The replication initiator protein pi of plasmid R6K binds seven 22 bp direct repeats (DR) in the gamma origin. The pi protein also binds to an inverted repeat (IR) in the operator of its own gene, pir, which lies outside the gamma origin sequences. A genetic system was devised to select for pi protein mutants which discriminate between IR and DR (York et al., Gene (Amst.) 116, 7-12, 1992; York ...

After H\"older proved his classical theorem about the Gamma function, there has been a whole bunch of results showing that solutions to linear difference equations tend be hypertranscendental i.e. they cannot solution an algebraic differential equation). In this paper, we obtain first complete for general associated with shift operator $x\mapsto x+h$ ($h\in\mathbb{C}^*$), $q$-difference qx$ ($q...

Both the robust INTEGRAL 511 keV gamma-ray line and the recent tentative hint of the 135GeV gamma-ray line from Fermi-LAT have similar signal morphologies, and may be produced from the same dark matter annihilation. Motivated by this observation, we construct a dark matter model to explain both signals and to accommodate the two required annihilation cross sections that are different by more th...

We consider the minimal see-saw extension of Standard Model with two right-handed singlet fermions $N_{1,2}$ mass at GeV scale, augmented by an effective dipole operator between sterile states. firstly review current bounds on this interaction from fixed-target and collider experiments as well astrophysical cosmological observations. then highlight prospects for testing decay $N_2 \to N_1 \gamm...

In this paper we study the Roe index of signature operator manifolds bounded geometry. Our main result is proof uniform homotopy invariance index. other words show that, given an orientation-preserving equivalence $$f:(M,g) \longrightarrow (N,h)$$ between two oriented geometry, $$f_\star (Ind_{Roe}D_M) = Ind_{Roe}(D_N)$$ . Moreover also that same holds if a group $$\Gamma $$ acts on M and N by ...

Highly purified preparations of the TyrR protein of Haemophilus influenzae Rd undergo specific and limited proteolytic cleavage during storage at 4 degreesC to generate two fragments of 28 and 8 kDa. Under nondenaturing conditions, the two fragments remain tightly associated. Nicked TyrR is identical to full-length TyrR in its operator binding characteristics. The 8-kDa fragment containing amin...

Let be a locally compact non?abelian group and be a compact subgroup of also let be a ?invariant measure on the homogeneous space . In this article, we extend the linear operator as a bounded surjective linear operator for all ?spaces with . As an application of this extension, we show that each frame for determines a frame for and each frame for arises from a frame in via...

The QED initial state corrections are calculated to the forward-backward asymmetry for $e^+e^- \rightarrow \gamma^*/{Z^{0}}^*$ in leading logarithmic approximation $O(\alpha^6 L^6)$ extending known up $O(\alpha^2 L^2)$ analytic form. We use method of massive on-shell operator matrix elements and present radiators both Mellin-$N$ momentum fraction $z$-space. Numerical results presented various e...

The QED initial state corrections are calculated to the forward-backward asymmetry for $e^+e^- \rightarrow \gamma^*/{Z^{0}}^*$ in leading logarithmic approximation $O(\alpha^6 L^6)$ extending known up $O(\alpha^2 L^2)$ analytic form. We use method of massive on-shell operator matrix elements and present radiators both Mellin-$N$ momentum fraction $z$-space. Numerical results presented various e...