text:
\section{Introduction and main results}
The independence on doping of the amount of softening of the optical phonon
modes measured by neutrons in high-Tc cuprates \cite{Qee,pintschovius},
concomitant with the linear doping-dependence of the modes intensity, points
to a local on-stripe character of the softening effect \cite{alan}. The latter
effect may arise due to coupling of the in-plane optical Cu-O stertching modes
(LO) to the holes populating stripes. In this paper, in order to explore the
effect theoretically, the stripes are considered as one-dimensional (1D)
``metallic rivers of doped holes" \cite{Kivelson}. Spacially localized
vibrations are found, that split below the bare phonon band in the
stripe-phase,  as was proposed earlier \cite{sm}. The source of
localization of the lattice
vibrations is the  phonon self-energy, significantly space-modulated in
the presence of the on-stripe holes. It is shown that this self-energy plays a
role of attractive localizing potential for the phonon quasi-particles,
provided that its real part is negative and has sufficiently high absolute
value. The latter depends on the wave-vector in the direction along the
stripes. In this direction the translational symmetry of the crystal lattice
is preserved.
It is demonstrated here that phonon self-energy, calculated from the standard
Feynman diagram Fig.\ref{loopa}, cannot lead to the peculiar flat
momentum dependence of the optical mode softening measured by neutron
scattering in La-based high-T$_c$ cuprates, see filled circles in
Fig.\ref{comparison}. As it is
apparent from Fig.\ref{comparison}, a rather poor agreement with experimental
data is obtained for the case of the holes moving along 1D static stripes
(dash-dotted line), as well as for the case of the holes moving
three(two)-dimensionally (dotted line). Miraculously, inclusion into phonon
self-energy of the overdamped long wavelength stripe-meandering propagator,
see Fig. \ref{loopb}, leads to impressive coincidence of the theoretical
phonon softening curve (solid line) in  Fig. \ref{comparison}, with the
experimental data  (filled circles). Besides the flat momentum dependence of
the modes softening, the co-centering of the experimental and
theoretical curves is also important. Position of zero along the $Q$-axis
of the theoretical curve depends on the Fermi momentum of the on-stripe holes.
This leads to important observation that the theoretical phonon dispersion
curve coincides with the experimental one, provided that the underlying 1D
``Fermi momentum'' along stripes is twice the value predicted in the
weak-coupling scheme. This discrepancy may be tolerated if one assumes the
holes inside stripes to be spinless. Incidentally, the energy-integrated
ARPES data \cite{shen} exhibit flat parallel pieces enclosing high spectral
weight region in the Brillouin zone (the ``holy cross'' picture), that
resemble 1D ``Fermi surface'' of the on-stripe holes, but with Fermi momentum
value corresponding to the weak-coupling scheme. This may indicate that
``spin-dressed'' holes rather than spinless are involved in the ARPES
measurements.

Section II contains derivation of the  dynamic elasticity equations for the 2D
plane with periodic stripes. Section III uses straightforward mapping of the
elasticity equations onto Schr\"odinger equations for a quantum particle in
the periodic  Dirac's haircomb potential. Localized solutions describe
``softened phonon'' modes. In Sections IV and V different dependences of
the phonon
self-energy on the wave vector along the stripes are
calculated for static and meandering 1D stripes respectively. Section VI
contains description of the model parameters found by fitting the theoretical
curves to experimental data, and concludes with discussion of
the main results briefly reviewed above. Some lengthy analytical
expressions are located in the Appendices \ref{App2} and \ref{App1}.

\section{2D lattice dynamics in the stripe-phase}
Elastic behavior of 2D quadratic lattice (modeling CuO planes in cuprates)
is considered in the continuum media approximation.
Corresponding expression for the elastic
energy density reads (see e.g. \cite{Kleinert}):

\begin{eqnarray}
\varepsilon(\vec{r})=\frac{1}{2}(2\mu+\lambda)\displaystyle(u_{11}^2+u_{22}^2)+
\lambda u_{11}u_{22}+2\mu u_{12}^2.
\label{energy}
\end{eqnarray}

\noindent
here $\lambda$ is Lam\'e constant; $\mu$ is shear modulus.
The strain tensor components $u_{ij}=$, $i,j=1,2$ are :

\begin{eqnarray}
u_{ij}=\displaystyle\frac{1}{2}(\partial_iu_j+\partial_ju_i+
\partial_iu_l\partial_ju_l)
\label{strain}
\end{eqnarray}

\noindent
where $u_x,\;u_y$ are the in-plane local displacements
of the lattice; $\partial_i\equiv \partial/\partial x_i$ and coordinates $x_i$
belong to the plane $\{x,y\}$.

\noindent
Assume that stripes are oriented along $y$-axis in the $\{x,y\}$ plane. Hence,
in the static picture they form a periodic array with a period $b\sim 1/x_h$
along the
$x$-axis, where $x_h$ is the concentration of doped holes in the Cu-O plane
counted from the insulating state $x_h=0$. Then, translation invariance along
$y$-axis is preserved and therefore vibrations keep $y$-component of
quasi momentum $Q$.
Corresponding dynamic elasticity
equations in the mixed momentum-coordinate representation take the form:

\begin{eqnarray}
&&\displaystyle \left[\rho\omega^2-\mu Q^2+(\mu+K)\partial^2_{xx}-
\pi_1(Q,\omega)p(x)\right]u_x+
iKq\partial_x u_y=0\nonumber\\
&&\displaystyle \left[\rho\omega^2-(\mu+K)Q^2+\mu\partial^2_{xx}-
\pi_2(Q,\omega)p(x)\right]u_y+
iKq\partial_x u_x=0
\label{dynamo}
\end{eqnarray}

\noindent where $\rho$ is the lattice density of mass and $K=\lambda+\mu$ is
the lattice compression modulus in the absence of doped holes. Here $\omega$
is brought by the Fourier transformation along the time axis $t$:

\begin{eqnarray}
 u_x=u_x(x)\exp\{iQy-i\omega t\}; u_y=u_y(x)\exp\{iQy-i\omega t\},
\label{vibra}
\end{eqnarray}

\noindent
The $Q,\omega,x$-dependent phonon self-energy is included in the
dynamics equations (\ref{dynamo}) in the simplest possible way via the terms
$\pi_i(Q,\omega)p(x)$. Here $Q,\omega$-dependence is due to hole motion along
stripes inside the ``metallic rivers of charge'' separating antiphased
antiferromagnetic domains in the ``canonical'' stripe phase pattern
\cite{Zaanen,Kivelson}. A model simplifies the general tensorial self-energy
$\pi_{ij}(Q,\omega,x)$ with a diagonal matrix, maintaining essential physics
of phonon localization, but avoiding intractable algebra:

\begin{eqnarray}
\pi_{xy}=0;\;\pi_{xx}=\pi_1(Q,\omega)p(x),\;\pi_{yy}=\pi_2(Q,\omega)p(x);
\label{symms}
\end{eqnarray}

\noindent where a ``tight binding'' approximation is used to mimic periodic
$x$-dependence in the direction perpendicular to the stripes:

\begin{eqnarray}
p(x)=\sum_n\delta(x+bn)
\label{dirac}
\end{eqnarray}

\noindent Here $n$ enumerates the stripes and $b$ is the interstripe period.
This approximation looks reasonable for underdoped cuprates, since according
to e.g. \cite{tranq} the number of doped holes/per double-period $2a$ along
a stripe
is fixed to one, and therefore the interstripe period $b=a/2x_h\gg a$ in the
low hole-doping limit $x_h\ll 1$ for a square lattice. In the limit of
vanishing
electron-phonon coupling $\pi_{i}(Q,\omega)\rightarrow 0$, the system
(\ref{dynamo}) smoothly
transforms into a standard system of dynamic equations for 2D isotropic
elastic media that possesses two phonon branches: longitudinal and transverse
\cite{Kleinert}, provided that the following condition is fulfilled:

\begin{eqnarray}
\pi_1(Q,\omega)=\pi_2(Q,\omega)(\mu+K)/\mu\equiv \pi(Q,\omega)\,.
\label{symms12}
\end{eqnarray}

\noindent Straightforward calculations show that imaginary parts of
$\pi_{1,2}$ merely result in a weak damping of the vibration modes. This
effect will be neglected here, and only real part $Re\pi(Q,\omega)$ that
results in softening of the vibration modes will be retained.

