text:
\section{Introduction}

In classical one-dimensional scattering theory the transmission coefficient can be reconstructed from
the reflection coefficient via the well-known Poisson--Jensen formula. This formula plays a crucial
role in inverse scattering theory since it shows how to compute the left scattering data from the right one
and vice versa. Moreover, it is also one of the key ingredients for deriving the associated
sum rules  which have attracted an enormous amount of interest recently (see e.g.\ \cite{ks},
\cite{lns}, \cite{npy}, \cite{sizl}, \cite{zl}). Furthermore, these sum rules are intimately connected with
conserved quantities of the associated completely integrable lattices (see \cite{tist}, \cite{tjac}).
Finally, the reconstruction formula can be viewed as the solution of a scalar Riemann--Hilbert factorization
problem which arises in the nonlinear steepest decent method \cite{dz} when deriving
the long-time asymptotics (see \cite{km}, \cite{krt}, respectively \cite{krt2}).

Moreover, the same is true in case of scattering with respect to a finite-gap background \cite{emt}, \cite{voyu}.
In this situation the analogous formula was given in \cite{tag} including the associated sum rules (see also
\cite{emt2}, \cite{emt4}, \cite{mt}). Again there is a close relation with the solution of a scalar Riemann--Hilbert
factorization problem on the underlying Riemann surface which arises in the nonlinear steepest decent method
\cite{kt}, \cite{kt2}, \cite{kt3}, and \cite{krt3}.

However, while scattering theory with a steplike constant background is classical and goes back to the early sixties
\cite{bf} (see \cite{bet} for the most recent results), even in this case the reconstruction formula is unknown to the
best of our knowledge except for the case when the two spectra overlap. This might be related to the fact that the
case where the two spectra do not overlap will not be solved in terms of elementary methods, but will already
require tools from the theory of elliptic surfaces, as we will see below. In case of steplike finite-gap backgrounds,
scattering theory is again well-understood by now \cite{emt3}, \cite{emt5}, however, the reconstruction formula is
again unknown to the best of our knowledge (except for the case of two finite-gap backgrounds in the same isospectral
class \cite{emt3}). The main purpose of our paper is to fill this gap and provide a reconstruction formula for the left/right
transmission coefficient in terms of the left/right scattering data.

\section{Notation}
\label{sec:Not}

We begin by introducing some required background from the theory of hyperelliptic curves
to be used in the remainder of this article. For further information and proofs we refer for instance
to \cite{ak}, \cite{bght}, \cite{fk}, \cite{ghmt}, or \cite{tjac}.

Let ${\mathbb M}$ be the Riemann surface associated with the function $\Rg{z}$,
where
\begin{equation}
P(z) = \prod_{j=0}^{2g+1} (z-E_j), \qquad E_0 < E_1 < \cdots < E_{2g+1},
\end{equation}
$g\in {\mathbb N}$. ${\mathbb M}$ is a compact, hyperelliptic Riemann surface of genus $g$.
We will choose $\Rg{z}$ as the fixed branch
\begin{equation}
\Rg{z} = -\prod_{j=0}^{2g+1} \sqrt{z-E_j},
\end{equation}
where $\sqrt{.}$ is the standard root with branch cut along $(-\infty,0)$.

A point on ${\mathbb M}$ is denoted by $p = (z, \pm \Rg{z}) = (z, \pm)$, $z \in {\mathbb C}$.
The two points at infinity are denoted by $p = \infty_{\pm}$.
We use $\pi(p) = z$ for the projection onto the extended complex plane
${\mathbb C} \cup \{\infty\}$.  The points $\{(E_{j}, 0), 0 \leq j \leq 2 g+1\} \subseteq {\mathbb M}$ are
called branch points and the sets
\begin{equation}
\Pi_{\pm} = \{ (z, \pm \Rg{z}) \mid z \in {\mathbb C}\backslash \Sigma\} \subset {\mathbb M},
\qquad \Sigma= \bigcup_{j=0}^g[E_{2j}, E_{2j+1}],
\end{equation}
are called upper and lower sheet, respectively. Note that the boundary of
$\Pi_\pm$ consists of two copies of $\Sigma$ corresponding to the
two limits from the upper and lower half plane.

Let $\{a_j, b_j\}_{j=1}^g$ be loops on the Riemann surface ${\mathbb M}$ representing the
canonical generators of the fundamental group $\pi_1({\mathbb M})$. We require
$a_j$ to surround the points $E_{2j-1}$, $E_{2j}$ (thereby changing sheets
twice) and $b_j$ to surround $E_0$, $E_{2j-1}$ counter-clockwise on the
upper sheet, with pairwise intersection indices given by
\begin{equation}
a_j \circ a_k= b_j \circ b_k = 0, \qquad a_j \circ b_k = \delta_{jk},
\qquad 1 \leq j, k \leq g.
\end{equation}
The corresponding canonical basis $\{\zeta_j\}_{j=1}^g$ for the space of
holomorphic differentials can be constructed by
\begin{equation}
\underline{\zeta} = \sum_{j=1}^g \underline{c}(j)
\frac{\pi^{j-1}d\pi}{P^{1/2}},
\end{equation}
where the constants $\underline{c}(.)$ are given by
\[
c_j(k) = C_{jk}^{-1}, \qquad
C_{jk} = \int_{a_k} \frac{\pi^{j-1}d\pi}{P^{1/2}} =
2 \int_{E_{2k-1}}^{E_{2k}} \frac{z^{j-1}dz}{\Rg{z}} \in{\mathbb R}.
\]
The differentials fulfill
\begin{equation}
\int_{a_j} \zeta_k = \delta_{j,k}, \qquad \int_{b_j} \zeta_k = \tau_{j,k},
\qquad \tau_{j,k} = \tau_{k, j}, \qquad 1 \leq j, k \leq g.
\end{equation}
For further information we refer to \cite{fk}, \cite[App.~A]{tjac}.

In addition, we will need Green's function (in the potential theoretic sense) of the upper
sheet $\Pi_+$:

\begin{lemma}[\cite{tag}]
The Green function of $\Pi_+$ with pole at $z_0$ is given by
\begin{equation}
g(z,z_0) = - \mathrm{Re} \int_{E_0}^p \omega_{p_0 \tilde{p}_0}, \quad p=(z,+),\: p_0=(z_0,+),
\end{equation}
where $\tilde{p}_0= \overline{p_0}^*$ (i.e., the complex conjugate on the other sheet)
and  $\omega_{p q}$ is the normalized Abelian differential of the third kind with poles
at $p$ and $q$.
\end{lemma}

Clearly, we can extend $g(z,z_0)$ to a holomorphic function on ${\mathbb M}\backslash\{p_0\}$
by dropping the real part. By abuse of notation we will denote this function by
$g(p,p_0)$ as well. However, note that $g(p,p_0)$ will be multivalued with
jumps in the imaginary part across $b$-cycles. We will choose the path
of integration in ${\mathbb C}\backslash[E_0,E_{2g+1}]$ to guarantee a single-valued
function.

From the Green function we obtain the Blaschke factor (cf.\ \cite{tag})
\begin{equation}
B(p,\rho)= \exp \Big( g(p,\rho) \Big) = \exp\Big(\int_{E_0}^p \omega_{\rho \rho^*}\Big),
\qquad \pi(\rho)\in{\mathbb R},
\end{equation}
which has the following properties:

\begin{lemma}\label{lem:blaschke}
The Blaschke factor satisfies
\begin{equation}
B(E_0,\rho)=1, \quad\mbox{and}\quad
B(p^*,\rho) = B(p,\rho^*) = B(p,\rho)^{-1};
\end{equation}
it is real-valued for $\pi(p)\in(-\infty,E_0)$.

Moreover,
\begin{equation}
|B(p,\rho)|=1, \quad p \in \Sigma, \qquad
\arg(B(p,\rho)) = \delta_j(\rho), \qquad \pi(p)\in[E_{2j-1},E_{2j}],
\end{equation}
where we set $E_{-1}=-\infty$, $E_{2g+2}=\infty$ and
\begin{equation}
\delta_j(\rho) = \begin{cases}
0, & j=0,\\
\frac{1}{2} \int_{b_j} \omega_{\rho \rho^*}, & j=1,\dots,g,\\
0, & j=g+1.
\end{cases}
\end{equation}
\end{lemma}

\begin{proof}
The first part including the fact that $|B(p,\rho)|=1$, $p \in \Sigma$, is proven in \cite[Lem.~3.3]{tag}.
To see the formula for the argument first observe that $\omega_{\rho \rho^*}$ is
real-valued on $\pi^{-1}({\mathbb R}\backslash\Sigma)$ and purely imaginary on $\pi^{-1}(\Sigma)$. This
can be seen from the explicit expression (\ref{ompps}) for $\omega_{\rho \rho^*}$ given below.
Hence, taking the path of integration along the lift of the real axis, we see that
the integral is real for $p=(\lambda,\pm)$ with $\lambda<E_0$ or $\lambda>E_{2g+1}$. For
$p=(\lambda,\pm)$ with $\lambda\in[E_{2j-1},E_{2j}]$ the imaginary part is constant and given by
half the $b_j$ period.
\end{proof}

The above Abelian differential is explicitly given by
\begin{equation}
\omega_{p q} = \left( \frac{P^{1/2} + \Rg{p}}{2(\pi - \pi(p))} -
\frac{P^{1/2} + \Rg{q}}{2(\pi - \pi(q))} + P_{p q}(\pi) \right)
\frac{d\pi}{P^{1/2}},
\end{equation}
where $P_{p q}(z)$ is a polynomial of degree $g-1$ which has to be determined from
the normalization $\int_{a_\ell} \omega_{p p^*}=0$. In particular,
\begin{equation}\label{ompps}
\omega_{p p^*} = \left( \frac{\Rg{p}}{\pi - \pi(p)} + P_{p p^*}(\pi) \right)
\frac{d\pi}{P^{1/2}}.
\end{equation}

