Sentence examples for for two dimensions from inspiring English sources

But it remained unclear whether what was true for two dimensions was also true for three.

This work is discussing RT approximation for two dimensions initial boundary value problem for parabolic PDE.

Although the representation is developed here for two dimensions, it can be generalized in a natural way to three dimensions.

The method combines a Fourier method for two dimensions and a variant of Wachspress's method in the third dimension.

"The theory only really held true for two dimensions, but in actual fact the crystal grows in a three-dimensional space and the small surface fluctuations, like waves, stabilise the crystal," said Goerbig.

Because theoretical results for three-dimensional fronts are difficult to obtain, we propose an empirical rule for the three-dimensional case by making an analogy to the rules for two dimensions.

From the risk diagram, we find that the failure risk of the cushion for two dimension of square changing between moderate risk to major risk.

Finally, Grigori Perelman proved the conjecture for three dimensions in 2006.

For three dimensions, we can summarize the whole algorithm as follows.

The presently implemented code is two-dimensional, but the method is directly applicable for three dimensions.

It has been developed by Givoli and Keller [1, 2] for two and three dimensions.