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Equation 3 · Reliable AI Agents Are Control Systems, Not Chatbots

What does this equation mean?

ata_t

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the action. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.

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ata_t

Symbol a_t

the action.

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subscript

subscript

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.

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How to interpret it

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What the article says around this equation

Let the environment have a latent state sts_t , expose an observation oto_t , and accept an action ata_t . The model and its surrounding prompt produce a policy

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Sources cited in the article section

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