\section{Reconstructing the transmission coefficient}

Let $H_q^\pm$ be two quasi-periodic finite-band Jacobi operators,\footnote{Everywhere in this
paper the sub or super index "$+$" (resp.\ "$-$") refers to the background on the right
(resp.\ left) half-axis.}
\begin{equation}
H_q^\pm f(n) = a_q^\pm(n) f(n+1) + a_q^\pm(n-1) f(n-1) + b_q^\pm(n) f(n),
\quad f\in\ell^2({\mathbb Z}),
\end{equation}
associated with the hyperelliptic Riemann surface of the square root
\begin{equation}\label{defP}
P_\pm^{1/2}(z)= -\prod_{j=0}^{2g_\pm+1} \sqrt{z-E_j^\pm}, \qquad
E_0^\pm < E_1^\pm < \cdots < E_{2g_\pm+1}^\pm,
\end{equation}
where $g_\pm\in {\mathbb N}$ and $\sqrt{.}$ is the standard root with branch
cut along $(-\infty,0)$. In fact, $H_q^\pm$ are uniquely determined by
fixing a Dirichlet divisor $\sum_{j=1}^{g^\pm} \hat\mu_j^\pm$, where
$ \hat\mu_j^\pm=(\mu_j^\pm, \sigma_j^\pm)$ with
$\mu_j^\pm\in[E_{2j-1}^\pm,E_{2j}^\pm]$ and $\sigma_j^\pm\in\{-1, 1\}$.
The spectra of $H_q^\pm$ consist of $g_\pm+1$ bands
\begin{equation} \label{0.1}
\sigma_\pm:=\sigma(H_q^\pm) = \bigcup_{j=0}^{g_\pm}
[E_{2j}^\pm,E_{2j+1}^\pm].
\end{equation}
We are interested in scattering theory for the operator
\begin{equation} \label{0.2}
H f(n)=a(n-1) f(n-1) + b(n) f(n)+ a(n) f(n+1), \quad n\in{\mathbb Z},
\end{equation}
whose coefficients are asymptotically close to the
coefficients of $H_q^\pm$ on the corresponding half-axes:
\begin{equation} \label{hypo}
\sum_{n = 0}^{\pm \infty} |n| \Big(|a(n) -
a_q^\pm(n)| + |b(n) - b_q^\pm(n)| \Big) < \infty.
\end{equation}
Let $\psi_q^\pm(z,n)$ be the Floquet solutions of the spectral equations
\begin{equation}\label{0.12}
H_q^\pm \psi(n)=z \psi(n), \qquad z\in{\mathbb C},
\end{equation}
that decay for $z\in{\mathbb C}\setminus\sigma_\pm$ as $n\to \pm\infty$.
They are uniquely defined by the condition $\psi_q^\pm(z,0)=1$,
$\psi_q^\pm(z,\cdot)\in\ell^2({\mathbb Z}_\pm)$. The solution $\psi_q^+(z,n)$
(resp.\ $\psi_q^-(z,n)$)  coincides with the upper (resp.\ lower)
branch of the Baker--Akhiezer functions of $H_q^+$ (resp.\ $H_q^-$),
see \cite{tjac}.

The two solutions $\psi_\pm(z,n)$ of the spectral
equation
\begin{equation} \label{0.11}
H \psi = z \psi, \quad z\in{\mathbb C},
\end{equation}
which are asymptotically close to the Floquet solutions $\psi_q^\pm(z,n)$ of the background
equations (\ref{0.12}) as $n\to\pm\infty$, are called Jost solutions.

Next, we introduce the sets
\begin{equation}
\sigma^{(2)}=\sigma_+\cap\sigma_-, \quad
\sigma_\pm^{(1)}=\overline{\sigma_\pm\setminus\sigma^{(2)}}, \quad
\sigma=\sigma_+\cup\sigma_-,
\end{equation}
where $\sigma$ is the (absolutely) continuous
spectrum of $H$ and $\sigma_+^{(1)}\cup \sigma_-^{(1)}$, $\sigma^{(2)}$ are the parts which are of multiplicity
one, two, respectively.

In addition to the continuous part, $H$ has a finite number of
eigenvalues situated in the gaps, $\sigma_d=\{\lambda_1,...,\lambda_s\} \subset {\mathbb R} \setminus \sigma$
(see, e.g., \cite{tosc}).
For every eigenvalue we introduce the corresponding norming constants
\begin{equation}
\gamma_{\pm, k}^{-1}=\sum_{n \in{\mathbb Z}} |\psi_\pm(\lambda_k, n)|^2, \quad 1 \leq k \leq s.
\end{equation}
Note that this definition has to be slightly modified in the unlikely event that $\psi_q^\pm(z, n)$ and
hence $\psi_\pm(z, n)$ has a pole at $z=\lambda_k$ (see \cite{emt5} for details).
The transmission and reflection coefficients are defined as usual via the scattering relations
\begin{equation}
T_\mp(\lambda) \psi_\pm(\lambda,n) = \overline{\psi_\mp(\lambda,n)} + R_\mp(\lambda)\psi_\mp(\lambda,n),
\quad\lambda\in\sigma_\mp.
\end{equation}
Here the values of $\psi_\pm(\lambda,n)$ for $\lambda\in\sigma_\pm$ are to be understood as limits from above
$\psi_\pm(\lambda,n) = \lim_{\varepsilon\downarrow 0} \psi_\pm(\lambda+\mathrm{i}\varepsilon,n)$ (the corresponding limits from
below just give the complex conjugate values $\overline{\psi_\pm(\lambda,n)} = \lim_{\varepsilon\downarrow 0}
\psi_\pm(\lambda-\mathrm{i}\varepsilon,n)$).

The following result is an immediate consequence of \cite[Lem.~5.1]{emt5}.

\begin{theorem}[\cite{emt5}]
Suppose $a(n)$, $b(n)$ satisfy \eqref{0.2}, then $a(n)$, $b(n)$ are uniquely determined by
one of the sets of its ``partial" scattering data ${\mathcal S}_+$ or ${\mathcal S}_-$, where
\begin{align}\nonumber
\mathcal{S}_\pm = \Big\{ & R_\pm(\lambda),\, \lambda\in\sigma_\pm; \,
|T_\pm(\lambda)|^2,\, \lambda\in\sigma_\mp^{(1)};\\
& \lambda_1,\dots,\lambda_s\in{\mathbb R}\setminus (\sigma_+\cup\sigma_-),\,
\gamma_{\pm,1},\dots,\gamma_{\pm,s}\in{\mathbb R}_+\Big\}.
\end{align}
\end{theorem}

This leads to the natural question if there is a simple way to compute $\mathcal{S}_+$
from $\mathcal{S}_-$ and vice versa (i.e., without solving the inverse scattering problem).
It turns out that this question reduces to the reconstruction of the transmission coefficient
$T_\pm(z)$ from $\mathcal{S}_\pm$. In fact, this follows from the following lemma.

\begin{lemma}[\cite{emt5}]
The transmission coefficients $T_\pm(z)$ admit a meromorphic extension to ${\mathbb C}\backslash\sigma$.
In general they have simple poles at the eigenvalues $\lambda_k$ of $H$.
In addition, there are simple poles at $\mu_j^\pm \in {\mathbb R}\backslash\sigma_\pm$ which
are not poles of $\psi_q^\pm(z,1)$ (i.e., $\sigma^\pm_j = \mp 1$) and simple
zeros at $\mu_j^\mp\in {\mathbb R}\backslash\sigma_\mp$ which are poles of $\psi_q^\mp(z,1)$ (i.e., $\sigma^\mp_j = \mp 1$).
A pole at $\mu_j^\pm$ could cancel with a zero at $\mu_j^\mp$ or could give a second order pole if
$\mu_j^\pm=\lambda_k$.

Moreover, the entries of the scattering matrix have the following properties:
\[
\begin{array}{lcl}
{\bf (a)} & \rho_+(z) T_+(z) = \rho_-(z) T_-(z),\\
{\bf (b)}&\displaystyle{\frac{T_\pm(\lambda)}{\overline{T_\pm(\lambda)}}} = R_\pm(\lambda),&
\lambda\in\sigma_\pm^{(1)},\nonumber\\
{\bf (c)}& 1 - |R_\pm(\lambda)|^2 =
\displaystyle{\frac{\rho_\pm(\lambda)}{\rho_\mp(\lambda)}}\,|T_\pm(\lambda)|^2,&\lambda\in\sigma^{(2)},\\
{\bf (d)}&\overline{R_\pm(\lambda)}T_\pm(\lambda) +
R_\mp(\lambda)\overline{T_\pm(\lambda)}=0,& \lambda\in\sigma^{(2)},
\end{array}
\]
where
\begin{equation}
\rho_\pm(z)=\frac{\prod_{j=1}^{g_\pm}(z-\mu_j^\pm)}{ P_\pm^{1/2}(z)}.
\end{equation}
\end{lemma}

Hence, the problem is to reconstruct the meromorphic function $T_+(z)$, $z\in{\mathbb C}\backslash\sigma$ from its boundary
values
\begin{equation}
\begin{cases}
|T_+(\lambda)|^2, & \lambda\in\sigma_-^{(1)},\\
|T_+(\lambda)|^2 = \frac{\rho_-(\lambda)}{\rho_+(\lambda)} (1 - |R_+(\lambda)|^2), & \lambda\in\sigma^{(2)},\\
\displaystyle\frac{T_+(\lambda)}{\overline{T_+(\lambda)}} = R_+(\lambda), & \lambda\in \sigma_+^{(1)}.
\end{cases}
\end{equation}
That is, we know its absolute value on $\sigma_-$ and its argument on the rest $\sigma_+^{(1)}$. There will be
three Riemann surfaces involved, the one corresponding to $\sigma=\sigma_+\cup\sigma_-$ and the ones corresponding to
$\sigma_\pm$. All objects corresponding to $\sigma$ will be denoted as in Section~\ref{sec:Not}, while the objects
associated with $\sigma_\pm$ will have an additional $\pm$ sub/supscript.