Diagrammatic form of the electronic (hole) polarization loop $\pi(Q,\omega)$
contributing to the phonon self-energy is
exhibited in Fig.\ref{loopa}. Here the dot is electron(hole)-lattice coupling
vertex, the  thin lines are Green's functions $G(p,\epsilon)$ of the 1D hole
possesing momentum $p$ along the stripe:

\begin{eqnarray}
G^R(p,\epsilon)=\displaystyle\frac{1}{\epsilon-\tilde{\epsilon}(p)+i\tau_p^{-1}};
\;
\tilde{\epsilon}(p)\equiv {\epsilon}(p)-\epsilon_F=\epsilon_F(p^2-1)
\label{greens}
\end{eqnarray}

\noindent In Fig. \ref{loopb} the wavy line is added. It represents
concomitant inelastic forward scattering event with small momentum transfer
($q\ll Q\sim 2p_F$) due to stripe vibrations described by a propagator $g(q,\omega)$.
A weak-coupling quasi classical description of the effect of meandering
on a hole motion along the stripe is sketched in Appendix
\ref{App1}. The superscript $R$ signifies retarded Green's function,
$\epsilon_F$ is 1D ``Fermi energy'' (chemical potential) of the on-stripe
mobile holes, and
momentum $p$ is normalized by 1D Fermi-momentum $p_F$; $\tau_p$ is particle
life-time. A parabolic dispersion $\epsilon(p)$ is chosen for the mobile
on-stripe holes for simplicity. A particular expression for the stripe
vibration propagator
$g(q,\omega)$ will be elucidated below using best fit to the experimental data
of Pintschovius et.al. \cite{pintschovius}.
\section{Localized vibrations in a ``haircomb'' potential}
By their mathematical structure equations
(\ref{dynamo}) map onto a set of the two coupled Schr\"odinger equations for a
quantum particles of ``masses'' $(\mu+K)^{-1}/2$ and $\mu^{-1}/2$ in the periodic
Dirac's haircomb potentials $\propto \pi_ip(x)$.
It is important to mention that this ``potentials'' are attractive when
$Re \pi_ip(x)<0$. Hence, the real parts of the polarization loops in
Figs.\ref{loopa},\ref{loopb} have to be
negative in order to cause splitting off a narrow band of the localized
vibrations below the
bottom of the bare propagating phonons band (the ``softening effect'').
Corresponding Bloch solutions in the periodic potential obey the
following quasi periodicity conditions at the adjacent intervals along the
$x$ - axis:

\begin{eqnarray}
&&\vec{u}(x)\equiv \{u_{x}(x),u_{y}(x)\}=
\vec{A}\exp{\{\nu x\}}+\vec{B}\exp{\{-\nu x\}};\;0\leq x\leq
b;\nonumber \\
&&\vec{u}(x)=\exp\{ikb\}\left[\vec{A}\exp{\{\nu x\}}+
\vec{B}\exp{\{-\nu x\}}\right];\;
b\leq x\leq 2b.
\label{bloch}
\end{eqnarray}

\noindent Here quasi-momentum $k$ is parallel to the $x$-axis (i.e.
perpendicular to the stripes direction) and spans the interval
$[-\pi/b,\pi/b]$.
The case of real $\nu$ corresponds to vibrations localized in the vicinity of
the stripes. The two-component vectors $\vec{A}$, $\vec{B}$ are defined as:

\begin{eqnarray}
\vec{A}\equiv\{A_{x},A_{y}\};\;\vec{B}\equiv\{B_{x},B_{y}\}
\label{blochab}
\end{eqnarray}

\noindent Continuity of the solution $\vec{u}(x)$ at the point $x=b$ together
with conditions for the first derivatives following from Eqs. (\ref{dynamo}):

\begin{eqnarray}
&&(\mu+K)\left[\partial_x u_x(b+0)-\partial_xu_x(b-0)\right]-\pi_1u_x(b)=0;
\nonumber\\
&&\mu\left[\partial_x u_y(b+0)-\partial_xu_y(b-0)\right]-\pi_2u_y(b)=0,
\label{bbb}
\end{eqnarray}

\noindent
lead to a single eigenvalue equation (due to a simplifying relation
(\ref{symms12})):

\begin{eqnarray}
\cos(kb)=\cosh(\nu b)+\frac{\pi(Q,\omega)}{2\nu(\mu+K)}\sinh(\nu b);
\label{dets1}
\end{eqnarray}

\noindent This equation determines spectrum of the wave vector
$\nu(k)$.

Substitution of the Bloch-wave (\ref{bloch}), taken in the interval
  $0<x<b$, into Eqs. (\ref{dynamo}) leads to the following system of algebraic
homogeneous equations:

\begin{eqnarray}
\left\{\begin{array}{c}
\left[\rho\omega^2-\mu Q^2+(\mu+K)\nu^2\right]A_x+iK\nu Q A_y=0;\\
iK\nu Q A_x+\left[\rho\omega^2-(\mu+K) Q^2+\mu\nu^2\right]A_y=0.
\end{array}\right.
\label{syst}
\end{eqnarray}

\noindent A dispersion $\omega(Q,k)$ is found by solving determinant
equation of the system (\ref{syst}):

\begin{eqnarray}
 \left(\rho\omega^2-\mu
(Q^2-\nu^2)\right)\left(\rho\omega^2-(\mu+K)(Q^2-\nu^2)\right)=0
\label{dispers}
\end{eqnarray}

\noindent Solutions of (\ref{dispers}) with $\nu=\nu(k)$ result in two
branches of dispersion $\omega_{t,L}(Q,k)$:

\begin{eqnarray}
\omega_{t,L}^2(Q,k)=c_{t,L}^2(Q^2-\nu^2(k));
\label{tL}
\end{eqnarray}

\noindent Here $c_{t,L}$ are sound velocities of 2D elastic media
\cite{Kleinert}:

\begin{eqnarray}
c_t^2=\mu/\rho;\;\;c_L^2=(\mu+K)/\rho.
\label{cis}
\end{eqnarray}

\noindent
Without electron-phonon coupling the corresponding unperturbed branches are:

\begin{eqnarray}
{\omega^{0}}_{t,L}^2(Q,k)=c_{t,L}^2(Q^2+k^2);
\label{tL0}
\end{eqnarray}

\noindent since at $\pi(Q,\omega)\rightarrow 0$ the eigen values of momentum
$\nu$, that are solutions of Eq. (\ref{dets1}), are purely imaginary:
$\nu=ik$,
and correspond to the propagating vibrations.
It is known from the ordinary quantum mechanics that localized states,
i.e. in the present case vibrations $u_{x,y}(x)$
with real wave-vector $\nu$, have ``energies'' below the bottom of the
propagating band. Indeed, it is apparent from a direct comparison of
Eqs. (\ref{tL}) and (\ref{tL0}), that for real $\nu(k)$: $\omega_{t,L}(Q,k)<
{\omega^{0}}_{t,L}(Q,k)$. This, in turn, signifies a phonon softening effect
due to on-stripe electron-phonon coupling.
Equation (\ref{dets1}) possesses real
solutions $\nu(k)$ in the whole interval $-\pi\leq kb\leq \pi$ when
$Re\pi(Q,\omega)<0$ and $|Re\pi(Q,\omega)|b/(\mu+K)>4$. An imaginary
solution $i\nu$ appears first time when $\nu(k)$ reaches zero.
In this case equation (\ref{dets1}) reads:

\begin{eqnarray}
\cos(kb)=1-\frac{|\pi(Q,\omega)|b}{2(\mu+K)}.
\label{zero}
\end{eqnarray}

\noindent
This equality can be  satisfied when
$0\leq |\pi(Q,\omega)|b/(\mu+K)\leq 4$.
(Here and below the
imaginary part $Im\pi(Q,\omega)$, leading to weak damping of the modes, is
neglected.)
Then, the lowest-value imaginary solutions
$i\nu$ appear in the subinterval of $k$'s:
$\arccos\left\{1-|Re\pi(Q,\omega)|b/(2(\mu+K))\right\}\leq kb\leq \pi$.
They correspond to dispersion $\omega(Q,k)$ merging with propagating phonon
band $\omega^{0}(Q,k)$. Finally, when $Re\pi(Q,\omega)>0$ all
solutions $\nu(k)$ are imaginary.

