bluuebunny/crossref_metadata_2025_split huggingface dataset:
Algebraicity of some Weil Hodge Classes
Authors: Koike Kenji 
Published: December 2010

AbstractWe show that the Prym map for 4-th cyclic étale covers of curves of genus 4 is a dominant morphism to a Shimura variety for a family of Abelian 6-folds of Weil type. According to the result of Schoen, this implies algebraicity of Weil classes for this family.
On the Surjectivity of the Galois Representations Associated to Non-CM Elliptic Curves
Authors: Cojocaru Alina Carmen , Kani Ernst 
Published: December 2010

AbstractLet E be an elliptic curve defined over ℚ, of conductor N and without complex multiplication. For any positive integer l, let ϕl be the Galois representation associated to the l-division points of E. From a celebrated 1972 result of Serre we know that ϕl is surjective for any sufficiently large prime l. In this paper we find conditional and unconditional upper bounds in terms of N for the primes l for which ϕl is not surjective.
Injectivity of the Connecting Maps in AH Inductive Limit Systems
Authors: Elliott George A. , Gong Guihua , Li Liangqing 
Published: December 2010

AbstractLetAbe the inductive limit of a systemwith, whereXn,iis a finite simplicial complex, andPn,iis a projection inM[n,i](C(Xn,i)). In this paper, we will prove thatAcan be written as another inductive limitwith, whereYn,iis a finite simplicial complex, andQn,iis a projection inM{n,i}(C(Yn,i)), with the extra condition that all the mapsψn,n+1areinjective. (The result is trivial if one allows the spacesYn,ito be arbitrary compact metrizable spaces.) This result is important for the classification of simple AH algebras. The special case that the spacesXn,iare graphs is due to the third author.
Trivial Units for Group Rings withG-adapted Coefficient Rings
Authors: Herman Allen , Li Yuanlin , Parmenter M. M. 
Published: December 2010

AbstractFor each finite groupGfor which the integral group ring ℤGhas only trivial units, we give ring-theoretic conditions for a commutative ringRunder which the group ringRGhas nontrivial units. Several examples of rings satisfying the conditions and rings not satisfying the conditions are given. In addition, we extend a well-known result for fields by showing that ifRis a ring of finite characteristic andRGhas only trivial units, thenGhas order at most 3.
On Suslinian Continua
Authors: Daniel D. , Nikiel J. , Treybig L. B. , Tuncali H. M. , Tymchatyn E. D. 
Published: December 2010

AbstractA continuumis said to be Suslinian if it does not contain uncountably many mutually exclusive nondegenerate subcontinua. We prove that Suslinian continua are perfectly normal and rim-metrizable. Locally connected Suslinian continua have weight atmost ω1 and under appropriate set-theoretic conditions are metrizable. Non-separable locally connected Suslinian continua are rim-finite on some open set.
The Distribution of Totatives
Authors: Germain Jam 
Published: December 2010

AbstractThe integers coprime to n are called the totatives of n. D. H. Lehmer and Paul Erdős were interested in understanding when the number of totatives between in/k and (i +1)n/k are 1/kth of the total number of totatives up to n. They provided criteria in various cases. Here we give an “if and only if” criterion which allows us to recover most of the previous results in this literature and to go beyond, as well to reformulate the problem in terms of combinatorial group theory. Our criterion is that the above holds if and only if for every odd character χ (mod κ) (where κ := k/ gcd(k, n/ Πp|n p)) there exists a prime p = pχ dividing n for which χ(p) = 1.
Counting Multiple Cyclic Choices Without Adjacencies
Authors: McLeod Alice , Moser William 
Published: December 2010

AbstractWe give a particularly elementary solution to the following well-known problem. What is the number of k-subsets X ⊆ In = {1, 2, 3, … , n} satisfying “no two elements of X are adjacent in the circular display of In”? Then we investigate a new generalization (multiple cyclic choices without adjacencies) and apply it to enumerating a class of 3-line latin rectangles.
Short Geodesics of Unitaries in the L2 Metric
Authors: Andruchow Esteban 
Published: December 2010

AbstractLet ℳ be a type II1 von Neumann algebra, τ a trace in ℳ, and L2 (ℳ, τ) the GNS Hilbert space of τ . We regard the unitary group Uℳ as a subset of L2(ℳ, τ) and characterize the shortest smooth curves joining two fixed unitaries in the L2 metric. As a consequence of this we obtain that Uℳ, though a complete (metric) topological group, is not an embedded riemannian submanifold of L2(ℳ, τ)
Trigonometric Multipliers on H2π
Authors: Daly J. E. , Fridli S. 
Published: December 2010

