text:
\section{Introduction}

In a recent paper \cite{Yo}, a new free field representation of string
theory in $AdS_{3}$ was introduced in order to realize the explicit
identities that, according to what was proven in \cite{R}, turn out to
connect the correlation functions in both Liouville and $SL(2)_{k}$ WZNW
theories. Such representation corresponds to a perturbed conformal field
theory coupled to two-dimensional quantum gravity (perturbed Liouville
gravity). Then, this enables to make use of all what we have learned about
Liouville field theory and then gain information about the WZNW model. The
purpose of this brief note is that of emphasizing the usefulness of such
realization by explicitly showing how the free field approach can be used to
compute three-point scattering amplitudes in $AdS_{3}$. It is known that the
free field approach and the Coulomb gas-like prescription were previously
employed to this end \cite{BB}; however, the computation here regards those
cases that were not worked out in previous free field calculations. Our
attention will be focussed on the three-point functions that violate the
winding number conservations. In fact, even though free field computations
of such observables were previously presented in the literature \cite{GN3},
it was done by assuming some kind of kinematic restriction, $e.g.$ the
assumption that one of the incoming strings was represented by a
highest-weight state of the $SL(2,R)_{k}$ representations. Moreover,
previous free field computations also considered particular relations
between left-moving $m$ and right-moving $\overline{m}$ momenta, imposing in
such a way certain constraints on the angular momentum of the interacting
strings. Here, we relax such assumptions and calculate the generic ``winding
violating'' three-point amplitude in $AdS_{3}$ within the framework of the
Coulomb gas-like prescription. Besides, we are able to compute correlations
involving states of generic winding number, without introducing intricate
tricks for the definition of states with winding number grater than one and,
remarkably, without resorting to the introduction of the spectral flow
operator.

In the following section we briefly review the free field representation
that will be used. In section 3, we compute the three-point amplitude that
violates the winding conservation. We do this in detail, by emphasizing the
steps through the calculation.

\section{Perturbed Liouville gravity}

\subsection{Free field representation}

Let us begin by briefly reviewing the free field representation we will
employ. The action of the model is that of a matter conformal model $S_{M}$
coupled to the Liouville action $S_{L}$. This takes the form

\begin{equation}
S=\frac{1}{4\pi }\int d^{2}z\left( -\partial \varphi \bar{\partial}\varphi
+QR\varphi +\mu e^{\sqrt{2}b\varphi }\right) +S_{M}  \label{action}
\end{equation}%
where $Q=b+b^{-1}$, and we define the convenient notation $b^{-2}=k-2\in
\mathbb{R}_{>0}$. We will set the value of the Liouville cosmological
constant as $\mu =1$ by properly rescaling the zero mode of $\varphi (z)$
(see \cite{Yu} for an excellent review on Liouville theory). The specific
model representing the ``matter sector'' corresponds to a $c<1$ conformal
field theory defined by the action%
\begin{equation*}
S_{M}=\frac{1}{4\pi }\int d^{2}z\left( \partial X^{0}\bar{\partial}%
X^{0}-\partial X^{1}\bar{\partial}X^{1}-i\sqrt{k}RX^{1}+\Phi _{aux}\right) ,
\end{equation*}%
where the auxiliary field $\Phi _{aux}(z)$ is a perturbation, represented by
a relevant primary operator of the matter sector and properly dressed with
the coupling to the Liouville field in order to turn it into a marginal
deformation. This takes the form%
\begin{equation}
\Phi _{aux}(z)=(1/c_{k})\quad e^{-\sqrt{\frac{k-2}{2}}\varphi (z)+i\sqrt{%
\frac{k}{2}}X^{1}(z)},
\end{equation}%
where $c_{k}$ is simply a $k$-dependent numerical factor, see \cite{R} for
details. This is a perturbed CFT coupled to Liouville gravity in the spirit
of the models studied in Ref. \cite{Z}. The stress tensor of the theory is
then given by
\begin{equation*}
T(z)=-\frac{1}{2}\left( \partial \varphi \right) ^{2}+\frac{Q}{\sqrt{2}}%
\partial ^{2}\varphi -\frac{1}{2}\left( \partial X^{1}\right) ^{2}-i\sqrt{%
\frac{k}{2}}\partial ^{2}X^{1}+\frac{1}{2}\left( \partial X^{0}\right) ^{2},
\end{equation*}%
and leads to the central charge%
\begin{equation*}
c=\frac{3k}{k-2}.
\end{equation*}%
The fields $X^{0}(z)$ and $X^{1}(z)$ have time-like and space-like
signatures respectively; namely%
\begin{equation*}
\left\langle X^{0}(z_{1})X^{0}(z_{2})\right\rangle =-\left\langle
X^{1}(z_{1})X^{1}(z_{2})\right\rangle =2\ln |z_{1}-z_{2}|.
\end{equation*}

Auxiliary field $\Phi _{aux}(z)$ enters in the action as an interaction
term, involving the Liouville field $\varphi (z)$ and coupling it with the
field $X^{1}(z)$. From the viewpoint of the computation of correlation
functions, both the operator $\Phi _{aux}(z)$ and the cosmological term $\mu
e^{\sqrt{2}b\varphi (z)}$ play the role of screening charges in the Coulomb
gas-type realization. Actually, these are $(1,1)$-operators of the theory.
Then, different amounts of both operators would be required for the
correlation functions to be non-vanishing. However, we will focus the
attention to those correlators that do not involve insertion of the
perturbation field $\Phi _{aux}(z)$. These cases lead to the violation of
winding number conservation. A similar free field realization was
independently considered in \cite{F}.

The vertex operators in the theory are given by
\begin{equation}
\Phi _{j,m,\bar{m}}^{\omega }(z)=\frac{c_{k}\Gamma (-m-j)}{\Gamma (j+1+\bar{m%
})}e^{\sqrt{\frac{2}{k-2}}(j+\frac{k}{2})\varphi (z)+i\sqrt{\frac{2}{k}}(m-%
\frac{k}{2})X^{1}(z)-i\sqrt{\frac{2}{k}}(m+\frac{k}{2}\omega
)X^{0}(z)}\times h.c.
\end{equation}%
where $h.c.$ stands for the anti-holomorphic part, which also contains the
dependence on $\bar{m}$. It is worth pointing out that the normalization $%
\frac{c_{k}\Gamma (-m-j)}{\Gamma (j+1+\bar{m})}$ is the precisely the one
required in order to reproduce the one-to-one correspondence between
correlation functions in WZNW theory and Liouville theory. These are primary
operators and have conformal dimension%
\begin{equation*}
h_{j,m,\omega }=-\frac{j(j+1)}{k-2}-m\omega -\frac{k}{2}\omega ^{2}.
\end{equation*}%
This yields the mass spectrum of the theory through the Virasoro constraint $%
h_{j,m,\omega }=1$. On the other hand, the energy of the string states is
given by the quantity $E=m+\overline{m}+k\omega $, which includes both
kinetic and winding contributions. Now, we move to the correlation functions
involving these states.

\subsection{Particular correlation functions}

Here, we are interested in particular $N$-point correlation functions in the
theory. These are denoted as%
\begin{equation*}
A_{j_{1},j_{2},...j_{N};m_{1},m_{2},...m_{N}}^{\omega _{1},\omega
_{2},...\omega _{N}}=\left\langle \Phi _{j_{1},m_{1},\bar{m}_{1}}^{\omega
_{1}}(z_{1})\Phi _{j_{2},m_{2},\bar{m}_{2}}^{\omega _{2}}(z_{2})...\Phi
_{j_{N},m_{N},\bar{m}_{N}}^{\omega _{N}}(z_{N})\right\rangle
\end{equation*}%
and are those satisfying the particular relation $\omega _{1}+\omega
_{2}+...+\omega _{N}=2-N$. According to the free field realization described
in \cite{Yo}, these observables admit an integral representation of the form
\begin{equation*}
A_{j_{1},j_{2},...j_{N};m_{1},m_{2},...m_{N}}^{\omega _{1},\omega
_{2},...\omega _{N}}=\frac{\Gamma (-s)}{\left( c_{k}\right) ^{2-N}}%
\prod\limits_{d=1}^{N}\frac{\Gamma (-m_{d}-j_{d})}{\Gamma (j_{d}+1+\bar{m}%
_{d})}\prod\limits_{r=1}^{s}\int d^{2}w_{r}\left(
\prod\limits_{n=1}^{s}\prod\limits_{a=1}^{N}|z_{a}-w_{n}|^{\frac{4}{2-k}%
(j_{a}+\frac{k}{2})}\right. \times
\end{equation*}%
\begin{equation}
\times \left. \prod\limits_{l=1}^{s}\prod\limits_{t=1}^{l-1}|w_{l}-w_{t}|^{%
\frac{4}{2-k}}\prod\limits_{b=1}^{N}\prod\limits_{c=1}^{b-1}|z_{b}-z_{c}|^{%
\frac{4}{2-k}(j_{b}+\frac{k}{2})(j_{c}+\frac{k}{2})-2(m_{b}+m_{c}+\omega
_{b}m_{c}+\omega _{c}m_{b})+k(1-\omega _{b}\omega _{c})}\right)  \label{I2}
\end{equation}%
and, as it was mentioned above, correspond to those correlators which do not
receive perturbations of the form $\int d^{2}w\Phi _{aux}(w)$ but merely
contributions of the Liouville screening charge $\int d^{2}we^{\sqrt{2}%
b\varphi (w)}$. These represent ``maximally violating winding'' scattering
amplitudes in $AdS_{3}$ spacetime. In fact, except for the case of the
2-point function, the total winding number is not conserved in such
correlation functions as can be verified from the following conservations
laws
\begin{eqnarray}
&&\sum_{i=1}^{N}j_{i}+(N-2)\frac{k}{2}+s+1=0  \label{t13} \\
&&\sum_{i=1}^{N}\omega _{i}+N-2=0.  \label{conservation}
\end{eqnarray}%
These conservation laws are due to $\delta (x)$-functions arising in the
integration over the zero modes of the fields $\varphi (z),$ $X^{0}(z)$ and $%
X^{1}(z)$. Besides, correlators that also include ``screenings'' of the type
$\int d^{2}w\Phi _{aux}(w)$ do satisfy a different compensation relation, in
particular: $\omega _{1}+\omega _{2}+...+\omega _{N}=2-N+M$, where $M$ is
the amount of screening fields $\int d^{2}w\Phi _{aux}(w)$ involved in the
correlators (see \cite{Yo} for details). Then, in the case of the
three-point function, the only non-trivial result including the perturbation
field $\Phi _{aux}(w)$ would be the conserving winding three-point function
which is certainly well known. Let us focus on the non-conservative
amplitude.

