Equation 2 · Part 1 · Model Systems in 2035: Four Scenarios, Their Signals, and What Would Falsify Them
Symbol B
What this part means
B is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Its job in the formula
B is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Full expression→Symbol B→Article meaning
The passage around this formula
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:
Learn the underlying idea
A function assigns an output to each allowed input. The expression f(x) means “apply f to x”.
Open the illustrated functions: inputs become outputs guide →
See this notation across published equations →
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 provide research context; check each source for the exact claim it supports.