1,721,032 research outputs found

    Note on the size of standard two-character sets in PG(d,q)

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    This note concerns skills and research areas relating to the foundations of mathematics and the aspects of complementary and elementary mathematics from a higher point of view necessary for their treatment. In particular, we prove that, in PG(d,q), with d odd or q a square, any c-set of type (a,b) with c∈{a[θ_(d-1)+q^((d-1)/2) ]/θ_(d-2) ,b[θ_(d-1)-q^((d-1)/2) ]/θ_(d-2) } has standard parameters

    Exploiting research results in practice

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    With the wearIT@work project the European Commission and 42 partners from 16 countries invested into a new technology empowering mobile workers. The first 42 months of this project are over and industrial demonstrators, evaluations and results and an exploitation strategy are available. Beside the four application domains of maintenance, production, healthcare and emergency response further domains like cultural heritage, a rural living lab for the prevention of environmental disasters and eInclusion are first extensions to new application domains. In this paper based on the results of the third development cycle of the project the general outline of the exploitation strategy is presented as a good practice example. © 2008 Nottingham University

    (11, 3)−arc configurations in PG(2, 5)

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    Taking a cue from two recent articles of S. Innamorati et al., [9] and [10], as part of promoting and improving pattern discovery skills among students, the construction of the (11, 3)−arc configurations of the projective plane of order five can be used as example of a problem solving task. We show that answering to the question of how to construct the maximum (k, 3)−arcs in PG(2, 5) opens the door to a wealth of interesting mathematics

    odd

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    Recently, see [1], Alabdullah and Hirschfeld introduce the type of a point. This simple and original concept allow us to characterize the set of external points of a conic in PG, (2, q) odd, within a class of three-character sets

    The yin-yang structure of the affine plane of order four

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    In this paper we show the yin-yang structure of the affine plane of order four by characterizing the unique blocking set as the MöbiusKantor configuration 8_3
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