Search results for: holomorphic

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holomorphic</title> <meta name="description" content="Search results for: holomorphic"> <meta name="keywords" content="holomorphic"> <meta name="viewport" content="width=device-width, initial-scale=1, minimum-scale=1, maximum-scale=1, user-scalable=no"> <meta charset="utf-8"> <link href="https://cdn.waset.org/favicon.ico" type="image/x-icon" rel="shortcut icon"> <link href="https://cdn.waset.org/static/plugins/bootstrap-4.2.1/css/bootstrap.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/plugins/fontawesome/css/all.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/css/site.css?v=150220211555" rel="stylesheet"> </head> <body> <header> <div class="container"> <nav class="navbar navbar-expand-lg navbar-light"> <a class="navbar-brand" href="https://waset.org"> <img src="https://cdn.waset.org/static/images/wasetc.png" alt="Open Science Research Excellence" title="Open Science Research Excellence" /> </a> <button class="d-block d-lg-none navbar-toggler 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id="custom-search-input"> <div class="input-group"> <i class="fas fa-search"></i> <input type="text" class="search-query" name="q" placeholder="Author, Title, Abstract, Keywords" value="holomorphic"> <input type="submit" class="btn_search" value="Search"> </div> </div> </form> </div> </div> <div class="row mt-3"> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Commenced</strong> in January 2007</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Frequency:</strong> Monthly</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Edition:</strong> International</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Paper Count:</strong> 3</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: holomorphic</h1> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3</span> Holomorphic Prioritization of Sets within Decagram of Strategic Decision Making of POSM Using Operational Research (OR): Analytic Hierarchy Process (AHP) Analysis</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Elias%20Ogutu%20Azariah%20Tembe">Elias Ogutu Azariah Tembe</a>, <a href="https://publications.waset.org/abstracts/search?q=Hussain%20Abdullah%20Habib%20Al-Salamin"> Hussain Abdullah Habib Al-Salamin </a> </p> <p class="card-text"><strong>Abstract:</strong></p> There is decagram of strategic decisions of operations and production/service management (POSM) within operational research (OR) which must collate, namely: design, inventory, quality, location, process and capacity, layout, scheduling, maintain ace, and supply chain. This paper presents an architectural configuration conceptual framework of a decagram of sets decisions in a form of mathematical complete graph and abelian graph. Mathematically, a complete graph is undirected (UDG), and directed (DG) a relationship where every pair of vertices are connected, collated, confluent, and holomorphic. There has not been any study conducted which, however, prioritizes the holomorphic sets which of POMS within OR field of study. The study utilizes OR structured technique known as The Analytic Hierarchy Process (AHP) analysis for organizing, sorting and prioritizing (ranking) the sets within the decagram of POMS according to their attribution (propensity), and provides an analysis how the prioritization has real-world application within the 21st century. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=holomorphic" title="holomorphic">holomorphic</a>, <a href="https://publications.waset.org/abstracts/search?q=decagram" title=" decagram"> decagram</a>, <a href="https://publications.waset.org/abstracts/search?q=decagon" title=" decagon"> decagon</a>, <a href="https://publications.waset.org/abstracts/search?q=confluent" title=" confluent"> confluent</a>, <a href="https://publications.waset.org/abstracts/search?q=complete%20graph" title=" complete graph"> complete graph</a>, <a href="https://publications.waset.org/abstracts/search?q=AHP%20analysis" title=" AHP analysis"> AHP analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=SCM" title=" SCM"> SCM</a>, <a href="https://publications.waset.org/abstracts/search?q=HRM" title=" HRM"> HRM</a>, <a href="https://publications.waset.org/abstracts/search?q=OR" title=" OR"> OR</a>, <a href="https://publications.waset.org/abstracts/search?q=OM" title=" OM"> OM</a>, <a href="https://publications.waset.org/abstracts/search?q=abelian%20graph" title=" abelian graph"> abelian graph</a> </p> <a href="https://publications.waset.org/abstracts/15177/holomorphic-prioritization-of-sets-within-decagram-of-strategic-decision-making-of-posm-using-operational-research-or-analytic-hierarchy-process-ahp-analysis" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/15177.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">402</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2</span> Bound State Problems and Functional Differential Geometry</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=S.