for a symmetric group $g:=sym(n)$ and a conjugacy class $mathcal{x}$ of involutions in $g$, it is known that if the class of involutions does not have a unique fixed point, then - with a few small exceptions - given two elements $a,x in mathcal{x}$, either $angbrac{a,x}$ is isomorphic to the dihedral group $d_{8}$, or there is a further element $y in mathcal{x}$ such that $angbrac{a,y} cong ang...

P roteins require correct folding to be functional, and this is achieved primarily with the aid of chaperones. Because protein folding is an extremely intricate and error-prone process , it is highly susceptible to failure in the presence of stress. Misfolded proteins are not only nonfunctional but they also tend to form a large mass called a preamyloid oligomer (PAO). Formation of PAO is thoug...

Targeting the inner nuclear membrane roteins destined for the inner nuclear membrane (INM) start out in the peripheral ER. Diffusion from the ER will get them to the contiguous outer nuclear membrane (ONM), but the next step could involve either vesicular transport, short-lived fusions between INM and ONM, or movement along the lipid bilayers surrounding nuclear pores. On page 1051, Ohba et al....

JCB • VOLUME 179 • NUMBER 1 • 2007 4 P roteins harbor regions with split personalities, as suggested by fi ndings from Ying Zhang, Boguslaw Stec, and Adam Godzik (Burnham Institute, La Jolla, CA). Straddling the edge of order and disorder, these dual personality (DP) fragments might be common regulation sites. Ordered parts of protein structures can be revealed by crystallography, while disorde...

let $g$ be a finite $p$-soluble group‎, ‎and $p$ a sylow $p$-sub-group of $g$‎. ‎it is proved‎ ‎that if all elements of $p$ of order $p$ (or of order ${}leq 4$ for $p=2$) are‎ ‎contained in the $k$-th term of the upper central series of $p$‎, ‎then the $p$-length of‎ ‎$g$ is at most $2m+1$‎, ‎where $m$ is the greatest integer such that‎ $p^m-p^{m-1}leq k$‎, ‎and the exponent of the image of $p$...

Let K be a totally real number field and consider Fermat-type equation A p + B b q = C c r $Aa^p+Bb^q=Cc^r$ over K. We call the triple of exponents ( , ) $(p,q,r)$ signature equation. prove various results concerning solutions to Fermat with 2 $(p,p,2)$ 3 $(p,p,3)$ using method involving modularity, level lowering image inertia comparison. These generalize extend recent work I?ik, Kara Özman. F...

In this paper, we establish a lower bound on the number of inducing simple n-gons in grid-like arrangements of lines. We also show that the complexity associated with counting the number of inducing n-gons in an arrangement of collinear segments is #P-complete.

We investigate the power of non-deterministic circuits over restricted sets of base gates. We note that the power of non-deterministic circuits exhibit a dichotomy, in the following sense: For weak enough bases, non-deterministic circuits are no more powerful than deterministic circuits, and for the remaining bases, non-deterministic circuits are super polynomial more efficient than determinist...