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Effective Dimensionality: A Tutorial [PDF]

open access: yesMultivariate Behavioral Research, 2021
The topic of this tutorial is the effective dimensionality (ED) of a dataset, that is, the equivalent number of orthogonal dimensions that would produce the same overall pattern of covariation.
Marco Del Giudice
exaly   +2 more sources
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Three-dimensional and four-dimensional echocardiography

Ultrasound in Medicine & Biology, 1994
Since its introduction in 1974, 3-D reconstruction of the heart has undergone significant technological refinements in image acquisition, processing and display techniques. Image acquisition for transthoracic 3-D reconstruction utilizes the parasternal or apical windows, or combinations of the two.
E O, Ofili, N C, Nanda
openaire   +2 more sources

Zero-dimensional, one-dimensional, two-dimensional and three-dimensional biomaterials for cell fate regulation

Advanced Drug Delivery Reviews, 2018
The interaction of biological cells with artificial biomaterials is one of the most important issues in tissue engineering and regenerative medicine. The interaction is strongly governed by physical and chemical properties of the materials and displayed with differentiated cellular behaviors, including cell self-renewal, differentiation, reprogramming,
Can, Zhang   +6 more
openaire   +2 more sources

TWO-DIMENSIONAL-THREE-DIMENSIONAL CORRESPONDENCE IN MAMMOGRAPHY

Cybernetics and Systems, 2004
We present a framework for the registration and correspondence of magnetic resonance (MR) (three-dimensional data, 3D, data) and x-ray (two-dimensional data, 2D, data) mammographic images. The robustness of this work relies on the development of a novel method to establish nonlinear correspondence between modalities of different dimensionality, which ...
Robert Marti   +3 more
openaire   +3 more sources

On Dimensional Analysis

IBM Journal of Research and Development, 1960
The dimensions of physical quantities q are interpreted as vectors q i (γ i1 , γ i2 , …,γ in )≡γ i1 b 1 +γ i2 b 2 +…+γ in b n , where the basic elements b j generating the vector space represent the basic quantities of the dimensional system and the coefficients γ j are defined by an equation.
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Dimensional expansions

Physical Review Letters, 1992
Summary: We propose that the dimension \(D\) be used as a perturbation parameter. The coefficients in the resulting dimensional expansion, a series in powers of \(D\), can be obtained in both quantum-mechanical and field-theoretic models. In this paper the first three terms in the dimensional expansion for the ground-state energy density for a self ...
Bender, Carl M.   +2 more
openaire   +2 more sources

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