124,179 research outputs found

    Wulff, N L, 413303

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    This record was harvested from a previous catalogue system and will be withdrawn in 2025. Information in this record may be superseded or incomplete. Visit this record in UMA's new catalogue at: https://archives.library.unimelb.edu.au/nodes/view/427443Surname: WULFF. Given Name(s) or Initials: N L. Military Service Number or Last Known Location: 413303. Missing, Wounded and Prisoner of War Enquiry Card Index Number: 51439.250569 Item: [2016.0049.59704] "Wulff, N L, 413303

    Topological aspect of Wulff shapes

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    In this paper we investigate Wulff shapes in Rⁿ⁺¹ (n ≥ 0) from the topological viewpoint. A topological characterization of the limit of Wulff shapes and the dual Wulff shape of the given Wulff shape are provided. Moreover, we show that the given Wulff shape is never a polytope if its support function is of class C¹. Several characterizations of the given Wulff shape from the viewpoint of pedals are also provided. One of such characterizations may be regarded as a bridge between the mathematical aspect of crystals at equilibrium and the mathematical aspect of perspective projections

    Topological aspect of Wulff shapes

    No full text
    In this paper we investigate Wulff shapes in Rⁿ⁺¹ (n ≥ 0) from the topological viewpoint. A topological characterization of the limit of Wulff shapes and the dual Wulff shape of the given Wulff shape are provided. Moreover, we show that the given Wulff shape is never a polytope if its support function is of class C¹. Several characterizations of the given Wulff shape from the viewpoint of pedals are also provided. One of such characterizations may be regarded as a bridge between the mathematical aspect of crystals at equilibrium and the mathematical aspect of perspective projections

    Wulff Steiner polynomial for ovaloid

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    The equilibrium shape of a crystal is the celebrated Wulff shape W, which can be obtained via the Wulff flow. When the initial crystal K is convex, the image under the Wulff flow is K + tW after time t. The n + 1-dimensional volume Vn+1(K + tB) is the well known Steiner polynomial , where B is the closed unit ball.Wulff flow and Wulff shape has been highly studied in crystal growth. Ge-ometric information encoded in the the associated Wulff-Steiner polynomial was far from being thoroughly understood.In this thesis, Wulff-Steiner polynomial of degree 2 was surveyed. We ob-tained a characterization of them. The relative positions among the roots , the W-inradius, W-outradius and other geometric quantities are studied. Wulff-Steiner polynomial have no positive real root by its definition. For degree 2, the fact that it must have negative real roots is equivalent to the classi-cal isoperimetric inequality. For degree 3, we showed that complex roots can occur and that the real parts of any complex root must be negative. As an application of the Wulff-Steiner polynomial, we found an invariant under the Wulff flow in any dimension n ≥ 2.</p

    El uso del software HistCite para identificar artículos significativos en búsquedas por materias en la Web of Science

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    HistCiteTM is a large-scale computer tool for mapping science. Its power of visualization combines the production of historiographs on the basis of the analysis of co-citations of documents, with the use of bibliometrics specific indicators. The objective of this article is, to present the advantages of the new bibliometrics configuration of HistCiteTM (2004) when identifying articles to analyze the histograms that produces HistCiteTM, in terms of cumulative advantage and aging of the citations to do a comparative study of the results of HistCiteTM, in its indicators of amplitude and recognition. Also is examined its treatment of the sampling problems, by formalizing the question of Kendall

    Exploring the Relevance of Two-Part Models in Innovation Research

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    Reference list for studies included in the literature review in Pedersen, C., Villadsen, A. R., Wulff, J. N., “Exploring the Relevance of Two-Part Models in Innovation Research: Towards a Better Understanding of Innovation Sales”. In: International Journal of Innovation Management (2024), in–press

    All-Pairs Minimum Cuts in Near-Linear Time for Surface-Embedded Graphs

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    For an undirected n-vertex graph G with non-negative edge-weights, we consider the following type of query: given two vertices s and t in G, what is the weight of a minimum st-cut in G? We solve this problem in preprocessing time O(n log^3 n) for graphs of bounded genus, giving the first sub-quadratic time algorithm for this class of graphs. Our result also improves by a logarithmic factor a previous algorithm by Borradaile, Sankowski and Wulff-Nilsen (FOCS 2010) that applied only to planar graphs. Our algorithm constructs a Gomory-Hu tree for the given graph, providing a data structure with space O(n) that can answer minimum-cut queries in constant time. The dependence on the genus of the input graph in our preprocessing time is 2^{O(g^2)}

    Dante, Pietra in pietra

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    Wulff Fr. Dante, Pietra in pietra. In: Romania, tome 25 n°99, 1896. pp. 455-458
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