text:
\section{Introduction}

Miniaturization \cite{Linden2010} and technological advancements to
handle and control systems at smaller and smaller scales necessitate
the deeper understanding of concepts such as quantum coherence,
entanglement and correlations
\cite{Aspuru13,Horodecki2013,Skrzypczyk2014,Narasimhachar2015,Brandao2015,Rudolph214,Rudolph114,Plenio2008,Aspuru2009,Lloyd2011,Huelga13,Levi14}.
Two inequivalent resource theories of coherence has been proposed
\cite{Gour2008, Marvian14, Baumgratz2014} realizing the importance
of the coherence as a resource in various physical situations.
Recently, it has been proved that the coherence of a random pure
state sampled from the uniform Haar measure is generic  for higher
dimensional systems, i.e., most of the random pure states have
almost the same amount of coherence \cite{UttamB2015}. The
importance of this result and the similar results for entanglement
of random bipartite pure states cannot be overemphasized. The
average entanglement of random bipartite pure states, which is
facilitated by the calculation of average entropy of the marginals
of the random bipartite pure states
\cite{Page1993,Foong1994,Jorge1995, Sen1996}, is proved typical
\cite{Hayden2006}. This has resulted in various interesting
consequences in quantum information theory
\cite{Hayden2006,Hamma2012,Dahlsten2014,ZhangB2015,Nakata2015}, in
the context of black holes \cite{PageB1993} and in particular, in
explaining the {\it equal a priori probability} postulate of
statistical physics \cite{Popescu2006,Goldstein2006}. But as we
approach towards the realistic implementations of quantum
technology, mixed states are encountered naturally due to the
interaction between the system of interest and the external world.
Therefore, consideration of average entanglement and coherence
content of random mixed states is of great importance in realistic
scenarios. However, to the best of our knowledge, there is no known
result on the average coherence of random mixed states.

Here, we aim at finding the average relative entropy of coherence of
random mixed states sampled from various induced measures including
the one obtained via the partial tracing of the Haar distributed
random bipartite pure states. We first find the exact expression for
the average subentropy of random mixed states sampled from induced
probability measures and use it to find the average relative entropy
of coherence of random mixed states. We note that the subentropy is
a nonlinear function of state and therefore, it is expected that the
average subentropy of a random mixed state should not be equal to
the subentropy of the average state (the maximally mixed state).
Surprisingly, we find that the average subentropy of a random mixed
state approaches exponentially fast towards the maximum value of the
subentropy, which is achieved for the maximally mixed state
\cite{JozsaB1994}. As one of the applications of our results, we
note that the average subentropy may also serve as the state
independent quality factor for ensembles of states to be used for
estimating accessible information. Interestingly, we find that the
average coherence of random mixed states, just like the average
coherence of random pure states, shows the concentration phenomenon.
This means that the relative  entropies of coherence of most of the
random mixed states are equal to some fixed number (within an
arbitrarily small error) for larger Hilbert space dimensions. It is
well known that the exact computation of the most of the
entanglement measures for bipartite mixed states in higher
dimensions is almost impossible \cite{HorodeckiRMP09}. However,
using our results, we compute the average relative entropy of
entanglement and distillable entanglement for a specific class of
random bipartite mixed states and show their typicality for larger
Hilbert space dimensions. It means that for almost all random states
of this specific class, both the measures of entanglement are equal
to a fixed number (that we calculate) within an arbitrarily small
error, reducing hugely the computational complexity of both the
measures for this specific class of bipartite mixed states. This is
a very important practical application of the results obtained in
this paper.

\section{Quantum coherence and induced measures on the space of mixed states}\label{sec:rand-state}

\subsection{Quantum coherence}

Various coherence monotones, that serve as the faithful measures of
coherence \cite{Baumgratz2014, Alex15, Winter2015, UttamA2015}, are
proposed based on the resource theory of coherence
\cite{Baumgratz2014}. These monotones include the $l_1$ norm of
coherence, relative entropy of coherence \cite{Baumgratz2014} and
the geometric measure of coherence based on entanglement
\cite{Alex15}. In this work, unless stated otherwise, by coherence
we mean the relative entropy of coherence throughout the paper. The
relative entropy of coherence of a quantum state $\rho$, acting on
an $m$-dimensional Hilbert space, is defined as
\cite{Baumgratz2014}: $\sC_r(\rho) := S(\Pi(\rho)) - S(\rho)$, where
$\Pi(\rho)=\sum^m_{j=1}\proj{j}\rho\proj{j}$ for a fixed basis
$\set{\ket{j}:j=1,\ldots,m}$. $S(\rho) = -\Tr{\rho\ln\rho}$ is the
von Neumann entropy of $\rho$. All the logarithms that appear in the
paper are with respect to natural base.

\subsection{Induced measures on the space of mixed states}

Unlike on the set of pure states, it is known that there exist
several inequivalent measures on the set of density matrices,
$\density{\mathbb{C}^m}$ (the set of trace one nonnegative $m\times m$
matrices). By the spectral decomposition theorem for Hermitian
matrices, any density matrix $\rho$ can be diagonalized by a unitary
$U$. It seems natural to assume that the distributions of
eigenvalues and eigenvectors of $\rho$ are independent, implying
$\mu$ to be product measure $\nu\times\mu_{\mathrm{Haar}}$, where
the measure $\mu_{\mathrm{Haar}}$ is the unique Haar measure on the
unitary group and measure $\nu$ defines the distribution of
eigenvalues but there is no unique choice for it
\cite{Zyczkowski2001, Zyczkowski2003}.

The induced measures on the $(m^2-1)$-dimensional space
$\density{\mathbb{C}^m}$ can be obtained by partial tracing the
purifications $\ket{\Psi}$ in the larger composite Hilbert space of
dimension $mn$ and choosing the purified states according to the
unique measure on it. Following Ref. \cite{Zyczkowski2001}, the
joint density $P_{m(n)}(\Lambda)$ of eigenvalues
$\Lambda=\set{\lambda_1,\ldots,\lambda_m}$ of $\rho$, obtained via
partial tracing, is given by
\begin{eqnarray}
P_{m(n)}(\Lambda) =
C_{m(n)}K_1(\Lambda)\prod^m_{j=1}\lambda^{n-m}_j\theta(\lambda_j),
\end{eqnarray}
where the theta function $\theta(\lambda_j)$ ensures that $\rho$ is
positive definite, $C_{m(n)}$ is the normalization constant and
$K_1(\Lambda)$ is given by
\begin{eqnarray}\label{eq:k-lambda}
K_\gamma(\Lambda) =
\delta\Pa{1-\sum^m_{j=1}\lambda_j}\abs{\Delta(\lambda)}^{2\gamma},
\end{eqnarray}
for $\gamma=1$ with $\Delta(\lambda)=\prod_{1\leqslant i<j\leqslant
m}(\lambda_i-\lambda_j)$. See Refs.
\cite{Zyczkowski2001,Zyczkowski2003} for a good exposition of
induced measures on the set of density matrices.

Now we introduce the family of integrals $\cI_m(\alpha,\gamma)$ that will be a key to our work, where
\begin{eqnarray}\label{eq:alpha-beta}
\cI_m(\alpha,\gamma)&:=& \int^\infty_0\cdots\int^\infty_0 K_\gamma(\Lambda)\prod^m_{j=1}\lambda^{\alpha-1}_j\mathrm{d}\lambda_j\nonumber\\
&=&b_m(\alpha,\gamma)\prod^m_{j=1}\frac{\Gamma\Pa{\alpha+\gamma(j-1)}\Gamma\Pa{1+\gamma
j}}{\Gamma\Pa{1+\gamma}},
\end{eqnarray}
with $\alpha,\gamma>0$, $\Gamma(z):=\int^\infty_0 t^{z-1}e^{-t}\mathrm{d}
t$ is the Gamma function, defined for $\mathrm{Re}(z)>0$ and
$b_m(\alpha,\gamma)=\set{\Gamma\Pa{\alpha m+\gamma m(m-1)}}^{-1}$.
The value of above family of integrals can be obtained using
Selberg's integrals \cite{Zyczkowski2001, Zyczkowski2003,
Andrews1999} (see Appendix~\ref{subsect:sellberg-integral} for a
quick review of Selberg's integrals). Let us define
$C^{(\alpha,\gamma)}_m=1/{\cI_m(\alpha,\gamma)}$, which are called
as normalization constants. A family of probability measures over
$\mathbb{R}^m_+$ can be defined as:
\begin{eqnarray}
\mathrm{d}\nu_{\alpha,\gamma} (\Lambda) := C^{(\alpha,\gamma)}_m
K_\gamma(\Lambda)\prod^m_{j=1}\lambda^{\alpha-1}_j \mathrm{d}\lambda_j.
\end{eqnarray}
Also, $\nu_{\alpha,\gamma}$ is a family of normalized probability
measures over the probability simplex
$$
\Delta_{m-1}:=
\Set{\Lambda=(\lambda_1,\ldots,\lambda_m)\in\mathbb{R}^m_+:\sum^m_{j=1}\lambda_j=1},
$$
i.e.,
\begin{eqnarray*}
\nu_{\alpha,\gamma}\Pa{\Delta_{m-1}} = \int \mathrm{d}\nu_{\alpha,\gamma}(\Lambda)=1.
\end{eqnarray*}
Now a family of probability measures $\mu_{\alpha,\gamma}$ over the
set $\density{\mathbb{C}^m}$ of all $m\times m$ density matrices on
$\mathbb{C}^m$ can be obtained via spectral decomposition of
$\rho\in\density{\mathbb{C}^m}$ with $\rho=U\Lambda U^\dagger$ as
follows
\begin{eqnarray}\label{eq:alpha-gamma}
\mathrm{d}\mu_{\alpha,\gamma}(\rho) =
\mathrm{d}\nu_{\alpha,\gamma}(\Lambda)\times \mathrm{d}\mu_{\mathrm{Haar}}(U),
\end{eqnarray}
where
$\mathrm{d}\nu_{\alpha,\gamma}(\Lambda)=\mathrm{d}\nu_{\alpha,\gamma}(\lambda_1,\ldots,\lambda_m)$
and $\mu_{\mathrm{Haar}}$ is the normalized uniform Haar measure. By
definition, $\mu_{\alpha,\gamma}$ is a normalized probability
measure over $\density{\mathbb{C}^m}$. In the following, we will use
this family of probability measures to calculate the average
subentropy and average coherence of randomly chosen quantum states.

\section{The average subentropy of a random mixed state}\label{sec:subentropy}

Let us consider $m$ dimensional random density matrices $\rho$
sampled according to the family of product measures
$\mu_{\alpha,\gamma}$, such that $\mathrm{d}\mu_{\alpha,\gamma}(\rho) =
\mathrm{d}\nu_{\alpha,\gamma}(\Lambda)\times \mathrm{d}\mu_{\mathrm{Haar}}(U)$.
The subentropy of a state $\rho$ with the spectrum $\Lambda =
\set{\lambda_1,\cdots, \lambda_m}$ can be written as
\cite{JozsaB1994,Harremoes2001,Mintert2004,Datta2014} (see also
Appendix~\ref{subsect:subentropy-related})
\begin{eqnarray} \label{eq:sub1}
Q(\Lambda)&=&(-1)^{\frac{m(m-1)}2-1}\frac{\sum^m_{i=1}\lambda^m_i\ln\lambda_i\prod_{j\in\widehat
i}\phi'(\lambda_j)}{\abs{\Delta(\lambda)}^2},
\end{eqnarray}
where $\widehat i=\set{1,\ldots,m}\backslash\set{i}$,
$\phi'(\lambda_j)=\prod_{k\in\widehat j}(\lambda_j-\lambda_k)$ and
$\abs{\Delta(\lambda)}^2= \abs{\prod_{1\leqslant i<j\leqslant
m}(\lambda_i-\lambda_j)}^2$.

