Search results
Results from the WOW.Com Content Network
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 ...
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.
[1] [2] It is regarded as one of the most difficult and intensive mathematics courses in the world. Roughly one third of the students take the course as a continuation at Cambridge after finishing the Parts IA, IB, and II of the Mathematical Tripos resulting in an integrated Master's (M.Math), whilst the remaining two thirds are external ...
A thesis as a collection of articles [1] or series of papers, [2] also known as thesis by published works, [1] or article thesis, [3] is a doctoral dissertation that, as opposed to a coherent monograph, is a collection of research papers with an introductory section consisting of summary chapters. Other less used terms are "sandwich thesis" and ...
The minimum page length is generally (and not formally) 100 pages (or about 400,000 characters), but is usually several times longer (except for technical theses and for "exact sciences" such as physics and maths). To complete a master's degree in research, a student is required to write a mémoire, the French equivalent of a master's thesis in ...
According to Mikhail B. Sevryuk, in the January 2006 issue of the Bulletin of the American Mathematical Society, "The number of papers and books included in the Mathematical Reviews (MR) database since 1940 (the first year of operation of MR) is now more than 1.9 million, and more than 75 thousand items are added to the database each year. The ...
Australian and New Zealand Standard Research Classification (ANZSRC 2008) (web-page Archived 2010-12-12 at the Wayback Machine) Chapter 3 and Appendix 1: Fields of research classification. Fields of Knowledge, a zoomable map allowing the academic disciplines and sub-disciplines in this article be visualised.
Under Cobham's thesis, a problem for which the best algorithm takes n 200 instructions is considered feasible, and a problem with an algorithm that takes 2 0.00001 n instructions infeasible—even though one could never solve an instance of size n = 2 with the former algorithm, whereas an instance of the latter problem of size n = 10 6 could be ...