 at 12:37 | history | edited | user64494 | CC BY-SA 4.0 | added 107 characters in body |
| Mar 26, 2022 at 12:36 | comment | added | user64494 | Please explain the down-vote. What is incorrect in my answer? | |
| Mar 26, 2022 at 12:30 | history | answered | user64494 | CC BY-SA 4.0 |