Sentence examples for variety of dimensional from inspiring English sources

The extraction of a correct reduced basis has been the goal of a variety of dimensional reduction methods.

Nonlinear dimensionality reduction is a challenging problem encountered in a variety of high dimensional data analysis.

Nonlinear dimensionality reduction is a challenging problem encountered in a variety of high dimensional data analysis, including machine learning, pattern recognition, scientific visualization, and neural computation.

For a variety of one dimensional applications similar to the one in this paper see [27 30].

This paper describes an unconventional, yet simple method to program sheets of shape memory polymer into a variety of two dimensional (2D) structures.

Droplet epitaxy [10, 11] is a flexible growth method, based on Molecular Beam Epitaxy (MBE), which allows for the fabrication of a large variety of three dimensional nanostructures with different geometries, such as quantum dots [12], quantum dot molecules [13], quantum rings [8, 14] and coupled disk-ring structures [15].

A variety of low-dimensional nanostructures such as zero-dimensional (0D) nanoparticles; one-dimensional (1D) nanowires, nanotubes, nanorods, and nanobelts; and two-dimensional (2D) nanosheets are investigated extensively due to their novel and fascinating properties compared to their bulk counterparts [1 3].

Their use as ligands towards either fully hydrated metal ions or coordinatively unsaturated preformed species, to afford a wide variety of low-dimensional metal assemblies whose nuclearity, dimensionality and magnetic properties can be tuned, is also reviewed.

The result is that not only can carbon atoms combine with one another indefinitely to give compounds of extremely high molecular weight, but the molecules formed can exist in an infinite variety of three-dimensional structures.

The idea for the scarf bearing a QR Code (that's a particular variety of two-dimensional bar code) began with Roger Fischer, the chief executive of Kaywa, a firm based in Zurich that offers a variety of services related to the convergence of the Internet and mobile phones.

Gold particles incorporated into DNA strands drive the formation of a variety of three-dimensional spiral architectures.