AbstractIn this paper we consider multipliers on the real Hardy space H2π. It is known that the Marcinkiewicz and the Hörmander–Mihlin conditions are sufficient for the corresponding trigonometric multiplier to be bounded on , 1 < p < ∞. We show among others that the Hörmander– Mihlin condition extends to H2π but the Marcinkiewicz condition does not.
On the Garsia Lie Idempotent
Authors: Patras Frédéric , Reutenauer Christophe , Schocker Manfred 
Published: December 2010

AbstractThe orthogonal projection of the free associative algebra onto the free Lie algebra is afforded by an idempotent in the rational group algebra of the symmetric groupSn, in each homogenous degreen. We give various characterizations of this Lie idempotent and show that it is uniquely determined by a certain unit in the group algebra ofSn−1. The inverse of this unit, or, equivalently, the Gram matrix of the orthogonal projection, is described explicitly. We also show that the Garsia Lie idempotent is not constant on descent classes (in fact, not even on coplactic classes) inSn.
Degeneracy of 2-Forms and 3-Forms
Authors: Fehér L. M. , Némethi A. , Rimányi R. 
Published: December 2010

AbstractWe study some global aspects of differential complex 2-forms and 3-forms on complex manifolds. We compute the cohomology classes represented by the sets of points on a manifold where such a form degenerates in various senses, together with other similar cohomological obstructions. Based on these results and a formula for projective representations, we calculate the degree of the projectivization of certain orbits of the representation Λkℂn.
Evaluation of the Dedekind Eta Function
Authors: Chapman Robin , Hart William 
Published: December 2010

AbstractWe extend the methods of Van der Poorten and Chapman for explicitly evaluating the Dedekind eta function at quadratic irrationalities. Via evaluation of HeckeL-series we obtain new evaluations at points in imaginary quadratic number fields with class numbers 3 and 4. Further, we overcome the limitations of the earlier methods and via modular equations provide explicit evaluations where the class number is 5 or 7.
A Double Triangle Operator Algebra From SL2(ℝ+)
Authors: Levene R. H. 
Published: December 2010

AbstractWe consider the w*-closed operator algebra generated by the image of the semigroup SL2(ℝ+) under a unitary representation ρ of SL2(ℝ) on the Hilbert space L2(ℝ). We show that is a reflexive operator algebra and = Alg where is a double triangle subspace lattice. Surprisingly, is also generated as a w*-closed algebra by the image under ρ of a strict subsemigroup of SL2(ℝ+).
Weighted Brianchon-Gram Decomposition
Authors: Agapito J. 
Published: December 2010

AbstractWe give in this note a weighted version of Brianchon and Gram's decomposition for a simple polytope. We can derive from this decomposition the weighted polar formula of Agapito and a weighted version of Brion's theorem, in a manner similar to Haase, where the unweighted case is worked out. This weighted version of Brianchon and Gram's decomposition is a direct consequence of the ordinary Brianchon–Gram formula.
A Free Logarithmic Sobolev Inequality on the Circle
Authors: Hiai Fumio , Petz Dénes , Ueda Yoshimichi 
Published: December 2010

AbstractFree analogues of the logarithmic Sobolev inequality compare the relative free Fisher information with the relative free entropy. In the present paper such an inequality is obtained for measures on the circle. The method is based on a random matrix approximation procedure, and a large deviation result concerning the eigenvalue distribution of special unitary matrices is applied and discussed.
Vector-Valued Modular Forms of Weight Two Associated With Jacobi-Like Forms
Authors: Lee Min Ho 
Published: December 2010

AbstractWe construct vector-valued modular forms of weight 2 associated to Jacobi-like forms with respect to a symmetric tensor representation of Γ by using the method of Kuga and Shimura as well as the correspondence between Jacobi-like forms and sequences of modular forms. As an application, we obtain vector-valued modular forms determined by theta functions and by pseudodifferential operators.
Conjugacy Classes of Subalgebras of the Real Sedenions
Authors: Chan Kai-Cheong , Đoković Dragomir Ž. 
Published: December 2010

