The purpose of this note is to show how combinatorial arguments can produce nontrivial identities between hypergeometric q-series in two variables. This will be illustrated by using as examples 1. the major index of a binary word 2. the Durfee square size of an integer partition 3. the number of inversions in a binary word 4. the number of descents in a binary word 5. the sum of the positions o...

Geodiversity is considered as the natural range of geological, geomorphological, and soil features, including their assemblages, relationships, properties, interpretations, and systems. A method developed for the quantitative assessment of geodiversity was applied to Paraná, a Brazilian state with an area of about 200,000 km(2). The method is based on the overlay of a grid over different maps a...

Indexing of high-dimensional data is essential for building applications such as multimedia retrieval, data mining, and spatial databases. Traditional index structures rely on centralized processing. This approach does not scale with the rapidly increasing amount of application data available on massively distributed systems like the Internet. In this paper, we propose a distributed high-dimens...

Overlay networks are becoming increasingly popular for their ability to provide effective and reliable service catered to specific applications [1][2][3]. For instance, this concept has been used in peer-to-peer services like SplitStream, content delivery networks like Akamai, resilient networks like RON and so on. Overlay networks consist of a number of nodes (spanning one or many domains) tha...

Overlay networks have recently gained attention as a viable alternative to overcome functionality limitations of the Internet. We are concerned with scenarios where a dynamic routing protocol is employed in the overlay network to adapt overlay routing tables to changing network conditions. At the same time, the native network over which the overlay is built also runs its own set of dynamic rout...

In this paper we present the AlvisP2P IR engine, which enables efficient retrieval with multi-keyword queries from a global document collection available in a P2P network. In such a network, each peer publishes its local index and invests a part of its local computing resources (storage, CPU, bandwidth) to maintain a fraction of a global P2P index. This investment is rewarded by the network-wid...

Background Institut Pasteur International Network (IPIN), which includes 32 research institutes around the world, is a network of research and expertise to fight against infectious diseases. A scientometric approach was applied to describe research and collaboration activities of IPIN.   Methods Publications were identified using a manual search of IPIN member addresses in Science Citation Inde...

A new method (the ‘binary indexed tree’) is presented for maintaining the cumulative frequencies which are needed to support dynamic arithmetic data compression. It is based on a decomposition of the cumulative frequencies into portions which parallel the binary representation of the index of the table element (or symbol). The operations to traverse the data structure are based on the binary co...