\section{The three-point function}

\subsection{Integral representation}

The intention is to compute the three-point function that describes string
scattering amplitudes in $AdS_{3}$ for the case where the conservation of
the total winding number is violated; and we want to do this by using free
fields and without imposing any kinematic restriction on the involved
states. We denote such correlation function as%
\begin{equation*}
A_{j_{1},j_{2},j_{3};m_{1},m_{2},m_{3}}^{\omega _{1},\omega _{2},\omega
_{3}}=\left\langle \Phi _{j_{1},m_{1},\bar{m}_{1}}^{\omega _{1}}(z_{1})\Phi
_{j_{2},\frac{k}{2}-m_{1}-m_{3},\frac{k}{2}-\bar{m}_{1}-\bar{m}%
_{3}}^{-1-\omega _{1}-\omega _{3}}(z_{2})\Phi _{j_{3},m_{3},\bar{m}%
_{3}}^{\omega _{3}}(z_{3})\right\rangle ,
\end{equation*}%
where the quantum numbers are such that satisfy the conservation laws
leading to the non-vanishing result. Then, we will compute it by using the
approach described in \cite{Yo}. By means of the standard techniques of the
Coulomb gas-like prescription, this leads to the following multiple integral
in the whole complex plane%
\begin{equation*}
A_{j_{1},j_{2},j_{3};m_{1},m_{2},m_{3}}^{\omega _{1},\omega _{2},\omega
_{3}}=\Gamma (-s)c_{k}\prod\limits_{a\neq
b}^{3}|z_{a}-z_{b}|^{2(h_{1}+h_{2}+h_{3}-2h_{a}-2h_{b})}\times
\end{equation*}%
\begin{eqnarray}
&&\times \prod\limits_{c=1}^{3}\frac{\Gamma (-m_{c}-j_{c})}{\Gamma (j_{c}+1+%
\bar{m}_{c})}\prod\limits_{r=1}^{s}\int d^{2}w_{r}\left(
\prod\limits_{n=1}^{s}|w_{n}|^{\frac{4}{2-k}(j_{1}+\frac{k}{2})}|1-w_{n}|^{%
\frac{4}{2-k}(j_{2}+\frac{k}{2})}\prod\limits_{l=1}^{s}\prod%
\limits_{t=1}^{l-1}|w_{l}-w_{t}|^{\frac{4}{2-k}}\right) \times  \notag \\
&&\times \delta (m_{1}+m_{2}+m_{3}-k/2)\delta (\bar{m}_{1}+\bar{m}_{2}+\bar{m%
}_{3}-k/2)\delta (s+j_{1}+j_{2}+j_{3}+1+k/2)  \label{I}
\end{eqnarray}%
where $\int d^{2}w_{r}=\frac{1}{2\pi i}\int dw_{r}\int d\overline{w}_{r}$.
The integration over the zero-mode of the fields $\varphi (z)$, $X^{0}(z)$
and $X^{1}(z)$ states that the amount of integrals to be performed is given
by $s=-j_{1}-j_{2}-j_{3}-\frac{k}{2}-1$, while the momenta obey the
conservation laws $m_{1}+m_{2}+m_{3}=\bar{m}_{1}+\bar{m}_{2}+\bar{m}_{3}=%
\frac{k}{2}$. Consequently, the conservation of the winding number is
violated in one unit, namely $\omega _{1}+\omega _{2}+\omega _{3}=-1$.
Notice that the integral (\ref{I}) is a Dotsenko-Fateev integral (similar to
those arising in the minimal models) and can be explicitly solved by using
the results of Ref. \cite{DF}. It is worth pointing out that, as it is usual
within similar contexts, the integral formula of the type (\ref{I2}) has to
be understood formally, and a kind of analytic extension of it is required
in order to construct generic correlators with non-integer $s$. The features
related to such analytic extension are basically two: First, it is evident
that the products of the form $\prod_{n=1}^{s}$ in (\ref{I}) only make sense
for positive integers $s$. Then, the analytic continuation of the formulas
containing such products (after integration) is needed in order to consider
generic values of the momenta (see Ref. \cite{GL} for more details). For
instance, this is similar to what occurs in the computation of correlation
functions in 2D minimal gravity, \cite{D}. The second issue is the presence
of the overall factor $\Gamma (-s),$ which arises after integrating over the
zero mode of the Liouville field $\varphi (z)$. This factor diverges for
positive integers $s,$ and such a divergence is associated to the
non-compactness of the theory, \cite{dFK}. Here, we follow standard paths in
this kind of computation and proceed by assuming an analytic continuation of
the formulas obtained after the integration. Then, we can integrate out (\ref%
{I}) by using the following identity (see Ref. \cite{GN3})

\begin{equation*}
I_{s}(J_{1},J_{2};k)=\prod\limits_{r=1}^{s}\int d^{2}w_{r}\left(
\prod\limits_{n=1}^{n}|w_{n}|^{\frac{4}{k-2}J_{1}-2}|1-w_{n}|^{\frac{4}{k-2}%
J_{2}}\prod\limits_{l=1}^{s}\prod\limits_{t=1}^{l-1}|w_{l}-w_{t}|^{\frac{4}{%
2-k}}\right) =
\end{equation*}%
\begin{eqnarray}
&=&\frac{(k-2)}{\Gamma (-s)}\left( \frac{\pi \Gamma \left( \frac{1}{k-2}%
\right) }{\Gamma \left( 1-\frac{1}{k-2}\right) }\right) ^{s}\frac{\Gamma
(-1-J_{1}-J_{2}-J_{3})\Gamma (2J_{2}+1)\Gamma (J_{1}-J_{2}-J_{3})\Gamma
(-J_{1}-J_{2}+J_{3})}{\Gamma (2+J_{1}+J_{2}+J_{3})\Gamma (-2J_{2})\Gamma
(1-J_{1}+J_{2}+J_{3})\Gamma (1+J_{1}+J_{2}-J_{3})}\times  \notag \\
&&\times \frac{%
G_{k}(-2-J_{1}-J_{2}-J_{3})G_{k}(-1-J_{1}+J_{2}-J_{3})G_{k}(-1+J_{1}-J_{2}-J_{3})G_{k}(-1-J_{1}-J_{2}+J_{3})%
}{G_{k}(-1)G_{k}(-2J_{1}-1)G_{k}(-2J_{1}-1)G_{k}(-2J_{3}-1)}\times  \notag \\
&&  \label{I3}
\end{eqnarray}%
where $J_{3}$ has been defined by $J_{3}=s-J_{1}-J_{2}-1$, and where the
special function $G_{k}(x)$ is defined through%
\begin{equation*}
G_{k}(x)=(k-2)^{\frac{x(k-1-x)}{2(k-2)}}\Gamma _{2}(-x|1,k-2)\Gamma
_{2}(k-1+x|1,k-2),
\end{equation*}%
where the Barnes function $\Gamma _{2}(x|1,y)$ is given by%
\begin{equation*}
\ln \Gamma _{2}(x|1,y)=\lim_{\varepsilon \rightarrow 0}\frac{d}{d\varepsilon
}\sum\limits_{n=0}^{\infty }\sum\limits_{m=0}^{\infty }\left(
(x+n+my)^{-\varepsilon }-(1-\delta _{n,0}\delta _{m,0})(n+my)^{-\varepsilon
}\right)
\end{equation*}%
where the presence of the factor $(1-\delta _{n,0}\delta _{m,0})$ in the
right hand side means that the sum in the second term does not take into
account the step $m=n=0$.

Some useful functional relations of these functions are the following%
\begin{eqnarray}
G_{k}(x) &=&G_{k}(-x-k+1)  \label{uno} \\
G_{k}(x) &=&G_{k}(x+1)\gamma \left( 1+\frac{1+x}{k-2}\right)  \label{dos} \\
G_{k}(x) &=&G_{k}(x-k+2)(k-2)^{2x+1}\gamma (-x)  \label{tres}
\end{eqnarray}%
where we have made use of the standard notation%
\begin{equation*}
\gamma (x)=\frac{\Gamma (x)}{\Gamma (1-x)}.
\end{equation*}%
The $G_{k}(x)$ function develops simple poles at $x=p+q(k-2)$ and $%
x=-1-p-(1+q)(k-2)$, for $p,q\in {\mathbb{Z}}_{\geq 0}$. The functional
properties (\ref{uno})-(\ref{tres}), due to the fact that these involve the $%
\gamma (x)$ function as well, can be used to prove the above integral
formula for $I_{s}(J_{1},J_{2};k)$ in the case one prefers starting with the
Dotsenko-Fateev expression in terms of product of $\Gamma (x)$ functions
(see Appendix of Ref. \cite{DF}). The important point here is that the
integral $I_{s}(J_{1},J_{2};k)$ precisely agrees with the one we have to
compute through the identification $J_{1}=-1-j_{1}$, $J_{2}=-\frac{k}{2}%
-j_{2}$ and $J_{3}=-1-j_{3}$. Then, we are ready to evaluate the three-point
function. First, notice that the relations (\ref{uno})-(\ref{tres}) help us
in writing%
\begin{eqnarray*}
G_{k}(-1-j_{1}+j_{2}+j_{3}+k/2) &=&\frac{G_{k}(j_{1}-j_{2}-j_{3}-k/2)}{%
\gamma (-j_{1}+j_{2}+j_{3}+k/2)}(k-2)^{k-1-2(j_{1}-j_{2}-j_{3})}, \\
G_{k}(-1+j_{1}+j_{2}-j_{3}+k/2) &=&\frac{G_{k}(-j_{1}-j_{2}+j_{3}-k/2)}{%
\gamma (j_{1}+j_{2}-j_{3}+k/2)}(k-2)^{k-1+2(j_{1}+j_{2}-j_{3})}
\end{eqnarray*}%
and also%
\begin{equation*}
G_{k}(2j_{2}+k-1)=G_{k}(1-2j_{2}-k)(k-2)^{2(2j_{2}+k-1)}\gamma
(1-2j_{2}-k)\gamma \left( 1-\frac{2j_{2}+k-1}{k-2}\right) .
\end{equation*}%
Since we are mainly interested in the string theory applications (and
consequently in ``correlation numbers'' instead of correlation functions) we
can make use of the projective invariance and set the worldsheet inserting
points as usual: $z_{1}=0,$ $z_{2}=1$ and $z_{3}=\infty $. By integrating
out and using the functional relations (\ref{uno})-(\ref{tres}) we find the
following expression for the violating three-point correlation number%
\begin{equation*}
A_{j_{1},j_{2},j_{3};m_{1},m_{2},m_{3}}^{\omega _{1},\omega _{2},\omega
_{3}}=(k-2)\left( \pi \gamma \left( \frac{1}{k-2}\right) \right)
^{-j_{1}-j_{2}-j_{3}-\frac{k}{2}-1}\frac{c_{k}\Gamma (-m_{1}-j_{1})\Gamma
(-m_{2}-j_{2})\Gamma (-m_{3}-j_{3})}{\Gamma (j_{1}+1+\bar{m}_{1})\Gamma
(j_{2}+1+\bar{m}_{2})\Gamma (j_{3}+1+\bar{m}_{3})}\times
\end{equation*}%
\begin{eqnarray}
&&\times \frac{G_{k}(j_{1}+j_{2}+j_{3}+\frac{k}{2})G_{k}(-j_{1}-j_{2}+j_{3}-%
\frac{k}{2})G_{k}(j_{1}-j_{2}-j_{3}-\frac{k}{2})G_{k}(1+j_{1}-j_{2}+j_{3}-%
\frac{k}{2})}{\gamma \left( -j_{1}-j_{2}-j_{3}-\frac{k}{2}\right) \gamma
\left( -\frac{2j_{2}+1}{k-2}\right)
G_{k}(-1)G_{k}(2j_{1}+1)G_{k}(1-k-2j_{2})G_{k}(2j_{3}+1)}\times  \notag \\
&&\times \delta (m_{1}+m_{2}+m_{3}-k/2)\delta (\bar{m}_{1}+\bar{m}_{2}+\bar{m%
}_{3}-k/2)\delta (s+j_{1}+j_{2}+j_{3}+1+k/2).  \label{result}
\end{eqnarray}%
where we preferred writing this in such a way because it permits to compare
with the results in the literature (although the replacement $%
j_{i}\rightarrow -j_{i}$ is still necessary to compare with Ref. \cite{MO3}%
). In fact, this formula exactly agrees with the one found in the literature
by using rather different approaches (see also \cite{Yo2}). Besides, this
extends previous computations which were done by using free field techniques
because it does represent the ``generic'' three-point violating winding
amplitude in $AdS_{3}$. Notice that this computation does not require the
insertion of the spectral flow operator (conjugate representations of the
identity operator) and seems to be valid for states with generic winding
number (spectral flow parameter $\omega $). In particular, the fact that
this computation did not make use of the spectral flow operator is actually
interesting. The inclusion of such additional vertex in the correlators with
the purpose of realizing the violation of the winding number is actually one
of the most ingenious tricks; however, from the viewpoint of the standard
prescription for computing correlation functions, the introduction of such
an operator could appear as a little heterodox; then, having found an
alternative way of calculating seems to be a good point. Besides, it is
worth mentioning that the formula above is consistent with the FZZ
conjecture (cf. Ref. \cite{FH}).

