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On the Laplace Transform for Distributions
SIAM Journal on Mathematical Analysis, 1975A new characterization of the Laplace transform for Schwartz distributions is developed, using sequences of linear transformations on the space of distributions. The standard theorems on analyticity, uniqueness and invertibility of the transform are proved, using the new characterization as the definition of the Laplace transform. It is shown that this
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Distributional Watson Transforms
Canadian Journal of Mathematics, 1972All our notation is as denned in [2] with the restriction to n = 1. However, for our purposes, we introduce a sequence of norms byin It is not difficult to see that turns out to be a fundamental space.It is a well-known fact that the Watson transform and the Mellin transform are connected by the fact thatandif and only if K(s)K(l — s) = 1, where K(s)
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Distributed Graphs and Graph Transformation
Applied Categorical Structures, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Reducing losses in distribution transformers
IEEE Transactions on Power Delivery, 2002This paper examines three methods of reducing distribution transformer losses. The first method analyzes the effects of using aluminum electromagnetic shields in a distribution transformer. The goal of placing electromagnetic shields in the distribution-transformer tank walls is to reduce the stray losses.
Juan Carlos Olivares +5 more
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On generalized transforms of distribution functions
Rivista di Matematica per le Scienze Economiche e Sociali, 1988In this note we discuss the following problem. LetX andY to be two real valued independent r.v.'s with d.f.'sF and ϕ. Consider the d.f.F*ϕ of the r.v.X oY, being o a binary operation among real numbers. We deal with the following equation: $$\mathcal{G}^1 (F * \phi ,s ...
CASTAGNOLI, ERIO, MULIERE, PIETRO
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Transformation of Bimodal Probability Distributions Into Possibility Distributions
IEEE Transactions on Instrumentation and Measurement, 2008At the application level, it is important to be able to define the measurement result as an interval that will contain an important part of the distribution of the measured values, that is, a coverage interval. This practice acknowledged by the International Organization for Standardization (ISO) Guide is a major shift from the probabilistic ...
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The distribution of transformed concordance coefficients
Communications in Statistics, 1974Wood (1970) proposed a variance stabilizing transformation for coefficients of concordance of a set of rankings. The distributions of the transformed statistics are studied using sampling experiments, and the use of Beta-distributions, as approximations to the distributions of the untransformed statistics, is considered. Simple approximations appear to
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On the Fourier Transform of Causal Distributions
Studies in Applied Mathematics, 1976We extend the distributional Bochner formula [1, p. 72, Theorem 26] to certain kinds of distributions. Theorem I.1 gives a formula [Eq. (I.1.14)] which makes it possible to obtain easily the Fourier transform of distributions of the form urn:x-wiley:00222526:media:sapm1976554315:sapm1976554315-math-0001 As applications of the formula (I.1.14) we ...
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Distributed parallelism of graph transformations
1988Parallelism of graph transformations for distributed state graphs is studied in the framework of the algebraic theory of graph grammars. The distributed parallelism theorem provides a bijective correspondence between distributed local derivations and parallel derivations of corresponding global states.
Hartmut Ehrig +3 more
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