\begin{theorem}
The transmission coefficient $T_+(z)$ can be reconstructed from the reflection
coefficient $R_+(z)$ and the eigenvalues $\lambda_j$ via
\begin{align}\nonumber
T_+(z) = & \Bigg( \prod_{\mu_j^-\in M^-} B_-(z,\mu^-_j) \Bigg) \Bigg( \prod_{\mu_j^+\in M^+} B_-(z,\mu^+_j)^{-1} \Bigg)
\Bigg( \prod_{k=1}^s B_-(z,\lambda_k)^{-1} \Bigg) \times\\
& \exp\Bigg(\frac{Q(z)^{-1}}{\pi \mathrm{i}} \int_{\sigma_-^{(1)}}  Q \log(|T_+|) \omega_{z z^*}\\ \nonumber
& + \frac{Q(z)^{-1}}{2\pi \mathrm{i}} \int_{\sigma^{(2)}}  Q\, \big( \log\big(\frac{\rho_-}{\rho_+}\big) +\log (1 - |R_+|^2)\big) \omega_{z z^*} \\
& + \frac{Q(z)^{-1}}{2\pi} \int_{\sigma_+^{(1)}} Q\, \big(\arg(R_+) + \delta^-\big) \omega_{z z^*} \Bigg),
\end{align}
where the integrals are taken over the lift of the indicated spectra to the upper sheet $\Pi_u$ (of the Riemann surface associated
with $\sigma$). Moreover, we use the convention that we identify $z$ with $(z,+)$, and similarly for $\lambda_k$, $\mu^\pm_j$, whenever used
in the argument of a function defined on a Riemann surface. Here
\begin{equation}
M^\pm = \{\mu_j^\pm \,|\, \mu_j^\pm\in{\mathbb R}\setminus\sigma \mbox{ and } \sigma_j^\pm=-1 \},
\end{equation}
\begin{equation}
Q(z) = \prod_j \sqrt{z-e_j}, \quad\text{where $e_j$ are defined via}\quad \bigcup_j [e_{2j},e_{2j+1}] = \sigma_+^{(1)},
\end{equation}
and
\begin{equation}
\delta^-(\lambda)= \sum_\ell \delta^-_\ell \chi_{[E_{2\ell-1}^-,E_{2\ell}^-]}(\lambda)
\end{equation}
with (cf.\ Lemma~\ref{lem:blaschke})
\begin{equation}
\delta^-_\ell = - \sum_{\mu_j^-\in M^-} \delta^-_\ell(\mu^-_j) + \sum_{\mu_j^+\in M^+} \delta^-_\ell(\mu^+_j) +
\sum_{k=1}^s \delta^-_\ell(\lambda_k).
\end{equation}
\end{theorem}

\begin{proof}
We start by considering the multivalued function
\begin{equation}
t_+(z) =
\Bigg( \prod_{\mu_j^-\in M^-} B_-(z,\mu^-_j)^{-1} \Bigg) \Bigg( \prod_{\mu_j^+\in M^+} B_-(z,\mu^+_j) \Bigg)
\Bigg( \prod_{k=1}^s B_-(z,\lambda_k) \Bigg) T_+(z)
\end{equation}
which has neither zeros nor poles on $\Pi_u$ and satisfies
\begin{equation}
\begin{cases}
|t_+(\lambda)|^2 = |T_+(\lambda)|^2, & \lambda\in\sigma_-,\\
\arg(t_+(\lambda)) = \arg(T_+(\lambda)) + \delta^-_\ell, & \lambda\in\sigma_+^{(1)} \cap [E_{2\ell-1}^-,E_{2\ell}^-].
\end{cases}
\end{equation}
Moreover, the absolute value of $t_+(z)$ is single-valued and hence its logarithm is a
harmonic function on $\Pi_u$ which can be reconstructed from its boundary values.
To accommodate the fact that we know its absolute value on $\sigma_-$ and its argument
on $\sigma_+^{(1)}$ we consider
\begin{equation}
Q(z) \log(t_+(z)).
\end{equation}
Note that since $t_+(z)$ might still have zeros and poles on $\sigma$, the function $\log(t_+(z))$ might have
logarithmic singularities on $\sigma$.

Since $Q(\lambda)$ is real-valued for $\lambda\in{\mathbb R}\backslash \sigma_+^{(1)}$ and purely imaginary for $\lambda\in\sigma_+^{(1)}$,
we infer that the real part of $Q(z) \log(t_+(z))$ is harmonic on $\Pi_u$ and can be reconstructed from
its boundary values
\begin{equation}
\mathrm{Re}\big(Q(\lambda) \log(t_+(\lambda))\big) = \begin{cases}
Q(\lambda) \log(|T_+(\lambda)|), & \lambda\in\sigma_-,\\
\mathrm{i} Q(\lambda) \big(\arg(T_+(\lambda)) + \delta^-_\ell\big), & \lambda\in\sigma_+^{(1)} \cap [E_{2\ell-1}^-,E_{2\ell}^-],
\end{cases}
\end{equation}
using Green's function:
\begin{align}\nonumber
\mathrm{Re}\big(Q(z) \log(t_+(z))\big) = &\mathrm{Re}\Bigg(\frac{1}{\pi \mathrm{i}} \int_{\sigma_-}  Q \log(|T_+|) \omega_{z z^*}\\
&  + \frac{1}{\pi} \int_{\sigma_+^{(1)}} Q \big(\arg(T_+) + \delta^-\big) \omega_{z z^*} \Bigg).
\end{align}
Dropping the real part we get
\begin{align}\nonumber
T_+(z) = & \Bigg( \prod_{\mu_j^-\in M^-} B_-(z,\mu^-_j) \Bigg) \Bigg( \prod_{\mu_j^+\in M^+} B_-(z,\mu^+_j)^{-1} \Bigg)
\Bigg( \prod_{k=1}^s B_-(z,\lambda_k)^{-1} \Bigg) \times\\
& \exp\Bigg(\frac{Q(z)^{-1}}{\pi \mathrm{i}} \int_{\sigma_-}  Q \log(|T_+|) \omega_{z z^*}
 + \frac{Q(z)^{-1}}{\pi} \int_{\sigma_+^{(1)}} Q \big(\arg(T_+) + \delta^-\big) \omega_{z z^*} \Bigg).
\end{align}
In fact, by \cite[Thm.~1]{voza} both the left-hand and the right-hand side have the same absolute value and hence can only differ by a constant
with absolute value one (in particular, the right-hand side is single-valued since the left-hand side is). This  constant must be
one since both sides are real-valued for real-valued $z$ to the left of $\sigma$.
\end{proof}

\bigskip

\noindent{\bf Acknowledgments.} We want to thank Peter Yuditskii for helpful discussions.

redpajama_set_name: RedPajamaArXiv


text:
Ian M. Ross
Commercial Litigation and Disputes
Securities and Shareholder Litigation
iross@sidley.com
Miami +1 305 391 5218
Experience Experience
IAN ROSS represents clients in business disputes, commercial and securities litigation, government investigations, and class actions. He is ranked in Band 1 by Chambers USA in Securities Litigation (2022) and is also ranked in Commercial Litigation (2022), where he was described by clients as "a great communicator" who provides "excellent assessments of our positions."
Ian has extensive experience defending his clients in high-stakes commercial and securities litigation, nationwide class actions, shareholder derivative suits, breach of fiduciary actions, state securities actions, and government investigations. He has defended his clients through trial in cases involving challenging financial, corporate governance, and damages issues. He has prevailed on dispositive motions, defeated class certification, and successfully won appeals on novel issues of materiality, reliance, and causation under Florida law.
He writes frequently on emerging issues in securities and class action litigation, and his analysis has been featured in the Florida Bar Journal, the Journal of Health and Life Sciences Law, Law360, and the Daily Business Review. He also serves on the editorial board of the Enhanced Scrutiny blog, where the Sidley team provides timely updates and analysis on M&A and corporate governance matters from the Delaware courts.
Ian is ranked in Florida Legal Elite (2022) and Florida Super Lawyers (2022), and has been listed in The Legal 500, Florida Trend's "Legal Elite Up & Comers" (2020), and is an AV-Preeminent-rated lawyer by Martindale-Hubbell (2022).
Ian earned his B.A. with honors in Political Science at Johns Hopkins University before earning his J.D. cum laude from Duke University School of Law. While in law school, Ian was the Womble Scholarship recipient and the executive editor of the Duke Journal of Comparative and International Law.
In addition to his litigation experience, Ian has an active pro bono practice and has represented dozens of asylum seekers and refugees throughout the United States. In 2021, he received a Florida Legal Award for Social Impact for his representation of detainees and asylum seekers, and he has been recognized by Americans for Immigrant Justice as a "Pro Bono Hero."
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Represented a corporation in federal and state court, and established personal jurisdiction against a foreign manufacturer producing and selling drywall for American homes.*
Represented a medical physics company in suit against a former executive for violation of noncompete and non-solicitation agreements, misappropriation of trade secrets, and defamation, obtaining consent injunction against executive.*
Represented investment advisors and broker-dealers in professional liability and tort actions in federal court, state court, and in FINRA arbitrations relating to private placement securities and investment portfolio recommendations.*
Represented professional service and accounting firms in professional liability actions in federal and state court in matters involving complex accounting issues, including earnout accounting, revenue accounting, derivative accounting, and software capitalization.*
Financial and Securities Litigation
Represented corporations, directors and officers, and accounting firms in federal securities class actions and state securities actions brought by shareholders or former investors, including shareholder derivative actions, claims under state Blue Sky securities laws, and common law fraud and misrepresentation actions.*
Obtained summary judgment in state securities and fraud action brought by former officer relating to purported misrepresentations and omissions regarding preliminary merger negotiations. The ruling was affirmed on appeal.*
Represented a public company, its former officers, and private equity company in state securities action brought by an investor relating to purported misrepresentations made in connection with a multimillion dollar private placement.*
Represented a healthcare company in holding off four putative class actions challenging an announced merger of the client with another healthcare company. After expedited discovery, the parties came to agreement on a memorandum of understanding on a disclosure-based settlement that allowed the transaction to be completed, which was subsequently approved by shareholders.*
Held off a shareholder class action to enjoin a merger, allowing for the sale of an Israeli-based biopharmaceutical company focused on developing and commercializing longer-acting proprietary versions of already approved therapeutic proteins. Plaintiffs' claims were dismissed with prejudice.*
Represented former officer of national consulting firm in dismissal of shareholder derivative claims in federal court against corporation's officers and directors.*
Represented a Big Four accounting firm in dismissal of "holder" claims asserted by former shareholders of a consumer finance company.*
Class Action Litigation
Has served as lead counsel and represented national companies in more than 20 national class actions arising out of federal and state consumer protection statutes. Experience includes representing companies in a variety of industries, including retail, telecommunications, online retailing, food and beverage, sports and fitness, and home appliances.*
His successes include defeating class certification in national class action brought against sports and fitness company, prevailing on motions to dismiss on standing and jurisdictional issues, and winning dispositive motions and summary judgment rulings on issues around consent, preemption, and damages.*
Represented international retailer in TCPA class action where the district court judge granted summary judgment in defendants' favors after concluding that messages were not sent in violation of the TCPA.*
Successfully compelled arbitration of TCPA class action brought against national food and beverage company.*
Government Investigations.
Represented corporations, directors, officers, and accounting firms in investigations conducted by the Securities and Exchange Commission, Department of Justice, and in matters involving insider trading, allegations of misappropriation and fraud, internal control (SOX and SAS 70) audits, and financial restatements relating to complex accounting issues.*
Represented directors and officers in pre-suit investigation by the Federal Deposit Insurance Corporation.*
*The above matters were handled prior to joining Sidley.
Throughout his career, Ian has worked actively on pro bono matters, representing refugees seeking asylum in removal proceedings in immigration court. He has represented clients from Burundi, Kenya, Mexico, Venezuela, Honduras, and Russia, among others. He has been recognized by Americans for Immigrant Justice as a Pro Bono Hero.
Board Member, Americans for Immigrant Justice
Board Member, Read to a Child, South Florida, Regional Board
Member, Johns Hopkins University Second Decade Society
Member, Defense Research Institute
Member, Florida Bar Association Business Law Committee
Member, American Bar Association
Co-Chair, Litigation Committee (Young Lawyers Division), 2013-2014;
Vice-Chair, Business Law Committee (Young Lawyers Division), 2014-2015;
Co-Chair, Business Law Committee (Young Lawyers Division), 2015-2016); and
Member, Section of Litigation Pro Bono Task Force, 2017-2019.
Global Life Sciences
Consumer Products and Services Litigation
eDiscovery and Data Analytics
Professional Liability Litigation Against Accountants
Securities Litigation Against Accountants
U.S. District Court, N.D. of Florida
U.S. District Court, M.D. of Florida
U.S. District Court, S.D. of Florida
U.S. District Court, N.D. of Illinois - General
Duke University School of Law, J.D., 2005 (cum laude, Executive Editor of Duke Journal of Comparative and International Law, 2004-2005)
Johns Hopkins University, B.A., 2002 (with honors)
Email iross@sidley.com

