text:
\section{Introduction}
\label{sec:intro}

Neutral current (NC) deep inelastic scattering (DIS)
($lp \rightarrow lX; l=e,\mu $), is characterised by the
exchange of a virtual photon or $Z^0$ boson between the incident
lepton and proton.
In the naive quark-parton-model (QPM) the process $V^* q \rightarrow q$ ($V =
\gamma,\,Z^0$) gives rise to 1+1 jets in the final state corresponding to
the struck quark from the proton and the proton remnant (hereafter denoted by
``+1'').  Multi-jet production in DIS beyond 1+1 jets provides a good
laboratory for testing quantum chromodynamics (QCD).
{}From the measured rate of 2+1 jet events it is possible to determine the
strong coupling constant \mbox{$\alpha_{s}$} , for fixed kinematics and a given jet
definition, by comparing to theoretical calculations in which \mbox{$\alpha_{s}$}\ is
the only free parameter.

To leading order in \mbox{$\alpha_{s}$} , 2+1 jet production proceeds via
QCD-Compton scattering ($V^* q \rightarrow qg$) and
boson-gluon fusion (BGF) ($V^* g \rightarrow q \overline{q}$).
For the extraction of \mbox{$\alpha_{s}$}\ from the measured jet rates to be reliable
the 2+1 jet rate must be calculated at least to next-to-leading order (NLO) in
QCD, where the renormalisation scheme is defined unambiguously.
Furthermore the jet definition has to be treated in the same way
in theory and experiment for a quantitative comparison with the
predictions of QCD.
Theoretical calculations \cite{Graudenz91,Brodkorb92,Graudenz94,Brodkorb94}
for the jet rates at the parton level are currently available only for the
JADE jet definition scheme \cite{JADE}.
Therefore the measured jet rates, obtained using the same jet-finding scheme,
have to be corrected to the parton level so that a comparison with
the NLO ${\cal O}$(\mbox{$\alpha_{s}$}$^2$) calculations can be made
in order to determine \mbox{$\alpha_{s}$} .
The extracted \mbox{$\alpha_{s}$}\ value can be expected to be reliable when
the NLO calculations reproduce the
corrected jet rates over a wide kinematic range and the extracted value is
insensitive to
the cuts applied at the detector level. In this analysis a cut on the
parton variable $z$ (described later) is applied, which restricts
the phase space so that these requirements are well satisfied.

Multi-jet production in DIS has been studied by the E665 fixed-target
experiment at FERMILAB at a low centre-of-mass
energy, $\sqrt s$, of $\sim$~30~GeV
\cite{E665}, and  at higher energies, $\sqrt s$=300~GeV, by
ZEUS \cite{ZEUS_cone} and H1 \cite{H1} at HERA where
jet structures are more clearly discernible.
This paper describes the extraction of $\mbox{$\alpha_{s}$}$ from measurements of multi-jet
rates at $Q^2$  between 120 and 3600~GeV$^2$.
An earlier study of jet rates and jet kinematics has
been reported by this experiment \cite{ZEUS_jet};
an extraction of \mbox{$\alpha_{s}$}\ from multi-jet production
has been reported by H1 \cite{H1_alphas}.

\section{The ZEUS Detector}
\label{sec:detector}

The data used in this analysis were collected with the ZEUS detector
during 1994 when HERA provided collisions between 27.5~GeV electrons or
positrons\footnote{Hereafter ``electron" is used in a generic sense to
refer to $e^-$ or $e^+$.} and
820~GeV protons, yielding a centre-of-mass energy of 300~GeV.
They correspond to an integrated luminosity of 3.2~pb$^{-1}$.

ZEUS is an almost hermetic, multipurpose, magnetic detector and has been
described elsewhere in detail \cite{detector}.
Here a brief description of the components relevant for this analysis is
given.
Charged particles are
tracked by the inner tracking detectors which operate in a
magnetic field of 1.43 T provided by a thin superconducting coil.
Immediately surrounding the beam pipe is the vertex detector,
a drift chamber, which
consists of 120 radial cells, each with 12 sense wires \cite{vxd}.
It is surrounded by
the central tracking detector which consists of 72 cylindrical
drift chamber layers,  organised into 9 `superlayers' \cite{ctd}.
In the present analysis these tracking detectors are primarily used for
the determination of the event vertex.

The energy associated with the hadronic final state and the scattered
electron is measured with the
uranium-scintillator calorimeter (CAL) \cite{CAL}
which consists of three parts: the
forward (FCAL), the rear (RCAL) and the barrel calorimeter (BCAL).The
ZEUS coordinate system is defined as right handed with the $Z$ axis pointing in
the proton beam direction, hereafter referred to as ``forward''. The   $X$ axis
points horizontally towards the centre of HERA and
the $Y$ axis points vertically upwards. The polar angle
$\theta$ is defined with respect to the  $Z$ direction.
Each part of the calorimeter is subdivided
longitudinally into one electromagnetic section (EMC) and one hadronic section
(HAC) for the RCAL and two HAC sections for BCAL and FCAL.   Holes of $20\times
20$ cm$^2$  at the centre of FCAL and RCAL accommodate the HERA beam pipe. In
the $XY$ plane around the FCAL beam pipe,  the HAC section is segmented in
$20\times 20$ cm$^2$ cells and the EMC section in $5\times 20$ cm$^2$ cells.
In total, the calorimeter consists of approximately 6000 cells. In terms of
pseudorapidity, $\eta=-\ln\tan \frac{\theta}{2}$, the FCAL covers the interval
$4.3\ge\eta\ge 1.1$, the BCAL  $1.1\ge\eta\ge -0.75$ and the RCAL
$-0.75\ge\eta\ge -3.8$, for the nominal interaction point at
$X=Y=Z=0$. The CAL energy resolution, as measured under test beam conditions,
is $\sigma_E/E=0.18/\sqrt{E}$ for electrons and $\sigma_E/E=0.35/\sqrt{E}$
for hadrons ($E$ in GeV). The time resolution of the
calorimeter, which is important for rejecting beam-gas backgrounds,
is better than 1 ns for energy deposits greater than 4.5 GeV.

\section{Event Kinematics}

For a given $ep$ centre-of-mass energy $\sqrt{s}$,
the differential cross section for
leading order ${\cal O}(\mbox{$\alpha_{s}$}^1)$   2+1 jet production
in DIS depends on 5 independent kinematic variables, which we take
as $x$, $y$, $x_{p}$, $z$, and $\Phi$ \cite{QCD_KMS_3JET_89}.
The first two, Bjorken-$x$ and $y$,
are sufficient to describe  the ${\cal O}(\mbox{$\alpha_{s}$}^0)$ QPM 1+1 jet process.
They correspond to the momentum fraction of the proton carried by the
struck quark ($x$) and the fractional energy transfer between the electron
and the proton in the proton rest frame ($y$).
Three additional variables ($x_p,z,\Phi$) are introduced to describe
the 2+1 parton kinematics.
The parton variable \mbox{$x_{p}$}\ is defined by:
$$   \mbox{$x_{p}$}=\frac {Q^2}{2~p\cdot q}= \frac{Q^2}{Q^2+m^2_{ij}}=\frac{x}{\xi},$$
where $q$ is the four-momentum
of the exchanged virtual boson in the $ep$ scattering process,
$\xi$ is the fraction of the proton's four-momentum $P$
carried by the incoming parton with four-momentum
$p = \xi P$, $m_{ij}$ is the invariant mass of the two non-remnant jets
and $Q^2=-q^2$. $Q^2,x$ and $y$ are related by $Q^2 = s~x~y$.
The parton variable $z$ is defined by:
$$ z_1 = \frac {p\cdot p_1}{p\cdot q} = \frac {1}{2} \cdot (1-\cos\theta^*_1)
 \  =  \ \frac{E_1 \cdot (1-\cos\theta_1)}{~\sum_{i=1,2} E_i \cdot
(1-\cos\theta_i)~}.$$
The formula is given for one of the partons $i=1$. The outgoing four-momentum
of the parton from the hard scattering is $p_1$ and $\theta^*_1$ is
the scattering angle in the
$\gamma^*$-parton  centre-of-mass system.
Experimentally, $z$ is determined in the HERA system
from the energies and angles, $E_i$ and $\theta_i$, of the two jets. The
jets are assumed to be massless.
The other parton satisfies the constraint $z_2=1-z_1$. The angle $\Phi$
represents the azimuthal angle between the parton and lepton scattering planes
in the  $\gamma^*$-parton centre-of-mass system.

Since the ZEUS detector is nearly hermetic, it is possible to reconstruct the
kinematic variables $x, y$
and $Q^2$ for NC DIS using different combinations of
the angles and energies of the scattered lepton and of the hadronic
system \cite{zeusf2}.
The electron
method was used to determine $y$ as $y_e$ from $E_e'$ and $\theta_e$,
the energy and polar angle of the
scattered electron. The hadronic, or Jacquet-Blondel method \cite{JB},
was used to reconstruct $y$ as $y_{JB}=\sum_{h}E_h(1-cos\theta_h)/(2E_e)$
where $E_h$ and $\theta_h$ are the energy and polar angle calculated
from the calorimeter cells not associated with the scattered electron,
and $E_e$ is the electron beam energy.
The double angle (DA) method uses $\theta_e$ and
$\gamma_H$, the polar angle of the struck quark in the QPM which is given by
$\cos\gamma_H = (\sum_{h}p^2_{T,h} - (2 E_e y_{JB})^2)/
                  (\sum_{h}p^2_{T,h} + (2 E_e y_{JB})^2)$.
The DA method, which  measures $Q^2$ with small bias and good resolution in
the kinematic range of this analysis, was
used to reconstruct the $x,y$ and $Q^2$ variables of NC events
(and the jet variables $x_p$ and $z$ defined above) \cite{zeusf2}.

\section{Trigger Conditions and Event Selection}
\label{sec:selection}

The trigger and event selection followed closely
that described in reference \cite{ZEUS_jet}.
The trigger acceptance was essentially independent of the hadronic final
state with an acceptance greater than 97~\% for $Q^2>10$ GeV$^2$.
Neutral current DIS events were selected by the following criteria:
the event times measured by the FCAL and the RCAL had to be consistent
with an interaction inside the detector. This cut strongly reduced beam-gas
background. The $Z$ position of the event vertex was reconstructed from the
tracking data. Events were accepted if the $Z$ position was within
$\pm$~50~cm of the nominal interaction point.
An electron candidate
with energy greater than 10 GeV had to be found in the calorimeter.
To reject backgrounds from
photoproduction events with a fake electron (mostly $\pi^0$'s
close to the proton beam) the electron candidate was required
to satisfy $y_e < 0.95$.
Photoproduction and beam-gas backgrounds were further
suppressed by demanding energy-momentum conservation.
For a fully contained event, and neglecting the detector resolution,
one expects $E-P_Z = 2\cdot E_e$,
where $E$ and $P_Z$ are the summed energy and $Z$-component of the
momenta of all objects
measured in the calorimeter.
Taking the detector resolution into account 35~GeV$<E-P_Z<$~60~GeV was
required to select DIS events.
The background from photoproduction was estimated to be negligible
and that from QED Compton scattering was found to be less than 1\%.
Diffractive events, which do not deposit a significant amount of energy in
the FCAL, did not pass the selection criteria given below.
Finally, beam halo muons and cosmic rays were rejected by
suitable algorithms.

