Sentence examples for arbitrary dimension from inspiring English sources

The idea of differentiable functions on the sphere or torus was generalized to differentiable functions on manifolds (topological spaces of arbitrary dimension).

They use urban palimpsests -- street maps, vanished landmarks -- not to assert claims of historical authenticity but rather to expose the extreme artificiality, the arbitrary dimension, of building on the past.

On this base, conjectures were made and a general theory produced, first by Poincaré and then by the American engineer-turned-mathematician Solomon Lefschetz, concerning the nature of manifolds of arbitrary dimension.

Let's also say the square being divided has sides of length 15 units — a rather arbitrary dimension that will create consistency if our conversation this week turns to lengths and widths.

It estimates the shortest path for motion on simplicial complex of an arbitrary dimension.

This allows us to compare its performance for Narbitrary dimension.

This was later extended to arbitrary dimension by Cheng and Yau in [2].

A new method is presented for numerically capturing a moving interface of arbitrary dimension and codimension.

This paper goes a step forward and discusses the generalization of this idea to deductive systems of arbitrary dimension.

We demonstrate algorithms on two-dimensional image data but all results hold for signals of arbitrary dimension.

This was done much later, first by Hadwiger [7] for n = 3, and then by Dinghas [8] for arbitrary dimension.