bluuebunny/crossref_metadata_2025_split huggingface dataset:
The Values of Modular Functions and Modular Forms
Authors: Choi So Young 
Published: December 2010

AbstractLet Γ0be a Fuchsian group of the first kind of genus zero and Γ be a subgroup of Γ0of finite index of genus zero. We find universal recursive relations giving theqr-series coefficients ofj0by using those of theqhs-series ofj, wherejis the canonical Hauptmodul for Γ andj0is a Hauptmodul for Γ0without zeros on the complex upper half plane(hereqℓ:=e2πiz/ℓ). We find universal recursive formulas forq-series coefficients of any modular form onin terms of those of the canonical Hauptmodul.
Group Actions, Cyclic Coverings and Families of K3-Surfaces
Authors: Sarti Alessandra 
Published: December 2010

AbstractIn this paper we describe six pencils of K3-surfaces which have large Picard number (ρ = 19, 20) and each contains precisely five special fibers: four have A-D-E singularities and one is non-reduced. In particular, we characterize these surfaces as cyclic coverings of some K3-surfaces described in a recent paper by Barth and the author. In many cases, using 3-divisible sets, resp., 2-divisible sets, of rational curves and lattice theory, we describe explicitly the Picard lattices.
Polynomials for Kloosterman Sums
Authors: Gurak S. 
Published: December 2010

AbstractFix an integer m > 1, and set ζm = exp(2πi/m). Let denote the multiplicative inverse of x modulo m. The Kloosterman sums , satisfy the polynomialwhere the sum and product are taken over a complete system of reduced residues modulo m. Here we give a natural factorization of fm(x), namely,where σ runs through the square classes of the group of reduced residues modulo m. Questions concerning the explicit determination of the factors (or at least their beginning coefficients), their reducibility over the rational field Q and duplication among the factors are studied. The treatment is similar to what has been done for period polynomials for finite fields.
Classification of Finite Group-Frames and Super-Frames
Authors: Han Deguang 
Published: December 2010

AbstractGiven a finite group G, we examine the classification of all frame representations of G and the classification of all G-frames, i.e., frames induced by group representations of G. We show that the exact number of equivalence classes of G-frames and the exact number of frame representations can be explicitly calculated. We also discuss how to calculate the largest number L such that there exists an L-tuple of strongly disjoint G-frames.
Spherical Space Forms: Homotopy Types and Self-Equivalences for the Group (ℤ/a ⋊ ℤ/b) × SL2 (p)
Authors: Golasiński Marek , Gonçalves Daciberg Lima 
Published: December 2010

AbstractLet G = (ℤ/a ⋊ ℤ/b) × SL2(p), and let X(n) be an n-dimensional CW-complex of the homotopy type of an n-sphere. We study the automorphism group Aut(G) in order to compute the number of distinct homotopy types of spherical space forms with respect to free and cellular G-actions on all CW-complexes X(2dn − 1), where 2d is the period of G. The groups ε(X(2dn − 1)/μ) of self homotopy equivalences of space forms X(2dn − 1)/μ associated with free and cellular G-actions μ on X(2dn − 1) are determined as well.
On Lagrangian Catenoids
Authors: Blair David E. 
Published: December 2010

AbstractRecently I. Castro and F.Urbano introduced the Lagrangian catenoid. Topologically, it is ℝ × Sn–1 and its induced metric is conformally flat, but not cylindrical. Their result is that if a Lagrangian minimal submanifold in ℂn is foliated by round (n – 1)-spheres, it is congruent to a Lagrangian catenoid. Here we study the question of conformally flat, minimal, Lagrangian submanifolds in ℂn. The general problem is formidable, but we first show that such a submanifold resembles a Lagrangian catenoid in that its Schouten tensor has an eigenvalue of multiplicity one. Then, restricting to the case of at most two eigenvalues, we show that the submanifold is either flat and totally geodesic or is homothetic to (a piece of) the Lagrangian catenoid.
Existence of Positive Solutions for Nonlinear Noncoercive Hemivariational Inequalities
Authors: Filippakis Michael E. , Papageorgiou Nikolaos S. 
Published: December 2010