Several considerations motivated the selection of the kinematic region used
for the \mbox{$\alpha_{s}$}\ measurement.    First,
the analysis was restricted to high $Q^2$, where clear jet structures are
observed and hadronisation uncertainties are minimised.
Secondly, theoretical uncertainties in the 2+1 jet cross section are
small at high $x$,
where the parton densities of the proton are well known.
In addition at high $x$ the uncertainty stemming from the initial state
parton-showers,
used in the Monte Carlo simulation to correct the data to
the partonic level, was reduced.
Thirdly, the acceptance for 2+1 jet events increases at high $y$: in
particular, the
forward jet is well contained within the detector.
Finally, all of the above concerns were balanced
against the need for sufficient statistics.
The kinematic region selected
for the final analysis was therefore:  $120<Q^2<3600$~GeV$^2$, $0.01<x<0.1$,
and $0.1<y<0.95$, resulting in a sample of 4472 events. The $Q^2$
range was further subdivided into three regions to measure \mbox{$\alpha_{s}$} $(Q)$ at
increasing scales as a consistency check and as a test for the running of
the strong coupling constant.  These ranges were:
$120<Q^2<240$, $240<Q^2<720$, and $720<Q^2<3600$~GeV$^2$.
The number of events in each region were
1649, 2048 and 775, respectively.

\section{Jet Definition and Jet Kinematics}

The JADE algorithm \cite{JADE} was used to relate the hadronic final state
measured in the detector to the underlying hard scattering processes.
It is a cluster algorithm based on the
scaled invariant mass,
$y_{ij} = m_{ij}^2/W^2 = 2 E_i E_j (1-cos\theta_{ij}) / W^2$,
where $m_{ij}$ is the invariant
mass of the two objects $i$ and $j$, which are assumed to
be massless. The scale $W^2$
is the squared invariant mass of the overall hadronic final state and
$E_i, E_j$ and $\theta_{ij}$ are the energies of the objects and the angle
between them.
Starting with the minimum $y_{ij}$ of all possible combinations,
objects were merged  by adding
their four-momenta until $y_{ij}$ for all objects exceeded a jet resolution
parameter \mbox{$y_{cut}$}. Those objects remaining were then considered as jets.
The JADE algorithm was slightly modified \cite{MOD_JADE,MC_ANWENDUNG}
for use at the detector level in $ep$ collisions by the addition of a
pseudo-particle inserted along the $Z$ axis.
The missing longitudinal momentum in each event was assigned to the
momentum of the pseudo-particle. It prevents the detected fraction
of particles originating from the proton remnant
from forming spurious jets.

The measured calorimeter energies
above 150 (200) MeV for EMC (HAC) cells and their angles relative
to the interaction point were used to define vectors which were input to the
JADE algorithm in the detector level analysis.
At the detector level, the scale $W$ was calculated as
$W^2_{vis}=s\,(1-x_{DA})\,y_{JB}$.
This value reflects the measured rather than
the true hadronic activity
and so reduces the event-by-event correction for the  detector resolution
when calculating $y_{ij}$.

For 2+1 jet production in DIS, one of the non-remnant jets is typically
directed forward  because of the forward singularity in the cross section.
Such forward singularities are regulated in the theory by the cutoff
\mbox{$y_{cut}$}. Requiring a large \mbox{$y_{cut}$}\ is, however, not sufficient to avoid the
problems arising from forward-going jets close to the
beam pipe and the proton remnant.
This is achieved by a cut on the
parton variable, $z$, for 2+1 jet events\footnote{$z$ is
not defined for 1+1 and 3+1 jet events. In the following, 2+1 jet events
failing to pass the $z$ cut are not considered as 2+1 jet events. 1+1 and
3+1 jet events are counted in $N_{tot}$, the total number of selected
events.}. In QCD the rapid
rise towards $z=0$ results from collinear and infrared
singularities. In order to avoid this kinematical region the analysis
was restricted to events satisfying $0.1<z<0.9$.
This requirement also reduces the fraction
of forward jets ($\theta_{jet}<8^\circ$) from 30\% to 10\%.
Figure~\ref{fig:zxp}a shows the $dR_{2+1}/dz$ distribution for 2+1 jet events.
Here $R_{j+1}=N_{j+1}/N_{tot}$,
where $j$ stands for 0, 1, 2, or 3, $N_{j+1}$ is the number of (j+1)
jet events and $N_{tot}$ is the
total number of selected DIS events.
Figures~\ref{fig:zxp}b--d show the resulting
$x_p$, $p_T$ and $m_{ij}$ distributions.
The predictions of the NLO calculations of DISJET and PROJET (discussed
later) are also shown in Fig.~\ref{fig:zxp}.
The $z$-cut results in a significantly improved
agreement between the calculations and the data compared to our
earlier analysis done without this restriction on $z$ \cite{ZEUS_jet}.
This cut removes jets with transverse momenta $p_T$ below $\sim$~4 GeV
where $p_T$ is measured with respect to the
$\gamma^*$ direction and is calculated in the $\gamma^*$-parton system as:
$$ p_T = \sqrt {~ Q^2 \cdot \frac{1}{x_p} \cdot (1-x_p) \cdot z~(1-z) }.$$

\section{Jet Reconstruction and Jet Rates}

The acceptance and resolution,
as well as the correction of the measured jet rates to the parton level,
were determined using Monte Carlo methods.
Neutral current DIS events, generated
using LEPTO~6.1 \cite{LEPTO} and the Lund string fragmentation
model \cite{Lund} for the hadronisation, were
interfaced via DJANGO6 2.1 \cite{DJANGO} to
HERACLES~4.1 \cite{HERACLES} for QED radiative corrections. They were passed
through a GEANT \cite{geant} based detector
simulation, and subsequently analysed with the same reconstruction, selection
and jet analysis procedures as the data.  Both the hard
emission of partons at the matrix element level (calculated to leading order
in \mbox{$\alpha_{s}$} ) and the higher order soft parton showers are included in
the LEPTO matrix element, parton shower (MEPS) model.
The MEPS model satisfactorily describes the global jet
properties and production rates observed for the data
in the selected kinematic region \cite{ZEUS_jet}.

When generating events with the MEPS model, default values of all parameters
were used except for the
parameter $y_{min}$, which sets a minimum $y_{ij}$ of partons in first
order QCD matrix elements \cite{LEPTO}.
The value of $y_{min}$  was lowered  from
0.015 to 0.005 in order to study the measured jet rate as a function of
the jet resolution parameter \mbox{$y_{cut}$}\ for \mbox{$y_{cut}$}~$>$0.01.
The parton densities of the proton were taken from the
MRSD$'$- set \cite{MRSD}.

The jets were reconstructed by applying the JADE algorithm
at the parton level, the hadron level and the detector level.
These jets were constructed respectively from the output of the parton
shower step of the
event generator, the true momenta of the hadrons before the detector
simulation and the energy deposits in the calorimeter cells after the
detector simulation. The ratio of the jet rates at the
different levels of the event simulation are the corresponding correction
factors for hadronisation ($C_h$) and detector simulation ($C_d$), with
which the measured jet rates were multiplied.
Both the detector and hadronisation corrections
were found to be below 20\%.
Table~\ref{RJ_TABLE} shows the correction factors and
the corrected jet rates
$R_{2+1}$ for the three $Q^2$ intervals and for the combined
$Q^2$ region.

{\footnotesize
\begin{table}[htb]
\begin{center}
\begin{tabular}{|c||r|r|r|r|r|r|r|r|r||r|r|r|}
\hline
                  & \multicolumn{3}{c|}{$120<Q^2<240$}    &
                    \multicolumn{3}{c|}{$240<Q^2<720$}   &
                    \multicolumn{3}{c||}{$720<Q^2<3600$} &
                    \multicolumn{3}{c|}{$120<Q^2<3600$}   \\
                  & \multicolumn{3}{c|}{ (~GeV~$^2$) }             &
                    \multicolumn{3}{c|}{ (~GeV~$^2$) }             &
                    \multicolumn{3}{c||}{ (~GeV~$^2$) }            &
                    \multicolumn{3}{c|}{ (~GeV~$^2$) }              \\
\hline
 $y_{cut}$ & $R_{2+1}$~~ &$C_d$ &$C_h$ &$R_{2+1}$~~ &$C_d$ &$C_h$
     &$R_{2+1}$~~ &$C_d$ &$C_h$  &$R_{2+1}$~~ &$C_d$ &$C_h$  \\ \hline
 0.010  & 12.1$\pm$0.9 &1.02 &1.04 & 13.5$\pm$0.9 &0.92 &1.04
                & 11.5$\pm$1.3 &0.88 &1.03 & 12.6$\pm$0.6 &0.94 &1.05 \\
 0.015  & 10.0$\pm$0.8 &0.99 &1.04 & 10.8$\pm$0.8 &0.96 &1.05
                &  9.3$\pm$1.2 &0.89 &1.02 & 10.4$\pm$0.5 &0.96 &1.05 \\
 0.020  &  7.8$\pm$0.7 &0.96 &1.05 &  9.0$\pm$0.7 &0.96 &1.05
                &  8.6$\pm$1.1 &0.92 &1.01 &  8.6$\pm$0.5 &0.96 &1.05 \\
 0.030  &  5.3$\pm$0.6 &0.92 &1.10 &  6.5$\pm$0.5 &0.98 &1.08
                &  6.7$\pm$1.0 &0.95 &1.05 &  6.2$\pm$0.5 &0.96 &1.08 \\
 0.040  &  4.1$\pm$0.6 &0.93 &1.13 &  4.6$\pm$0.5 &0.96 &1.10
                &  4.6$\pm$0.8 &0.94 &1.06 &  4.4$\pm$0.4 &0.96 &1.08 \\
 0.050  &  3.3$\pm$0.5 &1.02 &1.16 &  3.6$\pm$0.5 &0.99 &1.11
                &  3.9$\pm$0.8 &0.93 &1.07 &  3.5$\pm$0.3 &0.99 &1.10 \\
 0.060  &  2.3$\pm$0.4 &0.94 &1.20 &  2.7$\pm$0.3 &1.02 &1.15
                &  2.9$\pm$0.7 &0.92 &1.07 &  2.6$\pm$0.2 &0.99 &1.13 \\
\hline
\end{tabular}
\end{center}
  \caption{ 2+1 jet production rates (in \%) corrected to the parton
level ($R_{2+1}$) and correction factors for
detector effects ($C_d$) and for hadronisation ($C_h$) in the
three $Q^2$ intervals and for the combined region. Errors
shown are statistical only. }
  \label{RJ_TABLE}
\end{table}
}

\section{${\cal O}(\mbox{$\alpha_{s}$}^2)$ Perturbative QCD Calculations }
\label{sec:qcd}

For NC electron-proton scattering, the 2+1 jet differential cross section
at the ${\cal O}(\mbox{$\alpha_{s}$}^1)$ LO level, expressed in terms of the above variables,
is given by:

$$ { {d^2 \sigma_{2+1}} \over {dx~dy}} =
    {{\alpha^2~\mbox{$\alpha_{s}$}} \over {y~Q^2}} \cdot \int {{dx_p} \over {x_p}} ~
               \int {dz} ~ \int {{d\Phi} \over {2\pi}} ~ (I_g + I_q),$$
where $I_g$ and $I_q$ are the gluon- and quark-initiated contributions
respectively \cite{QCD_KMS_3JET_89}
which contain singularities at
$z=0, \ z=1$ and $x_p=1$. The singularities correspond to the
limit where two partons are irresolvable due to
vanishing energy of one of the partons or vanishing opening angle.
In the BGF process the singularity is related to the collinear emission
of an outgoing quark in the proton remnant direction;
for the QCD Compton process the singularity occurs
when the momentum of the gluon is parallel to that of the quark
or when the quark emits a very soft gluon.
The integration must be done
numerically because of the $x$-dependent parton density distributions.
The integration limits for $z$ and $x_p$ in the JADE scheme
are functions of the scaled invariant mass cutoff $y_{cut} = m_{ij}^2/W^2$,
where $W$ is the reference mass scale and $m_{ij}$ is the invariant
mass between any two partons \cite{Brodkorb92}.
Any pair of partons with a scaled invariant mass below this
cutoff is not resolved. Therefore the singularities are regulated
by a single cutoff parameter $y_{cut}$. The leading order (LO) and
next-to-leading (NLO) order  2+1 jet cross section
can be expressed as:
$$ \frac {d\sigma_{2+1}^{LO}} {dx~dy} = c_{31} \cdot \alpha_s,$$
$$ \frac {d\sigma_{2+1}^{NLO}}{dx~dy} = c_{31} \cdot
                   \alpha_s + c_{32}\cdot \alpha_s^2.$$

