31. The aperiodic tiling pattern is based on the pinwheel tiling developed by John Conway and Charles Radin. 32. With respect to tilings the term aperiodic was sometimes used synonymously with the term non-periodic. 33. It can be proved that primitive matrices are the same as irreducible aperiodic non-negative matrices. 34. Let the aperiodic autocorrelation function of the sequence "'x "'be defined by 35. Let " X n " be an aperiodic recurrent Harris chain with stationary distribution ?. 36. Whereas 1 Hz is 1 cycle per second, 1 Bq is 1 aperiodic radionuclide event per second. 37. The discovery of these aperiodic forms in nature has produced a paradigm shift in the fields of crystallography. 38. Attempts to Localize long wavelength phonons by aperiodic superlattices or composite superlattices with different periodicities have been made. 39. Block and Weinberger used homological methods to construct aperiodic sets of tiles for all non-amenable manifolds. 40. Sometimes the term described-implicitly or explicitly-a tiling generated by an aperiodic set of prototiles.
