text:
\section{SUPPLEMENTAL INFORMATION}

\subsection{1. Calculation of the conditional statistics}
A necessary condition for observing a burst in a detector placed at the end of the waveguide is that the emission of photons into the waveguide increases at $t=0$. This condition can be written as $\tilde{g}^{(2)}(0)>1$, where the second-order correlation function reads
\begin{align}
    \tilde{g}^{(2)}(0) &= \frac{\sum\limits_{\nu=+,-} \sum\limits_{\mu=+,-,i} \Gamma_\nu \Gamma_\mu \braket{\hat{\mathcal{O}}^\dagger_\mu \hat{\mathcal{O}}^\dagger_\nu \hat{\mathcal{O}}_\nu \hat{\mathcal{O}}_\mu}}{\left(\sum\limits_{\nu=+,-}\Gamma_\nu \braket{\hat{\mathcal{O}}^\dagger_\nu\hat{\mathcal{O}}_\nu}\right) \left(\sum\limits_{\mu=+,-,i} \Gamma_\mu \braket{\hat{\mathcal{O}}^\dagger_\mu\hat{\mathcal{O}}_\mu}\right)} =1 + \frac{\sum\limits_{\nu=+,-}\Gamma_\nu^2 - N\Gamma_{\rm 1D} \left( 2\Gamma_{\rm 1D} + \Gamma'\right)}{N^2\Gamma_{\rm 1D}\left(\Gamma_{\rm 1D} + \Gamma'\right)}.
\end{align}

The condition $\tilde{g}^{(2)}(0)>1$ implies $\text{Tr}\left[\mathbb{\Gamma}^2\right]> N\Gamma_{\rm 1D} (2\Gamma_{\rm 1D}+\Gamma')$. The variance of $\{\Gamma_\nu\}$,

\begin{equation}
    \mathrm{Var}\left(\frac{\{\Gamma_\nu\}}{\Gamma_{\rm 1D}}\right)=\frac{1}{N\Gamma_{\rm 1D}^2}\sum_{\nu=+,-}(\Gamma_\nu^2-\Gamma_{\rm 1D}^2),
\end{equation}

can be used to rewrite this expression as Eq.~\eqref{cond} of the main text.

\subsubsection*{1.1. Minimal burst condition for arbitrary spatial configurations}

Even when the analytical expression of the eigenvalues is not known, one can obtain a condition that guarantees a burst by finding a lower bound for $\sum_\nu\Gamma_\nu^2\equiv \text{Tr}\left[\mathbb{\Gamma}^2\right]$. The trace of $\mathbb{\Gamma}^2$  for an arbitrary spatial configuration is readily calculated as
\begin{equation}
\begin{aligned}
\text{Tr}[\mathbb{\Gamma}^2]&=\sum_{i,j=1}^N \Gamma_{ij}^g \Gamma_{ji}^g =N^2 (\Gamma_R^2+\Gamma_L^2) +2\Gamma_R \Gamma_L \sum_{i,j=1}^N \cos (2k_{\rm 1D}(z_i-z_j))\\
&=N^2 (\Gamma_R^2+\Gamma_L^2) +2\Gamma_R \Gamma_L \left[\left(\sum_{i=1}^N \cos (2k_{\rm 1D} z_i)\right)^2+\left(\sum_{i=1}^N \sin (2k_{\rm 1D} z_i)\right)^2\right]\geq  N^2 (\Gamma_R^2+\Gamma_L^2).
\end{aligned}
\end{equation}

Thus, choosing a set of parameters that satisfies $N (\Gamma_R^2+\Gamma_L^2)>\Gamma_{\rm 1D} (2\Gamma_{\rm 1D}+\Gamma')$, i.e., Eq.~\eqref{fin} in the main text, guarantees superradiance regardless of the arrangement of the qubits. If the qubits form an ordered array with lattice constant $k_{\rm 1D} d= n \pi/N$ [i.e. at the degeneracy points in Fig.~\ref{fig:fig2}(a)], the bound is saturated.  This can be intuitively understood from the fact that $\text{Tr}[\mathbb{\Gamma}^2]$ is related to the variance of $\{\Gamma_\nu\}$, which is minimized at degeneracy.

\subsubsection*{1.2. Enhancement of the emission of the third photon}

To confirm that $\tilde{g}^{(2)}(0)>1$ is a sufficient condition to predict a burst, we compute the conditional third order correlation function, which reads
\begin{align}
    \tilde{g}^{(3)}(0) &= \frac{\sum\limits_{\nu=+,-} \sum\limits_{\mu,\chi=+,-,i} \Gamma_\nu \Gamma_\mu \Gamma_\chi \braket{\hat{\mathcal{O}}^\dagger_\chi \hat{\mathcal{O}}^\dagger_\mu \hat{\mathcal{O}}^\dagger_\nu \hat{\mathcal{O}}_\nu \hat{\mathcal{O}}_\mu \hat{\mathcal{O}}_\chi}}{\left(\sum\limits_{\nu=+,-}\Gamma_\nu \braket{\hat{\mathcal{O}}^\dagger_\nu\hat{\mathcal{O}}_\nu}\right) \left(\sum\limits_{\mu=+,-,i} \Gamma_\mu \braket{\hat{\mathcal{O}}^\dagger_\mu\hat{\mathcal{O}}_\mu}\right)^2} \\
    &= 1 - \frac{6\Gamma_\text{1D}^2 + 8 \Gamma' \Gamma_\text{1D} + 3 \Gamma'^2}{N(\Gamma_\text{1D} + \Gamma')^2} + \frac{12\Gamma_\text{1D}^2 + 8 \Gamma' \Gamma_\text{1D} + 2 \Gamma'^2}{N^2 (\Gamma_\text{1D} + \Gamma')^2} \notag\\ & \qquad + \frac{\left(3N \Gamma_\text{1D} - 12 \Gamma_\text{1D} + 2(N-2) \Gamma'\right) \sum\limits_{\nu=+,-} \Gamma_\nu^2 + 2\sum\limits_{\nu=+,-} \Gamma_\nu^3}{N^3 \Gamma_\text{1D}(\Gamma_\text{1D} + \Gamma')^2}.
    \label{g3}
\end{align}

Below we prove by contradiction that there is no combination of parameters such that $\tilde{g}^{(2)}(0)\leq 1$ while $\tilde{g}^{(3)}(0)>1$, so the emission of the third photon is never enhanced if the second was not. The inequality $\tilde{g}^{(2)}(0)\leq 1$ implies
\begin{equation}
\text{Tr}\left[\mathbb{\Gamma}^2\right]<N\Gamma_{\rm 1D} (2\Gamma_{\rm 1D}+\Gamma').
 \label{ineq1}
\end{equation}
Combining the above equation with $\tilde{g}^{(3)}(0)>1$ yields
\begin{equation}
2\text{Tr}\left[\mathbb{\Gamma}^3\right]>N^2\Gamma_{\rm 1D}\Gamma' (\Gamma_{\rm 1D}+\Gamma')+2 N\Gamma_{\rm 1D} (6\Gamma_{\rm 1D}^2+6\Gamma_{\rm 1D}\Gamma'+\Gamma'^2).
 \label{ineq2}
\end{equation}

After some algebraic manipulations, one finds
\begin{subequations}
 \begin{align}
\text{Tr}[\mathbb{\Gamma}^2] &= \sum_{i,j=1}^N \Gamma_{ij} \Gamma_{ji} = N^2(\Gamma_L^2 + \Gamma_R^2) + 2\Gamma_L\Gamma_R\sum_{i,j=1}^N \cos\left[2k_{\rm 1D} (z_i-z_j)\right],\\
\text{Tr}[\mathbb{\Gamma}^3] &= \sum_{i,j,k=1}^N \Gamma_{ij} \Gamma_{jk} \Gamma_{ki} = N^3(\Gamma_L^3 + \Gamma_R^3) + 3N\Gamma_\text{1D}\Gamma_L \Gamma_R \sum_{i,j=1}^N \cos\left[2k_{\rm 1D} (z_i-z_j)\right].
\end{align}
\end{subequations}

Therefore, the condition for the third emission to be the first one that is enhanced reduces to
\begin{equation}
F(N)\equiv N^2 +B N+C <0,
\label{fn}
\end{equation}
with
\begin{subequations}
\begin{align}
B&=\left(\frac{\Gamma'}{\Gamma_{\rm 1D}}\right)^2-\frac{2\Gamma'}{\Gamma_{\rm 1D}}-6,\\
C&=2\left(\frac{\Gamma'}{\Gamma_{\rm 1D}}\right)^2+12+12\frac{\Gamma'}{\Gamma_{\rm 1D}}.
\end{align}
\end{subequations}
While $C>0$ for all possible values of the ratio $\Gamma_{\rm 1D}/\Gamma'$, $B>0$ only if $\Gamma'/\Gamma_{\rm 1D}>1+\sqrt{7}$.  Thus, if $\Gamma'/\Gamma_{\rm 1D}>1+\sqrt{7}$, the inequality in Eq.~\eqref{fn}  is never satisfied. If $\Gamma'/\Gamma_{\rm 1D}<1+\sqrt{7}$,  the discriminant of $F(N)$ is negative, so $F(N)$ does not have real roots and hence it is never negative. We then conclude that  no combination of parameters yield $\tilde{g}^{(2)}(0)\leq 1$ while $\tilde{g}^{(3)}(0)>1$, so  $\tilde{g}^{(2)}(0)> 1$ is a sufficient condition to predict a burst.