Next-to-leading order corrections to $d\sigma_{2+1}$ include the
contribution from unresolved 3+1 jet  events as well as
negative corrections coming from virtual
loops \cite{Graudenz94,Brodkorb94}.
The coefficients $c_{ij}$ contain the hard scattering matrix elements and
the parton density functions of the incoming proton. The effect of a
change in \mbox{$\alpha_{s}$}\ on the parton densities is negligible
for our $Q^2$ range \cite{VOGT}.
The first index, $i$, stands for the jet multiplicity (including the
remnant jet) and the second index, $j$, represents the order of the
\mbox{$\alpha_{s}$}\ calculation.
After integrating over the jet variables ($x_p,z,\Phi$)
the coefficients $c_{ij}$ are functions of the event kinematic variables
$x,y$, \mbox{$y_{cut}$} \ and the factorisation scale $\mu_F$;
$c_{32}$ depends also on the renormalisation scale $\mu_R$ \cite{ingelman_rs}.
The parton densities contained in $c_{ij}$ are calculated at the scale $Q^2$.
In finite order perturbative QCD calculations \mbox{$\alpha_{s}$}\ depends on the
renormalisation scale $\mu_R$.
The 2+1 jet rates are derived from the cross sections by
$R_{2+1} = \sigma_{2+1} / \sigma_{tot}$.
The resulting ${\cal O}(\mbox{$\alpha_{s}$}^2)$ corrections to $R_{2+1}$,
using the NLO calculations, are considerable:
they vary from --20 to $+20$\%  when \mbox{$y_{cut}$}\ is varied between 0.01 and 0.06
in the kinematic region used for this study \cite{Brodkorb94,Graudenz94}.
The numerical cross section calculations are available in the DISJET
program \cite{DISJET} by Brodkorb and Mirkes, and in the PROJET
program \cite{PROJET} by Graudenz.
Both programs agree in their predictions of \mbox{$\alpha_{s}$}\ for a given
jet rate and they reproduce the shape of the measured jet rate
distributions as a function of \mbox{$y_{cut}$} \ well in the investigated kinematic
range (see below).

The renormalisation scheme used in the calculation is the $\overline{MS}$
scheme.
In second order, the dependence on other renormalisation schemes can
be completely specified by one parameter, which can be chosen to be the
value of the renormalisation scale $\mu_R$.
We chose $\mu^2_R=Q^2$ for our analysis.
The same scale is chosen for the factorisation scale $\mu_F$.
The parton densities were calculated with a fixed $\Lambda_{\overline{MS}}^{(5)} = 154$~MeV.
In the kinematic
range used in this analysis, the effect of varying $\Lambda_{\overline{MS}}$\ in the parton
densities is expected to be small \cite{VOGT}.
In the programs the contributions from the $c-$ and $b-$quarks
are zero in the parton density parametrisations below the single
quark mass thresholds, as defined in the $\overline{MS}$ factorisation
scheme. Above threshold, the contributions from the $c-$ and $b-$quarks
are calculated assuming zero mass.
The number of flavours in the formula for the running coupling constant is
changed at the single mass threshold, as required by the
$\overline {MS}$ renormalisation scheme, giving rise to five flavours
for $\Lambda_{\overline{MS}}$\ if $Q^2> m^2_b$.
At the BGF vertex we have used five flavours too because in the kinematic
range of this analysis $m^2_{ij}$ is above $4 \cdot m^2_b$.
Using four flavours at the BGF vertex in the PROJET program
would increase the $\mbox{$\alpha_{s}$}(M_{Z^0})$ value by 0.0025.
In the $x,Q^2$ region under study the contribution from massive $b-$quarks
to the proton structure function is calculated to be below 2\%  \cite{GRS}.

\section{Determination and $Q^2$ Dependence of \mbox{$\alpha_{s}$}}
\label{sec:jet_analysis}

The value of \mbox{$\alpha_{s}$}\ was determined by varying $\Lambda_{\overline{MS}}^{(5)}$ in the QCD
calculation until the best fit to the ratio $R_{2+1}$ was obtained
at \mbox{$y_{cut}$}~=~0.02.
The slope of the measured $R_{2+1}$ as a function of \mbox{$y_{cut}$}\
agrees with that from the calculation, showing that the result is not
sensitive to the particular value of \mbox{$y_{cut}$}\ used.
We chose \mbox{$y_{cut}$}~=~0.02 for the fit because the contribution from
$R_{3+1}$, which is a higher order effect,
becomes negligible for \mbox{$y_{cut}$}~$\geq$~0.02.
Furthermore the statistics are large and the jets are resolvable at
this value and the 2-jet system has a large invariant mass.

Figures~\ref{fig:jet_rates}a--d show the corrected jet rates,
$R_{1+1}, ~ R_{2+1}$ (also shown in Tab.~\ref{RJ_TABLE})
  and $R_{3+1}$ as a function of
\mbox{$y_{cut}$}\ for data compared with the DISJET and PROJET NLO QCD calculations
for the three $Q^2$ intervals and for the combined region.
Only statistical errors are shown.
All NLO terms are taken into account in both programs;
however, they use different approximations for some of these terms.
There is good agreement between the
corrected jet rate and the NLO QCD calculation over most of the
range in \mbox{$y_{cut}$}\ shown and in particular at the nominal \mbox{$y_{cut}$}~=~0.02,
where the \mbox{$\alpha_{s}$}\ value was extracted for this analysis.
Both programs agree well in their prediction of the jet-rate dependence
as a function of \mbox{$y_{cut}$}.
The best fit values for \mbox{$\alpha_{s}$}\
are used in the calculation. The range in \mbox{$y_{cut}$}\
was restricted to 0.01 to 0.06 because at lower values of
\mbox{$y_{cut}$}\ the jets are not experimentally resolvable  and
higher order corrections are significant,
while at larger values terms proportional to \mbox{$y_{cut}$},
neglected in the calculation, become significant.
Moreover, uncertainties in the renormalisation scale and the
hadronisation corrections also become
large for \mbox{$y_{cut}$}\ above $\approx 0.06$ \cite{ingelman_rs}.

The values of \mbox{$\alpha_{s}$}\ are plotted in Fig.~\ref{fig:as_q2}
as a function of $Q$ for each of the three $Q^2$ ranges.
They are calculated from the fitted values of $\Lambda_{\overline{MS}}^{(5)}$.
In Tab.~\ref{tab:as} the \mbox{$\alpha_{s}$}\ values determined for the three ranges in
$Q^2$ as well as for the full kinematic range are listed. Also shown are
the values of \mbox{$\alpha_{s}$}\ extrapolated to $Q=M_{Z^0}$.
Both statistical and systematic
errors (discussed in the following section) are given.

In addition Fig.~\ref{fig:as_q2} shows the curves for
$\Lambda_{\overline{MS}}^{(5)}$ = 100, 200, and 300~MeV.
The measured \mbox{$\alpha_{s}$}\ decreases with increasing $Q$, consistent
with the running of the strong coupling constant if $Q^2$ is taken as the
scale. The fit to
a running \mbox{$\alpha_{s}$}\ (where \mbox{$\alpha_{s}$}\ was determined in the full $Q^2$ range)
yields a $\chi^2$ of 2.2 for 2 degrees of freedom, which
corresponds to a confidence level of 58.6\%.
A least squares fit to the hypothesis of a constant \mbox{$\alpha_{s}$}\ was performed.
Only statistical errors were considered in this fit
as the systematic errors are strongly correlated.
This fit yields
a $\chi^2$ of 7.7 for 2 degrees of freedom, which corresponds to
a confidence level of 2.1\%.
Taking into consideration the systematic uncertainties,
the $\chi^2$ for constant \mbox{$\alpha_{s}$}\ varies from 4.4 (changing energy scale
by -5\%) to 10.3.
A constant \mbox{$\alpha_{s}$}\ is thus ruled out at 90\% confidence level.
The three values of \mbox{$\alpha_{s}$} , expressed at the mass of the $Z^0$ boson, are
consistent within the errors.

\begin{table}[htb]
\centerline{
\begin{tabular}{|c|c|c|c|c|}
\hline
  $Q^2$ & $<Q>$ & $\Lambda_{\overline{MS}}^{(5)}$ & \vspace*{0.2cm} $\mbox{$\alpha_{s}$}(Q)$ \vspace*{-0.2cm}
                               & \vspace*{0.2cm} $\mbox{$\alpha_{s}$}(M_{Z^0})$ \vspace*{-0.2cm} \\
        (~GeV$^2$~) & (~GeV~)  &   (~MeV~)      &          &                 \\
\hline
     & & & & \\
120 --~~240
     & 13.3
     & $251~  ^{+108}_{\ -97}   $ $^{+31}_{-74}  $ $^{+115}_{-105}$
     & $0.171~ ^{+0.015}_{-0.017}$ $^{+0.005}_{-0.012}$ $^{+0.016}_{-0.018}$
     & $0.120~ ^{+0.007}_{-0.008}$ $^{+0.002}_{-0.006}$ $^{+0.007}_{-0.009}$\\
     & & & & \vspace{-0.1cm} \\
240 --~~720
    & 20.4
    & $217~  ^{+90}_{-74}    $ $^{+76}_{-60}    $ $^{+119}_{\ -67}$
    & $0.152~ ^{+0.011}_{-0.011}$ $^{+0.010}_{-0.009}$ $^{+0.014}_{-0.010}$
    & $0.117~ ^{+0.006}_{-0.007}$ $^{+0.006}_{-0.005}$ $^{+0.008}_{-0.006}$ \\
    & & & & \vspace{-0.1cm} \\
720 -- 3600
    & 35.5
    & $86~   ^{+82}_{-58}    $ $^{+30}_{-47}    $ $^{+61}_{-24}$
    & $0.118~ ^{+0.013}_{-0.017}$ $^{+0.006}_{-0.012}$ $^{+0.010}_{-0.006}$
    & $0.103~ ^{+0.010}_{-0.013}$ $^{+0.004}_{-0.010}$ $^{+0.008}_{-0.004}$\\
    & & & & \vspace{-0.1cm} \\
\hline
    & & & & \vspace{-0.1cm} \\
120 -- 3600
    &  22.1
    &  $208~  ^{+64}_{-53}    $ $^{+57}_{-50}   $ $^{+89}_{-75}$
    &  $0.148~ ^{+0.008}_{-0.008}$ $^{+0.007}_{-0.007}$ $^{+0.011}_{-0.012}$
    &  $0.117~ ^{+0.005}_{-0.005}$ $^{+0.004}_{-0.005}$ $^{+0.007}_{-0.007}$\\
    & & & &  \vspace{-0.01cm} \\
\hline
\end{tabular}
        }
\caption{
The measured values of $\Lambda_{\overline{MS}}^{(5)}$ and \mbox{$\alpha_{s}$}\ for the three ranges in $Q^2$
as well as for the full $Q^2$ range.
The first error is statistical, the second corresponds to the
experimental systematic uncertainty and the third to the theoretical
systematic uncertainties (hadronisation, parton density and scale
uncertainty).
        }
\label{tab:as}
\end{table}

\section{Systematic Uncertainties}
\label{sec:systematics}

\subsection{Experimental, Hadronisation and Parton Density Effects}

Sources of systematic uncertainties in the \mbox{$\alpha_{s}$}\ determination were grouped
into the following classes: event selection, energy scale,
jet analysis, fitting
method, model dependence of detector corrections, hadronisation corrections
and parton density
(see Fig.~\ref{fig:syst}).
The first five classes were attributed to the
experimental systematic error. The uncertainties were studied for each of
the three $Q^2$ ranges separately as well as for the combined kinematic region.
Only the systematic uncertainty from the latter study is described here.
To illustrate the systematic uncertainty in \mbox{$\alpha_{s}$}\  associated with each
systematic effect, the fitted \mbox{$\alpha_{s}$}\ value obtained when the systematic
effect is varied was compared with the central value of
\mbox{$\alpha_{s}$}\ (see Tab.~\ref{tab:as}).