redpajama_set_name: RedPajamaCommonCrawl


Pour 1 tbsp of butter in a pan and place over medium/low heat and melt the butter. Pour the sage leaves into the pan and stir fry until crispy. Finally, save the pan with the melted butter far from the heat and mince the sage leaves.
Lightly tenderize the meat with the smooth part of a tenderizer or the bottom of a glass. Reduce the veal into strips large 2 inches. Cut the Italian prosciutto into same size of veal strips. Pour the cornstarch on a board and Flour 1 single side of each veal stripes. Shake the meat to remove the cornstarch in excess. Now, season the other side with the minced sage and black pepper. Finally, cover the meat with prosciutto stripes and press lightly with your hands.
Re-heat the pan with melted butter over low flame. Add 1 tbsp of butter more. When the butter is completely melted, raise the flame to medium and cook 1 min veal scaloppini with prosciutto side on. Now, baste with white wine around the meat (not over), and cook 2 mins more. Finally, turn off the heat, cover with a lid and let veal scaloppini rest a couple of minutes before serving.
Veal scaloppini with prosciutto (Italian ham) and sage leaves, sauteed into butter are named "saltimbocca alla romana" in Rome. It's a must to try! Thin veal steaks are flavored with sage and black pepper, then dressed up with Italian prosciutto, and finally sauteed into the butter. A thin layer of cornstarch combined with white wine creates a creamy sauce, very tasty!


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Sign Our Petitions
Nature's Inspiration
Honoring Joe Cotchett at the 2019 Nature's Inspiration
March 11, 2019March 12, 2020Justyne Schnupp
We are very excited to announce that Green Foothills will be honoring the legendary Joe Cotchett at our 2019 Nature's Inspiration. Our master of ceremonies will be Congresswoman Jackie Speier.
Nature's Inspiration will take place on Sunday, September 22 from 1-4pm at Wickett Ranch in unincorporated Woodside. Featuring beautiful pastures, surrounded by old growth redwood trees, and overlooking the Pacific Ocean this will be a perfect place to honor Joe Cotchett.
A champion for justice with a passion for the coast
It is a perfect setting for our honoree Joe Cotchett who has been a champion for justice during his 50+ year legal career and a passionate supporter of the San Mateo Coast. As founder and senior partner of Cotchett, Pitre, & McCarthy LLP, Cotchett has built his legal career representing the underdog against powerful interests as well as providing generous pro bono work. In 2014, Cotchett and his firm represented Surfrider Foundation in the Martin's Beach coastal development case in San Mateo County Superior Court resulting in a Silicon Valley billionaire being ordered to reopen public access to the pristine beach. Green Foothills was also very engaged in this issue including Advocate Lennie Roberts providing expert opinion at the trial.
A Burlingame resident, Cotchett's deep love for the coast led to his co-authoring and publishing The Coast Time Forgot, a historic guide to the San Mateo County coast. Cotchett even served for many years as Governor Gray Davis' appointee to the State Park and Recreation Commission and served as its Chair.
An acclaimed trial lawyer who stands up for what's right
From civil rights to antitrust, Cotchett has earned a formidable reputation as one of the foremost trial lawyers and trial strategists in America. He has tried over 100 jury trials including a $3.8 billion jury verdict for 23,000 senior citizens in the Savings & Loan crisis. Cotchett has fearlessly stood up for what is right going back to his college days where he challenged segregation and successfully established the first integrated fraternity in 1958 on the Cal Poly-San Luis Obispo campus prompting other fraternities to follow suit. Cotchett received an Engineering Degree before attending UC Hastings Law School for his legal education and served as an officer in the U.S. Army Intelligence Corps and as a Special Forces paratrooper and JAG Corps officer, being awarded the Legion of Merit for his service.
Lately, Cotchett and his firm have taken on the Trump Administration representing the City of Richmond in Sanctuary City litigation and the City of San Jose in separate suits on Deferred Action for Childhood Arrivals (DACA) issues pending in the U.S. District Court in Northern California.
As an alumni of the University of California Hastings College of the Law, Cotchett advised the Class of 2018 at their Commencement Ceremony to "use your legal education for a higher purpose." For Cotchett, becoming a lawyer gives one the means to make a difference in people's lives.
Named one of the 100 most influential attorneys in the United States for 17 years running, Cotchett is an inductee into the national Trial Lawyer Hall of Fame and the State Bar of California's Trial Lawyer Hall of Fame. He has received many other awards including the Distinguished Service Award from the Judicial Council of California, the Lifetime Achievement Award from Consumer Watchdog, Trial Lawyer of the Year by Public Justice and Antitrust Lawyer of the Year by the Golden State Antitrust Institute.
We are very fortunate to honor Joe Cotchett for his lifetime of servitude for justice and dedication to preserving the San Mateo coastline. Please join us as we celebrate Committee for Green Foothills' 57 years legacy and Joe Cotchett on September 22!
More about Nature's Inspiration
Every year Committee for Green Foothills celebrates people who have dedicated their lives to protecting open space and connecting people to nature. Past honorees include Congresswoman Anna Eshoo, Congresswoman Jackie Speier, Congressman Pete McCloskey, California Coastal Commission chief Peter Douglas, and the famed musician Joan Baez.
Learn more about Nature's Inspiration
Renewal Through Creativity and Music
Roxana Franco: CALA Grad and Environmental Justice Leader
Alexii Sigona: CALA Grad and Advocate for His Tribe
Since 1962, Green Foothills has been protecting open space, farmland, and natural resources in San Mateo and Santa Clara Counties for the benefit of all through advocacy, education, and grassroots action.
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Discussions, whether in small or large groups, are one of the cornerstones of learning through engaging in scientific disciplinary practices. They provide opportunities for teachers to explore student understanding, and for students to co-construct physics principles from evidence-supported claims. However, it is not always obvious how to best facilitate these discussions in a way that supports students' epistemic agency. Oftentimes, the classroom settles into the convention that the teacher is the epistemic authority. This study explores teachers' and students' moves during consensus discussions within the Physics and Everyday Thinking (PET) curriculum. Teacher and student moves were analyzed for how they promote or constrain students' participation in dialogic discourse. We will discuss specific moves that supported and enhanced students' epistemic agency and authority, as well as moves that could constrain rich student conversations. Finally, we propose strategies based on this research for facilitating discussions and pitfalls teachers may want to avoid.


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Nolan Ryan Pummeled Robin Ventura on This Day in Baseball History
by Kyle Dalton on August 4, 2020
Nolan Ryan is recognized as the greatest power pitcher in MLB history with 5,714 strikeouts and seven no-hitters. Robin Ventura played 16 MLB seasons, which included two All-Star appearances. While baseball fans remember Ryan for his numerous legendary pitching performances, most recognize Ventura for a fight he had with Ryan during the 1993 season.
Here's a look back at the background of beanings between the Chicago White Sox and Texas Rangers, Ventura's fateful decision that hot summer night, how a one-sided fight ensued, and how all these years later, that's the topic people want to discuss with Ventura more than anything else.
Nolan Ryan and White Sox had beef for years
RELATED: The 5 Wildest Brawls in Sports History
It all started back in Spring Training in 1990. That's when a diminutive Craig Grebeck hit a home run for the White Sox, then celebrated a little too much for the liking of those in the Texas Rangers' dugout. Later that year, Grebeck stepped up to the plate against Ryan and used every bit of his 5-foot-7 160-pound frame to hit a drive deep and over the fence for his first career home run. Again, his celebration drew the ire of the Rangers.
A week later, the Rangers and White Sox met again. During Grebeck's first plate appearance, Ryan drilled Grebeck in the middle of the back. The first warning shot had been fired. Three innings later, the White Sox pitcher plunked Rangers third baseman Steve Beuchele.
A year later, the same two teams; same result. This time, Ryan hit Robin Ventura. Fast forward to 1993. On August 2, the beanball wars escalated. Rangers pitcher Roger Pavlik hit Chicago's Ron Karkovice. Later in that same game, Chicago pitchers hit Rangers slugger Dean Palmer twice, and Mario Diaz, once. Tensions escalated. Something had to give.
Nolan Ryan embarrasses Robin Ventura
RELATED: How Did Nolan Ryan Never Win a Cy Young Award?
On August 4, 1993, the 46-year-old Nolan Ryan, who was playing in his final season, faced a 26-year-old Robin Ventura in the first inning. Ventura laced an RBI single. In the bottom half of the second inning, Chicago's Alex Fernandez hit Rangers slugger Juan Gonzalez.
An inning later, Ventura stepped into the batter's box. On Ryan's first delivery, he went inside and drilled Ventura on the back of his right arm. The White Sox hitter took a couple of steps toward first base, then dropped his bat, took off his helmet, and charged toward Ryan, who was waiting.
When Ventura arrived, Ryan proceeded to put him in a headlock and delivered four shots to the top of Ventura's head as the two stumbled off the back of the mound. Ryan delivered an uppercut with his final punch to Ventura's face, and then the pair disappeared into a mass of humanity as both benches cleared. A minute into it and Ryan was on the bottom of the pile struggling to breathe. His rescue came from an unlikely source on the opposing team.
"All I remember is that I couldn't breathe," Ryan said in the book, Nolan Ryan: The Making of a Pitcher. "I thought I was going to black out and die, when all of a sudden I see two big arms tossing bodies off of me. It was Bo Jackson. He had come to my rescue, and I'm awful glad he did, because I was about to pass out. I called him that night and thanked him."
Why Robin Ventura can't escape the brawl
Just added this Topps Project 2020 Nolan Ryan card by Andrew Thiele #67 to my collection. #ToppsProject2020 @Topps @ArtekNYC pic.twitter.com/RIDWhUmhvq
— LA Fan (@ezav11) June 12, 2020
Years later, Robin Ventura can't get away from that night in 1993. Wherever he goes, inevitably, someone asks him a question about the brawl with Ryan.
"I think there might have been 500,000 people in the stadium when that happened because everyone says they were at that game," Ventura told CSNChicago.com. One person there was a young player in Paul Konerko, who would become a star for the White Sox years later and play for manager Robin Ventura. He said it's comical how often Ventura is asked about the incident.
"He makes a joke out of it. Whenever he's in a public setting, they have a pool going. How long is it going to take for the Ventura-Ryan fight to get brought up? He just knows that people are always going to say, what about Nolan Ryan?"
In 2020, Ventura has yet another reason to be reminded of the event 27 years ago. It's now included on the Topps Project 2020 Nolan Ryan card. The project, which combines iconic baseball cards with an elite group of modern artists, has a small rendering of Ryan in his Rangers jersey, leaning over and giving Ventura the business.
Although the baseball card captures the moment from that game in 1993, baseball fans have never forgotten what many consider to be one of the most entertaining brawls in MLB history. Just ask Robin Ventura.
Tags: Nolan Ryan Texas Rangers


