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0102 Applied Mathematics

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Date: 2017
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/159259
Description: Bidders often feel challenged when looking for the best bidding strategies to excel in the competitive environment of multiple and simultaneous online auctions for same or similar items. Bidders face ... More
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Date: 2017
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/159321
Description: In this paper, we develop a version of the bundle method to solve unconstrained difference of convex (DC) programming problems. It is assumed that a DC representation of the objective function is avai... More
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Date: 2017
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/157560
Description: In this paper, a displacement based finite element framework for general three-dimensional convex polyhedra is presented. The method is based on a semi-analytical framework, the scaled boundary finite... More
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Date: 2017
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/159295
Description: In this paper, we derive a necessary condition for a best approximation by piecewise polynomial functions of varying degree from one interval to another. Based on these results, we obtain a characteri... More
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Date: 2017
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/158400
Description: The aim of this paper is to develop an algorithm for solving the clusterwise linear least absolute deviations regression problem. This problem is formulated as a nonsmooth nonconvex optimization probl... More
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Date: 2017
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/159323
Description: We give a complete characterization of subgroups of separable topological groups. Then we show that the following conditions are equivalent for an omega-narrow topological group G: (i) G is homeomorph... More
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Date: 2017
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/158335
Description: A special type of multi-variate polynomial of degree 4, called the double well potential function, is studied. It is derived from a discrete approx imation of the generalized Ginzburg-Landau functiona... More
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Date: 2017
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/158516
Description: A special type of multi-variate polynomial of degree 4, called the double well potential function, is studied. It is derived from a discrete approximation of the generalized Ginzburg-Landau functional... More
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Date: 2017
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/159226
Description: The main purpose of this paper consists of providing characterizations of the inclusion of the solution set of a given conic system posed in a real locally convex topological space into a variety of s... More
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Authors: Jin, Zhong | Gao, David
Date: 2017
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/104304
Description: This paper presents a canonical d.c. (difference of canonical and convex functions) programming problem, which can be used to model general global optimization problems in complex systems. It shows th... More
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Date: 2017
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/159312
Description: We present a sufficient condition under which a weak solution of the Euler-Lagrange equations in nonlinear elasticity is already a global minimizer of the corresponding elastic energy functional. This... More
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Date: 2017
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/158368
Description: In this paper, an optimality condition for nonlinear programming problems with box constraints is given by using linear transformation and Lagrange interpolating polynomials. Based on this condition, ... More
Reviewed: Reviewed
Date: 2016
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/102050
Description: The paper presents a generalization of a known density theorem of Arrow, Barankin, and Blackwell for properly efficient points defined as support points of sets with respect to monotonically increasin... More
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Date: 2016
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/154534
Description: This study concentrates on optimizing a multi-state weighted k-out-of-n system consisting of different types of reparable components. An optimization model is developed to decide upon both optimal red... More
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Authors: Gao, David
Date: 2016
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/99896
Description: This paper presents a pure complementary energy variational method for solving a general anti-plane shear problem in finite elasticity. Based on the canonical duality–triality theory developed by th... More
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