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differentiable operator</title> <meta name="description" content="Search results for: differentiable operator"> <meta name="keywords" content="differentiable operator"> <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 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action="https://publications.waset.org/abstracts/search"> <div 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="differentiable operator"> <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> 424</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: differentiable operator</h1> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">424</span> A General Approach to Define Adjoint of Linear and Non-linear Operators</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mehdi%20Jafari%20Matehkolaee">Mehdi Jafari Matehkolaee</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we have obtained the adjoint of an arbitrary operator (linear and nonlinear) in Hilbert space by introducing an n-dimensional Riemannian manifold. This general formalism covers every linear operator (non – differential) in Hilbert space. In fact, our approach shows that instead of using the adjoint definition of an operator directly, it can be obtained directly by relying on a suitable generalized space according to the action of the operator in question. For the case of nonlinear operators, we have to change the definition of the linear operator adjoint. But here, we have obtained an adjoint of these operators with respect to the definition of the derivative of the operator. As a matter of fact, we have shown one of the straight applications of the ''Frechet derivative'' in the algebra of the operators. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=adjoint%20operator" title="adjoint operator">adjoint operator</a>, <a href="https://publications.waset.org/abstracts/search?q=non-linear%20operator" title=" non-linear operator"> non-linear operator</a>, <a href="https://publications.waset.org/abstracts/search?q=differentiable%20operator" title=" differentiable operator"> differentiable operator</a>, <a href="https://publications.waset.org/abstracts/search?q=manifold" title=" manifold"> manifold</a> </p> <a href="https://publications.waset.org/abstracts/166456/a-general-approach-to-define-adjoint-of-linear-and-non-linear-operators" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/166456.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">119</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">423</span> Generalization of Tsallis Entropy from a Q-Deformed Arithmetic</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=J.%20Juan%20Pe%C3%B1a">J. Juan Peña</a>, <a href="https://publications.waset.org/abstracts/search?q=J.%20Morales"> J. Morales</a>, <a href="https://publications.waset.org/abstracts/search?q=J.%20Garc%C3%ADa-Ravelo"> J. García-Ravelo</a>, <a href="https://publications.waset.org/abstracts/search?q=J.%20Garc%C3%ADa-Mart%C3%ADnez"> J. García-Martínez</a> </p> <p class="card-text"><strong>Abstract:</strong></p> It is known that by introducing alternative forms of exponential and logarithmic functions, the Tsallis entropy Sᵩ is itself a generalization of Shannon entropy S. In this work, from a deformation through a scaling function applied to the differential operator, it is possible to generate a q-deformed calculus as well as a q-deformed arithmetic, which not only allows generalizing the exponential and logarithmic functions but also any other standard function. The updated q-deformed differential operator leads to an updated integral operator under which the functions are integrated together with a weight function. For each differentiable function, it is possible to identify its q-deformed partner, which is useful to generalize other algebraic relations proper of the original functions. As an application of this proposal, in this work, a generalization of exponential and logarithmic functions is studied in such a way that their relationship with the thermodynamic functions, particularly the entropy, allows us to have a q-deformed expression of these. As a result, from a particular scaling function applied to the differential operator, a q-deformed arithmetic is obtained, leading to the generalization of the Tsallis entropy. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=q-calculus" title="q-calculus">q-calculus</a>, <a href="https://publications.waset.org/abstracts/search?q=q-deformed%20arithmetic" title=" q-deformed arithmetic"> q-deformed arithmetic</a>, <a href="https://publications.waset.org/abstracts/search?q=entropy" title=" entropy"> entropy</a>, <a href="https://publications.waset.org/abstracts/search?q=exponential%20functions" title=" exponential functions"> exponential functions</a>, <a href="https://publications.waset.org/abstracts/search?q=thermodynamic%20functions" title=" thermodynamic functions"> thermodynamic functions</a> </p> <a href="https://publications.waset.org/abstracts/181635/generalization-of-tsallis-entropy-from-a-q-deformed-arithmetic" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/181635.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">78</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">422</span> Non-Differentiable Mond-Weir Type Symmetric Duality under Generalized Invexity</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Jai%20Prakash%20Verma">Jai Prakash Verma</a>, <a href="https://publications.waset.org/abstracts/search?q=Khushboo%20Verma"> Khushboo Verma</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In the present paper, a pair of Mond-Weir type non-differentiable multiobjective second-order programming problems, involving two kernel functions, where each of the objective functions contains support function, is formulated. We prove weak, strong and converse duality theorem for the second-order symmetric dual programs under η-pseudoinvexity conditions. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=non-differentiable%20multiobjective%20programming" title="non-differentiable multiobjective programming">non-differentiable multiobjective programming</a>, <a href="https://publications.waset.org/abstracts/search?q=second-order%20symmetric%20duality" title=" second-order symmetric duality"> second-order symmetric duality</a>, <a href="https://publications.waset.org/abstracts/search?q=efficiency" title=" efficiency"> efficiency</a>, <a href="https://publications.waset.org/abstracts/search?q=support%20function" title=" support function"> support function</a>, <a href="https://publications.waset.org/abstracts/search?q=eta-pseudoinvexity" title=" eta-pseudoinvexity"> eta-pseudoinvexity</a> </p> <a href="https://publications.waset.org/abstracts/57852/non-differentiable-mond-weir-type-symmetric-duality-under-generalized-invexity" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/57852.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">249</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">421</span> Operator Efficiency Study for Assembly Line Optimization at Semiconductor Assembly and Test</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Rohana%20Abdullah">Rohana Abdullah</a>, <a href="https://publications.waset.org/abstracts/search?q=Md%20Nizam%20Abd%20Rahman"> Md Nizam Abd Rahman</a>, <a href="https://publications.waset.org/abstracts/search?q=Seri%20Rahayu%20Kamat"> Seri Rahayu Kamat</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Operator efficiency aspect is gaining importance in ensuring optimized usage of resources especially in the semi-automated manufacturing environment. This paper addresses a case study done to solve operator efficiency and line balancing issue at a semiconductor assembly and test manufacturing. A Man-to-Machine (M2M) work study technique is used to study operator current utilization and determine the optimum allocation of the operators to the machines. Critical factors such as operator activity, activity frequency and operator competency level are considered to gain insight on the parameters that affects the operator utilization. Equipment standard time and overall equipment efficiency (OEE) information are also gathered and analyzed to achieve a balanced and optimized production. