Centroid Clause Samples
Centroid point: In this baseline method, we calculate the centroid of all points in the cloaked area z ∈ a as the expected location of the participant and use it to calculate the expected ▇▇▇▇▇▇▇▇▇ ▇ˆ▇,▇ . ▇ˆ▇,▇ = dist( zfi(z)dz, lj) z2ai where lj is the location of the target j and the function dist is the Euclidean distance between two points.
Centroid. We developed two methods based on centroids: Centroid and WCentroid (weighted centroid). In both of them, the key idea is that the first k links coming from each search engine can be trusted to be relevant to the query. In the Centroid method we find the average (or centroid) of the vectors of the first k links reported from each search engine and then rank all the links using the cosine measure of its vector to the centroid vector calculated. let k be the number of top links to be considered in ranking let centroid be an empty sparse vector let results be an empty array of links for s = 1 to number of search engines for i = 1 to k if ls exists centroid = centroid + vector(ls) for i = 1 to n for s = 1 to number of search engines if ls exists and is not a duplicate of links in results insert ls at the end of results. return results
Centroid andy-coordinates ofbeam“centerofmas” Envelope:(edgemeasure) x-andy-principalaxisradi ofanelipticalbeamenvelope Aplytogeneral butbaseonuniformdensity Factorof2resultsfromdimensionality(diff1Dand3D) ▇▇ ▇▇▇▇,AcceleratorSystems,Fal2019 Space-ChargeEffects 31 Oscilationsinthestatisticalbeamcentroidandenveloperadiarethe lowest-ordercolectiveresponsesofthebeam CentroidOscilations:Asociatedwitherorsandaresuppresedtotheextent posible: ErorSourceseeding/drivingoscilations: -Beamdistributionassymetries(evenemergingfrominjector:bornoffset) -Dipolebendingtermsfromimperfectappliedfieldoptics -Dipolebendingtermsfromimperfectmechanicalalignment Exception:Largecentroidoscilationsdesiredwhenthebeamiskicked(insertionor extraction)intooroutofatransportchannelasisdoneinbeaminsertion/extraction in/outofrings EnvelopeOscilations:Canhavetwocomponentsinperiodicfocusinglatices