منابع مشابه
Note on the Heaviside Expansion Formula.
Included among these is the sum of the squares of the characteristic numbers of P1, i.e., the sum of ihe characteristic numbers of N1 = AA*; this is the well-known unitary invariant Eapdpq of Frobenius. p,q When A is normal AA* = A*A or PU.UI*P1 = U*"P.P,U so that I= U*PU = (U*PU)2. Hence P1 = U*P,U or UP1 = POU. Conversely if UP1 = P1U we have A*A = A*A so that a matrix A is normal. when and o...
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in 1914, showing a decidedly lower transmission of radiation through the water cell, in the case of Venus and Saturn. The intensity of the planetary radiation increases with decrease in the density of the surrounding atmosphere and (as interpreted from the water cell transmissions) in per cent of the total radiation emitted, is as follows: Jupiter (0), Venus (5), Saturn (15), Mars (30) and the ...
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We propose the use of Heaviside transform with respect to the quark mass to investigate dynamical aspects of QCD. We show that at large momentum transfer the transformed propagator of massive quarks behaves softly and thus the dominant effect of explicit chiral symmetry breaking disappears through Heaviside transform. This suggests that the massless approximation would be more convenient to do ...
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A connection is investigated between integral formulas and neural networks based on the Heaviside function. The integral formula developed by Kůrková, Kainen and Kreinovich is derived in a new way for odd dimensions and extended to even dimensions. In particular, it is shown that well-behaved functions of d variables can be represented by integral combinations of Heavisides with weights dependi...
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We present a finite difference method for discretizing a Heaviside function H(u(~x)), where u is a level set function u : Rn 7→ R that is positive on a bounded region Ω ⊂ R. There are two variants of our algorithm, both of which are adapted from finite difference methods that we proposed for discretizing delta functions in [13–15]. We consider our approximate Heaviside functions as they are use...
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ژورنال
عنوان ژورنال: Proceedings of the IRE
سال: 1916
ISSN: 0096-8390
DOI: 10.1109/jrproc.1916.217279