\subsection{2. Emergent translational symmetry at the degeneracy points}
Consider a finite and ordered array of $N$ qubits whose interactions are described through the matrix of coefficients $\Gamma_{ij}$. If the interactions satisfy periodic or antiperiodic boundary conditions (i.e.  if $\Gamma_{i,N+1}=\pm \Gamma_{i,1}$), the system becomes translationally invariant since one can identify particle 1 with particle $N+1$. Periodic boundary conditions (PBC) emerge for bidirectional waveguides at lattice constants $k_{\rm 1D} d=2n\pi/N$, with $n\in \mathbb{N}$. Antiperiodic boundary conditions (APBC) are achieved for $k_{\rm 1D} d=(2n+1)\pi/N$. Therefore, at $k_{\rm 1D} d=n\pi/N$, the eigenvectors of $\mathbb{\Gamma}$ must obey Bloch's theorem. The jump operators thus take the form of annihilation operators for spin waves with momentum $k$ in the first Brillouin zone, i.e.,
\begin{equation}
 \hat{S}_{k}=\frac{1}{\sqrt{N}}\sum_{j=1}^N e^{-\ii k d j}\hge^j.
\end{equation}
The only two jump operators with finite decay rates are those that match the wavevector of the guided mode, i.e., $k=\pm k_{\rm 1D}$. These are the left and right jump operators defined in Eq.~\eqref{eq:left_right} of the main text. Since the system is mirror-symmetric, the two jump operators must have identical decay rates. Thus, the two non-zero eigenvalues of the $\mathbb{\Gamma}$ matrix become degenerate at $k_{\rm 1D} d=n\pi/N$.

We can also demonstrate that the two non-zero eigenvalues are degenerate at $k_{\rm 1D} d=n\pi/N$ by employing the analytical form of the collective jump operators. For the case of a bidirectional waveguide they read
\begin{equation}
\hat{\mathcal{O}}_\pm=\sqrt{\frac{\Gamma_{\rm 1D}}{\Gamma_\pm}}\sum_{i=1}^N \mathcal{F}_\pm \left[k_{\rm 1D} d \bigg(\frac{N+1}{2}-i\bigg)\right]\hge^i,
\label{eq:jumps}
\end{equation}
with $\mathcal{F}_{\{+(-)\}}[\cdot]=\cos[\cdot] (\sin[\cdot])$. Notice that $\hat{\mathcal{O}}_\pm$ differ by a $\pi/2$ phase shift. Due to the emergent translational symmetry at $k_{\rm 1D} d=n\pi/N$, $\hat{\mathcal{O}}_\pm$ must have the same decay rates at these points.

\subsection{3. Imbalance statistics with large parasitic decay and details on numerical evolution}

If the parasitic decay dominates, correlations are washed out, and the imbalance distribution is centered around zero, displaying very suppressed probabilities of large imbalances, as shown in Fig.~\ref{fig:imbalances_LargeGamma}. The possible values for $I$ are now $\{-N,-N+1,...,N\}$  since  $N_L$ and $N_R$ can take any value as long as $N_R+N_L\leq N$.

\begin{figure*}
\centering
\includegraphics[width=0.7\textwidth]{Appendix_largeG.pdf}
\caption{Imbalance statistics on the emission direction for 16 qubits  with large parasitic decay ($\Gamma'=10\Gamma_{\rm 1D}$) emitting into a (a) bidirectional and (b) a chiral waveguide ($\gr=3\Gamma_L$).}
\label{fig:imbalances_LargeGamma}
\end{figure*}

The number of trajectories used for Figs.~\ref{fig:fig1} and ~\ref{fig:fig3} (on the main text) , and SI Fig. 1 is detailed in Table~\ref{table1}.

\begin{table}[H]
 \caption{\label{table1} Number of trajectories used for Figs. ~\ref{fig:fig1} and ~\ref{fig:fig3} of the main text, and  SI Fig. 1}
 \begin{ruledtabular}
\begin{tabular}{lll}
                        & Bidirectional & Chiral \\
 Fig. 1               & 2,000         & 2,000       \\
Fig. 3(b)               & 12,000         & 12,000       \\
Fig. 3(c) and Fig. 3(d) & 20,000        & 13,000     \\
SI Fig. 1                &  5,000       &   8,000
 \end{tabular}
 \end{ruledtabular}
\end{table}

The calculations for Figs. 2(b) and 2(c) are performed in the constrained Hilbert space composed of states with at most two atoms in $\ket{g}$. A burst is predicted if the emission rate at the final time $N\Gamma_{\rm 1D} t_\text{fin}=10^{-5}$ is larger than at $t=0$. The probability in Fig. 2(c) is computed with 100 random configurations. The numerical boundary is defined such that the burst prediction occurs in every configuration.
\end{document}

\section{SUPPLEMENTAL INFORMATION}

\subsection{1. Calculation of the conditional statistics}
A necessary condition for observing a burst in a detector placed at the end of the waveguide is that the emission of photons into the waveguide increases at $t=0$. This condition can be written as $\tilde{g}^{(2)}(0)>1$, where the second-order correlation function reads
\begin{align}
    \tilde{g}^{(2)}(0) &= \frac{\sum\limits_{\nu=+,-} \sum\limits_{\mu=+,-,i} \Gamma_\nu \Gamma_\mu \braket{\hat{\mathcal{O}}^\dagger_\mu \hat{\mathcal{O}}^\dagger_\nu \hat{\mathcal{O}}_\nu \hat{\mathcal{O}}_\mu}}{\left(\sum\limits_{\nu=+,-}\Gamma_\nu \braket{\hat{\mathcal{O}}^\dagger_\nu\hat{\mathcal{O}}_\nu}\right) \left(\sum\limits_{\mu=+,-,i} \Gamma_\mu \braket{\hat{\mathcal{O}}^\dagger_\mu\hat{\mathcal{O}}_\mu}\right)} =1 + \frac{\sum\limits_{\nu=+,-}\Gamma_\nu^2 - N\Gamma_{\rm 1D} \left( 2\Gamma_{\rm 1D} + \Gamma'\right)}{N^2\Gamma_{\rm 1D}\left(\Gamma_{\rm 1D} + \Gamma'\right)}.
\end{align}

The condition $\tilde{g}^{(2)}(0)>1$ implies $\text{Tr}\left[\mathbb{\Gamma}^2\right]> N\Gamma_{\rm 1D} (2\Gamma_{\rm 1D}+\Gamma')$. The variance of $\{\Gamma_\nu\}$,

\begin{equation}
    \mathrm{Var}\left(\frac{\{\Gamma_\nu\}}{\Gamma_{\rm 1D}}\right)=\frac{1}{N\Gamma_{\rm 1D}^2}\sum_{\nu=+,-}(\Gamma_\nu^2-\Gamma_{\rm 1D}^2),
\end{equation}

can be used to rewrite this expression as Eq.~\eqref{cond} of the main text.