In the low doping limit, assuming
$|Re\pi|b/(\mu+K)\propto x_h^{-1}\gg 1$, the decay wave vector
$\nu=\nu(k)$ spans a narrow band between the bounds $\nu_{\pm}$
when $k$ spans the interval $(-\pi/b,\pi/b)$ :

\begin{eqnarray}
\nu_{\pm}=-\displaystyle\frac{Re\pi(Q,\omega)}{2(\mu+K)}\left(1\mp
  2\exp\left\{\frac{Re\pi(Q,\omega)b}{2(\mu+K)}\right\}\right)
\label{nu}
\end{eqnarray}

Importantly, it follows from Eq. (\ref{nu}) that in the strong coupling limit
$|Re\pi_i|b/(\mu+K)\gg 1$ the wave-vector $\nu(k)\approx$const, since in this
limit the exponentially
small second term in the right hand side of Eq. (\ref{nu}) can be neglected.
This makes softening independent of the hole doping concentration $x_h$
(involved in (\ref{nu}) only via interstripe period $b$), in
accord with the experiments in high-T$_c$ cuprates \cite{Qee,pintschovius}.
Substituting
(\ref{nu}) into Eq. (\ref{tL}) one finds the following generalized relations:

\begin{eqnarray}
\Delta\omega_{t,L}(Q,k)\approx-\displaystyle\frac{c_{t,L}^2}{2\omega_{t,L}^0(Q,k)}
\left(\frac{Re\pi(Q,\omega_L)}{2(\mu+K)}\right)^2.
\label{tlsoft}
\end{eqnarray}

\noindent where $\Delta\omega_{t,L}(Q,k)\equiv \omega_{t,L}(Q,k)-{\omega^0}_{t,L}(Q,k)$.
 Relations (\ref{tlsoft}) are remarkable, the
softening amount $\Delta\omega_{t,L}(Q,k)$ of the in-plane phonon modes is
expressed via the self-energy
correction to the phonon Green's function arising from the on-stripe hole-phonon
coupling. The self-energy is given by the polarization
loop $\pi(Q,\omega)$, that carachterizes properties of the holes moving
along the valley of a single stripe. As will be demonstrated below, the flat
$Q$-dependence of the modes softening measured experimentally
\cite{Qee},\cite{pintschovius} leaves narrow room for the different
choices of statistics and dynamical characteristics of the mobile on-stripe
holes. Thus, relations (\ref{tlsoft}) open an exclusive
``keyhole''
into the nature of stripes in strongly correlated electron systems, and in
particular, in the underdoped high-T$_c$ cuprates.

\section{Phonon self-energy: 1D holes inside static stripes}

First, consider static stripes and use the standard methods
\cite{abrikosov} to find expression for polarization loop of the 1D
on-stripe holes (see Fig. \ref{loopa}):

\begin{eqnarray}
&& \pi(Q,i\omega)=\frac{g^2}{2\pi^2}\int_{-\infty}^{\infty}d\epsilon\int dp
\left\{Im G^R(p,\epsilon)G^A(p+Q,\epsilon-i\omega)+\right.\nonumber\\
&&\left. Im G^R(p+Q,\epsilon)G^R(p,\epsilon+i\omega)\right\}
\tanh{\left(\frac{\epsilon}{2T}\right)};\; \omega=2\pi nT,\;n=0,\pm 1,...
\label{pi1d}
\end{eqnarray}

\noindent Here $g$ is electron-phonon coupling constant and $G^{R,A}$ are
retarded and advanced versions of the Green's function (\ref{greens}),
$\omega$ is the Matsubara frequency.
After an analytic continuation into real axis of $\omega$ of the expression
(\ref{pi1d}) and separation of the real part, one finds the
inverse localization length $\nu(k)\approx\nu(Q,\omega)$
using eqs. (\ref{nu}) and (\ref{pi1d}):

\begin{eqnarray}
&& \nu(Q,\omega)=-\gamma\frac{1}{2\pi}\int_{-\infty}^{\infty}d\epsilon\int dp
\left\{Im G^R(p,\epsilon)Re G^R(p+Q,\epsilon-\omega)+\right.\nonumber\\
&&
\left. Im G^R(p+Q,\epsilon)Re
G^R(p,\epsilon+\omega)\right\}\tanh{\left(\frac{\epsilon}{2T}\right)};\;\;
\label{nu1d}\\
&&
\gamma=\frac{g^2\hbar}{4\epsilon_F(\mu+K)p_FV_0}\sim 1.
\label{g1d}
\end{eqnarray}

\noindent Here $T$ is the temperature and $V_0$ is the volume of the unit
cell. All energies are expressed in units of $\epsilon_F$. As will become apparent below, a reasonable fit to experimental data can be
obtained neglecting $T$ as compared with ${\tau_p}^{-1}$. The analytic
expression for $\nu(Q,\omega)$ derived in this limit is given in
Eq. (\ref{pi1df}) in Appendix \ref{App2}.

For a comparison, in the case of a  three-dimensional spherical Fermi surface
the well known expression \cite{abrikosov} for polarization loop $\pi_{3D}(Q)$
results in a prediction for $\nu_{3D}$ following from Eq. (\ref{nu}):

\begin{eqnarray}
\nu_{3D}(Q,\omega)\propto
\left\{1+\frac{1-z^2}{2z}\displaystyle\ln\left|\frac{1+z}{1-z}\right|\right\};
\mbox{where:}\, z\equiv Q/2p_F.
\label{pi3d}
\end{eqnarray}

\noindent Substituting expressions for $\nu$ from eqs. (\ref{nu1d}) and
(\ref{pi3d}) into modes softening expression Eq. (\ref{tlsoft})
one obtains the dash-dotted and dotted curves in Fig. \ref{comparison} for
the 1D and 3D holes respectively. The filled circles in Fig.\ref{comparison}
are obtained from the experimental data \cite{pintschovius} measured in
La$_{1.85}$Sr$_{0.15}$CuO$_4$ high-T$_c$ cuprate sample (T$_c$$=38$K) by
subtracting values of
$\omega_{LO}(Q)$ at zero doping from those measured at finite concentration of
doped holes.
All the curves and data
points in Fig. \ref{comparison} are normalized by their respective minimal
values for each individual set. It is obvious
from Fig. \ref{comparison} that none of the so far mentioned theoretical
curves
fits reasonably well the experimental data. The 3D holes produce softening
effect that depends on wave-vector Q the way just opposite to the one exhibited
by the experimental curve. Simultaneously, phonon coupling to 1D holes on the
static stripes, resulting in the self-energy (\ref{pi1d}), cannot reproduce the
measured \cite{Qee},\cite{pintschovius} shallow $Q$-dependence of the phonon
modes softening, that takes place within a sizable interval of momenta
comparable with $p_F$ itself.

\section{Phonon self-energy: 1D holes inside dynamic stripes}

Now we demonstrate that good correspondence with experiment in underdoped
cuprates
can be achieved by inclusion of an extra massless bosonic propagator with
small momentum transfer ($q\ll p_F$) accompanying
on-stripe hole-phonon scattering event, as it is indicated by the wavy line in
Fig. \ref{loopb}. This extra scattering can be ascribed to transversal stripe
meandering in the $\{x,y\}$-plane.
Expression for polarization loop
$\Pi(Q,i\omega)$, with wavy-line included in accord with Fig. \ref{loopb},
looks as follows :

\begin{eqnarray}
&&Re\Pi(Q,i\omega)=-\frac{{\tilde{g}}^2}{\pi}\int_{-\infty}^{\infty}d\epsilon
\int dq
\left\{Im g^R(q,\epsilon)Re\pi^R(Q-q,\omega-\epsilon)+\right.\nonumber\\
&&\left. Im \pi^R(Q-q,\epsilon)Re g^R(q,\epsilon+\omega)\right\}
\coth{\left(\frac{\epsilon}{2T}\right)};\; \omega=2\pi nT,\;n=0,\pm 1,..\,,
\label{pi2d}
\end{eqnarray}

\noindent where momentum $q$ is expressed in the reciprocal lattice units, all
energies are expressed in units of $\epsilon_F$, and
dimensionless $\tilde{g}$ redefines the coupling constant $g$, that was
introduced in
Eqs. (\ref{pi1d}) and (\ref{g1d}) for the case of static stripes. An explicit
expression for ${\tilde{g}}^2$ is derived below.

Now, the choice of the ``meandering propagator''
$g^R(k,\omega)$ should be made. A phonon-like propagator has the form:

\begin{eqnarray}
g^R(k,\omega)=\frac{1}{2\omega_k}\displaystyle\left(\frac{1}{\omega-\omega_k+
i\Delta}
-\frac{1}{\omega+\omega_k+i\Delta}\right),
\label{g}
\end{eqnarray}

\noindent where $\Delta$ signifies inverse lifetime of the excitation. Below
to cases are considered: underdamped $\omega_{k}
\propto c_{\alpha}k\gg \Delta$, and
overdamped $\omega_{k}\ll \Delta$,
stripe meandering excitations. Before detailing the results,
a heuristic derivation of a dimensionless $\tilde{g}$ for the four-leg vertex
in Fig. \ref{loopb} is in order. This is most easily done using
Eq. (\ref{wavebess}). The latter equation infers for the case
of a small
stripe meandering  $F_q$ with wave vector $q$ (along the stripe) a
dimensionless hole-stripe
coupling amplitude $\sim pF_q$, where $F_q\sim \sqrt{\hbar/M\omega_q}$ and
$p\sim p_F/\hbar$. Here the property of the Bessel function:
$J_1(x\rightarrow 0)\propto x$ at small arguments is used. The dispersion
function $\omega_q$ enters meandering propagator $g(q,\omega)$
in Eq. (\ref{g}) and $M$ is ``mass'' associated with the stripe meandering.
Hence, the dimensionless coupling constant $\tilde{g}$ introduced in
Eq. (\ref{pi2d}) equals :

\begin{eqnarray}
{\tilde{g}}^2={p_F}^2/(M\epsilon_F)\sim m/M\,.
\label{gtil}
\end{eqnarray}

\noindent where $m$ is hole (electron) mass.

