Dynamical quantum phase transitions (DQPTs) are topologically characterized in quench dynamics topological systems. In this paper, we study Loschmidt amplitudes and DQPTs quenches mirror-symmetric phases. Based on the classification of insulators, show that mirror symmetry creates symmetry-protected DQPTs. If is present, robust can occur quenches, even high-dimensional time-reversal invariant T...

We present a system that detects 3D mirror-symmetric objects in images and then reconstructs their visible symmetric parts. Our detection stage is based on matching mirror symmetric feature points and descriptors and then estimating the symmetry direction using RANSAC. We enhance this step by augmenting feature descriptors with their affinedeformed versions and matching these extended sets of d...

We investigate point arrangements $v_i\in\mathbb R^d,i\in \{1,...,n \}$ with certain prescribed symmetries. The arrangement space of $v$ is the column span matrix in which $v_i$ are rows. characterize properties terms space, e.g. we whether an possesses symmetries or it can be continuously deformed into another while preserving symmetry process. show that a symmetric its mirror image depends no...

We calculate the autocorrelation functions (or shifted moments) of the characteristic polynomials of matrices drawn uniformly with respect to Haar measure from the groups U(N), O(2N) and USp(2N). In each case the result can be expressed in three equivalent forms: as a determinant sum (and hence in terms of symmetric polynomials), as a combinatorial sum, and as a multiple contour integral. These...

OBJECTIVE To delineate the changes in corticospinal excitability when individuals are asked to exercise their hand using observation, motor imagery, voluntary exercise, and exercise with a mirror. METHOD The participants consisted of 30 healthy subjects and 30 stroke patients. In healthy subjects, the amplitudes and latencies of motor evoked potential (MEP) were obtained using seven condition...

in this paper for a given prescribed ritz values that satisfy in the some special conditions, we nd a symmetric nonnegative matrix, such that the given set be its ritz values.