text:
\section{Introduction}

Several inverse strategies require the solutions of multiple forward problems that, with subsequent optimizations, converge to the desired result. In this context, direct solutions (as opposed to iterative ones) are preferable because they are favorably performing when dealing with multiple right-hand-side problems.

Among forward solution strategies, the boundary element method (BEM) is a powerful technique to model time-harmonic electromagnetic scattering from arbitrary geometries. Its advantages are, among others, that only the scatterer's boundary needs to be discretized and that it automatically enforces the radiation conditions. A popular choice as a forward solution equation is the Electric Field Integral Equation (EFIE). Although this formulation is widespread, its numerical solution comes with its own set of challenges: the linear systems that stem from its discretization are dense and ill-conditioned, with a condition number that grows with the inverses of the frequency and the average mesh edge length \cite{adrianElectromagneticIntegralEquations2021}.

On the one hand, fast algorithms such as the fast multipole method are commonly used to obtain a solution in linear or quasi-linear time and memory complexities. On the other hand, the conditioning problem is usually tackled by Calderón preconditioning \cite{andriulli_well-conditioned_2013}, multilevel schemes, algebraic approaches, etc. In fact, the classical approach is to separate the problem of acceleration from the one of regularization in order to fix them independently.

This work will present a different paradigm, proposing a new family of techniques that combine these two aspects by taking advantage of the common structure present in fast solvers and preconditioners for the matrices of discretized boundary integral operators. In particular, by an operation of regularization we obtain a formulation from which a fast solver naturally emerges. This effect, however, cannot be obtained in a straightforward manner because of the spectral pollution of standard integral operators. A key enabling factor will thus be a recently introduced tool: the quasi-Helmholtz  Laplacian Filter that will be able to fix the spectral behavior of the operators involved allowing for their fast direct inversion with a focus on problems from low to moderate frequencies.

Numerical results will corroborate the theory, showing the practical relevance of all newly proposed techniques.

\section{Notation and Background}

Consider a smooth, closed curve $\Gamma_\mathrm{2}\subset\mathbb{R}^2$ modeling a PEC scatterer in a medium of permeability $\mu$, permittivity $\epsilon$, wavenumber $k=\omega \sqrt{\mu \epsilon}$, and impedance $\eta = \sqrt{\mu/\epsilon}$. The TE electric and magnetic field integral equations (TE-EFIE and TE-MFIE) that relate the tangential component of the current $j_t$ with the tangential component of the incident electric field $e_t^\mathrm{inc}$ and the out-of-plane component of the incident magnetic field $h_z^\mathrm{inc}$, respectively, are
\begin{align}
    (\im k)^{-1} \op N j_t &= - \eta^{-1} e_t^\mathrm{inc}  \label{eq:TE-EFIE}\\
    \left(\op I/2 -  \op D \right) j_t &= - h_z^\mathrm{inc}  \label{eq:TE-MFIE}
\end{align}
with
\begin{align}
\left( \op N j_t \right)(\vr) &\coloneqq -\frac{\partial}{\partial n} \int_{\Gamma_2} \frac{\partial}{\partial n'} g_\mathrm{2}(\vr, \vr') j_t(\vr') \diff \vr'\\
\left( \op D j_t \right)(\vr) &\coloneqq  \int_{\Gamma_2} \frac{\partial}{\partial n'} g_\mathrm{2}(\vr, \vr') j_t(\vr') \diff \vr'\, ,
\end{align}
and $g_\mathrm{2}(\vr,\vr') \coloneqq \im/4 H_0^{1}(k|\vr-\vr'|)$. Leveraging the Calderón formula $\op S \op N = \op I / 4 + \op C_2$, where $\op I$ is the identity, $\op C_2$ is a compact operator, and $\left(\op S j_t \right)(\vr) \coloneqq  \int_{\Gamma_2}  g_\mathrm{2}(\vr, \vr') j_t(\vr') \diff \vr'$, \eqref{eq:TE-EFIE} can be turned into a second kind integral equation.

After expanding the unknown current density with  piecewise linear Lagrange interpolants $\{\varphi_i\}$, defined on a mesh of $\Gamma_2$ made out of segments of average length $h$, as $j_t \approx \sum_{i=1}^N [\vec j_2]_i \varphi_i$ and after Galerkin testing, the discretized forms of the normalized Calderón TE-EFIE and normalized TE-MFIE are
\begin{gather}
    \mat Z_{2} \vec j_2 = \vec v_{e,2} \label{eq: DiscCaldTEEFIE}\,, \\
    (\mat I /2 - \mat G_{\varphi \varphi}^{-\frac{1}{2}} \mat D \mat G_{\varphi \varphi}^{-\frac{1}{2}}) \vec j_2 = \vec v_{h,2} \,,\label{eq: DiscTEEFIE}
\end{gather}
where
$\mat Z_{2} \coloneqq (\im k)^{-1} \mat G_{\varphi \varphi}^{-\frac{1}{2}} \mat S \mat G_{\varphi \varphi}^{-1} \mat N \mat G_{\varphi \varphi}^{-\frac{1}{2}}$,
$\vec v_{e,2} \coloneqq - \eta^{-1} \mat G_{\varphi \varphi}^{-\frac{1}{2}} \mat S \mat G_{\varphi \varphi}^{-1} \vec e_2$, $\vec v_{h,2} \coloneqq - \mat G_{\varphi \varphi}^{-\frac{1}{2}} \vec h_2$,
$[\mat N]_{ij}\coloneqq\langle \varphi_i , \op N(\varphi_j) \rangle$, $[\mat S]_{ij} \coloneqq \langle \varphi_i , \op S(\varphi_j) \rangle$, $[\mat D]_{ij} \coloneqq \langle \varphi_i , \op D(\varphi_j) \rangle$, $[\vec e_2] _i \coloneqq \langle \varphi_i, e_t^\mathrm{inc} \rangle$, $[\vec h_2] _i \coloneqq \langle \varphi_i, h_z^\mathrm{inc} \rangle$, $[\mat G_{\varphi \varphi}]_{ij} \coloneqq \langle \varphi_i , \varphi_j \rangle$, and $\langle a, b\rangle \coloneqq \int_{\Gamma_2} a b \diff s$.

In the following, we also consider the 3-dimensional counterpart of the problem described above. Consider a closed, simply-connected domain $\Omega \subset \mathbb{R}^3$ delimited by smooth boundary $\Gamma_3$ and associated outgoing unit surface normal vector field $\uv{n}$. The electric current density $\vt j$ induced on the object by impinging electric and magnetic fields $\vt{e}^\mathrm{inc}$ and $\vt{h}^\mathrm{inc}$ is obtained by solving the 3D EFIE or MFIE
\begin{gather}
 \vecop T \vt j \coloneqq \im k \vecop T_\mathrm{A} \vt j + (\im k)^{-1} \vecop T_\mathrm{\Phi} \vt j  = - \uv{n} \times\vt e^\mathrm{inc}\,, \label{eq:EFIE} \\
 \vecop M \vt j \coloneqq \left( \vecop I /2 + \vecop K \right) \vt j  = \uv{n} \times\vt h^\mathrm{inc}\,, \label{eq:MFIE}
\end{gather}
where $\left( \vecop T_\mathrm{A} \vt j \right) (\vr):= \uv{n}(\vr) \times \int_{\Gamma_3} g_3(\vr,\vr') \vt j(\vr') \diff \vr'$, $\left( \vecop T_\mathrm{\Phi} \vt j \right)(\vr):= - \uv{n}(\vr) \times \nabla_{\vr}\int_{\Gamma_3} g_3(\vr,\vr') \nabla_{\vr'} \cdot \vt j(\vr') \diff \vr' $, $\left( \vecop K \vt j \right) (\vr):= - \uv{n}(\vr) \times \int_{\Gamma_3} \nabla_r g_3(\vr,\vr') \times \vt j(\vr') \diff \vr'$, and $g_3(\vr,\vr') \coloneqq \exp{(\im k |\vr - \vr'|)}/|\vr - \vr'|$ is the free-space Green's function. Leveraging the identity $\vecop T^2 = -\vecop I  / 4 + \vecop C_3 $, a second kind integral equation can be obtained from the EFIE, yielding the standard Calderón EFIE \cite{andriulli_well-conditioned_2013}
\begin{equation} \label{eq:CaldEFIE}
 -\vecop T^2 \vt j = \vecop T \left( \uv{n} \times\vt{e}^\mathrm{inc} \right)\,.
\end{equation}
To discretize \eqref{eq:EFIE} following a Petrov-Galerkin approach, we first expand the unknown current density as $\vt j \approx \sum_{i=1}^N [\vec j_3]_i \vt{f}_i$, where $\{\vt{f}_i\}$ is the set of Rao-Wilton-Glisson (RWG) basis functions defined on a triangular discretization of $\Gamma_3$ in which the average edge length of the triangles is denoted $h$. We also define on this discretized geometry the sets of rotated RWG functions $\{ \uv{n} \times \vt{f}_i \}$, Buffa-Christiansen (BC) functions $\{\vt{\tilde{f}}_i\}$ \cite{andriulli_well-conditioned_2013}, rotated BC functions $\{\uv{n} \times\vt{\tilde{f}}_i\}$, pyramid functions $\{\lambda_i\}$, and patch functions $\{p_i\}$. We also define the (potentially mixed) Gram matrices for these bases as
$[\mat G_{\vt u \vt v}]_{ij} \coloneqq \langle \vt u_i, \vt v_j\rangle$, and $[\mat {\tilde{G}}_{\vt u \vt v}]_{ij} \coloneqq \langle \uv{n} \times \vt{u}_i, \vt{v}_j\rangle$.
Finally, upon adequate Petrov-Galerkin testing, the discrete normalized Calderón EFIE \eqref{eq:CaldEFIE} and normalized MFIE \eqref{eq:MFIE} are
\begin{gather}
   \mat Z_3 \vec j_3 = \vec v_{e,3}  \label{eq:DiscCaldEFIE}\,,\\
   \left( \mat I /2 + \mat{\tilde{K}} \right) \vec j_3 = \vec v_{h,3} \,,
\end{gather}
where
\begin{gather}
    \mat Z_3 = -\mat G_{f f}^{\frac{1}{2}} \tmat G_{\tilde{f} f}^{-1} \mat{T_{BC}} \tmat G_{f \tilde{f}}^{-1} \mat{T} \mat G_{f f}^{-\frac{1}{2}}\,, \\
    \mat{\tilde{K}} = \mat G_{f f}^{\frac{1}{2}} \tmat G_{\tilde{f} f}^{-1} \mat K  \mat G_{f f}^{-\frac{1}{2}} \,, \\
    \vec v_{e,3} = \mat G_{f f}^{\frac{1}{2}} \tmat G_{\tilde{f} f}^{-1} \mat{T_{BC}} \tmat G_{f \tilde{f}}^{-1} \vec e_3\,,\\
    \vec v_{h,3} = \mat G_{f f}^{\frac{1}{2}} \tmat G_{\tilde{f} f}^{-1}  \vec h_3\,,
\end{gather}
$[\mat T]_{ij}\coloneqq\langle \uv n \times \vt{f}_i , \vecop T(\vt{f}_j) \rangle$, $[\mat K]_{ij}\coloneqq\langle \uv n \times \vt{\tilde f}_i , \vecop K(\vt{f}_j) \rangle$,
$[\mat{T_{BC}}]_{ij} \coloneqq \langle \uv n \times \vt{\tilde{f}}_i , \vecop T(\vt{\tilde{f}}_j) \rangle$,
$[\vec e_3]_i \coloneqq \langle \uv n \times \vt{f}_i, \uv n \times \vt e^\mathrm{inc} \rangle$, $[\vec h_3]_i \coloneqq \langle \uv n \times \vt{\tilde{f}}_i, \uv n \times \vt h^\mathrm{inc} \rangle$,
and $\langle \vt a, \vt b\rangle\coloneqq\int_{\Gamma_3} \vt a \cdot \vt b \diff s$.