AbstractIn this paper we investigate the existence of positive solutions for nonlinear elliptic problems driven by the p-Laplacian with a nonsmooth potential (hemivariational inequality). Under asymptotic conditions that make the Euler functional indefinite and incorporate in our framework the asymptotically linear problems, using a variational approach based on nonsmooth critical point theory, we obtain positive smooth solutions. Our analysis also leads naturally to multiplicity results.
Global Injectivity ofC1Maps of the Real Plane, Inseparable Leaves and the Palais–Smale Condition
Authors: Gutierrez C. , Jarque X. , Llibre J. , Teixeira M. A. 
Published: December 2010

AbstractWe study two sufficient conditions that imply global injectivity for aC1mapX: ℝ2→ ℝ2such that its Jacobian at any point of ℝ2is not zero. One is based on the notion of half-Reeb component and the other on the Palais–Smale condition. We improve the first condition using the notion of inseparable leaves. We provide a new proof of the sufficiency of the second condition. We prove that both conditions are not equivalent, more precisely we show that the Palais–Smale condition implies the nonexistence of inseparable leaves, but the converse is not true. Finally, we show that the Palais–Smale condition it is not a necessary condition for the global injectivity of the mapX.
A Künneth Theorem for p-Adic Groups
Authors: Raghuram A. 
Published: December 2010

AbstractLet G1 and G2 be p-adic groups. We describe a decomposition of Ext-groups in the category of smooth representations of G1 × G2 in terms of Ext-groups for G1 and G2. We comment on for a supercuspidal representation π of a p-adic group G. We also consider an example of identifying the class, in a suitable Ext1, of a Jacquet module of certain representations of p-adic GL2n.
Asymptotic Existence of Resolvable Graph Designs
Authors: Dukes Peter , Ling Alan C. H. 
Published: December 2010

AbstractLet v ≥ k ≥ 1 and λ ≥ 0 be integers. A block design BD(v, k, λ) is a collection of k-subsets of a v-set X in which every unordered pair of elements from X is contained in exactly λ elements of . More generally, for a fixed simple graph G, a graph design GD(v, G, λ) is a collection of graphs isomorphic to G with vertices in X such that every unordered pair of elements from X is an edge of exactly λ elements of . A famous result of Wilson says that for a fixed G and λ, there exists a GD(v, G, λ) for all sufficiently large v satisfying certain necessary conditions. A block (graph) design as above is resolvable if can be partitioned into partitions of (graphs whose vertex sets partition) X. Lu has shown asymptotic existence in v of resolvable BD(v, k, λ), yet for over twenty years the analogous problem for resolvable GD(v, G, λ) has remained open. In this paper, we settle asymptotic existence of resolvable graph designs.
Inverse Laplace Transforms Encountered in Hyperbolic Problems of Non-Stationary Fluid-Structure Interaction
Authors: Iakovlev Serguei 
Published: December 2010

AbstractThe paper offers a study of the inverse Laplace transforms of the functions where In is the modified Bessel function of the first kind and r is a parameter. The present study is a continuation of the author's previous work on the singular behavior of the special case of the functions in question, r=1. The general case of r ∈ [0, 1] is addressed, and it is shown that the inverse Laplace transforms for such r exhibit significantly more complex behavior than their predecessors, even though they still only have two different types of points of discontinuity: singularities and finite discontinuities. The functions studied originate from non-stationary fluid-structure interaction, and as such are of interest to researchers working in the area.
Cohomological Dimension and Schreier's Formula in Galois Cohomology
Authors: Labute John , Lemire Nicole , Mináč Ján , Swallow John 
Published: December 2010

AbstractLet p be a prime and F a field containing a primitive p-th root of unity. Then for n ∈ N, the cohomological dimension of the maximal pro-p-quotient G of the absolute Galois group of F is at most n if and only if the corestriction maps are surjective for all open subgroups H of index p. Using this result, we generalize Schreier's formula for .
Construction of Generalized Harish-Chandra Modules with Arbitrary Minimal -Type
Authors: Penkov Ivan , Zuckerman Gregg 
Published: December 2010

AbstractLet be a semisimple complex Lie algebra and ⊂ be any algebraic subalgebra reductive in . For any simple finite dimensional -module V, we construct simple (, )-modules M with finite dimensional -isotypic components such that V is a -submodule of M and the Vogan norm of any simple -submodule V′ ⊂ M,V′ ≄ V, is greater than the Vogan norm of V. The (, )-modules M are subquotients of the fundamental series of (, )-modules.
Transformations and Colorings of Groups
Authors: Zelenyuk Yevhen , Zelenyuk Yuliya 
Published: December 2010

