First, the method is extended by the application of time reversal symmetry operator.
If ρ1 ρ2... ρ i is a valid i-sequence of reversals for a permutation π, then π ∘ ρ1 ρ2... ρ i denotes the consecutive application of the reversals ρ1, ρ2,... ρ i in the order in which they appear.
If s=ρ1ρ2…ρ i is a sequence of reversals for a permutation π, we say that s sorts π into π T if the result of the consecutive application of the reversals ρ1, ρ2, …ρ i on π is π T. The length of a shortest sequence sorting π into π T is called the reversal distance of π and π T, denoted by d π, π T ).
"This is a very clever application of time-reversal acoustics," said William Kuperman, a professor at the University of California at San Diego and president of the Acoustical Society of America.
When dealing with dissipative media, the application of time-reversal procedure allows for the recovery of both the shape and the location of the source of sound even if the source amplitude is damped due to the viscous energy loss.
In our study, we quantified the firing behavior of PCs in the flocculus of several cell-specific mutant mice before and after application of phase-reversal training, a long term adaptation paradigm aimed at shifting the phase of the eye movements during the VOR (Fig. 1b).
The structure is modeled using truss and beam elements, and snapthrough behavior is utilized to generate large deformation under small input displacement and recover the initial shape by application of a small reversal force.
Another advantage of this method is that reloading on the specimen can be prevented for the purpose of post-test observation, with the application of the stress reversal Hopkinson technique (Nemat-Nasser etal., 1991).
Let ΔVec denote the change in the sum of the lengths of all the vectors in V π due to the application of a signed reversal ρ, that is, ΔVec=Vec−Vec.
The application of periodic polarity reversals is proposed to improve these results.
