scholarly journals Arbitrary-level hanging nodes for adaptivehp-FEM approximations in 3D

2014 ◽  
Vol 270 ◽  
pp. 121-133 ◽  
Author(s):  
Pavel Kus ◽  
Pavel Solin ◽  
David Andrs
Keyword(s):  
Hanging Nodes ◽  
Arbitrary Level

scholarly journals WAKIMOTO REALIZATION OF THE ELLIPTIC QUANTUM GROUP $U_{q,p}(\widehat{{\rm sl}_N})$

2009 ◽  
Vol 24 (30) ◽  
pp. 5561-5578
Author(s):  
TAKEO KOJIMA
Keyword(s):  
Quantum Group ◽  
Free Field ◽  
Quantum Algebra ◽  
Free Field Realization ◽  
Wakimoto Realization ◽  
Arbitrary Level ◽  
Elliptic Quantum

We construct a free field realization of the elliptic quantum algebra [Formula: see text] for arbitrary level k ≠ 0, -N. We study Drinfeld current and the screening current associated with [Formula: see text] for arbitrary level k. In the limit p → 0 this realization becomes q-Wakimoto realization for [Formula: see text].

scholarly journals ON THE p-ADIC GEOMETRY OF TRACES OF SINGULAR MODULI

2005 ◽  
Vol 01 (04) ◽  
pp. 495-497 ◽  
Author(s):  
BAS EDIXHOVEN
Keyword(s):  
Shimura Curves ◽  
Modular Curves ◽  
Genus Zero ◽  
Singular Moduli ◽  
Arbitrary Level ◽  
Local Nature ◽  
Do So

The aim of this article is to show that p-adic geometry of modular curves is useful in the study of p-adic properties of traces of singular moduli. In order to do so, we partly answer a question by Ono [7, Problem 7.30]. As our goal is just to illustrate how p-adic geometry can be used in this context, we focus on a relatively simple case, in the hope that others will try to obtain the strongest and most general results. For example, for p = 2, a result stronger than Theorem 2 is proved in [2], and a result on some modular curves of genus zero can be found in [8]. It should be easy to apply our method, because of its local nature, to modular curves of arbitrary level, as well as to Shimura curves.

Arbitrary-level hanging nodes and automatic adaptivity in the hp-FEM

2008 ◽  
Vol 77 (1) ◽  
pp. 117-132 ◽  
Author(s):  
Pavel Šolín ◽  
Jakub Červený ◽  
Ivo Doležel
Keyword(s):  
Hanging Nodes ◽  
Automatic Adaptivity ◽  
Arbitrary Level

scholarly journals Selection in Reference to Biological Groups III. Generalized Results of Individual and Group Selection in Terms of Parent-Offspring Covariances

1968 ◽  
Vol 21 (6) ◽  
pp. 1171 ◽  
Author(s):  
B Griffing
Keyword(s):  
Genetic Analysis ◽  
Group Selection ◽  
Model Building ◽  
Genetic Advance ◽  
Prediction Equations ◽  
Building Unit ◽  
Arbitrary Level

Transference of the model-building unit from that of the gene to that of the entire genotype permits the consequences of individual and group selection to be given in terms of parent-offspring covariances. This, in turn, solves two basic problems: (1) extending the genetic analysis to any arbitrary level of complexity; and (2) formulating the prediction equations of genetic advance in terms of parameters which are directly estimable

An evaluation of Merino wool quality:IV. The classification of fibres according to follicle type

1971 ◽  
Vol 76 (3) ◽  
pp. 383-385
Author(s):  
J. R. Gallagher
Keyword(s):  
Merino Wool ◽  
Histological Sections ◽  
Fibre Fineness ◽  
The Mean ◽  
Arbitrary Level ◽  
Skin Samples

SUMMARYHistological sections of skin samples from two Merino flocks were studied to determine if coarse fibres were from primary (P) or secondary (S) follicles.The mean fibre diameters of P and S fibres were 23.7 and 19.7 µ respectively in flock 1 (significantly different P < 0.5) and 23.1 and 20.5 µ respectively in flock 2 (not significantly different).The percentages of fibres exceeding 30 µ in flock 1 were 10.1% P and 1.0% S. In flock 2, the percentages of fibres exceeding 30 µ were 10.3% P and 0.6% S fibres. If 30 µ is taken as an arbitrary level of fibre fineness, then the majority of coarse fibres wore from P follicles.The observed S/P ratios were 22.8/1 at 16 months on flock 1 and 21.7/1 at 15 months in flock 2.

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