Equation 2 · Model Systems in 2035: Four Scenarios, Their Signals, and What Would Falsify Them
What does this equation mean?
Read the formula alongside the article passage below. Each part has a deeper page with its role in the equation, the supporting passage and nearby citations.
This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
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Symbol B
B is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Symbol t
t is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
How to interpret it
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What the article says around this equation
Write F(t) for peak arithmetic throughput and B(t) for memory bandwidth. The quantity that matters for a serving system is their ratio, because it sets the arithmetic intensity — operations per byte moved — at which a machine becomes compute-bound rather than bandwidth-bound:
Sources cited in the article section
- [6] Compute Trends Across Three Eras of Machine Learning ↗
- [2] Key Trends and Figures in Machine Learning ↗
- [3] Scaling Laws for Neural Language Models ↗
- [4] Training Compute-Optimal Large Language Models ↗
- [5] Will We Run Out of Data? Limits of LLM Scaling Based on Human-Generated Data ↗
These citations give research context. Read each source to check which claims it supports.
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