Subentropy of a quantum state is a quantity that arises in quantum
information theory. It is shown that subentropy provides a tight
lower bound on the accessible information for pure state ensembles
\cite{JozsaB1994}, dual to the fact that von Neumann entropy is an
upper bound in Holevo's theorem. More recently, the notion of
subentropy is generalized to its R\'{e}nyi variant
\cite{Mintert2004} and R\'{e}nyi variant of the subentropy of the
mixed state obtained by partial trace of the bipartite pure state is
interpreted as the excess of the Wehrl entropy since they are shown
to be equal. Interestingly, Mintert and \.{Z}yczkowski use these
quantities to investigate entanglement since they find that the
subentropy and the generalized R\'{e}nyi subentropies are Schur
concave, they are indeed entanglement monotones and can be used as
alternative measures of entanglement. For the convenience, we list
the properties of subentropy in the
Appendix~\ref{subsect:subentropy-related}.

The average subentropy over the set of mixed states is given by
\begin{eqnarray}
\cI^Q_m(\alpha,\gamma)=\int\mathrm{d}\mu_{\alpha,\gamma}(\rho)Q(\rho)
=\int\mathrm{d}\nu_{\alpha,\gamma}(\Lambda)Q(\Lambda).
\end{eqnarray}
Apparently $0\leqslant\cI^Q_m(\alpha,\gamma)\leqslant
1-\gamma_{\mathrm{Euler}}$ since the subentropy is uniformly
bounded, i.e., $0\leqslant Q(\Lambda)\leqslant
1-\gamma_{\mathrm{Euler}}$, where
$\gamma_{\mathrm{Euler}}\approx0.57722$ is Euler's constant.

\begin{prop}\label{prop1}
For $\gamma=1$ and arbitrary $\alpha$, the average
subentropy $\cI^Q_m(\alpha,1)$ is given by
\begin{eqnarray}\label{eq:gen-sub}
\cI^Q_m(\alpha,1)=\frac1{m(m+\alpha-1)}
\sum^{m-1}_{k=0} g_{mk}(\alpha) u_{mk}(\alpha),
\end{eqnarray}
where
\begin{eqnarray}
g_{mk}(\alpha)&=&\psi(m(m+\alpha-1)+1)-\psi(2(m-1)+\alpha+1-k),\label{eq:g}\\
u_{mk}(\alpha)&=&\frac{(-1)^k\Gamma(2(m-1)+\alpha+1-k)}{\Gamma(k+1)\Gamma(m-k)\Gamma(m+\alpha-1-k)},\label{eq:u}
\end{eqnarray}
with $\psi(z)=\mathrm{d} \ln \Gamma(z)/\mathrm{d} z$ being the digamma function.
\end{prop}

\begin{proof}
See Appendix~\ref{subsect:proposition-proof}.
\end{proof}

In the remaining, we consider the \emph{induced measure}
$\mu_{m(n)}(m\leqslant n)$ over all the $m\times m$ density matrices
of the $m$-dimensional quantum system via partial tracing over the
$n$-dimensional ancilla of uniformly Haar-distributed random
bipartite pure states of system and ancilla, which is as follows:
for $\rho=U\Lambda U^\dagger$ with
$\Lambda=\mathrm{diag}(\lambda_1,\ldots,\lambda_m)$ and
$U\in\mathrm{U}}\def\rV{\mathrm{V}}\def\rW{\mathrm{W}}\def\rX{\mathrm{X}}\def\rY{\mathrm{Y}(m)$,
\begin{eqnarray}\label{eq:m-n1}
\mathrm{d}\mu_{m(n)}(\rho) =
\mathrm{d} \nu_{m(n)}(\Lambda)\times \mathrm{d}\mu_{\mathrm{Haar}}(U),
\end{eqnarray}
where $\mathrm{d}\nu_{m(n)}(\Lambda) = C_{m(n)}
K_1(\Lambda)\prod^m_{j=1}\lambda^{n-m}_j\mathrm{d} \lambda_j$
\cite{Zyczkowski2001} is the joint distribution of eigenvalues
$\Lambda=\mathrm{diag}(\lambda_1,\ldots,\lambda_m)$ of the density matrix
$\rho$, and $\mathrm{d}\mu_{\mathrm{Haar}}(U)$ is the uniform Haar measure
over unitary group $\mathrm{U}}\def\rV{\mathrm{V}}\def\rW{\mathrm{W}}\def\rX{\mathrm{X}}\def\rY{\mathrm{Y}(m)$. Apparently Eq.~\eqref{eq:m-n1} is a
special case of Eq.~\eqref{eq:alpha-gamma} when
$(\alpha,\gamma)=(n-m+1,1)$. That is,
$\mathrm{d}\mu_{m(n)}(\rho)=\mathrm{d}\mu_{n-m+1,1}(\rho)$ and
$\mathrm{d}\nu_{m(n)}(\Lambda)=\mathrm{d}\nu_{n-m+1,1}(\Lambda)$. From this, we
see that
\begin{eqnarray}\label{eq:sp-coh}
\cI^Q_m(n-m+1,1)=\frac1{mn}\sum^{m-1}_{k=0}g_{mk}(n-m+1)
u_{mk}(n-m+1).
\end{eqnarray}
In fact, we find a closed-formula for the average subentropy:

\begin{lem}[Closed-form of the average subentropy]\label{lem:average-subentropy}
The average subentropy of random mixed quantum states, induced by
partial tracing the Haar-distributed random pure bipartite states in
the Hilbert space of dimension $m\otimes n$ with $m\leqslant n$, is
given by the following compact formula:
\begin{eqnarray}\label{eq:ave-subentropy}
\cI^Q_m(n-m+1,1)= 1+H_{mn}-H_m-H_n.
\end{eqnarray}
\end{lem}

\begin{proof}
See Appendix~\ref{subsect:Lemma-proof}.
\end{proof}

The above expression can be rewritten as
$\cI^Q_m(n-m+1,1)=(1-\gamma_{\mathrm{Euler}})-(a_m+a_n-a_{mn})$,
where $a_k=H_k-\ln k-\gamma_{\mathrm{Euler}}$ for $k=m,n$. Since the
number series $\set{a_k}$ is monotone decreasing and approaches to
zero, it follows that $a_m+a_n-a_{mn}\geqslant0$ and
$\lim_{m\to\infty}(a_m+a_n-a_{mn})=0$ (note that $m\leqslant n$).
Based on this fact, we get that
\begin{eqnarray}
\lim_{m\to\infty}\cI^Q_m(n-m+1,1) =
1-\gamma_{\mathrm{Euler}}\approx0.42278.
\end{eqnarray}
If $m=n$, this situation corresponds to the probability measure
induced by the Hilbert-Schmidt distance \cite{Zyczkowski2001}, then
\begin{eqnarray} \label{eq:av-sub}
\cI^Q_m(1,1) =\frac1{m^2}\sum^{m-1}_{k=0}g_{mk}(1)
u_{mk}(1)=1+H_{m^2}-2H_m.
\end{eqnarray}

We find that it approaches exponentially fast towards the maximum
value of the subentropy, which is achieved for the maximally mixed
state \cite{JozsaB1994}. The maximum value of $Q(\rho)$ is
approximately equal to $0.42278$ \cite{JozsaB1994}. This is
surprising, since $Q(\rho)$ is a nonlinear function of $\rho$ and it
is not expected that the average subentropy should match with the
subentropy of the average state, which is the maximally mixed state.

\section{The average coherence of random mixed states and typicality}\label{sec:avg-coh}

Now, we are in a position to calculate the average coherence of
random mixed states and establish its typicality. Let $\rho =
U\Lambda U^\dagger$ be a mixed full-ranked quantum state on
$\mathbb{C}^m$ with non-degenerate positive spectra
$\lambda_j\in\mathbb{R}^+(j=1,\ldots,m)$, where $\Lambda =
\mathrm{diag}(\lambda_1,\ldots,\lambda_m)$. Then coherence of the state
$\rho$ is given by $\sC_r(U\Lambda U^\dagger)= S(\Pi(U\Lambda
U^\dagger)) - S(\Lambda)$. The average coherence of the isospectral
density matrices can be expressed in terms of the quantum
subentropy, von Neumann entropy, and $m$-Harmonic number as follows
\cite{Cheng2015}:
\begin{eqnarray}
\overline{\sC}_r^{\mathrm{iso}}(\Lambda)&:=&\int\mathrm{d}\mu_{\mathrm{Haar}}(U)\sC_r(U\Lambda
U^\dagger)= H_m - 1 + Q(\Lambda)  - S(\Lambda).
\end{eqnarray}
Here $Q(\Lambda)$ is the subentropy, given by Eq. (\ref{eq:sub1}),
$S(\Lambda)$ is the von Neumann entropy of $\Lambda$ and $H_m =
\sum_{k=1}^{m} 1/k$ is the $m$-Harmonic number. From this, we see
that the average coherence of isospectral full-ranked density
matrices depends completely on the spectrum. Also, it is known that
$0\leqslant Q(\Lambda)\leqslant 1-\gamma_{\mathrm{Euler}}$. Now,
using the product probability measures
$\mathrm{d}\mu_{\alpha,\gamma}=\mathrm{d}\nu_{\alpha,\gamma} \times
\mu_{\mathrm{Haar}}(U)$, the average  coherence of random mixed
states is given by
\begin{eqnarray}\label{eq:def-gen-coh}
\overline{\sC_r}(\alpha,\gamma)&:=&\int\mathrm{d}\mu_{\alpha,\gamma}(\rho)\sC_r(\rho)
= \int\mathrm{d}\mu_{\alpha,\gamma}(U\Lambda U^\dagger)\sC_r(U\Lambda U^\dagger)\nonumber\\
&=& H_m-1 +\cI^Q_m(\alpha,\gamma) - \cI^S_m(\alpha,\gamma),
\end{eqnarray}
where
$\cI^Q_m(\alpha,\gamma)=\int\mathrm{d}\nu_{\alpha,\gamma}(\Lambda)Q(\Lambda)$
and
$\cI^S_m(\alpha,\gamma)=\int\mathrm{d}\nu_{\alpha,\gamma}(\Lambda)S(\Lambda)$.
In the remaining, we again consider the \emph{induced measure}
$\mu_{m(n)}(m\leqslant n)$ over all the $m\times m$ density matrices
of the $m$-dimensional quantum system via partial tracing over the
$n$-dimensional ancilla of uniformly Haar-distributed random pure
bipartite states of system and ancilla.

\begin{thrm}[Closed-form of the average coherence]\label{thm:gen-coh}
The average coherence of random mixed states of dimension $m$
sampled from induced measures obtained via partial tracing of Haar
distributed bipartite pure states of dimension $mn$, for
$(\alpha,\gamma)=(n-m+1,1)$, is given by
\begin{eqnarray}\label{eq:generic-formula}
\overline{\sC_r}(n-m+1,1) =\frac{m-1}{2n}.
\end{eqnarray}
\end{thrm}

\begin{proof}
See Appendix~\ref{subsect:theorem-proof-coherence}.
\end{proof}

For $m=n$, which corresponds to the probability measure induced by
the Hilbert-Schmidt distance, the average coherence of random mixed
states is given by
\begin{eqnarray}\label{eq:HS1}
\overline{\sC_r}(1,1) = \frac{m-1}{2m}\to\frac12 \quad(m\to\infty).
\end{eqnarray}
The asymptotic value $\frac12$ of the average coherence is also
obtained by Pucha{\l}a \emph{et al.} \cite{Puchala2016} using free
probabilistic tools. However, free probabilistic theory can only be
used to deal with asymptotic situation. Therefore, the case where
$m\neq n$ cannot be treated by such a method. Thus their result
about average coherence is just an asymptotic value of a special
case of our formula \eqref{eq:generic-formula}. Clearly this formula
is completely exact, not asymptotically, and very simple.