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=operator%20efficiency" title="operator efficiency">operator efficiency</a>, <a href="https://publications.waset.org/abstracts/search?q=optimized%20production" title=" optimized production"> optimized production</a>, <a href="https://publications.waset.org/abstracts/search?q=line%20balancing" title=" line balancing"> line balancing</a>, <a href="https://publications.waset.org/abstracts/search?q=industrial%20and%20manufacturing%20engineering" title=" industrial and manufacturing engineering"> industrial and manufacturing engineering</a> </p> <a href="https://publications.waset.org/abstracts/20930/operator-efficiency-study-for-assembly-line-optimization-at-semiconductor-assembly-and-test" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/20930.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">729</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">420</span> The Hyperbolic Smoothing Approach for Automatic Calibration of Rainfall-Runoff Models </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Adilson%20Elias%20Xavier">Adilson Elias Xavier</a>, <a href="https://publications.waset.org/abstracts/search?q=Otto%20Corr%C3%AAa%20Rotunno%20Filho"> Otto Corrêa Rotunno Filho</a>, <a href="https://publications.waset.org/abstracts/search?q=Paulo%20Canedo%20De%20Magalh%C3%A3es"> Paulo Canedo De Magalhães</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper addresses the issue of automatic parameter estimation in conceptual rainfall-runoff (CRR) models. Due to threshold structures commonly occurring in CRR models, the associated mathematical optimization problems have the significant characteristic of being strongly non-differentiable. In order to face this enormous task, the resolution method proposed adopts a smoothing strategy using a special C∞ differentiable class function. The final estimation solution is obtained by solving a sequence of differentiable subproblems which gradually approach the original conceptual problem. The use of this technique, called Hyperbolic Smoothing Method (HSM), makes possible the application of the most powerful minimization algorithms, and also allows for the main difficulties presented by the original CRR problem to be overcome. A set of computational experiments is presented for the purpose of illustrating both the reliability and the efficiency of the proposed approach. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=rainfall-runoff%20models" title="rainfall-runoff models">rainfall-runoff models</a>, <a href="https://publications.waset.org/abstracts/search?q=automatic%20calibration" title=" automatic calibration"> automatic calibration</a>, <a href="https://publications.waset.org/abstracts/search?q=hyperbolic%20smoothing%20method" title=" hyperbolic smoothing method"> hyperbolic smoothing method</a> </p> <a href="https://publications.waset.org/abstracts/123935/the-hyperbolic-smoothing-approach-for-automatic-calibration-of-rainfall-runoff-models" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/123935.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">149</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">419</span> Heinz-Type Inequalities in Hilbert Spaces</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Jin%20Liang">Jin Liang</a>, <a href="https://publications.waset.org/abstracts/search?q=Guanghua%20Shi"> Guanghua Shi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we are concerned with the further refinements of the Heinz operator inequalities in Hilbert spaces. Our purpose is to derive several new Heinz-type operator inequalities. First, with the help of the Taylor series of some hyperbolic functions, we obtain some refinements of the ordering relations among Heinz means defined by Bhatia with different parameters, which would be more suitable in obtaining the corresponding operator inequalities. Second, we present some generalizations of Heinz operator inequalities. Finally, we give a matrix version of the Heinz inequality for the Hilbert-Schmidt norm. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Hilbert%20space" title="Hilbert space">Hilbert space</a>, <a href="https://publications.waset.org/abstracts/search?q=means%20inequality" title=" means inequality"> means inequality</a>, <a href="https://publications.waset.org/abstracts/search?q=norm%20inequality" title=" norm inequality"> norm inequality</a>, <a href="https://publications.waset.org/abstracts/search?q=positive%20linear%20operator" title=" positive linear operator"> positive linear operator</a> </p> <a href="https://publications.waset.org/abstracts/54127/heinz-type-inequalities-in-hilbert-spaces" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/54127.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">270</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">418</span> Study of Effect of Steering Column Orientation and Operator Platform Position on the Hand Vibration in Compactors</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Sunil%20Bandaru">Sunil Bandaru</a>, <a href="https://publications.waset.org/abstracts/search?q=Suresh%20Yv"> Suresh Yv</a>, <a href="https://publications.waset.org/abstracts/search?q=Srinivas%20Vanapalli"> Srinivas Vanapalli</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Heavy machinery especially compactors has more vibrations induced from the compactor mechanism than the engines. Since the operator’s comfort is most important in any of the machines, this paper shows interest in studying the vibrations on the steering wheel for a double drum compactor. As there are no standard procedures available for testing vibrations on the steering wheel of double drum compactors, this paper tries to evaluate the vibrations on the steering wheel by considering most of the possibilities. In addition to the feasibility for the operator to adjust the steering wheel tilt as in the case of automotive, there is an option for the operator to change the orientation of the operator platform for the complete view of the road’s edge on both the ends of the front and rear drums. When the orientation is either +/-180°, the operator will be closer to the compactor mechanism; also there is a possibility for the shuffle in the modes with respect to the operator. Hence it is mandatory to evaluate the vibrations levels in both cases. This paper attempts to evaluate the vibrations on the steering wheel by considering the two operator platform positions and three steering wheel tilting angles. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=FEA" title="FEA">FEA</a>, <a href="https://publications.waset.org/abstracts/search?q=CAE" title=" CAE"> CAE</a>, <a href="https://publications.waset.org/abstracts/search?q=steering%20column" title=" steering column"> steering column</a>, <a href="https://publications.waset.org/abstracts/search?q=steering%20column%20orientation%20position" title=" steering column orientation position"> steering column orientation position</a> </p> <a href="https://publications.waset.org/abstracts/139895/study-of-effect-of-steering-column-orientation-and-operator-platform-position-on-the-hand-vibration-in-compactors" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/139895.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">225</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">417</span> Anisotropic Approach for Discontinuity Preserving in Optical Flow Estimation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Pushpendra%20Kumar">Pushpendra Kumar</a>, <a href="https://publications.waset.org/abstracts/search?q=Sanjeev%20Kumar"> Sanjeev Kumar</a>, <a href="https://publications.waset.org/abstracts/search?q=R.