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On determinant representations of Hermite–Padé polynomials

Transactions of the Moscow Mathematical Society
In this work we introduce new concepts: weakly normal index, weakly perfect system of functions. With these concepts for an arbitrary system of power series we formulate and prove criteria for the uniqueness of solutions to two Hermite–Padé problems, and obtain explicit determinant representations of Hermite–Padé types 1 and 2 polynomials.
Starovoitov, A. P., Ryabchenko, N. V.
openaire   +1 more source

Determining biosonar images using sparse representations

The Journal of the Acoustical Society of America, 2009
Echolocating bats are thought to be able to create an image of their environment by emitting pulses and analyzing the reflected echoes. In this paper, the theory of sparse representations and its more recent further development into compressed sensing are applied to this biosonar image formation task.
Fontaine, Bertrand, Peremans, Herbert
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Graphical representation of Salter determinants

Journal of Physics A: Mathematical and General, 1985
Methods for a graphical representation of determinants are described in detail. Three different graphs are discussed and in each case an efficient graphical method of matrix element evaluation is given. The graphs store information about large determinantal basis sets in a very compact form and allow for some insight into the structure of such basis ...
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Nonnegative Sparse Representation Based on the Determinant Measure

2016 IEEE International Conference on Digital Signal Processing (DSP), 2016
Recently, sparse representations via an overcomplete dictionary has become a major field of researches in signal processing. This paper focuses on sparse representation of nonnegative signals since signals and corresponding dictionary have nonnegativity limitations in some applications, e.g., multispectral data analysis.
Zhenni Li, Haoli Zhao, Shuxue Ding
exaly   +2 more sources

Heine Representations and Monotonicity Properties of Determinants and Pfaffians

Constructive Approximation, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ismail, Mourad E.H., Simeonov, Plamen
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An Experimental Determination of a Multipole Representation of a Turtle Heart

IEEE Transactions on Bio-medical Electronics, 1963
The potentials generated by a live turtle (pseudemys) heart at the center of a spherical electrolytic tank were measured at surface points. Using a truncated multipole expansion, the dipole and quadrupole coefficients were determined from the resultant set of simultaneous equations at intervals over the QRS period. The measurement technique was checked
J M, HLAVIN, R, PLONSEY
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Hierarchical determination of precedence order and representation of digraphs

IEEE Transactions on Systems, Man, and Cybernetics, 1983
A new way is described via a linked records structure of establishing the precedence order among relations given by an acyclic digraph with Boolean AND or OR gates at some vertices. The proposed algorithm is illustrated by an application to modular instruction system, and contrasted with ISM.
Toshiyuki Inagaki, David M. Himmelblau
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The Determinants of Americans' Attitudes of Representation

2017
This dissertation evaluates how citizens approach the representational relationship in a polarized world. How, if at all, do citizens’ perceptions of their legislators change when party identification dominates the political landscape? The answer from this study may be surprising to casual observers of American politics. First, I find that Americansâ€
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The Empirical Determination of Phonological Representations

1981
Publisher Summary This report concentrates on the nature of lexical representations with respect to their segmental phonology. In particular, this paper questions the empirical validity of lexical representations in terms of minimal contrastive units, or phonemes. There are several types of phonemes—namely.
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Structure Determination by the Representation Method

1991
The probabilistic formulae derived by means of the representation theory and the related algorithms for setting up structure invariants (i.s.) and structure seminvariants (s.s.) have been implemented in the SIR (Semlnvariant Representation) program (Burla et Al., 1980a) and the most important features of the program will be described in this paragraph,
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