\subsubsection*{1.1. Minimal burst condition for arbitrary spatial configurations}

Even when the analytical expression of the eigenvalues is not known, one can obtain a condition that guarantees a burst by finding a lower bound for $\sum_\nu\Gamma_\nu^2\equiv \text{Tr}\left[\mathbb{\Gamma}^2\right]$. The trace of $\mathbb{\Gamma}^2$  for an arbitrary spatial configuration is readily calculated as
\begin{equation}
\begin{aligned}
\text{Tr}[\mathbb{\Gamma}^2]&=\sum_{i,j=1}^N \Gamma_{ij}^g \Gamma_{ji}^g =N^2 (\Gamma_R^2+\Gamma_L^2) +2\Gamma_R \Gamma_L \sum_{i,j=1}^N \cos (2k_{\rm 1D}(z_i-z_j))\\
&=N^2 (\Gamma_R^2+\Gamma_L^2) +2\Gamma_R \Gamma_L \left[\left(\sum_{i=1}^N \cos (2k_{\rm 1D} z_i)\right)^2+\left(\sum_{i=1}^N \sin (2k_{\rm 1D} z_i)\right)^2\right]\geq  N^2 (\Gamma_R^2+\Gamma_L^2).
\end{aligned}
\end{equation}

Thus, choosing a set of parameters that satisfies $N (\Gamma_R^2+\Gamma_L^2)>\Gamma_{\rm 1D} (2\Gamma_{\rm 1D}+\Gamma')$, i.e., Eq.~\eqref{fin} in the main text, guarantees superradiance regardless of the arrangement of the qubits. If the qubits form an ordered array with lattice constant $k_{\rm 1D} d= n \pi/N$ [i.e. at the degeneracy points in Fig.~\ref{fig:fig2}(a)], the bound is saturated.  This can be intuitively understood from the fact that $\text{Tr}[\mathbb{\Gamma}^2]$ is related to the variance of $\{\Gamma_\nu\}$, which is minimized at degeneracy.

\subsubsection*{1.2. Enhancement of the emission of the third photon}

To confirm that $\tilde{g}^{(2)}(0)>1$ is a sufficient condition to predict a burst, we compute the conditional third order correlation function, which reads
\begin{align}
    \tilde{g}^{(3)}(0) &= \frac{\sum\limits_{\nu=+,-} \sum\limits_{\mu,\chi=+,-,i} \Gamma_\nu \Gamma_\mu \Gamma_\chi \braket{\hat{\mathcal{O}}^\dagger_\chi \hat{\mathcal{O}}^\dagger_\mu \hat{\mathcal{O}}^\dagger_\nu \hat{\mathcal{O}}_\nu \hat{\mathcal{O}}_\mu \hat{\mathcal{O}}_\chi}}{\left(\sum\limits_{\nu=+,-}\Gamma_\nu \braket{\hat{\mathcal{O}}^\dagger_\nu\hat{\mathcal{O}}_\nu}\right) \left(\sum\limits_{\mu=+,-,i} \Gamma_\mu \braket{\hat{\mathcal{O}}^\dagger_\mu\hat{\mathcal{O}}_\mu}\right)^2} \\
    &= 1 - \frac{6\Gamma_\text{1D}^2 + 8 \Gamma' \Gamma_\text{1D} + 3 \Gamma'^2}{N(\Gamma_\text{1D} + \Gamma')^2} + \frac{12\Gamma_\text{1D}^2 + 8 \Gamma' \Gamma_\text{1D} + 2 \Gamma'^2}{N^2 (\Gamma_\text{1D} + \Gamma')^2} \notag\\ & \qquad + \frac{\left(3N \Gamma_\text{1D} - 12 \Gamma_\text{1D} + 2(N-2) \Gamma'\right) \sum\limits_{\nu=+,-} \Gamma_\nu^2 + 2\sum\limits_{\nu=+,-} \Gamma_\nu^3}{N^3 \Gamma_\text{1D}(\Gamma_\text{1D} + \Gamma')^2}.
    \label{g3}
\end{align}

Below we prove by contradiction that there is no combination of parameters such that $\tilde{g}^{(2)}(0)\leq 1$ while $\tilde{g}^{(3)}(0)>1$, so the emission of the third photon is never enhanced if the second was not. The inequality $\tilde{g}^{(2)}(0)\leq 1$ implies
\begin{equation}
\text{Tr}\left[\mathbb{\Gamma}^2\right]<N\Gamma_{\rm 1D} (2\Gamma_{\rm 1D}+\Gamma').
 \label{ineq1}
\end{equation}
Combining the above equation with $\tilde{g}^{(3)}(0)>1$ yields
\begin{equation}
2\text{Tr}\left[\mathbb{\Gamma}^3\right]>N^2\Gamma_{\rm 1D}\Gamma' (\Gamma_{\rm 1D}+\Gamma')+2 N\Gamma_{\rm 1D} (6\Gamma_{\rm 1D}^2+6\Gamma_{\rm 1D}\Gamma'+\Gamma'^2).
 \label{ineq2}
\end{equation}

After some algebraic manipulations, one finds
\begin{subequations}
 \begin{align}
\text{Tr}[\mathbb{\Gamma}^2] &= \sum_{i,j=1}^N \Gamma_{ij} \Gamma_{ji} = N^2(\Gamma_L^2 + \Gamma_R^2) + 2\Gamma_L\Gamma_R\sum_{i,j=1}^N \cos\left[2k_{\rm 1D} (z_i-z_j)\right],\\
\text{Tr}[\mathbb{\Gamma}^3] &= \sum_{i,j,k=1}^N \Gamma_{ij} \Gamma_{jk} \Gamma_{ki} = N^3(\Gamma_L^3 + \Gamma_R^3) + 3N\Gamma_\text{1D}\Gamma_L \Gamma_R \sum_{i,j=1}^N \cos\left[2k_{\rm 1D} (z_i-z_j)\right].
\end{align}
\end{subequations}

Therefore, the condition for the third emission to be the first one that is enhanced reduces to
\begin{equation}
F(N)\equiv N^2 +B N+C <0,
\label{fn}
\end{equation}
with
\begin{subequations}
\begin{align}
B&=\left(\frac{\Gamma'}{\Gamma_{\rm 1D}}\right)^2-\frac{2\Gamma'}{\Gamma_{\rm 1D}}-6,\\
C&=2\left(\frac{\Gamma'}{\Gamma_{\rm 1D}}\right)^2+12+12\frac{\Gamma'}{\Gamma_{\rm 1D}}.
\end{align}
\end{subequations}
While $C>0$ for all possible values of the ratio $\Gamma_{\rm 1D}/\Gamma'$, $B>0$ only if $\Gamma'/\Gamma_{\rm 1D}>1+\sqrt{7}$.  Thus, if $\Gamma'/\Gamma_{\rm 1D}>1+\sqrt{7}$, the inequality in Eq.~\eqref{fn}  is never satisfied. If $\Gamma'/\Gamma_{\rm 1D}<1+\sqrt{7}$,  the discriminant of $F(N)$ is negative, so $F(N)$ does not have real roots and hence it is never negative. We then conclude that  no combination of parameters yield $\tilde{g}^{(2)}(0)\leq 1$ while $\tilde{g}^{(3)}(0)>1$, so  $\tilde{g}^{(2)}(0)> 1$ is a sufficient condition to predict a burst.

\subsection{2. Emergent translational symmetry at the degeneracy points}
Consider a finite and ordered array of $N$ qubits whose interactions are described through the matrix of coefficients $\Gamma_{ij}$. If the interactions satisfy periodic or antiperiodic boundary conditions (i.e.  if $\Gamma_{i,N+1}=\pm \Gamma_{i,1}$), the system becomes translationally invariant since one can identify particle 1 with particle $N+1$. Periodic boundary conditions (PBC) emerge for bidirectional waveguides at lattice constants $k_{\rm 1D} d=2n\pi/N$, with $n\in \mathbb{N}$. Antiperiodic boundary conditions (APBC) are achieved for $k_{\rm 1D} d=(2n+1)\pi/N$. Therefore, at $k_{\rm 1D} d=n\pi/N$, the eigenvectors of $\mathbb{\Gamma}$ must obey Bloch's theorem. The jump operators thus take the form of annihilation operators for spin waves with momentum $k$ in the first Brillouin zone, i.e.,
\begin{equation}
 \hat{S}_{k}=\frac{1}{\sqrt{N}}\sum_{j=1}^N e^{-\ii k d j}\hge^j.
\end{equation}
The only two jump operators with finite decay rates are those that match the wavevector of the guided mode, i.e., $k=\pm k_{\rm 1D}$. These are the left and right jump operators defined in Eq.~\eqref{eq:left_right} of the main text. Since the system is mirror-symmetric, the two jump operators must have identical decay rates. Thus, the two non-zero eigenvalues of the $\mathbb{\Gamma}$ matrix become degenerate at $k_{\rm 1D} d=n\pi/N$.

We can also demonstrate that the two non-zero eigenvalues are degenerate at $k_{\rm 1D} d=n\pi/N$ by employing the analytical form of the collective jump operators. For the case of a bidirectional waveguide they read
\begin{equation}
\hat{\mathcal{O}}_\pm=\sqrt{\frac{\Gamma_{\rm 1D}}{\Gamma_\pm}}\sum_{i=1}^N \mathcal{F}_\pm \left[k_{\rm 1D} d \bigg(\frac{N+1}{2}-i\bigg)\right]\hge^i,
\label{eq:jumps}
\end{equation}
with $\mathcal{F}_{\{+(-)\}}[\cdot]=\cos[\cdot] (\sin[\cdot])$. Notice that $\hat{\mathcal{O}}_\pm$ differ by a $\pi/2$ phase shift. Due to the emergent translational symmetry at $k_{\rm 1D} d=n\pi/N$, $\hat{\mathcal{O}}_\pm$ must have the same decay rates at these points.

