Estimating ranks, quantiles, and distributions over streaming data is a central task in analysis monitoring. Given stream of n items from universe equipped with total order, the to compute sketch (data structure) size polylogarithmic . query item y , one should be able approximate its rank stream, i.e., number elements smaller than or equal Most works date focused on additive ε error approximat...

We prove new $L^p$- $L^q$ estimates for averages over dilates of the circle with respect to $\alpha$-dimensional fractal measure, which unify different types maximal circular average. Our results are consequences smoothing wave operator relative measures. also discuss similar concerning spherical averages.

The experiments were conducted for monitoring crop area by spatial sampling methods in a winter wheat main production region with a size of 42Km×42Km in Hengshui City, Hebei Province in China to optimize designs of the frameworks and elements (sample size, sample-square dimension), based on Remote Sensing (RS) and Geographical Information System (GIS) techniques. 5 sample-square dimension level...