%20Balasubramanian"> R. Balasubramanian</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Estimation of optical flow from a sequence of images using variational methods is one of the most successful approach. Discontinuity between different motions is one of the challenging problem in flow estimation. In this paper, we design a new anisotropic diffusion operator, which is able to provide smooth flow over a region and efficiently preserve discontinuity in optical flow. This operator is designed on the basis of intensity differences of the pixels and isotropic operator using exponential function. The combination of these are used to control the propagation of flow. Experimental results on the different datasets verify the robustness and accuracy of the algorithm and also validate the effect of anisotropic operator in the discontinuity preserving. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=optical%20flow" title="optical flow">optical flow</a>, <a href="https://publications.waset.org/abstracts/search?q=variational%20methods" title=" variational methods"> variational methods</a>, <a href="https://publications.waset.org/abstracts/search?q=computer%20vision" title=" computer vision"> computer vision</a>, <a href="https://publications.waset.org/abstracts/search?q=anisotropic%20operator" title=" anisotropic operator"> anisotropic operator</a> </p> <a href="https://publications.waset.org/abstracts/20827/anisotropic-approach-for-discontinuity-preserving-in-optical-flow-estimation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/20827.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">873</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">416</span> Modified Fractional Curl Operator</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Rawhy%20Ismail">Rawhy Ismail </a> </p> <p class="card-text"><strong>Abstract:</strong></p> Applying fractional calculus in the field of electromagnetics shows significant results. The fractionalization of the conventional curl operator leads to having additional solutions to an electromagnetic problem. This work restudies the concept of the fractional curl operator considering fractional time derivatives in Maxwell’s curl equations. In that sense, a general scheme for the wave loss term is introduced and the degree of freedom of the system is affected through imposing the new fractional parameters. The conventional case is recovered by setting all fractional derivatives to unity. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=curl%20operator" title="curl operator">curl operator</a>, <a href="https://publications.waset.org/abstracts/search?q=fractional%20calculus" title=" fractional calculus"> fractional calculus</a>, <a href="https://publications.waset.org/abstracts/search?q=fractional%20curl%20operators" title=" fractional curl operators"> fractional curl operators</a>, <a href="https://publications.waset.org/abstracts/search?q=Maxwell%20equations" title=" Maxwell equations"> Maxwell equations</a> </p> <a href="https://publications.waset.org/abstracts/35772/modified-fractional-curl-operator" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/35772.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">487</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">415</span> Powers of Class p-w A (s, t) Operators Associated with Generalized Aluthge Transformations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mohammed%20Husein%20Mohammed%20Rashid">Mohammed Husein Mohammed Rashid</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Let Τ = U |Τ| be a polar decomposition of a bounded linear operator T on a complex Hilbert space with ker U = ker |T|. T is said to be class p-w A(s,t) if (|T*|ᵗ|T|²ˢ|T*|ᵗ )ᵗᵖ/ˢ⁺ᵗ ≥|T*|²ᵗᵖ and |T|²ˢᵖ ≥ (|T|ˢ|T*|²ᵗ|T|ˢ)ˢᵖ/ˢ⁺ᵗ with 0<p≤1 and 0<s,t,s + t≤1. This is a generalization of p-hyponormal or class A operators. In this paper, we shall show that if T belongs to class p-w A (s, t) operator for 0<s,t≤1 and 0<p≤1, then Tⁿ belongs to class p₁-w A (s/n, t/n) for 0<p₁≤p and for all positive integer n. As an immediate corollary of this result, we shall also show that if T is a p-w-hyponormal operator, then Tⁿ is also p₁-w-hyponormal for 0<p₁≤p and for all positive integer n. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=class%20p-w%20A%20%28s" title="class p-w A (s">class p-w A (s</a>, <a href="https://publications.waset.org/abstracts/search?q=t%29" title=" t)"> t)</a>, <a href="https://publications.waset.org/abstracts/search?q=normaloid" title=" normaloid"> normaloid</a>, <a href="https://publications.waset.org/abstracts/search?q=isoloid" title=" isoloid"> isoloid</a>, <a href="https://publications.waset.org/abstracts/search?q=finite" title=" finite"> finite</a>, <a href="https://publications.waset.org/abstracts/search?q=orthogonality" title=" orthogonality"> orthogonality</a> </p> <a href="https://publications.waset.org/abstracts/158688/powers-of-class-p-w-a-s-t-operators-associated-with-generalized-aluthge-transformations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/158688.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">117</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">414</span> Extension of Positive Linear Operator</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Manal%20Azzidani">Manal Azzidani</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This research consideres the extension of special functions called Positive Linear Operators. the bounded linear operator which defined from normed space to Banach space will extend to the closure of the its domain, And extend identified linear functional on a vector subspace by Hana-Banach theorem which could be generalized to the positive linear operators. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=extension" title="extension">extension</a>, <a href="https://publications.waset.org/abstracts/search?q=positive%20operator" title=" positive operator"> positive operator</a>, <a href="https://publications.waset.org/abstracts/search?q=Riesz%20space" title=" Riesz space"> Riesz space</a>, <a href="https://publications.waset.org/abstracts/search?q=sublinear%20function" title=" sublinear function"> sublinear function</a> </p> <a href="https://publications.waset.org/abstracts/33220/extension-of-positive-linear-operator" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/33220.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">517</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">413</span> Approximation to the Hardy Operator on Topological Measure Spaces</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Kairat%20T.%20Mynbaev">Kairat T. Mynbaev</a>, <a href="https://publications.waset.org/abstracts/search?q=Elena%20N.%20Lomakina"> Elena N. Lomakina</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We consider a Hardy-type operator generated by a family of open subsets of a Hausdorff topological space. The family is indexed with non-negative real numbers and is totally ordered. For this operator, we obtain two-sided bounds of its norm, a compactness criterion, and bounds for its approximation numbers. Previously, bounds for its approximation numbers have been established only in the one-dimensional case, while we do not impose any restrictions on the dimension of the Hausdorff space. The bounds for the norm and conditions for compactness earlier have been found using different methods by G. Sinnamon and K. Mynbaev. Our approach is different in that we use domain partitions for all problems under consideration. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=approximation%20numbers" title="approximation numbers">approximation numbers</a>, <a href="https://publications.waset.org/abstracts/search?q=boundedness%20and%20compactness" title=" boundedness and compactness"> boundedness and compactness</a>, <a href="https://publications.waset.org/abstracts/search?q=multidimensional%20Hardy%20operator" title=" multidimensional Hardy operator"> multidimensional Hardy operator</a>, <a href="https://publications.waset.org/abstracts/search?q=Hausdorff%20topological%20space" title=" Hausdorff topological space"> Hausdorff topological space</a> </p> <a href="https://publications.waset.org/abstracts/170957/approximation-to-the-hardy-operator-on-topological-measure-spaces" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/170957.