Equation 2 · Part 3 · Comparing the Main Approaches to AI Agent Architecture
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
where is the observation history, is whatever state the system has chosen to retain, and g is the task goal. Nothing here is specific to language models; it is the generic shape of a controller. What actually distinguishes the four patterns below is not this equation but what each one does with : whether it is one growing transcript, a plan object computed once and then held fixed, a set of disjoint per-worker histories that never touch each other directly, or a position in an explicit graph whose edges may or may not be permitted to fire. The rest of this article works through each shape in turn, using the tradeoffs their own architects have written down, not a synthetic…
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
These citations provide research context; check each source for the exact claim it supports.