Improved convergence based on linear and non-linear transformations at low and high Weissenberg asymptotic analysis
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Non-newtonian Fluid Mechanics"
DOI: 10.1016/j.jnnfm.2017.05.005
Abstract: Abstract We investigate the accuracy and efficiency of linear and non-linear transformations on the truncated series solutions obtained by asymptotic methods for simple shear and uniaxial elongational viscoelastic flows. The Upper Convected Maxwell, Oldroyd-B, exponential… read more here.
Keywords: weissenberg number; analysis; linear non; non linear ... See more keywords
A hypothetical learning trajectory for conceptualizing matrices as linear transformations
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Mathematical Education in Science and Technology"
DOI: 10.1080/0020739x.2016.1276225
Abstract: ABSTRACT In this paper, we present a hypothetical learning trajectory (HLT) aimed at supporting students in developing flexible ways of reasoning about matrices as linear transformations in the context of introductory linear algebra. In our… read more here.
Keywords: learning trajectory; trajectory conceptualizing; matrices linear; hypothetical learning ... See more keywords
Capturing discrete latent structures: choose LDs over PCs.
Sign Up to like & getrecommendations! Published in 2021 at "Biostatistics"
DOI: 10.1093/biostatistics/kxab030
Abstract: High-dimensional biological data collection across heterogeneous groups of samples has become increasingly common, creating high demand for dimensionality reduction techniques that capture underlying structure of the data. Discovering low-dimensional embeddings that describe the separation of… read more here.
Keywords: discrete latent; reduction; latent structures; latent ... See more keywords
Tangent space symmetries in general relativity and teleparallelism
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DOI: 10.1142/s0219887821400089
Abstract: This paper looks at how changes of coordinates on a pseudo-Riemannian manifold induce homogeneous linear transformations on its tangent spaces. We see that a pseudo-orthonormal frame in a given tangent space is the basis for… read more here.
Keywords: linear transformations; space symmetries; tangent space; basis ... See more keywords
Linear transformations of multivariate calibration models in near infrared spectroscopy: A comparative study
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Near Infrared Spectroscopy"
DOI: 10.1177/0967033517723253
Abstract: It was shown that linear transformations are suitable for use in multivariate calibration in near infrared spectroscopy as data compression tools. Partial Least Squares calibration models were built using spectral data transformed by expansion in… read more here.
Keywords: infrared spectroscopy; near infrared; linear transformations; calibration ... See more keywords