\subsection{Underdamped stripe meandering case}
First, substitute phonon-like propagator (\ref{g}) into (\ref{pi2d}), and
use results (\ref{pi1df}) and (\ref{impi1d}) for the 1D polarization loop
$\pi(Q,\omega)$. The real part
$Re\Pi(Q,\omega)$ as function of momentum $Q$ at fixed $\omega$
(corresponding to the value $\omega_{LO}$ of the softened LO mode in cuprates)
proves to be negative (see dashed line in Fig. \ref{loopc}), and therefore,
softening of the bare phonon band occurs according to explained in

detail in the text after Eq. (\ref{tL0}). Substitution of the calculated
$Re\Pi(Q,\omega)$ into Eq. (\ref{tlsoft}) gives $Q$-dependence of
the mode softening. The softening value,$\Delta\omega(Q)$, normalized by its
maximal (absolute) amount along the calculated curve, $\Delta\omega_0$, is
plotted with dashed line in Fig. \ref{comparison}. The best fit is shown, that
implies ${\tau_p}^{-1}/\epsilon_F=1.0$, $c_{\alpha}=0.1 v_F$ ($v_F$ is the
Fermi velocity),
$\Delta/\epsilon_F=0.05$, and meandering wave vector carried by the wavy line
in Fig. \ref{loopb} obeys : $|k|\leq 0.7p_F$.
The discrepancy in the slope of the mode softening as
function of $Q$ with the normalized experimental data \cite{pintschovius}
(filled circles) for the LO-mode softening in La$_{1.85}$Sr$_{0.15}$CuO$_4$
high-T$_c$ cuprate is rather apparent. Since, according to Eq. (\ref{gtil}) :
${\tilde{g}}^2\sim m/M\sim {c_{\alpha}}^2/{v_F}^2=0.01$ for this fit, the
more drastic discrepancy with experiment lies in the relative mode softening
value. It follows from relation (\ref{tlsoft}) and above estimate of
${\tilde{g}}^2$ that :

\begin{equation}
 \Delta\omega_{t,L}/{\omega^0}_{t,L}\sim (\nu/Q)^2\approx 0.01\,,
\label{sofamu}
\end{equation}

\noindent assuming $x_h=0.15$. This is order of magnitude below
the experimental mode softening amount $\sim 0.15$ \cite{Qee,pintschovius}.

\subsection{Overdamped stripe meandering case}
In this case, substitution of the calculated
$Re\Pi(Q,\omega)$ into Eq. (\ref{tlsoft}) gives $Q$-dependence that is
plotted with solid line in Fig. \ref{comparison}. One sees impressive
correspondence with experimental data. Again, the best fit is
shown, that now implies ${\tau_p}^{-1}/\epsilon_F=1.0$,
$\Delta/\epsilon_F=2.0$,
and $|k|\leq 0.1p_F$, i.e. describing long-wavelength meandering.
Because of the latter choice, the value of ``velocity'' $c_{\alpha}$
becomes immaterial, provided it obeys: $c_{\alpha}\lesssim 10 v_F$. Here
the relative mode softening value reaches
$\Delta\omega_{t,L}/{\omega^0}_{t,L}\sim (\nu/Q)^2\sim 0.1$, that is
comparable with experimental softening amount $\sim 0.15$
\cite{Qee,pintschovius} under condition derived using Eq. (\ref{gtil}) :

\begin{equation}
 m/M\sim 10\,.
\label{sofamu1}
\end{equation}

\section{Theory vs experiment: consequences of the correspondence}

The following picture emerges through the ``keyhole'' results described above.
The ``light mass'' $M$ in Eq. (\ref{sofamu1}), infiltrated in relation with
long-wavelength stripe meandering, could be in principle understood provided
the following conditions are fulfilled: i)the stripe meandering is very weakly
coupled to the crystal lattice; ii) ``light mass'' $M$ has electronic origin
and is an effective mass/per period (along stripe) of the solitonic domain
wall separating neighboring antiphase antiferromagnetic domains of the stripe
phase pattern \cite{Zaanen}. Next to
mention here, is
severe suppression of the on-stripe hole quasi-particle strength, since
the best fit of the experimental data implies
inverse lifetime of the order of the bare Fermi-energy
$\tau^{-1}=\varepsilon_F$. The transverse meandering vibrations are also
strongly damped, as the same fit demands that their inverse lifetime
$\Delta=2\varepsilon_F$.

Another important consequence of the results plotted in Fig. \ref{comparison}
is the implicit value of the Fermi-momentum of the on-stripe holes:
$p_F=\pi/2a$, where $a$ is the unit cell spacing along the stripe. Only with
this choice the theoretical curve could be successfully superposed on the
experimental data \cite{Qee},\cite{pintschovius}. The reason is that $Q=2p_F$
defines position of zero for the theoretical curves along $Q$-axis in
Fig.\ref{comparison}. On the other
hand, a weak-coupling consideration using spinful fermionic holes
that fill half of the on-stripe sites, leads
to the estimate : $p_F=\pi/4a$ \cite{shen}. The discrepancy could be
tolerated
if one assumes that on-stripe particles interacting with LO phonons are
spinless fermions, since in this case their Fermi-momentum $p_F^s$ is twice
the spinful one: $p_F^s=2p_F$. Then, one has to assume that the ARPES
experiments in Nd-doped La$_{1.28}$Nd$_{0.6}$Sr$_{0.12}$CuO$_4$ \cite{shen},
probably, register already
``spin-dressed''
(spinful) fermions, since the ``holly cross'' pattern of the occupied 1D
electron states gives
$2p_F=\pi/2a$ for the distance between parallel pieces of the quasi 1D
``Fermi surface''. The latter is
ascribed to 1D motion of holes along array of the parallel stripes.

\section*{ACKNOWLEDGEMENTS}
The author acknowledges important communications with Alan Bishop and
Jan Zaanen concerning facts related with phonon softening and concepts

of dynamic stripe-phase in high-T$_c$ cuprates.

redpajama_set_name: RedPajamaArXiv


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On the day that we celebrate our love for our other (and sometimes better) halves, why not show how much you appreciate the other real love of your life (apart from the kids, obviously) - your car?
Throughout the year you take it for granted, dragging it all over the place at a whim, use it as a dustbin, let the snow and rain do what they do worse without cover...so show it some love and consideration.
We are not saying flowers, chocolates, lingerie or underwear - because that would just be silly. But there are ways in which you can show your appreciation for what your car does for you all year round.
I remember my dad saying to me that "Cars run better when they are clean." I know they don't really, and I think it was a way of getting me to keep mine clean(er), but when you are driving a clean car, it certainly feels like it does.
Get the vacuum cleaner out and give the inside a clean.
Get rid of all the rubbish that has accumulated over the days/weeks/tears since you last had a car interior tidy up.
Give the car a good wash outside with good quality wash and wax - and don't forget the tyres and wheel trims.
Much like the cleaning, you can feed the inner heart of your car by booking it into a reputable garage for the full treatment - like a spa treatment that you or your partner may have booked.
Feeling good inside is as important to a car as it is to a human - perhaps more so because of the amount of mechanical technology that it contains - so by looking after the small things, you are in fact prolonging life.
Get the car tuned-up so that its' performance is optimised. A well-tuned engine delivers the best balance of power and fuel economy, and produces the lowest level of emissions.
Get the oil checked and changed, and get the oil filter checked too.
Get the tyre pressure checked, and make sure that they ensure that the tyres are legal too. After all, your tyres are an important part of the comfort and ride that you will enjoy, the safety of you and your passengers, and the fuel economy too.
Get the wheel alignment checked as encounters with potholes and kerbs can throw this out. A wheel alignment reduces tyre wear, improves fuel economy and handling, and increases driving enjoyment and safety.
Get the water and screenwash checked and topped up too.
You may well be buying your loved one a piece of clothing that they might like to wear (or you might like THEM to wear) or they may need, and it is the same for your car.
Wear and tear affects cars over the years, and bits and bobs do need replacing; so rather than wait until they fall off or fail completely, as a Valentine's Day treat, why not get it sorted?
Nationwide Vehicle Contract's Vehicle Maintenance Guide may help you decide what needs doing, but that wiper blade that is a little worn; why not replace that? The little bolt that is missing on the car seat restrainer; replace it. The handle that comes loose on the fold-down seat when you pull it; get that repaired. That scratch that happened in a car park back in July, and that paint job that needs doing; do them! All those little jobs that you never got round to - get them done as a treat for your car.
Yes, it's a bit of a big present, but just think how good your car would look with a complete new set of wheels. Wheels can completely transform a car, and at the same time transform what people think of you as you drive around in a car with new wheels. Just an idea!
Do you spend all your time tootling about in the city on the work run, sat in traffic jams and occasionally hitting 40mph when it is safe and legal to do so? Would you not rather take your car out for a drive to open the throttle and test its limits (again in legal fashion)? Unless you've pushed your car to its limit and found it extremely lacking, you won't know that.
So try it. You'll never know unless you do.
As we said previously, your car is important, and it needs love, care and attention. But not to the detriment of any relationship you may well be in - or want to be. You could combine the two because, who would not want to be whisked away on a romantic drive in a clean and recently serviced car with a new set of wheels listening to a digital radio station playing love songs?
Happy Valentine's Day from Nationwide Vehicle Contracts.