Brookland will get its second shipping container residential project if the plans from Hinds Development and Travis Price Architects come to fruition. The partners plan to convert a building that was a Safeway grocery store in a former life into condos composed of shipping containers, UrbanTurf reports.
The latest project is planned for 1201 Franklin St., NE and marks the third such shipping container project planned or existing in the city.
We love smart design and modern materials, so these certainly caught our eye. Interested in these or other modern homes on the market? Contact us today.


Puma Ferrari SF Induction shoe. Comfortable slender fit with velcro closures for a snug fit. Carbon fiber gel heel for maximum support. Regular price $139.99... on sale for $69.99!!
Sparco Top Lamborghini Racing Shoes. Authentic Sparco racing product. Full leather upper, fire retardant and supportive rubber sole. Fully compliant with FIA standards, comfortable and complete with Lamborghini shield logo. Select sizes available. Call/ email for sizing availability.
Puma Ferrari SF team runners. Red with white and silver accents. Extremely comfortable with great foot support and cushioning. Special edition shoes. Multiple sizes available. Regular price $349.99... on sale for $174.99!!


It's great to see them promoting and celebrating great photography, i'm honoured that they allow me to write a few words and display some of my work amongst them. So please join me, if you will, and let's celebrate some great images.
Launched in March 2013, Pocketful of Rye is aimed at yummy mummies and dishy dads on the look out for news, features and reviews covering all things family - homewares, babycare, toys, entertainment, food, health and beauty. Think of us as the mum's guide to a happy home!
We're really fond of mums at Pocketful of Rye, and indeed, it's our belief that mum's are at the heart of the happiest homes. Imagine then, our reaction on seeing this chimp with her baby. If a photo is worth a thousand words, then those eyes really do speak volumes.
All mum's are protective and comfort their children, and it's striking to see this chimp's eye contact with the camera. One look pretty much says it all.
Why not take a few minutes here, and see what you can see.
Photo taken at Twycross Zoo by Stephen Curry.


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Hot Flashes - The Musical
Thirteen red hatters from four different chapters enjoyed a light supper before heading next door to the Portland Metro Performing Arts Center to see one of the most hilarious shows around - Hot Flashes - a show about aging, menopause, and, of course, the differences between "Mars and Venus." Some of the original songs included: "I Am Woman Hear Me Snore", "I Want A Trophy Husband", "Senior Moments", and "You're Never Too Old to Rock".
After the show, we had our pictures taken with the very talented cast. What a fun evening!


This is a guest post from Marshall Sponder, author of the newly released Social Media Analytics.
Recently, I was asked if Social Analytics sheds light on the nature of online events like the Netflix Outrage, which happened a few weeks ago as customers voiced extreme disappointment at Netflix for imposing a $6 a month increase for customers who still wanted DVD delivery. Not being a Netflix subscriber, I really don't have a position on this, but I think Social Analytics can work with "Pulse" data according to Douglas Hubbard, who authored a book on the science of harnessing internet buzz to track threats and opportunities. I picked up Hubbard's book and it nicely fits into my own framework on analytics tracking I put forward in Social Media Analytics.
While many people seemed outraged at the changes (judging by comments left of the Netflix Facebook page), the Technorati article mentioned that no one actually showed up at Netflix headquarters to protest the change. As a result, a lingering question emerges on how much spikes in social media activity represent normal sentiment of interested individuals vs. manipulated sentiment of a few that is then spread around virally, possibly taking a life of its own.
Was the response to the Netflix Outrage was likely to be "endogenous" (meaning a few people inspired the response, which then spread virally) because no one showed up at Netflix's office to protest, it could have been "exogenous" (a spontaneous response from several individuals who were unrelated, happening at the same exact moment) if we examined the data with the right platforms and mythologies (which I cover in my book).
However, I did not try to answer the Netflix question; instead, I looked at what Social Media Analytics tells us about an exogenous event that happened Monday, August 15th, when flash flooding in New York and New England dominated online conversation in the area for much of the day.
The real challenge of working with "unstructured data" of social media is settling with the presentation of information that is shown to us. Platforms we use to gather data shape the results we get and can report on; by using a different platform, we end up getting different results. As a result, we always run the risk of letting social analytics platforms dominate our vision vs. using platforms to get the information we want to know.
The idea came to me to look at events this way started from a GigaOM post suggesting Some Trending Topics are More Equal Than Others; exogenous trends might be considered more "natural" than endogenous trends as several people in New York City remarked about the rain probably did not know each other online or offline (network nodal analysis can be used to prove it one way or the other). Perhaps the only thing that online commenters are likely to have had in common is being in the same relative location (NYC) at the same time.
While each social media analytics platform will shape reporting, users often fail to use the strongest capabilities that are present in that platform; in Radian6, there is a way to find the most engaging content, something that I talk a lot about in Social Media Analytics.
Radian6 Analytics also provided the most influential Twitter accounts that tweeted about the record rainfall in NYC on August 15th, and even more so on August 14th, when there was even more rain.
When we look at events, we need to place influencers in context with what is happening – it's not necessary how many followers someone has on Twitter – but how contextually relevant and well placed the individual is – certainly DiMartino is "weather" influential in this context; though he's hardly Ashton Kutcher, he doesn't need to be.
To wrap up, the nature of an event is a complex intertwining of witnesses — many voices, of which a few stand out, but many stories are worth looking at, if we only know how to examine the information. To finish up, I'll quote from a recent interview I gave where I expressed my opinion about influence.
Take it up step, the Moon is a 4 times smaller than the Earth, and yet, in its strategic position in relation to the Earth, the Moon is of equal importance to the Sun, a body of energy that is 416 times larger than the Moon. Did you know that 72 million Moons can fit within the Sun? Perspective is so important in determining true influence, and there is no platform on that market today that can even partially account for the differences in strategic location and context to make influence mapping something to bank on.
That's definitely a lot to think about when considering what Social Analytics can bring to the analysis of events.
Previous articleGoogle+: The New Kid on the Block, but is it Too Little, Too Late?
Endogenous vs. exogenous events – a great way to think about events and influence. One takeaway might be to classify events this way. Also, I assume you would be able to tell what kind of event it is is by looking at RTs. Other ways to discern?
First thank you very much for sharing this kind of post Mr. Marshall sponder.
This article is have so much potential to think about "endogenous" and "exogenous" events.
Really great work done by author of Social Media Analytics Mr. Marshall sponder.
I recently ordered this book via Flipcart and was impressed by the information that book had to offer. Wow, I never knew that there was so much to analytic of social media.


