Equation 14 · Part 2 · AI Inference Economics 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
The arithmetic is simple once both prices are in hand, and generalizes across any reserved-capacity product structured this way. Let be the reserved capacity’s price per hour, the maximum throughput it sustains per hour at full utilization, and the effective on-demand cost of the equivalent work. At actual utilization u , the effective cost per unit under reservation is / (u \, ) , and reservation wins exactly when
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
- [11] Increase Model Invocation Capacity with Provisioned Throughput in Amazon Bedrock ↗
- [17] Optimization and Tuning ↗
- [15] Mooncake: A KVCache-centric Disaggregated Architecture for LLM Serving ↗
These citations provide research context; check each source for the exact claim it supports.