text:
Connellsville native helps advance cancer research
HomeNews Connellsville native helps advance cancer research
by highlands-admin in News Comments: 0 2863
BY CHRISTINE HAINES
Highlands Hospital is one of three hospitals in the nation partnering with the Clinical Breast Care Project, a repository of more than 100,000 donated tissue samples for the study of breast cancer.
The center is located in Windber, Pa., near Johnstown and was started in 2000 by Connellsville native Nick Jacobs in conjunction with the Department of Defense utilizing a grant obtained through the late Congressman Jack Murtha.
Connellsville is the third hospital to partner with the research center, joining Anne Arundel Hospital in Maryland and the Walter Reed-Bethesda Medical Center. To date, Jacobs said, 97 percent of the women asked have participated in the study.
Jacobs, who is now retired, said he wanted to bring this program to his hometown as well.
"People from this area will be participating in the effort to stop breast cancer or to cure breast cancer," Jacobs said.
Women going to Highlands Hospital for mammograms will be asked if they want to participate in the study, Jacobs said, and if they agree, a blood sample will be taken. The partnership between the hospital and the Windber research center began a year ago, with the final stages of training and equipment installation just wrapping up now, said Vicki Meier, the hospital's director of community and professional relations.
"It's pay it forward. The information is being used for a cure, which is what we're all about," Meier said.
Because the original repository was set up in conjunction with the Department of Defense, Jacobs said, it offered in-depth information over time. Jacobs said in the past, tissue samples weren't necessarily handled well or in a uniform manner and did not come with information about the person they came from. Jacobs said nurses were hired to conduct an 800-field survey with those who were donating tissue samples so more was known about lifestyle, diet and family backgrounds. That information is placed in a database and can be analyzed from many perspectives.
"We started seeing a correlation between drinking coffee and a low incidence of breast cancer," Jacobs said. "It created a treasure trove of information."
Jacobs said that because the project is affiliated with the military, medical data on the women is available for as long as they are serving in the armed forces. All military personnel have blood testing done every two years, so that information is also provided to the Windber site.
When Jacobs found his research scientists becoming distracted by the amount of data available and heading in a multitude of directions not necessarily related to the human body and cancer, he hired foreign doctors for the research team who had medical training but were unable to practice in the United States because their licensing was obtained elsewhere, keeping the research focus on the medical applications.
Jacobs retired in 2009, which is the same year the National Cancer Institute conducted an assessment of the Windber facility, ranking it as the only Platinum facility in the United States.
"They began using the tissue to map the human breast cancer genome," Jacobs said.
Genetic information is not the only benefit from the study, however. Jacobs said having additional information along with the tissue samples has allowed the researchers to learn so much more.
"Seventy five percent of what we're dealing with is not genetic," Jacobs said.
Jacobs said there are numerous environmental and even cultural issues that can lead to higher cancer mortality rates. Jacobs said a nearly epidemic proportion of breast cancer cases were found in an area near a municipal waste incinerator in one area. When African-American women in the military were found to be in later stages of breast cancer than their caucasian peers, all with the same access to the same health care, it was found that culturally, fewer black women breast fed or conducted monthly self-examinations, leading to later diagnoses and more advanced cancers.
While the repository provides a wealth of information, because it has been primarily from U.S. military personnel, it contains few samples from either Hispanic or elderly women.
Jacobs said he has started a second research institute in Florida which studies 300 genes to determine how medications are metabolized, so drug therapies can be more efficient, especially in treating cancer where the wrong drug can be as damaging as the disease.
Christine Haines is a staff writer with the Daily Courier. She can be reached at 724-628-2000, ext. 116, or chaines@dailycourier.com.
Daily Courier Article
Tag – a – Long Tuesday Highlands Hospital Announces Funding for Autism Programming
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redpajama_set_name: RedPajamaCommonCrawl


Visual content is how brands express their identities and communicate with their target audiences. Historically, they've been quick to turn to their agency partners to support increasing demands for visual content as they, internally, become strapped for resources.
Marketers have traditionally partnered with agencies to produce content for their campaigns. But in 2018, the relationship between brands and consumers is far more complex. A one-off promotional campaign is incapable of retaining your audience's attention over the long-term. One-off ads are not effective tactics in digital marketing.
Content is far more effective when used as a tool to nurture relationships through repeated touch points.
Brad Jakeman, formerly President of PepsiCo Global Beverage group, best describes the marketer's challenge for maintaining output in the digital age.
Traditional creative models, which allowed brands to produce a handful of large pieces of content in a calendar year, are no longer scalable. The sheer volume of content demanded by consumers requires more resources, more talent, more money, and more time. Many internal teams lack the capabilities to produce that content, but those same limitations restrict the amount that can be outsourced.
Brands want to create content at scale. But they must be conscious of how much of their budgets are spent producing all of that content.
These expectations are changing the relationship between brands and their agency partners. Brands are re-evaluating how agencies support their marketing endeavors. Agencies still have a role to play in the creative model, but their importance in the grand scheme is starting to wane due to marketers' expectations to manage the bottom line.
This past summer, the New York Times reported that WPP - the world's largest advertising agency - cut their growth forecasts, citing shifting priorities of their core customers. For example, brands in the consumer goods category are scaling down marketing expenditures in favor of product development investments.
This is part of an effort by established brands to keep up with new forms of digitally native competition. As a result, brands are re-evaluating how they create content and questioning how to incorporate agencies into their creative workflows.
Once upon a time, the relationship between a brand and an agency was fairly straightforward. The brand would analyze the marketplace, define their positioning, and brief an agency on how best to create content to achieve their goals. The agency would extract key components from all of that data, align those insights with the brand, and create content to empower the brand.
However, as the relationship between brands and consumers grew progressively more complex, the relationship between marketers and their agencies followed suit. An article from McKinsey on how to get the most from agency relationships illustrates this complicated dynamic.
Brands have traditionally relied on agencies to produce content for singular or special marketing campaigns. If a need arose for social-friendly visuals, an agency could scale creation of those assets. Should you plan for high-quality video content, you may require another agency that specializes in video content production.
As channels like Snapchat, and later Pinterest were introduced to the market, people were given even more platforms to consume content. Each new channel introduced more creative and dynamic content formats for marketers to monetize. Therefore, the need for fresh content grew as brands sought to provide consumers with the experiences they demand.
The challenge for brands becomes producing custom content at scale without breaking the budget. Demands for content continuously outweigh internal capabilities, often requiring brands to leverage agencies to scale production. Unfortunately, as demands for more content rise, so too does the amount of time, resources, and money marketers must spend to manage the production of all that content.
According to PQ Media, brands are expected to spend $300 billion per year on content marketing by 2019.
If your marketing team is putting a premium on content production, you're more likely to be successful in content marketing. The 2018 B2C Budgets, Benchmarks, and Trends report - jointly produced by Content Marketing Institute and MarketingProfs - says the most successful brands commit at least one-quarter of their total marketing budget towards content production.
One-quarter of your annual marketing budget is a lot of money to spend on content creation. You need to spend your budget wisely to maximize the value of content marketing.
When you collaborate with an agency to scale content creation, it becomes an expensive endeavor. But let's refer back to a previous example for a moment.
Suppose you want to create both visuals and videos to market your brand, but you need two different agencies to create each content format. Paying for the services of two separate agencies will put a massive hole in your creative budget.
Ask yourself the critical question. Do you really have room in your budget to pay for the services of two or more creative agencies?
Think about how much content you need to create in the calendar year. There's content on Facebook, Instagram, Snapchat, and all other social platforms. There's content for your website; content for banners, display ads, and even within your stores.
There's a strong possibility that you'll use different content formats for each channel. If you need an agency that specializes in each format to help create enough content, your ability to affordably scale production is significantly diminished.
You can offset some of these costs by incorporating more agile solutions into your creative process. Technology has come a long way, and you can leverage content creation platforms to produce more content at faster, scalable, and more affordable rates.
Eager to learn more about cost-effective and scalable solutions? Book a demo and speak to one of our specialists about how technological platforms stack up with traditional agency models to help you scale content production at agile and affordable rates.