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SPANDANA (Level 1)—A Week-Long Intensive Sanskrit Workshop for Beginners
Start Date:20-Jan-2019
End Date:26-Jan-2019
Location:Society House, Sri Aurobindo Society, Puducherry
Institute:SAFIC
"Sanskrit language, as has been universally recognized by those competent to form a judgment, is one of the most magnificent, the most perfect, the most prominent and wonderfully sufficient literary instrument developed by the human mind."—Sri Aurobindo
SAFIC conducted its annual Sanskrit for Beginners course, titled 'Spandana: Feeling the Pulsation of a Divine Language' from January 20 to26, 2019. A group of 18 individuals, from different parts of the country and some from abroad, young and old, diverse and alike participated for this week-long intensive course conducted at Society House. The course was facilitated by SAFIC Director, Dr. Sampadananda Mishra.
Learning through Mantras
Every morning, the workshop began with one hour of Mantra Yoga session. Two sets of mantras were selected for these sessions: a small number of Vedic–Upanishadic mantras and some devotional mantras and prayers. Every day, the participants were taught a few mantras alternating from both the sets. In addition, chakra purification mantras and beej mantras were also practiced in one of the sessions. A few additional people who were not a part of the workshop, including some foreign visitors, also joined the mantra yoga sessions with the permission of the course facilitator.
For each of the mantra, Dr. Mishra first explained the meaning of each line, going word by word and also explaining how each word was formed, often going to its root-sound and its deeper meaning. Then he would chant the whole mantra once in its proper chandas and rhythm. This was followed by him reciting each line slowly and the group reciting the same line after him. This practice recitation in parts went on for two or three times as necessary, and finally the group would be ready to chant the whole mantra with the Guru. As the sacred sound of OM resonated with the chanting of the mantras, the whole vibration of the classroom would become deeply uplifting and relaxing. The final mantra yoga session of the workshop ended with the chanting of all the mantras learned and practiced during the week.
Back to Basics: Learning the Alphabet and Grammar in Creative Ways
The next two sessions were dedicated to the Sanskrit alphabet (varṇamālā) which introduced the learners to the logic, science and philosophy behind the letters of the language. One special session titled 'System of Root Sounds in the Sanskrit Language' focused on the deeper meaning behind the usage of words and the concept of root-sounds and seed-sounds where in each sound carries within itself a particular meaning and a force.
Two sessions on Sanskrit grammar (vyākaraṇam) gave an insight into some of the basics which would help a beginner while reading and writing Sanskrit. The specific topics covered in these grammar sessions included the seven cases (vibhaktis) in which a Sanskrit noun is declined, and an introduction to visarga sandhi.
Spoken Sanskrit
A part of the workshop focused on helping the learners develop a sense of ease and confidence in conversational Sanskrit. Every day, two sessions were dedicated towards speaking in Sanskrit (sambhāṣaṇam) where a certain group of words, pertaining to verbal forms, time, numbers, everyday items, etc., were introduced to the participants who then attempted to form and speak simple sentences in Sanskrit. Several group activities, such as small-group discussions, singing of nursery rhymes, and writing simple stories in Sanskrit helped boost the confidence levels of the participants in speaking Sanskrit.
A session on Sanskrit resources available on the Internet showcased the range of online materials available which interested learners can use for their continued learning. The participants were also introduced to the SAFIC project on Srimad Bhagavada Gita and how the website and app that resulted from this project can be utilized for not only studying this scripture but also learning Sanskrit. A small presentation giving an overview of various other projects and works undertaken by SAFIC was also arranged.
The workshop concluded on a very positive note. Each of the participants briefly spoke about their overall experience of the workshop, the sessions which were most helpful for them, and how they hoped to continue with their Sanskrit learning journey beyond the workshop. The workshop ended with distribution of certificates and sweets.
Some feedback, comments and suggestions from the workshop participants are as follows:
"The sessions of the workshop are so beautifully planned; we could grasp the basics with great ease."
"I liked the mantra yoga sessions the most because they helped to calm the mind. The discussion on Chandas helped me appreciate the Sanskrit language at a deeper level."
"I felt so fresh after chanting the mantras."
"Group discussions were my least favourite part of the workshop because I found it difficult to discuss something which is completely new for me."
"I really liked the whole structure of the programme. It would be good to have one of the instructors moderate some of the sessions on spoken Sanskrit to make them more effective."
"Everything was perfect. For more fun we can include some play/drama/skit by the participants."
"I liked the sessions on root sounds the most. Because I feel this is the origin from where we can understand the whole Sanskrit language."
"Learning Sanskrit gave me more clarity of thought, sense of direction and deeper experience. I have to travel along this, to go deeper, to integrate it in my life."
"I will definitely try to pronounce Sanskrit words with greater awareness and sensing the vibration and purity of the sound. I will try to learn and practice more mantras."
"After going from here, I hope to regularly chant mantras to gain a greater poise within."
"This wonderful workshop has really helped me refresh a lot of things that I had forgotten. You have given me a lot of new ideas, a lot of new perspectives, a lot more knowledge which will help me in my growth."
Report by Dr. Beloo Mehra
Senior Associate, SAFIC


Ripples #1026: Fierce Urgency of Now!
We are now faced with the fact, my friends, that tomorrow is today. We are confronted with the fierce urgency of now.
but we must keep moving, we must keep going.
but by all means, keep moving!
-Dr. Martin Luther King, Jr., shared by Simone in New York, NY (I also found a video of Dr. King delivering these words at the end of a speech to college students.
2019 marks 90 years since the birth of Dr. Martin Luther King, Jr., and over 50 years have passed since his untimely death. There are significant ways that our society has shifted and grown around the issues of race and class that Dr. King and others worked passionately to advance. At the same time, there is so much still to be done. So much!
If it feels like we are stuck or even losing ground on some of these important issues, take heart: growth is not always linear. Progress usually includes some forward momentum, occasional big leaps, and inevitable periods of dormancy and/or contraction.
Even the existence of MLK Day was a process: U.S. Congress first proposed the idea in 1979; it wasn't signed into law by President Reagan until 1983, and another 17 years passed before it was officially observed in all 50 states.
I'm not suggesting we are supposed to sit back and be patient–the time is ripe for us to recommit ourselves to being part of the solution and inviting others to do the same. While many people celebrate MLK Day with some form of community service, there are many other ways to honor his legacy: listening, learning, empathizing, contributing, speaking up.
Thanks in advance for doing your part!
P.S. If you head over to our official Facebook group, Team Ripples, we keep an updated list of Dr. King's wisdom that we've shared over the last two decades of MLK Days.


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Growing Generously in Lisle
Garden-Pantry partnership increases access to produce
Building Community Health in Lisle
Posted by Rachel Huser 15sc on May 02, 2022
During the 2021 growing season, Lisle Township Community Garden harvested and donated 1,100 pounds of fresh produce to The Lisle Township Food Pantry.
Founded in 2012 by caring community members, the garden was planted to supplement the fresh produce offered at Lisle Township Food Pantry right next door. Community members accessing the pantry for grocery assistance wanted more produce, but it did not have enough to offer regularly.
"Fresh produce is the number one thing people want," said Charles Biggins, food pantry director. "Customers are looking for plant-based diets to fight health issues."
According to a groundbreaking study by United Way, more than one-third of households in DuPage County do not earn enough to afford their most basic needs, forcing them to make difficult decisions.
With such tight budgets, it can be difficult to afford higher-quality and specialty grocery items to help some people manage diet-related diseases or just maintain their preferred diets.
The fresh produce harvested at The Lisle Township Community Garden would add more variety and fresher options for the 500 families that Lisle Township Food Pantry serves monthly.
By 2017, though, the garden was overgrown and neglected. Chairwoman Paula Garcia decided to take over the garden herself.
The GardenWorks Project donated cedar planks, soil and compost for eight raised beds. After clearing out four-foot-tall weeds and rototilling the soil to prepare for planting, the garden was once again ready to start producing fresh produce for the Lisle community.
"The Lisle Community Garden was one of the first projects we supported when we launched our Community Garden Grant Program," said Jeannie Iseman, executive director of GardenWorks. "They have had a direct impact on food access by increasing the amount of fresh produce available for those who might not otherwise be able to afford it."
Four years after this renewal, the garden harvests about 50 pounds of fresh produce three times a week for the Lisle Township Food Pantry.
"Food access is something everyone should have a right to," said Garcia. "We want to make sure that our community has that."
Combined with the donated food from local grocery stores, customers can fill their fridges and pantries and feel a little less stressed about their budgets for the month.
The items grown vary from year to year. The garden originally started growing kale and swiss chard, but when many people politely declined it, they cut back and started to grow more eggplants and sweet potatoes.
This collaboration with the community ensures that people have access to foods they are familiar with, especially if they did not grow up in the United States.
For many immigrants, finding fresh produce items that meet their cultural and religious needs can be difficult. Over the years, Garcia said, they have learned what people want.
"We had someone point out the sweet potato vines and tell us they are a delicacy in her home country," Garcia said. "We don't throw away the persling, either, because it can be used in dips and other recipes."
Some of the other produce items that the garden grows include:
White cucumbers
Perennial strawberry patch
Green and banana peppers
A group of 14 volunteers split into two shifts a day throughout the growing season to maintain it. They water, weed, check on and even talk to the plants. Over the years, as the garden yield has gone up, more people have wanted to give back.
The Lisle Service Corps awarded the garden a grant that helped pay for the fence. The local Eagle Scout Troop visited the garden in 2021 and installed that fence. The local Girl Scout Troop has also been a frequent visitor for various volunteering opportunities.
"The community has been very involved and very helpful," said Garcia.
Ultimately, the garden has been a huge help for the pantry to help meet the customers' fresh produce needs, especially during the pandemic. As inflation reaches 9.2% in DuPage County, and lower-income households stretch their resources even farther, the 2022 season will be mean just as much to the customers visiting Lisle Township.
"We provide people with stability," Biggins said. "Food is important for people to thrive."


Kyle has been a recruiter at Turnkey since 2015 and has recruited candidates and coordinated the entire executive search process for a variety of clients. He has past experience with Tech USA, the New York Yankees, the Toronto Blue Jays. Graduate of Florida Gulf Coast University.


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Data ScienceNews
Next Gen Sports Analytics Rolls Out as Second Spectrum's Proprietary Offering Debuted at 2014 NBA Playoff
Eileen McNulty · November 4, 2014
0 0 1.6k 0
Eileen McNulty 2014-11-04
Second Spectrum, a sports analytics startup has developed a software that enhances audience viewership through data visualisations and live-statistics during the game, in real time.
Garnering support from former Microsoft Chair and New Clippers owner Steve Ballmer, the Second Spectrum's proprietary software system was debuted at Staples Center for the Los Angeles Clippers' opening game in the new NBA season that began last week.
"We have this product called DataFX that combines storytelling, video, advanced stats and special effects, all together to tell sort of the hidden side of what is going on in the game that you might not see," enunciates Rajiv Maheswaran, co-founder and CEO of Second Spectrum.
Found in 2013, the Los Angeles-based outfit's software provides Clippers and six other NBA teams with advanced statistics and also allows fans to "take control of the Jumbotron in real time," Maheswaran told NPR. Using smart devices, fans can choose to see video clips of their liking on the big screen, now aptly dubbed Clippertron, with the person's name showing up as well.
"It's not just going to be highlights," Maheswaran said. "It's highlights with a lot of effects but also telling the story with numbers you can't get anywhere else. Nobody else on the planet is going to have them."
An optimistic Maheswaran believes that the show at the Staples Center is only an example of things to come. "There's a lot of ways to slice and dice and interact with data that we haven't started to explore yet," he noted.
Follow @DataconomyMedia
(Image source: Second Spectrum)
Tags:NBASecond Spectrumsport
IBM and Twitter Join Forces to Help Enterprises Make Informed Business Decisions
LinkedIn's Veteran Data Science Team Splits Up to Enhance Productivity
Eileen McNulty
Eileen McNulty-Holmes is the Head of Content for Data Natives, Europe's largest data science conference. For the past ten years, they have written, edited and strategised for companies and publications spanning tech, arts and culture. With a core focus in journalism and content, Eileen has also spoken at conferences, organised literary and art events, mentored others in journalism, and had their fiction and essays published in a range of publications. They are passionate about amplifying marginalised voices in their field (particularly those from the LGBTQ community), AI, and dressing like it's still the '80s
BI & AnalyticsBig DataData Science
Big Data is changing the future of NBA scouting
Big DataData Science
Winning with Data Science, Golden State Warriors Style
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How Big Data at the U.S. Open is Changing the Fan Experience
How Technology is Changing the Face of the NFL


