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Equation 17 · Part 4 · Ten Failure Modes in Agentic Coding, from Prompt Injection to False Completion

superscript

Wifiles∩WjfilesW_i^{\mathrm{files}}\cap W_j^{\mathrm{files}}
superscript

What this part means

A raised number can be a power. When it is a label or bound, it selects a case or the upper limit of a sum; the formula’s structure distinguishes these uses.

Its job in the formula

A raised mark can be a power or an index. Its position and the surrounding notation determine which.

The passage around this formula

Race risk grows with shared mutable resources. If workers i and j each have mutation set WiW_i and WjW_j , then filesystem isolation addresses WifilesW_i^{\mathrm{files}}∩\cap WjfilesW_j^{\mathrm{files}} but not intersections across external services.

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Learn the underlying idea

An exponent tells how a base is used in multiplication. In x³, x is the base and 3 is the exponent: x³ = x × x × x.

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