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">104</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">412</span> Quantum Algebra from Generalized Q-Algebra</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Muna%20Tabuni">Muna Tabuni</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The paper contains an investigation of the notion of Q algebras. A brief introduction to quantum mechanics is given, in that systems the state defined by a vector in a complex vector space H which have Hermitian inner product property. H may be finite or infinite-dimensional. In quantum mechanics, operators must be hermitian. These facts are saved by Lie algebra operators but not by those of quantum algebras. A Hilbert space H consists of a set of vectors and a set of scalars. Lie group is a differentiable topological space with group laws given by differentiable maps. A Lie algebra has been introduced. Q-algebra has been defined. A brief introduction to BCI-algebra is given. A BCI sub algebra is introduced. A brief introduction to BCK=BCH-algebra is given. Every BCI-algebra is a BCH-algebra. Homomorphism maps meanings are introduced. Homomorphism maps between two BCK algebras are defined. The mathematical formulations of quantum mechanics can be expressed using the theory of unitary group representations. A generalization of Q algebras has been introduced, and their properties have been considered. The Q- quantum algebra has been studied, and various examples have been given. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Q-algebras" title="Q-algebras">Q-algebras</a>, <a href="https://publications.waset.org/abstracts/search?q=BCI" title=" BCI"> BCI</a>, <a href="https://publications.waset.org/abstracts/search?q=BCK" title=" BCK"> BCK</a>, <a href="https://publications.waset.org/abstracts/search?q=BCH-algebra" title=" BCH-algebra"> BCH-algebra</a>, <a href="https://publications.waset.org/abstracts/search?q=quantum%20mechanics" title=" quantum mechanics"> quantum mechanics</a> </p> <a href="https://publications.waset.org/abstracts/138379/quantum-algebra-from-generalized-q-algebra" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/138379.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">199</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">411</span> Bivariate Generalization of q-α-Bernstein Polynomials</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Tarul%20Garg">Tarul Garg</a>, <a href="https://publications.waset.org/abstracts/search?q=P.%20N.%20Agrawal"> P. N. Agrawal</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We propose to define the q-analogue of the α-Bernstein Kantorovich operators and then introduce the q-bivariate generalization of these operators to study the approximation of functions of two variables. We obtain the rate of convergence of these bivariate operators by means of the total modulus of continuity, partial modulus of continuity and the Peetre’s K-functional for continuous functions. Further, in order to study the approximation of functions of two variables in a space bigger than the space of continuous functions, i.e. Bögel space; the GBS (Generalized Boolean Sum) of the q-bivariate operators is considered and degree of approximation is discussed for the Bögel continuous and Bögel differentiable functions with the aid of the Lipschitz class and the mixed modulus of smoothness. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=B%C3%B6gel%20continuous" title="Bögel continuous">Bögel continuous</a>, <a href="https://publications.waset.org/abstracts/search?q=B%C3%B6gel%20differentiable" title=" Bögel differentiable"> Bögel differentiable</a>, <a href="https://publications.waset.org/abstracts/search?q=generalized%20Boolean%20sum" title=" generalized Boolean sum"> generalized Boolean sum</a>, <a href="https://publications.waset.org/abstracts/search?q=K-functional" title=" K-functional"> K-functional</a>, <a href="https://publications.waset.org/abstracts/search?q=mixed%20modulus%20of%20smoothness" title=" mixed modulus of smoothness"> mixed modulus of smoothness</a> </p> <a href="https://publications.waset.org/abstracts/79181/bivariate-generalization-of-q-a-bernstein-polynomials" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/79181.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">379</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">410</span> Possibilistic Aggregations in the Investment Decision Making</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=I.%20Khutsishvili">I. Khutsishvili</a>, <a href="https://publications.waset.org/abstracts/search?q=G.%20Sirbiladze"> G. Sirbiladze</a>, <a href="https://publications.waset.org/abstracts/search?q=B.%20Ghvaberidze"> B. Ghvaberidze</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This work proposes a fuzzy methodology to support the investment decisions. While choosing among competitive investment projects, the methodology makes ranking of projects using the new aggregation OWA operator – AsPOWA, presented in the environment of possibility uncertainty. For numerical evaluation of the weighting vector associated with the AsPOWA operator the mathematical programming problem is constructed. On the basis of the AsPOWA operator the projects’ group ranking maximum criteria is constructed. The methodology also allows making the most profitable investments into several of the project using the method developed by the authors for discrete possibilistic bicriteria problems. The article provides an example of the investment decision-making that explains the work of the proposed methodology. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=expert%20evaluations" title="expert evaluations">expert evaluations</a>, <a href="https://publications.waset.org/abstracts/search?q=investment%20decision%20making" title=" investment decision making"> investment decision making</a>, <a href="https://publications.waset.org/abstracts/search?q=OWA%20operator" title=" OWA operator"> OWA operator</a>, <a href="https://publications.waset.org/abstracts/search?q=possibility%20uncertainty" title=" possibility uncertainty"> possibility uncertainty</a> </p> <a href="https://publications.waset.org/abstracts/9558/possibilistic-aggregations-in-the-investment-decision-making" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/9558.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">558</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">409</span> A New Aggregation Operator for Trapezoidal Fuzzy Numbers Based On the Geometric Means of the Left and Right Line Slopes </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Manju%20Pandey">Manju Pandey</a>, <a href="https://publications.waset.org/abstracts/search?q=Nilay%20Khare"> Nilay Khare</a>, <a href="https://publications.waset.org/abstracts/search?q=S.%20C.%20Shrivastava"> S. C. Shrivastava</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper is the final in a series, which has defined two new classes of aggregation operators for triangular and trapezoidal fuzzy numbers based on the geometrical characteristics of their fuzzy membership functions. In the present paper, a new aggregation operator for trapezoidal fuzzy numbers has been defined. The new operator is based on the geometric mean of the membership lines to the left and right of the maximum possibility interval. The operator is defined and the analytical relationships have been derived. Computation of the aggregate is demonstrated with a numerical example. Corresponding arithmetic and geometric aggregates as well as results from the recent work of the authors on TrFN aggregates have also been computed. