Mathematics Atlas

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All Theorems

Proved mathematical results, statements with an accepted proof within the mathematical community. Belongs here: theorems, grouped below by the branch of mathematics the result belongs to. Does not belong here: unproved claims, filed as conjectures, even ones widely believed true.

All Theorems
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Nash-Williams Formula

Combinatorics and Graph Theory

Nernst's Theorem

Mathematical Physics

Newton's Identities

Algebra

Newton's Theorem (Quadrilateral)

Geometry

Neyman-Pearson Lemma

Probability and Statistics

Nicomachus's Theorem

Combinatorics and Graph Theory

Nielsen-Schreier Theorem

Algebra

Nine-Point Circle Theorem

Geometry

Niven's Theorem

Number Theory

No Free Lunch Theorem

Probability and Statistics

No-Cloning Theorem

Mathematical Physics

Noether Normalization Lemma

Algebra

Noether's Isomorphism Theorems

Algebra

Noether's Second Theorem

Mathematical Physics

Noether's Theorem

Mathematical Physics

No-Hair Theorem

Mathematical Physics

No-Trade Theorem

Game Theory

Odd Number Theorem

Mathematical Physics

Okishio's Theorem

Game Theory

Omitting Types Theorem

Logic and Foundations

Onsager Reciprocal Relations

Mathematical Physics

Open Mapping Theorem (Complex Analysis)

Analysis

Open Mapping Theorem (Functional Analysis)

Analysis

Optical Theorem

Mathematical Physics

Optional Stopping Theorem

Probability and Statistics

Ore's Theorem

Combinatorics and Graph Theory

Ostrowski's Theorem

Number Theory

Pappus's Theorem

Geometry

Parallel Axis Theorem

Mathematical Physics

Paris-Harrington Theorem

Logic and Foundations

Parseval's Theorem

Analysis

Pascal's Theorem

Geometry

Pasch's Theorem

Geometry

Pataraia's Theorem

Logic and Foundations

PCP Theorem

Logic and Foundations

Peano Existence Theorem

Analysis

Pell's Equation

Number Theory

Penrose-Hawking Singularity Theorems

Mathematical Physics

Pentagonal Number Theorem

Number Theory

Perfect Graph Theorem

Combinatorics and Graph Theory

Perpendicular Axis Theorem

Mathematical Physics

Perron-Frobenius Theorem

Algebra

Petersen-Morley Theorem

Geometry

Petersen's Theorem

Combinatorics and Graph Theory

Peter-Weyl Theorem

Algebra

Phragmen-Lindelof Principle

Analysis

Picard Theorem

Analysis

Picard-Lindelof Theorem

Analysis

Pick's Theorem

Geometry

Pitot Theorem

Geometry

Planar Separator Theorem

Combinatorics and Graph Theory

Plancherel Theorem

Analysis

Poincare Conjecture

Topology

Poincare Duality Theorem

Topology

Poincare Lemma

Topology

Poincare Recurrence Theorem

Mathematical Physics

Poincare-Bendixson Theorem

Analysis

Poincare-Birkhoff-Witt Theorem

Algebra

Poincare-Hopf Theorem

Topology

Poisson Summation Formula

Analysis

Pokhozhaev's Identity

Analysis

Polya Enumeration Theorem

Combinatorics and Graph Theory

Polya-Vinogradov Inequality

Number Theory

Pomeranchuk's Theorem

Mathematical Physics

Pompeiu's Theorem

Geometry

Poncelet's Closure Theorem

Geometry

Poncelet-Steiner Theorem

Geometry

Poppy-Seed Bagel Theorem

Analysis

Post's Theorem

Logic and Foundations

Poynting's Theorem

Mathematical Physics

Prigogine's Theorem

Mathematical Physics

Prime Number Theorem

Number Theory

Primitive Element Theorem

Algebra

Principal Axis Theorem

Algebra

Principal Ideal Theorem

Number Theory

Probabilistic Method

Combinatorics and Graph Theory

Proof by Exhaustion

Logic and Foundations

Proof by Infinite Descent

Number Theory

Proof of Fermat's Last Theorem for Specific Exponents

Number Theory

Proof that 22/7 Exceeds Pi

Number Theory

Proof That e Is Irrational

Number Theory

Proof that Pi is Irrational

Number Theory

Proof Without Words

Logic and Foundations

Proofs of Quadratic Reciprocity

Number Theory

Proth's Theorem

Number Theory

Ptolemy's Theorem

Geometry

Pythagorean Theorem

Geometry

Pythagorean Trigonometric Identity

Analysis

Rabin's Calibration Theorem

Probability and Statistics

Rademacher's Theorem

Analysis

Radon-Nikodym Theorem

Analysis

Radon's Theorem

Geometry

Ramanujan-Nagell Equation

Number Theory

Ramanujan-Nagell Theorem

Number Theory

Ramsey's Theorem

Combinatorics and Graph Theory

Rank-Nullity Theorem

Algebra

Rao-Blackwell Theorem

Probability and Statistics

Rational Root Theorem

Algebra

Rauch Comparison Theorem

Geometry

Reeh-Schlieder Theorem

Mathematical Physics
Connections

Showing the first 400 of 908 connections.

Sources
MacTutor History of Mathematics Archive
University of St Andrews, School of Mathematics and Statistics
  • Contains: Central Limit Theorem
  • Contains: Bayes' Theorem
View the Source
Wikipedia: Noether's Theorem
Wikimedia FoundationContains: Noether's TheoremView the Source
Wikipedia: Cayley's Theorem
Wikimedia FoundationContains: Cayley's TheoremView the Source
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