Prime Number Theorem
Describes distribution of prime numbers. Foundation of number theory.
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Similar Mathematical Theorem
Fundamental Theorem of Arithmetic
Every integer has unique prime factorization. Number theory cornerstone.
Chinese Remainder Theorem
Ancient algorithm. Modern cryptography foundation.
Law of Large Numbers
Why statistics works. Foundation of probability theory.
De Moivre's Theorem
Powers of complex numbers. Trigonometry and complex analysis.
Riemann Hypothesis
Unproven. Predicts prime distribution precisely. Million dollar prize.
Bolzano-Weierstrass Theorem
Foundation of analysis. Compactness in real numbers.
Central Limit Theorem
Why normal distribution ubiquitous. Statistics foundation.
Pythagorean Theorem
Relates sides of right triangles. Foundation of geometry and distance.
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Discover connections across different types of entities
Schrödinger Equation
Fundamental equation of quantum mechanics. Predicts probability distributions.
CPT Theorem
Fundamental symmetry of nature. Antimatter and time reversal.
Pauli Exclusion Principle
Explains periodic table structure. Why matter has volume.
Rationalism
Epistemological view that reason is primary source of knowledge, independent of experience. Rationalists like Descartes, …
Newton's Second Law
Quantifies force and motion relationship. Predictive power for all classical systems.
Newton's First Law
Law of inertia. Objects resist changes in motion. Foundation of classical mechanics.
The Tao
Central concept in Taoism representing the fundamental nature of the universe. The Tao is ineffable—it …
Determinism
Philosophical view that all events are determined by prior causes. Hard determinism denies free will—every …