Sentence examples for of higher dimensions from inspiring English sources

J ingeniously generalizes this scheme to arrays of higher dimensions.

Others have come up with ideas about new physics that modify special relativity by taking the unexpected effects of higher dimensions into account.

Hence, the next steps will be to develop appropriate compensation schemes, to test quantum states of higher dimensions, for example with pure OAM encoding, and distribute high-dimensionally entangled photons for large quantum networks.

In this context it is shown, that, particularly for problems of higher dimensions, approximation techniques utilizing linearization may be prone to considerable errors.

As for Horgan's bête noire of physics -- higher dimensions, or what he refers to as "hyperspace theories" -- he writes: "But pursuers of this 'theory of everything' have wandered into fantasy realms of higher dimensions with little or no empirical connection to our reality".

Although similar algorithms have been proposed for the matrix case, the case of higher dimensions gives rise to a number of new challenges and requires a different paradigm for data distribution.

Extensions of MSD to highly constrained design problems of higher dimension is also described.

This resulted in a significant pattern in the scales of higher dimension.

These algorithms can be used for systems of higher dimension and on longer time horizons than the existing methods.

The natural problem was to see how far Riemann's ideas could be applied to the study of spaces of higher dimension.

In principle, the design method of the control pulse sequence proposed can be generalized to use in the quantum systems of higher dimension.