Equation 12 · Part 2 · Model Systems in 2035: Four Scenarios, Their Signals, and What Would Falsify Them
superscript
superscript
What this part means
A raised number can be a power. When it is a label or bound, it selects a case or the upper limit of a sum; the formula’s structure distinguishes these uses.
Its job in the formula
A raised mark can be a power or an index. Its position and the surrounding notation determine which.
Full expression→superscript→Article meaning
The passage around this formula
They are only partly independent, and the coupling must be stated. Three linkages matter. First, the two ends of Axis A load the machine differently: large training runs are dense matrix-multiplication workloads with high arithmetic intensity that sit comfortably on the compute-bound side of , whereas long deliberation is autoregressive decoding, which is bandwidth-bound. A world that moves toward deliberation therefore makes Axis B bind harder for the same total FLOP , which is why the axes cannot be treated as orthogonal. Second, causation runs backwards too: if bandwidth relief arrives, deliberation becomes cheaper, which pushes Axis A toward the inference end. Third, both ends of…
Learn the underlying idea
An exponent tells how a base is used in multiplication. In x³, x is the base and 3 is the exponent: x³ = x × x × x.
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Sources cited in the article section
- [7] Scaling LLM Test-Time Compute Optimally can be More Effective than Scaling Model Parameters ↗
- [16] Energy and AI: Executive Summary ↗
These citations provide research context; check each source for the exact claim it supports.