User:Remorse: Difference between revisions

Revision as of 14:58, 17 November 2025

  $wildSpeed = \frac{2000 * \max (terrainSpeed * defensePostSpeedDebuff * falloutSpeedDebuff, 10)}{attackerTroops}, clampedWildernessSpeed(wildSpeed) = {\begin{cases} 5 & if wildSpeed \leq 5 \\ 100 & if wildSpeed \geq 100 \\ wildSpeed & if 5 < wildSpeed < 100 \end{cases}$

@@ Line 1: / Line 1: @@
-{{Scrollable Math|<math>
+{{Scrollable Math|<math>\text{wildSpeed} = \frac{2000 * \max(\text{terrainSpeed} * \text{defensePostSpeedDebuff} * \text{falloutSpeedDebuff}, 10)}{\text{attackerTroops}},
-f(x) = \int_{0}^{\infty} \frac{e^{-t} \, t^{x-1}}{\Gamma(x)} \, dt
+\text{clampedWildernessSpeed(wildSpeed)} =
-+ \sum_{n=1}^{\infty} \frac{(-1)^n}{n!} \prod_{k=0}^{n} \frac{(2k+1)^2 + x^2}{(2k+2)!}
+\begin{cases}
-+ \frac{1}{1 - e^{-x}} \prod_{m=1}^{\infty} \left(1 + \frac{x^2}{m^2 \pi^2}\right)^{-1}
+& \text{if } \text{wildSpeed} \leq 5 &\\
-+ \sqrt{\frac{x^2 + 1}{x^2 + 2}} \cdot \frac{\ln(x^2 + 3)}{\sqrt[3]{x^2 + 4}}
+& \text{if } \text{wildSpeed} \geq 100 &\\
-+ \frac{\sin(x)}{x} + \frac{\cos(x)}{x^2 + 1}
+\text{wildSpeed}   & \text{if } 5 < \text{wildSpeed} < 100 \end{cases}</math>}}
-</math>}}