Equation 3 · Part 2 · A Rising FLOPs-per-Byte Ratio Explains Why Nvidia Split the Chip in Two
subscript
subscript
What this part means
The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.
Its job in the formula
A subscript distinguishes a version, component, step, or member of a quantity. It does not automatically mean multiplication.
Full expression→subscript→Article meaning
The passage around this formula
The reason arithmetic intensity is the right lens, rather than either raw FLOPs or raw bandwidth alone, is that a chip’s advertised compute figure is only ever a ceiling a given workload may or may not reach. Below a workload-specific threshold — the roofline model’s “ridge point,” the arithmetic intensity at which a chip stops being memory-bound and starts being compute-bound — throughput is capped by bytes moved, not by tensor-core count, and every FLOP of purchased silicon sitting past that ceiling is, for that workload, silicon paid for and not used. A rising does not by itself say anything about whether real workloads are keeping pace with it. It says that the ceiling keeps…
Learn the underlying idea
A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.
Open the illustrated subscripts: which member of a family? guide →
Sources cited in the article section
- [4] NVIDIA H100 Tensor Core GPU Datasheet ↗
- [5] Hopper (microarchitecture) ↗
- [6] NVIDIA HGX Platform (B200 specifications) ↗
These citations provide research context; check each source for the exact claim it supports.