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Bending of bidirectional functionally graded nonlocal stress-driven beam. [PDF]

Heliyon
Indronil D.
europepmc   +1 more source

Establishment of multifrequency magnetic resonance elastography for adrenal gland imaging: feasibility and reproducibility for assessing stiffness and fluidity in the healthy adrenal gland. [PDF]

Quant Imaging Med Surg
Webster A, Meyer T, Dukaczewska A, Mogl MT, Hamm B, Sack I, Marticorena Garcia SR.   +6 more
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Square Root Statistics of Density Matrices and Their Applications. [PDF]

Entropy (Basel)
Ye L, Huang Y, Osborn JC, Wei L.
europepmc   +1 more source

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g-Mellin Transform

2018 IEEE 16th International Symposium on Intelligent Systems and Informatics (SISY), 2018
© 2018 IEEE. One generalization of the Mellin integral transform in terms of pseudo-analysis is presented in the paper. Basic properties of this type of integral transform and one example are given. Both the g- Mellin convolution and the inverse g- Mellin transform are defined.
Duraković, Nataša, Grbić, Tatjana, Rapajić, Sanja, Medić, Slavica, Buhmiler, Sandra   +4 more
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Mellin Distributions and the Mellin Transformation

1992
The Fourier transform Fσ of a function σ ∈ S\(\left( {{{\mathbb{R}}^{n}}} \right)\) is defined by $$\mathcal{F}\sigma \left( \xi \right) = {{\left( {2\pi } \right)}^{{ - \tfrac{n}{2}}}}\int_{{{{\mathbb{R}}^{n}}}} {{{e}^{{ - ix\xi }}}\sigma \left( x \right)dx{\text{ for }}\xi \in {{\mathbb{R}}^{n}}}$$ . The transformation F is an isomorphism of S
Zofia Szmydt, Bogdan Ziemian
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Mellin transform of CPMG data

Journal of Magnetic Resonance, 2010
This paper describes a new method for computing moments of the transverse relaxation time T(2) from measured CPMG data. This new method is based on Mellin transform of the measured data and its time-derivatives. The Mellin transform can also be used to compute the cumulant generating function of lnT(2).
Lalitha, Venkataramanan, Fred K, Gruber, Tarek M, Habashy, Denise E, Freed   +3 more
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Naylor Transforms of Mellin Type

SIAM Journal on Mathematical Analysis, 1973
Some transforms introduced by Naylor (1963) are characterized in terms of Mellin transforms. This facilitates the analysis of transform properties. A problem of steady-state heat in a finite circular sector (or wedge) is considered to illustrate the use of one of the transforms and its properties.
Harrington, W. J., Patel, K. A.
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Hypergeometric Mellin transforms

Mathematical Proceedings of the Cambridge Philosophical Society, 1955
The Mellin transforms of generalized hypergeometric functions are discussed in this paper, and it is shown how some of the most general integrals of the Mellin type can be deduced from them. Four general theorems are considered and a number of special cases are given in detail.
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The Mellin central projection transform

ANZIAM Journal, 2017
The central projection transform can be employed to extract invariant features by combining contour-based and region-based methods. However, the central projection transform only considers the accumulation of the pixels along the radial direction. Consequently, information along the radial direction is inevitably lost.
JIANWEI YANG, LIANG ZHANG, ZHENGDA LU
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