With distinct slopes, an upper bound for the number of dots is O(n4/5). dm copies cover the whole square if dm ≤ n, that is, (1) d≤ [n/m].
Apr 27, 1990 · Bounds for arrays of dots with distinct slopes or lengths ... Article PDF. Download to read the full article text ...
Rather than restricting dots to lie in a square or rectangle, this work restricts the maximum distance between dots of the configuration; the motivation for ...
Graham, Imre Z. Ruzsa andHerbert Taylor: Bounds for Arrays of Dots with Distinct Slopes or Length,Combinatorica 12 (1992), 39–44.
This article addresses the question of how many points may be placed in an m by n array so that the slopes between pairs of points have distinct values.
Abstract--This article addresses the question of how many points may be placed in an rn by n array so that the slopes between pairs of points have distinct ...
Items in the collection with a footprint that fails to intersect the given geometry will be excluded. This is equivalent to this.filter(ee.Filter.bounds(...)).
Oct 6, 2023 · Shortcut to filter a collection by intersection with geometry. Items in the collection with a footprint that fails to intersect the given geometry will be ...
Oct 2, 2017 · If k>√n, then m=O(n/k) is the leading term of the upper bound on m, and in this case n+(m2)=O(n).
Missing: arrays lengths.
Mar 11, 2010 · We present constructions and lower bounds on the number of dots in configurations with distinct differences contained in various 2-D shapes ( ...