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Digital divide and climate change: Huawei outlines their commitments
Huawei launched their 2015 Sustainability Report on Thursday that presents their responsibility commitments.
Entitled 'Connecting the Future', the report details Huawei's contribution to the fight against global climate change, the digital divide, the company's commitment to maintaining the stability and security of telecommunications networks and its work in supporting the united Nation's Sustainable Development Goals.
According to Kevin Tao, Huawei's chairman of Corporate Sustainability Development Committee, the company is always looking to the future.
"Information and Communications Technology (ICT) is crucial for human progress in modern society, and connectivity-centered ICT technologies are catalysing transformation in every industry. In addition to boosting business efficiency and enriching people's lives, ICT is transforming societies in ways that create economic opportunities, protect the environment, and make our world more sustainable," Tao says.
The report affirms that Huawei has been pushing sustainable development, with the aim to integrate sustainability across the company, aligning it with corporate business strategies.
"Business growth is not our only goal, as we are equally committed to fulfilling our corporate social responsibilities and pursuing sustainable development," Tao says. "We hope to join hands with our partners to build a harmonious business environment and for a Better Connected World."
Regarding Huawei's sustainability development priorities, Tao asserts that following the rapid change in technology development, the ways of technology application is ever evolving.
"Our stakeholders are placing increasingly high requirements on us, and we are striving to turn these challenges into competitive advantage," Tao says. "In 2016 we will focus our efforts on bridging the digital divide and enabling information access for more people, optimizing our eco-design skills to provide more energy-efficient products and solutions, implementing our circular economy strategy to minimise the environmental impact of our smartphones, and continuing the supplier energy conservation and emissions programs to build a greener global supply chain."
Some of the highlights of Huawei's 2015 commitments included:
Deployed more than 50% of wireless stations. over 70% of LTE networks and at least 50,000 kilometres of optical fibre cable in Africa
Collaborated with customers to build over 500 new base stations in Sri Lanka
Provided network access for 50,000 Ethiopian students across 64 schools
Supported network stability during more than 130 major events and natural disasters
Increased energy efficiency of core routers and wireless based stations by 25% and 20% respectively
Six Huawei handsets obtained leading environmental certifications based on the UL110 standard, with five achieving platinum level
Awarded the Gold Award at the BT Better Future Supplier Forum (British Telecom), the 'Extraordinary Contribution to Project Spring' Award from Vodafone, and gold medals from other peers for Huawei's sustainability efforts
Huawei launches CloudEngine S-Series campus switches and solutions
Time to face the facts on the NBN catastrophe - Huawei
Update: Huawei lead counsel speaks out about the US case
Huawei calls on the US to adjust its approach to cybersecurity
How to collect, filter, and normalise logs in complex environments
To derive actionable, valuable business information from raw log data, it is necessary to collect, filter, and normalise messages from various sources.More


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Q: java.lang.AbstractMethodError: com.mysql.jdbc.PreparedStatement.setBlob(ILjava/io/InputStream;)V I'm trying to set a BLOB in MySQL DB as below:
PreparedStatement ps=con.prepareStatement("insert into image values(?,?,?,?,?)");

ps.setString(1,firstname);
ps.setString(2,lastname);
ps.setString(3,address);
ps.setString(4,phone);

if(is!=null)
{
    ps.setBlob(5,is);
}

int i=ps.executeUpdate();

The line ps.setBlob(5,is) throws the below exception:

java.lang.AbstractMethodError: com.mysql.jdbc.PreparedStatement.setBlob(ILjava/io/InputStream;)V

How it this caused and how can I solve it?

redpajama_set_name: RedPajamaStackExchange


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Home News Donegal man guilty of two charges in rape case
Donegal man guilty of two charges in rape case
A Donegal man has been convicted of anally raping a 15-year-old girl and having sex with the same teenager two years ago.
The 23-year-old accused, who can not be identified for legal reasons, had pleaded not (NOT) guilty at the Central Criminal Court to rape, anal rape and defilement of the girl on a date in February 2008.
A jury of seven men and five women returned a verdict of guilty on the charge of defilement following six hours of deliberation yesterday (Wednesday)..
The panel was sent home for the evening after considering the remaining charges for a further 90 minutes and returned the guilty verdict today (Thursday) after an another hour and a half of deliberations.
The members failed to reach a verdict on the rape charge. It was day eight of the trial.
Mr Justice George Birmingham thanked the jury for their care and attention during the trial and excused them from service for 12 years.
He remanded the accused in custody until a sentence date next March after he ordered a probation report and registered him as a sex offender..
Previous articleDerry man claims he was assaulted following burglary
Next article44% of Donegal babies born to unmarried parents


Then I guess 'noc' is feminine, right? So why is 'good night' translated as 'dobrou noc' instead of 'dobrá noc'?
I usually explain it like this: dobrou noc uses accusative dobrou because it's a shortening of Přeji ti/vám dobrou noc. 'I wish you (sg/sg formal+plural) a good night.' You use accusative for the object of a verb.
Great, now it does make sense to me! Thank you!


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Whether you need drain cleaning or fixture repair, we are ready and able to lend a helping hand. Simply give us a call to make an appointment for your Hoffman Estates, IL home or business. You can reach us at 630-964-2222.


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State Library of New South Wales
Do you wish to dig further into the family members' last?
Explore your household history making use of the Library's diverse and substantial choices. We're going to have something for you whether you're a veteran family historian or just starting out.
We've a dedicated genealogy and family history area where you will find family history documents and sources, including:
electoral rolls
genealogy handbooks
past newsprints.
Staff may indeed there to acquire started with your research and show you through the Library's selections.
Can't visited the Library? Check out the genealogy and family history research guides we've created or Ask a Librarian to have assistance with your loved ones history analysis.
We've created online research guides to assist you with researching family history and navigating the Library's selections. These guides consist of recommendations, strategies and crucial resources.
We likewise have two starting out guides for a fundamental introduction to some family history material from the Library's selections.
Workshops and talks
We regularly run genealogy and family history occasions in which specialist staff introduce the Library's family history collections and teach ways to protect family documents.
Genealogy teams
We can provide tailored programs for genealogy teams at the Library.
The Library's eresources collection includes preferred genealogy eresources such as for instance:
You can access many eresources particularly previous papers from anywhere, anytime if you're a brand new South Wales resident. You simply require a Library card or a registered NSW public library card. Many eresources such as Ancestry Library Edition and Findmypast is only able to be accessed while during the Library.
Source: www.sl.nsw.gov.au
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Creative interior design ideas pics izismile is one images from 27 stunning creative interior ideas of Boren Homes photos gallery. This image has dimension 640x405 Pixel and File Size 63 KB, you can click the image above to see the large or full size photo. Previous photo in the gallery is ultra cool fun creative interior design. For next photo in the gallery is creative interior design inspiration beautiful home. You are viewing image #10 of 27, you can see the complete gallery at the bottom below.


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Lock rate
Strengthen your company by understanding current business trends and challenges in the world.
See our latest article below, and let us know your thoughts.
E-commerce Comes of Age: Financial Solutions in the Global Economy
While online shopping has been growing for decades and brick and mortars from Macy's to Best Buy, fear losing their foot-trafficked business, the current moment for e-commerce is like nothing they've seen before. Thanks in part to the new normal, social distancing, and the temporary shuttering of most non-essential businesses, e-commerce has been provided the ultimate catalyst.
The growth of e-commerce falls against the backdrop of widespread talk of a global recession and GDPs sliding. The US is bracing itself for a contraction of around 5 percent for 2020, while China can anticipate anemic growth of 1.8 percent. (The 1.8 percent growth rate is the country's slowest since 1976).
If estimates for e-commerce are to be believed, online retail will grow to a $6.5 trillion industry by 2023. Even now, US online retail growth is up 68 percent in year over year mid-April comparisons. Yes, there will be winners no and losers to be sure. Disposable gloves, bread machines, and cold and cough products have seen a 300-500+ percent surge in March 2020 vs. March 2019 sales. Conversely, purchasing of suitcases, luggage, men's swimwear, and bridal clothing have witnessed sales drops of 63-77 percent.
But on balance, if you're a small or medium-sized business with an online component or an SMB who is considering becoming one, now is the pivotal moment.
However, if your business elects to go that route, caution in one crucial area is advised: international currency volatility.
Pacify Global Payment Pains
It's a reality that makes international commerce a challenge. That's true, especially now as volatility is higher than usual. As of this article's publication, global currencies are rallying against the dollar as positive new emerges for vaccine progress. Conversely, a strong dollar (which has been the case throughout the COVID-19/coronavirus pandemic) while beneficial for Americans' purchasing power abroad, also makes US goods more expensive overseas.
Regardless of a strong dollar or a weak dollar, the conundrum is that when SMBs sell online, they're required to transact in the country currency they're selling in. To do that, banks will charge up to 5 percent (or more) to complete the currency conversion. Amazon, too, and other e-commerce platforms, will likewise charge a similar amount.
Considering some 17 percent of Amazon sellers made more than $500,000 per year, and 1 percent generated more than $1 million, significant dollars are at stake. And this is just one online selling platform. eBay, Walmart, and Rakuten offer similar international e-commerce currency conversion rates.
For a SMB to maximize profits overseas, SMBs require three essential tools:
The ability to track and manage their international transactions in real-time
The need to reduce their currency conversion costs to the lowest possible percent
Instant access (and alerts) to currency volatility trends to know when to make a purchase or complete a payment
Worldesk is just such a tool. The Worldesk platform helps business owners and executives navigate a volatile international marketplace with full transparency and the tools they need to save money, reduce exposure, and safeguard profit margins.
If you are selling on Amazon, Rakuten, eBay, or other marketplaces, Worldesk meets the policies and standards for international collections. Through a unique currency account, Worldesk ensures that your marketplace funds are accounted for and converted at an exchange rate far below the competition. In addition, Worldesk has built-in ways to manage currency conversion and help you increase critical profit margins.
Avoid exorbitant fees and volatile currency markets once and for all. Take advantage of a simple and intuitive approach that gives your online business the clarity it needs to succeed globally.
Beyond the Benjamins
Of course, seamless currency conversion is only one part of the equation. Selling your products abroad begins with making those products enticing to buy.
As online and e-commerce businesses embrace this coming of age moment, take this opportunity to ensure your desktop and mobile website are up to par, review your calls to action, and make sure your company story makes sense. Check loading times and consider an inventory upgrade that shifts from luxury products to must-have essentials.
Combined with smart financial planning and currency management e-commerce, and brick-and-mortars with a robust online presence will emerge from the COVID-19 crisis stronger than ever – immune from future international shocks.
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AC / Classic Hits / Classic Rock / General / Hard Rock & Heavy Metal / Pop Music / Rock
BON JOVI TAKES ONE FOR THE NJ TEAM WITH NEWARK OPENING
Bon Jovi became the first band to play the Prudential Center, the new arena housed in dangerous Newark in hopes they can revitalize the city.
Bon Jovi played the first of ten shows in Newark, New Jersey at the Prudential center on Thursday night, kicking off a world tour. The trek is in support of their latest release, Lost Highway, and it is also the first shows in the brand-new venue that also hosts the New Jersey Devils. The band rolled through a repertoire of their hits with an opening set by My Chemical Romance.
Before the start of the ten night stand, Jon Bon Jovi explained why he felt an obligation to perform in the new arena, which resides in one of America's most dangerous cities.
"The arena here and bringing the [Hockey franchise New Jersey] Devils here to Newark is huge. It's huge for the city. I think there's a huge commitment especially by ownership group of the Devils and the local government, especially the mayor's office, to do anything in its power to revitalize Newark. This is our contribution to revitalizing its economy, telling people it's OK to come and to try out the new venue. So I took a leap of faith like the Devils and came into Newark with the hope that we can all lend a hand."
He also said that the name of the venue needs to be re-named something cool.
"I don't think you can call it the Pru center. That's just got no cool at all (laughs).OK, I'm opening the building so I'm deeming it 'The Rock'. So it's called 'The Rock' and nothing else."
Bon Jovi has announced plans for a World Tour and we'll have all the details in the coming week, plus we'll hear Jon's thoughts on the album. rn
Tags: Bon JoviJon Bon JoviLost HighwayMy Chemical RomanceNewarkPrudential Arena
JUSTIN BIEBER SAYS SANTA CLAUS IS COMING TO TOWN
NO RESERVATIONS STARS SERVE IT UP
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Cedar Island Marina is full service family-owned business equipped with numerous amenities including: a service department, ship store, fuel dock, pool, jacuzzi, restaurant, laundry services, free internet and lounge for hosting parties and events.
At Cedar Island Marina, we provide our customers more than just a dock to tie up to. As the largest marina in Clinton Harbor and one of the largest in Connecticut, we pride ourselves on the fact that we offer our boaters an experience similar to a resort. Hours: Mon – Fri: 8:00 am – 5:00 pm Sat: 9:30 am – 4:30 pm Sun: 12:00 pm – 4:00 pm.