\subsection{Remarks on the pole structure}

Some remarks are in order: First, besides the usefulness of expression (\ref%
{result}) in order to compare with the results of \cite{MO3} and \cite{Yo2},
the result can be also written in a way such that the symmetry under
interchanges $j_{i}\leftrightarrow j_{j}$ for $i,j\in \{1,2,3\}$ turns out
to be explicit. By using the relations (\ref{uno}) and (\ref{dos}) we can
write (\ref{result}) in the following form, where such symmetry manifestly
appears,%
\begin{equation*}
A_{j_{1},j_{2},j_{3};m_{1}m_{2},m_{3}}^{\omega _{1},\omega _{2},\omega
_{3}}=(k-2)\left( \pi \gamma \left( \frac{1}{k-2}\right) \right)
^{-\sum_{a=1}^{3}j_{a}-\frac{k}{2}-1}\prod_{b=1}^{3}\frac{\Gamma
(-m_{b}-j_{b})G_{k}(2j_{b}-\sum_{a=1}^{3}j_{a}-k/2)}{\Gamma (j_{b}+1+\bar{m}%
_{b})G_{k}(2j_{b}+1)}\times
\end{equation*}%
\begin{equation*}
\times \frac{c_{k}\gamma
(1+\sum_{a=1}^{3}j_{a}+k/2)G_{k}(\sum_{a=1}^{3}j_{a}+k/2)}{G_{k}(-1)}\delta
(\sum_{a=1}^{3}m_{a}-k/2)\delta (\sum_{a=1}^{3}\bar{m}_{a}-k/2)\delta
(s+\sum_{a=1}^{3}j_{a}+1+k/2).
\end{equation*}%
On the other hand, notice that we can obtain the two-point function by
properly performing the limit $j_{2}\rightarrow -k/2$ in the expression for
the three-point function we just obtained. This is because the 2-point
function does conserve the winding number. In fact, by taking into account
the functional relation%
\begin{equation*}
\lim_{\varepsilon \rightarrow 0}\frac{G_{k}(\varepsilon -x)G_{k}(\varepsilon
+x)}{G_{k}(2\varepsilon +1)}=-2\pi i(k-2)G_{k}(-1)\gamma \left( 1+\frac{1}{%
k-2}\right) \delta (x)
\end{equation*}%
and using (\ref{dos}) we find that in the limit $\varepsilon
=-j_{2}-k/2\rightarrow 0$ the expression (\ref{tres}) reduces to%
\begin{equation*}
A_{j_{1},,j_{3};m_{1},m_{3}}^{\omega _{1},\omega _{3}}=-2\pi
i(k-2)^{2}\left( \pi \gamma \left( \frac{1}{k-2}\right) \right) ^{-2j_{1}-1}%
\frac{c_{k}\gamma \left( 2j_{1}+1\right) \Gamma (-m_{1}-j_{1})\Gamma
(m_{1}-j_{1})}{\gamma \left( -\frac{2j_{1}+1}{k-2}\right) \Gamma (j_{1}+1+%
\bar{m}_{1})\Gamma (j_{1}+1-\bar{m}_{1})}\times
\end{equation*}%
\begin{equation}
\times \delta (m_{1}+m_{3}-k/2)\delta (\bar{m}_{1}+\bar{m}_{3}-k/2)\delta
(j_{1}-j_{3}).  \label{2p}
\end{equation}%
This is, up to a $k$-dependent factor, the reflection coefficient, and is
non vanishing only for the cases fulfilling the conditions $m_{1}+m_{3}=\bar{%
m}_{1}+\bar{m}_{3}=\omega _{1}+\omega _{3}=0$.

Other comment regards the operator product expansion. The OPE and,
consequently, the fusion rules of the theory are codified in the pole
structure of the three-point function. The OPE for the $\omega =0$ sector of
the Hilbert space was studied in detail in Ref. \cite{S} and was analyzed in
relation with the four-point function in Ref. \cite{MO3}. Here, we want to
make a few remarks on the mixing between sectors $\omega =0$ and $\omega =1$%
. Let us consider the short distance behavior
\begin{eqnarray}
\Phi _{j_{1},m_{1}}^{\omega _{1}=0}(z_{1})\Phi _{j_{2},m_{2}}^{\omega
_{2}=0}(z_{1}) &\simeq &\sum_{\omega }\int_{C}dj\ dm\ d\overline{m}\quad
|z_{1}-z_{2}|^{2(h_{j,m,\omega }-h_{j_{1},m_{1},\omega
_{1}}-h_{j_{2},m_{2},\omega _{2}})}\times  \notag \\
&&\times Q_{k}(j_{1},j_{2},j;m_{1},m_{2},m;\omega )\{\Phi _{j,m}^{\omega
}(z_{1})\}+...  \label{OPE}
\end{eqnarray}%
where the dots \textquotedblleft ...\textquotedblright\ stand for
\textquotedblleft other contributions\textquotedblright , and where the
coefficient $Q_{k}(j_{1},j_{2},j;m_{1},m_{2},m;\omega )$ is given by a
quotient between the structure constant (\ref{result}) and the reflection
coefficient (\ref{2p}) of two states with winding number $\omega =1$. To be
precise, a change of sign in such expression also appears because of a
replacing $m_{3}\rightarrow -m$. Because the pole structure of the structure
constants determine the OPE, the arising of the factor $\gamma
^{-1}(-j_{1}-j_{2}-j_{3}-k/2)$ in (\ref{result}) turns out to be important
since it cancels a simple pole coming from the function $%
G_{k}(j_{1}+j_{2}+j_{3}+k/2)$. The sum $\sum_{\omega }$ over the quantum
number ${\omega }$ stands for making explicit that the fusion rules can lead
to the mixing of sectors due to the spectral flow symmetry and eventually
yield the violation of the winding conservation up to one in the three-point
function; accordingly, $\omega \in \{0,\pm 1\}$. On the other hand, the
region of integration $C$, schematically represented in the formal sum $%
\int_{C}dj$ $dm$ $d\overline{m}$, is defined in such a way that the
integration over the indices $j\in -\frac{1}{2}+i\mathbb{R}$ and $\alpha \in
\lbrack 0,1)$ of the continuous series $\mathcal{C}_{j}^{\alpha ,\omega }$
is performed, and so for the contributions due to the poles corresponding to
states of the discrete series $\mathcal{D}_{j}^{\pm ,\omega =1}$. I.e. the
definition of $C$ is understood as running over the sets $\mathcal{C}%
_{j}^{\alpha ,\omega }=\{j,m$ / $j\in -\frac{1}{2}+i\mathbb{R}$, $\alpha \in
\lbrack 0,1)$, $m\in \alpha +{\mathbb{Z}}_{\geq 0}\}$ and encloses the poles
belonging to the sets $\mathcal{D}_{j}^{\pm ,\omega }=\{j,m$ / $j\in \mathbb{%
R}_{<-\frac{1}{2}}$, $m=\pm (j-n)$, $n\in {\mathbb{Z}}_{\geq 0}\}$. These
sets parameterize the (universal covering of the) unitary representations of
$SL(2,\mathbb{R})$ that are relevant for the string theory applications. For
\textquotedblleft picking up\textquotedblright\ the poles corresponding to
the discrete states contributions, the contours included in $C$ have to be
properly chosen and a regularization procedure is required in those cases
where different poles turn out to coincide, \cite{S}. Besides, the sum over
the quantum numbers $j$, $m$, $\overline{m}$ and $\omega $ in the OPE (\ref%
{OPE}) has to take into account the fact that certain states of discrete
representations of both sectors $\omega =0$ and $\omega =1$ are related one
each other through the identification $\mathcal{D}_{j}^{\pm ,\omega =1}\sim
\mathcal{D}_{-k/2-j}^{\mp ,\omega =0}$, similarly as what occurs in the
compact $SU(2)_{k}$ case. Besides, a lower bound on the sum over $j$ is
required in order to guarantee the unitarity of the spectrum; namely $2j>1-k$%
. In the case on which we were interested here, unlike the case when the OPE
is considered as being closed among the states of sector $\omega =0$, it is
not necessary to distinguish between discrete $\mathcal{D}_{j}^{\pm ,\omega
} $ and continuous series $\mathcal{C}_{j}^{\alpha ,\omega }$ in order to
analyze the $m$-dependent pole structure of $%
Q_{k}(j_{1},j_{2},j;m_{1},m_{2},m;1)$. This is due to the fact that,
remarkably, the dependence of the violating winding amplitude (\ref{result})
on the parameters $m$ and $\overline{m}$ turns out to be substantially
simpler than the one that corresponds to the winding conserving case. This
is explained by the fact that the field $\Phi _{aux}(z)$ depends on $%
X^{1}(z) $ as well. Hence, the whole pole structure of $%
Q_{k}(j_{1},j_{2},j;m_{1},m_{2},m;1)$ is basically given by the poles of (%
\ref{result}) and by the poles of the $\Gamma (x)$-functions (occurring at $%
x\in {\mathbb{Z}}_{<0}$) arising in the denominator of (\ref{2p}). Within
this framework, it would be certainly interesting to extend the study made
in \cite{S} and \cite{HS} for the case of violating amplitudes. This could
help in understanding the factorization properties of the four-point
function in the $SL(2,R)_{k}$ WZNW model. As mentioned before, the OPE was
studied in connection to the four-point function in Ref. \cite{MO3}, where
it was proven that two incoming states belongings to the sector $\omega =0$
can produce intermediate states with both $\omega =0$ and $\omega =1$.
However, further study is necessary to fully understand the factorization of
the four-point function and our hope is that the free field representation
can help in doing this.