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=LR%20fuzzy%20number" title="LR fuzzy number">LR fuzzy number</a>, <a href="https://publications.waset.org/abstracts/search?q=interval%20fuzzy%20number" title=" interval fuzzy number"> interval fuzzy number</a>, <a href="https://publications.waset.org/abstracts/search?q=triangular%20fuzzy%20number" title=" triangular fuzzy number"> triangular fuzzy number</a>, <a href="https://publications.waset.org/abstracts/search?q=trapezoidal%20fuzzy%20number" title=" trapezoidal fuzzy number"> trapezoidal fuzzy number</a>, <a href="https://publications.waset.org/abstracts/search?q=apex%20angle" title=" apex angle"> apex angle</a>, <a href="https://publications.waset.org/abstracts/search?q=left%20apex%20angle" title=" left apex angle"> left apex angle</a>, <a href="https://publications.waset.org/abstracts/search?q=right%20apex%20angle" title=" right apex angle"> right apex angle</a>, <a href="https://publications.waset.org/abstracts/search?q=aggregation%20operator" title=" aggregation operator"> aggregation operator</a>, <a href="https://publications.waset.org/abstracts/search?q=arithmetic%20and%20geometric%20mean" title=" arithmetic and geometric mean"> arithmetic and geometric mean</a> </p> <a href="https://publications.waset.org/abstracts/18890/a-new-aggregation-operator-for-trapezoidal-fuzzy-numbers-based-on-the-geometric-means-of-the-left-and-right-line-slopes" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/18890.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">472</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">408</span> An Improved Many Worlds Quantum Genetic Algorithm</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Li%20Dan">Li Dan</a>, <a href="https://publications.waset.org/abstracts/search?q=Zhao%20Junsuo"> Zhao Junsuo</a>, <a href="https://publications.waset.org/abstracts/search?q=Zhang%20Wenjun"> Zhang Wenjun </a> </p> <p class="card-text"><strong>Abstract:</strong></p> Aiming at the shortcomings of the Quantum Genetic Algorithm such as the multimodal function optimization problems easily falling into the local optimum, and vulnerable to premature convergence due to no closely relationship between individuals, the paper presents an Improved Many Worlds Quantum Genetic Algorithm (IMWQGA). The paper using the concept of Many Worlds; using the derivative way of parallel worlds’ parallel evolution; putting forward the thought which updating the population according to the main body; adopting the transition methods such as parallel transition, backtracking, travel forth. In addition, the algorithm in the paper also proposes the quantum training operator and the combinatorial optimization operator as new operators of quantum genetic algorithm. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=quantum%20genetic%20algorithm" title="quantum genetic algorithm">quantum genetic algorithm</a>, <a href="https://publications.waset.org/abstracts/search?q=many%20worlds" title=" many worlds"> many worlds</a>, <a href="https://publications.waset.org/abstracts/search?q=quantum%20training%20operator" title=" quantum training operator"> quantum training operator</a>, <a href="https://publications.waset.org/abstracts/search?q=combinatorial%20optimization%20operator" title=" combinatorial optimization operator"> combinatorial optimization operator</a> </p> <a href="https://publications.waset.org/abstracts/16842/an-improved-many-worlds-quantum-genetic-algorithm" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/16842.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">743</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">407</span> Nonlinear Equations with n-Dimensional Telegraph Operator Iterated K-Times</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Jessada%20Tariboon">Jessada Tariboon</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this article, using distribution kernel, we study the nonlinear equations with n-dimensional telegraph operator iterated k-times. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=telegraph%20operator" title="telegraph operator">telegraph operator</a>, <a href="https://publications.waset.org/abstracts/search?q=elementary%20solution" title=" elementary solution"> elementary solution</a>, <a href="https://publications.waset.org/abstracts/search?q=distribution%20kernel" title=" distribution kernel"> distribution kernel</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlinear%20equations" title=" nonlinear equations"> nonlinear equations</a> </p> <a href="https://publications.waset.org/abstracts/5031/nonlinear-equations-with-n-dimensional-telegraph-operator-iterated-k-times" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/5031.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">489</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">406</span> Digital Control Algorithm Based on Delta-Operator for High-Frequency DC-DC Switching Converters</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Renkai%20Wang">Renkai Wang</a>, <a href="https://publications.waset.org/abstracts/search?q=Tingcun%20Wei"> Tingcun Wei</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, a digital control algorithm based on delta-operator is presented for high-frequency digitally-controlled DC-DC switching converters. The stability and the controlling accuracy of the DC-DC switching converters are improved by using the digital control algorithm based on delta-operator without increasing the hardware circuit scale. The design method of voltage compensator in delta-domain using PID (Proportion-Integration- Differentiation) control is given in this paper, and the simulation results based on Simulink platform are provided, which have verified the theoretical analysis results very well. It can be concluded that, the presented control algorithm based on delta-operator has better stability and controlling accuracy, and easier hardware implementation than the existed control algorithms based on z-operator, therefore it can be used for the voltage compensator design in high-frequency digitally- controlled DC-DC switching converters. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=digitally-controlled%20DC-DC%20switching%20converter" title="digitally-controlled DC-DC switching converter">digitally-controlled DC-DC switching converter</a>, <a href="https://publications.waset.org/abstracts/search?q=digital%20voltage%20compensator" title=" digital voltage compensator"> digital voltage compensator</a>, <a href="https://publications.waset.org/abstracts/search?q=delta-operator" title=" delta-operator"> delta-operator</a>, <a href="https://publications.waset.org/abstracts/search?q=finite%20word%20length" title=" finite word length"> finite word length</a>, <a href="https://publications.waset.org/abstracts/search?q=stability" title=" stability"> stability</a> </p> <a href="https://publications.waset.org/abstracts/50847/digital-control-algorithm-based-on-delta-operator-for-high-frequency-dc-dc-switching-converters" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/50847.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">412</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">405</span> Airy Wave Packet for a Particle in a Time-Dependant Linear Potential </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=M.%20Berrehail">M. Berrehail</a>, <a href="https://publications.waset.org/abstracts/search?q=F.%20Benamira"> F. Benamira</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We study the quantum motion of a particle in the presence of a time- dependent linear potential using an operator invariant that is quadratic in p and linear in q within the framework of the Lewis-Riesenfeld invariant, The special invariant operator proposed in this work is demonstrated to be an Hermitian operator which has an Airy wave packet as its Eigenfunction <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=airy%20wave%20packet" title="airy wave packet">airy wave packet</a>, <a href="https://publications.waset.org/abstracts/search?q=ivariant" title=" ivariant"> ivariant</a>, <a href="https://publications.waset.org/abstracts/search?q=time-dependent%20linear%20potential" title=" time-dependent linear potential"> time-dependent linear potential</a>, <a href="https://publications.waset.org/abstracts/search?q=unitary%20transformation" title=" unitary transformation"> unitary transformation</a> </p> <a href="https://publications.waset.org/abstracts/31077/airy-wave-packet-for-a-particle-in-a-time-dependant-linear-potential" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/31077.