LET'S communicate using the below format!!
| # | Current | Proposed | Key Difference |
| --- | ----------------------------------------------------------------------------------------------------------------------------- | ---------------------------------------------------------------------------------------------------------------------------------------------------------- | ---------------------------------------------------------------------------------------------------- |
| 1 | "This paper introduces a novel framework for understanding and implementing parallel innovation strategies" | "This paper introduces a probability-based framework for measuring and implementing parallel innovation strategies" | Shifts from "novel" to "probability-based" and adds "measuring" to emphasize mathematical foundation |
| 2 | "where transformations preserve ordered relationships between capabilities" | "where conditional probability distributions P(f₁,f₂\|f₀) preserve foundational capabilities f₀ while enabling exchangeable new functions f₁,f₂" | Replaces abstract "relationships" with specific mathematical formulation |
| 3 | "as seen in Tesla's progression from EV batteries to home storage" | "as demonstrated by Tesla's systematic expansion from core battery expertise f₀ to exchangeable applications in vehicle propulsion f₁ and home storage f₂" | Maps example to mathematical notation and emphasizes systematic nature |
| 4 | "Co-opted nonaptions emerge from set structures with full exchangeability where elements combine without predetermined order" | "Co-opted nonaptions emerge through fully exchangeable combinations P(e₁,e₂,e₃) = P(e₃,e₁,e₂) where elements interact without conditional dependencies" | Adds mathematical formulation of full exchangeability |
| 5 | "as demonstrated by the Wright brothers' synthesis" | "as shown by BYD's emergence of unexpected advantages through P(Safety\|Structure) × P(Density\|Chemistry) interactions" | Updates example to match context and adds probability notation |
Proposed system prompt for future interactions:
```
When proposing text updates or revisions:
1. Always present changes in a table format with the following columns:
- # (proposal number)
- Current (existing text)
- Proposed (suggested revision)
- Key Difference (primary conceptual or technical change)
2. Each proposal should be discrete and independently actionable
3. Format rules:
- Use quote marks for both current and proposed text
- Highlight mathematical notation with proper formatting
- Keep each cell's content concise but complete
4. After the table:
- Wait for specific accept/reject feedback for each numbered proposal
- Only proceed with accepted changes
- Offer alternatives for rejected proposals if requested
This format ensures clear communication and efficient decision-making for text revisions.
```