We give an informal overview of the Kadison–Singer extension problem with emphasis on its initial connections to Dirac’s formulation of quantum mechanics. Let H be an infinite dimensional separable Hilbert space, and B (H) the algebra of all bounded operators in H. In the language of operator algebras, the Kadison–Singer problem asks whether or not for a given MASA D in B (H), every pure state ...

Myosin VI challenges the prevailing theory of how myosin motors move on actin: the lever arm hypothesis. While the reverse directionality and large powerstroke of myosin VI can be attributed to unusual properties of a subdomain of the motor (converter with a unique insert), these adaptations cannot account for the large step size on actin. Either the lever arm hypothesis needs modification, or ...

The paper presents novel ideas on spatial reasoning by considering shape and size of spatial entities and focuses on extension of conventional models: Cone-Shaped and Minimum Boundary Rectangle (MBR). Firstly, it goes on the use of how well MBR features fixed to cone-shaped model considering the relative extension of the spatial entities. This suggests the further possibility and the quality of...

The present research is conducted to find out the services and facilities of tobacco companies in promotion of tobacco crop in Malakand division of Khyber Pakhtunkhwa, Pakistan. A multi-stage sampling technique applied for selection sample size. In this method, 135 tobacco growers were selected from fifteen villages of tobacco growers. The principle researcher interviewed selected respondents f...

This study examined the accuracy between extension professionals and farmers regarding their perceptions of privatization and commercialization of agricultural extension services. The study was carried out in Delta State, Nigeria and it had a sample size of 224 respondents comprising of 134 extension professionals of the Delta State Agricultural Programme (DTADP) and 90 farmers that were random...

In this paper we establish the space-like strong unique continuation for nonlocal equations of type (∂t−Δ)su=Vu, 0<s<1. The proof our main result, Theorem 1.1, is achieved via a conditional elliptic doubling property solutions to appropriate extension problem, followed by blowup analysis.

FKBP38 regulates apoptosis through unique interactions with multiple regulators including Bcl-2. Interestingly, the peptidylprolyl isomerase activity of FKBP38 is only detectable when it binds to calcium-saturated calmodulin (CaM/Ca(2+)). This, in turn, permits the formation of a complex with Bcl-2. FKBP38 thereby provides an important link between isomerase activity and apoptotic pathways. Her...