Equation 4 · Part 2 · AI Memory Systems and the Bandwidth Wall in Practice: An Advanced Technical Guide
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
with L transformer layers, H key-value heads, head dimension, b batch size, s sequence length and p bytes per stored element, the factor of two counting keys and values separately. Every strategy below is, mechanically, an attempt to shrink one term of this product without shrinking the model’s effective context.
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] Efficient Memory Management for Large Language Model Serving with PagedAttention ↗
- [5] KIVI: A Tuning-Free Asymmetric 2bit Quantization for KV Cache ↗
These citations provide research context; check each source for the exact claim it supports.