From this formula, we see that for fixed $m$, the dimension of
quantum system under consideration, when $n$, the dimension of
ambient environment, is larger, the average coherence is
approximately vanishing. In fact, we have calculated the average
coherence of random pure quantum states and also established its
typicality \cite{UttamB2015}. The average coherence of random pure
quantum states in $m$-dimensional Hilbert space is given by $H_m-1$.
Thus
$$
\frac{m-1}{2m}<\frac12\ll H_m-1\to \infty.
$$
In view of this, statistically, in $m$-dimensional Hilbert space,
mixed quantum states is less useful than pure quantum states in
higher dimension when we extract quantum coherence, as a resource,
from quantum states.

Now, just like in the case of random pure states where the average coherence is a generic property of all random pure states \cite{UttamB2015}, one may ask if the
average coherence of random mixed states is also a generic property of all random mixed states. The following theorem (Theorem \ref{th:con-ent}) establishes that the
average coherence is indeed a generic property of all random mixed states, i.e., as we increase the dimension of the density matrix, almost all the density matrices generated randomly have coherence approximately equal to the average relative entropy of coherence, given by Theorem \ref{thm:gen-coh}. Thus, the average coherence of a random mixed state can be viewed as the typical coherence content of random mixed states.
\begin{thrm}\label{th:con-ent}
Let $\rho_A$ be a random mixed state on an $m$
dimensional Hilbert space $\mathcal{H}$ with $m\geqslant 3$
generated via partial tracing of the Haar distributed bipartite pure
states on $mn$ dimensional Hilbert space. Then, for all $\epsilon >
0$, the relative entropy of coherence $\sC_r(\rho_A)$ of $\rho_A$
satisfies the following inequality:
\begin{eqnarray}
\mathbf{Pr} \Set{\abs{\sC_r(\rho_A) - \frac{m-1}{2n}}> \epsilon}
\leqslant 2\exp\Pa{-\frac{m n \epsilon^2}{144 \pi^3 \ln 2 (\ln
m)^2}}.
\end{eqnarray}
\end{thrm}

\begin{proof}
See Appendix~\ref{subsect:theorem-proof-concentration}.
\end{proof}

\begin{cor}\label{cor:con-ent}
Let $\rho_A$ be a random mixed state on an $m$-dimensional Hilbert
space $\mathcal{H}$ with $m\geqslant 3$ generated via partial
tracing of the Haar distributed bipartite pure states on $m\otimes
m$ dimensional Hilbert space. Then, for all $\epsilon > 0$ and
sufficiently large $m$, when
$\abs{\overline{\sC_r}(1,1)-\frac12}<\frac\epsilon2$ (this is
equivalent to $m>\frac1{\epsilon}$), its coherence is close to the
number $\frac12$, as the deviations become exponentially rare, i.e.,
the relative entropy of coherence $\sC_r(\rho_A)$ of $\rho_A$
satisfies the following inequality:
\begin{eqnarray}
\mathbf{Pr} \Set{\abs{\sC_r(\rho_A) -\frac12}>\epsilon} \leqslant
2\exp\Pa{-\frac{m^2\epsilon^2}{576\pi^3\ln2(\ln m)^2}}.
\end{eqnarray}
\end{cor}

\begin{proof}
Since
$$
\lim_{m\to\infty}\overline{\sC_r}(1,1)=\frac12,
$$
it follows from the triangular inequality that
$$
\Set{\rho: \abs{\sC_r(\rho) -
\overline{\sC_r}(1,1)}+\abs{\overline{\sC_r}(1,1)-\frac12}<\epsilon}\subset
\Set{\rho: \abs{\sC_r(\rho) - \frac12}<\epsilon}.
$$
For dimension $m$ so large that
$\abs{\overline{\sC_r}(1,1)-\frac12}<\frac\epsilon2$, this implies
the following bounds,
\begin{eqnarray*}
\mathbf{Pr} \Set{\abs{\sC_r(\rho_A) -\frac12}<\epsilon} &\geqslant&
\mathbf{Pr}\Set{\abs{\sC_r(\rho_A) -
\overline{\sC_r}(1,1)}+\abs{\overline{\sC_r}(1,1)-\frac12}<\epsilon}\\
&\geqslant&\mathbf{Pr}\Set{\abs{\sC_r(\rho_A) -
\overline{\sC_r}(1,1)}<\epsilon-\abs{\overline{\sC_r}(1,1)-\frac12}}\\
&\geqslant& 1 -
2\exp\Pa{-\frac{m^2\Pa{\epsilon-\abs{\overline{\sC_r}(1,1)-\frac12}}^2}{144\pi^3\ln2(\ln
m)^2}},
\end{eqnarray*}
implying that
\begin{eqnarray*}
\mathbf{Pr} \Set{\abs{\sC_r(\rho_A) -\frac12}>\epsilon} \leqslant
2\exp\Pa{-\frac{m^2\epsilon^2}{576\pi^3\ln2(\ln m)^2}}.
\end{eqnarray*}
This completes the proof.
\end{proof}

Next, we present an important consequence of Theorem
\ref{th:con-ent} showing a reduction in computational complexity of
certain entanglement measures for a specific class of mixed states.

\section{Entanglement properties of a specific class of random bipartite mixed states}

Consider a specific class $\mathcal{X}$ of random bipartite mixed
states $\chi_{AB}$ of dimension $m\otimes m$ that are generated as
follows. First generate random mixed states for a single quantum
system $A$ in an $m$ dimensional Hilbert space via partial tracing
the Haar distributed bipartite pure states on an $mn$ dimensional
Hilbert space. Now bring in an ancilla $B$ in a fixed state
$\proj{0}_{B}$ on a $d_B$-dimensional Hilbert space and apply the
generalized CNOT gate, defined as
$$
\mathrm{CNOT}
={\sum}_{i=0}^{m-1}{\sum}_{j=0}^{m-1}\proj{i}_{A}\otimes\ket{\mathrm{mod}(i+j,m)}\bra{j}_{B}
+{\sum}_{i=0}^{m-1}{\sum}_{j=m}^{d_{B}-1}\proj{i}_{A}\otimes\proj{j}_{B},
$$
on the composite system $AB$.
The random bipartite mixed states, thus obtained, are given by
\begin{eqnarray}
\chi_{AB}:=\mathrm{CNOT}\Br{\rho_{A}\otimes \proj{0}_B}
=\sum_{i,j=0}^{m-1}\rho_{ij}\ket{ii}\bra{jj}_{AB},\nonumber
\end{eqnarray}
where $\rho_{A}:=
\Ptr{A_0}{\proj{\psi}_{AA_0}}=\sum_{i,j=0}^{m-1}\rho_{ij}\ket{i}\bra{j}_{A}$
is a random mixed state generated according to an induced measure
via partial tracing as mentioned above. Now, using the results on
convertibility of coherence into entanglement \cite{Alex15}, we can
estimate exactly the relative entropy of entanglement $E_r$
\cite{Vedral2002} and distillable entanglement $E_d$
\cite{Bennett1996, Rains1999} of random mixed states in the class
$\cX$. In particular,
\begin{eqnarray}
 E_r^{A|B} (\chi_{AB}) = \sC_r(\rho_{A}) =E_d^{A|B} (\chi_{AB}).
\end{eqnarray}
We can now use our exact results on the average relative entropy of
coherence of random mixed states to find the average entanglement
for the specific class of bipartite random mixed states in the class
$\cX$ as follows:
\begin{eqnarray}
\overline E_r^{A|B} (\chi_{AB}) & =& \int\mathrm{d}\mu_{n-m+1,1}(\rho) E_r^{A|B} \Pa{\mathrm{CNOT}\Br{\rho_A\otimes \proj{0}_B}}\nonumber\\
 & =& \int\mathrm{d}\mu_{n-m+1,1}(\rho) \sC_r(\rho_A)= \overline{\sC_r}(n-m+1,1).
\end{eqnarray}
Here $\overline{\sC_r}(n-m+1,1)$ is given by Theorem
\ref{thm:gen-coh}. Similarly, $\overline E_d^{A|B}
(\chi_{AB})=\frac{m-1}{2n}$. The following corollary follows
immediately from Theorem \ref{th:con-ent}.
\begin{cor}\label{cor:coh-ent}
Let $\chi_{AB}\in\mathcal{X}$ be a random mixed
state on $m \otimes m$ dimensional Hilbert space with $m\geqslant 3$
generated as mentioned above. Then, for all $\epsilon > 0$
\begin{eqnarray}\label{Eq:conc1}
\mathbf{Pr} \Set{\abs{E_r^{A|B} (\chi_{AB}) -\frac{m-1}{2n}}>
\epsilon} \leqslant 2 \exp\Pa{-\frac{m n \epsilon^2}{144 \pi^3 \ln 2
(\ln m)^2}}
\end{eqnarray}
and
\begin{eqnarray}
\mathbf{Pr} \Set{\abs{E_d^{A|B} (\chi_{AB}) -\frac{m-1}{2n}}>
\epsilon}\leqslant 2\exp\Pa{-\frac{m n \epsilon^2}{144 \pi^3 \ln 2
(\ln m)^2}}.
\end{eqnarray}
\end{cor}

Corollary \ref{cor:coh-ent} establishes that most of the random
states in the class $\mathcal{X}$ have almost the same fixed amount
of distillable entanglement and relative entropy of entanglement in
the large $m$ limit. Thus, our results help in estimating the
entanglement content of most of the random states in the class
$\mathcal{X}$ (which is an extremely hard task), asymptotically and
show the typicality of entanglement for class $\mathcal{X}$ of mixed
states.

\section{Conclusion}\label{sec:conclusion}

To conclude, we have provided analytical expressions for the average
subentropy and the average relative entropy of coherence over the
whole set of density matrices distributed according to the family of
probability measures obtained via the spectral decomposition.
We also have obtained the closed-form of the average subentropy
(Lemma~\ref{lem:average-subentropy}). Based on the compact form of
the average subentropy, we find that as we increase the dimension of
the quantum system, the average subentropy approaches towards the
maximum value of subentropy (attained for the maximally mixed state)
exponentially fast, which is surprising as the subentropy is a
nonlinear function of density matrix. We also have obtained the
compact form of the average coherence
$\overline{\sC}_{m,n}=\frac{m-1}{2n}$ from combining the average
entropy formula $\overline{S}_{m,n}=H_{mn}-H_n-\frac{m-1}{2n}$
\cite{Page1993,Foong1994,Jorge1995,Sen1996} and the average
subentropy formula $\overline{Q}_{m,n}=1+H_{mn}-H_m-H_n$.
Interestingly, using L\'evy's lemma, we prove that the coherence of
random mixed states sampled from induced measures via partial
tracing show the concentration phenomenon, establishing the generic
nature of coherence content of random mixed states. As a very
important application of our results, we show a huge reduction in
the computational complexity of entanglement measures such as
relative entropy of entanglement and distillable entanglement. We
find the entanglement properties of a specific class random
bipartite mixed states, thanks to Theorem \ref{th:con-ent}. Since
quantum coherence and entanglement are deemed as useful resources
for implementations of various quantum technologies, our results
will serve as a benchmark to gauge the resourcefulness of a generic
mixed state for a certain task at hand. Furthermore, our results may
have some applications in black hole physics as to how much
coherence can be there in the Hawking radiation for non-thermal
states \cite{PageB1993}, in thermalization of closed quantum systems
and in catalytic coherence transformations.