To allow for complete analyses of the matrices of the 3-dimensional problem, we introduce the loop-to-RWG and star-to-RWG transformation matrices $\mat \Lambda \in \mathbb{R}^{N \times N_l}$ and $\mat \Sigma \in \mathbb{R}^{N \times N_s}$ that are mappings between the solenoidal and RWG subspaces, and between the non-solenoidal and RWG subspaces, respectively. Here $N_s$ is the number of triangles in the discretization of $\Gamma_3$ and $N_l$ the number of vertices. These mappings can be defined using the notation illustrated in Fig.~\ref{fig:RWGconv} as
\begin{equation}
    [\mat \Sigma]_{ij} \coloneqq
    \begin{dcases}
        \phantom{-}1 & \text{if triangle $j$ is $c_i^+$,}\\
        -1 & \text{if triangle $j$ is $c_i^-$,}\\
        \phantom{-}0 & \text{otherwise,}
    \end{dcases}
\end{equation}
and
\begin{equation}
    [\mat \Lambda]_{ij} \coloneqq
    \begin{dcases}
        \phantom{-}1 & \text{if vertex $j$ is $v_i^+$,}\\
        -1 & \text{if vertex $j$ is $v_i^-$,}\\
        \phantom{-}0 & \text{otherwise.}
    \end{dcases}
\end{equation}
In addition to these standard definitions, we also introduce their counterparts acting on orthonormalized bases $\tmat \Sigma = \mat G_{f f}^{-1/2} \mat \Sigma \mat G_{pp}^{1/2}$ and $\tmat \Lambda = \mat G_{f f}^{1/2} \mat \Lambda \mathbf{G}_{\lambda \lambda}^{-1/2}$.
These transformation matrices can also be used to form the quasi-Helmhotlz projectors \cite{andriulli_well-conditioned_2013}
\begin{align}
    \mat P^\Sigma &\coloneqq \mat\Sigma \left(\mat\Sigma^T\mat\Sigma\right)^{+} \mat\Sigma^T\,,\\
    \matd P^\Lambda &\coloneqq \mat\Lambda \left(\mat\Lambda^T\mat\Lambda\right)^{+} \mat\Lambda^T\,,
\end{align}
and their counterparts based $\tmat \Sigma$ and $\tmat \Lambda$
\begin{align}
    \mat P^{\tilde\Sigma} &\coloneqq \tmat\Sigma \left(\tmat\Sigma^T\tmat\Sigma\right)^{+} \tmat\Sigma^T\,,\\
    \matd P^{\tilde\Lambda} &\coloneqq \tmat\Lambda \left(\tmat\Lambda^T\tmat\Lambda\right)^{+} \tmat\Lambda^T\,.
\end{align}

\begin{figure}
        \centering
        \input{Figures/rwg.tex}
        \caption{Illustration of the conventions used in defining the RWG functions $\{\vt f_i\}$: the support of $\vt f_i$ is the union of the triangles $c_i^+$ and $c_i^-$, that have the RWG-defining, oriented edge $\vt e_i$ in common and are complemented by $\vr_i^+$ and $\vr_i^-$, respectively.}

        \label{fig:RWGconv}
\end{figure}

From the boundary element matrices $\mat Z_{2,3}$ of the normalized Calderón TE-EFIE (2D) and normalized Calderón EFIE (3D), we define the matrices $\mat C_{2,3}$
\begin{equation}
    \mat C_{2,3} \coloneqq \mat Z_{2,3} - \mat I/4\,,
\end{equation}
where $\mat I$ is the identity matrix. In the following, to simplify the notation, we will omit the subscripts $_2$ and $_3$ when the developments apply to both 2-dimensional and 3-dimensional problems.

\begin{comment}
\td{CH: Reform above compact part, introduce Sigma and Lambda}

\td{CH: Remove definitions below this}
the TM Magnetic Field Integral Equation (TM MFIE)
\begin{equation}
(\frac{\mu}{2}+D'_k \mu) (r) = \frac{\mu}{2}+ \frac{\partial}{\partial n} \int g(r, r') \mu(r') dr'= H^{inc} to correct
\end{equation}
the TE EFIE
\begin{equation}
 (N \mu) (r) = -\frac{\partial}{\partial n} \int \frac{\partial}{\partial n'} g(r, r') \mu(r') dr' = E^{inc}
\end{equation}
and the TE MFIE
\begin{equation}
 -\frac{1}{2}+D=H_z^{inc}
\end{equation}
\td{The above definitions need fixing...}
With the definitions above the Calderón identities read
\begin{equation}
 N S = -\frac{I}{4}+D^2
\end{equation}
and
\begin{equation}\label{eq:CaldTE}
 S N= -\frac{I}{4}+D'^2
\end{equation}
When discretizing the equations using the boundary element method, the following discretized linear systems are obtained
\begin{equation}
\mat S_k \vet\mu = \vet E
\end{equation}
\begin{equation}
\mat N_k \vet\mu = \vet E
\end{equation}
\begin{equation}
\frac{\mat G}{2}+\mat D'_k \vet\mu = \vet H
\end{equation}
\begin{equation}
\frac{\mat G}{2}+\mat D_k \vet\mu = \vet H
\end{equation}
while from a Calderón identities one common discretization the following preconditioned equations are obtained
\begin{equation}
 \mat S_k \mat G^{-1}\mat N_k \vet\mu = \mat S_k \mat G\vet E
\end{equation}

\todo[inline]{DC: in almost all equations the unknown j is missing}
\todo[inline]{DC: also inverse on the G in the RHS, here and in 42, 43, 44, 46, 50}
and
\begin{equation}
 \mat N_k \mat G^{-1}\mat S_k \vet\mu = \mat N_k \mat G^{-1} \vet E
\end{equation}

We will require in the following $\mat C= \mat T \mat T - \mat I/4$ the compact part of $\mat T \mat T$ and we will also need to use the standard Loop and Star matrices $\mat \Sigma$ and $\mat \Lambda$ (the reader should refer to [] for an explicit definition).
\end{comment}

