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Vector Space
★★★★☆Undergraduate
📖Definition
A set with vector addition and scalar multiplication satisfying specific axioms.
📐Formulas
\vecu + \vecv ∈ V
Closed under addition
c\vecv ∈ V
Closed under scalar multiplication
✏️Examples
예제 1★★★☆☆
Verify that ℝⁿ is a vector space.
⚡Applications
Functional Analysis
Function spaces
Quantum Mechanics
Hilbert spaces
🔗Related Documents
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⚡Applications
#linear-algebra#vector-space#abstract#advanced