AbstractBy applying the Cayley–Dickson process to the division algebra of real octonions, one obtains a 16-dimensional real algebra known as (real) sedenions. We denote this algebra by A4. It is a flexible quadratic algebra (with unit element 1) but not a division algebra.We classify the subalgebras of A4 up to conjugacy (i.e., up to the action of the automorphismgroup G of A4) with one exception: we leave aside the more complicated case of classifying the quaternion subalgebras. Any nonzero subalgebra contains 1 and we show that there are no proper subalgebras of dimension 5, 7 or > 8. The proper non-division subalgebras have dimensions 3, 6 and 8. We show that in each of these dimensions there is exactly one conjugacy class of such subalgebras. There are infinitely many conjugacy classes of subalgebras in dimensions 2 and 4, but only 4 conjugacy classes in dimension 8.
On Non-Integral Dehn Surgeries Creating Non-Orientable Surfaces
Authors: Teragaito Masakazu 
Published: December 2010

AbstractFor a non-trivial knot in the 3-sphere, only integral Dehn surgery can create a closed 3-manifold containing a projective plane. If we restrict ourselves to hyperbolic knots, the corresponding claim for a Klein bottle is still true. In contrast to these, we show that non-integral surgery on a hyperbolic knot can create a closed non-orientable surface of any genus greater than two.
Approximation and the Topology of Rationally Convex Sets
Authors: Zeron E. S. 
Published: December 2010

AbstractConsidering a mappinggholomorphic on a neighbourhood of a rationally convex setK⊂ ℂn, and range into the complex projective space ℂℙm, the main objective of this paper is to show that we can uniformly approximategonKby rational mappings defined from ℂninto ℂℙm. We only need to ask that the second Čech cohomology groupȞ2(K, ℤ) vanishes.
Tensor Square of the Minimal Representation ofO(p,q)
Authors: Dvorsky Alexander 
Published: December 2010

AbstractIn this paper, we study the tensor product π = σmin⊗ σminof the minimal representation σminofO(p,q) with itself, and decompose π into a direct integral of irreducible representations. The decomposition is given in terms of the Plancherel measure on a certain real hyperbolic space.
Hermitian Harmonic Maps into Convex Balls
Authors: Li Zhen Yang , Zhang Xi 
Published: December 2010

AbstractIn this paper, we consider Hermitian harmonic maps from Hermitian manifolds into convex balls. We prove that there exist no non-trivial Hermitian harmonic maps from closed Hermitian manifolds into convex balls, and we use the heat flow method to solve the Dirichlet problem for Hermitian harmonic maps when the domain is a compact Hermitian manifold with non-empty boundary.
Plane Quartic Twists of X(5, 3)
Authors: Fernández Julio , González Josep , Lario Joan-C. 
Published: December 2010

AbstractGiven an odd surjective Galois representation ϱ: Gℚ → PGL2(3) and a positive integer N, there exists a twisted modular curve X(N, 3)ϱ defined over ℚ whose rational points classify the quadratic ℚ-curves of degree N realizing ϱ. This paper gives a method to provide an explicit plane quartic model for this curve in the genus-three case N = 5.
Elliptic K3 Surfaces with Geometric Mordell–Weil Rank 15
Authors: Kloosterman Remke 
Published: December 2010

AbstractWe prove that the elliptic surface y2 = x3 + 2(t8 + 14t4 + 1)x + 4t2(t8 + 6t4 + 1) has geometric Mordell–Weil rank 15. This completes a list of Kuwata, who gave explicit examples of elliptic K3-surfaces with geometric Mordell–Weil ranks 0, 1, … , 14, 16, 17, 18.
AF-Skeletons and Real Rank Zero Algebras with the Corona Factorization Property
Authors: Kucerovsky D. , Ng P. W. 
Published: December 2010

AbstractLet A be a stable, separable, real rank zeroC*-algebra, and suppose that A has an AF-skeleton with only finitely many extreme traces. Then the corona algebra (A)/A is purely infinite in the sense of Kirchberg and Rørdam, which implies that A has the corona factorization property.
Second Order Mock Theta Functions
Authors: McIntosh Richard J. 
Published: December 2010

AbstractIn his last letter to Hardy, Ramanujan defined 17 functions F(q), where |q| < 1. He called them mock theta functions, because as q radially approaches any point e2πir (r rational), there is a theta function Fr(q) with F(q) − Fr(q) = O(1). In this paper we establish the relationship between two families of mock theta functions.
On Cauchy–Liouville–Mirimanoff Polynomials
Authors: Tzermias Pavlos 
Published: December 2010

AbstractLet p be a prime greater than or equal to 17 and congruent to 2 modulo 3. We use results of Beukers and Helou on Cauchy–Liouville–Mirimanoff polynomials to show that the intersection of the Fermat curve of degree p with the line X + Y = Z in the projective plane contains no algebraic points of degree d with 3 ≤ d ≤ 11. We prove a result on the roots of these polynomials and show that, experimentally, they seem to satisfy the conditions of a mild extension of an irreducibility theorem of Pólya and Szegö. These conditions are conjecturally also necessary for irreducibility.
Expansions in Complex Bases
Authors: Komornik Vilmos , Loreti Paola 
Published: December 2010