\subsection{Remarks on the $sl(2)_{k}$ invariance}

Now, let us make some remarks about the $sl(2)_{k}$ symmetry of the action (%
\ref{action}). Such symmetry should to be present in the theory since what
one is actually doing is asserting the identity between the free field
realization $Liouville$ $\times U(1)\times U(1)$ and the $SL(2,R)_{k}$ WZNW
model. In fact, \emph{ab initio}, we know that this construction actually
presents such $sl(2)_{k}$ symmetry since it turns out to reproduce those
solutions of the Knizhnik-Zamolodchikov equations that Ribault has found in
Ref. \cite{R}. However, even though the solutions we obtain have the
appropriate symmetry, the question arises as to why does it happen if the
Liouville interaction term $e^{\sqrt{2}b\varphi (z)}$ does not seem to have
regular OPE with the $SL(2,R)_{k}$ currents though. To be precise, even
though one knows that the free field representation presented in Ref. \cite%
{Yo}\ turns out to transform properly by construction (it reproduces
solutions of the KZ\ equation), \ it is also true that it is not obvious
that the Liouville interaction term regarded as a screening charge commutes
with the free field representation of the $sl(2)_{k}$ current algebra as one
could naively expect. Again, why does it happen? The answer to this question
yields from noticing that also the vertex operators $\Phi _{j,m,\overline{m}%
}^{\omega }(z)$ do not satisfy the usual OPE that the vectors of the $%
SL(2,R) $ representations satisfy according to the usual picture. In
particular, it is worth noticing that the $m$-dependent overall factor of
such vertex operators plays a crucial role for this condition to hold.
Again, to be precise, let me make the following observation: The
stress-tensor of the free field theory presented here can be thought of as
the Sugawara construction starting from the following generators of the $%
sl(2)_{k}$ affine algebra

\begin{eqnarray*}
J^{\pm }(z) &=&-i\sqrt{\frac{k}{2}}\partial Y^{1}(z)e^{\mp i\sqrt{\frac{2}{k}%
}(Y^{0}(z)+Y^{1}(z))}\pm \sqrt{\frac{k-2}{2}}\partial \rho (z)e^{\mp i\sqrt{%
\frac{2}{k}}(Y^{0}(z)+Y^{1}(z))} \\
J^{3}(z) &=&i\sqrt{\frac{k}{2}}\partial Y^{0}(z)
\end{eqnarray*}%
\bigskip which follow from the free field redefinition \cite{Yo}%
\begin{eqnarray*}
\rho (z) &=&(1-k)\varphi (z)+i\sqrt{k(k-2)}X^{1}(z) \\
Y^{1}(z) &=&(k-1)X^{1}(z)+i\sqrt{k(k-2)}\varphi (z) \\
Y^{0}(z) &=&-X^{0}(z)
\end{eqnarray*}%
Then, as it can be verified, these currents do not have regular OPE with the
Liouville cosmological constant term as one could naively expect. However,
the non trivial point is that this is precisely what makes the $SL(2,R)_{k}$
to be recovered. Namely, these currents do not presents regular OPE with the
Liouville cosmological term $e^{\sqrt{2}b\varphi (z)}$, but these do not
satisfy the usual OPE with the vertex operators $\Phi _{j,m,\overline{m}%
}^{\omega }(z)$ either; and both facts seem to combine in such a way that
explain why the formulas obtained for the correlators by using this free
field representation turn out to be $SL(2,R)_{k}$ invariant. Let me
emphasize that the proof of such $SL(2,R)_{k}$ invariance of the correlators
simply follows from the fact that these exactly solve the KZ\ equation,
since lead to the solutions of \cite{R} with the appropriate normalization
factor, as by means of the Coulomb gas-like prescription in \cite{Yo}.
Furthermore, let us notice that this is precisely one of the two aspects
that make of this free field construction in terms of the product $%
Liouville\times U(1)\times U(1)$ a non trivial one. Namely, the first non
trivial point is the fact that this construction does not seem to follow
from a simple field redefinitions (\emph{i.e.} there is no clear way for
obtaining this tachyonic interaction term through bosonization, for
instance), and the second non trivial point is precisely the use of this non
standard representations $\Phi _{j,m,\overline{m}}^{\omega }$ which, once
combined with the Liouville cosmological term, restores the $SL(2,R)_{k}$
invariance that the correlators one computes manifest.

\section{Conclusion}

By using the free field representation introduced in \cite{Yo}, we have
computed the three-point winding violating amplitude in $AdS_{3}$ for the
generic case, \textit{i.e.} without imposing the highest-weight state
condition $m_{a}\pm j_{a}=0$ on any vertex and without making assumptions on
the angular momenta $m_{a}-\bar{m}_{a}$. Besides, this computation seems to
involve vertex operators of generic winding number $\omega _{a}$, without
resorting to subtle tricks for defining the vertex of sectors $\omega >1$.
Then, it shows that the free field method turns out to be powerful enough to
reproduce the three-point winding violating amplitude on the sphere in
complete agreement with other calculations. Notice that even the factor $%
\gamma ^{-1}\left( -j_{1}-j_{2}-j_{3}-\frac{k}{2}\right) $ has been
reproduced here and the correct $m$-dependent factor has been also obtained.
This result represents a consistency check for the realization proposed in
\cite{Yo}, which now has shown to be useful to compute string scattering
amplitudes. We emphasize that our result is based on the free field
representation of Ref. \cite{Yo}, which was defined to exactly realize the
solutions of the Knizhnik-Zamolodchikov equation given in Ref. \cite{R}.
\begin{equation*}
\end{equation*}

\textbf{Acknowledgement:} It is a pleasure to thank the Centro de Estudios
Cient\'{\i}ficos en Valdivia (CECS) for the hospitality during my stay,
where the first part of this work was done; and the Universit\'{e} Libre de
Bruxelles (ULB), where the revised version of the manuscript was written. I
also thank Yu Nakayama for discussions and important remarks. This work was
supported by Universidad de Buenos Aires and CONICET.


You are now a member of a community dedicated to academic achievement, learning, and personal growth. The Department of Residence Life at the University of Alaska Fairbanks hopes to provide you the ability to enjoy and benefit from a vibrant learning environment, as well as grant you the opportunity to responsibly contribute to your community by keeping it safe, healthy, and enjoyable for all. Your residential environment will provide the opportunity to experience new concepts, different cultures, an active community, and a pleasant and comfortable living space. Our goal is that your learning experiences outside the classroom encourage and enhance the academic mission of the University. This handbook is designed to help you make the most of your time as a resident and understand the policies and standards that apply while you are living on campus. Please familiarize yourself with its contents as you are responsible for knowing and complying with this information. We hope you will get involved in your residential community; make it your "home away from home." We are pleased that you chose to live on campus. Our staff is dedicated to making your living experience a positive and successful one. Best wishes for a successful year!


Raining Cats and Dogs – working on hand quilting this.
… I've got 2 bins of Kits that have not been started yet….
Do you think it is too late for me to finish 6 quilts too?
I'm sure you could if you really wanted to.
I have a feeling you may far surpass six!


text:
home More Power Rangers Minecraft Pack Announced
Power Rangers Minecraft Pack Announced
By PowerRangersNOW Posted in More
The Mighty Morphin Power Rangers are morphing into Minecraft!
The popular game is receiving a brand new Power Rangers pack update, as announced on Minecraft's official website, which users can download for free on Console, Pocket, or Windows 10.
"Mighty Morphing Power Rangers? How about… Miney Morphing Power Rangers? Hmmm, maybe not. What's got us so excited we're throwing out puns this awful so early in the week? A new skin pack in Minecraft of course! The Power Rangers pack launches today on Console, Pocket and Windows 10 Edition. Go go, MINEY Morphing Power Rangers! (Hey, it's catching on!)"
Players will be able to use this skin to build unreal worlds and sets, all based on the original Mighty Morphin Power Rangers TV show. And included in the pack are not only are the core 6 Power Rangers (Red, Blue, Black, Yellow, Pink, Green), but so are popular series villains and allies such as Lord Zedd, Bulk & Skull, Ninjor, the Megazord, and more!
Minecraft artist Mike Fielder talked to WWG.com about what it means to finally give Minecraft such a mighty morphin boost.
"As a teen I remember getting out of school, grabbing a snack and settling into the cartoon line-up,. Part of that routine was watching Power Rangers. When I found out we would be working on a Minecraft version of some of the character line-up I was pretty excited and even more so when I found out Bulk and Skull would be included since they were my favorite characters. I had a blast creating Minecraft versions of these characters. I hope everyone who uses these skins has as much fun playing them as I did creating them."
The Mighty Morphin Power Rangers Minecraft pack is available now!
One thought on "Power Rangers Minecraft Pack Announced"
Myles' Mom says:
My six year old has requested that I contact the maker of the power rangers skin pack to ask for the unmorphed version of the characters to be created. He would also like to know why you cannot have five players when there are five rangers.

redpajama_set_name: RedPajamaCommonCrawl


text:
Voting on Front Lines: Ukraine's Election and War with Russia
Europe Latest Stories World
By Editor March 29, 2019 March 29, 2019
At the height of the conflict in 2014, the people of Mariupol, Ukraine, feared their city would be the next to fall to Russian-backed rebel forces.
The threat of annexation by Moscow has subsided for now. But the front line lies just six kilometers (3.7 miles) to the east — and the conflict continues to have a big impact on everyday life in the city.
Moscow's detention of two dozen Ukrainian sailors seized in a naval clash just offshore in November underlines the continued threat.
Faced with such challenges, how do the people of Mariupol view Sunday's presidential election? And who holds the key to ending the conflict? Amid the election campaigns, frustration and exhaustion are palpable.
"I like any of the candidates, but not the one who is in power now. We need more authority for us to have peace, for our economy to grow, for us to be prosperous," Mariupol resident Tatyana told VOA.
Aleksandr Sidorov, a soldier on leave from the front line, believes the next president can do little about the war with Russia. He's focused on domestic issues.
"The main issue for me is for all the corrupt people to be imprisoned," he said.
Young mother Alina Arabadzhi plans to vote for comedian-turned-presidential candidate Volodymyr Zelensky.
"Why Zelensky? Because it is a new face. Because he has no vested interests. He hasn't been in politics a single day," she said.
The war is having a huge effect on the local economy. Mariupol used to be an export hub for the Donbas region, Ukraine's former industrial powerhouse. Most of that region is now controlled by Russian-backed separatists and has been all but cut off.
Two giant steel plants still dominate Mariupol's skyline, bringing prosperity but also choking pollution. The products are shipped around the world from the nearby port. However, since its forceful seizure of Crimea in 2014, Russia controls shipping access to the Sea of Azov via the Kerch Strait — effectively giving it a stranglehold on a key artery of Mariupol's economy.
The director of the port, Aleksandr Aleksandrovich, said he is losing over $7.5 million a year in business.
"Starting in April 2018, Russia started to search all the ships which enter the Azov Sea to reach Ukrainian ports. Then after loading, they check them again when they return back to the Black Sea. The waiting time, the route time, has increased, and it's had a great financial impact on our export clients," Aleksandrovich told VOA.
Amid the upheaval, there has been progress in some areas. The organization, Halabuda, began as a group of volunteers taking supplies to soldiers on the front line. It has now morphed into an advice group for residents and businesses.
"A question that concerns every single citizen of Ukraine is corruption. Compared to the corruption in law enforcement that we had five years ago, now after the reforms, we nearly eradicated corruption at the level of the traffic police," said Halabuda founder Dmitry Chichera.
Corruption and conflict: generational challenges with no easy answers. The people of Mariupol are desperate for change and for the war to end. They know that whoever becomes president, the threat from the east is unlikely to end anytime soon.
Voit homers, Tanaka strong, Yanks beat O's 7-2 in opener
Freeland goes 7 innings as Rockies beat Marlins 6-3
Bonnaroo to offer all-night stage for dance, hip-hop artists
Editor March 23, 2017 March 22, 2017
Dragic hits go-ahead shot, Heat top Pacers 113-112
Editor December 28, 2019 December 28, 2019
Germany's Expected Next Chancellor Names Epidemiologist New Health Minister
NDT Bureau December 7, 2021 December 7, 2021


