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Structures and derives research formulas when the user wants to 推导公式, build a theory line, organize assumptions, turn scattered equations into a coherent derivation, or rewrite theory notes into a paper-ready formula document. Use when the derivation target is not yet fully fixed, the main object still needs to be chosen, or the user needs a coherent derivation package rather than a finished theorem proof.
Force a skeptical second pass on your own work. Because 'it should work' has never once been true.
HK Stock Market Overview Analyzer. Provides comprehensive analysis of the overall performance of the HK stock market, major indices, sector rotation, market sentiment, etc. Used to quickly understand the overall status and trends of the HK stock market.
Generates Angular code and provides architectural guidance for existing Angular v19 projects. Trigger for best practices on reactivity (signals, linkedSignal, resource), forms, dependency injection, routing, animations, styling (component styles, Tailwind CSS), testing, or CLI tooling.