Timeline for Prove inequality: $2\Big[ \sum_{k=0}^{n} (k+1) a_k \Big]^2 -\Big[1+ \sum_{k=0}^{n} a_k \Big]\Big[ \sum_{k=0}^{n} k(k+1)a_k \Big] \geq 0.$
Current License: CC BY-SA 4.0
14 events
| when toggle format | what | by | license | comment | |
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| Jan 30 at 20:51 | vote | accept | Prakirt Raj | ||
| Jan 24 at 15:35 | comment | added | Iosif Pinelis | @mathworker21 : Let me rephrase (i): where using $N$ instead of $n$ is not an advantage, why use $N$ instead of $n$? Does this question sound reasonable to you? In your example, using $N$ along with $n$ does seem an advantage, and there using $n$ in place of $N$ would certainly not do. In contrast, in the OP on this page, using $n$ in place of $N$ certainly works quite well. So, your example is about something that I never said or meant. | |
| Jan 24 at 6:09 | comment | added | mathworker21 | @IosifPinelis lol. (i) is not a reason, just a restatement. In analytic number theory, one will often sum over $n$ in the range $n \in [N,2N)$, and will write $n \sim N$ as shorthand, in the bottom of the summation. It is very useful (psychologically, of course) to have lower case letters be of the same size as their upper case counterparts. | |
| Jan 24 at 4:10 | comment | added | Iosif Pinelis | @MichaelEngelhardt : Fixed it. | |
| Jan 24 at 4:10 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
edited title
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| Jan 24 at 4:09 | comment | added | Iosif Pinelis | @mathworker21 : (i) There is no reason to use $N$ where $n$ will do. (ii) For each entry of $n$ instead of $N$, one keystroke is saved. | |
| Jan 24 at 4:06 | comment | added | Michael Engelhardt | @IosifPinelis - you introduced a typo into the title ... | |
| Jan 24 at 3:49 | comment | added | mathworker21 | @IosifPinelis Why? | |
| Jan 24 at 3:33 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
edited title
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| Jan 24 at 3:28 | comment | added | Iosif Pinelis | Do not use $N$ where $n$ will do. I have edited accordingly. | |
| Jan 24 at 3:10 | answer | added | Iosif Pinelis | timeline score: 6 | |
| Jan 24 at 3:02 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
deleted 18 characters in body
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| S Jan 24 at 0:10 | review | First questions | |||
| Jan 24 at 4:25 | |||||
| S Jan 24 at 0:10 | history | asked | Prakirt Raj | CC BY-SA 4.0 |