There's a small hitch for certain businesses, especially those who are mobile. That's where landscaping signs come into play. You spend your day on the go, and you might not even have a physical site to work from. Which means you need a wide range of landscaping signs to spread the word about your business. There are so many different types of landscaping signs available, that you are sure to find the right fit for you. You want yard signs and landscape truck magnets. Landscaping signs can attract new customers, especially if they see your sign while you're at work. Or, perhaps spot your landscape trailer signs as you travel to and from job sites. Your vehicles will serve as mobile advertisements and metal yard signs will be part of your portfolio. We have banners, decals, stickers, yard signs with stakes, and even entrance sign landscaping options.
Landscaping lawn signs are the key to giving your business a more professional edge. What better way for you to advertise your business than by having lawn care sign stakes to let people know this is your work, right? This is something that gardeners, landscape architects, and even lawn care companies understand. They know that they can place simple landscape yard signs in the lawns they have worked on and everyone passing will spot them. So, it only makes sense that you would design some custom landscaping lawn signs to let people know who you are. Most customers are more than happy to allow you to leave your lawn care sign stakes for a specific period of time. Your best bet is to have this written into the contract before you start work. That way, you'll know exactly where and for how long you can stake your sign.
It doesn't stop there, though, let's not forget about landscaping magnetic signs and what they can do for your business. Let's check out the ability to create an affordable mobile advertisement!
For a lot of small businesses, signage, branding, and marketing are a challenge. It's understandable. They just don't have the same marketing budget as a larger company does. That doesn't mean they can't maximize it, though. Landscaping magnetic signs are an excellent tool to do this. On the one hand, when you are parked up at jobs, people will easily see what business you represent. They will easily spot your contact information, whether it's landscape trailer signs or landscape truck magnets. So, you're seen on the job. Then, you are seen wherever you park. Better yet, everyone where you drive, those landscaping magnetic signs are going to get you noticed. Just think of how much time you spend driving from job to job. How often do you get caught up in rush hour traffic? It's easy to see how effective the right landscaping magnetic signs can be, isn't it?
Here is what a lot of small businesses don't understand. When people see a garden or a lawn that looks impeccable they will wonder about who did it. Unless they personally know the person that lives (or works) at that property, they will never ask. So, for you, landscaping yard signs are the perfect opportunity to make sure everyone knows exactly who did this work. When they spot your stunning work and wonder who did it, they'll see your lawn business signs and know exactly whom to call. They don't just highlight the services you offer, lawn business signs increase your exposure, too. Landscaping yard signs just make it easier to grow your business!
Not all landscaping lawn signs are to advertise your business. There are some cases where your landscaping sign designs will communicate information to people. For example, if you have just laid new grass, then you'll want people to stay away from it. What if you've just treated the lawn and it needs to remain water and activity free for a specific period of time? That's where lawn treatment signs come into play. This will let visitors and owners know that they need to stay off the grass. Or, let dog walkers know to keep their dog away from the treatment area.
There are all different types of lawn treatment signs available. You will know best which ones are the most appropriate for your business. If there's something you need, but don't see, just get in touch with us and talk us through your needs. We're a custom shop, so we can print whatever lawn care signs you need.
So, you have some landscaping sign designs in mind? That's great! Let's just highlight a few key aspects of designing the ultimate signs.
Color: the color is one of the most important things. You want something that will be sure to catch eyes. However, once you have caught those eyes, you want your landscaping signs to be legible. So, avoid lights on lights and darks on darks. You want a great typeface color that will pop against the background you have chosen. Don't forget about your brand colors, too! You want to create a connection with people and your color scheme will help you build your brand.
Typeface have you ever seen a sign and been unable to read it Was it the color, the size or, was it the typeface? There's nothing worse than seeing a font that is impossible to read. Make sure you choose a clear, bold, and professional typeface for your lawn care signs.
Message: there will be a lot that you want to say on your landscaping signs. Just keep it simple who are you, what do you do, how can they find you? Those are the three main messages you want to get across.
As long as you put as much thought and care into your landscaping sign designs as you do into your lawn work, your new lawn care signs will be sure to win you, new customers. Whether a simple, single design is enough for you or you want a full range of landscaping lawn signs, we can help you with your order. If you have numerous designs in mind, don?t worry. We don't enforce a minimum order, so you can order one of each of your design ideas and see which ones are the most impactful. This is particularly great if you're working on a new logo or design idea. If they work, you can branch out with those landscaping sign designs and have a full range of promotional material printed! It?s always easier to feel confident about your designs when you've seen them in action.
The thing about landscaping signs is that they simply highlight the work that you do. Instead of silently visiting neighborhoods, leaving stunning work behind for everyone to wonder about. You can leave lawn care sign stakes in the ground and let everyone know you can do the same for them.
Every lawn care professional knows the challenge of landscaping around signs. Luckily, your landscaping yard signs won't be in place long enough to plant around signs. You just follow the same tact that you normally would for landscaping around signage. Let us worry about creating the ultimate landscape yard signs for your business. It doesn't matter whether you have tons of ideas or, none at all. We are always happy to offer advice and guidance on the right style, type, and design of signs for your business. This is what we do!
Are you ready to design your own landscaping magnetic signs? Then you have come to the right place! We can help you create custom lawn care signs to help boost your business. If you already have some great lawn care sign ideas, then share them with us! If not, don't worry we have plenty of templates available. You can find the one you like and simply personalize it to your business. Whether it's a simple set of landscaping yards signs you need or you prefer the idea of landscaping magnetic signs, we can fill your order. We offer the best in custom landscaping signs.
We also offer a wide range of printed products. If you want branded pens, then we can help you out. Stickers or magnets for your vehicles and to give out to customers? We can sort that out, too. Lawn care signs don't have to mean just traditional signs. In fact, we can even offer full vehicle wraps. That is if landscaping magnetic signs just aren't enough for you! Take a look at the rest of our site to see what products we can offer. We aim to be your one-stop marketing shop. You can contact us at 1-800-205-9005. Or, you can use the live chat option on the website. Alternatively, you can visit our shop pages. When you get in touch, please provide us with as many details as possible. We want to ensure your product is exactly what you wanted, and that starts with clear communication.


Responsive Web design is a mere concept that when implemented correctly can improve the user experience.
Almost every new client these days wants a mobile version of their website. It's practically essential after all. Well, what is it?
Responsive Website design is the approach that suggests that design and development should respond to the user's behavior and environment based on screen size, platform and orientation.
responsive Website design is not only about adjustable screen resolutions and automatically resizable images, but rather about a whole new way of thinking about design. Let's talk about all of these features, plus additional ideas in the making.
Ready to discuss your Responsive Website Design?
Tell us a little bit about yourself and what you are looking to accomplish, we'll be in touch shortly.


Artist Luke Jerram's enormous Moon was created using detailed NASA imagery of the lunar surface with an approximate scale of 1:500,000 – each centimetre of the 7 metre spherical sculpture represents 5 kilometres of the moon's surface!
The internally lit installation gives visitors a surreal up-close experience by fusing lunar imagery and moonlight with a surround sound composition by BAFTA and Ivor Novello award-winner Dan Jones.
Over the centuries, the moon has been interpreted as a god and as a planet, been used as a timekeeper, calendar and to aid night time navigation, and inspired artists, poets, scientists, writers and musicians the world over. Museum of the Moon allows us to observe our own interpretations of the moon and its place in our world, contemplate the various beliefs and mythologies surrounding the moon, and consider the latest moon science.
On Friday 22 February, 4.30-5.30pm, enjoy a 'Gong Bath' underneath the Moon - a tension releasing, stress relieving sound message for the soul. Simply lie down and immerse yourself in the sound of gongs and other sacred instruments. No booking required.
Booking: Not required, just come along!
This event is part of the 2019 Suffolk Science Festival run by Kinetic Science. Please click here for more information.
Co-commissioned by a number of creative organisations brought together by Luke Jerram and Norfolk & Norwich Festival. These include: At-Bristol, Kimmel Center, Lakes Alive, Provincial Domain Dommelhof, Brighton Festival, Greenwich+Docklands International Festival, Without Walls, Les Tombées de la Nuit, Rennes and Cork Midsummer Festival. The artwork has also been created in partnership with the UK Space Agency, University of Bristol and The Association for Science and Discovery Centres.


Southwest Florida … This holiday season, students of Sarasota's New Gate School will be demonstrating their aesthetically pleasing creative skills as they adorn The Forest at High Hat Ranch community with elegant, oversized decorations. Residents, guests and passerbys of The Forest will feel the joyous warmth of the holiday season as they notice magnificent holiday decorations embellishing the entries and sales center of the development. "We are greatly appreciative of our neighbors at The Forest for helping us set in motion our school fundraising initiative, while integrating an enjoyable, yet stimulating art project with community involvement for our students ," said Paul Wenninger, Head of School.
The students will be decorating three separate locations within the development, including colorful holiday decorations accentuating the development's giant outside monument signs, immense holiday wreaths ornamented with oversized bows at the front entry way, and festive decorations at the sales office.
The holiday decorating project is part of New Gate School's curriculum, further enabling students to develop a deeper appreciation for understanding the visual arts and creative process. Following Maria Montessori's belief that education should be a creative learning process, the New Gate School places a strong emphasis on educating the arts. Students are encouraged to use their artistic skills and individual expression to communicate what they have learned, and in return, know and realize that quality work is appreciated and has value for others.
The Forest team will be donating all decorating materials needed for the project. In addition, the team will also be making a gracious donation toward New Gate School's scholarship fund.
New Gate School is an independent, coeducational college preparatory school that serves more than 250 boys and girls, young women and men from ages 18 months to 18 years. New Gate School's curriculum consists of a rigorous, yet innovative, academic program, and also includes a serious commitment to practical life skills, work-study skills and social skills. At its core, New Gate School continually strives to be a vibrant experience where children are actively engaged in their future every day, at every age. Faculty and staff are inspired, leadership is courageous and families are committed to the success of students through the success of the school.
Hi Hat Ranch is a remarkable expanse of natural wilderness, unlike any other in Florida. Today, the 9,700-acre ranch is a diversified operation, including cattle, citrus, timber and produce farming.
Three of Sarasota's most renowned builders are the mainstays of The Forest, including Anchor Builders, Gibraltar Homes and John Cannon Homes. Each is known for creating beautiful, luxurious homes with the highest standards of quality construction, superior craftsmanship, award-winning interior designs, and unparalleled devotion to customer satisfaction.
The Forest is being developed by Sugarbowl Development Company which is comprised of Turner Family members, original owners and present stewards of the Hi Hat Ranch property. Tom Dabney, a member of the Turner family serves as its president. Tom is a licensed real estate broker who has completed numerous successful commercial and residential developments in the region since 1980.
For more information about The Forest at Hi Hat Ranch, call Brian Wood, Signature Sotheby's International Realty 941-364-4000 or visit: www.TheForestatHiHatRanch.com.
For more information about New Gate School, or to learn more about involvement with or contribution to the New Gate School scholarship fund, call 941-922-4949, or visit: www.newgate.edu.


text:
3G/4G »
4G services
Tata Teleservices wants 800 MHz airwaves freed for 4G services in four circles
Tata Teleservices is applying to liberalise its CDMA airwaves in at least four circles, a possible first step towards a spectrum trading pact with Telenor's Indian arm.Deepali Gupta | ET Bureau | Updated: October 08, 2015, 09:11 IST
टाटा डोकोमो ने दी ज्यादा डेटा पर ज्यादा वैलिटिडी
MUMBAI: Tata Teleservices is applying to liberalise its CDMA airwaves in at least four circles, a possible first step towards a spectrum trading pact with Telenor's Indian arm which needs to offer fourth-generation (4G) services to stay relevant in the country's competitive highspeed data market.
The Tata Group company has written to the telecom department (DoT) to liberalise airwaves in Andhra Pradesh and Delhi service areas by paying the market, or auction-determined, price for spectrum and is planning to do the same for Mumbai and Maharashtra, said three people familiar with the details.
The telecom company may also consider Haryana at a slightly later stage.
Tata Tele's airwaves in the 800 Mhz band are well-suited for high-speed 4G services in the four circles which count as among India's highest revenue service areas. "The company plans to launch its own 4G service too, which will increase its value for potential buyers," another person said.
The company's name has been linked to several suitors, including Norway's Telenor Group, which owns Telenor India. While Tata Tele makes a good fit for Telenor's plan to expand into an all-India operation from just six circles now, the two reportedly do not see eye-to-eye on the purchase price of Tata Tele, which is saddled with debt of over Rs 25,000 crore.
But with spectrum trading rules being cleared by the Cabinet, Telenor can now buy just Tata's airwaves and launch 4G services in the lucrative circles of Delhi and Mumbai. If Tata Tele liberalises its spectrum in more circles, Telenor can expand its operations.
A company needs to liberalise its non-auctioned bandwidth by paying the March 2015 auction-determined market price before sharing or trading that spectrum. Moreover, Tata Tele needs to liberalise its airwaves to offer 4G services on its own as well.
Reliance Communications has also applied to liberalise its airwaves for sharing and trading them with Reliance Jio Infocomm.
Telenor currently has only 2G airwaves in seven circles but has operations in six and is looking for data spectrum to keep pace with larger rivals who have been offering high-speed broadband over 3G and are even launching 4G services. An email to Tata Teleservices did not elicit a response. A Telenor India spokesperson said the company continues to look for opportunities for growth but declined to comment on the specific query about interest in Tata Teleservices.
"Telenor India is focussed on growth in the six operating circles to offer superior value to customers. We continue to look for opportunities for growth and we will evaluate options that suit our strategy to be able to offer best value to our mass market customers," said Telenor India in an emailed statement.
Tags : 3G/4G, Telenor group, Tata Teleservices, Tata Group, Reliance communications, CDMA, 4G services
Most Read in 3G/4G
Fewer users port out as telcos offer similar tariffs, quality
Opensignal rates Airtel as top network for video experience
APAC region to lead 5G adoption with 1.14 billion users by 2024: GlobalData
BSNL launches Rs 1,999 fiber broadband plan with 200 Mbps speed
Airtel VoWiFi service goes live in 5 states after Delhi NCR
Jio follows Airtel; launches VoWiFi calling service in select circles
Telecom subscriber base to fall for the first time in eight years, courtesy tariff hike
BSNL extends validity of its Rs 1999 plan along with other offers


