Equation 2 · Part 4 · The Economics, Energy, and Physical Limits of Claude Code and Agentic Development Tools
Symbol c
What this part means
the context length.
Its job in the formula
c occurs above the fraction bar. The numerator is divided by the entire denominator below it.
Full expression→Symbol c→Article meaning
Where the article explains it
where N-active is the number of parameters actively read per token, beta the bytes each occupies at the serving precision, KV of c the memory footprint of the key-value cache at context length c, and BW the accelerator’s memory bandwidth.
The passage around this formula
…analysis of transformer inference efficiency [ 15 ] . Approximately, . where N-active is the number of parameters actively read per token, beta the bytes each occupies at the serving precision, KV of c the memory footprint of the key-value cache at context length c, and BW the accelerator’s memory bandwidth. Nothing about pricing changes this floor; it only changes which side of it a given task sits on. Kwon and colleagues showed that KV of c is frequently larger than it needs to be in…
Learn the underlying idea
A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.
Open the illustrated variables: a letter stands for a value guide →
See this notation across published equations →
Sources cited in the surrounding passage
- [15] Efficiently Scaling Transformer Inference ↗
- [16] Efficient Memory Management for Large Language Model Serving with PagedAttention ↗
These citations provide research context; check each source for the exact claim it supports.