We propose an iterative algorithm for solving the reflexive solution of the quaternion matrix equation AXB + CXHD = F. When the matrix equation is consistent over reflexive matrix X, a reflexive solution can be obtained within finite iteration steps in the absence of roundoff errors. By the proposed iterative algorithm, the least Frobenius norm reflexive solution of the matrix equation can be d...

We introduce reflexive polytopes of index l as a natural generalisation of the notion of a reflexive polytope of index 1. These l-reflexive polytopes also appear as dual pairs. In dimension two we show that they arise from reflexive polygons via a change of the underlying lattice. This allows us to efficiently classify all isomorphism classes of l-reflexive polygons up to index 200. As another ...

The present study examines the uses of the reflexive marker in Lusaamia, a Bantu language of Kenya. In addition to being a true reflexive, the reflexive verbal prefix is also used in indirect reflexive constructions, as a middle voice / stative marker, and also to indicate when an action is being done for no particular purpose (when used in conjunction with a causative marker). I show that unac...

Abstract % We show that codimension one distributions with at most isolated singularities on certain smooth projective threefolds Picard rank have stable tangent sheaves. The ideas in the proof of this fact are then applied to characterization irreducible components moduli space 2 reflexive sheaves $\p3$, and construction prescribed Chern classes general threefolds. also prove if $\sG$ is a sub...

in this paper, we introduce the concepts of $2$-isometry, collinearity, $2$%-lipschitz mapping in $2$-fuzzy $2$-normed linear spaces. also, we give anew generalization of the mazur-ulam theorem when $x$ is a $2$-fuzzy $2$%-normed linear space or $im (x)$ is a fuzzy $2$-normed linear space, thatis, the mazur-ulam theorem holds, when the $2$-isometry mapped to a $2$%-fuzzy $2$-normed linear space...

We conducted two eye-tracking experiments investigating the processing of the Mandarin reflexive ziji in order to tease apart structurally constrained accounts from standard cue-based accounts of memory retrieval. In both experiments, we tested whether structurally inaccessible distractors that fulfill the animacy requirement of ziji influence processing times at the reflexive. In Experiment 1,...

Answering an old problem in nonlinear theory, we show that c0 cannot be coarsely or uniformly embedded into a reflexive Banach space, but that any stable metric space can be coarsely and uniformly embedded into a reflexive space. We also show that certain quasi-reflexive spaces (such as the James space) also cannot be coarsely embedded into a reflexive space and that the unit ball of these spac...