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  • 1
    Digitale Medien
    Digitale Medien
    A new synthesis of bicyclo[4.1.1]octa-2,4-diene and its cycloaddition reactions with dienophiles (1985)
    s.l. : American Chemical Society
    The @journal of organic chemistry 50 (1985), S. 531-534 
    Details
    ISSN: 1520-6904
    Quelle: ACS Legacy Archives
    Thema: Chemie und Pharmazie
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1021/jo00204a022
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  • 2
    Digitale Medien
    Digitale Medien
    Topology of trajectories of the 2D Navier–Stokes equations (1992)
    Woodbury, NY : American Institute of Physics (AIP)
    Chaos 2 (1992), S. 537-563 
    Details
    ISSN: 1089-7682
    Quelle: AIP Digital Archive
    Thema: Physik
    Notizen: In spectral form the 2D incompressible Navier–Stokes equations in a square periodic region will be represented by 430 complex Fourier amplitudes which correspond to isotropic truncation of the upper wave number 16. For small viscosity, we have found five equilibrium states I–V in the entire range of forcing; I—fixed point, II—circle, III—closed orbit, IV—torus, and V—chaos. The fixed-point equilibrium state is the laminar flow. As the forcing passes through a critical value, the fixed point evolves directly to equilibrium state III under a typical multimode forcing. The chaotic transition takes place on a 2-torus-like manifold (equilibrium state IV) which is the product space of a circle and the closed orbit of equilibrium state III, similar to the quasiperiodic 2-torus of Ruelle and Takens. For sufficiently large forcing, the evolution of equilibrium state V is nothing but a simulation of quasistationary 2D turbulence. From the Lyapunov exponents of turbulent flows, we have evaluated the constants in the theoretical results of Foias and his colleagues, which relate the determining mode and fractal dimension with the enstrophy dissipation wave number of 2D turbulence.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1063/1.165861
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  • 3
    Digitale Medien
    Digitale Medien
    Stereochemistry of the thermal and photochemical rearrangement of 7,7-dimethylbicyclo[4.1.1]octa-2,4-diene to 8,8-dimethylbicyclo[5.1.0]octa-2,4-diene (1980)
    s.l. : American Chemical Society
    Journal of the American Chemical Society 102 (1980), S. 4841-4843 
    Details
    ISSN: 1520-5126
    Quelle: ACS Legacy Archives
    Thema: Chemie und Pharmazie
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1021/ja00534a051
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  • 4
    Digitale Medien
    Digitale Medien
    Crashing a maximum-weight complementary basis (1992)
    Springer
    Mathematical programming 54 (1992), S. 281-294 
    Details
    ISSN: 1436-4646
    Schlagwort(e): Linear complementarity problem ; Lemke's algorithm ; matroid intersection
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Informatik , Mathematik
    Notizen: Abstract We consider the problem of finding a maximum-weight complementary basis of anm × 2m matrix. The problem arises naturally, for example, when a complementary set of columns is proposed as an initial basis for a “warm start” of Lemke's algorithm, but the set of columns is rank-deficient. We show that the problem is a special case of the problem of finding a maximum-weight common base of two matroids. Furthermore, we show how to efficiently implement an algorithm for the general problem in the present context. Finally, we give computational results demonstrating the practicality of our algorithm in a typical application.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01586055
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  • 5
    Digitale Medien
    Digitale Medien
    Using continuous nonlinear relaxations to solve. constrained maximum-entropy sampling problems (1999)
    Springer
    Mathematical programming 85 (1999), S. 221-240 
    Details
    ISSN: 1436-4646
    Schlagwort(e): Key words: maximum-entropy sampling – branch and bound – nonlinear programming
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Informatik , Mathematik
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/s101070050055
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  • 6
    Digitale Medien
    Digitale Medien
    Order selection on a single machine with high set-up costs (1993)
    Springer
    Annals of operations research 43 (1993), S. 379-396 
    Details
    ISSN: 1572-9338
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik , Wirtschaftswissenschaften
    Notizen: Abstract We study the problem of allocating a limited quantity of a single manufacturing resource to produce a subset of possible part-types. Customer orders require one or more part-types. We assume that revenue is received for an order only if it is completely filled, and that set-up costs and order revenues dominate the variable costs of production. We present a heuristic for the solution of our problem, as well as families of cutting-planes for an integer programming formulation. Computational results on a set of random test problems indicate that the heuristic is quite effective in producing near optimal solutions. The cutting-planes appear to be quite useful in reducing the number of linear programming solutions required by branch-and-bound.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF02024936
