By name: discrete-math description: Discrete mathematics fundamentals license: MIT compatibility: opencode metadata: audience: mathematicians category: mathematics
What I do
- Apply propositional and predicate logic
- Analyze mathematical proofs (induction, contradiction)
- Work with sets, relations, and functions
- Apply combinatorics and graph theory basics
- Solve recurrence relations
- Model with discrete structures
When to use me
When studying computer science foundations, proving mathematical statements, or analyzing algorithms.
Key Concepts
- Logic: Propositional operators ∧, ∨, ¬, →, ↔; quantifiers ∀, ∃
- Proof by Induction: Base case + inductive step proves for all n
- Sets: Union, intersection, complement, De Morgan's laws
- Relations: Reflexive, symmetric, transitive properties
- Functions: Injective, surjective, bijective classifications
- Recurrence: a_n defined in terms of previous terms