Today Hiroshi Mikitani, Founder and Chairman of Rakuten, gave a talk at the Foreign Correspondents Club about his Japan Association of New Economy (JANE) and about his new book authored with his father entitled Competitiveness. Mikitani is also member of Prime Minister Abe's Competitiveness Council.
Overall Mikitani explained some very reasonable sounding suggestions for changes towards overcoming Japan's current 15 year stagnation. He made clear, that the No. 1 reason for Japan's stagnation is not lack of technology or lack of innovation, but is due to insufficient quality of top managers/executives of Japanese companies. Therefore most of Mikitani's suggestions for improvements focus on increasing the quality of top executives at Japanese companies both via education and also via bringing in more non-Japanese competition. Mikitani also emphasized his close relationship with Prime-Minister Abe, he mentioned having had dinner yesterday with Prime-Minister Abe, and expressed is confidence in Prime-Minister Abe's abilities and his power to execute. One of the questions the audience asked during Q&A was that similar suggestions for improvements have been heard over many years, and asked whether this time these suggestions will be implemented.
Mikitani is Representative Director of the Japan Association of New Economy (JANE).
Mikitani emphasizes that the major reason for Japan's stagnation is not lack of innovation, but top management with low capability and no vision. – Japan's No. 1 problem are Japan's executives.
Current system protects top management with low capability and no vision. Top management needs to be renewed.
Japan must select Key Performance Indicators (KPI) and measure improvements in competitiveness against these KPIs. Must set targets, and measure progress.
Japan's education system is ranked on 43rd position (out of 144) by the World Economic Forum (2012).
Quality of management schools is ranked on 80th position (out of 144) by the World Economic Forum (2012).


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Amorous Way | Graphite on Translucent Mylar | 21" x 21" | 2010
Artist Statement: I am compelled to construct a physical art object or image that triggers experiences parallel to immaterial events. The graphite work Amorous Way is one of an ongoing series of drawings that shift in relation to the viewer's orientation to the work. The reflective, mirror-like surfaces allow for a "slippage in the perceptual" thus visual hierarchies rise and diminish. "Power," as defined by tone or focal point, is rendered unstable. Through the invention of these "impossible forms," I aim to defy perceptual space with deliberate perspective errors and the use of quasi bi-lateral compositions. These invite comparisons that inevitably reveal our ability to both gestalt and detect nuances of differentiation. Simultaneously organic and inorganic, figurative and botanical, recognizable and obscured, black and white and poly-chromed, an object emerges that both is and is not.
Lori Esposito has worked as an artist and educator throughout the US. Her work is shaped by a desire to utilize alternative and ancient healing processes that may offer relief and empowerment from profound loss or change. Seeking respite and beauty through the integration of daily life and practice, Lori investigates experiential and kinesthetic potentials of objects, imagery and actions. Her practice instigates a broad dialogue concerning the relationships between culture and natural systems, which has fostered a distinctive outlook on landscape and botanical rendering. She has exhibited and lectured on her work at academic institutions, art centers and conferences nationally and internationally. She has also been published in the journals and publications of numerous fields including neurology, anthropology, and contemporary art. She has received public and private commissions, residencies, and institutional grants for her work, which alongside drawing and painting is inclusive of performance and community-centered projects.


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Best Vacationing Advice
Louisiana Vacation Spots
So although Homer Plessy had just one black great-grandparent out of eight — and passed for white — the court ruled that he h.
Top Vacation Destinations in Louisiana. New Orleans Vacation Rentals. Lower Garden District, New Orleans, Louisiana. from $302 $537. 9flats.com. 5.0.
Jan 19, 2018. Below is a list of places to add to your 2018 bucket list of things to do and see. Visit a piece of history: Louisiana's Old State Capitol. This year is.
ABC News chief meteorologist Ginger Zee said the ruins in Mexico Beach, Florida, were "eerily reminiscent to the scene I saw.
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Home Nigeria News Your Day Of Reckoning Is Near, El-Zakzaky's Followers Threaten Buhari, El-Rufai
Your Day Of Reckoning Is Near, El-Zakzaky's Followers Threaten Buhari, El-Rufai
Islamic Movement in Nigeria (IMN) have told President Muhammadu Buhari and Kaduna State governor, Nasir El-Rufai, to watch their backs as the day of reckoning was very nearer than they ever thought.
The group, also condemned recent comments that their leader, Sheikh Ibrahim el-Zakzaky is being tried for crimes committed in Zaria in the past.
IMN, also known as Shiites, in a statement signed by President of its Media Forum Ibraheem Musa on Tuesday morning said that contrary to recent reports attributed to Governor Nasir el-Rufai that their leader and his followers perpetrated terror in the Zaria clashes of December 2015 between IMN and the army, they were the victims of the terror orchestrated by the state.
"With increasing pressure on the Buhari regime from home and abroad occasioned by the decision of the International Criminal Court (ICC) at The Hague to investigate the crimes against humanity committed by this regime during the Zaria Massacre of 2015, there have been increased efforts at belittling the matter and trivializing the issues.
"This reached a peak when the Kaduna state Governor, Nasiru el-Rufai insinuated that so long as he remains Kaduna Governor, Sheikh Zakzaky would remain in detention. According to the governor, Sheikh Zakzaky is being tried for crimes he and his followers committed in the last 30 years in Zaria.
"On the contrary, the Sheikh and his supporters were the victims of state terror and crimes and not the perpetrators. After the criminal invasion of the Sheikh's residence in December of 2015 and the subsequent killing of hundreds of his supporters including his sons and relatives by officers and men of the Nigerian Army, the Sheikh and his wife were shot at and arrested.
"The Department of State Security (DSS) illegally detained them without charges until May 2018, when the pressure on the government to release them became so intense and unbearable. It was at that point that the government thought of charging them of inciting his followers to commit alleged offences."
He said before then, the government had struggled to find explanations for their continued detention, forcing it to claim that the Sheikh was being kept in protective custody, while his wife Zeenat, was keeping her husband, company.
"The government arrested hundreds of members of the Sheikh Zakzaky-led Islamic Movement and put them on trial for allegedly being responsible for the death of one of the soldiers, who was accidentally shot by his colleagues. The Kaduna High Court has cleared all of them of these framed up charges and subsequently discharged and acquitted them all. So what crimes is el-Rufai referring to?
"Governor el-Rufai's fraudulent claims that only court can free Sheikh Zakzaky pales in the face of the obvious. Firstly, the fabricated charges of inciting, aiding and abetting brought against him (as a ploy to perpetually keep him in detention) have been squashed in the High and Appeal courts. Secondly, the Federal High court had declared his detention as unconstitutional and therefore ordered his release.
"Thirdly, even when the Kaduna high court granted the Sheikh medical leave, el-Rufai never conceded. He took measures to thwart the medical bail, putting stringent terms and conditions independent of the courts. Clearly, el-Rufai, like General Buhari, has no respect for the rule of law. Justice will be served. We will intensify our peaceful campaigns until justice is done to the victims of Zaria genocide of December, 2015 and Sheikh Zakzaky and all those still being held regain their freedom," Ibraheem added.
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The autobiography of the youth of the former Vice President of Yugoslavia, which is also the story of a little-known land, Montenegro. Introduction and notes by William Jovanovich. Translated by Michael B. Petrovich.


