We previously described the representation of protein 3D structures in spherical coordinates (rho, phi, theta) and two of its applications: separation of the outer layer (OL) from the inner core (IC) of proteins, and assessment of protein surface protrusions and invaginations (Reyes, V.M., 2011&2009). Here we present results demonstrating the performance success of the FORTRAN 77 and 90 program...

In humans, theta phase (4-8 Hz) synchronization observed on electroencephalography (EEG) plays an important role in the manipulation of mental representations during working memory (WM) tasks; fronto-temporal synchronization is involved in auditory-verbal WM tasks and fronto-parietal synchronization is involved in visual WM tasks. However, whether or not theta phase synchronization is able to s...

In this thesis I develop a syntactic representation of control that is PRO-free. I implement a mechanism of theta-role assignment that uses theta-role percolation (Neeleman and Van de Koot (2002)), which enables the apparent subject properties of controlled infinitives to be reinterpreted as properties associated with an external theta-role, rather than a subject. I first analyse Obligatory Con...

In this paper we classify real trivectors in dimension 9. The corresponding classification over the field C of complex numbers was obtained by Vinberg and Elashvili 1978. One main tools used for their construction representation SL(9,C) on space C9 as a theta-representation to Z/3Z-grading simple Lie algebra type E8. This divides into three groups: nilpotent, semisimple, mixed trivectors. Our f...

We study a conjectural formula for the maximal elements in wavefront set associated with theta representation of covering group over p-adic fields. In particular, it is shown that agrees existing work literature various families groups. also recapitulate results an analogous archimedean case, which motivated setting.

Pattern matching is a widely used technique in functional languages, especially those in the ML and Haskell traditions. Although pattern matching is typically not built into languages in the Lisp tradition, it is often available via libraries built with macros. We present a sophisticated pattern matcher for Racket, which extends the language using macros, supports novel and widelyuseful pattern...

The learning mechanism in the hippocampus has almost universally been assumed to be Hebbian in nature, where individual neurons in an engram join together with synaptic weight increases to support facilitated recall of memories later. However, it is also widely known that Hebbian learning mechanisms impose significant capacity constraints, and are generally less computationally powerful than le...

amonge other things we give sufficient and necessary conditions for the lau product of banachalgebras to be biflat or biprojective.

We prove that k-th singular cohomology group of the complement of the theta divisor in a hyperelliptic Jacobian is isomorphic to the k-th fundamental representation of the symplectic group Sp(2g,C). This is one of the conjectures in the paper [11].

We study the splitting properties of the Verlinde bundles over elliptic curves. Our methods rely on the explicit description of the moduli space of semistable vector bundles on elliptic curves, and on the analysis of the symmetric powers of the Schrödinger representation of the Theta group.