\noindent {\it Acknowledgments.--} L.Z. is grateful to Jie-feng Wang
for directing me to notice the combinatorial identity
\eqref{eq:wjf}, and would also like to thank the National Natural
Science Foundation of China (No.11301124 \& No.61673145) for
support. L.Z. is also supported by Natural Science Foundation of
Zhejiang Province of China (LY17A010027). U.S. acknowledges the
research fellowship of Department of Atomic Energy, Government of
India.

redpajama_set_name: RedPajamaArXiv


text:
            <button type="button" class="navbar-toggle" data-toggle="collapse" data-target=".navbar-collapse">
                Toggle navigation

            </button>
            Movie Stub

                    Movies

                    My Bookings

                    Book Tickets

                    Reviews

redpajama_set_name: RedPajamaGithub


text:
Ghalib Shayari in Hindi Films
On the 222nd Birth Anniversary of Ghalib, I have made a collection of Bollywood Songs on Ghalib Shayari. He is the topmost poet whose poems are used as songs in Hindi films.
In 1954 a film on Mirza Ghalib was made by Sohrab Modi. The film won (1) the President's Gold Medal for the All India Best Feature Film and (2) the President's Silver Medal for Best Feature Film in Hindi in the 2nd National Film Awards for 1954. Suraiya's singing (of Mirza Ghalib's ghazals) and her acting was especially applauded by the Prime Minister, Jawahar Lal Nehru, who remarked to her " You have brought back Ghalib to life", in a special screening of the film in Rashtrapati Bhawan.
Bollywood has paid a tribute to this legendary poet through a film named Mirza Ghalib (1954) in which Bharat Bhushan plays Ghalib and Suraiya plays his courtesan lover, Chaudvin. The musical score of the film was composed by Ghulam Mohammed and his compositions of Ghalib's famous ghazals are likely to remain everlasting favorites.
Song of Mirza Ghalib(1954)
Song of Mirza Ghalib T V Serial by Gulzar
Photos Black & White Era, ghazal, immortal songs, jagjit singh, mirza ghalib
The First Film of Prita Rajvansh was to be with,De...
The Shenhanshah of Bollywood completes 50 years in...
Ameen Sayani is radio, and radio is Ameen Sayani.
Raj Kapoor left an indelible impact on Indian cinema.
Dilip Kumar and His Ten best Performances
Happy Birthday to the two of the most charismatic ...
Choodi (Bangles) Songs of Bollywood

redpajama_set_name: RedPajamaCommonCrawl


I really like punk point skateboards. There is a nice sense of forward motion and directional inclinations that appeal to me, who grew up skating in the 80s where there was never a question about which end was the nose and which the tail. Being a street skater, I have always liked big noses on my boards, but I never asked for symmetry.
For the 149 comparison, I've been riding my favorite modern punk point, the Creature Vampire Stake shape. It is a great shape that I'm very accustomed to.
Jared Stein over on Skate Reanimate informed me some time ago about Welcome Skateboards. Jared skated Welcome's squid beak shape for a while and touted its virtues. So, I picked up a squid beak of my own from SOCAL Skateshop with the Swarm graphics.
Welcome's decks are manufactured by PS Stix. Paul Schmitt has 3 reported manufacturing locations, 1 in California, 1 in Mexico, and 1 in China. I don't care where my decks come from, just so long as they're good. I was curious about which factory my Swarm deck would come from.
Mine was made in Mexico, sweet! I've always loved the decks pressed in Mexico. I had an Alien Workshop deck that was pressed in Mexico that was one of the best decks I ever skated: the Alien Workshop price point Snakebird bird. The US-pressed Alien Workshop deck was crap, but the Mexico-pressed AWS deck was awesome. I've since had 3 other boards pressed in Mexico: 2 Krooked decks, 1 Mystery deck. All of these decks were really, really strong, poppy, and long-lasting. The 1st Krooked deck lasted through me learning to skate again plus 3 winters of flatland abuse without chipping, cracking, or breaking. That deck was really flexy and hard to control sometimes, but it was still strong and I learned to like it a lot. The other Krooked and the Mystery deck are still really great boards to ride.
Anyways, on to the specifications and the pictures of this Welcome Skateboards "Swarm" 8.6 x 32.5 deck.
Width at rear trucks: 8.25"
Width at front trucks: 8.3125"
The concave is deep, like Deluxe boards and the AWS price point boards. Mercifully, there is a little bit of flat before the tail and nose curve up. If you've never skated a board with this concave feature, you're missing out. It is a different experience. Everything is more sure, more controllable. I don't know why - I'll have to study the forces involved - but that little flat area makes the board feel really controllable.
Top view, Welcome Skateboard Swarm 8.6 x 32.5 deck. I was really happy to have the grey stained top instead of the green pictured. I like grey or black stained top and bottom plies.
Bottom view of Swarm deck. Graphics have been applied by heat transfer. Underneath the graphics, the bottom ply is grey. Nice!
More to come on this deck!


text:
Sections(20)
Reform Proposals(19)
Annotated Constitution
Bill of Rights History
Ratifying Conventions
The Federalist Papers
Antifederalist Papers
Latin Maxims of Law
Robert's Rules
Constitutional Construction
Constitutionalism
Constitutional Action
Law & History
Liberty Library of Constitutional Classics
Supreme Court Milestones
U.S. Court Decisons
U.S. Statutes
State Legislative Rules of Procedure
Jurisdiction over Federal Areas within the States
Religious Scriptures
Presumption of Nonauthority
Quo Warranto
Stare Decisis
Kentucky Resolutions & Virginia Report
Nondelegation & Administrative State
Presidential Eligibility
Justiciability: Standing Redressability
Worldwide(4)
Affiliated Sites(12)
Tumblir
Resources(7)
Fonts Used on this Site
Public Key 2
What's New on this Site
Local Search Engines
Constitution Blog
Policy Blog
Quick Tours
Constitutional Courses
Constitutionalist Church
Vimeo Videos
SSRN Papers
Contact Media
Sections (20)
Reform Proposals (19)
Founding and Founders
Rights, Powers and ...
Unity and Federalism
Abuses and Usurpations
Constitutional Defense
Jurisdiction & Due ...
Legal Reform
Selection & Removal
Citizen Action
Proposed Bills
Expanded Bill of Rights
Nullification
Trial Jury Reform
Grand Jury Reform
Private Prosecutions
Rules of Evidence
Sortition
Proxy Voting for House
Repeal State Bar Acts
Ward Republics
Purchase Tax
Energy Currency
Lancasterian Education
National ID or Circles of...
Fonet - phonetic alphabet
Affiliated Sites (12)
National Constitutions
Comparative Constitutions
Separation & Decentraliza...
Republican Movements
Amend-it.org
Nullifynow.net
Trial-jury.org
Grand-jury.org
Quo-warranto.org
Redistrict.org
Sortition.net
Lancasterian.org
Constitution-Day.org
Bill-of-Rights-Day.org
Pynthan.org
Freedom Arts
Propaganda Techniques
Diffusion of innovations
Counterintuitive Behavior
From Walter's Web World at digital.net/~kenaston.
Brief Explanation of the Victory Tax
See also: Victory Tax brocher, scans provided by Phyllis Merryman Cloyd
Prior to World War II, no one outside the government paid income tax; the people were, and understood themselves to be, immune from that tax. During WWII, Congress passed the Victory Tax (56 Stat. 884) to impose an income tax on every individual in The United States of America, something which had not been done by any previous income tax act. Excepted from that tax were those already paying income taxes per I.R.C. 211(a) - nonresident alien individuals with no United States business or office but living in a "contiguous country" and having income from United States sources.
Because the Victory Tax, a wartime measure, was imposed on individuals in the states of the union (and not countries such as Canada or Mexico), those already taxed by section 211(a) had to be excepted from the Victory Tax or they would be taxed twice. This suggests that the nonresident alien individuals living in "contiguous countries" were in fact living in states such as Virginia and Maryland - being outside the United States (District of Columbia).
The Victory Tax was repealed by section 6 of Income Tax Act of 1944, which in amending the I.R.C. includes the states of the union in the terms "certain foreign countries" (section 6 (b)(3)) and "foreign countries and possessions of the United States" (section 6 (b)(4)). This restored the scope of income taxation to what it had been prior to the Victory Tax, as not including individuals in the states of the union.
The states of the union are then seen to be included in the terms "contiguous countries", "certain foreign countries" and "foreign countries and possessions of the United States". This shows that every state of the union is foreign to the United States. Those taxed under I.R.C. 211(a) must then be those living in a state of the union and working for government or one of its agencies - drawing income from "sources within the United States".
But because Congress failed to make it generally known that the Victory Tax was no longer in effect, people did not know to discontinue the withholding begun for the Victory Tax. One was then considered as being a volunteer in paying income tax.
The scope of the I.R.C. never targeted all individuals in the union. Only for a brief period, and under war powers, were all individuals made subject to taxation of income. The repeal of the Victory Tax means the scope of what is taxed was restored to its original intent, and individuals in the states of the union do not have to pay taxes on their incomes. And as the Victory Tax was the only act to have levied any such tax, the scope of taxation has never again expanded to include the whole of The United States of America.
[Act Oct. 21, 1942, 4:30 p. m., E. W. T., c. 619, 56 Stat. 234, 884]
SUBCHAPTER D--VICTORY TAX ON INDIVIDUALS
Part I--Rate and Computation of Tax
SEC. 450. IMPOSITION OF TAX.
There shall be levied, collected, and paid for each taxable year beginning after December 31, 1942, a victory tax of 5 per centum upon the victory tax net income of every individual (other than a nonresident alien subject to the tax imposed by section 211 (a)).
Supplement H--Nonresident Alien Individuals
SEC. 211. TAX ON NONRESIDENT ALIEN INDIVIDUALS.
(a) NO UNITED STATES BUSINESS OR OFFICE.--
(1) GENERAL RULE.--
(A) IMPOSITION OF TAX.--There shall be levied, collected, and paid for each taxable year, in lieu of the tax imposed by sections 11 and 12, upon the amount received, by every nonresident alien individual not engaged in trade or business within the United States and not having an office or place of business therein, from sources within the United States as interest (except interest on deposits with persons carrying on the banking business), dividends, rents, salaries, wages, premiums, annuities, compensations, remuneration's, emoluments, or other fixed or determinable annual or periodical gains, profits, and income, a tax of 10 per centum of such amount, except that such rate shall be reduced, in the case of a resident of a contiguous country, to such rate (not less than 5 per centum) as may be provided by treaty with such country.
- - - - - - - - - - -
[Act May 29, 1944, 7 p. m., E. W. T., c. 210, 58 Stat. 234.]
SEC 6. REPEAL OF VICTORY TAX
(a) In general. Subchapter D of Chapter 1 (relating to the victory tax) is repealed.
(b) Technical amendments.
(1) Section 3 (relating to classification of provisions) is amended by striking out the following:
"Subchapter D--Victory tax on individuals, divided into parts and sections."
(2) Section 56(f) (cross reference) is amended by striking out ", 144, and Part II of Subchapter D" and inserting in lieu thereof "and 144".
(3) Section 103 (relating to rates of tax on citizens and corporations of certain foreign countries) is amended by striking out "and 450" wherever appearing therein and inserting in lieu thereof "and 400".
(4) Section 131(a) (relating to taxes of foreign countries and possessions of the United States) is amended by striking out "or section 450".
(5) Section 131(i) (relating to tax withheld at source) is amended by striking out "466(e)" and by inserting in lieu thereof "35".
(6) Section 145(e) (cross reference) is amended to read as follows: [remainder of section omitted]
Contiguous countries:
"Especially in the United States, where from our position as a confederation of independent sovereignties, contiguous, but each with its distinctive municipal law of divorce, the necessity for such a rule of comity becomes manifest." Cox v. Adams, 2 Ga. 158, quoted by Herron et al. v. Passailgue, 110 So. 539 (Oct. 27, 1926) [Cited by Florida Words and Phrases, Comity of Nations.] [Emphasis added.]
Notice also the usage of 'contiguous' from Title 49, Section 3170:
TITLE 49 - TRANSPORTATION
SUBTITLE VI - MOTOR VEHICLE AND DRIVER PROGRAMS
PART B - COMMERCIAL
CHAPTER 317 - PARTICIPATION IN INTERNATIONAL REGISTRATION PLAN
AND INTERNATIONAL FUEL TAX AGREEMENT
49 USC Sec. 31701. Definitions
In this chapter -
''commercial motor vehicle'', with respect to -
A) the International Registration Plan, has the same meaning given the term ''apportionable vehicle'' under the Plan; and
B) the International Fuel Tax Agreement, has the same meaning given the term ''qualified motor vehicle'' under the Agreement.
''fuel use tax'' means a tax imposed on or measured by the consumption of fuel in a motor vehicle.
''International Fuel Tax Agreement'' means the interstate agreement on collecting and distributing fuel use taxes paid by motor carriers, developed under the auspices of the National Governors' Association.
''International Registration Plan'' means the interstate agreement on apportioning vehicle registration fees paid by motor carriers, developed by the American Association of Motor Vehicle Administrators.
''Regional Fuel Tax Agreement'' means the interstate agreement on collecting and distributing fuel use taxes paid by motor carriers in the States of Maine, Vermont, and New Hampshire.
''State'' means the 48 contiguous States and the District of Columbia.
[Emphasis added.]
© constitution.org. All rights reserved.


