Bolzano-Weierstraß Theorem

Every Bounded infinite set in has an Accumulation Point. For , the theorem can be stated asfollows: If a Set in a Metric Space, finite-dimensional Euclidean Space, or First-CountableSpace has infinitely many members within a finite interval , then it has at least one Limit Point such that . The theorem can be used to prove the Intermediate Value Theorem.

• Liouville Measure
• Liouville Number
• Liouville Polynomial Identity
• Liouville-Roth Constant
• Liouville's Boundedness Theorem
• Liouville's Conformality Theorem
• Liouville's Conic Theorem
• Liouville's Constant
• Liouville's Elliptic Function Theorem
• Liouville Space
• Liouville's Phase Space Theorem
• Liouville's Rational Approximation Theorem
• Liouville's Sphere-Preserving Theorem
• Lipschitz Condition
• Lipschitz Function
• Lipschitz's Integral
• Lissajous Curve
• Lissajous Figure
• List
• Lituus
• Lituus Inverse Curve
• LLL Algorithm
• Ln
• Lobachevsky-Bolyai-Gauss Geometry
• Lobachevsky's Formula