sergey-ccc08
... Heart of the point removal method • Definition: A set S Fq is t - combinatorially nice if …. • Definition: A set S Fq is k - algebraically nice if …. • Theorem: If for some Fq there exists S Fq such that: - S is t-combinatorially nice and - S is k-algebraically nice; then there exist k-query ...
... Heart of the point removal method • Definition: A set S Fq is t - combinatorially nice if …. • Definition: A set S Fq is k - algebraically nice if …. • Theorem: If for some Fq there exists S Fq such that: - S is t-combinatorially nice and - S is k-algebraically nice; then there exist k-query ...
Full text
... Suppose now that j divides both d and (c + d)/2. Then j will also divide 2(c + d)/2 − d = c. Because gcd(c, d) = 1, we have that j = 1. So both sides of Equation (9) are reduced fractions; hence, d = Fk , an odd Fibonacci number, and (c + d)/2 = Fk+1 , which gives c = 2Fk+1 − d. So Condition (i) mus ...
... Suppose now that j divides both d and (c + d)/2. Then j will also divide 2(c + d)/2 − d = c. Because gcd(c, d) = 1, we have that j = 1. So both sides of Equation (9) are reduced fractions; hence, d = Fk , an odd Fibonacci number, and (c + d)/2 = Fk+1 , which gives c = 2Fk+1 − d. So Condition (i) mus ...
List of important publications in mathematics
This is a list of important publications in mathematics, organized by field.Some reasons why a particular publication might be regarded as important:Topic creator – A publication that created a new topicBreakthrough – A publication that changed scientific knowledge significantlyInfluence – A publication which has significantly influenced the world or has had a massive impact on the teaching of mathematics. Among published compilations of important publications in mathematics are Landmark writings in Western mathematics 1640–1940 by Ivor Grattan-Guinness and A Source Book in Mathematics by David Eugene Smith.