Difference between revisions of "User:Hirmuolio Pine/sandbox2"
Line 1: | Line 1: | ||
− | With \displaystyle vs withou: | + | == 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> | <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> | ||
Line 7: | Line 7: | ||
− | With \Large vs without: | + | == With \Large vs without:== |
<math>\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>\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>\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> | <math>\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> | ||
+ | |||
+ | == Roman VS italic == | ||
+ | |||
+ | <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 Chance\ to\ hit = 0.5^{\Large \left( \left( \frac{Angular \times 40000 \,\text{m}}{ Tracking \times Signature } \right)^2 + \left(\frac{\max(0,\ Distance - Optimal )}{ Falloff } \right)^2\right)}</math> |
Revision as of 14:46, 15 January 2020
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]
[math] \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]
With \Large vs without:
[math]\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]\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]
Roman VS italic
[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 Chance\ to\ hit = 0.5^{\Large \left( \left( \frac{Angular \times 40000 \,\text{m}}{ Tracking \times Signature } \right)^2 + \left(\frac{\max(0,\ Distance - Optimal )}{ Falloff } \right)^2\right)}[/math]