AbstractLet G be a compact topological group and let f : G → G be a continuous transformation of G. Define f* : G → G by f*(x) = f (x–1)x and let μ = μG be Haar measure on G. Assume that H = Im f* is a subgroup of G and for every measurable C ⊆ H, μG(( f*)–1(C)) = μH(C). Then for every measurable C ⊆ G, there exist S ⊆ C and g ∈ G such that f (Sg–1) ⊆ Cg–1 and μ(S) ≥ (μ(C))2.
Connecticut Competency-Based Point of Dispensing Worker Training Needs Assessment
Authors: Durante Amanda , Melchreit Richard , Sullivan Kristin , Degutis Linda 
Published: December 2010

ABSTRACTObjectives: In April 2006, Connecticut conducted an exercise that tested its ability to receive and dispense antibiotics from the Strategic National Stockpile. In conjunction with the exercise, a competency-based assessment was performed to determine the training needs of point of dispensing (POD) workers.Methods: POD core competencies were developed by adapting existing preparedness materials. They were used to assess the training needs of more than 250 people who staffed a POD during the exercise. The assessment measured their confidence in their ability to perform 17 competency-based tasks.Results: The vast majority needed training on 5 or fewer tasks, suggesting that they were fairly well trained. Pharmacists were particularly likely to need training on at least 5 tasks. Given their role in a POD operation, they should be a focus of further training. Almost one third of participants needed additional training on at least 1 of the 3 basic POD Incident Command System tasks. Additional training is also needed on competencies concerning POD safety and security, liability protections, and family preparedness. POD workers who are concerned about these matters may be less willing or able to staff a POD. People who participated in training both before and on the day of the exercise were best prepared to staff the POD, indicating that both types of training have value.Conclusions: When compared with the competencies, POD workers possessed many of the necessary skills to staff a POD; however, training with emphasis on areas of weakness revealed by the assessment could improve willingness to report for duty and performance.(Disaster Med Public Health Preparedness. 2010;4:306-311)
A Mild Catalytic Oxidation System: Ruthenium Porphyrin and 2,6‐DichloropyridineN‐Oxide Applied for Alkene Dihydroxylation
Authors: Hu Wen‐Xiang , Li Pei‐Rong , Jiang Gaoxi , Che Chi‐Ming , Chen Jian 
Published: December 2010

AbstractA new method was developed to transform alkenes into three types of functional molecules, including epoxides, aldehydes and 1,2‐diols by using dichlororuthenium(IV)meso‐tetrakis(2,6‐dichlorophenyl)porphyrin [Ru(IV)(TDCPP)Cl2] as catalyst and 2,6‐dichloropyridineN‐oxide (Cl2pyNO) as the oxidant, in which the 1,2‐diols were affordedvia“one‐pot” reactions in moderate yields.
Synthesis of Amido‐N‐imidazolium Salts and their Applications as Ligands in Suzuki–Miyaura Reactions: Coupling of Hetero‐ aromatic Halides and the Synthesis of Milrinone and Irbesartan
Authors: Kumar Manian Rajesh , Park Kyungho , Lee Sunwoo 
Published: December 2010

AbstractA new catalytic system based on palladium‐amido‐N‐heterocyclic carbenes for Suzuki–Miyaura coupling reactions of heteroaryl bromides is described. A variety of sterically bulky, amido‐N‐imidazolium salts were synthesized in high yields from the corresponding anilines. This catalytic system effectively promoted Suzuki–Miyaura couplings of heteroaryl bromides and chlorides with a range of boronic acids to give the corresponding aryl compounds in high yield. The yield was increased with increasing steric bulkiness of the substituted group. Especially, 1‐(2,6‐diisopropylphenyl)‐3‐N‐(2,4,6‐tri‐tert‐butylphenylacetamido)imidazolium bromide (4bc) exhibited 850,000 TON in the coupling reaction of 2‐bromopyridine and phenylboronic acid. In addition, pharmaceutical compounds such as milrinone and irbesartan were synthesized via Suzuki–Miyaura coupling using sterically bulky, amido‐N‐imidazolium salt (4bc) as a ligand.
Lewis Acid‐Catalyzed Isomerization of 2‐Arylcyclopropane‐1,1‐dicarboxylates: A New Efficient Route to 2‐Styrylmalonates
Authors: Chagarovskiy Alexey O. , Ivanova Olga A. , Rakhmankulov Eduard R. , Budynina Ekaterina M. , Trushkov Igor V. , Melnikov Mikhail Ya. 
Published: December 2010

