where ( L ) and ( U ) are absolute bounds, and the probability of ( x ) exceeding those bounds is exactly zero within the system’s operational domain.
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The primary limitation of the Quinn Finite model is its rigidity. By enforcing a hard cap on state density, we necessarily discard information that exceeds the threshold $\phi$. In information theory, this represents a lossy compression. Therefore, Quinn Finite systems are unsuitable for problems requiring infinite precision or memory accumulation, but highly optimized for decision processes and real-time control systems where safety and termination guarantees are paramount. where ( L ) and ( U )
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