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1.
2.
Inverse limits as limits with respect to the Hausdorff metric
Iztok Banič, 2007, published scientific conference contribution abstract

Keywords: mathematics, topology, continua, inverse limits, upper semicontinuous set-valued functions
Published: 31.05.2012; Views: 809; Downloads: 62
URL Link to full text

3.
On dimension of inverse limits with upper semicontinuous set-vaulted bonding functions
Iztok Banič, 2007, original scientific article

Abstract: We give results about the dimension of continua, obtained by combining inverselimits of inverse sequences of metric spaces and one-valued bonding maps with inverse limits of inverse sequences of metric spaces and upper semicontinuous set-valued bonding functions, by standard procedure introduced in [I. Banič, Continua with kernels, Houston J. Math. (2006) in press].
Keywords: mathematics, topology
Published: 31.05.2012; Views: 956; Downloads: 10
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4.
On the vital difference between number theory and numerology in physics
Leila Marek-Crnjac, 2008, original scientific article

Abstract: The interrelation between pure mathematics and physics is very deep and intricate. It is similar to the duality between pure reason and reality. However, the difference between number theory and numerology when used in physics should be clear and easily sorted out. Confusion in this respect is not possible and while numerology must be deplored, number theoretical argument should be an integral part of theoretical physics.
Keywords: number theory, topology, numerology
Published: 31.05.2012; Views: 828; Downloads: 67
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5.
MINLP optimization of a single-storey industrial steel building
Tomaž Žula, Zdravko Kravanja, Stojan Kravanja, 2008, original scientific article

Abstract: The paper presents the topology and standard sizes optimization of a single-storey industrial steel building, made from standard hot rolled I sections. The structure consists of main portal frames, connected with purlins. The structural optimization is performed by the Mixed-Integer Non-linear programming approach (MINLP). The MINLP performs a discrete topology and standard dimension optimization simultaneously with continuous parameters. Since the discrete/continuous optimization problem of the industrial building is non-convex and highly non-linear, the Modified Outer- Approximation/Equality-Relaxation (OA/ER) algorithm has been used for the optimization. Alongside the optimum structure mass, the optimum topology with the optimum number of portal frames and purlins as well as all standard cross-section sizes have been obtained. The paper includes the theoretical basis and a practical example with the results of the optimization.
Keywords: civil engineering, topology optimization, sizing optimization, nonlinear programming, MINLP
Published: 31.05.2012; Views: 1344; Downloads: 30
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6.
A hexahedral mesh connectivity compression with vertex degrees
Sebastian Krivograd, Mladen Trlep, Borut Žalik, 2008, original scientific article

Abstract: This paper introduces a new algorithm for the compression of manifold hexahedral meshes topology, using vertex degree. The topology compression consists of two parts-the meshćs boundary consisting of quadrilaterals is compressed first, and then the hexahedra are processed by the help of six commands. The topology compression algorithm has been matched against the best-known method to-date, and shows itself to be competitive.
Keywords: hexahedral meshes topology, FEM, compression, topology compression algorithm, geometry, algorithms
Published: 31.05.2012; Views: 1051; Downloads: 67
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7.
The multilevel MINLP optimization approach to structural synthesis: the simultaneous topology, material, standard and rounded dimension optimization
Stojan Kravanja, Simon Šilih, Zdravko Kravanja, 2005, original scientific article

Abstract: The paper describes the simultaneous topology, material, standard and rounded dimension optimization of mechanical structures, performed by the Mixed-Integer Non-linear Programming (MINLP) approach. Beside the generation of an MINLP mechanical superstructure, the development of a general multilevel MINLP formulation for a mechanical superstructure is presented. The consideration of the discrete materials as well as standard and particularly rounded dimensions in structural synthesis significantly increases the combinatorics of the discrete optimization, which as a result may become too difficult to solve. A Linked Multilevel Hierarchical Strategy (LMHS) has been introduced for the solving of such large combinatorial problems. In order to decrease the effect of non-convexities, the Modified Outer-Approximation/Equality-Relaxation (OA/ER) algorithm has been applied. Four numerical examples of different complexities are presented to illustrate the proposed multilevel MINLP optimization approach: the optimization of two steel trusses, a composite I beam and a hydraulic steel roller gate Intake gate, erected in Aswan II, Egypt.
Keywords: structural optimization, structural synthesis, MINLP, topology opitmization, material optimization, discrete variable optimization, multilevel MINLP strategy, truss, composite beam, roller gate
Published: 01.06.2012; Views: 1680; Downloads: 65
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8.
Generalized inverse limits - open problems
Iztok Banič, 2011, published scientific conference contribution abstract

Keywords: mathematics, topology, continua, inverse limits
Published: 07.06.2012; Views: 745; Downloads: 18
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9.
Tent maps inverse limits and open problems
Matevž Črepnjak, Iztok Banič, Matej Merhar, Uroš Milutinović, 2011, published scientific conference contribution abstract

Keywords: mathematics, topology, continua, inverse limits, tent maps, Knaster continua
Published: 07.06.2012; Views: 678; Downloads: 24
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10.
Limits of inverse limits and applications
Matej Merhar, Iztok Banič, Matevž Črepnjak, Uroš Milutinović, 2011, published scientific conference contribution abstract

Keywords: mathematics, topology, continua, inverse limits, upper semi-continuous set-valued functions
Published: 07.06.2012; Views: 706; Downloads: 14
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