feat(xp): functions

README.md

@@ -11,12 +11,12 @@ Bot for the private server Discord "Les Copaings"
 ### XP
 
 Functions:
-- $xp-message(x;y) = 0.025 x^{1.25}y^{0.5}+1$ where $x$ is the length of the message and $y$ is the diversity of the 
+- $xp-message(x;y) = 0.025 x^{1.25}\sqrt{y}+1$ where $x$ is the length of the message and $y$ is the diversity of the 
 message (number of different rune)
 - $xp-vocal(x)=0.01 x^{1.3}+1$ where $x$ is the time spent in vocal (in second)
-- $level(x)=0.2 x^{0.5}$ where $x$ is the xp
+- $level(x)=0.2 \sqrt{x}$ where $x$ is the xp
 - $level^{-1}(x)=(5x)^2$ where $x$ is the level
-- $lose(x,y)= x^2\cdot 10^{-2+\ln(x/85)}\cdot\lfloor y/100 \rfloor$ where $x$ is the inactivity time (hour) and $y$ is the xp
+- $lose(x,y)= x^2\cdot 10^{-2+\ln(x/85)}\cdot\lfloor y/500 \rfloor$ where $x$ is the inactivity time (hour) and $y$ is the xp
 
 ## Technologies