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Distributional Watson Transforms

Canadian Journal of Mathematics, 1972
All 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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ON THE SCHWARTZ'S HANKEL TRANSFORMATION OF DISTRIBUTIONS

Analysis, 1993
Summary: The simultaneous consideration of two integral transformations verifying a mixed Parseval relation suggests a new method of defining the Schwartz's Hankel transformation on certain spaces of generalized functions of slow growth. The results obtained extend prior analysis of the generalized Hankel transformation.
Méndez Pérez, J. M. R.   +1 more
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Distributed Graphs and Graph Transformation

Applied Categorical Structures, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Transformer harmonics and their distribution

Journal of the A.I.E.E., 1925
This paper discusses briefly the distribution of harmonics in single-phase transformers and in three-phase banks of single-phase transformers. Two-winding transformers or three-winding transformers, where the harmonic current exists in two of the windings only, are considered.
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Transformational design of distributed systems

Proceedings of 2nd International Workshop on Configurable Distributed Systems, 2002
Summary form only given. Our position is founded upon three premises. The first is that transformational techniques can provide useful support to the design of distributed systems. In this approach, design commences with an idealized specification (expressed in a non-distributed fashion), and terminates with a distributed implementation that exhibits ...
Stephen Fickas   +3 more
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Reducing losses in distribution transformers

IEEE Transactions on Power Delivery, 2002
This 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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Transform methods for the hypergeometric distribution

Statistics and Computing, 2004
Two new methods for computing with hypergeometric distributions on lattice points are presented. One uses Fourier analysis, and the other uses Grobner bases in the Weyl algebra. Both are very general and apply to log-linear models that are graphical or non-graphical.
Ian H. Dinwoodie   +2 more
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Transformation of Bimodal Probability Distributions Into Possibility Distributions

IEEE Transactions on Instrumentation and Measurement, 2008
At 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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Certain Fourier Transforms of Distributions

Canadian Journal of Mathematics, 1951
Fourier transforms of distribution functions are frequently studied in the theory of probability. In this connection they are called characteristic functions of probability distributions. It is often of interest to decide whether a given function φ(t) can be the characteristic function of a ...
Lukacs, Eugene, Szász, Otto
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On Distributional Marchi-Zgrablich Transformation

IMA Journal of Applied Mathematics, 1985
The authors extend the classical Marchi-Zgrablich transformations to generalized functions. A testing-function space \(MZ_{m,\nu}(I)\) and its dual are defined. The Marchi-Zgrablich transform of a generalized function \(f\in MZ_{m,\nu}(I)\) is defined as: \[ F(n)=, \] (details of the kernel \(xS_{\nu}\) are omitted) \(n=1,2,3,...;m\geq\), \(\nu\geq -\),
Bhosale, S. D., More, S. V.
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