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The Clay Mathematics Institute officially designated the title Millennium Problem for the seven unsolved mathematical problems, the Birch and Swinnerton-Dyer conjecture, Hodge conjecture, Navier–Stokes existence and smoothness, P versus NP problem, Riemann hypothesis, Yang–Mills existence and mass gap, and the Poincaré conjecture at the ...
Langlands's proof of the functional equation for Eisenstein series was 337 pages long. 1983 Trichotomy theorem. Gorenstein and Lyons's proof for the case of rank at least 4 was 731 pages long, and Aschbacher's proof of the rank 3 case adds another 159 pages, for a total of 890 pages. 1983 Selberg trace formula. Hejhal's proof of a general form ...
Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.
Goldbach’s Conjecture. One of the greatest unsolved mysteries in math is also very easy to write. Goldbach’s Conjecture is, “Every even number (greater than two) is the sum of two primes ...
This is a list of equations, by Wikipedia page under appropriate bands of their field. Eponymous equations The following equations are named after researchers who ...
You may have heard that you "should" be getting eight hours of sleep each night and spent the better part of adulthood shaming yourself for getting far less. ... 9-12 hours. Teen. 13-17 years. 9 ...
6. Mathematical treatment of the axioms of physics. 7. Irrationality and transcendence of certain numbers. 8. Problems of prime numbers (The "Riemann Hypothesis"). 9. Proof of the most general law of reciprocity in any number field. 10. Determination of the solvability of a Diophantine equation. 11. Quadratic forms with any algebraic numerical ...
Sleep Advice That Stands The Test Of Time 1/ Think Twice About Booze . If you want better sleep, take stock of your alcohol habits. Before bed, alcohol helps you fall asleep, but too much severely ...