17,428
edits
Experience Table: Difference between revisions
From Melvor Idle
Amend experience difference formula & formatting
Falterfire (talk | contribs) (Removed 'Guides' category) |
(Amend experience difference formula & formatting) |
||
| Line 3: | Line 3: | ||
The experience difference between level <math display='inline'>L-1</math> and level <math display='inline'>L</math> is <math display='inline'>\left\lfloor \frac{1}{4} \left( L-1+300 \ | The experience difference between level <math display='inline'>L-1</math> and level <math display='inline'>L</math> is approximately <math display='inline'>\left\lfloor \frac{1}{4} \left( L-1+300\times 2^{\frac{L-1}{7}} \right) \right\rfloor</math>. The table below show this experience difference for each level and also the cumulative experience from level 1 to level <math display='inline'>L</math>. | ||
! Level !! XP !! Difference | ! Level !! XP !! Difference | ||
| Line 141: | Line 141: | ||
The formula needed to calculate the amount of experience needed to reach level L is: | The formula needed to calculate the amount of experience needed to reach level L is: | ||
:<math>\ | :<math>\text{Experience} = \left \lfloor{\frac{1}{4}\sum_{\ell=1}^{L-1}}\left\lfloor{\ell + 300\cdot2^{\ell/7}}\right\rfloor\right\rfloor</math> | ||
If the floor functions are ignored, the resulting summation can be found in closed form to be: | If the floor functions are ignored, the resulting summation can be found in closed form to be: | ||
:<math>\ | :<math>\text{Experience} \approx \frac{1}{8} \left( {L}^{2} - L + 600 \, \frac{{2}^{L/7}-2^{1/7}} {{2}^{1/7}-1} \right)</math> | ||
The approximation is very accurate, always within 100 experience but usually less than around 10 experience. | The approximation is very accurate, always within 100 experience but usually less than around 10 experience. | ||
{{Menu}} | {{Menu}} | ||