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Home > White Magick
The Cosmic Good By Gloria Ellelujah
Brand: Finbarr Occultism
MAKING THE 'IMPOSSIBLE' POSSIBLE FOR THE GOOD OF ALL
What wondrous power issues from this book? Feel it – be inspired by it!
THE COSMIC GOOD – Making the 'Impossible' Possible MERELY READING THIS BOOK WILL GIVE YOU A STEP UP
Every page of this highly inspirational book brings reassurance that nothing is really 'impossible' – that indeed everything is possible through what the author calls the Cosmic Good.
Gloria Ellelujah, the pen name of a hugely successful businesswoman and philanthropist now in her eighties, is the author of this work on the Cosmic Good.
'I DON'T BELIEVE IN THE "IMPOSSIBLE", FOR THERE IS A UNIVERSAL FORCE AVAILABLE TO ALL WHICH CAN SWEEP AWAY OBSTACLES, NO MATTER HOW SEEMINGLY INSURMOUNTABLE', she says.
'Whatever your circumstances, you can transform them. Adversity can be turned into triumph. And it all begins when you start tuning into the Cosmic Good.' The Cosmic Good begins operating for you the very moment you begin reading this book! You will feel an immediate power – you will feel inspired, comforted that at last there's a way forward. It is not a flight of fancy, for the author built her career around it. 'Whatever I set out to get I got.' There is no need for ruthlessness, for this Power is for the good of all.
You will read in this book the absolutely true story of a man – his whole life spent in 'positive thought' – who found himself diagnosed with a terminal illness in its final stages. 'Where did I go wrong? How could this happen to me?' he asked the author, for now all his beliefs were called into question.
She explained the Principle of the Cosmic Good and he followed through. He made a complete and total recovery and now leads a happy and vigorous life. His condition had been declared 'utterly hopeless', for the Cosmic Good; it wasn't.
THIS BOOK DEMOLISHES THE LIMITATIONS OF HUMAN THINKING.
It is about defying all odds. A boy suffered a brain haemorrhage which threatened his life. Traumatised, his mother turned to the author who gave her the inspiring words she desperately needed to hear. Gloria explained what she needed to do. Meantime the lad's condition deteriorated. 'Prepare yourself for the worst', warned the doctors. Even so the mother proceeded in the Cosmic Good, for she had nothing to lose.
THE BOY MADE A SPECTACULAR RECOVERY, and was able to live again the life of a normal healthy boy.
IT WAS AGAINST ALL THE ODDS!!!
Merely the act of reading this book will give you a flying start! 'It is tragic how so many are condemned to go through life without hope, inspiration and achievement; without realizing that there is an irresistible supernatural power on tap to help them … to alleviate their sufferings and change adversity into triumph', she says. Read another absolutely true story of the man who escaped from a crashed, burning plane totally unscathed. 'IMPOSSIBLE'?? Yes – in human thinking. But it happened!
Read, too, of the woman driven to despair after her shop was robbed and then her life began spiralling out of control. The author explained to her the Principle of Renewal, which in the Cosmic Good means that what goes out comes back. There are those who already believe this, yet it doesn't happen for them.
In the Cosmic Good this is not the case. This particular woman's fortunes were completely restored. At first she was sceptical but the author urged her to hold on. Another woman, highly intelligent and successful, seemed to have everything going for her – except love. She just couldn't attract the type of man she wanted, and got the wrong sort instead.
The author explained how this Power attracts only the good and gave her a formula to follow. She went on to meet – and ultimately marry – the most wonderful man! 'Don't speak to me of the "impossible"', declares the author, 'I have spent my life proving that it's a myth.'
'THERE IS NO LIMIT TO WHAT CAN BE ATTAINED THROUGH UNIVERSAL CONSCIOUSNESS BY THE COSMIC GOOD', she says.
Many believe in the 'Cosmic Mind', 'Infinite Mind', 'God', and still they flounder. In the Cosmic Good the path is made clear. This book takes you to the heart of timeless spiritual truths. It explains who Jesus, his disciples, etc., really represent; the meaning of the crucifixion. 'The Bible in the hands of most is a tool of ignorance and misunderstanding', she says. 'Once understood in the light of Cosmic Good it becomes a storehouse of inspiration and motivation.'
Send today for 'THE COSMIC GOOD – MAKING THE "IMPOSSIBLE" POSSIBLE' and allow your spirit to soar!


I love to take photo to churches, shrines, sculptures, sunsets and derivatives. I grew up surrounded by the phenomenon that generates this place and San Nicolás city by it self. I always found certain mysticism of that opposite sides generated by the dark human faith, and the nature shining.
Nice to find this great organist in action!
It's typical for me, I love to take photo to churches, shrines, sculptures, sunsets and derivatives. I grew up surrounded by the phenomenon that generates this place and San Nicolás city by it self. I always found certain mysticism of that opposite sides generated by the dark human faith, and the nature shining.


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Recreation Cambodia Exhibitions Cambodia
The artists and the creators show
THE ARTISTS AND CREATORS SHOW
Discovery, Encounters, Exchanges
Cambodia is a meeting point for many designers, artists, designers, artisans, fashion designers inspired by its culture and who used the products and commodities of the country.
The artists and creators show, which will begin on March 4, invites you to (re)discover major creators.Sharing and exchange are at the heart of this second edition, with thoughtful dialogues in the luxuriant garden of the « No Problem » colonial villa.
A circuit, imagined by more than twenty Cambodian and international artists, will transport us to different universes where we can appreciate works freely, while interacting totally with the site, since the new creations will use this circuit as its raw material.
No one is enclosed in his own bubble. Atmospheres come together, assemble, and then disappear.
This is an invitation to discovery, exchange, and wonderment.
Special Event for 2012
Auction sale by Christie's
Following the exhibition on March 2012, Christie's will conduct an auction to sell a choice of art pieces. The benefits of the sale will go to "Cambodia Living Art," an association that supports young Cambodian artists.It is the very first time that Christie's comes to Cambodia for such an event. This represents an honor and great opportunity for Cambodian Designers to evaluate their artworks on the international market.
Christie's has 53 offices in 32 countries and 10 salerooms around the world including in London, New York, Paris, Geneva, Milan, Amsterdam, Dubai and Hong Kong. Christie's also offers its clients worldwide access to its sales through Christie's LIVE™, its unique, real-time online bidding service.
More informations here : http://www.christies.com/features/welcome
We will have more participants than ever before.
Artisans will be joining the The artists and creators show's third edition which will take place once again in the beautiful "NO PROBLEM" colonial mansion.
Come discover two defenders of traditional Khmer art: an engraver, on a monumental scale, of copper and silver. An artisan creating accessories and inlay work with buffalo horn.
Sculptors will show their stone bas reliefs backed by one thousand years of tradition.
Gemstones, both precious and semi-precious, will be on display thanks to two Cambodian women of amazing talent.
The artists and creators show opening and Private showing by invitation only March 2, 2012
Open to the public from March 3 through March 11 from 11am until 8pm
Major Innovation for the closing of the 2012 edition
Christie's International will come from Paris especially for an auction at the SOFITEL of forty of the most remarkable creations shown at the The artists and creators show. A first for Cambodia!
As in the past all creations exhibited will be put on sale by their creators on March 11 at The artists and creators show
Others exhibitions
Focus Asean


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Q: Detect H.323 by simple sniffing? Is it possible to detect if a H.323 connection (phone call) is up by simple sniffing traffic on an adjacent node?

A: The most effective way seems to sniff all the TCP traffic to 1719 (RAS) and 1720 (H.225 signaling) port. You get signaling with high probability. Other ways are much harder.
Other alternative:

*

*Check new TCP connections with TPKT traffic right from the start.

*If header is good (4 bytes to check) and PDU seems reasonable size you need to decode this as H.225 signaling (ASN1) this is not so simple and relative resource consuming operation.

The worst thing you can face is H.235 security with signaling protected. Almost nothing will help you in this case ;).

A: if you only catch 1719 (RAS) and 1720 (H.225 signaling), you will miss and H.245 if there is an H.245 session which is negotiated dynamically.
I would suggest you that captured all TCP sessions and UDP 1719 sessions between caller/caller/gate-keepers.

redpajama_set_name: RedPajamaStackExchange


The issue for the composer is to make a line on top that is interesting and fluid enough that you might not even know that it was a chaconne. [In this work,] the chord pattern repeats seven times, which sort of restricts the violinist. There is a middle section where both the violinist and pianist can really get into a conversation with one another, and then it drifts back into the chaconne. Of course getting back to something is always the composer's dilemma because it has to sound like it really wants to get back there.


