In algebraic geometry and number theory, the torsion conjecture or uniformboundednessconjecture for torsion points for abelian varieties states that...
In arithmetic geometry, the uniformboundednessconjecture for rational points asserts that for a given number field K {\displaystyle K} and a positive...
χ ( R / P , R / Q ) > 0 {\displaystyle \chi (R/P,R/Q)>0} . Uniformboundednessconjecture for rational points: do algebraic curves of genus g ≥ 2 {\displaystyle...
weaker form of a conjecture of Stewart, and is a special case of the uniformboundednessconjecture for rational points. This conjecture has been proven...
rank on average as well. In Binary quartic forms having bounded invariants, and the boundedness of the average rank of elliptic curves, Bhargava and Shankar...
uniformboundedness of rational points over function fields". arXiv:math/0004078. Heier, Gordon (2003). "Uniformly effective Shafarevich conjecture on...
ISBN 978-3540506270. Gilewicz, J.; Kryakin, Yu. V.; Shevchuk, I. A. (2002). "Boundedness by 3 of the Whitney Interpolation Constant". Journal of Approximation...
generalization of boundedness Quasi-isometry – Function between two metric spaces that only respects their large-scale geometry Uniform space – Topological...
integrable functions and have uniformlybounded operator norms. Since the Riesz transforms are unitary on L2(C), the uniformboundedness of the truncated Riesz...
on the unit disk and its complement. The Grunsky inequalities express boundedness properties of these matrices, which in general are contraction operators...
1088/0305-4470/20/11/013. Block, H. D.; Levin, S. A. (1970). "On the boundedness of an iterative procedure for solving a system of linear inequalities"...
operators from X {\displaystyle X} to Y . {\displaystyle Y.} The uniformboundedness principle states that if for all x {\displaystyle x} in X {\displaystyle...
schema. Boundedness can be handled as a syntactic property or, alternatively, the theories can be conservatively extended with a higher boundedness predicate...