When considering surgery for your companion, one of the most common questions is: "How much pain will my pet be in?". Here, at VSC, we are proactive in pain management. We control pain with multiple modalities including epidurals, constant rate infusion of pain medication, local nerve blocks, nonsteroidal anti-inflammatory medications, cold packs, and opioid pain medication. Although surgery is not painless, we take great strides to make it as comfortable as possible for your pet.


Carnival programme – Out Now!
The price of the Programme is £2 this year as we have decided NOT to charge for entrance to ANY of our events.
As soon as the online version is available we will let you know.


In this game you must help the president of the United States Barack Obama dance. Use the right and left arrow keys to move his arms and the up and down arrow keys to move his legs.
This game has been played 6616 times online. Ranking 3012 of the best free games.
What is this game about? This is a free game called The President´s Dance for your browser without having to download or install anything, it is completely reliable. On this website you will be able to play for free this Politicians flash game called The President´s Dance. And remember this is a free game called The President´s Dance and it is related to Politicians. Our new game The President´s Dance is one of the best games of Politicians you can find and you can share it with your friends and contacts on the social networks. This is an online game and video game called The President´s Dance that we invite you to play, enjoy and learn about it as well as to share in the comments and with your friends on the social networks.


text:
National Priorities Research Program (NPRP)
Thematic and Grand Challenges Research Program
TÜBİTAK - QNRF Joint Funding Program
Osra
Path Towards Precision Medicine (PPM)
QNRF-MME Joint Funding
Capacity Building and Development Programs
Undergraduate Research Experience Program (UREP)
Qatar Research Leadership Program (QRLP)
Graduate Sponsorship Research Award (GSRA)
Postdoctoral Research Award (PDRA)
Early Career Researcher Award (ECRA)
High School Research Experience Program (HSREP)
National Science Research Competition
Technology Development Fund (TDF)
Conference and Workshop Sponsorship Program (CWSP)
Qatar-UK Research Networking Programme (Q-UKRNP)
Best Representative Image of an Outcome (BRIO)
Policies, Rules and Regulations
RO Registration Policy
Qatar National Research Strategy (QNRS)
Intellectual Property & Technology Transfer
Intellectual Property Submission Guidelines
Research Ethics Guide (REG)
Co-Funding Policy
Data Management Plan Policy
Research Misconduct Policy
Policies, Rules and Regulations of MoPH
Performance Monitoring System (PMS)
QSTP Full Technology Readiness Levels
Managing Awards
Search Awards
Outcome Search
Research Matters
Newsroom / In the Media
WCM-Q Heart Expert Produces a Best-Practice Guide for Doctors Around the World
Haya H Al Muhannadi / Monday, October 9, 2017 0 5318 Article rating: No rating
A professor at Weill Cornell Medicine – Qatar (WCM-Q) has had his work into heart palpitations published by one of the world's most respected and prestigious medical journals.
Roundtable throws light on greater understanding of Islamic finance
Hamad Bin Khalifa University's (HBKU) College of Islamic Studies (CIS) and the Qatar Financial Centre (QFC) Authority jointly organised and hosted an event on Islamic finance, titled Shariah Governance in a Globalized World, recently at HBKU's campus in Education City. It featured over 50 experts comprising Shariah scholars, Islamic finance professionals, academics, practitioners, and regulators.
QF R&D highlights innovative projects at forum
David Edward Moore / Thursday, October 5, 2017 0 4717 Article rating: No rating
The need for collaboration across all sectors in building a research and innovation ecosystem capable of meeting the challenges Qatar faces has been highlighted to science and technology leaders by Qatar Foundation Research and Development (QF R&D) at a high-level international gathering in Japan.
QNRF awards 16 fellowships to graduate students
Qatar National Research Fund (QNRF), a member of Qatar Foundation Research and Development (QF R&D), has awarded 16 fellowships to graduate students in the fourth cycle of its Graduate Sponsorship Research Award (GSRA).
Texas A&M at Qatar siblings intern with CERN Detector Technology Program
David Edward Moore / Wednesday, September 27, 2017 0 4839 Article rating: No rating
A brother and sister student duo from Texas A&M University at Qatar spent their summer holidays working as interns for eight weeks in CERN's Detector Technology Program in Switzerland.
QU gets largest number of grants for research
Haya H Al Muhannadi / Sunday, August 27, 2017 0 7408 Article rating: 3.3
Qatar University (QU) was awarded the largest number of grants in the 10th cycle of National Priorities Research Programme (NPRP), a flagship programme of Qatar National Research Fund (QNRF).
As many as 29 proposals out of a total of 85 submissions have achieved awards, translating to 34% of the total awarded proposals – the highest among awarded institutes in Qatar.
QNRF, QNL to collaborate on research
Haya H Al Muhannadi / Tuesday, August 22, 2017 0 5328 Article rating: No rating
Discoveries and data produced by Qatar's research community will be managed in a more streamlined and accessible way through a new collaboration between Qatar Foundation Research and Development (QF R&D) and Qatar National Library (QNL).
Weill Cornell Medicine – Qatar scientists create blood in the laboratory
Researchers at Weill Cornell Medicine – Qatar (WCM-Q) have made a breakthrough which could lead to personalized blood and heart tissue being created in a laboratory.
Move to boost Qatar's cyber resilience
Haya H Al Muhannadi / Monday, August 21, 2017 0 5084 Article rating: No rating
A groundbreaking model designed to drive public-private sector collaboration and generate impact will be the cornerstone of a new programme, developed by Qatar National Research Fund (QNRF) and Turkey's leading research agency, that is set to strengthen Qatar's cyber resilience.
Previous12345678910NextLast
QNRF announces 54 winners in the 24th cycle of its Undergraduate Research Experience Program
Qatar National Research Fund (QNRF) – a member of Qatar Foundation (QF) – has announced the winners of its 24th Undergraduate Research Experience Program (UREP) cycle, QNRF's flagship program, co-funded by Qatar Shell, designed to develop research infrastructure in Qatar by establishing the basis of scientific research at undergraduate level.
NPRP2 Students2 Independent schools2 FameLab2 TUBITAK1 ROS; Research outcome Seminar1 NU-Q1 Challenge 221 TAMUQ1 Exceptional Proposal1
Qatar Foundation (QF) established Qatar National Research Fund (QNRF) in 2006 as part of its ongoing commitment to establish Qatar as a knowledge-based economy. QF views research as essential to national and regional growth, as the means to diversify the nation's economy, enhance educational offerings and develop areas that affect the community, such as health and environment.
Address: Qatar Science and Technology Park, Tech 1 Building, Level 1
P.O. Box: 5825, Doha, Qatar
Support: support.qnrf.org
Time Zone: Arabia Standard Time (AST)
Date & Time: Wednesday, July 17, 2019 3:49 PM Doha Time
Leadership Messages
Approved Research Offices
Qatar Research Institutions
Archived Funding Opportunities
NPRP - Exceptional Proposals (NPRP-EP)
Junior Scientists Research Experience Program (JSREP)
2014 U.S-Qatar-MENA Infectious Disease Research Initiative
Qatar Innovation Promotion Award (QIPA)
© Copyright 2019 by Qatar National Research Fund Terms Of Use Privacy Statement


A few days ago, Metta World Peace (it's just so hard to write that and not laugh) of the Los Angeles Lakers hit James Harden of the Oklahoma City Thunder in the head with an elbow.
He claimed afterward that it was accidental. It was part of his celebration of the previous play, and Harden just happened to be in the way.
Watching the video of the incident, it's hard to believe in World Peace (sorry, can't resist).
Much of this is seriously uninteresting. World Peace (formerly, Ron Artest) is a thug and a hopeless attention-seeker. In 2004, after sparking the worst arena-wide brawl in NBA history, he went on radio talk-shows hawking his rap CD.
What I do find interesting, however, are the tortured justifications of an obviously intentional and brutal action. I say this because I have the same tendencies toward self-preservation that drive me to try to evade the truth and obfuscate in order to escape blame.
I have found that when I'm wrong—when I've spoken hurtful words or behaved selfishly—I enact World Peace (alright, that's enough).
When I'm wrong, my heart races with self-justifying impulses and my mind frantically casts about with strategies for self-preservation.
And I look just as stupid.
The impulse for self-preservation—trying to preseve as much dignity as possible—prevents genuine reconciliation.
True freedom and genuine reconciliation are possible only when I speak frankly. However painful it is, I need to speak honestly about what I've done and ask for forgiveness. That sort of truth-speaking opens up hope and clears the way for reconciliation.
It satisfies the heart of the one I've wronged and it's the only way to open up roads of redemption.