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Do our autoclaves need to be connected to a vent system?
Models that need to be installed (i.e. this excludes compact and benchtop units) should be connected to a vented drain, which will eliminate the possibility of back-flow.
Is it possible to have two water sources for an autoclave, one for the steam generator and a separate untreated source for the jacket?
Yes, this is possible with most models. Please contact Astell for further information.
What's the advantage of using simple vacuum for discard loads?
Simple vacuum will improve air removal from discard loads (in comparison with freesteaming), although the most efficient form of air removal is Advanced (pulsed) vacuum.
Can Petri dishes with media be sterilised in an open discard bag in autoclaves 63 litres and under?
Yes, although care should be taken to ensure that the autoclave is not overfilled, since this may prevent efficient air removal.
What sort of waste can be sterilised using an autoclave with BSL3 option?
BSL3 is generally hazardous waste containing pathogens that are potentially harmful. Further details can be provided on request.
Are Classic or Autofill Compact and Benchtop autoclaves best for discard?
The Classic and Autofill Compact and Benchtop autoclaves can be used for small quantities of non-hazardous discard. For larger, difficult loads a vacuum system is beneficial. If BSL3 (Cat3) waste is being sterilized, a heated jacket in addition to vacuum, would be recommended, since this ensures improved temperature distribution within the chamber. 12 point validation to a recognised standard is recommended to ensure that all parts of the load are being sterilized.
Is it possible to limit various cycles to a given operator?
Operator specific cycles can be provided on request. Please contact Astell for further details.
How many cycles can be stored in the data archiving function of the controller?
Up to 5,000 cycles can be stored, although this may vary depending on cycle parameters.
How many programs can be set on the controller?
The Astell controller allows the programming of at least 50 different cycles.
What's the difference between free steaming and pre- vacuum?
Freesteaming involves 'air purging', where air is effectively 'driven' from the chamber & load using turbulent steam. Pre-vacuum withdraws air from the chamber using a vacuum pump.
Is a media melting/warming cycle available?
Yes, a media melting/warming cycle is available.
Is the Holdwarm facility available for models with steam generator?
No, the holdwarm system is dependent on the remaining water in the chamber being held at a constant temperature. If an autoclave has a steam generator little or no water remains in the end of the cycle.
Most manufacturers request a deionised water supply. Ours only need a potable water supply. Isn't there a potential problem with limescale?
If the water supply is relatively hard (<50ppm) a Water Softener would be advisable. This is particularly critical for units with a steam generator, where any build up of scale will not be visible, and the first sign of unsuitable water may be heater failure.
Does a top loading, non-Autofill autoclave need to be filled before each use?
An autoclave without an Autofill system will need to be manually filled before each cycle. However, please note that in normal circumstances some water will remain in the chamber at the end of each cycle, so the water required to reach the minimum level will be relatively small. Note: The latter applies only to autoclaves with heaters in the chamber; an autoclave fitted with a steam generator will fill automatically (and therefore will require a water supply).
Can the air ballast system be used to speed up cooling?
Air Ballast reduces the risk of bottled fluids boiling over when an efficient cooling system (e.g. water jacket cooling) causes a sudden change in pressure within the autoclave chamber. Therefore when an autoclave is fitted with air ballast the cooling stage can be implemented earlier; this will mean that improved cooling times can be achieved.
What is meant by a dry discard cycle?
A dry discard cycle is intended for the sterilization of waste loads that contain little or no liquid. Often these will consist of petri dishes, and other plastic containers etc. that require decontamination prior to disposal
Which options are required for pipette tips and textiles?
Pipettes and textiles can be sterilized in any autoclave. However, in most cases these products will need to be dry at the end of the cycle, and for this an Advanced Vacuum and Heated Jacket will be necessary.
Does the total cycle time vary between Classic and Autofill benchtop/compact autoclaves?
Cycle times are very much dependent on the size and nature of the load being sterilized. However, for identical loads, an Autofill unit will have a slightly (up to 15%) faster cycle time than a Classic unit. This is because with the Autofill version the hot water is ejected from the chamber after sterilization, whilst with the Classic unit, the water remains.
What is the maximum achievable temperature and pressure for our autoclaves?
138°C; 2.4 Bar
IF YOUR QUESTION ISN'T LISTED PLEASE CONTACT US. WE WILL BE HAPPY TO ANSWER IT.


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LA customs agent turned black market gun-runner, 56, who used his positon to seize and sell illegal weapons is found with more than 40 machine guns after he's busted selling guns to undercover agents
Liberian soccer player who moved to the U.S. is found guilty of immigration fraud after border agents found steamy texts from another man on his wife's phone saying they had the 'best sex ever' during their sham marriage
Joe Biden and Kamala Harris rematch is set while Bernie Sanders will face off with Elizabeth Warren in the second Democratic debate next week in Detroit
Forget mother and father: 'Parents could be re-named Progenitors A and B' under plans for gay marriage
Erosion of traditional words in British statute could 'lead to legislative chaos'
Lord Brennan QC said redefinition of marriage could have 'Orwellian' consequences
By Kerry Mcqueeney
'Progenitor A' and 'Progenitor B': What parents may be called in legal terms if same sex marriage is introduced
Parents could be legally referred to as 'Progenitor A' and 'Progenitor B' under plans for same sex marriage, regardless of their sexuality, it has been claimed.
A leading lawyer said, if the institution of marriage is redefined, the erosion of traditional words such as 'mother' and 'father' from British law could have 'Orwellian' consequences.
Lord Brennan QC, an opponent of same sex marriage, also claimed the removal of such words from the statute books could result in legislative chaos.
The Labour peer said extending the institution of marriage to include homosexual couples could require amendments to laws dating back 800 years, it has been reported.
He said analysis of other countries which had already legalised same sex marriage had shown erosion of traditional words in statute, such as 'mother', 'father', 'wife' and 'husband'.
Writing in the Telegraph, Lord Brennan - who is also the president of the Catholic Union of Great Britain - used Spain as a recent example, where the Socialist government introduced gay marriage in 2005.
He wrote: 'The following year it was announced that Spanish birth certificates would read "Progenitor A" and "Progenitor B" instead of "mother" and "father".
RIGHT MINDS: Gay marriage is the front line in a bloody culture war 'It is every Catholic's duty to resist gay marriage': Senior bishops step up battle against 'profoundly...
RIGHT MINDS: Ads against gay marriage? How offensive, says the WI Law on same-sex marriages mean churches 'will be forced to conduct gay weddings'
'This kind of language is Orwellian. Can we really expect the same kind of thing here if marriage is redefined?'
Lord Brennan's warning was dismissed as scaremongering by supporters of same sex marriage, who said the adjustment of legislative language was common practice when new laws are introduced.
A draft Bill drawn up by the gay rights group Stonewall proposed amending the Matrimonial Causes Act of 1973 using the term 'parties to the marriage' to replace the words 'husband' and 'wife'.
In current law, the word 'husband' appears 1,003 times, 'wife' 888 times and 'spouse' 2,740.
Controversy: Lord Brennan QC (left) claimed same sex marriage would have 'Orwellian' consequences, while David Cameron (right) is keen to press ahead
However the QC - who is a member of Matrix Chambers and has also represented the families of the Omagh bomb victims - argued it would take up too much of the government's time and energy making the amendments.
He added in his commentary in the Telegraph: 'In the present grave economic situation, which does Mr Cameron think that so much government and parliamentary time and energy should be dedicated to such a change in the law, effectively obliterating vast amounts of our cultural and legal heritage?'
Ben Summerskill, from the gay rights group Stonewall, said there was no evidence extending marriage to same sex couple would cause legal chaos adding: 'I doubt there is legislation from the reign of Edward I that refers to trains or traffic lights but somehow we've managed to amend it.'
If the law is changed, Britain will become the sixth European country - after the Netherlands, Belgium, Sweden, Spain and Norway - to recognise same-sex marriage.
An end to discrimination? But gay marriage ceremonies might not be allowed to take place in church
Despite fierce opposition from the church, David Cameron has remained resolute in his determination to end the discrimination faced by homosexual couples.
However, Downing Street - in what is thought to be a bid to avert a damaging rebellion by the bishops who sit in the House of Lords - has insisted that the gay marriage ceremonies will not be allowed to take place in church.
Mr Cameron faces a major revolt by up to 100 Conservative MPs who have threatened to vote against or abstain when the measure, which is backed by Labour and the Lib Dems, comes to the Commons.
The coalition led by Lord Carey, which is backed by Tory MPs, peers and family groups, will warn the Government to leave traditional marriage alone.
It also says the changes are not wanted by the majority of the population and will require the rewriting of 800 years of legislation.
The word 'marriage' appears 3,258 times in UK legislation, which underlines the central role the institution plays in national law.
If the change goes ahead the Government could face legal challenges from the heterosexual community. Ministers have ruled out extending civil partnerships, which became law in December 2005, beyond the gay community.
Even though none of the three main political parties included the proposal in their manifestos at the 2010 election, the legislation could be in the next Queen's Speech in May.
A new grassroots organisation, the Coalition For Marriage (C4M), opposes the redefinition of marriage to include same sex couples.
It was launched in response to the forthcoming publication of a consultation document by the Equalities Minister, Lib Dem Lynne Featherstone, on how to introduce same-sex marriage before 2015.
Colin Hart, C4M's campaign director, said the proposed upheaval was being driven by the forces of political correctness and a handful of single-issue pressure groups.
He said: 'The word marriage is woven into the fabric of our national laws. That can't be just unpicked in a single stroke.'
Gay marriage plans in UK: Father and mother 'to be re-named Progenitors A and B'
'My father wasn't a mass-murdering dog': Son of notorious cult leader Charles Manson defends his dad in his first interview in 26 years, claiming the media 'blew it out of proportion'


text:
The men's individual pursuit competition at the 2018 UEC European Track Championships was held on 5 August 2018.

Results

Qualifying
The first two racers race for gold, the third and fourth fastest rider race for the bronze medal.

 QG = qualified for gold medal final
 QB = qualified for bronze medal final

Finals

References

Men's individual pursuit
European Track Championships – Men's individual pursuit

redpajama_set_name: RedPajamaWikipedia