%20Srednyak">S. Srednyak</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We study a class of functional partial differential equations(FPDEs). This class is suggested by Quantum Field Theory. We derive general properties of solutions to such equations. In particular, we demonstrate that they lead to systems of coupled integral equations with singular kernels. We show that solutions to such hierarchies can be sought among functions with regular singularities at a countable set of subvarieties of the physical space. We also develop a formal analogy of basic constructions of differential geometry on functional manifolds, as this is necessary for in depth study of FPDEs. We also consider the case of linear overdetermined systems of functional differential equations and show that it can be completely solved in terms of formal solutions of a functional equation that is a functional analogy of a system of determined algebraic equations. This development leads us to formally define the functional analogy of algebraic geometry, which we call functional algebraic geometry. We study basic properties of functional algebraic varieties. In particular, we investigate the case of a formally discrete set of solutions. We also define and study functional analogy of discriminants. In the case of fully determined systems such that the defining functionals have regular singularities, we demonstrate that formal solutions can be sought in the class of functions with regular singularities. This case provides a practical way to apply our results to physics problems. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=functional%20equations" title="functional equations">functional equations</a>, <a href="https://publications.waset.org/abstracts/search?q=quantum%20field%20theory" title=" quantum field theory"> quantum field theory</a>, <a href="https://publications.waset.org/abstracts/search?q=holomorphic%20functions" title=" holomorphic functions"> holomorphic functions</a>, <a href="https://publications.waset.org/abstracts/search?q=Yang%20Mills%20mass%20gap%20problem" title=" Yang Mills mass gap problem"> Yang Mills mass gap problem</a>, <a href="https://publications.waset.org/abstracts/search?q=quantum%20chaos" title=" quantum chaos"> quantum chaos</a> </p> <a href="https://publications.waset.org/abstracts/173716/bound-state-problems-and-functional-differential-geometry" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/173716.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">70</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1</span> Introduction of Para-Sasaki-Like Riemannian Manifolds and Construction of New Einstein Metrics</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mancho%20Manev">Mancho Manev</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The concept of almost paracontact Riemannian manifolds (abbr., apcR manifolds) was introduced by I. Sato in 1976 as an analogue of almost contact Riemannian manifolds. The notion of an apcR manifold of type (p,q) was defined by S. Sasaki in 1980, where p and q are respectively the numbers of the multiplicity of the structure eigenvalues 1 and -1. It also has a simple eigenvalue of 0. In our work, we consider (2n+1)-dimensional apcR manifolds of type (n,n), i.e., the paracontact distribution of the studied manifold can be considered as a 2n-dimensional almost paracomplex Riemannian distribution with almost paracomplex structure and structure group O(n) × O(n). The aim of the present study is to introduce a new class of apcR manifolds. Such a manifold is obtained using the construction of a certain Riemannian cone over it, and the resulting manifold is a paraholomorphic paracomplex Riemannian manifold (abbr., phpcR manifold). We call it a para-Sasaki-like Riemannian manifold (abbr., pSlR manifold) and give some explicit examples. We study the structure of pSlR spaces and find that the paracontact form η is closed and each pSlR manifold locally can be considered as a certain product of the real line with a phpcR manifold, which is locally a Riemannian product of two equidimensional Riemannian spaces. We also obtain that the curvature of the pSlR manifolds is completely determined by the curvature of the underlying local phpcR manifold. Moreover, the ξ-directed Ricci curvature is equal to -2n, while in the Sasaki case, it is 2n. Accordingly, the pSlR manifolds can be interpreted as the counterpart of the Sasaki manifolds; the skew-symmetric part of ∇η vanishes, while in the Sasaki case, the symmetric part vanishes. We define a hyperbolic extension of a (complete) phpcR manifold that resembles a certain warped product, and we indicate that it is a (complete) pSlR manifold. In addition, we consider the hyperbolic extension of a phpcR manifold and prove that if the initial manifold is a complete Einstein manifold with negative scalar curvature, then the resulting manifold is a complete Einstein pSlR manifold with negative scalar curvature. In this way, we produce new examples of a complete Einstein Riemannian manifold with negative scalar curvature. Finally, we define and study para contact conformal/homothetic deformations by deriving a subclass that preserves the para-Sasaki-like condition. We then find that if we apply a paracontact homothetic deformation of a pSlR space, we obtain that the Ricci tensor is invariant. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=almost%20paracontact%20Riemannian%20manifolds" title="almost paracontact Riemannian manifolds">almost paracontact Riemannian manifolds</a>, <a href="https://publications.waset.org/abstracts/search?q=Einstein%20manifolds" title=" Einstein manifolds"> Einstein manifolds</a>, <a href="https://publications.waset.org/abstracts/search?q=holomorphic%20product%20manifold" title=" holomorphic product manifold"> holomorphic product manifold</a>, <a href="https://publications.waset.org/abstracts/search?q=warped%20product%20manifold" title=" warped product manifold"> warped product manifold</a> </p> <a href="https://publications.waset.org/abstracts/138178/introduction-of-para-sasaki-like-riemannian-manifolds-and-construction-of-new-einstein-metrics" class="btn 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Search results for: holomorphic