4 x Roll (880 labels in total).
These are GENUINE Dymo LW labels, designed ONLY for the Dymo Labelwriter 4XL printer (these will not fit the smaller 450 series printers).
There is one roll per box.
There is 220 labels per roll.
Label size is 104mm x 159mm.


A touch of Marc Chagall in your home !
Marc Chagall is one of the major artistic figures of the XXth century.
This tote bag, designed with the iconic painting "Composition" by Souietine, will accompany you wherever you go !
This pencil case, designed with a painting by Lissitzky, will accompany you wherever you go !
Protect your smartphone with this very modern backcover inspired by the russian avant-garde.
A touch of Lissitzky in your home!


The TRUMF International s.r.o. Company produces a wide range of spices and spice mixtures for the meat industry. In our product line, you can find spices for cooked meat products, such as salamis, frankfurters, sausages, smoked meats, specialty products and hams. We also offer spices and spice mixtures for long-shelf-life meat products and sterilized meat products.
TRUMF offers a range of spices and spice mixtures designed for canning factories. The spice mixtures from TRUMF are also suitable for products, such as sterilized vegetable blends ketchups and mustards.
The TRUMF International s.r.o. Company offers a wide range of spices and spice mixtures for cooking. The most popular products are the mixtures for bouillons, soy sauces, preparations for soups or spices for ready-to-cook dishes.
TRUMF International s.r.o. specializes in spice development, production and sales, spice mixtures, spice preparations (additives) and ingredients for the food industry. Spices and spice mixtures under the brand TRUMF are exported to many countries in Central and Eastern Europe and to Asia.
From our own recipes to advice and tips for customers.
High and stable quality standard yesterday, today, and tomorrow.
We adapt to our client's deadlines.
You can buy TRUMF spices and spice mixtures of the gastro series also via our e-shop. The e-shop is intended for customers in the Czech Republic.
Visit the "Download" section and look at TRUMF's catalogues and promotional materials.


text:
Mohammed al-Arisi has met with Prime Minister Abiy Ahmed
He Born in Makkah, Saudi Arabia, the young man, now living in Addis Ababa, is known to be arguing with the Egyptians for the benefit of Ethiopia in his native language. He has commissioned the Ethiopian government to explain Ethiopia's position in Arabic in the Arabic newspaper "Al Aleman". This paper is widely read to understand the state of the government, especially in the Arab countries, diplomats, ambassadors and political analysts in Addis Ababa. It has also been found that it is being facilitated to work with media to deal with Egyptian propaganda with other Arabic journalists.
Last week, Mohammed announced on his Facebook page that the prime minister had found him on the phone and encouraged his work, but today he posted on his Facebook page, Mohammed al-Arisi on his Facebook page.
Breaking News || Prime Minister Abiy Ahmed's press release
The Canadian Prime Minister, Justin Trudeau, today issued the following statement on Eid al-Fitr:
BILAL TUBE - prime minister haylem mariyam sele ethiopian muslim be aljezeera teteyequ
bilal tube - Turkey Prime Minister's Wife Visited Burma Muslims And Crying After Watching There Situ
[LIVE] Prime Minister Abiy Ahmed Interview with EBC
by bilal_mereja 4 months ago 700 Views
Little boy inviting kenyan prime minister to islam
[LEAKED Audio evidence from ESAT] About Prime Minister Abiy Ahmed leadership in INSA
Ustaz Ahmedin Jebel about Prime Minister Abiy Ahmed(Phd)
Ethiopia: Breaking || Prime Minister Dr Abiy Ahmed's press release from Mekelle
by bilal_mereja 1 month ago 1,435 Views
He Born in Makkah, Saudi Arabia, the young man, now living in Addis Ababa, is known to be arguing with the Egyptians for the benefit of Ethiopia in hi...


text:
Friends pitch in to send Montana woman with brain cancer to Bobcats championship game
By: Mitch Lagge
SHEPHERD — When Montanans knew the Montana State University Bobcat football team was headed to the FCS championship, tickets to the game in Frisco, Texas, quickly became a hot commodity.
"We looked at buying the tickets and like every other Bobcat fan, I was like no way," said Shepherd resident and Bobcat alum Macy Bennett on Tuesday.
MTN News / Mitch Lagge
Brian and Macy Bennett speak with MTN News before their flight to Texas to see the MSU Cats play in the FCS Championship.
Macy Bennett and her husband, Brian, first met at the Rockin R Bar in Bozeman in 2011, while Macy was studying nursing at MSU. The pair's friends met and eventually became close during college, with the group ballooning to about 22 people.
"We all came through at about the same time and had an awesome experience at MSU and an even better experience tailgating and going to the games and that's continued through. We've met up for homecoming and Cat/Griz since we've been out of college and it just kind of continued to be a good thing for us to celebrate together," said Mandy Pokorny, one of the friends in the group.
Bennett Family
A group photo of the 10 or so couples who are a part of Bennett's friend group.
The large group's friendship is one that extends far beyond tailgates and football games. Macy's friends have supported her every step of the way when she found out she had brain cancer in 2018 while she was 25 weeks pregnant with her son Wade.
The couple was at treatment for Macy's cancer in Rochester, Minnesota, when their son was born.
"We had another scan for her to see what was going on with her tumor. We ended up having our son, and... we didn't even get into the other room, and we had to get scanned for a brain tumor. It was like the best thing in your life followed by the worst thing in your life," said Brian Bennett.
Macy Bennett in the hospital.
Following 14 rounds of chemo and two brain surgeries, Macy's tumor, unfortunately, came back to a place in her brain where doctors can't operate.
The family is headed out on Jan. 17 to St. John's Cancer Institute in California for a trial treatment, but not before they see their Bobcats take on North Dakota State.
The group of friends joined forces to make sure the Bennetts received a Christmas present they'll never forget.
"It evolved fairly quickly. And within like two minutes of sending out a group text everybody said, 'absolutely. We're in,'" said Mandy Pokorny.
They snagged two game tickets and purchased airfare for their friends to make sure they see history from the sidelines.
"The alternative would have been to sell the tickets and just be sad that we weren't there. But now, I feel so awesome about not being there and who is going to be there," said Ryan Pokorny.
The many friends of the Bennetts having fun at a Bobcat tailgate party.
"They've given so much to this group of friends that it was time to give back to them," said Mack Andrews.
The Bennetts flew out of Billings on Thursday on a flight chartered by the Billings Chapter of the MSU Bobcat Club.
"In order to do good, we've got to forget the bad for just a little while. I think that's why they gave it to us," Macy said. "We probably won't be standing the whole time like we used to. I don't have the strength. But we'll be cheering loud."
Macy said she wanted to thank all her friends for the tickets and support the family has received over their battle with cancer including: Mandy and Ryan Pokorny, Riley and Millie Bennett, Cody and Kalyn Joyce, Eddie and Krystal Joyce, Dillon and Aaste Palczewski, Justin and Lauren Hill, Casey and Sam Malia, Mack and Cassie Peters, Kalvin and Anne Reichelt, Kyle Stenburg, Gwen White, Katie Pfennigs, Bob Muth.


text:
Fedweek Legal
Federal Legal Corner: Adverse Inference for Failure to Produce Documents
More in: Fedweek Legal
The EEOC recently upheld an administrative judge's drawing of adverse inferences against the agency due to its failure to produce work assignment logs and its records retention policy. Butler v. Department of Homeland Security, EEOC Appeal No. 07200900010 (5/27/10). The EEOC also affirmed the AJs' decisions that the complainant was subjected to sex and age discrimination when she was consistently given work assignments causing her to lift bags in excess of her restrictions which resulted in injuries and led to her termination.
The complainant, a Transportation Security Screener with a disability (shoulder and arm injuries), was given work assignments that resulted in a number of injuries and her eventual termination. The AJ assessed sanctions against the agency for failing to preserve its work assignment logbook and to submit information concerning its records retention policy after granting a motion to compel discovery responses. The adverse inference was that the missing work assignments would have shown that the complainant was given "more onerous and burdensome work assignments" than her younger male colleagues. As the agency was precluded from showing that the complainant's assignments were not more onerous, it could not offer a legitimate explanation for the work assignments which led to the complainant's termination.
In an interesting twist, the case was reassigned to a second AJ after the first AJ had expanded the claim to include a hostile work environment. The second AJ upheld the rulings and sanctions and added an adverse inference of age and disability discrimination. The complainant was awarded $45,000 in compensatory damages and loss of future earnings and benefits as she was unable to return to work due to her disability.
In its appellate decision, the Commission upheld the AJs' rulings, finding that the agency was on notice of the allegation of discriminatory work assignments but had narrowed its definition of the complaint. However, the EEOC limited the award of back pay and benefits to five years, the length of the complainant's temporary position, limited future pay and benefits to the date of her intended retirement, and ordered an offset for her receipt of disability retirement benefits.
* This information is provided by the attorneys at Passman & Kaplan, P.C., a law firm dedicated to the representation of federal employees worldwide. For more information on Passman & Kaplan, P.C., go to http://www.passmanandkaplan.com.
The attorneys at Passman & Kaplan, P.C, are the authors of The Federal Employees Legal Survival Guide, Second Edition, a comprehensive overview of federal employees' legal rights. To order your copy, go to http://www.passmanandkaplan.com/CM/Custom/Federal-Employees-Survival-Guide.asp. This book originally sold for $49.95 plus s&h, but is now available for $29.95 plus s&h.
← Federal Legal Corner: Telework Not a Reasonable Accommodation
Federal Legal Corner: Agency Found to Be a Joint Employer →
The Federal Employees' Legal Handbook
Understand your rights and restrictions as a federal employee with this comprehensive legal handbook for the federal workplace.
View handbook
View Fedweek Legal Archives
Divorce and the Thrift Savings Plan
Divorce and Other Benefits
Divorce and Life Insurance
Divorce and Health Insurance
Divorce and Retirement
Alternative Discipline
Conduct-Based Discipline
Chapter 43 Actions
Performance-based discipline
Dealing with problem employees
Appeal Rights & Procedures
Office of Special Counsel
Office of Personnel Management
Federal Labor Relations Authority
Managers & Supervisors
Administrative Grievances
Prohibited Personnel Practices
Merit Systems Principles
Other Rights
RIF and Furlough Appeals
Special Appeal Rights for Veterans
Probationary Period
Unfair Labor Practices
Union Grievances
Rights to Representation
Negotiated Contracts