Elementary school teachers across the state will share nearly $135,000 in grants to encourage innovation in their classrooms through the Carter Spark Grants program at the Rhode Island Foundation.
Launched by philanthropists Letitia and the late John Carter in 2013, the program offers full-time third-grade and fourth-grade teachers in any traditional public school or public charter school in Rhode Island grants of up to $1,000 for activities that engage students through unique experiences and creative learning methods in order to stimulate their interest in academics.
"Once again, the Carter family is promoting change through leadership. Thanks to their foresight, teachers all over Rhode Island have an exceptional opportunity to be innovative," said Neil D. Steinberg, president and CEO of the Foundation.
Eligible expenses include field trips, equipment and other resources that otherwise would not be available in the classroom. Spark Grants are for one-time expenses and cannot provide ongoing funding to sustain projects.
Teachers at Agnes B. Hennessey Elementary in East Providence, Fishing Cove Elementary School in North Kingstown and Melville Elementary School in Portsmouth are among nearly 150 teachers statewide who received grants.
At Hennessey, third-grade teacher Emily Rendine was awarded $998 to promote Next Generation Science Standards by improving the school's garden beds and creating a composting and water conservation program.
"Our school garden offers hands-on, experiential learning opportunities in a wide array of disciplines, including the natural and social sciences, math, language arts, social emotional learning, visual arts and nutrition. We will turn our simple garden beds into a world of science exploration," said Rendine.
The funding will enable Rendine to buy equipment, including a rain barrel, hose and a compost barrel, as well as subscriptions to the Scholastic News for every student.
"The grant will support teaching and learning in a way our traditional curriculum cannot. The subscription will allow students to dive deeper into informational text, specifically science content that students may not be exposed to in our typical science kits," she said.
Fishing Cove third-grade teacher Robert Lucas received $606 to buy model rocket kits that students will build and launch on the school's STEAM Day. The activity will teach concepts such as gravity, trajectory, thrust, the principles of flight, aerodynamics and Newton's Third Law of Motion.
"The opportunity to build and launch a model rocket is an exciting way to spark an invested interest in science. Incorporating model rocketry into our student's academic career will develop their problem-solving skills and ultimately motivate students in future STEAM activities," said Lucas.
About 45 third- and fourth-grade students are expected to participate in the program. The school plans to stage STEAM Days three times this school year.
"STEAM careers have steadily increased, however during the past two decades, college students graduating with these subjects have steadily decreased. As educators, we need to keep kids not only interested in STEAM, but also help them become excited enough to envision it as a career path," he said.
Melville teacher Marc Gonsalves received $950 to bring students to Sail to Prevail, which is a sailing program specifically designed for students with disabilities like those in his class.
"Students will be able to steer the boats, tack, and actively engage in their own learning of how to sail. As a result, they will feel capable and confident after spending a few hours sailing," Gonsalves said.
The field trip will be part of a project about leadership. Before the field trip, students will work in small groups to identify the traits that leaders have. After the field trip, Gonsalves will ask students whether their concept of leadership has changed.
"Students with significant disabilities face a multitude of challenges throughout their educational journey. This will encourage my students to have the self-confidence to see themselves as leaders in our school," he said.
Schools in Barrington, Bristol, Burrillville, Charlestown, Cranston, Cumberland, Foster, Lincoln, North Providence, Pawtucket, Providence, Scituate, Smithfield, Warren, Warwick, and Woonsocket also received grants.
The Rhode Island Foundation is the largest and most comprehensive funder of nonprofit organizations in Rhode Island. Working with generous and visionary donors, the Foundation raised $38 million and awarded $43 million in grants to organizations addressing the state's most pressing issues and needs of diverse communities in 2017. Through leadership, fundraising and grantmaking activities, often in partnership with individuals and organizations, the Foundation is helping Rhode Island reach its true potential.


text:
package com.github.kaiwinter.activerecord.ar;

import com.github.kaiwinter.activerecord.BaseAR;
import com.github.kaiwinter.activerecord.annotation.Column;
import com.github.kaiwinter.activerecord.annotation.Table;
import com.github.kaiwinter.activerecord.db.SequenceGenerator;

@Table(alias = "person", sequenceGenerator = SequenceGenerator.INTERNAL)
public class PersonAliasAR extends BaseAR {

    @Column(alias = "name")
    private String nameValue;

    @Column(alias = "surname")
    private String surnameValue;

    private String unattachedField;

    public PersonAliasAR() {
        // empty constructor necessary
    }

    public PersonAliasAR(String nameValue, String surnameValue) {
        this.nameValue = nameValue;
        this.surnameValue = surnameValue;
    }

    /**
     * @return the nameValue
     */
    public String getNameValue() {
        return nameValue;
    }

    /**
     * @return the surnameValue
     */
    public String getSurnameValue() {
        return surnameValue;
    }
}

redpajama_set_name: RedPajamaGithub


The plane takes off from Kennedy airport as the New York skyline slowly disappears on the horizon. I really love that skyline...it's become the place where I sleep, home of the people I love, bars where I spend my paycheck.
Marcus & I are headed back to Haiti. A chance to see how this poor island nation has fared after one of the worst natural disasters in this hemisphere. Neither Marcus nor I know what to expect. We have no hotel reservations, no driver, no clue what lies at the end of this flight. All we have are memories of what things were like when we left almost 6 months ago.
The pilot announces the descent into Port Au Prince. The last meal of Burger King breakfast still gurgling in my stomach...it's about time to face the next 8 days. I didn't want to look out the window, just enjoying the last moments before the plane door opened & the island heat washed over us.
The terminal had found its normal chaotic way of uniformed men & women herding the passengers into roped pens guiding us through a series of mazes towards other uniforms. Stamping passports, questioning foreign visitors, the masses surging for the bags all adding to the atmosphere.
Now we're sitting in a bar at a hotel...we have a room (or should I say a safe place to rest at night), a full stomach, & a plan to cover the continuing story of the Haitian life after the quake.


The Premier League season kicks off this weekend following a summer of even higher transfer fees and unbelievable weekly wages that are higher than most of us will make in a year. But behind the lavish lifestyles involving island buying and multiple Ferraris, there are actually a lot of things to learn from football about how to manage your money sensibly.
From moving house to living within your means, here are our top money lessons you can find in many of the trials and tribulations of the average football team.
The greatest managers know when things are going wrong. Perhaps Chelsea boss Jose Mourinho is the best at this – he'll switch tactics quickly when his original plan isn't going so well.
It pays to be a master tactician with money too. Unfortunately, many people aren't when they get in financial trouble. If your debts are mounting up, then you may need to seek expert advice on what is going wrong with your plan and what you need to do to fix it.
Success in football is often about spotting a bargain. Sometimes, it doesn't pay to shell out for something really expensive when there are cheaper alternatives. Chelsea bought Fernando Torres for a cool £50m and many feel he never justified the price tag. Alternately, Southampton last season brought in unheralded players for relatively low transfer fees and enjoyed a hugely successful season.
The lesson is clear: you need to shop around for the best deal. That often means using price comparison websites which will help you get the cheapest deal on a particular item.
Moving house can be stressful – just ask Coventry City whose fortunes have waned since they moved from Highfield Road in 2005 to a purpose-built arena. Arsenal suffered a little with their move from Highbury in 2006 to the Emirates Stadium too – but now that decision is bearing fruit as they emerge as one of the Premier League financial powerhouses.
These examples show that it's vital to make sure you have considered all the costs of moving home to ensure it ends up benefitting you long term.
When it comes to borrowing money, there have been plenty of examples of football clubs living beyond their means. One famous example was Leeds United who 'lived the dream' at the top end of the Premier League, only to find themselves relegated and in serious financial problems because they had overspent.
If you don't want to end up like Leeds, make sure you know what you can afford before borrowing money or splashing the cash.
Retirement is a big issue in sport as careers are far shorter in football than in most jobs. But despite the vast rewards on offer in the modern day game, there are still many footballers who end up bankrupt because of poor financial planning.
Ever had an accident at work? For all the glamour and excitement of being a footballer, there is still guarantee of some pretty painful injuries during an average season. Worse still, players are sometimes forced to retire from the game entirely if they are particularly unlucky with an injury.
Many of us may also benefit from income insurance - as a way of protecting ourselves and our families in times of trouble.
Is income protection for you?
How an average family living hand to mouth could save for contingencies?


text:
This Short Story By Joyce Carol Oates Is Infamously Creepy — But The Real Event That Inspired It Is Even Scarier
By Charlotte Ahlin
Lea Jones/Stocksy
I was never one for scary stories growing up. I was, quite simply, too scared. I was a chicken, through and through. I didn't like Goosebumps. I didn't like horror movies. I read Scary Stories to Tell in the Dark and Coraline, but only in broad daylight (I still spent all night cowering under my covers, certain that my bedspread was all that separated me from an army of slavering liches).
I started to come around as an older teen, when I was introduced to Shirley Jackson and Stephen King. I even started to enjoy a creepy ambiance in my literature, as long as I knew that it wasn't for real. But then, freshman year of college, I was handed a short story that made me want to dive straight under my covers all over again:
Where Are You Going, Where Have You Been? by Joyce Carol Oates.
If you haven't read it before (and you should), the story follows a pretty, 15-year-old girl named Connie. She knows that she's pretty. She likes going out with her friends, and rolling her eyes at her mother. And one day, two boys pull up in a car, and ask her to get in. She does. The car drives away.
That's it. That's the whole plot.
And it's terrifying, not least because it's based on an actual serial killer.
Where Are You Going, Where Have You Been? is a master class in building suspense — even before the gold-painted jalopy pulls up in Connie's driveway, we have a sense that something is... off. Connie doesn't know the boys in the car. She saw one of them while out on the town, a boy with wild, wig-like hair, but they didn't speak. He's the one doing the talking now. There's no one else around for miles. Her family is gone for the afternoon. And at first she's nervous in a flattered, teenaged way, trying to impress a cute boy who wants to take her for a ride.
But the more she stands out there talking to him, the more Connie starts to realize that something is wrong:
"Connie blushed a little, because the glasses made it impossible for her to see just what this boy was looking at. She couldn't decide if she liked him or if he was just a jerk, and so she dawdled in the doorway and wouldn't come down or go back inside. She said, 'What's all that stuff painted on your car?'
'Can'tcha read it?' He opened the door very carefully, as if he were afraid it might fall off. He slid out just as carefully, planting his feet firmly on the ground, the tiny metallic world in his glasses slowing down like gelatine hardening, and in the midst of it Connie's bright green blouse. 'This here is my name, to begin with,' he said. ARNOLD FRIEND was written in tarlike black letters on the side, with a drawing of a round, grinning face that reminded Connie of a pumpkin, except it wore sunglasses. 'I wanta introduce myself, I'm Arnold Friend and that's my real name and I'm gonna be your friend, honey, and inside the car's Ellie Oscar, he's kinda shy."'Ellie brought his transistor radio up to his shoulder and balanced it there. 'Now, these numbers are a secret code, honey,' Arnold Friend explained. He read off the numbers 33, 19, 17 and raised his eyebrows at her to see what she thought of that, but she didn't think much of it."
Arnold Friend asks her to get into the car. Connie refuses, but she doesn't go back inside. The more they talk, the more Arnold Friend reveals: he knows her name, he knows her family is gone, he knows she's going to get into the car. Connie notices that he's older than she is, only pretending to be a teen. His boots are stuffed to make him seems taller. His friend is older, too, and strangely quiet. And if she doesn't get into the car, he's going to hurt her.
At long last she goes with him, blankly, as though he's put her under some kind of spell. And that's it.
She put out her hand against the screen. She watched herself push the door slowly open as if she were back safe somewhere in the other doorway, watching this body and this head of long hair moving out into the sunlight where Arnold Friend waited.
"My sweet little blue-eyed girl," he said in a half-sung sigh that had nothing to do with her brown eyes but was taken up just the same by the vast sunlit reaches of the land behind him and on all sides of him—so much land that Connie had never seen before and did not recognize except to know that she was going to it.
For years, readers have theorized that Arnold Friend is the devil, or they've tried to puzzle out the necrotic meaning of the numbers in his "secret code." And honestly, I prefer the devil explanation, because the actual story that inspired Joyce Carol Oates is entirely horrific:
In 1964, an adult man named Charles Schmid liked to creep on high school girls in Tuscon, Arizona. He was only 5'3", but wore cowboy boots stuffed with crushed cans and rags to make himself taller. He also wore makeup to make himself look younger or just... creepier: white lipstick, dark tan foundation, dyed black hair, artificially stretched lips, and a fake mole on his cheek. He was popular with the ladies, though, and he frequently lied his way into dating teenagers. He's often called the "Pied Piper of Tucson."
And then he decided to kill a girl.
He picked Alleen Rowe, a 15-year-old high school student. With the aid of his 17-year-old "girlfriend," Mary French, and his friend, John Saunders, Schmid lured Alleen out of her mother's house in the dead of night, promising to take her to a party. Instead, the trio took her into the desert to assault and murder her. Her skull was cracked with a rock.
Schmid did the same to 16-year-old Gretchen Fritz the following year, along with her 13-year-old sister Wendy. But this time, he bragged about the murders to Richie Bruns, another one of his creepy friends. Bruns was apparently OK with Schmid's crimes at first, and helped him bury the bodies. But then Bruns developed a crush on a young woman of Tucson, and started to fear that she was next on Schmid's list. At long last, someone turned Schmid in, and the Pied Piper and his accomplishes were all rounded up and put away.
The facts of the case are horrifying enough as it is. But Where Are You Going, Where Have You Been? manages to capture the horror without showing us the crime itself. It distills one man's gruesome hate for young girls into one supremely unsettling work of prose. And it is a masterfully creepy short story, whether you are a fan of true crime or not.
So go read it. But be sure to keep the lights on.