AbstractBeginning with a seminal paper of Rényi, expansions in noninteger real bases have been widely studied in the last forty years. They turned out to be relevant in various domains of mathematics, such as the theory of finite automata, number theory, fractals or dynamical systems. Several results were extended by Daróczy and Kátai for expansions in complex bases. We introduce an adaptation of the so-called greedy algorithm to the complex case, and we generalize one of their main theorems.
Discriminants of Complex Multiplication Fields of Elliptic Curves over Finite Fields
Authors: Luca Florian , Shparlinski Igor E. 
Published: December 2010

AbstractWe show that, for most of the elliptic curves E over a prime finite field p of p elements, the discriminant D(E) of the quadratic number field containing the endomorphism ring of E over p is sufficiently large. We also obtain an asymptotic formula for the number of distinct quadratic number fields generated by the endomorphism rings of all elliptic curves over p.
Generalizations of Frobenius’ Theorem on Manifolds and Subcartesian Spaces
Authors: Śniatycki Jędrzej 
Published: December 2010

AbstractLet be a family of vector fields on a manifold or a subcartesian space spanning a distribution D. We prove that an orbit O of is an integral manifold of D if D is involutive on O and it has constant rank on O. This result implies Frobenius’ theorem, and its various generalizations, on manifolds as well as on subcartesian spaces.
Simple Decompositions of the Exceptional Jordan Algebra
Authors: Tvalavadze M. V. 
Published: December 2010

AbstractThis paper presents some results on the simple exceptional Jordan algebra over an algebraically closed field Φ of characteristic not 2. Namely an example of simple decomposition of H(O3) into the sumof two subalgebras of the typeH(Q3) is produced, and it is shown that this decomposition is the only one possible in terms of simple subalgebras.
Generalized Descent Algebras
Authors: Hohlweg Christophe 
Published: December 2010

AbstractIfAis a subset of the set of reflections of a finite Coxeter groupW, we define a sub-ℤ-moduleof the group algebra ℤW. We discuss cases where this submodule is a subalgebra. This family of subalgebras includes strictly the Solomon descent algebra, the group algebra and, ifWis of typeB, the Mantaci–Reutenauer algebra.
Exotic Torsion, Frobenius Splitting and the Slope Spectral Sequence
Authors: Joshi Kirti 
Published: December 2010

AbstractIn this paper we show that any Frobenius split, smooth, projective threefold over a perfect field of characteristic p > 0 is Hodge–Witt. This is proved by generalizing to the case of threefolds a well-known criterion due to N. Nygaard for surfaces to be Hodge-Witt. We also show that the second crystalline cohomology of any smooth, projective Frobenius split variety does not have any exotic torsion. In the last two sections we include some applications.
Addressing current issues in assessing professional rapport: A systematic review and synthesis of existing measures
Authors: Brouillard Celine , Gabbert Fiona , Scott Adrian J. 
Published: May 2024

AbstractThe role of rapport facilitating cooperation and information disclosure has been widely acknowledged by both researchers and practitioners across professional information‐gathering contexts. However, the definition and assessment of rapport are still debated, resulting in a lack of reliable and commonly used tools to effectively measure rapport. This review explored how rapport has been measured in professional information‐gathering contexts and illustrates key characteristics of published measures in a searchable systematic map. A total of 111 research articles and 126 measures of rapport were evaluated based on standards in scale development and validation. The measures' conceptualisation of rapport was also examined with their individual items being coded for the following theorised components of rapport: (i) paying attention, (ii) personalising the interview/interaction, (iii) being approachable and (iv) establishing a mutual connection. Findings are synthesised and discussed in relation to the overarching patterns found, including limited consistency and validity in current measures of rapport.
Relationship of Fatigue, Pain Interference, and Physical Disability in Children Newly Diagnosed With Juvenile Idiopathic Arthritis
Authors: Choong Naomi , Batthish Michelle , Berard Roberta A. , Chédeville Gaëlle , Feldman Brian M. , Houghton Kristin M. , Huber Adam M. , James Sarah , Proulx‐Gauthier Jean‐Philippe , Rumsey Dax G. , Schmeling Heinrike , Toupin‐April Karine , Guzman Jaime ,   for the CAPRI Registry Investigators
Published: May 2024