\section{Laplacian Filters}

In this section we leverage on operator filtering results presented in \cite{merlini_laplacianFilters_2022}.
The following notation will be used for the singular value decomposition (SVD) \cite{golub_matrix_2012} of a symmetric matrix $\mat X \in \mathbb{R}^{N_{x}\times N_{x}}$
\begin{equation}
    \mat X=\mat V_{\mat X} \mat S_{\mat X} \mat V_{\mat X}^T
\end{equation}
where $\sigma_{\mat X,i}=\left[\mat S_{\mat X} \right]_{ii}$ are the singular values  of $\mat X$.
We define the diagonal matrix $\mat S_{\mat X,n}$ as
\begin{equation}
  \left[\mat S_{\mat X,n} \right]_{ii} =
  \begin{dcases}
    \sigma_{\mat X,i} &  \text{if } i >  N_{x}-n\,,\\
   \phantom{-}0 & \text{otherwise,}
  \end{dcases}
  \label{eq:def_stars}
\end{equation}
and the filtered matrix $\mat X_n$ as
\begin{equation}\label{eq:svdX}
\mat X_{n} \coloneqq \mat V_{\mat X} \mat S_{\mat X,n} \mat V_{\mat X}^T\,.
\end{equation}

\subsection{Two-Dimensional Case}
Consider the discretized two dimensional variational Laplacian $\mat L$ where
\begin{equation}
    [\mat L]_{ij}=\langle\nabla\varphi_i,\nabla\varphi_j\rangle\,,
\end{equation}
and its orthonormalized counterpart $\tmat L \coloneqq \mat G_{\varphi \varphi}^{-1/2} \mat L \mat G_{\varphi \varphi}^{-1/2}$.
Consistently with the general definition \eqref{eq:svdX}, we obtain the filtered Laplacian
\begin{equation}
\mat L_{n} \coloneqq \mat V_{\mat L} \mat S_{\mat L,n} \mat V_{\mat L}^T
\end{equation}
from which we can define the associated Laplacian filter
\begin{equation}\label{eq:LapFilter}
\mat P^L_{n} \coloneqq \mat L_{n}^+\mat L_{n}=\mat V_{\mat L} \mat S_{\mat L,n}^{+}\mat S_{\mat L,n} \mat V_{\mat L}^T\,.
\end{equation}
The reader should note that the SVD is used in the definitions and  will never be necessary in practice, as the FFT will be used to keep the quasi-linear complexity.
In the definitions above, the Laplacian matrix $\mat L$ should be replaced by $\tmat L$ when dealing with non-homogeneously discretized structures as is assumed in the following.

\subsection{Three-Dimensional Case}

Following \cite{merlini_laplacianFilters_2022}, we define the primal filters as
\begin{align}
    \mat P_n^\Sigma&=\mat\Sigma \left(\mat\Sigma^T\mat\Sigma\right)^{+}_n \mat\Sigma^T\,,\\
    \mat P_n^{\Lambda H}&=\mat\Lambda \left(\mat\Lambda^T\mat\Lambda\right)^{+}_n \mat\Lambda^T +\mat I-\mat P^\Sigma-\matd P^\Lambda\,,\label{eq:defLamH}
\end{align}
and the dual ones as
\begin{align}
\matd P_n^\Lambda&=\mat\Lambda \left(\mat\Lambda^T\mat\Lambda\right)^{+}_n \mat\Lambda^T\,, \\
    \matd P_n^{\Sigma H}&=\mat\Sigma \left(\mat\Sigma^T\mat\Sigma\right)^{+}_n \mat\Sigma^T+\mat I-\matd P^\Lambda-\mat P^\Sigma\,. \label{eq:defSigH}
\end{align}
The above loop and star matrices $\mat \Lambda$ and $\mat \Sigma$ should be replaced by $\tilde{\mat \Lambda}$ and $\tilde{\mat \Sigma}$
when dealing with non-homogeneously discretized structures as is assumed in the following.

\section{Filters Based Fast Direct Solver}

The filters defined in the previous section can be used to obtain a fast direct solver, in the low-frequency regime, for the two-dimensional and three-dimensional cases.
\subsection{Two-dimensional case}
Considering first the TE-EFIE formulation
\begin{equation}
     \mat Z_2 \vec j_2 = \vec v_{e,2}\,,
\end{equation}
the compact part of which is represented by the matrix $\mat C_2$, the filtered equation we propose reads
\begin{equation}
\left(\mat I/4 + \mat P^{L}_n \mat C_2 \right)\vec j_2 = \vec v_{e,2}\,.
\end{equation}
Dually, for the TE-MFIE, the compact part is just the operator $\op D$, so that the filtered TM-MFIE reads
\begin{equation}
\left(\mat I /2+\mat P^{L}_n \mat D \right)\vec j_2 = \vec v_{h,2}\,.
\end{equation}

By combining the two previous formulations, after localizing the preconditioner
as is standard in Calderón-preconditioning and grouping the compact filtered parts, we obtain the filtered Yukawa-Calderón TE-CFIE
\begin{equation}
\left(\frac{(1+2\alpha)}{4}\mat I+ \mat P^{L}_n \left(\mat C_2+\alpha\mat D\right)\right)\vec j_2
=      \vec v_{e,2} + \alpha\vec v_{h,2}\,.
\end{equation}

\subsection{Three-dimensional case}

Similarly, in the 3D case, the filtered EFIE we propose is
\begin{equation}
\left(\mat I/4 + (\mat P_n^{\Lambda H} + \mat P_n^{\Sigma}) \mat C_3\right) \vec j_3 = \mat v_{e,3}\,,
\end{equation}
and, because its compact part is just the operator $\mat{\tilde{K}}$, the filtered MFIE reads
\begin{equation}
\left(\mat I/2 + (\mat P_n^{\Lambda H} + \mat P_n^{\Sigma}) \mat{\tilde{K}} \right) \vec j_3 =  \vec v_{h,3}\,.
\end{equation}

By combining the previous two formulations, after localizing the preconditioner
as is standard in Calderón preconditioning, and grouping the compact filtered parts, we obtain the filtered Yukawa-Calderón CFIE
\begin{multline}
\left(\frac{(1+2\alpha)}{4}\mat I + (\mat P_n^{\Lambda H} + \mat P_n^{\Sigma}) \left( \mat C_3 + \alpha \mat{\tilde{K}} \right) \right) \vec j_3\\ = \vec v_{e,3} + \alpha \vec v_{h,3}\,.
\end{multline}

\subsection{Inversion of the structured matrices}

Each of the above equations is in the form $\beta \mat I + \mat C$, where $\beta$ is a constant and $\mat C$ is a low rank matrix that can be expressed in the form $\mat C\eqqcolon\mat U\mat V^T$ by using a skeleton-detecting algorithm \cite{bebendorf_hierarchical_2008,liberty_randomized_2007}. The peculiar single-skeleton structure we obtain in this way allows for a linear-in-complexity direct inverse in the form
\begin{multline}
    \left(\beta\mat I + \mat C\right)^{-1}=\left(\beta \mat I + \mat U\mat V^T\right)^{-1}=\\
    \mat I \beta^{-1} - \beta^{-2}\mat U \left( \mat I_r + \beta^{-1}\mat V^T \mat U \right)^{-1} \mat V^T\,,
\end{multline}
where $\mat I_r$ is the identity matrix that has as dimension the rank of $\mat C$, using the Woodbury matrix identity \cite{henderson_deriving_1981}.

\begin{table*}[t]
\caption{Compression efficiency and solution accuracy obtained with the perturbed circle with a compression tolerance of $\epsilon = \num{e-3}$ and filtering point of $200$.}
\label{table}
\centering
\begin{tabular}{cccccc}
\hline
Number of unknowns & 1004 & 2008 & 4016 & 8032 \\
\hline
Solution relative error & $\num{0.23e-3}$& $\num{0.24e-3}$& $\num{0.24e-3}$& $\num{0.24e-3}$\\
\hline
Memory usage without compression (MBytes) & \num{16}& \num{64}& \num{258}&  \num{1032}\\
\hline
Memory usage skeleton (MBytes) & \num{2.37}& \num{1.54}& \num{3.08}& \num{6.16}\\
\hline
\end{tabular}
\end{table*}

\section{Numerical Results}

We first evaluated the fast direct solution scheme on an ellipse characterized by a semi-major axis of \SI{1.42}{\meter} and a semi-minor axis of \SI{1.32}{\meter} and illuminated by a dipole source radiating at $k=\SI{0.4}{\radian \per \meter}$. Figure~\ref{fig:spectra} shows the projections of the compact part ($\mat C$), the filtered compact part ($\tmat{C} = \mat P^L_n \mat C$), the compressed and filtered compact part ($\mat U \mat V^T$), and the dipole right hand side (RHS) $\vec v$ on the singular vectors of the filter $\mat P^L_N$. The projection of $\mat C$ on this basis makes apparent the spectral deviation induced by the discretization error (i.e. growth of the projected magnitude for increasing singular value index) which prevents its proper compression using standard techniques. The projection of $\mat{\tilde{C}}$ is free from this shortcoming, thanks to the filtering which allows for the compression of $\mat{\tilde{C}}$ at any tolerance above the last singular value filtered out (see Fig.~\ref{fig:spectra}). Moreover, the projected RHS in Fig.~\ref{fig:spectra} is band-limited with respect to the filter, which ensures that the filtering does not deteriorate the precision of the solution.

