Thesis Formular : ChatPro Open AI Let’s review the formulas in question to ensure they are accurate with respect to Bitcoin (BTC) and satoshis (SAT) given the current price of Bitcoin. Key Relationships: Conversion Between BTC and SAT : From BTC to SAT : [ \text{SAT} = \text{BTC} \times 100,000,000 ] From SAT to BTC : [ \text{BTC} = \frac{\text{SAT}}{100,000,000} ] Market Value Calculation : Using the current price of Bitcoin at $79,314 : [ \text{Value}_{BTC\text{(USD)}} = \text{BTC} \times 79,314 ] Transaction Dynamics : Throughput Model (considering improvements): [ \text{Throughput} = \frac{T \cdot E}{S} ] Incorporating Innovations : [ \text{Throughput}_{\text{new}} = \frac{T \cdot E \cdot f(I)}{S} ] Combined Value Calculation : For the total value using SAT: [ \text{BTC}_{\text{USD}} = \frac{\text{SAT}}{100,000,000} \times 79,314 ] Summary: The formulas accurately reflect the relationship between BTC and SAT, incorporate the current market price, and provide models for transaction throughput and improvements. Microsoft Co-Pilot Review of Formular Let’s review the formulas in question to ensure they are accurate with respect to Bitcoin (BTC) and satoshis (SAT) given the current price of Bitcoin. ### Key Relationships: 1. **Conversion Between BTC and SAT**: - **From BTC to SAT**: \[ \text{SAT} = \text{BTC} \times 100,000,000 \] - **From SAT to BTC**: \[ \text{BTC} = \frac{\text{SAT}}{100,000,000} \] 2. **Market Value Calculation**: - Using the current price of Bitcoin at **$79,314**: \[ \text{Value}_{BTC\text{(USD)}} = \text{BTC} \times 79,314 \] 3. **Transaction Dynamics**: - **Throughput Model** (considering improvements): \[ \text{Throughput} = \frac{T \cdot E}{S} \] - **Incorporating Innovations**: \[ \text{Throughput}_{\text{new}} = \frac{T \cdot E \cdot f(I)}{S} \] 4. **Combined Value Calculation**: - For the total value using SAT: \[ \text{BTC}_{\text{USD}} = \frac{\text{SAT}}{100,000,000} \times 79,314 \] ### Summary: - The formulas accurately reflect the relationship between BTC and SAT, incorporate the current market price, and provide models for transaction throughput and improvements.