This is a companion report to Bittau et al. [1]. We restate and prove security of the Stash Shuffle. 1 Description of the Stash Shuffle The Stash Shuffle considers input and output items in B sequential buckets, (each holding at mostD , ⌈N/B⌉ items, sized to fit in private memory). At a high level, the algorithm first chooses a random output bucket for each input item, and then randomly shuffle...

‎The first variable Zagreb index of graph $G$ is defined as‎ ‎begin{eqnarray*}‎ ‎M_{1,lambda}(G)=sum_{vin V(G)}d(v)^{2lambda}‎, ‎end{eqnarray*}‎ ‎where $lambda$ is a real number and $d(v)$ is the degree of‎ ‎vertex $v$‎. ‎In this paper‎, ‎some upper and lower bounds for the distribution function and expected value of this index in random increasing trees (rec...

We analyse the average number of buckets in a Linear Bucket tree created by n points uniformly dispatched on an interval of length y. A new bucket is created when a point does not fall in an existing bucket. The bucket is the interval of length 2 centered on the point. We illustrate this concept by an interesting tale of how the moon’s surface took on its present form. Thanks to an explicit Lap...

The aim of the present work is to carry out free surface flow in a Pelton turbine bucket. Steady state numerical simulation has been done for single bucket, this fixed configuration bucket considered. dimensions are be varied same conditions discharge, head, and inclination jet. analysis performed with FLUENT code. results provided by compared two profiles buckets. patterns buckets analyzed fro...

This paper extends the analysis of Extendible Hashing to cover Partial Expansions with elastic buckets. Although previous studies of elastic buckets can be adapted to extendible hashing, the approach taken here provides another view to the problem. We provide a correspondence between xed bucket capacities and elastic buckets. Furthermore, the results are based on easy and straightforward approx...

The problem of ordering a set of entities which contain inherent ties among them arises in many applications. Notion of “bucket order” has emerged as a popular mechanism of ranking in such settings. A bucket order is an ordered partition of the set of entities into “buckets”. There is a total order on the buckets, but the entities within a bucket are treated as tied. In this paper, we focus on ...

The hash table is a common data structure for applications requiring constant time insert, delete and find of certain items. The basic idea is to use an array of buckets, where each bucket stores a list of items. A hash function is used to determine which bucket a certain item belongs to. Finding or deleting a specific item amounts to a linear search in a bucket list pointed to by the hash func...

An SDDS-2000 server currently manages only buckets in its RAM storage [C01]. Several buckets can coexist. When many files are created however, RAM storage space may not be sufficient for all the buckets simultaneously. When an application requests a bucket, but there is not enough room in RAM for it, one can evict some buckets to the disk. We define a number of promising eviction strategies. Ou...

The purpose of this article is to determine the degree increase in productivity and efficiency an excavator equipped with a bucket variable cutting-edge shape. work excavators buckets, which shape traditional cutting blades has changed, was compared. A quantitative picture maximizing during development various soils determined. possibility adapting edge itself depending on soil conditions inves...