113,693 research outputs found

    Joshua Davis: Author of Spare Parts

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    Citation: K-State First (2016). Joshua Davis: Author of Spare Parts [Flier]. Manhattan, Kansas: K-State First.Flyer advertising Joshua Davis's author talk at Kansas State University

    Three nontrivial solutions for the p-Laplacian Neumann problems with a concave nonlinearity near the origin

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    We consider a nonlinear Neumann problem driven by the p- Laplacian, with a right-hand side nonlinearity which is concave near the origin. Using variational techniques, combined with the method of upper-lower solutions and with Morse theory, we show that the problem has at least three nontrivial smooth solutions, two of which have a constant sign (one positive and one negative).FCTPOCI/MAT/55524/200

    Multiple boundary peak solutions for some singularly perturbed Neumann problems

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    We consider the problem \left \{ \begin{array}{rcl} \varepsilon^2 \Delta u - u + f(u) = 0 & \mbox{ in }& \ \Omega\\ u > 0 \ \mbox{ in} \ \Omega, \ \frac{\partial u}{\partial \nu} = 0 & \mbox{ on }& \ \partial\Omega, \end{array} \right. where \Omega is a bounded smooth domain in R^N, \varepsilon>isasmallparameterandfisasuperlinear,subcriticalnonlinearity.Itisknownthatthisequationpossessesboundaryspikesolutionssuchthatthespikeconcentrates,asεapproacheszero,atacriticalpointofthemeancurvaturefunctionH(P),PΩ.ItisalsoknownthatthisequationhasmultipleboundaryspikesolutionsatmultiplenondegeneratecriticalpointsofH(P)ormultiplelocalmaximumpointsofH(P).Inthispaper,weprovethatforanyfixedpositiveinteger is a small parameter and f is a superlinear, subcritical nonlinearity. It is known that this equation possesses boundary spike solutions such that the spike concentrates, as \varepsilon approaches zero, at a critical point of the mean curvature function H(P), P \in \partial \Omega . It is also known that this equation has multiple boundary spike solutions at multiple nondegenerate critical points of H(P) or multiple local maximum points of H(P). In this paper, we prove that for any fixed positive integer Kthereexistboundary there exist boundary K-peaksolutionsatalocalminimumpointof solutions at a local minimum point of H(P).Thisimpliesthatforanysmoothandboundeddomaintherealwaysexistboundary. This implies that for any smooth and bounded domain there always exist boundary K-peak$ solutions. We first use the Liapunov-Schmidt method to reduce the problem to finite dimensions. Then we use a maximizing procedure to obtain multiple boundary spikes

    Steven Johnson Author Talk Poster

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    K-State Book NetworkA poster advertising an author talk by Steven Johnson at Kansas State University on September 3, 2014. Steven Johnson's book "The Ghost Map" was the 2014-2015 common book

    The von Neumann Model and the Early Models of General Equilibrium

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    The paper reconstructs the von Neumann model, comments on its salient features and critically reviews some of its generalisations. The issues related to thetreatment of consumption, decomposability and uniqueness of the rate of growth and interest will be especially scrutinised. The most prominent models of general equilibrium that appeared before or roughly at the same time as von Neumann's model will be also reviewed in the paper and compared with it. It will be demonstrated that none of them had any noticeable influence on von Neumann's model, which is genuinely distinct, ideologically free and methodologically fresh and forward-looking. It will be argued that the model can be viewed as a brilliant mathematical metaphor of some deep-rooted old vision, pertaining to the core issues of commodity production

    Kochen-Specker theorem for von Neumann algebras

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    The Kochen-Specker theorem has been discussed intensely ever since its original proof in 1967. It is one of the central no-go theorems of quantum theory, showing the non-existence of a certain kind of hidden states models. In this paper, we first offer a new, non-combinatorial proof for quantum systems with a type I_n factor as algebra of observables, including I_infinity. Afterwards, we give a proof of the Kochen-Specker theorem for an arbitrary von Neumann algebra R without summands of types I_1 and I_2, using a known result on two-valued measures on the projection lattice P(R). Some connections with presheaf formulations as proposed by Isham and Butterfield are made

    Flat bundles, von Neumann algebras and K-theory with R/Z-coefficients

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    Let M be a closed manifold and α: π 1 (M) → Un a representation. We give a purely K-theoretic description of the associated element in the K-theory group of M with ℝ/ℤ-coefficients ([α] ∈ K 1 (M;ℝ/ℤ)). To that end, it is convenient to describe the ℝ/ℤ-K-theory as a relative K-theory of the unital inclusion of ℂ into a finite von Neumann algebra B. We use the following fact: there is, associated with α, a finite von Neumann algebra B together with a flat bundle ε → M with fibers B, such that Eα ⊗ ε is canonically isomorphic with ℂn ⊗ ε, where Eα denotes the flat bundle with fiber ℂn associated with α. We also discuss the spectral flow and rho type description of the pairing of the class [α] with the K-homology class of an elliptic selfadjoint (pseudo)-differential operator D of order 1. Copyright © ISOPP 2014

    Irrational behavior in the Brown-von Neumann-Nash dynamics

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    We present a class of games with a pure strategy being strictly dominated by another pure strategy such that the former survives along most solutions of the Brown-von Neumann-Nash dynamics.Nash map, BNN dynamics, Dominated strategies

    Álgebras de von Neumann - fatores

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    Dissertação (mestrado) - Universidade Federal de Santa Catarina, Centro de Ciências Físicas e Matemáticas, Programa de Pós-Graduação em Matemática e Computação Científica, Florianópolis, 2011Dada uma álgebra de von Neumann M em L(H), onde L(H) é o espaço dos operadores lineares e limitados sobre um espaço de Hilbert H, dizemos que M é um fator se seu centro consiste somente por múltiplos escalares do operador identidade de L(H). Quando M é um fator, podemos classificá-lo em tipo I, II e III. Além disso, o tipo II pode ser dividido em dois sub-tipos. O objetivo dessa dissertação é exibir exemplos de fatores, bem como exemplos dos tipos I, II e seus sub-tipos

    Pennsylvania K-12 Public School Teachers’ Perceptions of Learning Management Systems During the COVID-19 Pandemic

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    The purpose of this explanatory sequential mixed methods study was to explore Pennsylvania K-12 public school teachers’ perceptions of LMS since the onset of COVID-19. The study evaluated teachers’ perception of LMS. In March 2020, schools across the United States shifted to online learning due to the pandemic. This pivot in the delivery of instruction forced many educators to acquire new instructional strategies and technologies. Consequentially, teachers were using Learning Management Systems (LMS) more due to the onset of the pandemic. With the Technology Acceptance Model (TAM) and an extension of TAM as the conceptual framework, this study explored K-12 public school teachers’ perceptions of LMS. The participants of this study were K-12 public school teachers from Pennsylvania who have taught since 2019. The study took place during the 2022-2023 school year. The quantitative data was collected through a 7-point Likert Scale survey (Fathema 2013) and adapted for this study. The survey was administered to 242 participants. The qualitative data was collected through open-ended questions in the survey and through semi-structured interviews with 8 willing participants. Results indicated participants had positive perceived ease of use (PEOU) and perceived usefulness (PU) regarding the LMS they use. Teachers reported perceived strengths and weaknesses of LMS. The data showed differences between participant groups as well as no significant differences between groups. This study found statistically significant positive strong relationships between PEOU, PU, and System Quality (SQ). This study will benefit school leaders and technology companies in planning and implementing LMS to their teachers
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