User:Hirmuolio Pine/sandbox2: Difference between revisions

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With \displaystyle vs withou:

<math>\displaystyle \left( \sum_{k=1}^n a_k b_k \right)^2 \leq \left( \sum_{k=1}^n a_k^2 \right) \left( \sum_{k=1}^n b_k^2 \right)</math>

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With \Large vs without:

<math>\displaystyle Chance\ to\ hit = 0.5^{\Large \left( \left( \frac{Angular \times 40000}{Tracking \times Signature} \right)^2 + \left(\frac{\max(0,\ Distance - Optimal)}{Falloff} \right)^2\right)}</math>

<math>\displaystyle\text{Chance to hit} = 0.5^{\Large \left( \left( \frac{\text{Angular} \times 40000 \text{ m}}{\text{Tracking} \times \text{Signature}} \right)^2 + \left(\frac{\max(0,\ \text{Distance} - \text{Optimal})}{\text{Falloff}} \right)^2\right)}</math>

<math>\displaystyle\text{Chance to hit} = 0.5^{\Large \left( \left( \frac{\text{Angular} \times 40000~~}{\text{Tracking} \times \text{Signature}} \right)^2 + \left(\frac{\max(0,\~~ \text{~~Distance~~} ~~- \text{Optimal})}{\text{Falloff}} \right)^2\right)}</math>~~

~~<math>\displaystyle\text{Chance to hit} = 0.5^{\left( \left( \frac{\text{Angular} \times 40000~~}{\text{Tracking} \times \text{Signature}} \right)^2 + \left(\frac{\max(0,\ \text{Distance} - \text{Optimal})}{\text{Falloff}} \right)^2\right)}</math>

<math>\text{Chance to ~~Hit~~} = {0.5^{\left({\left({\frac{V_{~~angular~~} \times ~~40000m~~}{~~WAS~~ \times ~~sig_~~{~~target}~~}}\right)^{2} + \left({\frac{max(0, Distance - ~~opt_~~{~~turret~~})}{~~fall_~~{~~turret}~~}}\right)^{2}}\right)}}</math>

<math>\displaystyle\text{Chance to hit} = 0.5^{\left( \left( \frac{\text{Angular} \times 40000 \text{ m}}{\text{Tracking} \times \text{Signature}} \right)^2 + \left(\frac{\max(0,\ \text{Distance} - \text{Optimal})}{\text{Falloff}} \right)^2\right)}</math>

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+With \displaystyle vs withou:
 <math>\displaystyle \left( \sum_{k=1}^n a_k b_k \right)^2 \leq \left( \sum_{k=1}^n a_k^2 \right) \left( \sum_{k=1}^n b_k^2 \right)</math>
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+With \Large vs without:
-<math>\displaystyle Chance\ to\ hit = 0.5^{\Large \left( \left( \frac{Angular \times 40000}{Tracking \times Signature} \right)^2 + \left(\frac{\max(0,\ Distance - Optimal)}{Falloff} \right)^2\right)}</math>
+<math>\displaystyle\text{Chance to hit} = 0.5^{\Large \left( \left( \frac{\text{Angular} \times 40000 \text{ m}}{\text{Tracking} \times \text{Signature}} \right)^2 + \left(\frac{\max(0,\ \text{Distance} - \text{Optimal})}{\text{Falloff}} \right)^2\right)}</math>
-<math>\displaystyle\text{Chance to hit} = 0.5^{\Large \left( \left( \frac{\text{Angular} \times 40000}{\text{Tracking} \times \text{Signature}} \right)^2 + \left(\frac{\max(0,\ \text{Distance} - \text{Optimal})}{\text{Falloff}} \right)^2\right)}</math>
-<math>\displaystyle\text{Chance to hit} = 0.5^{\left( \left( \frac{\text{Angular} \times 40000}{\text{Tracking} \times \text{Signature}} \right)^2 + \left(\frac{\max(0,\ \text{Distance} - \text{Optimal})}{\text{Falloff}} \right)^2\right)}</math>
-<math>\text{Chance to Hit} = {0.5^{\left({\left({\frac{V_{angular} \times 40000m}{WAS \times sig_{target}}}\right)^{2} + \left({\frac{max(0, Distance - opt_{turret})}{fall_{turret}}}\right)^{2}}\right)}}</math>
+<math>\displaystyle\text{Chance to hit} = 0.5^{\left( \left( \frac{\text{Angular} \times 40000 \text{ m}}{\text{Tracking} \times \text{Signature}} \right)^2 + \left(\frac{\max(0,\ \text{Distance} - \text{Optimal})}{\text{Falloff}} \right)^2\right)}</math>