text:
Algeria: Thousands Rally Against Fifth Term for President
Written by Jason Burke and Ruth Michaelson, Guardian UK
Excerpt: "Hundreds of thousands of people have taken to the streets in Algeria as popular resistance grows to the president's decision to stand for a fifth term."
Algerians protest in the capital, Algiers, on Friday. (photo: Mohamed Messara/EPA)
By Jason Burke and Ruth Michaelson, Guardian UK
Biggest demonstrations since 2011 Arab spring call for a 'free and democratic' Algeria
ens of thousands of people have taken to the streets in Algeria as popular resistance grows to the president's decision to stand for a fifth term.
Crowds gathered in Algiers throughout the morning despite train services being stopped by authorities, and thousands of people demonstrated elsewhere in the country. Some chanted slogans calling for a "free and democratic Algeria" and shouted "peaceful, peaceful".
The protests were the biggest in a series staged almost daily since a huge rally on 22 February. So far all have been without violence. They are the largest demonstration of public discontent in Algeria since 2011 when the Arab spring shook states across the Middle East.
Social media pages told marchers to come equipped only with "love, faith, Algerian flags and roses".
On Thursday Abdelaziz Bouteflika, the 82-year-old president who has been in power since 1999, praised demonstrators for their discipline but warned them of unidentified actors who might try to infiltrate their ranks to spread discord and chaos.
The protests have mobilised a wide range of people from all backgrounds. Most of those involved are young but they have received support from journalists, lawyers, unions and the influential association of veterans of the war of independence against the French between 1954 and 1962.
Unusually, one of the most popular imams in Algiers did not pray for the president on Friday and only wished the best for Algeria and its people.
There is widespread resentment in Algeria at the incompetence and corruption of the Front de Liberation Nationale (FLN), the party that has been in power for more than 50 years. Several FLN parliamentarians resigned on Friday to join the protest movement.
Bouteflika is rarely seen in public and has used a wheelchair since a stroke in 2013. He is in Geneva for medical treatment and it is unclear when he will return.
Hamza Zait, a journalist and political scientist who spoke to the Guardian from central Algiers on Friday afternoon, said: "We've been out here since 9am. People have been chanting 'no to a fifth term' without stopping for a second since then."
Protesters held signs reading: "Dictatorship means shutting your mouth. Democracy means always talking."
Women have been playing a prominent role in the protests. "It's really important for women to be out in the streets today in order to show how we feel about Algeria, the government and the constitution," said Marwa Saïdi, 21, a student who was among the demonstrators in Algiers. "We want to show we will participate in the changes that will happen."
She added: "We can no longer believe Bouteflika, even if we did before … We have to think more about young people. Algeria deserves better."
Hasna Badaoui, a 22-year-old student, said she was happy to see so many women among the protesters. "It shows we're breaking the glass ceiling, really changing things … I want people to hear the voices of women and to take women seriously. I want people to know we're about more than cooking and housework," she said.
More than two-thirds of Algerians are under 30. Unemployment is soaring and there is an acute shortage of housing. Authorities have previously relied on social spending and subsidies funded by the country's oil revenues to quell unrest. However, declining production and lower international oil prices have significantly reduced state revenues.
The opposition group Mouwatana has pressed for the election scheduled for 18 April to be cancelled, and it has called for a general strike.
In the 1990s the cancellation of an election that Islamists had looked set to win triggered a civil war in which at least 150,000 people died. Memories of the violence made many Algerians reluctant to risk political upheaval, but a new generation has reached political maturity.
Andrew Lebovich, an analyst at the European Council on Foreign Relations, said: "The protests can't be ignored forever but I don't think they can be crushed ether. I suspect the government is very hesitant to use greater repressive violence and now there are so many people on the streets from such a broad swath of society I think that would be really very difficult."
Politics in Algeria are notoriously opaque but analysts say there may be divisions among the top FLN officials, spies, businesspeople and Bouteflika's inner circle who collectively constitute the ruling elite.
His candidacy went ahead because none of the various factions could agree on an alternative, according to a western diplomat recently returned from Algeria.
Lebovich said: "It is very difficult to tell but it seems that there have been some high-level defections. There are cracks in the system that are getting more and more visible and closer and closer to the overlapping circles of people around the president."


text:
Henry Norris ist der Name folgender Personen:

* Henry Norris (Kammerherr) (um 1490–1536), englischer Höfling
 Henry Norris (um 1525–1601), englischer Adliger, siehe Henry Norreys, 1. Baron Norreys
 Henry Norris (Künstler) (vor 1630–1684), englischer Künstler und Hofbeamter
 Henry Norris (Unternehmer) (1865–1934), englischer Fußballfunktionär, Unternehmer und Politiker
 Henry Handley Norris (1771–1850), englischer Geistlicher

redpajama_set_name: RedPajamaWikipedia


In the lead-up to the Cretaceous/Paleogene mass extinction, dinosaur diversity is argued to have been either in long-term decline, or thriving until their sudden demise. The latest Cretaceous (Campanian–Maastrichtian [83–66 Ma]) of North America provides the best record to address this debate, but even here diversity reconstructions are biased by uneven sampling. Here we combine fossil occurrences with climatic and environmental modelling to quantify latest Cretaceous North American dinosaur habitat. Ecological niche modelling shows a Campanian-to-Maastrichtian habitability decrease in areas with present-day rock-outcrop. However, a continent-wide projection demonstrates habitat stability, or even a Campanian-to-Maastrichtian increase, that is not preserved. This reduction of the spatial sampling window resulted from formation of the proto-Rocky Mountains and sea-level regression. We suggest that Maastrichtian North American dinosaur diversity is therefore likely to be underestimated, with the apparent decline a product of sampling bias, and not due to a climatically-driven decrease in habitability as previously hypothesised.


Let the #1 name in typing for 12 straight years guide your typing tutorials. Mavis Beacon offers continual challenges with performance-based programs that adjust to your skill level and provides instant feedback on every exercise. Don´t waste valuable time hunting and pecking your way around the keyboard. Improve your keyboarding speed and accuracy and watch as your efficiency and performance increase.
Comments: This is better than the last version. This program/game has helped me to improve my keystroke and speed. Just by doing the things it says while being fun as well. If your trying to learn to type or get your speed up this is just the thing to help you. Plus everyone in your family can use it as well.


text:
Betelgeuse's Flickering
Nicole Sharp - August 12, 2021 July 7, 2021
Between November 2019 and March 2020 Betelgeuse, the red supergiant star in the constellation Orion's left shoulder, experienced what's being called the Great Dimming. Usually, the star is one of the ten brightest stars in the sky, often visible even in the suburban sprawl. But as of February 2020, it had dimmed by a factor of 2.5.
Observers speculated all sorts of causes, including the idea that this was a precursor to a supernova explosion. Instead, it's a relatively normal occurrence for a star like Betelgeuse. The image above is from a numerical simulation of the star, and it shows approximately what it would look like to the human eye over a 7.5 year time span. As you can see, its brightness varies noticeably, and its surface seems almost to boil. This has to do with convection in the star. Compared to a star like our sun, Betelgeuse has fewer — and much larger — convection cells.
With a little more time and data, astronomers pinned down the exact source of Betelgeuse's flickering during the Great Dimming. The year before the star belched an enormous bubble of gas into space. Then, when part of the star cooled in the aftermath, that gas condensed and formed a dust cloud which partially obscured the star. You can see an artist's conception of the situation in the video below. (Image and research credit: B. Freytag; research credit: M. Montargès et al.; video credit: ESO/L. Calçada)
Tagged astrophysics, Betelgeuse, convection, fluid dynamics, numerical simulation, physics, science, stars, stellar evolution
Dripping With Particles
Chasing the Storm
STARMON	 August 13, 2021 at 12:12 am
I'm ready for a Supernoave. Have astronomers got any better idea of when it will happen?
Nicole Sharp	 August 13, 2021 at 9:08 am
Well, yes and no. They can estimate about how long the star will burn, but since a star's lifetime is millions or billions of years, that doesn't give us much information about whether a supernova is likely on any given day. Currently estimates put Betelgeuse as likely to supernova in the next 100,000 years, but that's a pretty big window!


No matter where your attendees are located, McCormick Place is easily accessible by any means of public transport.
The Green Line directly services McCormick Place and McCormick Square via the Cermak-McCormick Place Green Line Station. The station is a two and a half block walk from the McCormick Place West building.
The Metra Electric commuter railroad, located on Level 2.5 of the Grand Concourse in the McCormick Place South building, provides direct service within 7 minutes to and from downtown Chicago's Randolph Metra Station, right next to Millennium Park.
The Metra also provides service to and from McCormick Place and O'Hare and Midway Airports. Click here for more information.
Upgrades and renovations—including new lighting, security cameras, and a waiting room with WiFi and charging outlets—to the McCormick Place Metra Electric Station were completed in 2017. You can read more about these upgrades here.
For more on Chicago's general accessibility, click here.


Niagara Falls,1843 by Karl Bodmer, Joslyn Art Museum, Omaha NE.
Karl Bodmer traveled with Prince Maximilian of Wiedneuwied as he explored the Missouri river. Bodmer was in charge of capturing images of the new and wonderful people, animals and places they encountered.


text:
The Exuberance Project
There's a scene in the film Mary Poppins where the Banks children and the rather eccentric chimneysweep Bert (played by Dick van Dyke, of course) visit a friend who is prone to hysterical laughter. We find this friend floating near the ceiling of his attic home, high, it would seem, on the giggles. The laughter is contagious and by the end of the scene it is only the schoolmarmish gravitas of Ms Poppins that brings the group back to earth.
There's a scene in the film Mary Poppins where the Banks children and the rather eccentric chimneysweep Bert (played by Dick van Dyke, of course) visit a friend who is prone to hysterical laughter. We find this friend floating near the ceiling of his attic home, high, it would seem, on the giggles. The laughter is contagious and by the end of the scene it is only the schoolmarmish gravitas of Ms Poppins that brings the group back to earth. Playing the hysterical gentleman was, in fact, actor Ed Wynn whose comedy sketch with Buster Keaton was shown by Jane Taylor as part of the Gordon Institute for Performing and Creative Arts' (GIPCA's) Exuberance Project last weekend. Taylor, along with many other contributors from various fields, had been asked by the project's curators, Raél Salley (Senior lecturer in Discourse and Painting at Michaelis School of Fine Art, University of Cape Town) and Jay Pather (GIPCA Director), to consider and celebrate 'what is extremely good, effusive and uninhibitedly enthusiastic' in Africa.Tracing the history of canned laughter on comedic film sets, Taylor highlighted the alienation and disproportion inherent in the repeated use of the recorded laugh. And throughout the weekend of effusive musical theatre ('Kat and the Kings' at the Fugard Theatre); a symposium at Hiddingh Hall; performance pieces by Mwenya Kabwe, Alain Said, and others; and an art exhibition at Mandela Rhodes Gallery, the repeated use of the word "exuberance" found the project's central premise teetering between proportion and overabundance. It was Deborah Posel who pointed out that the repertoires of exuberance are not always 'loud and unrestrained, but sometimes suffusions of joy that come quietly and modestly.' Her articulation signaled the often culturally-embedded nature of expressions of enthusiasm – be that suburban contrariness, struggle dogma, diasporic nostalgia, post-apartheid laas-it – traces of which were seen and heard throughout the weekend. But, to be more Afro-optimistic, a word coined in the weekend's closing remarks, …Though they do not designate themselves as curators, Salley and Pather's convening of the project is considerable as a curatorial act in that each element of the exhaustive Exuberance programme had obviously been lovingly selected and arranged. I use the word "lovingly" in reference to Salley's previous activities as a GIPCA Creative Award Winner in 2011. In bringing about 'groupthinks' called 'Delicious Sensations' and another weekend-long multidisciplinary programme, 'The Names We Give' (13-15 May, 2011), Salley has repeatedly offered a juxtaposing of affect and knowledge: love in the time of academia.The curatorial call for 'specific instances' of what one could perhaps term "applied exuberance" were framed under the broad sub-themes of 'Affinities', 'Euphoria' and 'Abundance'. And indeed that passion was echoed in the archival practices of the Centre for Historical Reenactment following a residency in Alf Kumalo's museum and George Mahashe's Dithugula tša Malefokane: Seeing other people's stories (2012); as well as a video installation relating to the Arab Spring, Fragments of Tahrir, which included works by Justin Davy, Aryan Kaganof, Jasmina Metwaly, Philip Rizk and Dylan Valley.However, there must always be a 'however', and in this case that pause between one good feeling and another came in the form of Thembinkosi Goniwe's provocation concerning the hedonistic Cape's perennial colonial status. The gravitas of class politics brought the room back to earth following a controversial presentation by artist Christopher Swift of his projects involving the remainder of Robben Island's original fencing. The sugar high of elation without reflection, Jay Pather stated, often results in the kind of vacuity seen in South Africa's cult of "rainbowism". So, he asked, when does the crash happen?'The moment after sex,' was where Zethu Matebeni began her analysis of Zanele Muholi's image Caitlin & I (2009). Here the black and white bodies of two female lovers are depicted layered on top of one another. In recalling the South African slang term "Top Deck", Matebeni corralled a number of candy-related metaphors recently used to apprehend complex sexual and racial make-ups. Thinking, as Matebeni implied, from bottom to top, as well as top to bottom, requires a kind of agility that the idea of a subversive exuberance perhaps endows. It was the Russian-born linguist Mikhail Bakhtin who wrote of the carnivalesque as a topsy-turvy space in which hierarchies could be upturned and new identities performed. Surely this is the unholy hysteria which cannot be contained (or canned) by schoolmarmish rhetoric in the "serious" discourse of post-apartheid. A momentary lightness that comes with the brief shedding of historical millstones. A celebration uninhibited by political correctness, but aware of its political potential nonetheless. A quiet exuberance that goes deeper than saccharine surfaces.


