602 research outputs found

    Some issues in monetary economics

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    Money supply ; Money theory ; Inflation (Finance)

    The role of the Legendre transform in the study of the Floer complex of cotangent bundles

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    Consider a classical Hamiltonian H on the cotangent bundle T*M of a closed orientable manifold M, and let L:TM -> R be its Legendre-dual Lagrangian. In a previous paper we constructed an isomorphism Phi from the Morse complex of the Lagrangian action functional which is associated to L to the Floer complex which is determined by H. In this paper we give an explicit construction of a homotopy inverse Psi of Phi. Contrary to other previously defined maps going in the same direction, Psi is an isomorphism at the chain level and preserves the action filtration. Its definition is based on counting Floer trajectories on the negative half-cylinder which on the boundary satisfy "half" of the Hamilton equations. Albeit not of Lagrangian type, such a boundary condition defines Fredholm operators with good compactness properties. We also present a heuristic argument which, independently on any Fredholm and compactness analysis, explains why the spaces of maps which are used in the definition of Phi and Psi are the natural ones. The Legendre transform plays a crucial role both in our rigorous and in our heuristic arguments. We treat with some detail the delicate issue of orientations and show that the homology of the Floer complex is isomorphic to the singular homology of the loop space of M with a system of local coefficients, which is defined by the pull-back of the second Stiefel-Whitney class of TM on 2-tori in M

    A Time Series Analysis of Interest Rates

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    Continuous time random walk and parametric subordination in fractional diffusion

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    The well-scaled transition to the diffusion limit in the framework of the theory of continuous-time random walk (CTRW)is presented starting from its representation as an infinite series that points out the subordinated character of the CTRW itself. We treat the CTRW as a combination of a random walk on the axis of physical time with a random walk in space, both walks happening in discrete operational time. In the continuum limit we obtain a generally non-Markovian diffusion process governed by a space-time fractional diffusion equation. The essential assumption is that the probabilities for waiting times and jump-widths behave asymptotically like powers with negative exponents related to the orders of the fractional derivatives. By what we call parametric subordination, applied to a combination of a Markov process with a positively oriented L\'evy process, we generate and display sample paths for some special cases.Comment: 28 pages, 18 figures. Workshop 'In Search of a Theory of Complexity'. Denton, Texas, August 200

    The rank of a hypergeometric system

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    The holonomic rank of the A-hypergeometric system M_A(\beta) is the degree of the toric ideal I_A for generic parameters; in general, this is only a lower bound. To the semigroup ring of A we attach the ranking arrangement and use this algebraic invariant and the exceptional arrangement of nongeneric parameters to construct a combinatorial formula for the rank jump of M_A(\beta). As consequences, we obtain a refinement of the stratification of the exceptional arrangement by the rank of M_A(\beta) and show that the Zariski closure of each of its strata is a union of translates of linear subspaces of the parameter space. These results hold for generalized A-hypergeometric systems as well, where the semigroup ring of A is replaced by a nontrivial weakly toric module M contained in \CC[\ZZ A]. We also provide a direct proof of the result of M. Saito and W. Traves regarding the isomorphism classes of M_A(\beta).Comment: 32 pages. To appear in Compositio Mathematica. Revisions have been made to the exposition, and the notation has been simplifie

    PARTISIPASI POLITIK MAHASISWA BUOL DALAM PEMILIHAN UMUM 2019

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    ABSTRAKKeberadaan mahasiswa Buol yang tergabung dalam organisasi Persatuan Pelajar Mahasiswa Indonesia Buol (PPMIB) di Gorontalo berjumlah 152 orang dengan komposisi laki-laki 69 orang dan perempuan 83 orang[1]. Dalam menggunakan hak pilih hanya berkisar 57% yang berpartisipasi dalam Pemilu 2019 di Kabupaten Buol, sementara sekitar 43 % yang tidak menggunakan hak pilih. Tulisan ini bertujuan untuk melihat partisipasi politik mahasiwa Buol dalam menggunakan hak politik serta faktor yang mempengaruhi partisipasi politik dalam menggunakan hak politik. Tulisan ini menggunakan metode kualitatif dengan pendekatan fenomenologis. Hasil penelitian menunjukan bahwa, secara keseluruhan mahasiswa Buol di Gorontalo mempunyai keinginan untuk berpartisipasi dalam Pemilu 2019, namun aspek biaya transportasi yang menjadi kendala bagi mahasiswa untuk menyalurkan hak politiknya. Disisi lain ada sekitar 57% mahasiswa yang mendapat akomodasi transportasi melalui partai politik dan calon legislatif. Adapun yang menjadi faktor pendorong partisipasi politik mahsiswa Buol dalam memberikan hak politik adalah pertimbangan kandidat, faktor mobilisasi dan kinsip atau kekerabatan melalui peguyuban (PPMIB) di Gorontalo. Kata Kunci : Partisipasi Politik, Mahasiswa, Pemilu 2019  ABSTRACT                The existence of Buol students who are members of the Indonesian Buol Student Association (PPMIB) in Gorontalo totaled 152 people with a composition of 69 men and 83 women. In exercising the right to vote only around 57% participated in the 2019 elections in Buol District, while around 43% did not exercise their right to vote. This paper aims to look at the political participation of Buol students in exercising political rights as well as the factors that influence political participation in using political rights. This paper uses a qualitative method with a phenomenological approach. The results showed that, overall, the Buol students in Gorontalo had the desire to participate in the 2019 elections, but aspects of transportation costs were an obstacle for students to channel their political rights. On the other hand there are around 57% of students who get transportation accommodations through political parties and legislative candidates. As for the factors that drive the political participation of Buol students in providing political rights is the consideration of candidates, mobilization factors and principles or kinship through community groups (PPMIB) in Gorontalo. Keywords: Political Participation, Students, 2019 Elections[1] Sumber : Sekretariat PPMIB di Gorontalo tahun 201

    Community College and University Interprofessional Collaboration: Student Centered Partnership Between Nutrition and Dental Hygiene Faculty

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    Interprofessional education (IPE) is critical in today’s educational and healthcare arenas. This article describes the initial design, implementation, and evaluation of a Community College/ University IPE collaboration that enabled dental hygiene graduate students to satisfy course requirements and service learning competencies, promoted faculty development, and also served the community. Under the direction of a community college dietetics professor, students and faculty from both academic institutions had opportunities to participate in community outreach events. Experiences included teacher recertification training for community college credits in the local school system, paraprofessional workshops, community-based health fairs, career counseling, guest lectures, expanded internship sites, and access to daycare personnel studying childcare. Step-bystep procedures for implementing such a model offers guidance for other institutions seeking to replicate the arrangement. The model presented in this paper can serve as a guide for curriculum integration with a variety of nursing and allied health programs. Partnerships of this nature provide rich environments for faculty development, program marketing, transfer counseling, student service learning experiences, IPE collaborations, and access to community at-risk populations
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