\subsection{3. Imbalance statistics with large parasitic decay and details on numerical evolution}

If the parasitic decay dominates, correlations are washed out, and the imbalance distribution is centered around zero, displaying very suppressed probabilities of large imbalances, as shown in Fig.~\ref{fig:imbalances_LargeGamma}. The possible values for $I$ are now $\{-N,-N+1,...,N\}$  since  $N_L$ and $N_R$ can take any value as long as $N_R+N_L\leq N$.

\begin{figure*}
\centering
\includegraphics[width=0.7\textwidth]{Appendix_largeG.pdf}
\caption{Imbalance statistics on the emission direction for 16 qubits  with large parasitic decay ($\Gamma'=10\Gamma_{\rm 1D}$) emitting into a (a) bidirectional and (b) a chiral waveguide ($\gr=3\Gamma_L$).}
\label{fig:imbalances_LargeGamma}
\end{figure*}

The number of trajectories used for Figs.~\ref{fig:fig1} and ~\ref{fig:fig3} (on the main text) , and SI Fig. 1 is detailed in Table~\ref{table1}.

\begin{table}[H]
 \caption{\label{table1} Number of trajectories used for Figs. ~\ref{fig:fig1} and ~\ref{fig:fig3} of the main text, and  SI Fig. 1}
 \begin{ruledtabular}
\begin{tabular}{lll}
                        & Bidirectional & Chiral \\
 Fig. 1               & 2,000         & 2,000       \\
Fig. 3(b)               & 12,000         & 12,000       \\
Fig. 3(c) and Fig. 3(d) & 20,000        & 13,000     \\
SI Fig. 1                &  5,000       &   8,000
 \end{tabular}
 \end{ruledtabular}
\end{table}

The calculations for Figs. 2(b) and 2(c) are performed in the constrained Hilbert space composed of states with at most two atoms in $\ket{g}$. A burst is predicted if the emission rate at the final time $N\Gamma_{\rm 1D} t_\text{fin}=10^{-5}$ is larger than at $t=0$. The probability in Fig. 2(c) is computed with 100 random configurations. The numerical boundary is defined such that the burst prediction occurs in every configuration.
\end{document}

redpajama_set_name: RedPajamaArXiv


Micah 6:7-9 – Will the Lord be pleased with thousands of rams, with ten thousands of rivers of oil? Shall I give my firstborn for my transgression, the fruit of my body for the sin of my soul?" God has told you, O mortal, what is good; and what does the Lord require of you but to do justice, and to love kindness, and to walk humbly with your God?
Being my first sermon of the new year, I feel a sense of obligation to address the occasion. However, I must admit that I find New Year's celebrations a bit cliché. In my mind New Year's parties are very much like Cinco de Mayo or National Drink Wine Day in the U.S., which is to say that I am convinced people will use just about anything as an excuse to party and eat and drink too much. In high school and college, I would usually tag along with a few friends to a New Year's party and very much come to regret that decision when I woke up on January 1st. I will not go in to the reasons why I regretted attending those parties, as indulging in some personal details is unbecoming to the office of the minister; and besides, I now stand about 10 feet above contradiction at the moment, which is why you've given me the title and robes.
I am happy to report that for nearly a decade now I have spent New Year's with my family, enjoying games and laughter and top-notch fellowship. Still yet, I do enjoy a few of the clichéd New Year's thing; for instance, I love watching the ball drop in New York City. It is very much a tradition in my life by now, in the same way the Macy's Thanksgiving Day Parade must be on in the background as I prepare the turkey for the oven. Most of the New Year's Eve chatter and musical performances are obnoxious to me, but I love when the camera pans over the sea of people jammed like sardines into Times Square. Everyone looks so happy, even when it rains, as it did last year.
I love to count down as the ball drops and imagine all those New Year's resolutions being thought and whispered in that very moment. And when midnight finally strikes in the Central Time Zone, where I usually spend every New Year's Eve, I have, for the past decade, begun each year with a kiss from my wife. My teenage self is very jealous of this fact as I spent most midnights in the late-90s and early 2000s watching others kiss.
But what would New Year's be without a resolution? There are the ubiquitous resolutions that top many peoples' lists; things like quitting smoking or cutting back on drinking top the charts; so does going to church, eating better, and working out more. But every year breweries, distilleries, and smoke shops stay healthfully in business; the lines at the fast food drive-thru is just as slow as they've always been; there are always unused treadmills and dumbbells at the gym; and the pews at the front of the church are always vacant.
Every December 31st, millions, maybe even billions of people employ symbols of change and renewal: from New York City to Edinburgh, and Tokyo to Sydney, there are fabulous fireworks displays; we pop corks on bottle after bottle of champagne and shine bright lights on dark nights; we resolve to change, to be more patient or wholesome or mindful, yet things around us stay mostly the same.
It's as if we expect the New Year's excitement and hope to flow directly in to our personal and collective circumstances. But the newspaper is just as grim on January 1st as it was on December 31st; our boss is just as obnoxious; our kids just as messy; our laundry still overflowing; our government just as ineffective; and our minister's sermons just as boring as the year before.
We know this is the case, don't we? We know we have a powerful tendency to fall short of our own goals, but this doesn't stop us from making resolutions, and it never will. After all, it's quite human to fail; nobody would learn a thing at all if this weren't the case.
Celebrating the New Year has been around since at least 45 B.C.E. And following Pope Gregory XIII's commissioning of the Gregorian calendar in the 1570s, people have been celebrating January 1st with tremendous zeal. But New Year's isn't like Christmas or Easter, it isn't accompanied by the return of the light or the birth of God, nor does is welcome spring's rebirth and renewal, or Christ's bodily resurrection. So why do we celebrate it?
The dawning of the New Year marks no change in circumstances, really. It is, when you peel away all the hoopla, just a marking of the march of time. But it's hardly a trivial holiday, at all; what lends magic to this season is that it symbolizes humankind's ability to undergo transformation in a world so seemingly resistant to change.
The hope of this season is that you resolve to dare yourself to go somewhere different. This season calls you to begin where you are, but to take yourself and your life someplace new.
In Philippians, St. Paul, a man with a 21st Century ego and emotional baggage to spare, is offering what appears to be a New Year's sermon to his congregation in Philippi; in it he encourages his listeners to "Forget what lies behind and strain forward to what lies ahead, [and to] press on toward the goal" (3:13-14).
Forget what lies behind and strain forward to what lies ahead, press on toward the goal.
How many of us actually forget what lies behind? What lies behind is what we fight about; what lies behind is what we shout about when the money gets tight; what lies behind is what we talk about with our therapists; it's what causes us to drink too much and forsake our own best intentions. Every major world religion has a lot to say about the past and our tendency to dwell in it. But the true test of any faith is whether we are brave enough to let joy and hope overcome anxiety and fear. And the only way to do this is to start where you are.
Start where you are. This is very important. Meditation practice is not about later, when you get it all together and you're this person you really respect. You may be the most violent person in the world—that's a fine place to start. That's a very rich place to start—juicy, smelly. You might be the most depressed person in the world, the most addicted person in the world. You might think that there are no others on the planet who hate themselves as much as you do. All of that is a good place to start. Just where you are—that's the place to start.
As people of faith we are called to be fully awake; to be beacons of light in darkness so deep. We are called to forget what lies behind and strain forward to what lies ahead, because in the end, the world cannot change unless we change first.
Ask yourself what burdens you are carrying into this new year. What grudges or unfinished business are you holding on to? What worries or sadness do you carry with you from the past? I'll acknowledge that maybe I'm the only person here who is in need of forgetting something. What is in your hearts and minds is your business, though I'm always here for you should you wish to talk. If you are like me, you have a few things you can let go of. You can put something down, you can forget what is behind you, you can bid farewell to a burden, you can say adios to a bit of your ego and pride. This isn't easy, and I'm not suggesting it is.
It's quite natural to worry about what might happen if something were to actually change. You might worry whether you will be strong enough to accept what comes; will you be brave enough to stand firm in the face of mounting pressure? You might worry whether it will be worth the risk in the long run, if the prize merits the sacrifice.
To forget the past and strive forward to what lies ahead is a fearful gamble. But so much of life is just like that: love and marriage, parenting and friendship, and anything worthy of care and devotion is a risk with no guaranteed reward.
I remember watching my daughter take swimming lessons a while back. At first, she would cry and reach for the side when her instructor told her it was time to try floating. But after a while she trusted her teacher enough to take a risk. One morning she laid back in the water as her teacher held her head and back above the water. Her teacher calmly told her to breathe and then she bent down and whispered in her ear, "Be brave." And slowly the instructor pulled her hands away and like magic the water held her afloat.
I can think of nothing better than to repeat those two words: Be brave.
The New Year gives us an opportunity to behold our imperfections in new light. Failures, unlike mistakes, are repeated steps in the wrong direction, things that add up over time, and have the ability to alter the course of your life, and the lives of people around you. To forget what lies behind isn't to pretend as though nothing ever happened. It is to learn from one's mistakes and failures; to forget what lies behind is to grow more fully into our humanity.
The celebration of the New Year gives us a chance to take what has been and transform it into something new; it teaches us that it is never too late to begin again; it teaches us that even when we fail, we're not a failure; it teaches us that even when our relationships fall apart there is more love somewhere; it teaches us that death is not the end, and that love finds us and follows us far beyond the grave.
The wisdom of St. Paul's letter is this: do not be thrown off balance by the enormity of the heartache in this world. When all else fails remember the prophet Micah's words: do justice, love kindness, and walk humbly. This church needs you; your fellow citizens need you; and the world itself needs you.
So, while the year is still new, start where you are, strive forward to what lies ahead, and press on toward the goal. The world will not change until first we change ourselves.
Amen. I love you. Happy New Year.


