نتایج جستجو برای: chebyshevs expansion

تعداد نتایج: 141018  

2004
Christina Lioma Ben He Vassilis Plachouras Iadh Ounis

This paper describes our participation in the CLEF 2004 French monolingual task. We used our Terrier Information Retrieval platform and experimented with query expansion and query length normalisation.

Journal: :J. Web Sem. 2007
Laura Hollink Guus Schreiber Bob J. Wielinga

This paper reports on a study to explore how semantic relations can be used to expand a query for objects in an image. The study is part of a project ith the overall objective to provide semantic annotation and search facilities for a virtual collection of art resources. In this study we used semantic elations from WordNet for 15 image content queries. The results show that, next to the hyponym...

2017
Edwin Thuma Nkwebi Peace Motlogelwa

This paper presents our working notes for FIRE 2017, Information Retrieval from Legal documents -Task 2 (Precedence retrieval). Common Law Systems around the world recognize the importance of precedence in Law. In making decisions, Judges are obliged to consult prior cases that had already been decided to ensure that there is no divergence in treatment of similar situations in different cases. ...

2009
Michele Castellana Aurélien Decelle Silvio Franz Marc Mézard Giorgio Parisi

We introduce a Random Energy Model on a hierarchical lattice where the interaction strength between variables is a decreasing function of their mutual hierarchical distance, making it a nonmean field model. Through small coupling series expansion and a direct numerical solution of the model, we provide evidence for a spin glass condensation transition similar to the one occurring in the usual m...

Journal: :SIAM J. Numerical Analysis 2003
Marlis Hochbruck Christian Lubich

2004
Pascal Sebah

Selection of some of the numerous series expansion involving the famous constant π.

Journal: :CoRR 2008
José R. Pérez-Agüera Lourdes Araujo

Query expansion is a well known method to improve the performance of information retrieval systems. In this work we have tested different approaches to extract the candidate query terms from the top ranked documents returned by the first-pass retrieval. One of them is the cooccurrence approach, based on measures of cooccurrence of the candidate and the query terms in the retrieved documents. Th...

2007
Stevo Stević Simeon Reich

We give some sufficient and necessary conditions for an analytic function f on the unit ball B with Hadamard gaps, that is, for f (z)=∑k=1Pnk (z) (the homogeneous polynomial expansion of f ) satisfying nk+1/nk ≥ λ > 1 for all k ∈N, to belong to the space p(B)= { f |sup0<r<1(1− r2)‖R fr‖p <∞, f ∈H(B)}, p = 1,2,∞ as well as to the corresponding little space. A remark on analytic functions with Ha...

Journal: :Experimental Mathematics 2003
Gert Almkvist Christian Krattenthaler Joakim Petersson

We show how to find series expansions for π of the form π = ∞ n=0 S(n) mn pn a n , where S(n) is some polynomial in n (depending on m, p, a). We prove that there exist such expansions for m = 8k, p = 4k, a = (−4) k , for any k, and give explicit examples for such expansions for small values of m, p and a.

2010
Gilbert Stengle

The purpose of this paper is to initiate the study of a new kind of asymptotic series expansion for solutions of differential equations containing a parameter. We obtain uniform asymptotic solutions for certain equations of the form ê»y" = ait, e)y , ( )' = d/dt, where n is a positive integer, t and e are real variables ranging over \t\ S U, 0 < e ^ €o, and a is a function infinitely differenti...

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