mathematics.md 5.1 KB
Euclid. Euclid's Elements. Translated by Thomas L. Heath, Green Lion Press, 2002.
- Number Theory
- Book VII: Definitions
- Book VII, Proposition 34: Least common multiple of two numbers
- Book IX, Proposition 20: Proof of infinite primes
Fermat's Last Theorem and Langlands Program
- Langlands Program is to further connect complex analysis with number theory
- Riemann's Hypothesis relates prime numbers to solutions of zeta function
- Frey's counter-example is an elliptic curve which assumes positive integer solution to aᵖ + bᵖ = cᵖ for p > 2
- Then by the Taniyama-Shimura-Weil Conjecture, this gives rise to a modular form
- However, it is seen that it is not in fact, a modular form
- Reductio Ad Absurdum
Reading Backlog
- Number Theory meets Computability Theory
- General Recursive Functions
- Wave function
- A Proof of the Kahn-Kalai Conjecture - Jinyoung Park, Huy Tuan Pham
- Lindemann–Weierstrass theorem for transcendental numbers
- Computability and Galois Fields
- COMPUTABLE ALGEBRA, GENERAL THEORY AND THEORY OF COMPUTABLE FIELDS - Rabin
- computable sets and splitting fields pg. 121 v.d. waerden
- Hello Quantum
- Quantum non-equilibirum
- Delayed-choice Quantum Eraser
- Qiskit
- Choose a License
- su(2)'s double covering of so(3)
- Categories for Quantum Theory: An Introduction
- INFORMATION, PHYSICS, QUANTUM: THE SEARCH FOR LINKS - John Archibald Wheeler
- On Computable Numbers, With An Application To The Entscheidungsproblem - A. M. Turing
- Bertrand's Postulate
Mathematics
- Matrix calculus
- Small-angle approximation
- Properties of positive (semi)definite matrices
- Positive semidefinite cone
- Rayleigh Ritz Theorem
- pg.79 Algebra B.L. van der Waerden - determinant of linear transformation invariant of basis
- Multivariate Calculus
- Complex Analysis
- Principles of Mathematical Analysis Solutions (Rudin)
- Duality (mathematics)
- Paper Sizes
- Library of Babel
- MIP* = RE Henry Yuen Talk
- Bertrand Paradox
- Weierstrass function
Tables
Research Papers
- Bounding the set of quantum correlations - Miguel Navascu ́es, Stefano Pironio, and Antonio Ac ́ın
- Consequences and Limits of Nonlocal Strategies - Richard Cleve Peter Høyer Ben Toner John Watrous
- Empirical Two-Point Correlation Functions - Lawrence J. Landau
- Locality, Bell's Theorem, and Quantum Mechanics - Peter Rastall