From a single furniture item to masterplans, we find physical models to be invaluable at all stages of the design process. Here's an example of an adorable Minotti sofa we recently made with our in-house 3D printer, complete with tiny cushions. – Folio.


text:
Methods Machine Tools Announces Management Changes, Celebrates 60 Years
By Methods Machine Tools Inc. Press Release
Methods Machine Tools Inc. (Sudbury, MA) announced two key management appointments: President Jerry Rex was named president and chief executive officer, and Dale Hedberg was promoted to vice president of operations.
Jerry Rex, president and CEO, Methods Machine Tools Inc.
Methods' board appointed Rex as president and CEO of the company, after having served as president over the past year. Prior to that, he was Methods' chief operating officer.
"With his strong skill set, machine tool industry knowledge and energetic management approach, we are looking forward to moving the company ahead through his continued leadership, positioning Methods as the industry's leading supplier of machine tool technology and automation for our customers throughout North America," said Scott McIver, Methods chairman and third-generation owner.
Rex has an extensive amount of machine tool industry and leadership experience, including hands-on manufacturing, engineering, sales, and executive management. He has served for many years as a member of The Association for Manufacturing Technology board and as chairman of AMT's board of directors until April 1, 2016. He has carried the CMTSE designation since 1997 and remains an active committee member.
Spanning 40 years, Rex's manufacturing career began with a machinist position at GE Locomotive and he steadily rose from roles in engineering and applications to production and sales management, and executive positions at manufacturers and machine tool organizations. Before joining Methods, he served as executive vice president of Concept Machine Tools (Minneapolis).
Prior to that, Rex was president of Hegman Machinery LLC, a Morris Group Co., from 2013 to 2015. For the 20 years prior, he held roles including president of Morris South (Charlotte, NC), vice president of Gosiger Inc. (Dayton, OH) and regional manager of J&H Machine Tools (Richmond, VA).
Dale Hedberg, vice president of operations,
Methods Machine Tools Inc.
Hedberg was promoted from director/national product manager to vice president of operations. He is now responsible for all of Methods' operations including production, shipping/receiving, inside sales, trade shows, and continuous improvement. A machine tool industry veteran, Hedberg has been a Methods' employee for nearly 20 years in engineering positions, and most recently as product manager for a high-performance CNC machining line. Prior to Methods, Hedberg was production manager at a tooling systems company for 10 years.
"Dale's proven skills for strategically managing Methods' product lines and a deep knowledge of Methods' infrastructure, as well as his extensive machine tool experience, made his promotion to vice president of operations a logical one," Rex said. "He will play a key role on our management team."
In addition to these management moves, 2018 marks the 60th anniversary of Methods' founding. To commemorate its anniversary milestone, Methods will be hosting open houses, holding technology events and introducing new product lines throughout the year.
Established in November 1958 with three employees and a few refurbished machines, Methods has grown into an innovative high-precision machine tool supplier for North America with roughly 350 employees, eight sales and technology centers and more than 35,000 machines installed throughout North America, ranging from EDM machines to sophisticated 5-axis CNC machining centers to the latest in robotics and automation.

redpajama_set_name: RedPajamaCommonCrawl


text:
Duchouquet Township  is one of the fourteen townships of Auglaize County, Ohio, United States. The 2010 census found 14,499 people in the township.

Geography
Located in the northern part of the county, it borders the following townships:
Shawnee Township, Allen County – north
Perry Township, Allen County – northeast
Union Township – east
Clay Township – southeast corner
Pusheta Township – south
Washington Township – southwest corner
Moulton Township – west
Logan Township – northwest corner

Most of Wapakoneta, the largest city and county seat of Auglaize County, is located in southwestern Duchouquet Township, and the village of Cridersville is located in the township's northeast.

Duchouquet Township is the largest township in the county, containing forty-two whole sections, for a total area of . It is the largest township in the county, both in population and in area. The Auglaize River flows through the township.

Name and history
Named for Francis Duchoquet, a French trapper who lived with local Shawnees, it is the only Duchouquet Township statewide.

A significant Council House was built in the area by the Shawnee, who arrived in the area after the Miami were forced out in the 1780s. This structure was a meeting place for the most prominent Native American leaders in the region, such as Blue Jacket, Captain Logan, Little Turtle, and Tecumseh. Meanwhile, the township was also the site of an early Quaker mission.

Duchouquet Township was formed on March 4, 1833, while still part of Allen County. After the creation of Auglaize County in 1848, six square miles that had previously been a part of Shawnee Township in Allen County were attached to northern Duchouquet Township.

Government
The township is governed by a three-member board of trustees, who are elected in November of odd-numbered years to a four-year term beginning on the following January 1. Two are elected in the year after the presidential election and one is elected in the year before it. There is also an elected township fiscal officer, who serves a four-year term beginning on April 1 of the year after the election, which is held in November of the year before the presidential election. Vacancies in the fiscal officership or on the board of trustees are filled by the remaining trustees.

Public services
The entire township is in the Wapakoneta City School District.

The southern sections of Duchouquet Township are served by the Wapakoneta post office (45895), with the northern section being served by the Cridersville branch of the Lima post office (45806).

Major highways include Interstate 75 which crosses the county from north to south, passing through both municipalities, and U.S. Route 33 which sits on the township's southern border and passes through Wapakoneta.

References

External links
County website

Townships in Auglaize County, Ohio
1833 establishments in Ohio
Populated places established in 1833
Townships in Ohio

redpajama_set_name: RedPajamaWikipedia


text:
Titans coach Mike Vrabel jokes that he would cut OFF his own penis to win a Super Bowl because he's 'been married 20 years' and his wife wouldn't mind
Titans coach Mike Vrabel was asked by some of his players on a recent podcast if he would be willing to cut off his own penis if it meant he would win a Super Bowl
Framing his response pragmatically, Vrabel gave an impractical answer. 'Been married 20 years,' he said, as quoted by PaulKuharsky.com. 'Yeah, probably'
Vrabel already won three Super Bowls playing linebacker for the New England Patriots, and he didn't have to sacrifice his reproductive organs to do it
He also has two sons with wife Jennifer, and after 20 years of marriage, the 43-year-old said sex just isn't the priority it once was for either Mr. or Mrs. Vrabel
According to Vrabel, his wife would respond to the idea: 'You want me to do it?'
By Alex Raskin Sports News Editor For Dailymail.com
Tennessee Titans head coach Mike Vrabel wants to win a Super Bowl, and after two decades of marriage and a couple of kids, he's willing to sacrifice his own penis to make that happen.
While being interviewed on the 'Bussin' With the Boys' podcast by former Titans linebacker Will Compton and current offensive tackle Taylor Lewan, the 43-year-old Vrabel was jokingly asked: 'Would you cut your d*** off for a Super Bowl?'
Framing his response pragmatically, Vrabel gave an impractical answer.
'Been married 20 years,' he said, as quoted by PaulKuharsky.com. 'Yeah, probably.'
Titans coach Mike Vrabel was asked by some of his players on a recent podcast if he would be willing to cut off his own penis if it meant he would win a Super Bowl. His answer: Why not?
'I'm in dire need of a kidney': Former NFL star Albert... Shocking video shows the moment 'drunk' ex-Seahawks player...
Vrabel already won three Super Bowls playing linebacker for the New England Patriots, and he didn't have to sacrifice his reproductive organs to do it.
Vrabel is 9-7 as entering his second season
However, he's entering only his second season as an NFL head coach, and a Super Bowl win would provide a great deal of job security in a profession that's known for turnover.
Perhaps just as importantly, Vrabel already has two sons with wife Jennifer, and after 20 years of marriage, sex just isn't the priority it once was.
'You guys will be married for 20 years one day,' he said. 'You won't need it.'
Pushing the issue further, Lewan asked his coach what his wife's reaction would be.
'If you come home with a bag of ice, and Jen is like "Oh honey what did you do?"'
'"I cut …my dick off, we're gonna win a Super Bowl,"' Lewan continued. 'She'd be like "eh," or would she be upset?'
Apparently Mr. and Mrs. Vrabel share the same priorities.
'She'd be like: "Do you want me to do it?" he said. '"Do you want to do it now?"'
Vrabel is 9-7 as a head coach entering his second season.
Vrabel already won three Super Bowls playing linebacker for the New England Patriots, and he didn't have to sacrifice his reproductive organs to do it. In this picture Vrabel is seen after the previously undefeated Patriots lost Super Bowl XLII to the New York Giants in 2008
Bussin¿ With The Boys
Mike Vrabel willing to cut his d--- off for a Super Bowl win
Titans coach Mike Vrabel jokes that he would cut OFF own his penis to win a Super Bowl


