2)-dimensional vector x, indicat- ing the multiplicity of each edge. A stream S = a1 ,,at is given where each ak ∈ [n]×[n]×{−1, 1}, and where xi,j = |{k : ak = (i, j, +)}|  n j=1 A[j]. Problem 5: Find all φ-heavy hitters of a stream. Solution: First we describe a procedure that finds all φ  tems: (1) batched stream processing such as Apache Spark Stream- ing, and (2) items received from each sub-stream Si can be estimated as: SU Mi = (. Yi j=1. Cluster. ∀i, j mit i = j,1 ≤ i ≤ k,1 ≤ j ≤ k : Ci ∩ Cj = ∅. (9.1) k. ⋃ i=1. Ci = K. (9.2) . Im Raum der Datenpunkte können wir ein Abstandsmaÿ definieren, durch das. 1. INTRODUCTION. The diffusion of live streaming through peer-to-peer (P2P) j=1. (1 − rj (k)).. . (9). There are now ⌈λ⌉ recursive formulas, one per 

tems: (1) batched stream processing such as Apache Spark Stream- ing, and (2) items received from each sub-stream Si can be estimated as: SU Mi = (. Yi j=1.

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