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Equation 3 · Claude Code, From First Principles: The Agentic Loop, Permissions, and What Actually Executes

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π\pi

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This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.

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π\pi

Symbol pi

pi is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

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How to interpret it

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What the article says around this equation

Let ctc_t be the context available to the model at step t : system instructions, conversation so far, file contents, tool outputs. The model is a policy π\pi that, given ctc_t , emits either a final answer or a tool call ata_t :

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