It is performed by Newsboys. The style of the score is 'Christian'. Catalog SKU number of the notation is 22598. This score was The style of the score is 'Christian'. Catalog …... E Through You the blind will see, Through You the mute will sing, A Through You the dead will rise, Through You all hearts will praise, C ♯ m Through You the darkness flees, Through You B my heart screams, I am free!
21/06/2016 · #SAVEFAITHCATHERINE. One day I was approached by my colleague and friend to like and share the Facebook page of her niece, born a micro-preemie (premature inspiration your ultimate calling free pdf We Believe - Newsboys - free chords and lyrics. Learn this song on Jellynote with our interactive sheet music and tabs. Play along with youtube video covers. Learn this song on Jellynote with our interactive sheet music and tabs.
At E-Chords.com you will learn how to play Newsboys' songs easily and improve your skills on your favorite instrument as well. Daily, we added a hundreds of new songs with chords and tabs, just for you ;).
Download Newsboys You Are My King (Amazing Love) sheet music notes and chords for Easy Guitar. This Pop composition includes 2 page(s). SKU: 69587. Free preview. Transpose, save as PDF.


text:
Home » Opinion » James J. Zogby » Adding insult to injury
Adding insult to injury
Oct 31,2022 - Last updated at Oct 31,2022
This past week, a major US daily paper ran a lengthy feature article reporting on France's repatriating to Algeria 24 skulls reputed to be the decapitated heads of Algerian resistance fighters. The piece was both shocking and infuriating.
Instead of unearthing the obscene history behind this entire affair, the story's focus was that only six of the skulls could be properly identified as belonging to Algerian fighters with the other 18 being of unknown background. With both governments apparently intent on ignoring the questionable provenance of the skulls, the transfer was heralded as a "powerful gesture" and a "milestone in [France's and Algeria's] efforts to rebuild ties". In the end, the story raised more questions than it answered and revealed a past, as one Algerian historian noted, "which spoke volumes about colonial barbarism".
The Algerian skulls were reputed to be the heads of resistance leaders and civilians beheaded during France's 19th century conquest of North Africa. According to the report, they had been "displayed on poles" and were "taken back to France as war trophies". They were part of a collection of 18,000 human bones culled from former French colonies and housed in Paris' Museum of Mankind. Among the thousands of skeletal remains in the collection were bones from across Africa, North America and Asia. Brought to France by members of the French military and archeologists, they were then turned over to the museum as part of an effort to study and categorise racial differences.
France's repatriation of these skulls is only one of about 20 such French returns of remains to other countries, and, in this instance, can only be considered incomplete, France is only "lending" them to Algeria for a "period of five years".
While this entire affair is sordid in itself, equally disturbing is the fact that it was masked by both governments, who, apparently hungry for a diplomatic victory, presented the return as an important step in rebuilding ties. While rapprochement is to be heralded, 'renting' the bones of Algerian martyrs is a crude, backhanded and woefully inadequate way of accomplishing this objective.
France would have done better to offer a full-throated apology for the horrors inflicted on the Algerian people during its century-long conquest settler colonial occupation and brutal repression. The closest it has come is French President Macron's recent and rather lame "both sides suffered" remarks.
What remains on the table is France's need to offer some form of reparations for the damage it did to Algeria and its people. Instead of taking such a step, France made the obscene gesture of a return of decapitated skulls, a reminder of its brutality and inhumanity.
I write this out of my continued frustration with the way the French and the West, in general, continue to parade themselves as the world's bearers of civilisation, culture and values, while caricaturing the peoples of the East or the South as lesser species. Their racialist "scientists" in the Museum of Mankind measured cranial capacity in the skulls they studied in order to demonstrate white superiority. Their social scientists studied what they considered inferior cultures, while their political and military leaders conquered the lands of these "lesser peoples", imposed themselves on them and despoiled their resources to serve the higher purposes of Western countries. In Algeria alone, millions were killed or allowed to die from disease and starvation in the interests of France and its people.
France was no different than many other Western colonial powers, most notably: Great Britain, Portugal, Spain, Germany and the United States. The worldwide wreckage and human suffering left in the wake of their conquests and exploitative rule are not just a matter of history. The damage done continues to shape the present-day realities of their victim nations.
The bottom line is clear: The West built its wealth and its pretense of a civilised democratic order on the backs and bones of those whom they crushed. To move forward, there must be an acknowledgment of and reckoning for the damage done, and then actions taken in the name of restorative justice. Sending back skulls that only serve to remind the victims of past evil adds insult to injury.
The writer is president of the Washington-based Arab American Institute
James J. Zogby
Hebron and Jerusalem: The impact of loss of control
Not so much a new year, as a continuation of last year
A call for a Christmas truce
The mask is off
Wrong at the top of their voices
The pundits got it wrong
A nail-biter
No government has the right to pass such laws


text:
<?php

namespace BinSoul\Test\IO\Stream\Type;

use BinSoul\IO\Stream\AccessMode;
use BinSoul\IO\Stream\Type\NullStream;
use BinSoul\Test\IO\Stream\MinimalStreamTest;

class NullStreamTest extends MinimalStreamTest
{
    protected function buildStream()
    {
        return new NullStream();
    }

    public function test_null_behaviour()
    {
        $stream = $this->buildStream();
        $stream->open(new AccessMode('w+'));

        $this->assertEquals(3, $stream->write('foo'));
        $this->assertEquals('', $stream->read(3));
        $this->assertTrue($stream->flush());
        $this->assertFalse($stream->seek(10));
        $this->assertEquals(0, $stream->tell());
        $this->assertTrue($stream->isEof());
        $this->assertTrue($stream->isReadable());
        $this->assertTrue($stream->isWritable());
        $this->assertFalse($stream->isSeekable());
        $this->assertEquals(0, $stream->getSize());
    }

    public function test_stat_returns_correct_values()
    {
        $expected = [
            'dev',
            'ino',
            'mode',
            'nlink',
            'uid',
            'gid',
            'rdev',
            'size',
            'atime',
            'mtime',
            'ctime',
            'blksize',
            'blocks',
        ];

        $stream = $this->buildStream();
        $stream->open(new AccessMode('w+'));

        $stat = $stream->getStatistics();
        foreach ($expected as $key) {
            $this->assertArrayHasKey($key, $stat);
        }
    }

    public function test_getMetadata_returns_correct_values()
    {
        $expected = [
            'timed_out',
            'blocked',
            'eof',
            'unread_bytes',
            'stream_type',
            'wrapper_type',
            'mode',
            'seekable',
            'uri',
        ];

        $stream = $this->buildStream();
        $stream->open(new AccessMode('w+'));

        $meta = $stream->getMetadata();
        foreach ($expected as $key) {
            $this->assertArrayHasKey($key, $meta);
        }

        $this->assertContains('w+', $meta['mode']);
        $this->assertEquals('MEMORY', $meta['stream_type']);
    }

    public function test_getMetadata_returns_null_for_unknown_key()
    {
        $stream = $this->buildStream();
        $stream->open(new AccessMode('w+'));
        $this->assertNull($stream->getMetadata('abc'));
    }

    public function test_getMetadata_returns_value_for_known_key()
    {
        $stream = $this->buildStream();
        $stream->open(new AccessMode('w+'));

