We show that if the image of a Legendrian submanifold under contact homeomorphism (i.e. is $C^0$-limit contactomorphisms) smooth then it Legendrian, assuming only positive local lower bounds on conformal factors approximating contactomorphisms. More generally analogous result holds for coisotropic submanifolds in sense arXiv:1306.6367. This version Humili\`ere-Leclercq-Seyfaddini rigidity theor...

In this paper, we investigate the predictive power of different prosodic factorization schemes with respect to pitch movement. We will use this to propose an extension of a standard diphone database with diphones that have been recorded in different prosodic contexts. The goal of this research is to reduce the amount of pitch modification required, thereby improving the segmental quality of the...

Tourism in the third millennium has become one of the most thriving economic activities around the world, and many developmental planners and policymakers refer to tourism as the main pillar for sustainable development. Tourism is considered as one of the most complicated occupations in numerous countries worldwide and as a multi-aspect activity possessing various positive effects and utilizati...

I extend the theory on factor models by incorporating “local” factors into the model. Local factors affect a decreasing fraction of the observed variables. This implies a continuum of eigenvalues of the covariance matrix, as is commonly observed in applications. I derive conditions under which local factors will be estimated consistently using the common principal component estimator. I further...