Talk:Summation chart: Difference between revisions

The official GemStone IV encyclopedia.
Jump to navigation Jump to search
mNo edit summary
(2nd option for gamma that kind of nicely matches 2nd r=)
 
(3 intermediate revisions by 2 users not shown)
Line 6: Line 6:


<div {{prettydiv|margin-right=70%}}>'''r = (n/2)(n+2σ-1)'''</div>
<div {{prettydiv|margin-right=70%}}>'''r = (n/2)(n+2σ-1)'''</div>
{{Equation box|<math>\mathrm{r = \left( \frac{n^2 + 2n\sigma - n}{2}\right)}</math>}}
{{Equation box|<math>\mathrm{r = \left( \frac{n^2 + 2n\sigma - n}{2}\right)}</math>}} or {{Equation box|<math>\mathrm{r = \frac{n^2 - n}{2} + n\sigma }</math>}}


<div {{prettydiv|margin-right=70%}}>'''σ = (1/2)(1+2r/n-n)'''</div>
<div {{prettydiv|margin-right=70%}}>'''σ = (1/2)(1+2r/n-n)'''</div>
{{Equation box|<math>\mathrm{\sigma = .5 + \frac{r}{n} - \frac{n}{2}}</math>}}
{{Equation box|<math>\mathrm{\sigma = \frac{1}{2} + \frac{r}{n} - \frac{n}{2}}</math>}} or {{Equation box|<math>\mathrm{\sigma = \frac{1-n}{2} + \frac{r}{n} }</math>}}


Obviously I didn't go for a direct translation, I tried to do some math. I'm sure it can be improved. [[User:VANKRASN39|VANKRASN39]] ([[User talk:VANKRASN39|talk]]) 17:52, 4 October 2016 (CDT)
Obviously I didn't go for a direct translation, I tried to do some math. I'm sure it can be improved. [[User:VANKRASN39|VANKRASN39]] ([[User talk:VANKRASN39|talk]]) 17:52, 4 October 2016 (CDT)

:: or {{Equation box|<math>\mathrm{r = \frac{1}{2} \Big( n^2 + 2n\sigma - n\Big)}</math>}}
[[User:DAID|DAID]] ([[User talk:DAID|talk]]) 17:00, 5 October 2016 (CDT)

Latest revision as of 17:16, 5 October 2016

Math Code

Proposed math code, please check/correct:

n = trunc[ 1-σ + sqrt[(σ-1)^2+2r] ]
r = (n/2)(n+2σ-1)

or

σ = (1/2)(1+2r/n-n)

or

Obviously I didn't go for a direct translation, I tried to do some math. I'm sure it can be improved. VANKRASN39 (talk) 17:52, 4 October 2016 (CDT)

or

DAID (talk) 17:00, 5 October 2016 (CDT)