recurrence-solver
Solve recurrence relations using multiple methods including Master Theorem and generating functions
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技能内容
Recurrence Solver
Purpose
Provides expert guidance on solving recurrence relations arising from divide-and-conquer and recursive algorithm analysis.
Capabilities
- Apply Master Theorem (all three cases)
- Substitution method with guess verification
- Recursion tree analysis with visualization
- Generating functions for complex recurrences
- Akra-Bazzi method for generalized recurrences
- Handle non-standard recurrence forms
Usage Guidelines
- Recognition: Identify recurrence structure and applicable methods
- Master Theorem: Check and apply Master Theorem cases
- Substitution: Formulate and verify guess for complex cases
- Tree Analysis: Build recursion tree for intuition
- Verification: Validate solutions with base cases
Tools/Libraries
- SymPy
- Visualization libraries
- Symbolic algebra systems
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该仓技能数2115
原文件路径
library/specializations/domains/science/computer-science/skills/recurrence-solver/SKILL.md