ObjectiveOur objectives were to quantify the relationships among fatigue, pain interference, and physical disability in children with juvenile idiopathic arthritis (JIA) and to test whether fatigue mediates the relationship between pain interference and physical disability in JIA.MethodsPatients enrolled within three months of JIA diagnosis in the Canadian Alliance of Pediatric Rheumatology Investigators (CAPRI) Registry between February 2017 and May 2023 were included. Their parents completed the Patient‐Reported Outcomes Measurement Information System fatigue and pain interference short proxy questionnaires and the Childhood Health Assessment Questionnaire disability index at registry enrollment. Associations were assessed using Pearson correlations and multiple linear regression. Structural equation modeling (SEM) was used to test if fatigue mediates the relationship between pain interference and physical disability.ResultsAmong 855 patients (61.4% female, 44.1% with oligoarthritis), most reported fatigue and pain interference scores similar to those in the reference population, but 15.6% reported severe fatigue and 7.3% reported severe pain interference, with wide variation across JIA categories. Fatigue was strongly correlated with pain interference (r = 0.72, P < 0.001) and with physical disability (r = 0.60, P < 0.001). Pain interference (β = 0.027, P < 0.001) and fatigue (β = 0.013, P < 0.001) were both associated with physical disability after controlling for each other and potential confounders. SEM supported our hypothesis that fatigue partially mediates the relationship between pain interference and physical disability.ConclusionOur findings suggest both fatigue and pain interference are independently associated with physical disability in children newly diagnosed with JIA, and the effect of pain interference may be partly mediated by fatigue.
Aqueous Room‐Temperature Synthesis of Transition Metal Dichalcogenide Nanoparticles: A Sustainable Route to Efficient Hydrogen Evolution
Authors: Li Jing , Miró Roger , Wrzesińska‐Lashkova Angelika , Yu Jing , Arbiol Jordi , Vaynzof Yana , Shavel Alexey , Lesnyak Vladimir 
Published: May 2024

AbstractTransition metal dichalcogenides (TMDs) have emerged as a focal point in electrocatalysis, particularly for the hydrogen evolution reaction (HER), owing to their notable catalytic activity, chemical stability, and cost‐efficiency. Despite these advantages, the challenge of devising a practical and economical method for their large‐scale application in HER remains an unresolved and critical issue. In this study, a facile, scalable, and cost‐effective approach is introduced for producing high‐yield, catalytically active TMD nanoparticles, including MoS2, MoSe2, RuS2, and RuSe2. These nanoparticles are synthesized through an aqueous room‐temperature process, which is not only environmentally friendly but also economically feasible for large‐scale production. Remarkably, these TMD nanoparticles exhibit versatile catalytic activity across a broad pH range for HER. Among them, RuSe2 nanoparticles demonstrate catalytic performance comparable to that of a commercial Pt/C electrode. Upon scaling up, the nanomaterials show great potential for integration into practical proton exchange membrane water electrolyzers, maintaining high efficiency even at large current densities and exhibiting very stable performance for up to 100 h. This research paves the way to a sustainable synthesis method of high‐performance catalysts, tailored for industrial hydrogen production applications.
Ruthenium–Nickel Nanoparticles with Unconventional Face‐Centered Cubic Crystal Phase for Highly Active Electrocatalytic Hydrogen Evolution
Authors: Chen Kang , Liu Ziyang , Zhu Shiyu , Liu Yuan , Liu Yun , Wang Lingrui , Xia Tianyu , Zhao Zhonglong , Gao Han , Cheng Shaobo , Guo Haizhong 
Published: May 2024

AbstractRu‐based nanomaterials are promising alternatives to Pt electrocatalysts for green hydrogen energy generation, and crystal phase engineering holds the key to unlocking their catalytic potential to new heights. However, controllable phase regulation on Ru‐alloys remains a formidable challenge, and unraveling the crystal phase‐related electrocatalytic performance is of great significance. Herein, RuNi nanoparticles are successfully synthesized with an unconventional face‐centered cubic (fcc) phase via a facile route. Comprehensive transmission electron microscopy confirmed the structural characteristics of the fcc‐RuNi and electrochemical analyses indicate the impressive electrocatalytic hydrogen evolution reaction of fcc‐RuNi. Notably, the anomalous fcc‐RuNi nanoparticles possess an extraordinarily low overpotential of 16 mV in hydrogen evolution. Density functional theory calculations indicate that these nanoparticles are energetically conducive to intermediate desorption and H2O dissociation. This study enhances comprehension of phase regulation in Ru‐based nanostructures and will propel phase engineering in diverse catalytic applications.