AbstractA facile efficient approach to the 2‐styrylmalonates via the Lewis acid‐catalyzed isomerization of 2‐arylcyclopropane‐1,1‐dicarboxylates has been developed. The efficiency of this method was demonstrated for a representative series of such cyclopropanes. The isomerization proceeds chemo‐, regio‐ and stereoselectively to afford E‐styrylmalonates in good yields.
Age and size at maturity in women: A norm of reaction?
Authors: Mcintyre Matthew H. , Kacerosky Pamela M. 
Published: December 2010

AbstractObjectives:We present the first review and meta‐analysis of the association between adult stature and age at menarche over a broad range of human societies. We then outline possible biological explanations for observed empirical associations.Methods:We analyzed the association between adult stature and age at menarche in 141 samples from published reports, including 35 samples for which the within‐sample association was also reported.Results:Overall and in small‐scale societies, later age at menarche is associated with shorter adult stature. However, both between and within samples from industrialized societies, later age at menarche is associated with taller adult stature.Conclusions:The pattern of associations between adult stature and age at menarche may be explicable as a norm of reaction that evolved according to predictions of life history theory. However, nonadaptive explanations are also plausible, especially for the positive association observed in industrialized societies. Am. J. Hum. Biol., 2010. © 2010 Wiley‐Liss, Inc.
Electrical characterization of polyaniline‐based adhesive blends
Authors: Desvergne Sandra , Gasse Adrien , Pron Adam 
Published: December 2010

AbstractPreparation and processing of conductive blends based on doped polyaniline (c‐PANI) or tetra‐aniline (c‐TANI) with epoxy resins is described. The dedoping of c‐PANI by the epoxy hardener, in the process of the blend curing, has been investigated by UV–vis–NIR spectroscopy. Classical amine hardeners lead to a quick increase of the blend resistivity during its processing, which can be correlated with the observed spectral features, characteristic of the deprotonation of c‐PANI. For these reasons, for further investigations, BF3‐amine complexes have been selected as curing agents. Using these hardeners and tuning the curing conditions (temperature and time), it is possible to obtain blends with resistivities down to 102 Ω·cm, depending on the type of the epoxy resin used. In general, resins with higher epoxy network densities give c‐PANI‐based blends of lower percolation thresholds. The effect of the c‐PANI processing solvent on the resistivity of the resulting blend is even more pronounced than the epoxy network density. In particular, blends processed from toluene show much higher resistivities than those processed from tetrahydrofuran (THF) of ethylacetate (EA). Above the percolation threshold, c‐TANI‐based epoxy blends show at least three orders of magnitude higher resistivities than their c‐PANI analogues. They are however technologically interesting, because they are not very sensitive to the processing/curing conditions and show lower percolation thresholds. © 2010 Wiley Periodicals, Inc. J Appl Polym Sci, 2011
Advancements in solid acid catalysts for ecofriendly and economically viable synthesis of biodiesel
Authors: Sharma Yogesh C. , Singh Bhaskar , Korstad John 
Published: December 2010

AbstractSolid acid (heterogeneous) catalysts have a unique advantage in esterification and transesterification reactions which enhances the use of high acid value oil to be used as feedstock for synthesis of biodiesel. Various solid acid catalysts such as resins, tungstated and sulfated zirconia, polyaniline sulfate, heteropolyacid, metal complexes, sulfated tin oxide, zeolite, acidic ionic liquid, and others have been explored as potential heterogeneous catalysts. The activity of the catalyst differs slightly resulting in moderate to high conversion and yield. The reuse of the solid catalyst is governed by their deactivation, poisoning, and the extent of leaching in the reaction medium. The applicability of these catalysts for synthesis of biodiesel along with their reusability aspect is discussed in this review. © 2010 Society of Chemical Industry and John Wiley & Sons, Ltd
Estimating profitability of two biochar production scenarios: slow pyrolysis vs fast pyrolysis
Authors: Brown Tristan R. , Wright Mark M. , Brown Robert C. 
Published: December 2010