The subgroups of experimental
systematic errors are denoted by (a)-(e).
The systematic errors from the event selection (a) included: effect of using a
different electron finding algorithm; variations of the selection criteria,
$E-P_Z>45$ GeV; $y_e < 0.7$.
The errors from the energy scale (b) included a $\pm 5\%$ error assigned
to the uncertainty of the calorimeter energy response.
The errors from the jet analysis (c) included:
the choice of a different mass
scale, $W^2_{DA}= s\,(1-x_{DA})\,y_{DA}$  and
$W^2_{JB}=s\,(1-x_{JB})\,y_{JB}$,
in the JADE scaled mass definition, $y_{ij}=m^2_{ij}/W^2$;
the cells around the FCAL beam pipe, which contain mainly the proton remnant,
were first preclustered and the resulting objects were used in the jet
clustering algorithm (instead of the cell vectors themselves).
The errors from the fitting method (d) included: a QCD fit at
\mbox{$y_{cut}$}=0.03 instead of \mbox{$y_{cut}$}=0.02;
the analysis was cross-checked by a QCD fit to the differential
jet rates, $D_{1+1}$, defined by
$D_{1+1}(\mbox{$y_{cut}$})=[R_{1+1}(\mbox{$y_{cut}$}+\Delta\mbox{$y_{cut}$})-R_{1+1}(\mbox{$y_{cut}$})]/\Delta\mbox{$y_{cut}$}$;
a more restrictive $z$-cut, $0.15<z<0.85$, was used.
Finally, the error from the model dependence
of the corrections for the detector acceptance and resolution (e)
was estimated by using the
colour-dipole model \cite{CDM} as implemented in the ARIADNE~4.06 Monte Carlo
\cite{ARIADNE4}.
The largest uncertainties for each subgroup were added in quadrature
to give the experimental systematic error.

To evaluate the uncertainty of the hadronisation correction, several
aspects of the hadronisation scheme were varied while the standard
detector corrections based on the LEPTO MEPS Monte Carlo were retained.
These studies were performed at the generator level.
First, parameters in the Lund
string fragmentation model \cite{JETSET} were varied:
$a$ in the `symmetric fragmentation
function', which regulates the longitudinal quark fragmentation,
was varied between 0.1 and 1; $\sigma_{Pt}$, which controls the hadron
transverse momentum distribution was varied between 0.25 and 0.45 GeV.
Second, parameters of the parton shower model
employed in the LEPTO MEPS Monte Carlo were changed: $y_{min}$
was varied between 0.005 and 0.015;
the minimum virtuality scale, $Q_0$, at which the parton showering is
stopped, was changed from 0.8 to 4~GeV; the primordial transverse
momentum $k_T$ of the struck parton in the proton was varied from 0.44 to
0.7~GeV.
Finally, a
completely different hadronisation model as
implemented in the  HERWIG~5.8 Monte
Carlo \cite{HERWIG} was used.  Most of these changes
result in relatively small systematic errors in  \mbox{$\alpha_{s}$}\
as shown in Fig.~\ref{fig:syst}.
The two largest deviations from the central value of \mbox{$\alpha_{s}$}\ arise from
the change of the hadronisation model and from the variation of $Q_0$.

We also repeated the analysis with parton density sets MRSA, GRV~HO, and
CTEQ~3M in the NLO calculation, all of which describe the results from
present DIS data well \cite{zeusf2}.
The differences in
\mbox{$\alpha_{s}$} (22.1~GeV)  from the central value are small ($<$~0.0022),
as shown in Fig.~\ref{fig:syst}. The fitted
\mbox{$\alpha_{s}$}\ value depends only weakly on the \mbox{$\alpha_{s}$}\ value used in the parton
density parametrisations \cite{VOGT}.

In the $x,Q^2$ region under study the contribution from massive $b-$quarks
to the proton structure function is calculated to be below 2\%  \cite{GRS}.
The effect of calculating with four instead of five flavours at the
BGF vertex was estimated with the PROJET program and was found to increase
$\mbox{$\alpha_{s}$}(M_{Z^0})$ by 0.0025. This number is not included in the systematic errors
given.

\subsection{Scale Dependence Effects}
\label{sec:discussion}

Our best estimate of the scale uncertainty in
the measured \mbox{$\alpha_{s}$}\ was obtained from DISJET and PROJET
by varying $\mu_R$ and $\mu_F$ from $0.4~Q^2$ to  $2.0~Q^2$,
redoing the fit to the jet rates and evolving
to obtain the corresponding value of \mbox{$\alpha_{s}$}\ at the original scale $Q$ (shown in
Fig.~\ref{fig:syst} for the full $Q^2$ range).
The scale dependence decreases with increasing $Q$ and
becomes negligible in the highest $Q^2$ interval. It is
slightly larger in DISJET than in PROJET.

Deep inelastic production of jets is a multi-scale process and it is not
evident that $Q^2$ is the best choice \cite{Brodkorb94,SCALES}
for the renormalisation and factorisation scales in the perturbative
calculation. Alternative scales have been suggested,
e.g. $p_T^2$ of the jets or the square of the invariant mass, $m_{ij}^2$,
of the two jets.
As a simple test the ratios $<p_T^2/Q^2>$ and $<m_{ij}^2/Q^2>$
were evaluated for the full $Q^2$ range for 2+1 jet events
and were used to estimate the resultant change of scale and hence of the
uncertainty in \mbox{$\alpha_{s}$} .
For our events these ratios typically lie between 0.4 and 2, i.e.
within the range explored above in our estimation of the scale uncertainty
using DISJET and PROJET.

For each group in Fig.~\ref{fig:syst} we quote the largest deviation from the
central value in each direction as the systematic error. The positive and
negative deviations are then added in quadrature separately
to give the systematic error.
The total systematic uncertainty for the value of \mbox{$\alpha_{s}$}\ resulting from
the effects
studied in Fig.~\ref{fig:syst} is comparable to the statistical errors.
In the final result given below the uncertainties from the experimental and
theoretical systematic effects (hadronisation, parton density distributions
and scale effects) are quoted separately.

\section{Summary}
\label{sec:conclusions}

Multi-jet production in $ep$ collisions was investigated using the
JADE jet
definition. In $ep$ collisions the application of the single jet
resolution parameter, \mbox{$y_{cut}$} ,  is
not sufficient to restrict the phase space of 2+1 jet production  to an
experimentally well understood and theoretically safe region. An
additional cut on the parton variable $z$ is introduced, which
excludes the problematic region where higher order effects are important
and jets are not well measured in the experiment.
With this additional cut the multi-jet production rate in DIS is
well reproduced by ${\cal O}(\mbox{$\alpha_{s}$}^2)$ perturbative QCD calculations.

The value of $\mbox{$\alpha_{s}$}(Q)$ was determined in three $Q^2$ regions in a single
experiment and was found to decrease with $Q$, consistent with the
running of the strong coupling constant.

The value for \mbox{$\alpha_{s}$}\ using the data from the entire kinematic range
$120<Q^2<3600$~GeV$^2$, and expressed at the $Z^0$ mass is given by:
\begin{eqnarray}
 \mbox{$\alpha_{s}$} (M_{Z^0}) & = & 0.117~\pm~0.005~(stat)~^{+0.004}_{-0.005}~(exp)
                 ~^{+0.005}_{-0.004}~(had)~^{+0.001}_{-0.001}~(pd)
                 ~^{+0.005}_{-0.006}~(scale) \nonumber \\
   & = & 0.117~\pm~0.005~(stat)~^{+0.004}_{-0.005}~(syst_{exp})~
\pm 0.007 ~(syst_{theory}), \nonumber
\end{eqnarray}
 where {\it stat} corresponds to the statistical error and the systematic
 error components ({\it syst}) consist of the experimental ({\it exp}),
hadronisation ({\it had}),
parton density ({\it pd}) and the scale ({\it scale})
related uncertainties.
The overall systematic error is separated into its experimental
({\it exp}) and theoretical ({\it theory}) contribution.

Our value of \mbox{$\alpha_{s}$}\ is consistent with the most recent compilation
by the Particle Data Group \cite{PDG_as} of
previous measurements of $\mbox{$\alpha_{s}$} (M_{Z^0})$ using different methods:
$0.112 \pm 0.005$ (DIS),
$0.121 \pm 0.006$ ($e^+e^-$ event shape analysis)
and $0.124 \pm 0.007$ ($Z^0$ width).
The good agreement between our value of \mbox{$\alpha_{s}$}\ and
the results obtained using other methods in different
kinematic regimes represents a significant test of QCD.

\section*{Acknowledgements}
We thank the DESY directorate for their strong support and encouragement, and
the HERA machine group for their remarkable achievement in providing colliding
$ep$ beams.

It is a pleasure to thank E.~Mirkes and D.~Graudenz for providing NLO codes,
incorporating experimental needs, and for enlightening
discussions and comments. We  also wish to thank S.~Bethke, S.~Catani,
G.~Ingelman and A.~Vogt for fruitful discussions and comments.

redpajama_set_name: RedPajamaArXiv


text:
North Point Hospitality Breaks Ground On First Tri-Branded Marriott Hotel In U.S.
By nphospitality | Development, Marriott, News | No Comments
Unveils One of a Kind LEGO® Model of New Nashville Hotel
NASHVILLE, Tenn. – (July 15, 2016) – North Point Hospitality, an Atlanta based hotel development and management company, has broken ground on the first tri-branded Marriott Hotel in the U.S.; and unveiled an original 300-pound model of the hotel made with 63,636 LEGO bricks. The commissioned model was designed by award-winning master artist Sean Kenney.
North Point Hospitality Group Secures Financing for SoBro Tri-Branded Marriott; Project To Add 468 Hotel Rooms to Nashville
NASHVILLE, Tennessee (April 26, 2016) – Nashville is about to gain 468 hotel rooms next to the Music City Center convention facility now that financing is set and construction nears on the first Marriott tri-branded property in the U.S.
North Point Hospitality Group, Inc. Sells SpringHill Suites by Marriott Savannah Historic District
By nphospitality | Marriott
North Point Hospitality Group, Inc., an Atlanta based hotel development and operations company, announced the sale of its 160-unit SpringHill Suites by Marriott Savannah Historic District on Thursday, December 5, 2013. The property was purchased by a Florida based real estate investment trust at a purchase price of $250,000 per unit.
For media requests:
Hampton Inn & Suites by Hilton Hotel Celebrates Topping Out in Midtown Atlanta, GA
With North Point Hospitality, Marriott Opens First Triple-Brand Hotel Combining AC Hotels, Residence Inn and SpringHill Suites in Downtown Nashville
Meetings and Conventions: Nashville to Get Country's First Tri-Branded Marriott Hotel
Business Traveler USA: Marriott Tri-Brand Plans January Opening in Nashville
North Point Hospitality Closes on Two Parcel Site in Midtown Nashville
North Point Hospitality Announces 2017 Executive Of The Year and Hotel Of The Year
New Hampton Inn & Suites by Hilton Hotel Breaks Ground in Midtown Atlanta, GA
North Point Hospitality Hotels Receive Top Awards From Marriott International
Meetings and Conventions: Nashville to Get Country's First Tri-Branded Marriott Hotel
© 2019 North Point Hospitality.