To demonstrate the accuracy of the solution and the compression efficiency, we show in Fig.~\ref{fig:rank_re_disc} the error on the solution and the inner rank of the skeleton as a function of the inverse edge length of the discretized ellipse. For increasing refinement, the error with respect to the non compressed operator decreases and the rank saturates to a constant, which validates the effectiveness of the scheme.

Finally, the ellipse has been substituted by a perturbed circle with radius $r(\theta)=2 + 0.2 \sin(8\theta)$. As shown in Table~\ref{table}, the storage requirement for the skeleton, from a given refinement, grows linearly with the number of unknowns and, at the same time, the error on the solution remains below the desired tolerance.

\begin{figure}
\centering
\includegraphics[width=1\columnwidth]{Figures/spectrum_operator2.png}
\caption{Projections of the compact part ($\mat C$), the filtered compact part ($\mat{\tilde{C}}$), and the dipole RHS on the singular vectors of the filter $\mat P^L_N$. The yellow markers indicate which singular values/singular vectors are kept after compression.}
\label{fig:spectra}
\end{figure}

\begin{figure}
\centering
\includegraphics[width=1\columnwidth]{Figures/error_sources_discretization2.png}
\caption{Accuracy of the solution and inner rank of the skeleton as a function of the inverse edge length, with a compression tolerance of $\epsilon = \num{6e-6}$ and a filtering point of $21$.}
\label{fig:rank_re_disc}
\end{figure}

\begin{comment}
\begin{figure}
    \centering
    \includegraphics[width=0.3\columnwidth]{Figures/wavy_circle.png}
    \caption{Wavy circle}
    \label{fig:wavy_circle}
\end{figure}
\end{comment}

\section*{Acknowledgment}

This work has been funded in part by the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation program (ERC project 321, grant No.724846), in part by the Italian Ministry of University and Research within the Program PRIN2017, EMVISIONING, under Grant 2017HZJXSZ, CUP:E64I190025300, and in part by the ANR Labex CominLabs under the project ``CYCLE''.

\bibliographystyle{IEEEtran}

redpajama_set_name: RedPajamaArXiv


Notes: Great family location heavily wooded by cedar, pine, and hardwood trees, and is favored by Silverleaf Owners seeking quality golf and nightly entertainment in nearby Branson. Holiday Hills Call Charles Young at (800) 733-8846 ext:6143 to speak with a representative. At Timeshare-Resale-Broker.com, you can buy timeshare at a discount today!


text:
Q: Access form elements on different Frames in VBScript I have these three frames on a website.
<frame scrolling="AUTO" src="../../vix/thalada/Rangasamy?MokkaKumuta1234567" name="AAN">

<frame scrolling="AUTO" src="../../vix/thalada/Rangasamy?MokkaK****13245678" name="BAN">

<frame scrolling="AUTO" src="../../vix/thalada/Rangasamy?MokkaK****85234175" name="CAN">

This is how it goes:
Set oIE = CreateObject("InternetExplorer.application")

        oIE.Visible = True
        oIE.navigate ("https://ec.rcuwebportal.au.eds.com/cics/r1cb/rm0p00ba?cb246")

     oIE.Document.getElementsByTagName("a").item(0).Click       // This works and it clicks on a image button in the frame named AAN. Fine

Next when I tried to access another text box that is present in the frame named BAN , I got the object not found error. Obviousy, because I'm still the frame AAN , but the element belongs to frame BAN.
Below is the textbox that is present in the frame named BAN.
<input type="text" maxlength="30" size="30" value=" " name="BAFREENAME"></input>

How do I access the form control on this frame? Any ideas?
Appreciate your help.

A: You can access all elements off of the frames by first, iterating through the frames, then referencing their contentWindow.document.
Dim oIE, aHTML, oIFrames, frame, i, obj, ifHTML: i = 1
Set oIE = CreateObject("InternetExplorer.application")
oIE.Visible = True

'This page must be remote...
oIE.navigate ("http://your/website...")
'local websites (file://) will return access denied on IFRAME/Frame Content viewing.

Do
Loop While oIE.ReadyState < 4 And oIE.Busy

Set aHTML = oIE.document

Set iframes = aHTML.getElementsByTagName("frame")

For Each frame In iframes
    Set inputs = frame.contentwindow.document.getElementsByTagName("input")
    For Each obj In inputs
        If obj.className = "BAFREENAME" Then
            'MsgBox "found BAFREENAME in frame:" & i
        End If
    Next
i = i + 1
Next
'MsgBox "done"

redpajama_set_name: RedPajamaStackExchange


text:
Balālam (persiska: بلالم) är en ort i Iran.   Den ligger i provinsen Gilan, i den norra delen av landet,  km nordväst om huvudstaden Teheran. Antalet invånare är .

Terrängen runt Balālam är huvudsakligen platt, men åt sydväst är den kuperad. Den högsta punkten i närheten är  meter över havet,  km söder om Balālam. Runt Balālam är det ganska tätbefolkat, med  invånare per kvadratkilometer. Närmaste större samhälle är Rūdsar,  km nordväst om Balālam. Trakten runt Balālam består till största delen av jordbruksmark.

Medelhavsklimat råder i trakten. Årsmedeltemperaturen i trakten är  °C. Den varmaste månaden är augusti, då medeltemperaturen är  °C, och den kallaste är januari, med  °C. Genomsnittlig årsnederbörd är  millimeter. Den regnigaste månaden är november, med i genomsnitt  mm nederbörd, och den torraste är augusti, med  mm nederbörd.

Kommentarer

Källor

Orter i Gilan

redpajama_set_name: RedPajamaWikipedia


To get you on the right track to nurture and convert potential customers, we've provided a list of the top lead generating pages your site must have.
Your homepage is the first impression people have of your brand. You'll want to make sure it's eye catching and represents the brand you want to display.
If you specialise in something in particular eg. apartments or acreage houses or even just your area, make sure that it is clearly visible and your visitors can get a good idea of who you are as an agent.
The design and layout of your page is crucial. You have a professional brand offline so it is essential that your website is professionally designed and matches that.
Make it easy to contact and find more about you.
When people come to your website the majority of time they are looking for more information about you and then to get in touch with you.
You want to make it as easy as possible for people to find this information.
Denis Najzar has the two options available as soon as you land on the website.
Entice visitors to delve deeper into your website's content with things like profile videos, blog posts and listing photo's.
This engaging content will get people to stay on your website longer as they consume the information. As they are reading and watching they are being pre-sold on why you are the best choice for them as an agent.
A profile video of yourself is a great way to engage your visitors and show more about yourself as an agent.
The ease of use of your site is essential. People need to understand how to navigate around and find what they are looking for as soon as they load the website or they will leave.
Make sure your menu is clear and easy to navigate.
User experience is so important that Google even use it as a ranking factor to decide who will appear on the first page.
Your site should flow easily and have multiple calls to action to generate leads.
On your homepage you should have clear options for people to get in touch with you and to request an appraisal.
2. About Page – Why You?
However most visitors will want to learn more about your story and why you are the best agent for the job.
This section should strike a balance between highlighting your skills as an agent, and how you got your start in real estate.
People want to relate to people they do business with.
This section allows you to give people more context about why you are the best agent for the job.
On this page you can include some awesome results you have gotten for clients, your local community involvements and how you market their property.
It is important to have clear ability for people to contact you and request an appraisal on this page.
Below is an example of Joanna Gianniotis's "About" page or "Why Joanna" page. You can view the actual page here.
If the idea of blogging worries you, fear not. Blogging is the number one tool for driving traffic to your site–even ahead of SEO (Google traffic), and a great way to improve your real estate marketing efforts.
A blog is a great way to improve your marketing efforts and give's you a platform to communicate with your audience.
A blog allows you to provide updates on changes within your local market or current happenings in your community.
Consistent blogging shows people that you're an authority figure in real estate in your area, which will ultimately generate more business for you.
The best part? Since blog posts are usually written in a casual style, posting regularly is a great way to let your personality shine through while connecting with your leads.
Check out this article that highlights how real estate agents should be using a blog in 2017.
Community pages are a place to show everything that is great about your area.
Show the best businesses and attractions, and highlight the type of lifestyle that is associated with the area.
Show the closest schools, public transport, and medical facilities.
Think about the types of clients you normally work with, and which demographic they fall into. Then tailor the content to their interests.
Images of the local parks, restaurants and iconic houses are awesome on these pages.
Include the latest real estate statistics on these pages and have a call to action for people to request an appraisal.
The content you are putting out on your local area pages show that you are a local, just like your vendor, that knows what's going on in the community and understands the local market.
These pages will become some of your most used pages for leads.
It's vital to engage people through attractive images and video, along with the data to make purchasing and selling decisions.
These pages are great for generating you leads. If you are talking to somebody and one of these comes up it is a great way to subtly guide them back to your website to get the information. Then once they are on your website they will have the opportunity to see more about you, your testimonials and past results.
This strategy works incredibly well and is a great way to drive traffic to your website and leads without being pushy.
Your prospects will be interested in this page when they are thinking of selling. Have a field to capture their details so as you can contact them for their appraisal.
A layout like the one below works well. They have included a video testimonial of an awesome result that they got for a client. This will help to encourage people to fill out the form.
If you don't have a testimonial video don't worry. A simple page that just says "Find out an how much your home is worth" can work well too.
After people have read through your website they may want to keep up to date with you in the future as they may not be ready to sell yet. You can then send your leads market research, testimonials, or your latest blog posts.
Give people the option to sign up to your database. The more helpful information that is on your website the more likely people are going to be to sign up as they will be hoping to receive more of that helpful information in the future.
You can even incentivise people to sign up in return for something. Eg. you could shoot a quick video on the 5 things you can do to add $5000 value to your house.
For people to get the information they need to sign up to your newsletter.
Having a generic landing page like the one below can work really well to generate leads. When you are doing direct marketing, vendors can prefer to enter their details into a website that looks like it is independent. A generic landing page like this can be a great introductory step to you.
These pages can be really cheap and simple to set up and work great.
A simple landing page like this works really well when combined with Facebook advertising and can bring in a mass of leads for a very little ad spend.
There's a reason people ask the opinions of their friends and family about the newest restaurant or bar before they try it out.
People want a relative guarantee that they're not wasting their time or money and will have a good experience.
Real estate agents are no different. Genuine reviews and testimonials from happy vendors will go a long way to multiplying the amount of leads you receive.
Video Reviews, from clients after you've gotten them a great result, will provide you with social proof and allow people to make an emotional connection to you.
Written Reviews give you the chance to include blurbs on your website about people's experiences with yourself and your agency.
It should go without saying, but you'll want to include the most recent and positive reviews.
Add call to actions throughout your reviews to generate more enquiries.
There are lots of ways that you can increase your current amount of leads coming in. Adding some of these pages to your marketing strategy won't take you a lot of effort but the results long term will be great.
What did you think about these real estate lead generation pages? Let me know in the comments section below.


