Sentence examples similar to demonstrating properties of higher dimensions from inspiring English sources

Hall P, 2005 [ 8] and [ 9] studied the geometric properties of high-dimension and low-sample-size data.

J ingeniously generalizes this scheme to arrays of higher dimensions.

Unlike with LSA and related techniques, were the low-dimensionality of the map results from manual truncation of higher dimensions [5], in our case this property emerged naturally.

Next, he checked that this intrinsic property of curvature persisted in higher dimensions, which it does.

We demonstrate a prototype interface for gridded data, extending the contour spectrum interface of Bajaj, Pascucci and Schikore to higher dimensions and to topological properties that are not decomposable.

Examples are constructed in higher dimensions and the Fredholm properties of certain nonvariational layer potentials discussed.

Scott Roach, a high school teacher in Glasgow, Ky., was demonstrating the properties of natural gas on May 17 when he set off the sprinklers at Glasgow High School, the Glasgow Daily Times reported.

This paper is concerned with the generalization of the homogeneous approximation property (HAP) for a continuous shearlet transform to higher dimensions.

The process of extrapolating each shape up one dimension is what he means by "generalizing to higher dimensions".

The process of extrapolating each shape up one dimension is what he means by "generalising to higher dimensions".

Moreover, the two-piece property was generalized to higher dimensions in [13].