redpajama_set_name: RedPajamaCommonCrawl


text:
BASEL LUTE DAYS
Duo with Nehad El Sayed
Duo with Tessa Roos
PETER CROTON
PETER CROTONPETER CROTONPETER CROTON
Award-winning lutenist and romantic-guitarist Peter Croton is an active performer and recording artist as soloist and accompanist. In the press he has been called a "lyric poet of the lute" and has been praised for his "breath-taking virtuosity" and "astonishing range of tone colors and dynamics". His compositions for voice & lute have been described as "challenging and refined... highly suited for inclusion in today's concert repertoire".
His newest book, A METHOD FOR THE RENAISSANCE LUTE, WITH A SUPPLEMENT FOR THE ARCHLUTE, is now available.
Born in the USA, Peter Croton lives in Switzerland where he teaches lute, romantic guitar, and continuo at the Schola Cantorum Basiliensis, as well as lute, historical performance practice and guitar continuo at the Conservatories of Basel and Bern. His musical activities, however, are not limited to early music. In addition to playing cello, at six he began performing as folk guitarist and singer. At twelve he began classical guitar lessons with Leon Atkinson, and later played guitar in various jazz ensembles. Starting in 1979 he studied lute and classical guitar with Dr. Loris Chobanian (Oberlin Conservatory of Music) and lute with Eugen Dombois and Hopkinson Smith (Schola Cantorum Basiliensis).
He won first prize at the Erwin Bodky Competition for Early Music in Cambridge MA (1984) and has also won prizes at other international competitions. He has recorded numerous CDs and appeared on television and radio as soloist and chamber musician. Peter's regular duo partners have included the singers Derek Lee Ragin and Theresia Bothe, as well as the Egyptian oud-player Nehad El Sayed, and he has appeared at many international festivals.
His instruction manual Figured Bass on the Classical Guitar: a practical approach based on historical principles was published by Amadeus Verlag (2005). Six of his compositions for lute and voice were published by the German Lute Society (1999), and his four new settings of texts by William Shakespeare for lute and voice by Tree Edition, 2009. His book PERFORMING BAROQUE MUSIC ON THE LUTE & THEORBO: a practical handbook based on historical sources was published in 2016 on Amazon/Createspace; Hopkinson Smith has praised its "wealth of information and insight". His book PERFORMING BAROQUE MUSIC ON THE CLASSICAL GUITAR: a practical handbook based on historical sources was published in 2015, likewise on Amazon/Createspace; David Russell calls it a "fabulous book – it will be a great help and inspiration to many guitarists".
Peter is President of the German Lute Society (Deutsche Lautengesellschaft), and is the initiator & artistic director of BASELPLUCKS - Festival for lute & guitar
LEBENSLAUF (DEUTSCH)
Special project: "The Lute's Journey on the Silk Road".
silk road flyer english (pdf)
© 2017 by Peter Croton. All rights reserved


Michael Kors is a world–renowned, award winning designer of luxury accessories and ready-to-wear.
His namesake company, established in 1981, currently produces a range of products under his signature Michael Kors Collection and MICHAEL Michael Kors labels. These products include accessories, footwear, watches, jewellery, men's and woman's ready-to-wear, eyewear, and a full line of fragrance products. Behind this burgeoning empire stands a singular designer with an innate sense of glamour and an unfailing eye for timeless chic.
Michael Kors has won numerous awards within the fashion industry, been honoured for his philanthropy, and earned the respect and affection of millions. Wholly dedicated to a vision of style that is as pragmatic as it is indulgent, as timeless as it is modern, Michael Kors has created am enduring and iconic luxury empire with a global reach.
Rivoli Jewellers is an official stockist of Michael Kors Jewellery and Michael Kors Watches in Jersey, Channel Islands.
Page 1 of 1. Displaying 12 items per page. 9 items in total.


Fun to see how it goes!
It is so great to see how it goes with the previous 2 parts, the bottom border and the crosses. It is not really visible here on the website, but on the facebook groups a lot of pictures are shown (sorry for the ones who follow this without facebook). It is clear that the setup for most people is something that you have to bite through a bit, but after that the crocheting is delightful. And I'm happy to see almost everyone experiences it this way. It is also very nice for me to notice that all the materials I made is helping you.
Today it is time for the next part: the Greek Meander. It feels so fitting with the colors I chose, the blue and white. I have never been to Greece, that is something that's still on my wishlist, but I've seen enough about it of course. And who doesn't know Mamma Mia 🙂 . I always liked the pattern. It is so simple, and yet I have to look each time again how to draw it. It seemed to me a pattern that would fit in the blanket anyhow. It will require a bit more counting, but still easy to remember.
You can find part 3 by clicking the following link or in the menu under HAL CAL: click here for part 3 <removed>.
Wishing you a lot of fun again with this part!
Hi Pam, I'm sorry, but I don't have that. Don't know if you're on the facebookgroup, but you can find help from other lefthanded people there. Hope you will manage to do this!


Finally I made it along to one of the BCS Manchester events. After re-joining the BCS last year this is the first of the local events that I've made it to, and it was excellent.
David Toon (@davidtoon83) presented his take on Kanban and took the group through the 4 principles of Kanban.
The group clearly had different levels of exposure in using Kanban and some used it for DevOps while others used it in a support role.
One of the things that struck me about Dave's presentation was that he strongly advocated using it in conjunction with other methodologies such as SCRUM and even Waterfall…!
Anyway, the event was a success and the post-event beers went down well.
Really enjoyed @datoon83's #kanban talk @bcs_agile tonight. Some great discussions from the floor. Thanks for everyone's input.
It looks like I may have been collared to d a write-up of the event so watch this space!


text:
Meet the first-ever accessibility engineer at The Washington Post
Alaska's largest news site (which previously bought Alaska's largest newspaper) is going bankrupt, but also getting new owners
LINK: www.adn.com ➚ | Posted by: Laura Hazard Owen | August 14, 2017
Alaska Dispatch News — Alaska's largest news site, which in 2014 acquired Alaska's largest newspaper, the Anchorage Daily News, from McClatchy — is filing for bankruptcy but also getting new owners, publisher Alice Rogoff announced over the weekend.
"Like newspapers everywhere, the struggle to make ends meet financially eventually caught up with us. I simply ran out of my ability to subsidize this great news product," Rogoff said in a statement. (We first wrote about the online Alaska Dispatch back in 2010.)
Financial realities can't be wished away. Fortunately, our legal system provides a mechanism for reorganizing the company, bringing in new capital, and keeping it going through the transition. That is what we are doing. In placing the Dispatch under the jurisdiction of the courts through Chapter 11 of the bankruptcy code, the newspaper will continue doing what it does best. It will emerge from the process in a short time, able to navigate these challenging economic times in a stronger position.
As of Sunday, "a group of lifelong Alaskans…have come together to save the ADN during this interim time." The new owners are Ryan Binkley, "a fourth-generation riverboat captain who has led his family business in Fairbanks, The Riverboat Discovery and Gold Dredge 8, for the last 11 years," and his siblings, and Jason Evans, who is "the president of Rural Energy Enterprises, has experience on numerous boards and is the owner of Alaska Media LLC, which owns three newspapers in rural Alaska."
The newsonomics of 50/50 and the unchaining of the U.S. press
Ken Doctor
The purchase price for Alaska Dispatch News "could be up to $1 million." Alaska Dispatch News purchased the Anchorage Daily News for $34 million three years ago. "By virtue of the $34 million that Alice paid for the Daily News, the Daily News is likely the most valuable newspaper of its size in the U.S.," Anchorage Daily News editor Pat Dougherty claimed at the time. "Does that sound like an unsuccessful business? If it were so unsuccessful, why would Alice buy it? The irony is that the Dispatch was the failing business. The Dispatch had to buy the Daily News in order to survive."
Craig Medred, an independent Alaska journalist, has more, writing, "Potential Dispatch buyers who became familiar with the current financial situation of the ADN said bankruptcy is probably the worst result for current employees of the newspaper, but possibly the only way to save the newspaper in Anchorage."
Alaska Dispatch News runs on The Washington Post's digital publishing platform, Arc. Earlier this year, the paper cut its print edition from seven to six days a week and added a paywall, with digital access for $9.99 a month.
Show tagsHide tags
alaska daily news
Alice Rogoff
Anchorage Daily News
Owen, Laura Hazard. "Alaska's largest news site (which previously bought Alaska's largest newspaper) is going bankrupt, but also getting new owners." Nieman Journalism Lab. Nieman Foundation for Journalism at Harvard, 14 Aug. 2017. Web. 1 Feb. 2023.
Owen, L. (2017, Aug. 14). Alaska's largest news site (which previously bought Alaska's largest newspaper) is going bankrupt, but also getting new owners. Nieman Journalism Lab. Retrieved February 1, 2023, from https://www.niemanlab.org/2017/08/alaskas-largest-news-site-which-previously-bought-alaskas-largest-newspaper-is-going-bankrupt-but-also-getting-new-owners/
Owen, Laura Hazard. "Alaska's largest news site (which previously bought Alaska's largest newspaper) is going bankrupt, but also getting new owners." Nieman Journalism Lab. Last modified August 14, 2017. Accessed February 1, 2023. https://www.niemanlab.org/2017/08/alaskas-largest-news-site-which-previously-bought-alaskas-largest-newspaper-is-going-bankrupt-but-also-getting-new-owners/.
| url = https://www.niemanlab.org/2017/08/alaskas-largest-news-site-which-previously-bought-alaskas-largest-newspaper-is-going-bankrupt-but-also-getting-new-owners/
| title = Alaska's largest news site (which previously bought Alaska's largest newspaper) is going bankrupt, but also getting new owners
| last = Owen
| first = Laura Hazard
| ref = {{harvid|Owen|2017}}
Join the 60,000 who get the freshest future-of-journalism news in our daily email.
"It is definitely stressful to be the first in this new role. I feel deep down like I need to justify its creation with every step that I take."
BDG CEO Bryan Goldberg called Gawker "a pre-monetization product," but the brand is really old in internet years.
"How is it possible that my state, that I've lived in all my life, is run like this?"


Fabulous 4 Bedroom brick home nestled in a quiet West Florence neighborhood. House is freshly pained with new carpet in the Master bedroom. Lots of extras in this home for you to enjoy like stainless steel kitchen appliances, an upstairs fourth bedroom, extra large closet space in all the bedrooms and a double closet in the master bedroom. Large fenced in yard with extra pet fence devider, outdoor pizza oven, and storage building. Come see why this house should be your home.


MZI Resources employs around 90 people (directly and indirectly), at our Keysbrook operation, located 70km south of Perth CBD, with approximately 90% of our workforce residing locally.
We are a small dynamic and supportive team working together to provide long term benefits for our employees, community and shareholders.
MZI offers a satisfying work environment where "you can make a difference" with attractive working conditions, family friendly rosters, a strong teamwork culture and opportunities for personal growth and development.
We are committed to providing a safe and healthy workplace combined with sound environmental management and positive community relations.
If this sounds like the Company that you would like to be a part of and make a contribution, we would be pleased to receive your resume.
Resumes may be sent to careers@mzi.com.au.
We encourage applications from people of all genders, Indigenous Australians, mature age people and people from culturally diverse backgrounds.


text:
Ground Combat Vehicle development delayed
The Army is delaying its next-generation Ground Combat Vehicle program…
The Army is delaying its next-generation Ground Combat Vehicle program by extending the technology development (TD) phase by six months, according to a memo obtained by Defense News.
The Army also plans to award an engineering and manufacturing development (EMD) contract to a single vendor — as opposed to the previously planned two vendors — in late fiscal 2014, the letter said.
A Jan. 17 memo (PDF) from the Pentagon's head of acquisition, logistics and technology to the Army secretary states that the changes are being made "in anticipation of the fiscal pressures over the FY14-18 timeframe," and "the need for additional development time led to this restructured program."
By moving the program's schedule back by six months, a final production decision is now expected some time in fiscal 2019 as opposed to the expected first quarter of fiscal 2018.
Read more at Army Times
Crew evacuated from Navy minesweeper stuck on Philippine reef
The Army is delaying its next-generation Ground Combat Vehicle program by extending the technology…
by Tactical-Life	/ Jan 18, 2013
GIVEAWAY: WIN a Daniel Defense DDM4V7 Pistol, Ammo, Scope &...
10 Backcountry Pocket Pistols For Hunting, Self-Defense
SIG M400 Tread: 2019 Reader's Choice for 'Best Semi-Auto Rifle'


I love and appreciate that I have clients who live in this hood and request me on a regular basis for their hair. It's been an amazing training ground for B. The Product, and it's allowed me to do and see things most hairstylists don't get to experience. I've been driving up these streets now for over a decade. In the beginning it always seemed like I was running behind. Now it seems like I'm always ahead of schedule. Maybe that's age, maybe it's experience, maybe it's both. Either way, I loved every minute of it and I wouldn't change it for the world. I told my client the other day that when I die, I want to come back as me. She loved that. It's true. No matter what type of stress or transition I've gone through, I'm still glad I did it, and can't wait to do more!