Virar is a city which is located in the Mumbai region, in the Indian state of Maharashtra. This is also constitutes a part of the Vasai-Virar Municipal Corporation in Thane district. The railway station at Virar is the northern-most railway station located on the Western Line of Mumbai Suburban Railway. It is interesting to know that the real Estate in Virar is really picking up pace because of the tourism here and also because of big construction players like Rustomjee, have already started the construction here. There is a lot of speculation that in the next 2-3 years, Virar will be developing in a big way!
Chhatrapati Shivaji International Airport is 43 km away from virar.
Borivali Railway Station is 27 Km away from the Virar.


Thanks again - I love my car.
I received great service from Stacey at Howlett's. I had never leased a car before and found Stacey to be very helpful and I didn't feel that any of my questions would be considered to be silly! I would definitely recommend to friends and family and will be returning when my lease has ended to find another great deal! Thank you.
After spending an age to find company that would do a decent deal I was advised to check out Howlett leasing. Stacey got me and absolute bargain on the car we where looking for (no one else was any way near her price). She was so helpful throughout the whole process.
When the lease is up and it's time for a new car I won't need to waste any time looking for another company as this is the company to come to for a great deal.
Would recommend to anyone and everyone.
A key committee of MEPs has voted through a range of new mandatory vehicle safety standards that could apply to new vehicle models within three years. Members of the European Parliament's Committee on Internal Market and Consumer Protection (IMCO) voted today to approve a range of new vehicle safety standards initially proposed by the European Commission in May last year. The measures include new crash testing requirements, mandatory installation of driver assistance systems including Automated Emergency Braking (AEB) with pedestrian and cyclist detection, overridable Intelligent Speed Assistance (ISA) and Lane Keep Assistance (LKA), as well as a new direct vision standard for lorries and buses to enable drivers to have a better view of other road users around their vehicle.
"This is a landmark day for road safety," said Josh Harris, director of campaigns for Brake. "The European Parliament has voted through life-saving safety standards for all new vehicles, which could save 25,000 lives in fifteen years. "We now urge the final negotiations to take place as soon as possible, so we can make this step-change for road safety a reality." The European Transport Safety Council (ETSC) also welcomed the result of the vote but warned that time is running out for a final deal on the legislation before European Parliamentary elections in May.
The requirements also include installation of Event Data Recorders, which record critical information on the status of a vehicle in the moments before a collision and, as in the aviation sector, could help crash investigators understand the causes of collisions in order to help prevent them in the future. Antonio Avenoso, executive director at the European Transport Safety Council, said: "This legislation represents a major step forward for road safety in Europe, and could save 25,000 lives within fifteen years of coming into force. But it will only apply to new vehicles. So it's incredibly important that a final deal is reached as soon as possible, so cars with these new safety features fitted as standard start driving off production lines sooner rather than later. "Minimum vehicle safety standards in the EU were last updated in 2009, so there is no time to lose. We urge policymakers to do their utmost to achieve a final agreement before the European Parliamentary elections in May."
A recent report from Brake and Direct Line, based on a survey of more than 2,000 UK drivers, found that drivers support these measures, with nearly 9 in 10 agreeing that all new cars should be fitted with the latest life-saving safety features as standard. The report also found that more than half of drivers would not spend more on a new car to ensure it had AEB, ISA or LKA, highlighting how the EU's regulatory action will help deliver the life-saving potential of these technologies for all.


10 When Athaliah the mother of Ahaziah saw that her son was dead, she proceeded to destroy the whole royal family of the house of Judah. 11 But Jehosheba,[a] the daughter of King Jehoram, took Joash son of Ahaziah and stole him away from among the royal princes who were about to be murdered and put him and his nurse in a bedroom. Because Jehosheba,[b] the daughter of King Jehoram and wife of the priest Jehoiada, was Ahaziah's sister, she hid the child from Athaliah so she could not kill him. 12 He remained hidden with them at the temple of God for six years while Athaliah ruled the land.
23 In the seventh year Jehoiada showed his strength. He made a covenant with the commanders of units of a hundred: Azariah son of Jeroham, Ishmael son of Jehohanan, Azariah son of Obed, Maaseiah son of Adaiah, and Elishaphat son of Zikri. 2 They went throughout Judah and gathered the Levites and the heads of Israelite families from all the towns. When they came to Jerusalem, 3 the whole assembly made a covenant with the king at the temple of God.
8 The Levites and all the men of Judah did just as Jehoiada the priest ordered. Each one took his men—those who were going on duty on the Sabbath and those who were going off duty—for Jehoiada the priest had not released any of the divisions. 9 Then he gave the commanders of units of a hundred the spears and the large and small shields that had belonged to King David and that were in the temple of God. 10 He stationed all the men, each with his weapon in his hand, around the king—near the altar and the temple, from the south side to the north side of the temple.
14 Jehoiada the priest sent out the commanders of units of a hundred, who were in charge of the troops, and said to them: "Bring her out between the ranks[d] and put to the sword anyone who follows her." For the priest had said, "Do not put her to death at the temple of the Lord." 15 So they seized her as she reached the entrance of the Horse Gate on the palace grounds, and there they put her to death.
16 Jehoiada then made a covenant that he, the people and the king[e] would be the Lord's people. 17 All the people went to the temple of Baal and tore it down. They smashed the altars and idols and killed Mattan the priest of Baal in front of the altars.
18 Then Jehoiada placed the oversight of the temple of the Lord in the hands of the Levitical priests, to whom David had made assignments in the temple, to present the burnt offerings of the Lord as written in the Law of Moses, with rejoicing and singing, as David had ordered. 19 He also stationed gatekeepers at the gates of the Lord's temple so that no one who was in any way unclean might enter.
20 He took with him the commanders of hundreds, the nobles, the rulers of the people and all the people of the land and brought the king down from the temple of the Lord. They went into the palace through the Upper Gate and seated the king on the royal throne. 21 All the people of the land rejoiced, and the city was calm, because Athaliah had been slain with the sword.
18 Then Jehu brought all the people together and said to them, "Ahab served Baal a little; Jehu will serve him much. 19 Now summon all the prophets of Baal, all his servants and all his priests. See that no one is missing, because I am going to hold a great sacrifice for Baal. Anyone who fails to come will no longer live." But Jehu was acting deceptively in order to destroy the servants of Baal.
20 Jehu said, "Call an assembly in honor of Baal." So they proclaimed it. 21 Then he sent word throughout Israel, and all the servants of Baal came; not one stayed away. They crowded into the temple of Baal until it was full from one end to the other. 22 And Jehu said to the keeper of the wardrobe, "Bring robes for all the servants of Baal." So he brought out robes for them.
25 As soon as Jehu had finished making the burnt offering, he ordered the guards and officers: "Go in and kill them; let no one escape." So they cut them down with the sword. The guards and officers threw the bodies out and then entered the inner shrine of the temple of Baal. 26 They brought the sacred stone out of the temple of Baal and burned it. 27 They demolished the sacred stone of Baal and tore down the temple of Baal, and people have used it for a latrine to this day.
28 So Jehu destroyed Baal worship in Israel. 29 However, he did not turn away from the sins of Jeroboam son of Nebat, which he had caused Israel to commit—the worship of the golden calves at Bethel and Dan.
30 The Lord said to Jehu, "Because you have done well in accomplishing what is right in my eyes and have done to the house of Ahab all I had in mind to do, your descendants will sit on the throne of Israel to the fourth generation." 31 Yet Jehu was not careful to keep the law of the Lord, the God of Israel, with all his heart. He did not turn away from the sins of Jeroboam, which he had caused Israel to commit.
32 In those days the Lord began to reduce the size of Israel. Hazael overpowered the Israelites throughout their territory 33 east of the Jordan in all the land of Gilead (the region of Gad, Reuben and Manasseh), from Aroer by the Arnon Gorge through Gilead to Bashan.
34 As for the other events of Jehu's reign, all he did, and all his achievements, are they not written in the book of the annals of the kings of Israel?
35 Jehu rested with his ancestors and was buried in Samaria. And Jehoahaz his son succeeded him as king. 36 The time that Jehu reigned over Israel in Samaria was twenty-eight years.
12 [f]In the seventh year of Jehu, Joash[g] became king, and he reigned in Jerusalem forty years. His mother's name was Zibiah; she was from Beersheba. 2 Joash did what was right in the eyes of the Lord all the years Jehoiada the priest instructed him. 3 The high places, however, were not removed; the people continued to offer sacrifices and burn incense there.


