Test Math Rendering
Testing LaTeX Math Rendering
From your "Players Go to Their Highest Valued LTV" post:
Inline Math
Ads for competitor games only make sense if \(churned player LTV < ad revenue\) and to the advertiser if \(acquired player LTV > ad cost\).
Display Math
The decision rule for portfolio pumping:
\[P(rLTV_{i} + nLTV_{i}) + P(nLTV_{i}) > rLTV_{i}\]
Where:
- \(P(rLTV_{i} + nLTV_{i})\) is the probability of playing both games simultaneously
- \(rLTV_{i}\) is the remaining LTV in the old game
- \(nLTV_{i}\) is the LTV for the new game
From "Why do contestants break the rules" post:
Expected payouts:
- $3,000 for a kiss = \(3000/10 = 300\) per contestant
- After taxes: \(300 \times 0.5 = 150\)
Complex Formula
\[\sum_{i=1}^{n} \frac{Revenue_i}{Players_i} = ARPU_{total}\]