A new addition to our collection, this large aluminium and glass rope lantern is a stylish and unusual feature accessory.
Standing 22 cm tall and with a circumference of 30 cm, it features polished aluminium on base and top with milky-white glass and brushed aluminium rope detailing.
A wonderful statement piece chosen by our design team, this lamp can be paired with one the same size. Or group it with the smaller rope lanterns in our home accessories collection.
Retail Furnishing handpicked this design for its cool modern update of nautical style.
Decorative and practical, this lantern can comfortably take a large pillar candle and looks superb in a hall or living room.
This elegant update of a traditional sailors' lantern ticks all boxes for style.
Robust and portable, it's easy to carry with you onto the deck or down the garden.
The combination of polished and brushed aluminium works with both modern and traditional home decor.


text:
package com.lovecws.mumu.pig.eval;

/**
 * @author babymm
 * @version 1.0-SNAPSHOT
 * @Description: 年月日
 * @date 2017-10-24 11:07
 */
public class DairyDateFormatEval extends DateFormatEval {
    public DairyDateFormatEval() {
        super("yyyy-MM-dd");
    }
}

redpajama_set_name: RedPajamaGithub


text:
By clicking any link on this page you are accepting the website's Terms and conditions. OK, I agree
Contact EU Aid Volunteers
EUROPEAN CIVIL PROTECTION AND HUMANITARIAN AID OPERATIONS
EU Aid Volunteers platform
What is expected from volunteers
What you can expect as volunteer
Active volunteers
Learning and development plan
Formed in accordance with the law of a EU Member State and whose headquarters are located within the Union.
Find sending organisations Get certified as a sending organisation
Hosting organisations
Operating or established in a third country under the laws in force of that country or operating in a third country as an affiliate of an EU based organisation.
Find hosting organisations Get certified as a hosting organisation
EU Aid Volunteers complementing humanitarian aid: strengthening the link through deployment, capacity building and technical assistance
DG ECHO
OrganisationsProjectsVacanciesStories
MdM Deployment of EU Aid Volunteers 2019
Senior EU Aid Volunteer - Medical Quality of the Public Health Institutions in Senegal
— 1 positions
Deployment dates:
Visit lead organisation site
Lead organisation:
Médicos del Mundo ES
Collaborating Organisations:
Dokters Van De Wereld
Médecins du Monde - Dokters van de Wereld
Médicos del Mundo - Bolivia
Médicos del Mundo has been involved since 2003 in Senegal in the field of primary health care, sexual and reproductive health, universal health coverage and the defense of the fundamental rights of the most vulnerable groups, particularly the right to health. In the region of Dakar, several interventions are being developed in these sectors, following an approach based on Human Rights and Gender: - Maternal health improvement of the most vulnerable groups of the Pikine Health District; - Promotion of sexual and reproductive rights in the region of Dakar, Senegal; - Defense and promotion of the Human Rights of the LGTBI and support for the reduction of their vulnerabilities; - Promotion of the Right to Health of the most vulnerable, marginalized and excluded groups in the region of Dakar, Senegal. At both the strategic and operational levels, we give priority to networking. Likewise, the projects are developed in collaboration with the Ministry of Health and its decentralized services at the local level, key public institutions such as the National Committee for the Fight against AIDS or the National Division of Reproductive Health and civil society organizations: the National Network of Key Populations, the National Alliance for the Health of the Communities, the Association of Senegalese Jurists, among others. Our intention is not to replace the public health system but to strengthen it so that it complies with its duties, obligations and responsibilities. Therefore, our projects seek to strengthen local capacities, both at the institutional and community level.
Operational details & security context
Operational context:
Médicos del Mundo has been involved in Senegal since 2003. With its extensive record in the country, it has the necessary resources at the operational level to carry out its interventions.
1. Material and logistical resources: Médicos del Mundo has an office/house in Mermoz, a central district of the city of Dakar in Senegal. The office is fully equipped with all the necessary equipment (computers, printers, internet, offices, etc.), and has a kitchen, a room and everything that is needed to accommodate the volunteer. Also, three vehicles are available for the activities that are carried out in the region.
2. Human resources: MdM has a permanent technical team based in Dakar (1 expatriate: the country coordinator, and 13 national staff) to carry out their interventions in the region and conduct coordination and supervision tasks. In addition, the team in the field works closely with its assigned team at the headquarters of Madrid, giving support to both the formulation, monitoring and evaluation of interventions, among other coordination tasks.
3. Local, technical and financial partners in the field: networking is the cornerstone of the MdM intervention strategy in Senegal. The projects are implemented in collaboration with the Ministries of Health and Social Action (MSAS) and their decentralized services (Medical Region of Dakar, Sanitary Districts, National Center for the Fight against AIDS), as well as with civil society organizations (National Agency for Communities in Health (ANCS), Association of Senegalese Jurists (AJS), National Network of Key Populations (RENAPOC), etc.) In parallel, a permanent contact is maintained with representatives of donors and international agencies present in Dakar: ECHO, AECID, EIGHT, etc.
Security context:
Senegal is a relatively safe country, but not without risks. Therefore, it is advised to stay cautious and vigilant, as well as avoid places with high concentrations of people and the common places where foreigners meet, particularly some hotels in Dakar. It is advised that the passport or a copy of it be carried with you, in case the Senegalese authorities might require to identify you. Sexual relations between people of the same sex are punishable by imprisonment and fines. See the section Others. Drug use is heavily punished. See the section Others.
a.Terrorism: In response to the security threats that affect other countries in the region, related to the crisis in Mali and with Boko Haram, prudence and caution are recommended. The level of risk has increased in the northeastern area of Senegal (Matam region), bordering Mauritania. As regards the Casamance region (between the southern border of Gambia and the northern border of Guinea Bissau), there has been an upsurge in violence since beginning of 2018 and security risks persist, linked to the presence of mines and acts of banditry. MdM does not intervene in this region of the country.
b. Natural disasters: No notable risks.
c. Citizen security and criminality: in general, regarding the whole country, it is recommended to:
- Maintain vigilance and prudence during any trips.
- Carry out day trips and preferably in groups of several vehicles.
- Avoid public gatherings and high concentrations of people (especially places of worship and sports events such as the Senegalese fight). It is advised that citizen security measures be stepped up in large agglomerations and avoid isolated areas. It is also necessary to be particularly alert to scams, under the pretext of making friends, selling items or working as a guide.
It is recommended not to wear expensive jewelry or clothes, and to look after your passport, identity documents, money, credit cards and airline tickets. In the city, thefts have been detected recently using the "pull and run" method, so when walking it is recommended to stay away from the road.
In Dakar, it is advised to be cautious when it comes to walking or playing sports in the West Corniche areas and never do it at night. Avoid walking along the tracks near the hills of Mamelles, as there has been an increase in vehicle thefts in that area.
Due to the poor condition of some roads and some means of transport, public or private, extra care must be taken when traveling. Road accidents are relatively frequent.
The volunteer will be responsible, among other things, for:
•	Review the contents of the trainings which will target health staff
•	Review the safety and first aid protocols of MdM Senegal
•	Conduct training in first aid to the personnel of MdM
•	To review the health situation in Senegal and the main health problems:
-	Review of the main health indicators
-	Epidemiological analysis
-	Review of health determinants.
•	Accompany the technical team in awareness and health promotion activities at the community level.
Required competences
- Health training - Knowledge in human rights, gender, public health, sexual and reproductive health - Experience in the International Cooperation sector - Identification with the lines of work, values and mission of Médicos del Mundo - Valuable knowledge of the context (Dakar, Senegal, Sahel) - Organizational, adaptation and teamwork capacity - Dynamism, proactivity and flexibility - Rigor and autonomy at work - High command of spoken and written French
Applications are made directly within the sending organisation, please check out the how to apply section.
Eligibility and exception criteria
The candidate for EU Aid Volunteers must be a citizen of the EU or a third country national who is a long-term resident in an EU Member State, and must have a minimum age of 18 years.
-	Health training
-	Knowledge in human rights, gender, public health, sexual and reproductive Health
-	High command of spoken and written French
Condition of service
Through this experience the volunteer:
•	Will improve his/her knowledge about health problems in vulnerable contexts
•	Will improve his/her knowledge about the functioning of the Senegalese health system.
•	Will improve his/her knowledge about how health determinants and intervention strategies affect
•	The volunteer will know the importance of community interventions in public health projects
Working and Living Conditions
The living conditions in Dakar are comfortable.
Basic services are accessible without any difficulty. Monthly, the volunteer will receive daily allowances (470, 18 euros / month) that will allow him or her to cover food expenses. Accommodation is provided by MdM in Dakar in the guest's house. Moreover, the volunteer will be provided with:
- International Insurance
- Airline ticket country of residence-Madrid-Dakar-Madrid-country of residence
Finally, MdM will assume the cost of living of the training, briefing and debriefing.
The volunteer will work under the supervision of the country coordinator and the local coordinators in the field. The working hours are 40 hours per week. The volunteer will have a computer and a cell phone.
Shortlisting and Interviews
Shortlisting and interviews are expected to take place via Skype.
Please note that only completed applications that are submitted through http://www.mdm-euaidvolunteers.org/join-euav/ will be considered. Applications should include:
• Completed EUAV application form (in French)
• CV in Europass format (in French)
• Completed EU Aid Volunteer self-assessment questionnaire (in French)
• Motivation Letter (in French)
Skype interviews will be held with shortlisted candidates.
The successful candidates will attend a mandatory online and on-site training provided by the EU before her/his deployment.
The on-site training will have a mandatory section for all the candidates as well as some optional modules, to be provided according to the competences of each candidate EU Aid Volunteer and the needs of the hosting organisation.
Please note that all costs incurred in relation to the EU on-site training (EU travel, full-board accommodation, and the course itself) will be fully covered.
This mandatory training will take place in September 2019.
Important notice: additional candidates may be shortlisted for a single position and proposed for the EU Aid Volunteers training. This is to ensure that for each position, substitute volunteers may be chosen to replace a candidate in case he or she resigns or is no longer available. Where more than one candidate has been shortlisted for a single position, final selection will take place following the training.
Expected date decision on outcome
Date of training
Apprenticeship Placement
Pre-deployment preparation and induction
Post-deployment activities
Self assessment questionnaire
SAQ_FR
mdm_application_form_fr.docx
Download EuroPass CV
Junior EU Aid Volunteer in Communication, Visibility and Education for Social Change in Senegal
Senior EU Aid Volunteer in Gender in Palestine
Junior EU Aid Volunteer in Advocacy & Communication in Palestine
See more vacancies
Initiative of the European Union, European Civil Protection and Humanitarian Aid Operations department (DG ECHO)
The European Civil Protection and Humanitarian Aid Operations department (DG ECHO) aims to save and preserve life, prevent and alleviate human suffering and safeguard the integrity and dignity of populations affected by natural disasters and man-made crises.
ECHO EU
EACEA EU
European Youth Portal
© Copyright notice: The texts of this website may be reused with attribution to European Union/DG ECHO. Photos credited to European Union/DG ECHO can also be reused provided that they are duly credited. No derivatives allowed without prior permission. Photos credited to partners or other may not be reused.


