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| {{math|display=inline|formula=({3.2 \over 100})^{0.2} * ( 1 + 20% ) = 60.2853% }} <br> | | {{math|display=inline|formula=({3.2 \over 100})^{0.2} * ( 1 + 20% ) = 60.2853% }} <br> |
| which do '''not''' match the values in the Explanation. | | which do '''not''' match the values in the Explanation. |
| —[[User:Psychomap]] 05:05, 29 January 2022 (UTC) | | —[[User:Psychomap|Psychomap]] 05:05, 29 January 2022 (UTC) |
Revision as of 05:08, 29 January 2022
Formula seems inaccurate
The formula, ![{\textstyle \color [rgb]{0.6392156862745098,0.5529411764705883,0.42745098039215684}E={5 \over 6}*({D \over L})^{0.2}*(1+M)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/867523f5ca1e973169a7b9131c9cc7fb761f8bac)
is most certainly not accurate given the explanation of Cruelty from GGG_staff on Reddit. —Vini (t|c) 23:12, 24 October 2021 (UTC)
The changed formula is accurate
The previous version was mistaken due to not accounting for 20% increased effect from the level 20 gem mentioned in that explanation. Adding the coefficient of ![{\textstyle \color [rgb]{0.6392156862745098,0.5529411764705883,0.42745098039215684}{5 \over 6}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/b9e7e57d282923dc1e03da0928cbc0e039263382)
- or ![{\textstyle \color [rgb]{0.6392156862745098,0.5529411764705883,0.42745098039215684}{100\% \over 120\%}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/bddc77f9358bebef4bfb56def582d090c83ed068)
if you will - matches the formula with the results in the explanation:
![{\textstyle \color [rgb]{0.6392156862745098,0.5529411764705883,0.42745098039215684}{5 \over 6}*({0.01 \over 100})^{0.2}*(1+20\%)=15.8489\%}](https://wikimedia.org/api/rest_v1/media/math/render/svg/0c3c8cdbb307f2c24b88486f0db0574e518bae46)
![{\textstyle \color [rgb]{0.6392156862745098,0.5529411764705883,0.42745098039215684}{5 \over 6}*({3.2 \over 100})^{0.2}*(1+20\%)=50.2377\%}](https://wikimedia.org/api/rest_v1/media/math/render/svg/6853ecad51198ea5df5024daf7adcfdac489f29e)
or alternatively
![{\textstyle \color [rgb]{0.6392156862745098,0.5529411764705883,0.42745098039215684}50\%={5 \over 6}*({D \over L})^{0.2}*(1+20\%)\iff }](https://wikimedia.org/api/rest_v1/media/math/render/svg/da1919ac551ef44d0433a382548d80ad6a37e614)
![{\textstyle \color [rgb]{0.6392156862745098,0.5529411764705883,0.42745098039215684}50\%=({D \over L})^{0.2}\iff }](https://wikimedia.org/api/rest_v1/media/math/render/svg/b84c9831818d98a128a73f4ecee018849ca243be)
![{\textstyle \color [rgb]{0.6392156862745098,0.5529411764705883,0.42745098039215684}({D \over L})=(50\%)^{5}\iff }](https://wikimedia.org/api/rest_v1/media/math/render/svg/8855baccc31d796310da42093746ea14de9985ff)
![{\textstyle \color [rgb]{0.6392156862745098,0.5529411764705883,0.42745098039215684}({D \over L})=3.125\%}](https://wikimedia.org/api/rest_v1/media/math/render/svg/7a1632ff400c9ffe9a087e22aa029e537a20274d)
whereas using the mistaken formula leads to
![{\textstyle \color [rgb]{0.6392156862745098,0.5529411764705883,0.42745098039215684}({0.01 \over 100})^{0.2}*(1+20\%)=19.0187\%}](https://wikimedia.org/api/rest_v1/media/math/render/svg/d18766cade5e7893d9d6c6317361ea830cd023ca)
and
![{\textstyle \color [rgb]{0.6392156862745098,0.5529411764705883,0.42745098039215684}({3.2 \over 100})^{0.2}*(1+20\%)=60.2853\%}](https://wikimedia.org/api/rest_v1/media/math/render/svg/dbcffd9c31234bd92de1b08731cbffa9c9003e29)
which do not match the values in the Explanation.
—Psychomap 05:05, 29 January 2022 (UTC)