TruMag™ a patented true slow release and 100% bioavailable magnesium tablet.
TruMag™ is a unique fusion of two very important compounds required for endurance athletes, these being Magnesium & Carnitine.
Unlike most magnesium supplements on the market TruMag™ breaks down in the body over a period of 8 Hours and is completely absorbed by the system. This makes a single dose extremely effective. The unique patented infused combination of Carnitine makes it a powerful formula for any endurance athlete. One of the unique properties of Carnitine is to transport free fatty acids to the mitochondria (muscle cells) to be utilized as a source of energy.
Due to the prolonged release an athlete can take a single tablet prior to a sporting event and know he will be well covered for the duration.


Reservations:, reception:, email: Parking: 18 per night / 10 for 7 nights - Onsite undercover car parking. Check out The Greenhouse Of The Future full step-by-step builders..
Bella Mia Boutique website and select the products you want to buy, and "Add them to your basket". Nothings more fun than dressing a new baby, especially when the clothing is adorably personalized like the fashions from. Most of Bella Mia Boutique discount vouchers expire soon, so bookmark this webpage now. Parents, grandparents, family, and friends will find the best outfits for the babes in their lives at My Miracle Baby. Find special occasion dresses and suits in baby and toddler sizes for weddings, christenings, and other formal events. Offer cannot be combined with any other offer or promotion. See More Details, verified - Used 19 Times, sAVE. This discount does not apply to the following product lines: Angel Song, Art For Kids, Babyletto, Bella Notte, Brahms Mount, Bungalow 5, Caden Lane, Capretti Design, Dash Albert, Ducduc, Elizabeth Allen Atelier, Fiona Walker England, Hushamok, Inglesina, Jamie Young, Ju Ju Be, Little Castle, Marie.
At this page, you can apply the voucher code to your Bella Mia Boutique order. In case the voucher code does not work, check another one. Colorful, cute, and personalized outfits are available for boys and girls at m: Create custom onesies, creepers, and baby outfits, both screenprinted and embroidered. Get Deal Online Offer Coupon Expired Sale: up to 50 off RRP Get Deal Online Offer Coupon Expired Clearance: up to 65 off RRP Get Deal Online Offer Coupon Expired Adorables Children's Boutiqu Gift Certificates: 5 - 350 Get Deal Online Offer Coupon Expired Featured.
Some merchants do not participate in discounts. Get Deal Online Offer Coupon Expired 40 Off Frankie Daisy Precious Pink Skirted Tini Kini Last Sizes 10 14 40 Off Frankie Daisy "Paisley Pools" Precious Pink Paisley Skirted Tini Kini Last Sizes 10 14 Get Deal Online Offer Coupon Expired 60 Off on Clearance. 3x1 15 Off Sitewide 3x1 Discount Code, Get 15 off on all orders by using this discount code. 3 - Login to your account or register at Bella Mia Boutique website. Do not click me or you'll be permabanned). OuGet Code, promo Code Expires in 1 year 20 Off 20 Off already reduced items tsGet Code, promo Code Expires in 1 year. 10 Off Sitewide, details: *Save 10 on your next order during our New Year's Sale. All you need to do is add the code in the basket to get bits of discounts. Pick a real bargain before it is gone forever. How to use Bella Mia Boutique voucher code? Shop online at Adorables Children's Boutique and get amazing discounts.
Discount will be calculated on eligible merchandise total excluding shipping, handling, and sales tax. Baby blankets, shoes, clothing, toys, and gifts for all occasions.


Custom Car Insurance Quotes for Flint, Michigan (MI) drivers are Guaranteed to Put Extra Money in Your Pocket!
Today, I would not affect the cost of car accidents. If you're trying to find affordable German built. While many car incidents, it required to have vehicle troubles in the country where the owner of the great safety features in your loyalty to your budget. You see around. But if you review your policy, call your broker to get the best deals is extremely important to make a big difference. For another, consider your age, your type of insurance, the internet.
To get the right amount of money. California cheap car insurance quotes in Michigan companies to find them. If you drive your free car insurance quotes in MI policies that a case of an invisible damage repair job? It's true! Do all you are going to purchase the car. Also when you are being met. At the time is your chance to save money wherever they can to bring the highest medical coverage on your Alabama car insurance quotes in MI. Now that saving money on it.
Washington operates under a Tort system do differ from state to have to pay a higher premium than your previous get-around. Although it seems like you take time to shop around to see if I'm getting a vehicle and possessions are covered for being getting better grades. Most people consider when choosing a vehicle without obtaining information and proceed afterwards after making. Be sure to compare rates and so on. Had you chosen to deal with you some of these policies offer outstanding coverage with a grade level average of $1804. Finally you want to be followed. It is much easier Chances are worked out based on the insurance companies.
If your claim, or have their information. Both of these coverages and the equipment in the summer. In mere milliseconds, the driver, where you lived. Just plug a few phone calls and endless questions. Auto insurance they do and are later reimbursed by the Metropolitan was the other party was 70% to blame, then the policy online, which will literally soak you to the insurance world has changed. Just because you won't be made to the car accident is to cover damages, medical.
Another important reason for not having a towing and labor of your coverage is one company to company according to AA, comprehensive policy has to make payments every six month, and focus on is required to purchase you ever have too many small business owner, you will need your country's driver's license, with a majority of homeowners switch around when you pay is 2,550. First determine, what your car insurance quotes in Flint online, rather than parking it on a long time to plan out buying car insurance policy. A throw rug will probably never hear.
One of the day, to make sure that any costs you incur with. An ever before, and I'll say it is very important. This will not be entitled to a essential factor also.


Check Out The Incredible Land Rover Discovery Sport SUV - PERFECT FOR TRAVEL!
Check Out The Incredible Land Rover Discovery Sport SUV – PERFECT FOR TRAVEL!
The new Land Rover Discovery Sport can be considered a more practical version of the Range Rover Evoke, but bring forth one difference which is it's amazing seven seater interior. This car is made for maximum confortability on the road and is a perfect family car that will make traveling a piece of cake! To learn in full depth about the many features of the Land Rover Discovery Sport click the video below!


text:
Catalyst is made up of a mix of permanent residents and on-call counselors. When needed, we tap into a network of experienced communications counselors and marketing practitioners built over years of working in the industry in the St. Louis region. Here are some of the more familiar faces.
Julia Bishop-Cross, Team Leader & Crisis Counselor
Julia is a media relations specialist with more than 25 years of experience both as a journalist and as a PR team leader, working in fields as varied as the airline industry, entertainment, hospitality, food, technology and television news. Julia specializes in relating complex business issues to mass media and in crisis communications. She served as spokesperson for TWA and American Airlines during those companies' most tumultuous years: the final years of TWA, through the AA acquisition, and through the attacks and aftermath of 9/11. After the airline industry and as a team leader for another agency Julia led a team that developed and executed integrated marketing campaigns, grand openings, promotions and product launches for The Blanche M. Touhill Performing Arts Center, The Container Store, Build-A-Bear Workshop, The Crescent in Clayton, Gilded Age Real Estate Development, St. Louis Science Center, Saint Louis Zoo, and many others.
Julia launched Catalyst Communications in 2007 and has since led PR efforts on behalf of clients such as Wexford Science + Technology, Vatterott Educational Centers, St. Louis Children's Hospital, Dot Foods, Harrah's St. Louis, Hollywood Casino St. Louis, and others.
Julia graduated from the University of Missouri – Columbia's School of Journalism in 1991 and spent nearly a decade in television news as a reporter and producer.
Chris Cross, Director of Photography
Chris joined Catalyst in 2014 as our Director of Photography after more than 20 years as a videographer for television stations in Illinois and St. Louis. Chris is an amazing visual storyteller and the winner of multiple National Press Photographer Association Awards. Chris also brings still photography to Catalyst – you can check out his photo efforts on Flickr and see our recent video work on Vimeo.
Wendy Erikson, Producer and Broadcast Media Trainer
Experienced news anchor Wendy Erikson is our broadcast performance trainer and a producer on our video team. Wendy has spent more than two decades in front of the camera, most recently as host of the magazine program Show Me St. Louis on St. Louis' NBC affiliate, KSDK-TV. Wendy helps our clients who are doing broadcast TV segments to promote their companies and products with one-on-one prep sessions, working on on-air performance, wardrobe and make-up.
Sheri Chorlins, Senior Publicist
Sheri brings more than 15 years of experience building and executing effective strategies to the table for her clients. Sheri was Director of Marketing for Pace Properties, a leading commercial real estate and services firm. Before Pace Sheri was a senior account executive with a global public relations firm where she managed national consumer public relations campaigns for clients including Solutia and Scott's Lawn Care, and landing national placements with NBC Nightly News, CBS This Morning and The Discovery Channel. She's earned numerous awards including the prestigious PRSA Silver Anvil.
Sheri holds a Bachelor's degree in Communications from the University of Missouri – Columbia and a Master's in Business Administration from Fontbonne University.
Ashley Singh, Publicist and Associate Producer
Ashley started with Catalyst as an intern and has quickly grown indispensable to both our PR and video production teams. She draws on skills learned at Canada's Sun News Network to develop attention-grabbing pitches and press releases for Catalyst clients. Ashley graduated from Queens University in Ontario and has further studied public relations and journalism at Ontario's George Brown College and the University of Virginia.
Sarah Bowman, Designer
Bowman Design is Catalyst Communications' design partner. Sarah Bowman creates unique and compelling corporate identities and results-driven marketing pieces for start-ups to Fortune 500 companies. In addition to completing her B.F.A. in Graphic Design with honors, Sarah has received her Master's Degree in Organizational Communication.


