To any loop (L, ·), one can associate several groups, for example its multiplication groups Gleft(L) and Gright(L) and M(L) = 〈Gleft(L), Gright(L)〉, the groups of (left or right) pseudo-automorphisms, group of automorphisms, or the group of collineations of the associated 3-net. Groups, which are isotope invariants are of special interest. For example, the groups Gleft(L), Gright(L) and M(L) ar...

the right ventricle (rv) is a complex structure with abstruse function that reveals important differences when compared to the left ventricle (lv), so it cannot be described as a simple geometric form and achromatic physiology. as an inference from this fact, in the present review, we aim to describe rv structure including the embryology, anatomy, and physiology and present a functional, hemody...

The previous lecture provided axioms for compositional reasoning about deterministic sequential programs. All the axioms compositionally reduce the truth of a postcondition of a more complex program to a logical combination of postconditions of simpler programs. All axioms? Well, all the axioms but one: those about loops. But putting loops aside for the moment, these axioms completely tell us w...

We study the structure of 107 bright sigmoids using full-resolution (2.5 pixels) images from the Yohkoh Soft X-Ray Telescope (SXT) obtained between 1991 December and 2001 December. We find that none of these sigmoids are made of single loops of S or inverse-S shape; all comprise a pattern of multiple loops. We also find that all S-shaped sigmoids are made of right-bearing loops and all inverse-...

We present an algorithm for producing a seamless animated loop from single image. The detects periodic structures, such as the windows of building or steps staircase, and generates non-trivial displacement vector field that maps each segment structure onto neighboring along user- auto-selected main direction motion. This is used, together with suitable temporal spatial smoothing, to warp image ...