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">492</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">404</span> Fuglede-Putnam Theorem for ∗-Class A Operators</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mohammed%20Husein%20Mohammad%20Rashid">Mohammed Husein Mohammad Rashid</a> </p> <p class="card-text"><strong>Abstract:</strong></p> For a bounded linear operator T acting on a complex inﬁnite dimensional Hilbert space ℋ, we say that T is ∗-class A operator (abbreviation T∈A*) if |T²|≥ |T*|². In this article, we prove the following assertions:(i) we establish some conditions which imply the normality of ∗-class A; (ii) we consider ∗-class A operator T ∈ ℬ(ℋ) with reducing kernel such that TX = XS for some X ∈ ℬ(K, ℋ) and prove the Fuglede-Putnam type theorem when adjoint of S ∈ ℬ(K) is dominant operators; (iii) furthermore, we extend the asymmetric Putnam-Fuglede theorem the class of ∗-class A operators. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=fuglede-putnam%20theorem" title="fuglede-putnam theorem">fuglede-putnam theorem</a>, <a href="https://publications.waset.org/abstracts/search?q=normal%20operators" title=" normal operators"> normal operators</a>, <a href="https://publications.waset.org/abstracts/search?q=%E2%88%97-class%20a%20operators" title=" ∗-class a operators"> ∗-class a operators</a>, <a href="https://publications.waset.org/abstracts/search?q=dominant%20operators" title=" dominant operators"> dominant operators</a> </p> <a href="https://publications.waset.org/abstracts/159132/fuglede-putnam-theorem-for-class-a-operators" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/159132.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">88</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">403</span> Durrmeyer Type Modification of q-Generalized Bernstein Operators</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ruchi">Ruchi</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20M.%20Acu"> A. M. Acu</a>, <a href="https://publications.waset.org/abstracts/search?q=Purshottam%20N.%20Agrawal"> Purshottam N. Agrawal</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The purpose of this paper to introduce the Durrmeyer type modification of q-generalized-Bernstein operators which include the Bernstein polynomials in the particular α = 0. We investigate the rate of convergence by means of the Lipschitz class and the Peetre’s K-functional. Also, we define the bivariate case of Durrmeyer type modification of q-generalized-Bernstein operators and study the degree of approximation with the aid of the partial modulus of continuity and the Peetre’s K-functional. Finally, we introduce the GBS (Generalized Boolean Sum) of the Durrmeyer type modification of q- generalized-Bernstein operators and investigate the approximation of the Bögel continuous and Bögel differentiable functions with the aid of the Lipschitz class and the mixed modulus of smoothness. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=B%C3%B6gel%20continuous" title="Bögel continuous">Bögel continuous</a>, <a href="https://publications.waset.org/abstracts/search?q=B%C3%B6gel%20differentiable" title=" Bögel differentiable"> Bögel differentiable</a>, <a href="https://publications.waset.org/abstracts/search?q=generalized%20Boolean%20sum" title=" generalized Boolean sum"> generalized Boolean sum</a>, <a href="https://publications.waset.org/abstracts/search?q=Peetre%E2%80%99s%20K-functional" title=" Peetre’s K-functional"> Peetre’s K-functional</a>, <a href="https://publications.waset.org/abstracts/search?q=Lipschitz%20class" title=" Lipschitz class"> Lipschitz class</a>, <a href="https://publications.waset.org/abstracts/search?q=mixed%20modulus%20of%20smoothness" title=" mixed modulus of smoothness"> mixed modulus of smoothness</a> </p> <a href="https://publications.waset.org/abstracts/79175/durrmeyer-type-modification-of-q-generalized-bernstein-operators" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/79175.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">213</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">402</span> Behavioral Pattern of 2G Mobile Internet Subscribers: A Study on an Operator of Bangladesh</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Azfar%20Adib">Azfar Adib</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Like many other countries of the world, mobile internet has been playing a key role in the growth of internet subscriber base in Bangladesh. This study has attempted to identify particular behavioral or usage patterns of 2G mobile internet subscribers who were using the service of the topmost internet service provider (as well as the top mobile operator) of Bangladesh prior to the launching of 3G services (when 2G was fully dominant). It contains some comprehensive analysis carried on different info regarding 2G mobile internet subscribers, obtained from the operator’s own network insights.This is accompanied by the results of a survey conducted among 40 high-frequency users of this service. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=mobile%20internet" title="mobile internet">mobile internet</a>, <a href="https://publications.waset.org/abstracts/search?q=Symbian" title=" Symbian"> Symbian</a>, <a href="https://publications.waset.org/abstracts/search?q=Android" title=" Android"> Android</a>, <a href="https://publications.waset.org/abstracts/search?q=iPhone" title=" iPhone"> iPhone</a> </p> <a href="https://publications.waset.org/abstracts/66690/behavioral-pattern-of-2g-mobile-internet-subscribers-a-study-on-an-operator-of-bangladesh" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/66690.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">438</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">401</span> Integrating Human Preferences into the Automated Decisions of Unmanned Aerial Vehicles</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Arwa%20Khannoussi">Arwa Khannoussi</a>, <a href="https://publications.waset.org/abstracts/search?q=Alexandru-Liviu%20Olteanu"> Alexandru-Liviu Olteanu</a>, <a href="https://publications.waset.org/abstracts/search?q=Pritesh%20Narayan"> Pritesh Narayan</a>, <a href="https://publications.waset.org/abstracts/search?q=Catherine%20Dezan"> Catherine Dezan</a>, <a href="https://publications.waset.org/abstracts/search?q=Jean-Philippe%20Diguet"> Jean-Philippe Diguet</a>, <a href="https://publications.waset.org/abstracts/search?q=Patrick%20Meyer"> Patrick Meyer</a>, <a href="https://publications.waset.org/abstracts/search?q=Jacques%20Petit-Frere"> Jacques Petit-Frere</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Due to the nature of autonomous Unmanned Aerial Vehicles (UAV) missions, it is important that the decisions of a UAV stay consistent with the priorities of an operator, while at the same time allowing them to be easily audited and explained. We propose a multi-layer decision engine that integrates the operator (human) preferences by using the Multi-Criteria Decision Aiding (MCDA) methods. A software implementation of a UAV simulator and of the decision engine is presented to highlight the advantage of using such techniques on high-level decisions. We demonstrate that, with such a preference-based decision engine, the decisions of the UAV are compatible with the priorities of the operator, which in turn increases her/his confidence in its autonomous behavior. