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Applied Mechanics Reviews, 1986
This article concerns infinitesimal free vibrations of undamped elastic systems of finite extent. A review is made of the literature relating to the unique reconstruction of a vibrating system from natural frequency data. The literature is divided into two groups—those papers concerning discrete systems, for which the inverse problems are closely ...
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This article concerns infinitesimal free vibrations of undamped elastic systems of finite extent. A review is made of the literature relating to the unique reconstruction of a vibrating system from natural frequency data. The literature is divided into two groups—those papers concerning discrete systems, for which the inverse problems are closely ...
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The Anatomy of Inverse Problems
GEOPHYSICS, 2000A major task of geophysics is to make quantitative statements about the interior of the earth. For this reason, inverse problems are an important area of geophysical research and industrial application. Figure 1 shows how many texts present inverse problems.
Scales, J.A., Snieder, R.
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An inverse problem in electrostatics
Inverse Problems, 1999Summary: We reconstruct the shape of a conductor from knowledge of its Green function on a large sphere. To this end, we consider an integral operator \(F\) having as kernel the difference between the Green function of the conductor and the Green function of free space.
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Inverse problems as statistics
Inverse Problems, 2002Summary: What mathematicians, scientists, engineers and statisticians mean by `inverse problem' differs. For a statistician, an inverse problem is an inference or estimation problem. The data are finite in number and contain errors, as they do in classical estimation or inference problems, and the unknown typically is infinite-dimensional, as it is in ...
Evans, Steven N., Stark, Philip B.
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Biopolymers, 1973
AbstractThe DNA distribution function for a given section of DNA of a given length depends on the nucleotide composition. It can be expressed in terms of other functions, such as specific heat, optical density, etc., if they are measured in the vicinity of the DNA melting point.
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AbstractThe DNA distribution function for a given section of DNA of a given length depends on the nucleotide composition. It can be expressed in terms of other functions, such as specific heat, optical density, etc., if they are measured in the vicinity of the DNA melting point.
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Journal of the Optical Society of America A, 2000
We apply functional analysis to the scattered electromagnetic field of a particle with spherical symmetry to obtain a pair of integral transforms for converting the Mie-scattering amplitudes S perpendicular (theta) and S parallel (theta) into the Mie coefficients an and bn.
I K, Ludlow, J, Everitt
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We apply functional analysis to the scattered electromagnetic field of a particle with spherical symmetry to obtain a pair of integral transforms for converting the Mie-scattering amplitudes S perpendicular (theta) and S parallel (theta) into the Mie coefficients an and bn.
I K, Ludlow, J, Everitt
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The Inverse Classification Problem
Journal of Computer Science and Technology, 2010In this paper, we examine an emerging variation of the classification problem, which is known as the inverse classification problem. In this problem, we determine the features to be used to create a record which will result in a desired class label. Such an approach is useful in applications in which it is an objective to determine a set of actions to ...
Charu C. Aggarwal +2 more
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Clouds and the inversion problem
Journal of Quantitative Spectroscopy and Radiative Transfer, 1968Limb darkening inversion analyzed by earth atmosphere model with imbedded cloud, discussing radiances inversion for various cloud covers and ...
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Inverse problems and coherence
IEEE Transactions on Antennas and Propagation, 1981A summary of current inverse problems of statistical optics is presented together with a short guide to the pertinent review-type literature. The retrieval of structural information from the far-zone degree of coherence and the average intensity distribution of radiation scattered by a superpesition of random and periodic scatterers is discussed.
BALTES, HP, FERWERDA, HA
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Mathematika, 2001
Let \({\mathcal A}\) and \({\mathcal B}\) be sets of natural numbers, \({\mathcal P}\) be the set of all prime numbers, and define \({\mathcal A}+{\mathcal B}=\{a+b:\;a\in{\mathcal A},\;b\in{\mathcal B}\}\). Also write \(A(x)=| {\mathcal A}\cap[1,x]| \) and \(B(x)=| {\mathcal B}\cap[1,x]| \), where \(| {\mathcal S}| \) means the cardinality of a set \({
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Let \({\mathcal A}\) and \({\mathcal B}\) be sets of natural numbers, \({\mathcal P}\) be the set of all prime numbers, and define \({\mathcal A}+{\mathcal B}=\{a+b:\;a\in{\mathcal A},\;b\in{\mathcal B}\}\). Also write \(A(x)=| {\mathcal A}\cap[1,x]| \) and \(B(x)=| {\mathcal B}\cap[1,x]| \), where \(| {\mathcal S}| \) means the cardinality of a set \({
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