Sentence examples for based on group theory from inspiring English sources

A thriving literature quickly developed for the exposition of systematic solutions (based on group theory) of scrambled cubes.

A sharp upper bound dR S,T ⩽4n−8 is known, based on group theory [S. Cleary, J. Taback, Bounding restricted rotation distance, Information Processing Letters 88 (5) (2003) 251 256].

This work introduces a formalism based on group representation theory that can accomplish this task in general.

The paper introduces a general way of describing the symmetry properties of the structure, based on group representation theory (rectangular symmetry group C2v) and principle of general connect, and show how to simplify static structural analysis for quasi-symmetric structures with reflection symmetry only.

An approach base on group theory is described for calculating the eigenvalues and hence natural circular frequencies of vibration of cable nets consisting of two families of high tensioned cables, each cable lying in a vertical plane, and with the projections of cables on the horizontal plane comprising two perpendicular sets of lines.

In conclusion, we have experimentally completed the angular characterization of negative refraction in a 1D PC structure, near the low frequency edge of the fourth photonic bandgap and compared it with current theory and theory based on group velocity developed here.

Based on group theory[17, 18], the phonon modes are classified symmetrically.

Community organizing is based on group participation.

In the constraint design of the presented manipulator, a conical displacement subset is defined based on displacement group theory.

It was set up in the frame of effective polyad models by using algorithms based on advanced group theory algebra to take full account of symmetry properties.

Specifically, we propose a privacy-aware data dissemination scheme for smart grid with abnormal data traceability (PDDS), based on bilinear group theory and non-interactive zero-knowledge proof.