text:
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News From My Backyard: Five Western States Team Up to Battle Global Warming
Posted by Jesse Jenkins
Governors of Oregon, Washington, California, Arizona and New Mexico Will Work Together to Set Caps on Greenhouse Gas Emissions
[From the Oregonian:]
Oregon will join four other Western states in setting limits on greenhouse gases produced by everything from the car you drive to the power plant that supplies your electricity.
In taking the action Monday, Oregon, Washington, California, Arizona and New Mexico build momentum for a national strategy to control carbon dioxide and other gases that contribute to global warming. States are increasingly pressing forward on their own amid inaction by the Bush administration and Congress.
Capping emissions from fossil-fuel burning power plants could also push energy companies toward wind and other renewable energy.
Gov. Ted Kulongoski helped broker the five-state deal and signed onto it Monday with the governors of the other states.
[Image: The five western states joining the global warming compact represent about 11% of total United States emissions of global warming pollutants. The five states will set goals and create a strategy to reduce emissions within 18 months.]
The compact "sends a message to Congress and the White House that if they fail to enact policies at the national level to reduce greenhouse gas emissions and do our nation's part to combat global warming, that states will do it on their own," Kulongoski said.
The governors said the West is especially vulnerable, as global warming leads to more severe droughts and wildfires; and earlier snowmelt, leaving less water in the heat of summer.
Each of the states in the western strategy was already acting on its own to address global warming. All the governors who signed the agreement are Democrats, except Gov. Arnold Schwarzenegger of California.
The strategy has potential to grow to include other states and British Columbia, which has invited West Coast states to join its efforts, said David Van't Hof, an adviser to Kulongoski. He said a primary goal of the strategy is to motivate the federal government to act, and to protect the interests of Western states if it does.
"Rather than wait for them to act, we're trying to influence where it's heading," Van't Hof said.
East Coast pact
The western effort is the second broad regional move to address global warming. Nine Eastern states have already joined to limit emissions from power plants only and create a cap-and-trade system for the plants to buy and sell credits they get for reducing emissions.
The Western states strategy is general and does not specify how the states will control greenhouse gases. But they will target all the major sources: vehicle exhaust and industrial sources as well, according to the governors and their aides.
To start out, the states will set goals for slowing the growth of greenhouse gas emissions and then cutting them back. Then, within 18 months, they will establish a strategy for reducing the emissions.
One option is a cap-and-trade system that limits carbon dioxide released as electricity is generated. It would require utilities that sell electricity in Oregon, for instance, to control the resulting carbon dioxide. If they cannot control it, they might instead buy credits from those that do.
Utilities could also fund programs to offset their emissions by planting trees to soak up the gases, for example.
Emissions limits would probably also extend to vehicles in some form, since they produce about a third of carbon dioxide released nationwide. Oregon has already adopted stricter tailpipe standards that reduce vehicle pollution and emissions.
Limiting power plant emissions will probably push electricity prices up a few percent or more as power companies pay for the controls. But a draft strategy developed in Oregon would channel more money into making homes and businesses more energy efficient, so they would burn less power overall and their bills might decline.
"You're either behind the curve or you're ahead of it, and this puts Oregon ahead of it," said Jason Eisdorfer, an attorney with Citizens' Utility Board of Oregon. "Oregon is not going to solve global warming itself, but these five states together can make a significant contribution."
Depending on the approach, the Legislature would probably have to approve greenhouse gas controls. California has already instituted tough limits on carbon dioxide and is talking with the United Kingdom about combining forces in a joint strategy.
The Western states that joined the strategy Monday together emit about 11 percent of all carbon dioxide nationwide. Experts said that by itself shows that the effort must expand if it's going to have much hope of heading off global warming.
"Even the U.S., by itself, isn't going to deal with this problem," said Mark Trexler, president of Trexler Climate + Energy Solutions, a Portland consultant who helps companies prepare for global warming regulations.
Utilities' hope
Power company officials said Monday they hope the Western states' strategy paves the way for a national system to control greenhouse gases. They said they would prefer a nationwide program to a complicated web of state and regional strategies.
"It would be nice to have something consistent," said Bekki Witt, a spokeswoman for PacifiCorp, which operates and buys power from 14 coal and natural gas plants.
The more states are involved, the broader the opportunities will be to buy and sell emissions credits in a way that keeps power prices down, said Dave Robertson, government affairs director at Portland General Electric. PGE is lobbying for national legislation, he said.
Many leading utility companies are now doing the same.
By driving up the price of fossil-fuel based power plants, the strategy could shift more efforts toward the development of renewable energy from the sun, wind and waves.
"It is also a huge economic development opportunity, particularly for those states who are most aggressive in leading the charge toward a clean energy future," Kulongoski said.
Labels: Arizona, California, climate change, climate change policy, Energy policy, global warming, New Mexico, News From My Backyard, Oregon, state policy, Washington