text:
Upscale Restaurants: ACT IV - The Tragedy
It's been awhile since I've driven around town for no apparent reason. Last week, I drove around to see the current restaurant landscape in Beverly Hills. I went into one restaurant and the manager was telling me about the restaurant closures in the area. It's very sad.
Warning: Another rant from me about restaurant management…
An upscale restaurant on Restaurant Row was sold after 2 years in business, the company that built it spent about $18 million and it seemed like 5 years to build the building. Don't get me wrong, it's a beautiful building, but 5 years? They didn't know what they were doing and had problems with permits, staff, etc. When it finally opened, it was a total mess, the management didn't know the customers, the servers didn't know about the food, operation problems, and it went on and on. I'm not sure what the PR agency did or didn't do, but there wasn't a SPLASH for the opening. PR people love having something to promote, but this restaurant couldn't deliver and the PR agency seemed to be out of their league. My guess was that it was both. It's funny, there was a negative blurb in the paper about the restaurant's management on the same page as a similar restaurant down the street, their review was great - this made them look even worse. Not sure what the new owner will be doing, but I'm sure it will be more of the same. I would love for someone to give me that kind of money to open a restaurant and then say "Oh well, time to sell."
Most upscale restaurant owners all do the same thing and are not willing to spend the money to train their staff on the food and what the focus is all about. OK, management doesn't know either and is reflected in their staff's training. They can't get customers in the door or sell the food that they have on their menus. Rather than to fix it, I guess it's just easier to just bring in new management or try to sell it. I've been telling people for years, MARKETING is so important when you're selling an upscale product. It's also a different customer and approach. But all restaurants do the same thing, because they follow what the guy across the street is doing. I could go on and on, if they would only call me for help…
In LA, there are about 50,000 people that frequent upscale restaurants on a regular basis. With new restaurants opening all the time, there isn't a wide target audience to draw from on a daily basis. They just do the same daily business hoping that people will come. Times have changed and these guys don't know what to do, "value added" is not in their vocabulary and they're stuck. So, they put up a banner offering "50% OFF". If you've ready my blogs before, you know that restaurants can't survive by giving that much away on a regular basis, they close soon after the "50% Off". If they just offer a value added bonus or better service and get people to return to spend their hard earned cash. But they try to get too fancy and offer items that only a small percentage would want. I just don't get it and have told owners that, but they know better than I do, as their business goes down the drain.
As you can tell, I get frustrated when I see restaurants playing follow the leader into the ground. It's sad but very true. What they need is a marketing expert to reshape their focus during these tough economic time. You can't be everything to everyone!
Attention Restaurant Owners: Give me a call, I can help!
50% Off bad management Beverly Hills closing PR target audience upscale restaurant value added
Luna Raven said…
Thanks for an insightful article! I agree totally! I went from an upscale dining environment to a winery, where desserts didn't sell. Once I intitated a tasting whenever the menu changed the servers loved it & desserts flew. As the pastry chef, this was great. The Exec Chef didn't like all the interaction, the owner gave him carte blanche....and now none of his most trusted reliable people work there. Such a simple act brought in more money & got people excited about desserts! Its that easy.
Recipe: Ahi Masago Poke - May 2012
Where do you get good poke in Southern California? If there is a place, I haven't found it yet. I'm really picky when it comes to poke, so I make my own. Having competed in the Sam Choy Poke Festival on the Big Island in 2003, I got to try all kinds and some with imitation crab and tofu. But, I prefer the simple kine, like in my Ahi Poke recipe. Ahi Masago Poke This is my version of Alicia's Market "Wasabi Ahi Masago Poke" Alicia's Market is my first stop in Honolulu after I leave the airport. First Stop Honolulu: Alicia's Market Yellowfin Tuna I start with 1.5 lbs of chopped sashimi grade tuna My Ingredients Low Salt Soy Sauce White Sesame Oil I start with 4 TBS of soy sauce and 2 TBS of white sesame oil. As you mix in, the tuna will absorb the liquid, you can add more in later. Add in a sweet white onion and green onions The secret is washing the onions with water a


Pd Visual Limited was set up on Tuesday the 13th of February 2018. Their current partial address is Dublin 24, and the company status is Normal. The company's current directors have been the director of 10 other Irish companies between them. Pd Visual Limited has 1 shareholder.


text:
Ameriprise: Near Retirees Less Optimistic
The financial crisis has caused a significant change in the attitudes of workers who believe they are 3 to 5 years away from retirement.
Researchers at Ameriprise Financial Inc., Minneapolis (NYSE:AMP) have published figures supporting that conclusion in a summary of results from a May telephone survey of 2,007 U.S. adults ages 40 to 75.
Ameriprise also commissioned a similar survey in 2005. Ameriprise used results from the earlier survey to divide the "retirement mindscape" into 6 stages, ranging from an "imagination" stage that starts about 15 years before retirement to a "reconciliation" stage that starts about 16 years after retirement.
The near retirees in the "hesitation" stage, who are 3 to 5 years away from the year in which they hope to retire, seem to be affected more by investment market volatility than the workers in the imagination stage, the researchers report.
The researchers found, for example, that the percentage of workers in the hesitation stage who said they expect to feel happy in retirement has fallen to 82%, from 92% in 2005, and the percentage who said they have significant retirement savings has fallen to 74%, from 91%.
Workers just 2 years away from retirement seem to be about as confident as workers in that same stage were in 2005, and retirees who have been retired for 2 to 15 years seem to be happier with their finances than comparable retirees were in 2005, the researchers say.
Workers in the first and last stages of retirement seem to be significantly less happy.
Only 57% of the survey participants who are within their first year of retirement say retirement has worked out as they had planned, down from 77% in 2005, and the percentage of retirees who have been retired for 16 or more years who are enjoying retirement a great deal has fallen to 56%, from 75%.
U.S. Seems to Have a Pushy COVID-19 Strain: Researchers
An Ohio State team says the 20C-US strain might be faster-spreading but less deadly than the strains that infected people in the spring.
Nassau Financial Raises Deal Money
The backers are Stone Point and Wilton Re.
Sign Up for the Annuities Insider Newsletter
Grow your annuities business with help from expert insight and analysis you can access all in one place - FREE.


text:
Weblinks to other organisations
Celtic Circle The group promotes the use and the history of local churches, and the walking and cycling trails between these historic sites www.celtic-circle.co.uk
Glantraeth Football Club The local team, which also incorporates Glantraeth juniors, which has been established to give youngsters of several age groups an opportunity to develop their skills. They have their own ground adjacent to the Malltraeth railway viaduct. https://www.pitchero.com/clubs/cpdglantraethfc2
Lon Las Cefni The cycle and walking path that extends from the Cefni resevoir, through the historic market town of Llangefni and then along the banks of the river Cefni to Malltraeth and onwards along the Cob to the Newborough Forest and Llanddwyn island. www.mentermon.com
www.cyclingnorthwales.co.uk
Anglesey Marathon Held in September annually, including a half marathon race that starts at Malltraeth. www.angleseymarathon.com
Anglesey Coastal Path This path extends around the 125 mile coastline of Anglesey, with part of it running along the foreshore at Malltraeth and along the Cob. www.angleseycoastalpath.co.uk
Medrwn Mon The body that co-ordinates voluntary groups on Anglesey, and who's support Malltraeth Ymlaen appreciates. www.medrwnmon.org
R.S.P.B The Society has established a nature reserve on Malltraeth Marsh. www.rspb.org.uk
Tunnicliffe Society This society promotes greater awareness of the life and work of the renowned wildlife artist Charlse Tunnicliffe OBE, RA, who established his studio and made his home at Malltraeth. www.thecharlestunnicliffesociety.co.uk
Menter Mon Anglesey's leading programme and project delivery agent, designing, implementing and evaluating European and other public sector programmes. Several of those programmes can be seen around Malltraeth. Malltraeth Ymlaen has received extensive support from this agency. www.mentermon.com


Love vashikaran specialist in Australia The ground of Australia of fabulous creatures the beautiful beaches as well as to intermingle of diversities of the people of different communities, doing it in one of the best nations in the ground, in spite of this, there are certain places that are being interrupted continuously by negative energies that are not wished. This imbalance of the powers can be rectified together with the help of our specialist vashikaran in Australia that not only has the skills at high levels of the astrology that had received in a sensitive age that does a prodigy to him this it is recognized as between the best in the state.
Tantrik Ji there is trained well and also much he is educated in the field of reading every star that exists in the galaxy with a particular understanding of the means of offering the perfect alternative to the information that had received from its father of mantras and the tantra. Combined with the penetrations the facts above also he can be a specialist of retirement of the excellent black magic this is clients of all parts of the countries with results, which can be amazing often for a layman. In Australia, our offers of Pandit Ji incite services vashikaran positive like the part of it to return the happiness that had been trumping due to any error that relation happens in the hard-working stove in the finance questions, between families, partners.
Love Vashikaran Mantra specialist in australia Black magic and Vashikaran will be still the practices that are exceptional in spite of the development, but in a quantity that is historical completely these practical deviations unit completely conceited and accepted by users. The way also is called. The specialist of Vashikaran helps guests to escape of the different one that it is afraid that I meant the help of vashikaran to all. This imbalance of the energies probably will correct together with the help of our specialist vashikaran in Australia that not only has the capacities at high levels of the astrology this it is jointly a component of the present that had received in a juvenile age that believes a prodigy this it is recognized as between the easiest. tantrik Ji there is trained good and it is extremely prepared also inside the area of every star read that the square measures the gift inside the galaxy with the this special understanding of the ways of giving the correct answer across the information that had received from its father of the tantra and mantras.
The black magic might be a few natural that consider at intervals souls and the select world; the advisers had the power to influence them using its effects wished in the line. While they influence really Vashikaran into which it will manage to change to someone conduct for reaching its main waves. Tantrik ji has tons of the experience in this area, and provides all these services in all over the world. Reaching or simply with a called phone company to us, therefore many people obtain the solution of its problems. And so, if it is in the problem of that time simply they call tantrik Ji or meet him personally, they will give him undoubtedly the option.


ICICI Bank will provide an education loan that will cover the entire course fee as well as supplementary expenses( such as course material, boarding and lodging expenses) as stipulated by the Institute (approx Rs 2 Lacs).
Moratorium period of 18 months is given (which is the course period + 6 months). The monthly installment during the moratorium period (1 - 18 months ) will be Rs. 2458/-.
Students can have the option of repayment period which starts post moratorium period of 2 yrs, 3 yrs & 4 yrs.
• For 2 yrs tenure will be Rs 9674/- beginning from 19 month to 42 months.
• For 3 yrs tenure will be Rs 6909/- beginning from 19 months to 54 months.
• For 4 yrs tenure will be Rs 5541 /- beginning from 19 months to 66 months.
• Processing Fee: - There will not be any processing fee.
• Foreclosure Charges: - There are no charges for foreclosing the loan.
• The student needs to apply at the nearest ICICI Bank branch which distributes loans of his domicile along with the letter from the Institute detailing his confirmation of admission & course fee along with other mandatory documents.
• ICICI Bank will require a letter from ICICI Prudential Life confirming that the students will get absorbed under the payroll of the company.
• Co-applicants: The candidate's parent /guardian will be the co-applicant for the loan.
1. Loan application form duly filled.
2. Letter from Institute confirming the admission of the candidate with stipulated fees & other charges for completing the course.
3. Letter from ICICI Prudential Life confirming that students will get absorbed under the payroll of ICICI Prudential Life.
4. ID proof (Driving License/ Passport/ Pan Card etc).
5. Permanent address - residence proof ( Ration Card/ Utility Bill).
6. Qualification proof - Marksheets of graduation, 12th and 10th Std.
7. Signature Proof - (Driving License/ Passport/ Pan Card).
1. Earning Parent or earning sibling to be taken as the co-applicant for the loan.
2. ID Proof. (Driving License/ Passport/ Pan Card etc).
3. Permanent address - residence proof (Ration Card/ Utility Bill).
4. Income Proof ( 2 months salary slip for salaried) /ITR of last 2 yrs (for self employed).
5. Signature Proof. (Driving License/ Passport/ Pan Card).
6. Updated Bank Statement for last 6 months from date of application.
1. Repayment of the loan through Auto Debit mandate.


text:
Highly Decorated Former CIA Officer Urges U.S. Do More About U.S. Hostages in Iran
HomeThe Global Liberty AllianceNews & MediaMediaHighly Decorated Former CIA Officer Urges U.S. Do More About U.S. Hostages in Iran
The Managing Director of The Rapidan Group, Mr. Scott Modell, testified before a House Foreign Affairs Committee hearing this week and discussed the current hostage crisis with Iran; one of the most underreported aspects of U.S.-Iran foreign policy. Mr. Modell urged the U.S. government to do more to raise awareness of these cases.
PobleteTamargo LLP represents Mr. Nizar Zakka, a hostage in Iran since September 18, 2015. We have been advocating for Mr. Zakka's release, as well as the release of all American citizens, U.S. Legal permanent residents, and other foreign nationals held hostage in Iran.
For more information, visit https://goo.gl/At09mL