Landscapeurbani rn' curr nt theoretical argument embracesflexible op ration that addr fluidity, non-linearity,open-end dne and indet rminacy. Therepre entation of the e proce e th n a ks for technique that promote th in-b twe n and the unexpectedthrough ab traction.' Diagram, id ogram , imagetext , data cape and map drawing are part of themodern repertoire of r pr ntation techniqu that dealwith...

We present methods for partitioning a weighted finite-state transducer (WFST) representation of an n-gram language model into multiple blocks or shards, each of which is a stand-alone WFST n-gram model in its own right, allowing processing with existing algorithms. After independent estimation, including normalization, smoothing and pruning on each shard, the shards can be reassembled into a si...

A representation of su q (n) , which diverges in the limit of q → 1, is investigated. This is an infinite dimensional and a non-unitary representation , defined for the real value of q, 0 < q < 1. Each irreducible representation is specified by n continuous variables and one discrete variable. This representation gives a new solution of the Yang-Baxter equation, when the R-matrix is evaluated. ...

An n-ary query over trees takes an input tree t and returns a set of ntuples of the nodes of t. In this paper, a compact data structure is introduced for representing the answer sets of n-ary queries defined by tree automata. Despite that the number of the elements of the answer set can be as large as |t|, our representation allows to store the set using only O(3|t|) space. Several basic operat...

The bag-of-words (BOW) model is the common approach for classifying documents, where words are used as feature for training a classifier. This generally involves a huge number of features. Some techniques, such as Latent Semantic Analysis (LSA) or Latent Dirichlet Allocation (LDA), have been designed to summarize documents in a lower dimension with the least semantic information loss. Some sema...

1. B A C K G R O U N D The primary knowledge extraction and text retrieval conferences (MUC-4, 1992; TREC-1, 1993; TIPSTER, forthcoming) utilise domain-specific queries and templates to identify relevant concepts from within a corpus and extract applicable documents or information. The structures generated by the system discussed in this paper are similar to these domain-specific templates, the...

5 The special linear Lie algebra sl(n,C) and the general linear group GLn(C) 22 5.1 Structure of sl(n,C) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 5.2 Representations of sl(n,C) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 5.3 Weyl’s construction, tensor products and some combinatorics . . . . . . . . . . . . . . . . ....

We derive the wave function for N-dimensional hydrogen atom in the momentum representation with the phase factor using the generating function method and Hankel’s integral.