AbstractWe estimate the profitability of producing biochar from crop residue (corn stover) for two scenarios. The first employs slow pyrolysis to generate biochar and pyrolysis gas and has the advantage of high yields of char (as much as 40 wt‐%) but the disadvantage of producing a relatively low‐value energy product (pyrolysis gas of modest heating value). The second scenario employs fast pyrolysis to maximize production of bio‐oil with biochar and pyrolysis gas as lower‐yielding coproducts. The fast pyrolysis scenario produces a substantially higher value energy product than slow pyrolysis but at the cost of higher capital investment.We calculate the internal rate of return (IRR) for each scenario as functions of cost of feedstock and projected revenues for the pyrolysis facility. The assumed price range for delivered biomass feedstock is $0 to $83 per metric ton. The assumed carbon offset value for biochar ranges from $20 per metric ton of biochar in 2015 to $60 in 2030.The slow pyrolysis scenario in 2015 is not profitable at an assumed feedstock cost of $83 per metric ton. The fast pyrolysis scenario in 2015 yields 15% IRR with the same feedstock cost because gasoline refined from the bio‐oil provides revenues of $2.96 per gallon gasoline equivalent. By 2030, the value of biochar as a carbon offset is projected to increase to $60 per metric ton and the price of gasoline is expected to reach $3.70 per gallon, which would provide investors with an IRR of 26%. © 2010 Society of Chemical Industry and John Wiley & Sons, Ltd
Estimated Distribution Functions of Electronic Redox Levels and the Rate of Chemical Reactions of Excess Electrons in Dielectric Liquids
Authors: Henglein A. 
Published: December 2010

AbstractA crude estimate of the distributions of occupied and unoccupied electronic redox levels of the system s/es− and of various acceptor systems As/As− in n‐hexane was made (es−: solvated electron; s: unoccupied solvent trap). Expressions for the rate constants of reactions of solvated and mobile electrons em− in dielectric liquids are also given. These expressions are based on the assumption that electron reactions in solution are vertical attachment processes as in the gas phase.The following conclusions can be drawn using these expressions and the estimated distribution functions of electronic redox levels:

The rate constant of reaction of excess electrons with an acceptor A should initially increase proportionally to the electron mobility μ (in various solvents with different mobilities) and at high μ values level‐off if the system As/As− has a broad distribution of unoccupied levels.
k may pass through a maximum with changing μ if the distribution of unoccupied levels of As/As− is concentrated at relatively high energies (acceptors that strongly change their atomic configuration upon electron attachment).
The temperature dependence of k should roughly correspond to the activation energy of the electron mobility in solvents of low mobility. In solvents of high electron mobility, a negative activation energy or a maximum of the rate constant at a certain temperature may occur if the acceptor system has a low density of states at the energy level of the mobile electron. All these effects have recently been observed by Beck and Thomas and Allen, Gangwer and Holroyd.
In the case of acceptors such as oxygen, whose redox potential is significantly more positive than that of s/es−, a relatively slow rate of reaction with excess electrons may be expected provided that the electron cannot be captured into a higher orbital of the product‐anion.
An upper limit of 0.45 eV of the difference in the redox potentials of the system s/es− and C12H/C12H− in tetramethylsilane was obtained. It is in agreement with the dissociation constant of the biphenyl anion (s + C6H → C6H + es−) which has recently been measured by Warman et al.
How people familiarize themselves with complex ecological concepts—anchoring of social representations of invasive non‐native species
Authors: Selge Sebastian , Fischer Anke 
Published: December 2010

AbstractNew terms and frameworks are constantly being incorporated into scientific and public discourses on the management of natural resources and the environment. The idea of invasive non‐native plant and animal species, i.e. of species that enter a new range and spread prolifically, is currently becoming part of the public discourse in Scotland. This constitutes a valuable opportunity to study how people engage with new scientific concepts. We analysed focus group and personal interview data to examine how participants (including the general public, conservation volunteers and scientists) familiarized themselves with the ecological concept of invasive non‐native species. Our analysis draws on the idea of anchoring in the formation of social representations, complemented by concepts from cognitive linguistics and conceptual blending, and defines anchoring as a process of information transfer from source to target domains. Our findings suggest that social representations of invasive non‐native species were constituted to a large degree by perceptions of species' detrimental impacts and the human role in and responsibility for the introduction process. By contrast, the non‐nativeness of a species was not relevant for participants from the general public and conservation volunteers. Three types of anchoring could be distinguished in our participants' discussions that differed with regard to the relations between source and target domain. Whereas participants from the general public and conservation volunteers used all three types of anchoring, scientists did not. The identification of different anchoring types also helped to explain incongruencies in the scientific discourse on invasive non‐native species, and has implications for public information campaigns. Copyright © 2010 John Wiley & Sons, Ltd.