redpajama_set_name: RedPajamaCommonCrawl


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Have your fancied going on a trek on some of the highest mountain peaks in the world but lacked the courage to do so? Fear not, we believe that we have just the right product which will turn your fantasy into reality. So, you might be wondering what we are talking about? Don't you worry, it is not a meticulous fitness regime, rather it is a simple pair of trekking poles.
However, it is not just any pair of trekking poles, but the highly acclaimed Breakfast on Everest 3K Carbon Fiber Collapsible Trekking Poles for Hiking & Mountain Climbing. So what makes this pair of trekking poles so special? Well, before we get into its stellar features, let us first talk about its impressive resume on Amazon.com.
The Breakfast on Everest 3K Carbon Fiber Collapsible Trekking Poles has an average rating of 5 stars on Amazon.com from 22 reviews as of the date of writing this article. That is right; this product does have the highest possible rating. Moreover, all the verified purchases on Amazon.com have showered this pair of trekking poles with enormous praise.
Now that we have finished talking about its impressive list of reviews, let us now begin with its stellar features. And what better way to start this section than to talk about its impressive Carbon Fiber construction. As its name suggests, the Breakfast on Everest 3K Carbon Fiber Collapsible Trekking Poles have 100% Carbon Fiber construction which not only gives it incredible strength, but it makes it very lightweight as well. On top of that, the sturdy construction allows it to absorb shock and reduce the impact on your joints effectively.
In case you were skeptical about the carbon fiber construction and believed that aluminum is the more premium of the two materials, then the following lines will surely burst your fantasy bubble. Carbon Fiber is an incredibly premium material which is used in building the chassis of high-end supercars. In fact, the cream of the crop from the likes of Porsche, Lamborghini, Ferrari, and Pagani, all have Carbon Fiber construction.
The Breakfast on Everest 3K Carbon Fiber Collapsible Trekking Poles features an intuitive locking and extension mechanism. This trekking pole can be extended to a height of 55 inches (140 cm) and shortened to just 24.3 inches (61 cm), which makes it perfect for storing it in your backpack. Moreover, this product comes with its own travel bag, which makes it even more convenient to store. On top of that, it also features a quick lock mechanism which makes it incredibly simple to lock it to your preferred height.
One of the best features of the Breakfast on Everest 3K Carbon Fiber Collapsible Trekking Poles is its brilliant cork handles, which not only offer excellent grip but do a good job in absorbing sweat as well. Moreover, if you do not prefer the cork handles, Breakfast on Everest has also equipped the trekking poles with sweat-proof EVA foam grips, which are located right below the cork handles. However, that is not all, this pair of trekking poles also feature an adjustable wrist strap, which is situated right about the cork handle.
Before we get into its main feature, let us talk a bit about its design and aesthetics. The Breakfast on Everest 3K Carbon Fiber Collapsible Trekking Poles has quite a sporty look, mainly due to its carbon fiber construction. We also love the design of the contoured cork handle which offers a nice contrast with the stealth black EVA foam grip.
Now, as promised, we will enlighten you on the most important feature of the Breakfast on Everest 3K Carbon Fiber Collapsible Trekking Poles. This pair of trekking poles comes with 4 different accessory tips, which includes a pair of mud baskets, snow baskets, rubber trekking pole tips and shock-absorbing rubber feet as well. With the included set of accessories, you can easily walk across multiple terrains. Moreover, the heavy duty tungsten carbide tip of this trekking pole is not only durable but also extremely useful when traversing through rocky terrains.
If that was not impressive enough for you, then its warranty offering surely will catch your attention. The Breakfast on Everest 3K Carbon Fiber Collapsible Trekking Poles comes with a 12 months warranty, with 100% satisfaction guarantee. Although, after experiencing the quality of this product, we believe that you will not be using the warranty ever.
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After two decades writing scripts in Los Angeles, Salesianum graduate David James Kelly finally has his first major credit.
As co-writer of the new action-adventure remake "Robin Hood," he helped craft the lines coming out of the mouths of stars Taron Egerton and Jamie Foxx.
Even though the film has been savaged by critics, Kelly is proud of his work. And forgive him if he's not paying too much attention to their biting words. He's already hard at work on his newest project — and it's a doozy.
He's penning the script for a film adaptation of Ron Chernow's best-selling 2017 biography of Ulysses S. Grant entitled "Grant."
And there are some Hollywood heavy-hitters attached: Steven Spielberg is slated to direct with Leonardo DiCaprio expected to play the 18th U.S. president.
It will be a full-circle moment for Kelly, who became hooked on films as a kid living in New Castle's Penn Acres neighborhood.
Ryan Phillippe's neighbor
It was there where he first saw Spielberg's "Jaws" and became infatuated with movies, eventually acting and directing both in Salesianum's theater program and at the Wilmington Drama League.
"'Jaws' changed my life. Everything kind of flows from there," Kelly says. "It had a very understandable conflict and narrative to it. Even as a little kid you can understand a giant shark eating people. I was just mugged by it. That was it."
Growing up, the film world seemed so far away from his working-class neighborhood.
But when he was 14, he watched as his neighbor from two blocks away, actor Ryan Phillippe, broke into television before making the leap into film a few years later.
All of a sudden, landing in Hollywood wasn't a laughable dream, but rather an attainable goal.
"Being in Delaware, as I would imagine it might be in Iowa or something, it seemed so far-flung," says Kelly, 41. He went on to graduate from Rutgers University's Mason Gross School of the Arts, majoring in acting. "Hollywood and Los Angeles to me was something I only saw in movies like everybody else.
"So it was a thrill seeing someone local achieve on that level. I remember my folks and I following stories about Ryan in The News Journal and stories like his do inspire. If someone just a few blocks from you can do it, it gets demystified."
Since Phillippe is three years older, they hung in different crowds in their childhood days and while he did spot Phillippe at a party once in California, they still never have met.
More: After a social media plea, actor Ryan Phillippe falls silent about Delaware truck hunt
Welcome to Los Angeles. Sleep on the floor
After graduating college, Kelly immediately moved to Los Angeles, literally sleeping on the floor of the only person he knew in town for six months before making enough money bagging groceries at a Ralphs supermarket to get a bed of his own.
For the next 20 years or so, he toiled in the City of Angels writing spec scripts and short films while doing rewrites and other odd writing jobs.
"I'm one of those guys that has been writing and working a lot, but have not had a produced screenplay. It wasn't until 2008 when I was writing consistently as a screenwriter," he says. "It was a long and winding path, but all of those experiences were invaluable. Sometimes you can't see it at the time. But I never had a prolonged period of doubt."
From The Black List to working for Leo
The regular writing jobs came in 2008 because the year before his screenplay "Cold City" landed on The Black List, an annual insiders list of the best screenplays that were not produced.
Kelly soon got representation and his work was beginning to make it to the major studios, including the "Robin Hood" production company Appian Way Productions, founded by DiCaprio in 2004.
After another decade of work, he finally got his first credit when he was brought on to work on the "Robin Hood" script, which had already been penned by screenwriter Ben Chandler for Appian Way and Lionsgate, the film's distribution studio.
The president of production for Appian, producer Jennifer Davisson ("The Revenant"), had worked with Kelly on a few films that never made it, such as "Akira" and "The Deep Blue Good-by."
Kelly spent more than a full year working on "Robin Hood," starting in December 2016.
By the time shooting started on "Robin Hood" a year later, Davisson and director Otto Bathurst invited Kelly to travel with the production team to Hungary, Croatia and France, penning some lines and scenes on the fly as needed.
An interrogation scene between Foxx, who plays Little John, and Ben Mendelsohn, who portrays the Sheriff of Nottingham, is one of those scenes Kelly wrote on set.
Foxx had come to them with an idea of having his character have a face-to-face scene of dialogue with his archnemesis instead of only leaning on battles for their encounters. The result is a complex scene with four pages of dialogue, shot in a dungeon in an old fort about 1-1/2 hours outside Budapest.
"There was real electricity on the set that day because it was the first time those two actors and characters were together," Kelly reveals.
More:Bradley Cooper wrote 'A Star is Born' with this Delawarean
Walking the red carpet for the first time
It was Kelly's first up-close-and-personal experience making a big-budget film — "Robin Hood" reportedly cost just under $100 million. And last month, he had another first.
After all those ink-stained nights working on projects that never broke big, he and his wife Evangeline went in front of the cameras for the first time, walking the "Robin Hood" red carpet at the film's glitzy New York City premiere in Lincoln Square.
While it was a big moment for Kelly, he saw it as more of an occasion for his wife, who had been by his side during the ups and downs that many in Hollywood experience.
"It was very special and to be able to share that night with my wife — my rock, my muse," Kelly says. "It was the result of all those 16-hour days at the desk and many months overseas away from her, with her holding down the fort. It was more a gift I wanted to give to her than it was for me.
"As for me, I wake up humble and go to sleep grateful."
His parents, David and Barbara, still live in Delaware. David worked as a pipe insulator and private contractor and Barbara was a hairdresser and homemaker. They now enjoy their retirement in their Hockessin home.
Video:'Robin Hood' gets a reboot and awesome sidekick
Goodbye 'Robin,' hello, 'Grant'
It was while working on "Robin Hood" that Kelly first caught wind of the "Grant" project.
He was riding with Davisson to the set in Hungary when he overheard her mention the project to another Appian executive.
He saw a golden opportunity and jumped.
"I did something I rarely, honestly, do," Kelly says. "I said, 'If at all possible, I'd like to throw my hat into the ring for that,' because I've always had a layman's interest in Grant and he's popped up in other things I had written."
She agreed to send him a galley proof of "Grant" before its release, and Kelly read it at night after spending his days working on the "Robin Hood" set.
He got the job.
And he's since met with both Spielberg and DiCaprio about what would be his second credit in Hollywood.
That's if he can control himself while talking to Spielberg and keep his questions about "Jaws" to a minimum.
"When we met, I wanted to ask about everything — 'Jaws' and 'Raiders [of the Lost Ark]' and 'Saving Private Ryan,'" he says with a laugh. He didn't do it, he adds.
When will he get that opportunity? It's unclear. Details on a "Grant" timetable have not yet been revealed.
Either way, Kelly promises he'll be prepared: "I'm definitely keeping track of all those questions for when the moment presents itself."


My first film is now online at Undergroundfilm. "Adam and Yvette" joins "The Lightswitch Fades" in a unique platform for filmmakers and their work. Please support this site and the filmmakers (including me!) either by donation or by rating the films. Click here to see my first film! Have a wonderful day!
Tony Romanello Band (TRB) CD Release Party!!!


From San Jose: 101 South to Boronda Manor Road Exit, left onto Boronda Manor Road and continue to San Juan Grade Road. Left onto San Juan Grade Road and another left on to Northridge Way. Take a left on Northridge Way to Swanner Avenue. Left on Swanner Avenue and proceed through our entry gate.