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  • 7
    Digitale Medien
    Digitale Medien
    On the boolean-quadric packinguncapacitated facility-location polytope (1998)
    Springer
    Annals of operations research 83 (1998), S. 77-94 
    Details
    ISSN: 1572-9338
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik , Wirtschaftswissenschaften
    Notizen: Abstract We introduce and study the boolean-quadric uncapacitated packing facility-location polytope BQPUFLP(m, n), which is a model for uncapacitated facility-location problems, with m facilities and n customers, in which there are fixed costs associated with the operation of pairs of facilities. This problem arises in the design of two-level telecommunication networks in which the embedded backbone network is full-meshed and the local networks are of star type. We study the facial structure of BQPUFLP(m, n); in particular, we demonstrate that every facet of the boolean-quadric polytope BQP(m) is a facet of BQPUFLP(m, n),we introduce some facets of BQPUFLP(m, n) that are not related to BQP(m), and we provide a complete description of the facets of BQPUFLP(m, n) when m = 3. Finally, we describe a cutting-plane algorithm based on our results, and we report on the results of computational experiments on problems with m = 50 facilities and n = 1000 customers.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1023/A:1018972400378
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  • 8
    Digitale Medien
    Digitale Medien
    A spectral approach to polyhedral dimension (1990)
    Springer
    Mathematical programming 47 (1990), S. 441-459 
    Details
    ISSN: 1436-4646
    Schlagwort(e): Polyhedral dimension ; spectrum ; singular values ; integer programming
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Informatik , Mathematik
    Notizen: Abstract Thespectrum spec( ) of a convex polytope is defined as the ordered (non-increasing) list of squared singular values of [A|1], where the rows ofA are the extreme points of . The number of non-zeros in spec( ) exceeds the dimension of by one. Hence, the dimension of a polytope can be established by determining its spectrum. Indeed, this provides a new method for establishing the dimension of a polytope, as the spectrum of a polytope can be established without appealing to a direct proof of its dimension. The spectrum is determined for the four families of polytopes defined as the convex hulls of: (i) The edge-incidence vectors of cutsets induced by balanced bipartitions of the vertices in the complete undirected graph on 2q vertices (see Section 6). (ii) The edge-incidence vectors of Hamiltonian tours in the complete undirected graph onn vertices (see Section 6). (iii) The arc-incidence vectors of directed Hamiltonian tours in the complete directed graph ofn nodes (see Section 7). (iv) The edge-incidence vectors of perfect matchings in the complete 3-uniform hypergraph on 3q vertices (see Section 8). In the cases of (ii) and (iii), the associated dimension results are well-known. The dimension results for (i) and (iv) do not seem to be well-known. General principles are discussed for ‘balanced polytopes’ arising from complete structures.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01580874
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  • 9
    Digitale Medien
    Digitale Medien
    A quirk of the CRAY CFT77 compiler: IF (logical) in lieu of IF (arithmetic) (1989)
    Springer
    The journal of supercomputing 3 (1989), S. 351-355 
    Details
    ISSN: 1573-0484
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Informatik
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF00128170
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  • 10
    Digitale Medien
    Digitale Medien
    Direct-interaction approximation by the modal-interaction perturbation technique (1972)
    Springer
    Journal of statistical physics 4 (1972), S. 175-191 
    Details
    ISSN: 1572-9613
    Schlagwort(e): Kraichnan's direct-interaction approximation ; model dynamic representation ; irreducible diagram expansion: modal-interaction perturbation technique ; Burgers' model turbulence: statisticsl turbulence theory
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract An alternate method is presented of obtaining the direct-interaction equations by combining the heuristic and rigorous derivations of Kraichnan. Within the framework of the model dynamic representation of Kraichnan's rigorous theory, we have developed the irreducible diagram expansion systematically * by formalizing the perturbation argument of his heuristic derivation. It is hoped that the present work will provide a further insight into the analytical structure of the irreducible diagram expansion and bridge the gap apparent in the two original derivations of the direct-interaction equations given by Kraichnan.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01008548
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