Ed Lansdale specialized in false flag terrorism and false flag bombings for the CIA in the Philippines and then in Viet-Nam. Source.
Israel specializes in car bombings — mostly as primers (pun intended) to sell a lot of security to the paranoid, but sometimes, we speculate, to influence its "host" the USA.
Anyone willing to attack the USS Liberty and murder and maim U.S. sailors is capable of any crime against humanity. Source.
Today, against the Capitol, an FBI-enabled individual carried a suicide vest that was disabled beforehand — we suspect the FBI actually constructed the vest, reminding us of CIA giving the Iranians the complete plans for building a nuclear bomb. Source.
Below is a useful compilation of warnings about a false flag terrorism set focused in enabling an Israeli attack on Iran with US drawn in.
Most interesting is Zbigniew Brzezinski's coming over to the side of the angels.
Car bomb attacks which occurred this week in India, Georgia and Thailand are being blamed on Iran by the U.S., Israel and their allies.
If Iran, in fact, carried out the attacks, it will provide a justification for war against Iran.
But did Iran actually carry out the attacks?
Let's put aside for a moment the fact that the U.S. and Israel support the terrorists which have assassinated several Iranian scientists (and see this).
Former National Security Adviser Zbigniew Brzezinski told the Senate that a terrorist act might be carried out in the U.S. and falsely blamed on Iran to justify war against that nation.
Read full article with many more links.


Mazda is known for its lightweight, driveable cars offering some of the best driving dynamics in the volume car market.
The Mazda 6 is not different, but the hatchback, saloon and estate also adds the practicality needed for a large family car, an executive level of equipment as standard and typical eye-catching Mazda styling.
Mazda tends to do things a little different to other car makers and the result is the unique Mazda 6 – an ideal 'drivers car' for families and business and equally at home around town or as a motorway cruiser.
Mazda6 prices are competitive, making the car ideal for cost-conscious buyers and executive car downsizers. There is even a Mazda6 Business Line model designed to offer better value for business drivers.
Mazda6 deals are available from Perrys either online or in our Mazda dealerships, where the latest Mazda 6 deals and best Mazda 6 offers can be found.
To search for a Mazda 6 for sale, simply use our Mazda6 deals pages to navigate the site and find the best Mazda 6 for you.
Perrys is a franchised Mazda dealer, with locations across the UK. Call now to test drive our latest new and used Mazda 6 deals.


text:
console.log("notmain.js loaded!")

/**
    GOOD! it cant get at varialbes defined in body of importer (this is prob because they are not defined yet)

   Uncaught (in promise) Error: SCOPE_TEST_2 is not defined
	Error loading /_modules_/app/main
    at execute (http://digitalsea.io:3000/app/notmain.js?06fed9d12c1e8626c2fe880f2d2137e960a3c8ff:16:13)
    at ensureEvaluated (http://digitalsea.io:3000/packages/universe_modules.js?173e1f17b705041e413a9f91e86cd3f8b3ec850a:2622:42)
    at ensureEvaluated (http://digitalsea.io:3000/packages/universe_modules.js?173e1f17b705041e413a9f91e86cd3f8b3ec850a:2615:84)
    at Object.execute (http://digitalsea.io:3000/packages/universe_modules.js?173e1f17b705041e413a9f91e86cd3f8b3ec850a:2753:37)
    at doDynamicExecute (http://digitalsea.io:3000/packages/universe_modules.js?173e1f17b705041e413a9f91e86cd3f8b3ec850a:756:43)
    at link (http://digitalsea.io:3000/packages/universe_modules.js?173e1f17b705041e413a9f91e86cd3f8b3ec850a:937:38)
    at doLink (http://digitalsea.io:3000/packages/universe_modules.js?173e1f17b705041e413a9f91e86cd3f8b3ec850a:620:25)
    at updateLinkSetOnLoad (http://digitalsea.io:3000/packages/universe_modules.js?173e1f17b705041e413a9f91e86cd3f8b3ec850a:666:34)
    at http://digitalsea.io:3000/packages/universe_modules.js?173e1f17b705041e413a9f91e86cd3f8b3ec850a:495:78
    at http://digitalsea.io:3000/packages/meteor.js?9730f4ff059088b3f7f14c0672d155218a1802d4:999:22
 */
//SCOPE_TEST_1 += "edited by body of notmain.js";
//SCOPE_TEST_2 += "edited by body of notmain.js";
//SCOPE_TEST_3 += "edited by body of notmain.js";
//SCOPE_TEST_4 += "edited by body of notmain.js";

/**
    AWESOME. these dont leak out! :)
 */
SCOPE_TEST_9 = "SCOPE_TEST_9 set by body of notmain.js"; // no change
SCOPE_TEST_10 = "SCOPE_TEST_10 set by body of notmain.js"; // no change
SCOPE_TEST_11 = "SCOPE_TEST_11 set by body of notmain.js";// no change
SCOPE_TEST_12 = "SCOPE_TEST_12 set by body of notmain.js"; // no change

///////////////////////////////////////////////////////////////////////////////////////////////////////////
///////////////////////////////////////////////////////////////////////////////////////////////////////////
///////////////////////////////////////////////////////////////////////////////////////////////////////////
///////////////////////////////////////////////////////////////////////////////////////////////////////////

REVERSED_SCOPE_TEST_1 = "REVERSED_SCOPE_TEST_1 set by body of notmain.js: ";
var REVERSED_SCOPE_TEST_2 = "REVERSED_SCOPE_TEST_2 set by body of notmain.js: ";
const REVERSED_SCOPE_TEST_3 = "REVERSED_SCOPE_TEST_3 set by body of notmain.js: ";
let REVERSED_SCOPE_TEST_4 = "REVERSED_SCOPE_TEST_4 set by body of notmain.js: ";

REVERSED_SCOPE_TEST_9 = "REVERSED_SCOPE_TEST_9 set by body of notmain.js: ";
var REVERSED_SCOPE_TEST_10 = "REVERSED_SCOPE_TEST_10 set by body of notmain.js: ";
const REVERSED_SCOPE_TEST_11 = "REVERSED_SCOPE_TEST_11 set by body of notmain.js: ";
let REVERSED_SCOPE_TEST_12 = "REVERSED_SCOPE_TEST_12 set by body of notmain.js: ";

export default function() {
    console.log("this is notmain.js's exported fucntion call");

    /**
        we can get at this guy however. This is because its a global variable (not one of var, let, or const)
    */
    SCOPE_TEST_5 += "edited by exported function of notmain.js"; // edits the global!!
    /**
        GOOD! anything declared by importer is out of our reach!

        Uncaught (in promise) Error: SCOPE_TEST_6 is not defined
            Error loading /_modules_/app/main
            at http://digitalsea.io:3000/app/notmain.js?20b76edbdbd7bd751a0b2d91290aca429edc060b:48:17
            at execute (http://digitalsea.io:3000/app/main.js?bf78079bd8748d351fd4fb7cf6f0e09265500d0a:56:13)
            at ensureEvaluated (http://digitalsea.io:3000/packages/universe_modules.js?173e1f17b705041e413a9f91e86cd3f8b3ec850a:2622:42)
            at Object.execute (http://digitalsea.io:3000/packages/universe_modules.js?173e1f17b705041e413a9f91e86cd3f8b3ec850a:2753:37)
            at doDynamicExecute (http://digitalsea.io:3000/packages/universe_modules.js?173e1f17b705041e413a9f91e86cd3f8b3ec850a:756:43)
            at link (http://digitalsea.io:3000/packages/universe_modules.js?173e1f17b705041e413a9f91e86cd3f8b3ec850a:937:38)
            at doLink (http://digitalsea.io:3000/packages/universe_modules.js?173e1f17b705041e413a9f91e86cd3f8b3ec850a:620:25)
            at updateLinkSetOnLoad (http://digitalsea.io:3000/packages/universe_modules.js?173e1f17b705041e413a9f91e86cd3f8b3ec850a:666:34)
            at http://digitalsea.io:3000/packages/universe_modules.js?173e1f17b705041e413a9f91e86cd3f8b3ec850a:495:78
            at http://digitalsea.io:3000/packages/meteor.js?9730f4ff059088b3f7f14c0672d155218a1802d4:999:22
     */
    //SCOPE_TEST_6 += "edited by exported function of notmain.js"; // error
    //SCOPE_TEST_7 += "edited by exported function of notmain.js"; // error
    //SCOPE_TEST_8 += "edited by exported function of notmain.js"; // error

    SCOPE_TEST_13 = "SCOPE_TEST_13 overwritten by exported function of notmain.js"; // overwrites it!
    /**
        None of these below are affected
     */
    SCOPE_TEST_14 = "SCOPE_TEST_14 overwritten by exported function of notmain.js"; // no change
    SCOPE_TEST_16 = "SCOPE_TEST_16 overwritten by exported function of notmain.js"; // no change
    SCOPE_TEST_15 = "SCOPE_TEST_15 overwritten by exported function of notmain.js"; // no change

    ///////////////////////////////////////////////////////////////////////////////////////////////////////////
    ///////////////////////////////////////////////////////////////////////////////////////////////////////////
    ///////////////////////////////////////////////////////////////////////////////////////////////////////////
    ///////////////////////////////////////////////////////////////////////////////////////////////////////////

    REVERSED_SCOPE_TEST_5 = "REVERSED_SCOPE_TEST_5 set by exported function of notmain.js: ";
    var REVERSED_SCOPE_TEST_6 = "REVERSED_SCOPE_TEST_6 set by exported function of notmain.js: ";
    const REVERSED_SCOPE_TEST_7 = "REVERSED_SCOPE_TEST_7 set by exported function of notmain.js: ";
    let REVERSED_SCOPE_TEST_8 = "REVERSED_SCOPE_TEST_8 set by exported function of notmain.js: ";

    REVERSED_SCOPE_TEST_13 = "REVERSED_SCOPE_TEST_13 set by exported function of notmain.js: ";
    var REVERSED_SCOPE_TEST_14 = "REVERSED_SCOPE_TEST_14 set by exported function of notmain.js: ";
    const REVERSED_SCOPE_TEST_15 = "REVERSED_SCOPE_TEST_15 set by exported function of notmain.js: ";
    let REVERSED_SCOPE_TEST_16 = "REVERSED_SCOPE_TEST_16 set by exported function of notmain.js: ";
}


text:
Interfaces and classes used to cover functionality defined by
RFC 3253: Versioning Extensions to WebDAV.


Benny completed Life Repair Auditing. This is auditing designed to bring a lot of brightness back into a person's life and help him or her to relieve past upsets in life so that the future is beautiful. Here is Benny's success story: "When I first started Life Repair, I was depressed and distraught over a lot of things that had happened in my career. Now I've come to realize that the world isn't nearly as hostile as it seemed and that managing my fears and concerns required me to maintain a high level of optimism. I've learned to face my problems and my anger issues and have figured out where a lot of my frustrations came from. Life Repair has made me much more optimistic about life. I feel that I can get out there and achieve what I aim to achieve. I understand what mistakes I've made in the past and have learned how not to make them again. Life is not perfect but I've learned that there are lots of good things in life and I need to stop and learn to enjoy them."
Dennis completed the Life Improvement Course, How to Improve Conditions in Life. He says, "Wow! It feels like I may have a formula that I can apply to my life without compromise and have it work and move forward."