is a point where a mathematical object (like a function or a manifold) is not "well-behaved" (e.g., becomes infinite or non-differentiable). The "Limit Substitution" (Kyokugen Chikan) method is a specialized technique used to resolve these singularities or to analyze the stability of a system as it approaches a critical state. 2. The Core Mechanism: Substitution and Resolution
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: Simulating hypersonic flow boundaries where physical equations face turbulent computational breakdowns. is a point where a mathematical object (like