Classically, a Tychonoff space is called strongly 0-dimensional if its Stone-Čech compactification is 0-dimensional, and given the familiar relationship between spaces and frames it is then natural to call a completely regular frame strongly 0-dimensional if its compact completely regular coreflection is 0-dimensional (meaning: is generated by its complemented elements). Indeed, it is then seen...

The paper presents a simple yet robust measure of image quality in terms of global (camera) blur. It is based on histogram computation of non-zero DCT coe cients. The technique is directly applicable to images and video frames in compressed (MPEG or JPEG) domain and to all types of MPEG frames (I-, Por Bframes). The resulting quality measure is proved to be in concordance with subjective testin...

finite normalized tight frames are interesting because they provide decompositionsin applications and some physical interpretations. in this article,we give a recursive method for constructing them.

We study two dimensional path integral Lefschetz thimbles, i.e. the possible integration contours. Specifically, in examples of O(N) and $$\mathbb{C}{{\mathbb{P}}^{{N - 1}}}$$ models, we find a large class complex critical points sigma model actions which are relevant for theory finite volume at temperature, with various chemical potentials corresponding to symmetries models. In this paper disc...

When Sarah Glaz, Bill Heinzer and the junior author of this article approached Robert with the idea of editing a book dedicated to his work, we asked him to give us a list of his work and to comment on it to the extent he felt comfortable. As usual, he was extremely thorough in his response. When the authors of this article began to consider what topic we wanted to write about, we were impresse...