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Download as PDF; Printable version ... List of unsolved problems may refer to several notable conjectures or open problems in ... Unsolved problems in information theory;
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.
Print/export Download as PDF; Printable version; In other projects Wikidata item; ... Pages in category "Unsolved problems in number theory"
Find minimal l n such that any set of n residues modulo p can be covered by an arithmetic progression of the length l n. [7] For a given set S of integers find the minimal number of arithmetic progressions that cover S; For a given set S of integers find the minimal number of nonoverlapping arithmetic progressions that cover S
This category is intended for all unsolved problems in mathematics, including conjectures. Conjectures are qualified by having a suggested or proposed hypothesis. There may or may not be conjectures for all unsolved problems.
The end of the millennium, which was also the centennial of Hilbert's announcement of his problems, provided a natural occasion to propose "a new set of Hilbert problems". Several mathematicians accepted the challenge, notably Fields Medalist Steve Smale , who responded to a request by Vladimir Arnold to propose a list of 18 problems ( Smale's ...
The Erdős–Straus conjecture is one of many conjectures by Erdős, and one of many unsolved problems in mathematics concerning Diophantine equations. Although a solution is not known for all values of n , infinitely many values in certain infinite arithmetic progressions have simple formulas for their solution, and skipping these known values ...
Secondly, we show that if a set system contains an element in at least half the sets, then its complement has an element in at most half. Lemma 2. A set system contains an element in half of its sets if and only if the complement set system , contains an element in at most half of its sets. Proof.