        $this->assertContains('w+', $stream->getMetadata('mode'));
        $this->assertEquals('MEMORY', $stream->getMetadata('stream_type'));
    }

    public function test_detach_returns_null()
    {
        $stream = $this->buildStream();
        $stream->open(new AccessMode('w+'));
        $this->assertNull($stream->detach());
    }

    public function test_appendTo_returns_true()
    {
        $stream = $this->buildStream();
        $stream->open(new AccessMode('w+'));
        $this->assertTrue($stream->appendTo($stream));
    }
}

redpajama_set_name: RedPajamaGithub


text:
🏅 Sports
athletesathleticsget to knowtrack and fieldworld championshipsinterviewsolympics
© 2019 Beyond the Uniform with TJ Brassil
T.J. Brassil
Beyond The Uniform with TJ Brassil
Every athlete has a story if you listen. We all see world class athletes on the track, field, court, etc., but we rarely get to really know who these athletes really are. Well that is exactly what this podcast will be doing. TJ Brassil will be giving you an inside look at the person beyond the uniform of these Olympic caliber athletes.
https://feeds.simplecast...
2019 Beyond the Uniform with TJ Brassil
November 25, 2020 Special Episode: Ato Boldon Interview Part 2TJ and Ato talk about the famous Oakley glasses Ato debuted 20 years ago at the Sydney Olympics (0:38). Ato talks about his career in television including: his decision to go into TV (3:21), if he was more nervous for his first Olympic race or broadcast (6:01), his favorite race to call (8:35), his favorite event to watch (10:50) and his time broad..
November 18, 2020 Special Episode: Ato Boldon Interview Part 1TJ lists some highlights of Ato's impressive resume (:53). Ato talks about his favorite moment in his running career (1:47) and what it was like running as the veteran on the Trinidad and Tobago team near the end of his career (4:07). He then tells the story of how a psychic played into his races in the 1996 Atlanta Olympics (5:52). TJ asks Ato why..
September 23, 2020 Season 2 Finale Special Edition: Theo Robertson InterviewTJ kicks off the episodes by talking about some of Theo's accolades (:30). Theo talks about his transition to coaching after injuries ended his playing career (1:16) and how difficult that was to accept (3:18). TJ and Theo discuss Theo's election into the De La Salle High School Hall of Fame (6:34). Theo explains how he realized he wanted to become..
August 19, 2020 Raven Saunders InterviewThe show starts off with all of Raven's accolades showing just how dominant of an athlete she is (0:29). TJ and Raven discuss the 2016 Rio Olympics: what the transition was like from competing against collegiate athletes to the best in the world (1:42), what the feeling was like when she first stepped into the stadium to compete (2:33), her favorit..
July 29, 2020 Oregon Track and Field InterviewTJ explains the new format of this episode (0:06) and then introduces the athletes (2:13). Lexi talks about how the team found out that the Indoor NCAA Track and Field Championships were going to be cancelled due to COVID-19 (3:12) and what the scene was like at the track (4:20). Carmela talks about what kind of hope the team was still holding out ..
July 22, 2020 Kyra Jefferson InterviewTJ and Kyra discuss the race where she broke the collegiate record (1:15) and at what point the magnitude of her accomplishment finally hit her (7:52). She also opens up about the behind the scenes struggles from that year (10:36) and how she overcame them (12:08). Kyra discusses how she is approaching the 2021 Olympic trials (14:18) and the growth..
July 15, 2020 Christian Taylor InterviewTJ lists off some of Christian's accomplishments and talks with him about what moments from his career stand out to him (1:38). They discuss how he takes care of his knees with all of the pounding that occurs in triple jumping (2:45). Christian explains how difficult it was to change his technique in the prime of his career (4:18). He also discusse..
July 8, 2020 Special Edition: Anita Alvarez InterviewTJ asks Anita for the reasons behind the name change of Synchronized Swimming to Artistic Swimming (1:06). Anita breaks down the sport and explains the different events in Artistic Swimming (2:46), if they can hear the music underwater (5:27) and what kind of cues they use while performing (6:35). She also talks about what it was like to train John..
July 1, 2020 Shamier Little InterviewTJ asks Shamier why she decided to be a 400 meter hurdler (1:50) and how she got started in that event (2:26). She explains what the last 100 meters of that race is like (3:52), what her strategy is going into her races (4:47) and what is going through her mind on the home stretch of a race (5:44). Shamier talks about when she realized she could be..
June 24, 2020 Special Edition: Ryan Murphy InterviewTJ starts off the show listing off Ryan's numerous accolades (1:21) and getting his thoughts on his accomplishments thus far in his career (2:18). Ryan talks about what it was like breaking a world record (4:00), swimming with his idol, Michael Phelps (7:37), their friendship since Rio (8:47) and what his mindset was going into the relay where he b..
June 17, 2020 Keni Harrison InterviewTJ and Keni revisit the day she broke the world record. Keni describes her mindset going into the race (:40), what went through her mind when she finally realized she broke the World Record (1:51) and what kind of confidence that has given her in her races since (2:27). Keni also tells the story about getting a call from her former coach which help..
June 10, 2020 Ashton Eaton InterviewAshton updates TJ on what life is like as a new dad (:51), the biggest surprise of fatherhood so far (2:18) and how he and Brianne landed on the name Ander (3:35). TJ asks Ashton about what it's like sharing his birthday with his son (5:52) and how he and Brianne plan to handle expectations that may be put on Ander as he grows (7:45). Ashton discu..
April 1, 2020 Marybeth Price InterviewTJ talks with Marybeth about how her first indoor season went as a professional runner (:47) and what steps she now takes to shift her focus for a delayed Olympic Trials (1:41). She talks about the choice she made at a young age to focus on track over her budding soccer career (2:24). They discuss why Marybeth ended up choosing Oregon (3:23), why s..
March 25, 2020 Phyllis Francis InterviewTJ talks with Phyllis about what it's like to be recognized as a world champion (:38). Phyllis talks about how her training has been going as she prepares for the Olympic trials (2:00), and what kind of impact COVID-19 has had on her training (3:21). TJ asks Phyllis what all of her experience on the world stage has taught her (4:06) and what kind o..
March 18, 2020 English Gardner InterviewTJ asks English about how her training is going so far this season (:43), and what is different about training in an Olympic year (1:43). English talks about why she feels like she now belongs with other Olympians (3:22). She discusses the emotion behind her 2016 Olympic trials win and the stories behind it (5:12). English opens up about her battle..
March 11, 2020 Jenna Prandini InterviewJenna talks about her injury last season and how she is focusing on preventing injuries for this upcoming Olympic season (:45). She explains why she moved to Texas to train (3:37), the importance of training partners (5:03) and what it is like to train with 100m hurdles world record holder Keni Harrison (6:10). TJ asks Jenna about her friendship wi..
March 4, 2020 Sam Crouser InterviewTJ asks Sam about attending his first Olympics in 2016 and having his cousin, Ryan, as a Team USA teammate (1:08). Sam talks about what it was like to see his cousin, Ryan, win a gold medal. (6:57). He discusses the pressures of growing up in a family that is considered track royalty (9:05). TJ asks Sam why 2017 felt like the right time to walk awa..
February 26, 2020 Kendall Ellis InterviewTJ asks Kendall about her historic comeback at Hayward Field in the 2018 NCAA OutdoorTrack and Field Championships (:47). Kendall talks about what she sees as her biggest accomplishment so far in her career (6:06). She tells TJ about her goals she currently has for her track career (7:31). TJ talks with Kendall about the upcoming Olympic Trials and..
February 19, 2020 Morgan Mitchell InterviewMorgan goes into detail about switching her event from the 400m to the 800 m (:53) and her goals heading into the Olympic year (10:34). Morgan tells TJ about her relationship with US Olympian Devon Allen, how she always wins any competition against him, except in football, and his attempts to get her to go skydiving (12:48). TJ asks Morgan about he..
February 12, 2020 Clayton and Ariana Murphy InterviewTJ talks with Clayton and Ari about being newlyweds and their wedding (:27). Clayton discusses if his bronze medal in Rio gives him more confidence to make the 2020 Olympic team (2:28) and how being married to a former Olympian helps his training (4:16). Clayton and Ari talk about how they balance traveling the world to compete and still being able..