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=autonomous%20UAV" title="autonomous UAV">autonomous UAV</a>, <a href="https://publications.waset.org/abstracts/search?q=multi-criteria%20decision%20aiding" title=" multi-criteria decision aiding"> multi-criteria decision aiding</a>, <a href="https://publications.waset.org/abstracts/search?q=multi-layers%20decision%20engine" title=" multi-layers decision engine"> multi-layers decision engine</a>, <a href="https://publications.waset.org/abstracts/search?q=operator%27s%20preferences" title=" operator's preferences"> operator's preferences</a>, <a href="https://publications.waset.org/abstracts/search?q=traceable%20decisions" title=" traceable decisions"> traceable decisions</a>, <a href="https://publications.waset.org/abstracts/search?q=UAV%20simulation" title=" UAV simulation"> UAV simulation</a> </p> <a href="https://publications.waset.org/abstracts/98229/integrating-human-preferences-into-the-automated-decisions-of-unmanned-aerial-vehicles" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/98229.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">255</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">400</span> Modelling of the Linear Operator in the Representation of the Function of Wave of a Micro Particle</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mohammedi%20Ferhate">Mohammedi Ferhate</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper deals with the generalized the notion of the function of wave a micro particle moving free, the concept of the linear operator in the representation function delta of Dirac which is a generalization of the symbol of Kronecker to the case of a continuous variation of the sizes concerned with the condition of orthonormation of the Eigen functions the use of linear operators and their Eigen functions in connection with the solution of given differential equations, it is of interest to study the properties of the operators themselves and determine which of them follow purely from the nature of the operators, without reference to specific forms of Eigen functions. The models simulation examples are also presented. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=function" title="function">function</a>, <a href="https://publications.waset.org/abstracts/search?q=operator" title=" operator"> operator</a>, <a href="https://publications.waset.org/abstracts/search?q=simulation" title=" simulation"> simulation</a>, <a href="https://publications.waset.org/abstracts/search?q=wave" title=" wave"> wave</a> </p> <a href="https://publications.waset.org/abstracts/166115/modelling-of-the-linear-operator-in-the-representation-of-the-function-of-wave-of-a-micro-particle" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/166115.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">146</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">399</span> Theory of the Optimum Signal Approximation Clarifying the Importance in the Recognition of Parallel World and Application to Secure Signal Communication with Feedback</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Takuro%20Kida">Takuro Kida</a>, <a href="https://publications.waset.org/abstracts/search?q=Yuichi%20Kida"> Yuichi Kida</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, it is shown a base of the new trend of algorithm mathematically that treats a historical reason of continuous discrimination in the world as well as its solution by introducing new concepts of parallel world that includes an invisible set of errors as its companion. With respect to a matrix operator-filter bank that the matrix operator-analysis-filter bank H and the matrix operator-sampling-filter bank S are given, firstly, we introduce the detail algorithm to derive the optimum matrix operator-synthesis-filter bank Z that minimizes all the worst-case measures of the matrix operator-error-signals E(ω) = F(ω) − Y(ω) between the matrix operator-input-signals F(ω) and the matrix operator-output-signals Y(ω) of the matrix operator-filter bank at the same time. Further, feedback is introduced to the above approximation theory, and it is indicated that introducing conversations with feedback do not superior automatically to the accumulation of existing knowledge of signal prediction. Secondly, the concept of category in the field of mathematics is applied to the above optimum signal approximation and is indicated that the category-based approximation theory is applied to the set-theoretic consideration of the recognition of humans. Based on this discussion, it is shown naturally why the narrow perception that tends to create isolation shows an apparent advantage in the short term and, often, why such narrow thinking becomes intimate with discriminatory action in a human group. Throughout these considerations, it is presented that, in order to abolish easy and intimate discriminatory behavior, it is important to create a parallel world of conception where we share the set of invisible error signals, including the words and the consciousness of both worlds. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=matrix%20filterbank" title="matrix filterbank">matrix filterbank</a>, <a href="https://publications.waset.org/abstracts/search?q=optimum%20signal%20approximation" title=" optimum signal approximation"> optimum signal approximation</a>, <a href="https://publications.waset.org/abstracts/search?q=category%20theory" title=" category theory"> category theory</a>, <a href="https://publications.waset.org/abstracts/search?q=simultaneous%20minimization" title=" simultaneous minimization"> simultaneous minimization</a> </p> <a href="https://publications.waset.org/abstracts/150610/theory-of-the-optimum-signal-approximation-clarifying-the-importance-in-the-recognition-of-parallel-world-and-application-to-secure-signal-communication-with-feedback" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/150610.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">143</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">398</span> Classification of Random Doppler-Radar Targets during the Surveillance Operations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=G.%20C.%20Tikkiwal">G. C. Tikkiwal</a>, <a href="https://publications.waset.org/abstracts/search?q=Mukesh%20Upadhyay"> Mukesh Upadhyay</a> </p> <p class="card-text"><strong>Abstract:</strong></p> During the surveillance operations at war or peace time, the Radar operator gets a scatter of targets over the screen. This may be a tracked vehicle like tank vis-à-vis T72, BMP etc, or it may be a wheeled vehicle like ALS, TATRA, 2.5Tonne, Shaktiman or moving the army, moving convoys etc. The radar operator selects one of the promising targets into single target tracking (STT) mode. Once the target is locked, the operator gets a typical audible signal into his headphones. With reference to the gained experience and training over the time, the operator then identifies the random target. But this process is cumbersome and is solely dependent on the skills of the operator, thus may lead to misclassification of the object. In this paper, we present a technique using mathematical and statistical methods like fast fourier transformation (FFT) and principal component analysis (PCA) to identify the random objects. The process of classification is based on transforming the audible signature of target into music octave-notes. The whole methodology is then automated by developing suitable software. This automation increases the efficiency of identification of the random target by reducing the chances of misclassification. This whole study is based on live data. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=radar%20target" title="radar target">radar target</a>, <a href="https://publications.waset.org/abstracts/search?q=FFT" title=" FFT"> FFT</a>, <a href="https://publications.waset.org/abstracts/search?q=principal%20component%20analysis" title=" principal component analysis"> principal component analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=eigenvector" title=" eigenvector"> eigenvector</a>, <a href="https://publications.waset.org/abstracts/search?q=octave-notes" title=" octave-notes"> octave-notes</a>, <a href="https://publications.waset.org/abstracts/search?q=DSP" title=" DSP"> DSP</a> </p> <a href="https://publications.waset.org/abstracts/37430/classification-of-random-doppler-radar-targets-during-the-surveillance-operations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/37430.