2,471 research outputs found

    A Bichromatic Incidence Bound and an Application

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    We prove a new, tight upper bound on the number of incidences between points and hyperplanes in Euclidean d-space. Given n points, of which k are colored red, there are O_d(m^{2/3}k^{2/3}n^{(d-2)/3} + kn^{d-2} + m) incidences between the k red points and m hyperplanes spanned by all n points provided that m = \Omega(n^{d-2}). For the monochromatic case k = n, this was proved by Agarwal and Aronov. We use this incidence bound to prove that a set of n points, no more than n-k of which lie on any plane or two lines, spans \Omega(nk^2) planes. We also provide an infinite family of counterexamples to a conjecture of Purdy's on the number of hyperplanes spanned by a set of points in dimensions higher than 3, and present new conjectures not subject to the counterexample.Comment: 12 page

    A Recital of Brass Music with the University Brass Ensemble

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    This is the program for The University Brass Ensemble concert conducted by James H. Smith. The concert was held on April 28, 1968, in Mitchell Hall

    Through the looking glass: counter-mirror activation following incompatible sensorimotor learning.

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    The mirror system, comprising cortical areas that allow the actions of others to be represented in the observer's own motor system, is thought to be crucial for the development of social cognition in humans. Despite the importance of the human mirror system, little is known about its origins. We investigated the role of sensorimotor experience in the development of the mirror system. Functional magnetic resonance imaging was used to measure neural responses to observed hand and foot actions following one of two types of training. During training, participants in the Compatible (control) group made mirror responses to observed actions (hand responses were made to hand stimuli and foot responses to foot stimuli), whereas the Incompatible group made counter-mirror responses (hand to foot and foot to hand). Comparison of these groups revealed that, after training to respond in a counter-mirror fashion, the relative action observation properties of the mirror system were reversed; areas that showed greater responses to observation of hand actions in the Compatible group responded more strongly to observation of foot actions in the Incompatible group. These results suggest that, rather than being innate or the product of unimodal visual or motor experience, the mirror properties of the mirror system are acquired through sensorimotor learning

    Cost accounting for brass manufacturers, Final report on the preparation of a uniform cost accounting system

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    The following report of the Special Cost Committee, appointed by the Permanent Cost Committee at the meeting held at the Congress Hotel, Chicago, May 22nd and 23rd, 1917, outlines a Uniform Cost Finding System that will adequately meet the needs of Brass Manufacturers. It has been constantly borne in mind by this Committee that this Uniform Cost Finding System must be as applicable to the small manufacturer as to the large one, and we believe that a careful study of this report will bear out the statement that it will meet the requirements of any brass manufacturer, regardless of the size of his plant. In considering a Uniform Cost Finding System, its relation to other phases of the business of manufacturing must be taken into consideration. There is production work, which consists of planning the work to be performed in the factory, and the issuing of instructions covering it; control of labor and pay-roll department. Then there is Purchasing, Inspecting, Receiving, General Accounting and Shipping. It has been the aim of this Committee to confine its recommendations to actual cost finding as much as possible, although occasional references to Production and General Accounting will be found. By this is meant, the general books should reflect in total what the cost accounts represent in detailâ⠡¬â€�in other words, the accounts in the general books must be so arranged that the detailed charges and credits turned in monthly by the Cost Department can be posted directly to the general account affected. The accounts in the general books must be of sufficient detail to overcome the bad practice of charging many items to General Expense that really deserve separate accounts

    Sequence Dependence of Self-Interacting Random Chains

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    We study the thermodynamic behavior of the random chain model proposed by Iori, Marinari and Parisi, and how this depends on the actual sequence of interactions along the chain. The properties of randomly chosen sequences are compared to those of designed ones, obtained through a simulated annealing procedure in sequence space. We show that the transition to the folded phase takes place at a smaller strength of the quenched disorder for designed sequences. As a result, folding can be relatively fast for these sequences.Comment: 14 pages, uuencoded compressed postscript fil

    Langevin Simulations of Two Dimensional Vortex Fluctuations: Anomalous Dynamics and a New IVIV-exponent

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    The dynamics of two dimensional (2D) vortex fluctuations are investigated through simulations of the 2D Coulomb gas model in which vortices are represented by soft disks with logarithmic interactions. The simulations trongly support a recent suggestion that 2D vortex fluctuations obey an intrinsic anomalous dynamics manifested in a long range 1/t-tail in the vortex correlations. A new non-linear IV-exponent a, which is different from the commonly used AHNS exponent, a_AHNS and is given by a = 2a_AHNS - 3, is confirmed by the simulations. The results are discussed in the context of earlier simulations, experiments and a phenomenological description.Comment: Submitted to PRB, RevTeX format, 28 pages and 13 figures, figures in postscript format are available at http://www.tp.umu.se/~holmlund/papers.htm
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