Special offer from Carte Blanche and Rozetka!
50% discount for purchasing E2M Carte Blanche Ukraine: GPS for Android in Internet-supermarket Rozetka together with any tablet with GPS and camera.
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Echandi ist der Familienname folgender Personen:
 Mario Echandi Jiménez (1915–2011), costa-ricanischer Politiker
 Martin Echandi (* 1972), costa-ricanischer Tennisspieler

redpajama_set_name: RedPajamaWikipedia


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Wolf Trap's virtual Field Trip Fridays for students are back
Hannah Foley May 21, 2021 at 2:00pm
For the second year in a row, Wolf Trap National Park for the Performing Arts is hosting virtual Field Trip Fridays for teachers and students to enjoy from their classrooms or homes.
Performed by the Wolf Trap Teaching Artists, the Field Trip Fridays program consists of interactive videos for children and accompanying handouts for their parents or teachers to use as educational tools.
"The hope is that children will find joy in the experience and develop a love of the performing arts that their parents/guardians will continue to foster," Cate Bechtold, Wolf Trap's director of internships and community programs, said.
Usually, Wolf Trap hosts thousands of school-aged children from across the D.C. area for in-person field trips at its Children's Theatre-in-the-Woods events, but in-person activities were suspended last spring in response to the COVID-19 pandemic.
Bechtold says Wolf Trap had seven of its teaching artists pre-record performances of a variety of art forms in their own homes for the first Field Trip Friday series. The videos were then sent to teachers each week, along with the educational handouts.
"It is my hope that the Field Trip Friday videos open children's eyes to new experiences, places, instruments, and art forms and in turn, instill a lifelong love of learning and the arts," said Bechtold.
This year's series began on April 16 with a rainforest-related dance by Natasha Mirny. Leading up to the Filene Center's 50th Anniversary season this summer, there are four remaining Field Trip Friday performances:
May 28 — The Recycling Pirates
June 11 — How We Grow! (presented in English and Spanish)
June 25 — The Language of Djembe
July 9 — Cruising the Caribbean
The videos are released each Friday on the Field Trip Friday page. There are additional resources for parents and teachers as well.
"Making performing arts experiences accessible to the children and families in our community is essential to ensuring that the arts are valued and can thrive for generations to come," Bechtold said. "We have the privilege of being part of an extremely diverse community and the arts are such a beautiful way for children to expand their knowledge on new topics and deepen their appreciation for the people and cultures that are sharing the information."
Photo courtesy Wolf Trap National Park for the Performing Arts
arts recycling Wolf Trap
This weekend's open houses: May 21, 2021Here are the top Tysons Reporter stories of the week


In this example we connect a PIR module up to our Raspberry PI, this is quite a simple module to connect as it requires only 5v, Gnd and the output is PI friendly so does not require any level shifting.
Adjust the distance potentiometer clockwise rotation, increased sensing distance (about 7 meters), on the contrary, the sensing distance decreases (about 3 meters).
Adjust the delay potentiometer clockwise rotation sensor the delay lengthened (300S), on the contrary, shorten the induction delay (5S).


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Royal Family princesses Beatrice and Eugenie reveal constant 'mockery' has left them in tears
The Royal Family sisters are very close
Emma Costello
Princesses Beatrice and Eugenie have revealed living in the public eye has reduced them to tears.
The sisters have grown up with the media watching their every move, like many in the Royal Family.
But the constant attention on their lives has taken a toll on them.
In their first ever joint interview, Beatrice and Eugenie insisted that despite their family's status, they were "real."
Prince Harry fuels rumours he wants to start a family with Meghan Markle soon
In conversation with Vogue magazine, Princess Beatrice, said: "It's hard to navigate situations like these because there is no precedent, there is no protocol.
"We are the first: we are young women trying to build careers and have personal lives, and we're also princesses, and doing all of this in the public eye."
(Image: Vogue)
Princess Eugenie agreed and added: "We want to show people who we are as working, young, royal women, but also not to be afraid of putting ourselves out there.
"Nowadays it's so easy to recoil when you see a perfect image on Instagram - but it's important that it's real. We're real."
Members of the public invited to wedding
Royal children involved in wedding
Eugenie & Jack forced postpone wedding
The sisters have been mocked for their sartorial choices over the years - in particular for their unique hats.
At Prince William's wedding to Kate Middleton in 2011, Beatrice wore a hat so unusual it was named the "pretzel hat."
Philip Treacy, the Irish designer who created the famous hat, later joked he thought he might have his head on a spike for the outlandish design.
Princess Beatrice Leaving Westminster Abbey After The Wedding Of Prince William And Kate Middleton (Image: Antony Jones/Julian Parker/Mark Cuthbert/UK Press via Getty Images)
Princess Beatrice has also been mocked for the number of holidays she seemingly takes.
The pair admitted people "beating" them up had taken its toll on and had even reduced them to tears on occasion.
Eugenie, who works at an art gallery, said she finally broke down while at a garden party at Buckingham Palace.
She said: "There was a horrible article that had been written about Beatrice and she got really upset.
Her secret Instagram LEAKED
Mother and father to reunite?
Sister Eugenie to marry long term love
Beatrice admits she cried over 'mockery'
"We were just about to step out and she had a bit of a wobble and cried. I was looking after her.
"And then about an hour later, I had a wobble and started crying and Bea was there for me."
The sisters - who describe each other as their 'rocks' - will even stick together on Princess Eugenie's wedding day. She will marry Jack Brooksbank in October.
Princess Eugenie of York (L) and Princess Beatrice of York attend the annual summer party in partnership with Chanel at The Serpentine Pavilion on June 19, 2018 in London, England (Image: David M. Benett/Dave Benett/Getty Images for Serpentine Galleries)
It has been confirmed that Princess Beatrice will be her maid-of-honour - or chief bridesmaid.
Princess Beatrice said: 'Euge is amazing. She's a very modern bride.'
Princess Eugenie assured she was not a domineering 'bridezilla' adding: 'I'm not stressed at all. It's nerve-racking because you want it to be perfect, but then you realise that you're going to be with the person you love forever and nothing else really matters.'
She also revealed the whole wedding would be plastic-free - as is her home.


On the first place we check the feasibility, economic growth and environmental sustainability of any proposal, backing it with hard work on research, comparison and selection of the best opportunity.
Each area of operation is a significant and integral part of the Group, that moves ahead confidently following a methodical and planned strategy: always looking at minimizing the business risk, considering this as "a key investing factor" when operating in a developing country like Bulgaria.
Projest Group Holding is constantly looking at expanding its areas of operation with the purpose of their further growth for the benefit of the Republic of Bulgaria economy and socio-cultural development.
Innovation, stability and transparency of Corporate Management are the founding pillars of our vision. Their consistent implementation allows the Group to provide excellent services and to add value to the investments towards achieving a sustainable growth.
The Group's biggest investment is in human resources, being the driving force of its development and growth. With value-driven approach, we attract innovators and leaders to our business. What motivates our people to do their job best is not only the opportunity for a fast-track career progression but also the young environment which makes possible team-work and precise distribution of responsibilities. PJG staff has been selected as much for their skills and qualifications, as much for their enthusiasm and personal motivation. In all our companies special emphasis and attention is given to maintaining harmonious relationships and applying fair standards. We have managed to set up a flexible management team which has proven its effectiveness through the Group's continuous successful business moves. We believe that the solid internal organization, precise allocation of duties and strategic planning has always helped us in overcoming various business challenges.
Disappointment, defeat and despair are the tools God uses to show us the way.
Due to our philosophy of centralised management, We exert our influence through an executive representation on the boards of the controlled companies.
Same for our associated companies and joint ventures, due to the significant influence or joint control exercised by PJG through its board representation in those investee companies.
We don't have any so called "portfolio investments".
We are always involved in the day-to-day management of the business units of investees: most power and critical decision making responsibilities are concentrated with a few key leaders.