text:
Book A Tour Today!
Book a virtual tour, on campus tour or schedule a meeting.
Or call directly +971 56 545 8502
Admission Enquiry!
Choose Preference Preference 1 Preference 2 Preference 3 Preference 4
Book a Tour Pay Fees Parents
Mohan Valrani
Founding Governor of Student, Parent and Staff Wellbeing
Mohamed Al Shirawi
Founding Governor for Arabic and Islamic Education
Navin M. Valrani
Founding Governor for Data and Innovation
Giles Pruett
Executive Principal (Ex Officio)
Born in the land of Sindh, Mohan Valrani landed in Dubai in 1966 and 5 years later he partnered with Abdulla Al Shirawi to set up what is today known as the Al Shirawi Group. Under Mohan Valrani's leadership, the Al Shirawi Group has become one of the largest conglomerates in the United Arab Emirates consisting of 34 companies in an array of industries, including Printing & Packaging, Electronics, Logistics, Oil & Gas, Engineering Services, Heavy Equipment and various Steel Processing and Manufacturing Industries.
Today, Mohan Valrani has pursued his passion for education by founding a company to provide K-12 education in the UAE. Under the brand name of Arcadia, Mohan Valrani plans to build a number of schools providing a high quality British education to children within the UAE.
Apart from his business activities, Mohan Valrani is also at the forefront of social activities. He was the founding Chairman and member of the Board of Trustees of the India Club. He is also a member of the Board of Trustees as well as the founding Chairman of the Indian High School, the largest non-profit school in the UAE.
Mohan Valrani is happily married for the last 48 years and has 3 children and 7 grandchildren. He holds a Bachelors Degree in Commerce from Baroda University. He is a generous philanthropist, an avid bridge player, a keen reader and enjoys doing yoga on daily basis.
Mohamed Al Shirawi is a passionate believer in the power of education to change lives. As a father himself, he knows the hopes and aspirations that parents have for their young. "Children are our future and helping them receive the best possible education is the most important gift we can give them," he says. These sentiments underpin his commitment to serving Arcadia school on the Board of Directors and Governance.
A native of Dubai, Mohamed Al Shirawi was educated in the UAE and the USA where he graduated from the University of Southern California in 1980 with a BSc in Industrial and Systems Engineering. Enriched by his student experience and convinced that high standards are the key to success, he returned to Dubai at a pivotal time in its history and also that of the Al Shirawi Group, which was founded in 1971. He joined the Group and applied himself to learning the business at every level and helping it grow with Dubai.
Since 1989, he has served as the head of Emirates Printing Press (EPP) and Lunad Media & Communication, and has been instrumental in the success of both companies. In 2010, under his guidance, EPP won the prestigious title of Sappi International Printer of the Year, and remains the only press in the Middle East to have received that honour.
Currently Deputy Managing Director of Oasis Investment Co LLC, a Group holding company, Mohamed Al Shirawi takes great pride in the achievements of his skilled and dedicated staff. "Take care of your people," he says. "Focus on what is important and success reveals itself."
His own success has inspired him to become a patron of a number of charities, each of which he sees as an opportunity to give back to the society that has supported him.
Founding CEO, BSc (Hons), MBA (Distinction), M.S. Ed
Raised in the city of Dubai, Navin Valrani went on to graduate with honours from the Wharton School of Business and then backed it up with a distinction in his MBA at London Business School and a MSc. in Education at the University of Pennsylvania. Navin is now on course to complete his Doctorate in Education in the summer of 2023.
Navin today is the CEO of Arcadia Education, the Al Shirawi Group's foray into K-12 education. He also heads up the group's engineering services cluster, consisting of 11 companies, 7 Joint Ventures, and over 5000 employees. Navin sits on the board of the group, which also has interests in Printing, Oil and Gas, Logistics, Electronics, Heavy Equipment and Manufacturing Industries.
Navin served as the Chairman of the Young Presidents Organization (YPO) Emirates Chapter during the 2014-15 year, having served over five years on the chapter board. In his spare time he enjoys giving back to his alma maters: presently on the Board of Overseers at the University of Pennsylvania's Graduate School of Education as well as the Wharton Executive Board for Europe, Middle East and Africa; serving as the Chairperson of the UAE Alumni Interviewing Committee for the University of Pennsylvania for the last 25 years; and a member of the International Alumni Council at London Business School from 2013 through to 2018.
In 2014, Navin furthered his commitment to his alma maters by instituting the Monica and Navin Valrani scholarship fund to support female students to attend both schools. Navin was also an integral part of the Campaign Committee at London Business School to successfully raise over £100 million in the school's first ever fund-raising campaign.
Navin has been happily married for the last 23 years and has two sons. His wife, Monica, runs the Ladybird chain of nursery schools in Dubai and has a passion for early years education. Navin also teaches the renowned Junior MBA programme at The Arcadia School, a primary school business program that he founded and is extremely passionate about.
GILES PRUETT , B.Ed. M.A.Ed. (Distinction)
Giles Pruett is an educator through and through. After completing his A-Level studies in the UK, he trained and competed as a professional tennis player for five years until moving back into full-time study to complete his Bachelor of Education at Bedford, reading Geography and Sport Science. He immediately returned to his home city of Bath and subsequently started his teaching career as Director of Rugby, Boarding Housemaster and Geography teacher in the independent community of Prior Park College. After completing a Master's Degree in Educational Leadership and Management at Bath University in 2012, gaining a distinction level, Giles transferred into the international education community, joining Jumeirah College in Dubai as Vice-Principal, where he remained for four years, before becoming Secondary Principal and Deputy Head of School at GEMS World Academy, helping them to become the highest rated full IB programme school in the city.
Giles is also a qualified corporate coach with a specific interest in building impactful professional learning communities by empowering others. He has developed pastoral structures to support learning and development in three previous leadership positions, ensuring that educational outcomes have been met and exceeded. Giles has experienced and driven inspection outcomes as a Senior Leader within several different frameworks, including Ofsted, HMI, CSCI, DSIB, CIS, BSO, COBIS, working as a Lead Reviewer within the GEMS organization and as Lead Evaluator for the Council of International Schools. His core inspection specialisms fall under the domains of teaching and learning, safeguarding, child protection and leadership and management.
Giles brings a wealth of experience in coaching, school operations, pastoral care and strategic school leadership and has been instrumental in developing an Apple Distinguished Teaching Programme, Entrepreneurship and Innovation curriculum alongside the design and construction of a new Senior School Learning Centre and Entrepreneurship Hub. He has a keen interest in this strand of education, recently completing a diploma from the Penn Graduate school of Education.
Above all else, Giles is a committed father to three wonderful girls and a husband to Joanna, who is also an educator and former British Olympic Modern Pentathlete. Together they share a passion for working with children, striving to bring learning to life and making a difference.
Arcadia School brings learning to life with an inclusive culture, latest technology and unique educational programmes.
P.O. Box: 283800, Dubai | Phone: +971 4 552 2600 | Email: info@arcadia.sch.ae
Arcadia © Copyrights 2022 - All rights reserved.
Arcadia Development Board
Letter from Executive Principal
Secondary Campus
FS After School Care Club
National Curriculum for England
Junior MBA
Junior Dukes
Arcadia House System
Apple Distinguished School
Entrepreneurial Leadership
Arabic and Islamic
University and Career Guidance
Inclusion and Exceptional Learners
ASDAN Programme
Callido Learning
Principal Newsletter


This is Mariko who is office administrator of Mr. Yamada.
Please see the attachemnt document that is the presentation file which Mr.Yamadawill speak at international conference on Nov.22.
I'm sorry for sending file late.


Dyslexia is an SpLD (specific learning difficulty) that affects around one in ten individuals in the UK. Due to changes in the Equality Act in 2010, organisations should also be able to demonstrate that they are making reasonable adjustments, to meet the requirements of disability legislation.
Our dyslexia awareness sessions offer an introduction to dyslexia and co-occurring difficulties and include practical suggestions, including a demonstration of the Assistive Technology available, with the aim of breaking down the barriers someone with Dyslexia faces and allowing them to work efficiently and independently in the workplace, Higher Education or on a Modern Apprenticeship.
Our sessions last for a maximum of three hours and cater for groups up to a maximum of ten.
Previous clients include Skills Development Scotland, Strathclyde Fire and Rescue, Police Scotland, NHS and various training providers.


Developer tools advocate, retro language geek, parent of unloved vehicles.
Not currently available for software consulting.
I work at Return to Corporation on static analysis research and tooling. In my spare hours, I care for a snake, a cat, and too many 2-and-4 wheeled problem children in a too-small garage. Live counter for number of reasonably operational vehicles: 1.5. I spend more time photographing or organizing my projects than I do finishing them.
This is my personal site, but if you've found your way here from my work as a software engineer, please enjoy my frequently-cleared blog, my rarely-updated photos, and quality web 1.0 site design. Don't hire me to build your website.


