The sigma factor RpoH ( ) is the key regulator of the heat shock response in Escherichia coli. Many structural and functional properties of the sigma factor are poorly understood. To gain further insight into RpoH regions that are either important or dispensable for its cellular activity, we generated a collection of tetrapeptide insertion variants by a recently established in vitro linker inse...

We give the best possible upper bound on the number of exceptional values and totally ramified value number of the hyperbolic Gauss map for pseudo-algebraic Bryant surfaces and some partial results on the Osserman problem for algebraic Bryant surfaces. Moreover, we study the value distribution of the hyperbolic Gauss map for complete constant mean curvature one faces in de Sitter three-space.

Given a Hamiltonian system $ (M,\omega, G,\mu) where $(M,\omega)$ is symplectic manifold, $G$ compact connected Lie group acting on with moment map \mu:M \rightarrow\mathfrak{g}^{*}$, then one may construct the quotient $(M//G, \omega_{red})$ $M//G := \mu^{-1}(0)/G$. Kirwan used norm-square of map, $|\mu|^2$, as G-equivariant Morse function $M$ to derive formulas for rational Betti numbers $M//...

We prove the existence of critical points vortex type Hamiltonians \[ H(p_1,\ldots, p_N) = \sum_{{i,j=1}\atop{i\ne j}} ^N \Gamma_i\Gamma_jG(p_i,p_j)+\Psi(p_1,\dots,p_N) \] on a closed Riemannian surface $(\Sigma,g)$ which is not homeomorphic to sphere or projective plane. Here $G$ denotes Green function Laplace-Beltrami operator in $\Sigma$, $\Psi\colon \Sigma^N\to\mathbb{R}$ may be any class $...

abstract The Virasoro master equation describes a large set of conformal field theories known as the affine-Virasoro constructions, in the operator algebra (affine Lie algebra) of the WZW model, while the Einstein equations of the general non-linear sigma model describe another large set of conformal field theories. This talk summarizes recent work which unifies these two sets of conformal fiel...

N = 2 gauged non-linear sigma models are examined classically and their D-terms are solved. The variation of the classical Lagrangian in order to solve for the auxiliary fields is identical to integrating these modes functionally. The latter is performed for the general quotient. The D-term solution is equivalent to solving, a coupled set of algebraic equations.

For a hyperelliptic curve of genus g, it is well known that the symmetric products of g points on the curve are expressed in terms of their Abel–Jacobi image by the hyperelliptic sigma function (Jacobi inversion formulae). Matsutani and Previato gave a natural generalization of the formulae to the more general algebraic curves defined by y = f(x), which are special cases of (n, s) curves, and d...

The purpose of this note is to build upon work Booker--Thorne and Righetti concerning zeros algebraic combinations $L$-functions. Namely, we show that two generic functions from a wide class Euler products have non-coincident in the half-plane $\sigma>1$.

lineaments are the most important phenomena of geological exploration of hydrocarbon reservoirs . concepts in order to map the contours of land need so much time and money. one of the most famous methods in lineaments extraction is satellite image processing. in this paper, an overview of lineament extraction methods and a new method based on canny edge detection algorithm is raised. the result...