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">394</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">397</span> Quantum Mechanics Approach for Ruin Probability</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ahmet%20Kaya">Ahmet Kaya</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Incoming cash flows and outgoing claims play an important role to determine how is companies’ profit or loss. In this matter, ruin probability provides to describe vulnerability of the companies against ruin. Quantum mechanism is one of the significant approaches to model ruin probability as stochastically. Using the Hamiltonian method, we have performed formalisation of quantum mechanics < x|e-ᵗᴴ|x' > and obtained the transition probability of 2x2 and 3x3 matrix as traditional and eigenvector basis where A is a ruin operator and H|x' > is a Schroedinger equation. This operator A and Schroedinger equation are defined by a Hamiltonian matrix H. As a result, probability of not to be in ruin can be simulated and calculated as stochastically. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=ruin%20probability" title="ruin probability">ruin probability</a>, <a href="https://publications.waset.org/abstracts/search?q=quantum%20mechanics" title=" quantum mechanics"> quantum mechanics</a>, <a href="https://publications.waset.org/abstracts/search?q=Hamiltonian%20technique" title=" Hamiltonian technique"> Hamiltonian technique</a>, <a href="https://publications.waset.org/abstracts/search?q=operator%20approach" title=" operator approach"> operator approach</a> </p> <a href="https://publications.waset.org/abstracts/53562/quantum-mechanics-approach-for-ruin-probability" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/53562.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">340</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">396</span> Application of Principle Component Analysis for Classification of Random Doppler-Radar Targets during the Surveillance Operations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=G.%20C.%20Tikkiwal">G. C. Tikkiwal</a>, <a href="https://publications.waset.org/abstracts/search?q=Mukesh%20Upadhyay"> Mukesh Upadhyay</a> </p> <p class="card-text"><strong>Abstract:</strong></p> During the surveillance operations at war or peace time, the Radar operator gets a scatter of targets over the screen. This may be a tracked vehicle like tank vis-à-vis T72, BMP etc, or it may be a wheeled vehicle like ALS, TATRA, 2.5Tonne, Shaktiman or moving army, moving convoys etc. The Radar operator selects one of the promising targets into Single Target Tracking (STT) mode. Once the target is locked, the operator gets a typical audible signal into his headphones. With reference to the gained experience and training over the time, the operator then identifies the random target. But this process is cumbersome and is solely dependent on the skills of the operator, thus may lead to misclassification of the object. In this paper we present a technique using mathematical and statistical methods like Fast Fourier Transformation (FFT) and Principal Component Analysis (PCA) to identify the random objects. The process of classification is based on transforming the audible signature of target into music octave-notes. The whole methodology is then automated by developing suitable software. This automation increases the efficiency of identification of the random target by reducing the chances of misclassification. This whole study is based on live data. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=radar%20target" title="radar target">radar target</a>, <a href="https://publications.waset.org/abstracts/search?q=fft" title=" fft"> fft</a>, <a href="https://publications.waset.org/abstracts/search?q=principal%20component%20analysis" title=" principal component analysis"> principal component analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=eigenvector" title=" eigenvector"> eigenvector</a>, <a href="https://publications.waset.org/abstracts/search?q=octave-notes" title=" octave-notes"> octave-notes</a>, <a href="https://publications.waset.org/abstracts/search?q=dsp" title=" dsp"> dsp</a> </p> <a href="https://publications.waset.org/abstracts/39492/application-of-principle-component-analysis-for-classification-of-random-doppler-radar-targets-during-the-surveillance-operations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/39492.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">346</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">395</span> Category-Base Theory of the Optimum Signal Approximation Clarifying the Importance of Parallel Worlds in the Recognition of Human and Application to Secure Signal Communication with Feedback</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Takuro%20Kida">Takuro Kida</a>, <a href="https://publications.waset.org/abstracts/search?q=Yuichi%20Kida"> Yuichi Kida</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We show a base of the new trend of algorithm mathematically that treats a historical reason of continuous discrimination in the world as well as its solution by introducing new concepts of parallel world that includes an invisible set of errors as its companion. With respect to a matrix operator-filter bank that the matrix operator-analysis-filter bank H and the matrix operator-sampling-filter bank S are given, firstly, we introduce the detailed algorithm to derive the optimum matrix operator-synthesis-filter bank Z that minimizes all the worst-case measures of the matrix operator-error-signals E(ω) = F(ω) − Y(ω) between the matrix operator-input-signals F(ω) and the matrix operator-output signals Y(ω) of the matrix operator-filter bank at the same time. Further, feedback is introduced to the above approximation theory and it is indicated that introducing conversations with feedback does not superior automatically to the accumulation of existing knowledge of signal prediction. Secondly, the concept of category in the field of mathematics is applied to the above optimum signal approximation and is indicated that the category-based approximation theory is applied to the set-theoretic consideration of the recognition of humans. Based on this discussion, it is shown naturally why the narrow perception that tends to create isolation shows an apparent advantage in the short term and, often, why such narrow thinking becomes intimate with discriminatory action in a human group. Throughout these considerations, it is presented that, in order to abolish easy and intimate discriminatory behavior, it is important to create a parallel world of conception where we share the set of invisible error signals, including the words and the consciousness of both worlds. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=signal%20prediction" title="signal prediction">signal prediction</a>, <a href="https://publications.waset.org/abstracts/search?q=pseudo%20inverse%20matrix" title=" pseudo inverse matrix"> pseudo inverse matrix</a>, <a href="https://publications.waset.org/abstracts/search?q=artificial%20intelligence" title=" artificial intelligence"> artificial intelligence</a>, <a href="https://publications.waset.org/abstracts/search?q=conditional%20optimization" title=" conditional optimization"> conditional optimization</a> </p> <a href="https://publications.waset.org/abstracts/144630/category-base-theory-of-the-optimum-signal-approximation-clarifying-the-importance-of-parallel-worlds-in-the-recognition-of-human-and-application-to-secure-signal-communication-with-feedback" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/144630.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">156</span> </span> </div> </div> <ul class="pagination"> <li class="page-item disabled"><span class="page-link">&lsaquo;</span></li> <li class="page-item active"><span class="page-link">1</span></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=differentiable%20operator&page=2">2</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=differentiable%20operator&page=3">3</a></li> 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