text:
POPULAR SHOWSVIEW ALL »
NEW POPULAR EPISODES VIEW ALL »
The Tonight Show Starring...	S.8, Ep. 68	Nicole Kidman,...	22:30 on NBC
A Discovery of Witches	S.2, Ep. 2	Episode 2	21:00 on Sky1
Magnum P.I.	S.3, Ep. 5	The Day Danger...	21:00 on CBS
RuPaul's Drag Race	S.13, Ep. 3	Phenomenon	20:00 on LOGO TV
MacGyver (2016)	S.5, Ep. 5	Jack + Kinemat...	20:00 on CBS
Shark Tank	S.12, Ep. 10	Slice of Sauce...	20:00 on ABC
NEW SHOWSVIEW ALL »
TODAY POPULAR SHOWS CALENDAR VIEW ALL »
Killer Siblings	S.2, Ep.11: Lunas	6:00 pm on Oxygen
NBC Nightly News	S.9, Ep.16: Jan 16 Sat	6:30 pm on NBC
Casualty	S.35, Ep.3: Episode 3	7:30 pm on BBC one
The Voice UK	S.10, Ep.3: Blind Audition...	8:00 pm on BBC one
Michael McIntyre's The W...	S.1, Ep.8: Episode 8	8:30 pm on BBC One
Kindred Spirits	S.5, Ep.3: False Witness	9:00 pm on TLC
One Deadly Mistake	S.1, Ep.1: TBA	9:00 pm on Oxygen
BBC Weekend News	S.68, Ep.5: 16th January 2...	10:00 pm on BBC one
Match of The Day	S.57, Ep.23: MOTD - 16th Ja...	10:30 pm on BBC one
The Tonight Show Starr...	S.8, Ep.68: Nicole Kidman,...	22:30 on NBC
A Discovery of Witches	S.2, Ep.2: Episode 2	21:00 on Sky1
Magnum P.I.	S.3, Ep.5: The Day Danger...	21:00 on CBS
RuPaul's Drag Race	S.13, Ep.3: Phenomenon	20:00 on LOGO TV
MacGyver (2016)	S.5, Ep.5: Jack + Kinemat...	20:00 on CBS
Shark Tank	S.12, Ep.10: Slice of Sauce...	20:00 on ABC
Whose Line Is It Anywa...	S.17, Ep.2: Gary Anthony W...	20:00 on CW
Servant	S.2, Ep.1: Doll	0:00 on Apple TV+
Dickinson	S.2, Ep.4: The Daisy foll...	0:00 on Apple TV+
The Tonight Show Starr...	S.8, Ep.67: Anthony Mackie...	22:30 on NBC
LATEST REVIEWS VIEW ALL »
RuPaul's Drag Ra...: S.13, Ep.3
Herstory is repeating itself on RuPaul's Drag Race Season 13 Episode 3. Just like the li... more
The Daisy follows soft the Sun
Dickinson: S.2, Ep.4
Writer's block is a b*tch. It happens to everyone from time to time, but usually, if you... more
Superstore: S.6, Ep.5
Superstore is back from hiatus with a critical episode that proves once again that the show ... more
LATEST NEWS VIEW ALL »
What to watch tonight - Saturday...
Tags: more
What to watch tonight - Friday, ...
What to watch on Friday, Jan 15, 2021 8:00pm	8:00pm, CBS	... more
What to watch tonight - Thursday...
What to watch on Thursday, Jan 14, 2021 8:00pm	8:00pm, FO... more
Tuesday 22:00 on MTV
5 Seasons, 100 Episodes
Genre: Family / Musical / Teens /
"Awkward" takes an irreverent look at the conflict, chaos and humor that defines teenage life through the eyes of 15-year-old Jenna Hamilton (Ashley Rickards) whose life begins to change when a simple accident becomes an epic misunderstanding and is blown way out of proportion. Narrated in the first-person voice of Jenna's blog posts, "Awkward." captures the humor within the s more
...truggles and experiences everyone can relate to from their formative years. The series picks up in the aftermath of the accident as she must deal with a new not-so-fun stigma, while at the same time managing the other daily drama that comes with being a teenager. From a secret relationship with a popular guy, to being undermined by a mean girl, and parents who just don't get it-Jenna's misfortune will eventually serve as the catalyst for amazing change, but it's not without some missteps and mishaps along the way.
out of 10 0.5
By Writers
By TVBuzers' Users
Cast & Crew (425)
Recaps & Reviews (67)
Fan Comments (1)
LATEST EPISODE: SEASON 5, EPISODE 24: Happy Campers. Happier Trails
SEASON 5, EPISODE 24: Happy Campers. Happier Trails
Aired: May 24,2016
Jenna has to choose between an important SCU event and her camp reunion, which leads to a much bigger decision: Luke or Matty.... more
WATCH ONLINE:
Season 5 : Episode 24 Happy Campers. Happier Trails Aired 05/24/16
Apple iTunes Buy $ Amazon Video Buy $
Watched Episode
Season 5 : Episode 23 Second Chances Aired 05/24/16
Season 5 : Episode 22 Home Again, Home Again Aired 05/17/16
Season 5 : Episode 21 Living in Sin Aired 05/10/16
Season 5 : Episode 20 Misadventures in Babysitting Aired 05/03/16
Season 5 : Episode 19 Girls Gone Viral Aired 04/26/16
Season 5 : Episode 18 Digging Deep Aired 04/19/16
Season 5 : Episode 17 Fireworks Aired 04/12/16
SEE FULL EPISODES GUIDE
Jenna and Matty have got to be the most unappealing couple on television. Yes, Awkward Season 5 Episode 22 got us one step closer to the finish line, but it also continued to lay the groundwork for a reunion between the couple who have been at the core of the show since the beginning. The thing is, I really don't give a damn about them as a couple. I'd love to hear about what y'all think because I'm just not feeling Jatty any more. I'm over the back and...	more
Living in Sin
Will Luke forgive Jenna? On Awkward Season 5 Episode 21, everything was great for them, but then Jenna had to go and blab about their whole relationship in the form of a new article for Idea Bin. It's obvious that Jenna wanted to let Luke know just how much he meant to her, but in the process she may have ruined his chances at Idea Bin. It's almost like she's trying to tell herself she's moved on from Matty, so she tried to make herself believe it more by ...	more
Misadventures in Babysitting
Jenna isn't the best with kids. That much we learnt on Awkward Season 5 Episode 20 as she was tasked with looking after Morgan, but she didn't know how to pull it off. That's where Matty comes into it. He's totally great with kids and the writers used this as a ploy to try and get us excited again for Jatty, but it didn't quite work out like that. The two of them will never work together. They obviously don't love one another as much as we...	more
MTV Announce The Ultimate Crossover with Awkward, Faking It and Girl Code
MTV are presenting a special episode of 'Girl Code' on Tuesday, November 25 at 11.00pm ET/PT. Cast member's of both 'Awkward' and 'Faking It' will appear on the show, as well as girl group Fifth Harmony. Ashley Rickards, Beau Mirchoff, Brett Davern, Molly Tarlov, Jillian Rose Reed and Greer Grammer from more
MTV Orders Zach Braff Directed Dark Comedy Pilot
MTV has put in an order for a new pilot to be directed by none other than Zach Braff . 'Self Promotion,' a dark comedy, is about an overworked assistant named Kate Preston who takes things a little too far when she finds out that her horrible boss has gone missing. Katie, who thinks she would be the cops' prime suspect, covers up the crime scene and decides to not only find out what happened but totake over her boss' job in the meantime. The script will be penned by ...	more
Canceled Cable? What You Should Be Streaming This Fall
Who needs cable when you can just stream? Instead of waiting for each episode each week, why not try a show that has a few 100 episodes behind it? Or one that's already finished? Hollywood is pushing out more TV shows than ever onto streaming sites so you can enjoy a few sleepless binge sessions. So cut the cord. Here's what you can watch whenever you want. 1. The Good Wife Legal shows aren't supposed to be this good. CBS shows aren'...	more
Season 5, Episode 24: Happy Campers. Happier Trails...
Season 5, Episode 23: Second Chances...
Season 5, Episode 22: Home Again, Home Again...
Season 5, Episode 21: Living in Sin...
Awkward FAN COMMENTS (1)
Please post the message in English, otherwise your message will be deleted!
Teena, posted Jul 15, 2015
I love this show, considering it's a bit exaggerated for entertainment, it's still true to what it's like to be a high school student. I think anyone can relate, no matter what their age (I'm 30 years old and I can). Some things people obviously wouldn't relate to, others would have an even more extreme life experience from their time in high school. The best thing is, they took each season (for the most part) and made it equal to a year in school. I love that they did this, it means the show might not last as long, but it makes more sense for the viewers, and it also keeps the show real because they don't have 30 year old actors playing sophomores in high school. I get that a lot of actors can and do look that young, but if you know their age in real life it makes it seem far fetched. Overall 9/10. I can't wait for the new season!
Tweets from Awkward
MORE INFO ABOUT Awkward
Airs: Tuesday 22:00 on MTV
Network: MTV (US)
Premiere: July 19, 2011
Genre: Family / Musical / Teens / Romance / Mini-Series / Drama / Comedy
Olympus is a mythological drama series which will take viewers into the action-packed world of humans, Gods and ...
Episode Guide | Watch Online
Brooke, a former professional dancer, and her aspiring actor brother try to find their place in the world while ...
An anthology series of stand alone episodes delving into horror myths, legends and lore.
A competition series that teams 10 expert survivalists with pampered partners to face the toughest challenges of...
zdotgirl
User Score: 2025
Adept (Level 53)
goga.dr
Skilled (Level 37)
hetherston
Competent (Level 28)
tokyoes@aol.com
therossbrooks
maliano
User Score: 800
J-O-S-E
Beginner (Level 17)
nudelmaster
Ollivander 15
wren153
Talented (Level 43)
gabitza
hazel2046
Ali.Shehab
boahb
di.rockt
© TVBuzer. All rights reserved | Add News | TVBuzer Tokens & Gain Levels | Contact | Legal Content Material | API
Use of this website constitutes acceptance of the TVBuzer Privacy Policy and Terms of Use
Design by Art Dynasty


In this course we will learn about plants and people! We will spend a couple weeks learning about the importance and diversity of the plant kingdom. And of course, since plants are edible, we will do some activities that involve eating! Then we will learn about the structure and function of all the parts of the human body. In this part of the class, you'll learn about YOU! We'll start with a discussion of cells and genetics, and then we'll dive deep into the systems of the human body, learning how they function and how they work together to keep you moving and processing the world around you.
A typical Life Science 2 – Botany and Human Biology week will begin with a live class on Monday at 1 pm. The live classes are usually game-based reviews of topics from the previous week and often an introduction to the coming week. Although it is always best if students attend the live classes, I will post the recording of the class so that students who can't attend can watch later. Lessons will be posted Tuesday through Friday, and will consist of teacher-created online instruction. I use a lot of audio and video recordings to help students learn the correct pronunciation of new terms as well as to explain new concepts. Since this course can be used as ½ credit of life science, a few additional writing assignments and projects will be given to students in grades 7 through 9.
Life Science 2 – Botany and Human Biology is for curious students in grades 6–9 who have a strong desire to understand how plants function in the environment and how they give us not just food, but oxygen, as well as how their bodies function and stay healthy. When combined with Life Science, Part 2 – Botany and Human Biology, these courses, which both include a lab component, will provide one high school science credit. Fifth graders will be considered with prior instructor approval.
I welcome any and all communication from parents. I want to partner with you in your student's education, so if at any time you have questions or concerns, my virtual door is open. I will send monthly progress reports to let you know how your student is doing in Life Science.
There are no required texts for this class.
Some supplies will be needed for experiments and activities. These will all be inexpensive things that are found in most kitchens or available at most supermarkets. Estimated cost is between $25 and $50.


Golden Egg Animal Husbandry Co., Ltd. is located in the Central Plains, Zhengzhou City, Henan Province. Our company is a combination of R&D, production and sales as one of the high-tech enterprises. We are specialized in Chicken farm equipment and major exporter in China. We can provide you with Layer Chicken A & H cages, automatic feeding and drinking equipment, environmental control equipment, Manure removal system, Chicken House Air Cooler Poultry Farming Cooling Fan and any other products that you would need on raising chicken.
China Farming port Chicken Farm Cooling Fan for Poultry Houses, Find details about China cooling fan, cooling fan for poultry houses from Farming port Chicken Farm Cooling Fan for Poultry Houses - Qingdao Farming Port Animal Husbandry Machinery Co., Ltd.
Evaporative Cooling Systems: How and pads at one end of the house and large tunnel exhaust fans at in humidity of the now cooler air inside the house.
Korea chicken farm use climate control equipment poultry house evaporative cooling pad, Zhengzhou Golden Egg Animal Husbandry Co., Ltd is one of the largest automated animal husbandry breeding equipment manufacturing enterprises in China, Establish in 1998.
Poultry Evaporative Cooling Pad For Chicken Cellulose For Air Cooler Evaporation Panel Chicken House Evaporative Cooling Pad For Poultry Farming/Chicken house.
A Verified CN Gold Supplier on Alibaba +Air Circulation Fan +Evaporative Air Cooler Cellulose Evaporative Cooling Pad For Poultry Farming/Chicken house.
Cool Pad, Ventilation System, Air Conditioner manufacturer / supplier in China, offering Jinlong Evaporative Cooling Pad Chicken House Cooling Equipment, High Speed Poultry House Ventilation Fan Price, Mini Centrifugal Fan, Qingzhou Factory Small Industrial Fan Cheap, Industrial Centrifugal Fan and so on.
Farming port Chicken Farm Cooling Fan for Poultry Houses Ventilation Fan for Poultry Farming House Exhaust Fan, Greenhouse, Cooling Pad, Air Cooler.
Poultry Equipment, Agricultural Machinery, Centrifugal Fan manufacturer / supplier in China, offering Cooling Pads in Poultry Farming House From Super Herdsman, Poultry Equipment with Chicken Hover, Automatic Poultry Feeding Equipment of Silo and so on.


An eclectic mix of modern statement beachwear, the women's swimwear collection at TheHut is one to be admired. Be bold with colour, or experiment with texture and patterns with our lovely range of bikini's and swimming costumes from MINKPINK, Tommy Hilfiger, Bec & Bridge and more. If you can't decide what style is best for your figure, why not head over the The Hut Blog to check out our stylist's recommendations?