Here we are with the second stop on the 486 part series known as the Tri-Cities Nacho Tour. We have a lot of nachos to go, so let's get right to it.
Billing itself as The Authentic Irish Pub in Newport Village, St. James's Well has long been a staple of the village community. I'm going to have to call shenanigans on the "Authentic Irish Pub" line. Unlike a real Irish pub, the service is friendly and the food is actually good. So with Nacho Tour compatriot Mike and I again at the table with Groupon in hand, let's bring on the nachos.
First thing we noticed was the presentation. The sour cream, guacamole, and salsa came in this handy three cup dish with a raised rack around the nachos. Makes it much easier to dip and gives the overall impression of being lovingly prepared right off the bat.
Moving into the actual chips, nice colour variety, not too salty, but very well rounded. A good amount of cheese was layered throughout the plate, so cheese distribution was great. Mike tells me the salsa and guacamole was excellent. The vegetables were great. Nice sized chunks of onion and tomato, with a healthy helping of jalapeños that gave the nachos that little kick. The only drawback for this helping of Mexi goodness was they were a little dry. A few seconds earlier out of the oven and it would have been a home run. Overall though, these were excellent nachos, and I don't hesitate to recommend checking out St. James's Well for the atmosphere, the live music on Friday and Saturday nights, and the nacho goodness.
Tri-City Nacho Tour Score: 4 out of 5 nachos.
I love the nachos at Santa Rosa in Port Coquitlam. They make their own home made chips at their restaurant.


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Everything has some disadvantages so you can't expect a life insurance policy perfect. A Higher Premium is the biggest drawback. Comparing with term life insurance you may have to pay three to four times more for this. You may find some insurance companies those are not willing to provide loan facility.
After deciding all these things you can go get whole life plan for an elderly. Which policy you will choose is completely up to you. Take time to think and made the right decision.


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Home > Article
VOL. 40 | NO. 19 | Friday, May 6, 2016
FDA will require e-cigarettes and contents to be reviewed
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From (email):
WASHINGTON (AP) — The federal government announced sweeping new rules Thursday for electronic cigarettes that will for the first time require the devices and their ingredients to be reviewed, a mandate that could offer protection for consumers and upend a multibillion dollar industry that has gone largely unregulated.
Before brands are allowed to stay in the market, regulators will check the e-cigarettes' design and the liquid nicotine they contain. The fast-growing devices have found a foothold with teenagers.
"Millions of kids are being introduced to nicotine every year, a new generation hooked on a highly addictive chemical," Health and Human Services Secretary Sylvia Burwell said. "We cannot let the enormous progress we've made toward a tobacco-free generation be undermined by products that impact our health and economy in this way."
The rules issued by the Food and Drug Administration will also extend long-standing restrictions on traditional cigarettes to a host of other products, including e-cigarettes, hookah tobacco, pipe tobacco and nicotine gels. Minors would be banned from buying the products.
Battery-powered e-cigarettes turn the nicotine into an inhalable vapor. They lack the chemicals and tars of burning tobacco, but the cigarettes have not been extensively studied, and there's no scientific consensus on the risks or advantages of "vaping."
More than 15 percent of high school students report using e-cigarettes, up more than 900 percent over the last five years, according to federal figures.
Beginning in August, retailers will be prohibited from selling tobacco products to anyone under 18, placing them in vending machines or distributing free samples. While nearly all states already ban sales of e-cigarettes to minors, federal officials said they will be able to impose stiffer penalties and deploy more resources for enforcement.
For now, e-cigarette users may not see big changes. Companies have two years to submit their information to the FDA and another year while the agency reviews it. The review process applies to products introduced after 2007, which includes nearly all of them. Government officials said the reviews are critical to taming the "wild west" marketplace.
"With this rule, the FDA will be able to prevent misleading claims and provide consumers with information to help them better understand the risks" of tobacco, FDA Commissioner Dr. Robert Califf said.
The action comes five years after the agency first announced its intent to regulate e-cigarettes and more than two years after it floated its initial proposal.
The rules are not uniform. For example, while the FDA intends to phase out flavored cigars, it will allow flavored e-cigarettes to remain on the market, a decision that irked anti-tobacco advocates.
The changes do "nothing to restrict the irresponsible marketing of e-cigarettes or the use of sweet e-cigarette flavors such as gummy bear and cotton candy," said Matthew Myers, president of the Campaign for Tobacco-Free Kids.
The vaping industry says the lengthy federal reviews would be time-consuming and costly and could put many smaller companies out of business.
The regulations "will cause a modern-day prohibition of products that are recognized worldwide as far less hazardous than cigarettes," said Gregory Conley, president of the American Vaping Association. "If the FDA's rule is not changed by Congress or the courts, thousands of small businesses will close in two to three years."
The agency has stumbled before in its efforts to regulate the products. In 2010, a federal appeals court threw out the agency's plan to treat e-cigarettes as drug-delivery devices rather than tobacco products.
Ray Story, who filed one of the initial lawsuits against the agency, vowed to sue the government again.
"We will come out with a vengeance," said Story, CEO of the Tobacco Vapor Electronic Cigarette Association. "We're certainly not going to allow this industry to get swiped under the rug."
House Republicans are already pushing back. A House spending committee last month approved industry backed legislation that would prohibit the FDA from requiring retroactive safety reviews of e-cigarettes that are already on the market and exempt some premium and large cigars from those same regulations.
The legislation's chief author, Republican Rep. Tom Cole of Oklahoma, called the announcement an example of the "nanny-state mentality."
Lawmakers on Capitol Hill have long enjoyed a close relationship with the tobacco industry, which has already given more than $1.8 million to members of Congress this election cycle, according to the Center for Responsive Politics.
The FDA first gained authority to regulate some aspects of cigarettes and other traditional tobacco products under a 2009 law. But e-cigarettes and other vaping products were not covered by the original law.
Some smokers say they use e-cigarettes as a way to quit smoking tobacco or to cut down. However, there's not much scientific evidence supporting those claims, though officials said they are working on research.
"In the meantime, we know there are many other proven cessation tools available," Burwell said.
Sales of e-cigarettes and related vaporizers are projected to reach $4.1 billion in 2016, according to figures from Wells Fargo analyst Bonnie Herzog. After growing rapidly over several years, sales have recently begun to slow due to negative publicity and safety questions.
Retail sales are dominated by a handful of traditional tobacco companies, including R.J. Reynold's Vuse and Imperial Tobacco's blu brands. Those products are sold nationwide at convenience stores and gas stations.
Hundreds of smaller companies sell more specialized products — often with refillable "tanks" and customized flavors — at vape shops and over the Internet.
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Q: Как определить шрифт, выбранный для текста? На сайте загружены шрифты с разной жирностью для шрифта Montserrat.

на последнем рисунке красным выделены шрифты разной жирности для Montserrat.
Как определить, какой из них имеет жирность 400 ?
Можно ли как-то быстро определить нужный шрифт в инспекторе кода, кликнув по нужному тексу, в данном случае блок .info-box-title?
Список шрифтов из последнего рисунка:

*

*https://fonts.gstatic.com/s/montserrat/v7/IQHow_FEYlDC4Gzy_m8fcmaVI6zN22yiurzcBKxPjFE.woff2

*https://fonts.gstatic.com/s/montserrat/v13/JTUQjIg1_i6t8kCHKm459WxRyS7m0dR9pA.woff2

*https://fonts.gstatic.com/s/montserrat/v13/JTUQjIg1_i6t8kCHKm459WxRzS7m0dR9pBOi.woff2

*https://fonts.gstatic.com/s/montserrat/v13/JTURjIg1_i6t8kCHKm45_bZF3g3D_vx3rCubqg.woff2

*https://fonts.gstatic.com/s/montserrat/v13/JTURjIg1_i6t8kCHKm45_bZF3gnD_vx3rCs.woff2

*https://fonts.gstatic.com/s/montserrat/v13/JTURjIg1_i6t8kCHKm45_dJE3g3D_vx3rCubqg.woff2

*https://fonts.gstatic.com/s/montserrat/v13/JTURjIg1_i6t8kCHKm45_dJE3gnD_vx3rCs.woff2

*https://fonts.gstatic.com/s/montserrat/v13/JTURjIg1_i6t8kCHKm45_ZpC3g3D_vx3rCubqg.woff2

*https://fonts.gstatic.com/s/montserrat/v13/JTURjIg1_i6t8kCHKm45_ZpC3gnD_vx3rCs.woff2

*https://fonts.gstatic.com/s/montserrat/v13/JTUSjIg1_i6t8kCHKm459W1hyyTh89ZNpQ.woff2

*https://fonts.gstatic.com/s/montserrat/v13/JTUSjIg1_i6t8kCHKm459WlhyyTh89Y.woff2

redpajama_set_name: RedPajamaStackExchange


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