"Ayushman Bharat Yojana" or "Pradhan Mantri Jan Arogya Yojana" (PMJAY) is a centrally sponsored scheme, which aims at making interventions in primary, secondary and tertiary health care systems.
It was launched on 23rd September 2018 at Ranchi, Jharkhand.
This scheme comes under the Union Ministry of Health and Family Welfare.
(i) Rashtriya Swasthya Bima Yojana (RSBY): It was a government run health insurance programme for the Indian poor to provide health insurance coverage to the un-recognized sector workers belonging to the BPL. The scheme started enrolling on April 1, 2008. It enabled the family to receive medical care up to RS. 30,000 per year. It was implemented in 25 states.
(ii) The "Senior Citizen Health Insurance Scheme (SCHIS): Senior Citizen Health Insurance scheme (SCHIS) was implemented from April 2016 for Senior Citizens of age 60 years and above, belonging to Below Poverty Line (BPL) and 11 other defined designated categories. The health coverage was up to Rs. 30,000/–per annum per senior citizen. It was implemented in 8 states.
In the interim budget 2019, central government announced to allocate Rs 6,400 Crore for the Ayushman Bharat Yojana.
Indu Bhushan is the CEO and Dinesh Arora is the deputy CEO of the scheme.
The first component is to establish "Health and wellness centers" to provide primary health care.
5 Lakh health and wellness centers will be set up.
The first Health and Wellness Centre was launched by the Prime Minister at Bijapur, Chhattisgarh on 14th April 2018.
Rs 1200 crore has been allotted to these wellness centers out of Rs. 6400 crore (allotted to the entire Ayushman Bharat scheme) in the interim budget of 2019-20.
Follow-up of hospitalization cases among others.
Upgradation of existing public health care centers to wellness centers.
The second component is the "National Health Protection Scheme" which provides health protection cover to poor and vulnerable families.
It will cover over 10 Crore 'poor and Vulnerable families (approximately 50 Crore beneficiaries).
The scheme targeted deprived rural families and identified occupational category of urban workers families (as entitled in the Socio-Economic Caste Census (SECC) data, 2011. According to which 8.03 Crore families in rural and 2.33 Crore families in urban areas will be covered (around 50 Crore people).
(2) Hospitalizations covered: Covering almost all secondary and many tertiary hospitalizations.
(3) Offered benefit: It will have offered a benefit cover of Rs. 5 Lakh per family per year (on a Family Floater basis). There is no cap on family size and age of members.
(4) Cashless and paperless access: An effective, interoperable and robust IT platform in partnership with NITI Ayog will be made to operate cashless and paperless transaction.
(5) Pre-defined package: To control costs, the payments for treatment will be done on package rate (to be defined by the Government in advance) basis. It has defined 1,350 medical packages covering surgery, medical and day care treatments including medicines, diagnostics and transport.
(6) Portable: Eligible beneficiaries can avail services across India, offering benefit of national portability.
(7) Entitlement based scheme: It is an entitlement-based scheme with entitlement decided on the basis of deprivation criteria in the SECC (Socio-Economic Caste Census) database. According to the SECC 2011 data, 50 crore people will be entitled to be covered under this scheme.
(8) Hospital eligibility: Free treatment available at all public and empaneled private hospitals in times of need.
(9) State/ district covered: It is rolled out across all States/UTs in all districts.
90:10 in North-east states and the three Himalayan states of Jammu and Kashmir, Himachal and Uttarakhand.
100% central funding for UTs without legislature.
(i) Insurance Model: If the implementing agency is any insurance company, the government pays a fixed premium to the insurance company, which pays the hospitals.
(ii) Trust model: If the implementing agency is any trust or society, bills are reimbursed directly by the government.
(iii) Hybrid Insurance model: Under a hybrid model, both the state and the insurance company have a role to play. In this model, payments till Rs 50,000 per annum will be made via insurance companies, and higher ones up to Rs 5 lakh will be administered by the trust.
The transfer of funds from Central Government to SHA (State Health Agencies) may be done through anescrow account.
Maintaining coordination between Centre and States.
A list of eligible families (according to SECC – 2011 data) has been shared with the state government and state level health departments. Every eligible family will be allotted with an AB-NHPM family identification number which is used to get the benefits of the scheme.
On an average 5,000 claims are being settled every day since its roll out.
The total number of hospitals covered by this scheme are both government hospitals and private hospitals presently numbering 16,000 and increasing steadily.
West Bengal – as the state is already run a health scheme "Swasthya Sathi".
Odisha – CM Naveen Patnaik announced the launch of Biju Swasthya Kalyan Yojana on almost the same lines as the central scheme and withdraw from the Ayushman bharat.
Telangana – As it has a state health scheme named Aarogyasri.
Delhi – CM Arvind kezriwal is also not implementing the scheme.
Kerala – as not sure for the effective implementation of the scheme.
Punjab – as the state Gov. is already running health insurance schemes as well as they also have issue about 60:40 ratio funding by Centre.


The Molecular Probe Data Base (MPDB) was set up in 1992 with the objective of allowing researchers to retrieve information on molecular probes and synthetic oligonucleotides that had proven useful in real experimental conditions. MPDB includes information on synthetic oligos that can either be used as probes or as primers. Information was derived from scientific literature. Only oligonucleotides of length lesser than 100 bp were considered. More than 4000 entries are stored in MPDB. Oligonucleotides are described on the basis of: name, oligo type (primer, probe, antisense), nucleotidic sequence, amino acid sequence (if part of a coding region), target gene and related infos (localization within the gene and recognized variants or specificities), applications, methods, technical notes, complementary primer (if used for PCR), primers for amplification (if probe), bibliographic references. Integration with other molecular biology databases is ensured with links to: i) EMBL Data Library, through the Target Gene accession number, ii) PubMed, through the PubMed PMID identifier, iii) HSAGENES database, through the HUGO code of the target gene. Further links are being implemented including those to GDB and GeneCard. MPDB contents are particularly adequate for the setting up of internal links, links that connect two different entries of the same database: pair of primers are used for PCR methods, probes can be a result of a PCR amplification and pairs of primers can be used to amplify a probe. The following links were defined: i) between primers conjunctly used for PCR, ii) between a primer and the probes that it can amply, iii) between a probe and the primers that can be used for its amplification. These links have been actually set up in MPDB. Through an SRS search, it is possible to search for a specific probe and retrieve the information about the primers that are needed for its amplification. This can either be done by performing an SRS link operation or by using the HTML links that are included in the display of the results. MPDB is currently managed by using MySQL, an 'open source' relational database, while searches are only allowed through implementations of the SRS integration software. MPDB data structure includes few free texts: the majority of the information is encoded and managed through controlled vocabularies. Information is often represented with one of a few items taken from the vocabularies. This is true for the applications and the methods where the SRS index includes the entire expressions that define items of the controlled vocabulary. E.g., 'apolipoprotein deficit' is not indexed by using the keys 'apolipoprotein' and 'deficit', but under the unique key 'apolipoprotein deficit'. MPDB is currently available for searching through SRS implementations at IRCCS AOU San Martino IST, Genoa, IT, http://bioinformatics.hsanmartino.it/mpdb/ . It is referenced as MOLPROBE. MPDB can easily be implemented in every SRS site: the data file and the related syntax files are available from the SRS implementation or on request from the contact person.


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Tag Archives: Craig Morgan
A Wrong Shipment to Craig Morgan Meant Extra CD Sales for Adele
If you were at the Craig Morgan concert in Aberdeen, South Dakota this week you had the chance to head to the merch table to buy…Adele's CD. Confused? Craig explains… The deluxe edition of Craig's album God, Family, Country arrives on November 11th – and it includes his current single "How You Make A Man."…… MORE
Craig Morgan & Jelly Roll Share a Special Moment at the Grand Ole Opry
During a recent appearance on the Grand Ole Opry Craig Morgan brought out Jelly Roll who then shared a story of watching Craig from the audience of the Opry House. The two sang Craig's classic "Almost Home" in a special moment that could only happen at the Grand Ole Opry – and then Craig presented…… MORE
In Case You Missed It – Craig Morgan Performed During the 2022 National Memorial Day Concert
Country music was very represented during this year's National Memorial Day Concert as Craig Morgan took the stage to perform his song "The Father, My Son, And The Holy Spirit." Craig's performance was preceded by the story of heartbreak, sacrifice, perseverance, and inspiration that MG Mark Graham, USA (Ret.) and his wife Carol lived, when…… MORE
Looking Back at the National Memorial Day Concert & Country Music
Craig Morgan represented country music at this year's National Memorial Day Concert with his performance at during the ceremony. We're looking back over the past couple of years and the artists that have appeared on the program… In 2021 Mickey Guyton performed the National Anthem… During the 2020 National Memorial Day concert, Trace Adkins performed…… MORE
Craig Morgan Set To Appear at the 33rd Annual National Memorial Day Concert, Sunday May 29th
The connection between country music and the military runs deep – but that connection has no closer tie than Craig Morgan. Craig is a Army veteran who served nearly a decade in the 101st, and 82nd, Airborne Divisions, and then spent time in the reserves as well for a total of 15 year career. Sunday,…… MORE
Craig Morgan Set for his God, Family, Country Tour 2022 Launching This Fall
Craig Morgan is hitting the road this fall on the God. Family. Country tour 2022. Country music fans have known and loved Craig for years…but now a whole new audience might be heading to see Morgan on tour with the success he's had – and the fans he's developed with his appearance on the show…… MORE
Country Music Remembers Naomi Judd with Messages of Love and Support
Saturday April 30th 2022 Naomi Judd of The Judds passed away at the age of 76. As word spread of the tragic news, her fellow country music artists reached out with messages of love, and support for Wynonna and Ashley Judd, while also sharing their memories of Naomi and The Judds. Loretta Lynn – "I'm…… MORE
Craig Morgan Shares With Kelly Clarkson What It Took to Go Beyond The Edge
Did you catch Craig Morgan's recent appearance on The Kelly Clarkson Show? Craig shared with Kelly Clarkson that he was actually training for an Ironman competition before he was presented the opportunity to appear on Beyond The Edge. When it came to appearing on the reality show, Craig says that he made friends for life…… MORE
New CBS Show – Beyond The Edge – Includes Lauren Alaina & Craig Morgan
March 16th, CBS TV is launching a new celebrity reality series called Beyond The Edge. Called "the most intense celebrity adventure challenge ever attempted" – Beyond the Edge features Lauren Alaina, Ray Lewis, Craig Morgan, Metta World Peace, Paulina Porizkova, Mike Singletary, Jodie Sweetin, Colton Underwood, and Eboni K. Williams. The series is hosted by…… MORE
Chris Young Was at the End the Football Season, and Will Be There at the Start Of Next Season
Chris Young was one of the lucky fans who was there this past Sunday in Tampa to see the Super Bowl live and in person. Chris even shared the winning celebration as Tom Brady and the Tampa Bay Buccaneers defeated the Kansas City Chiefs 31 to 9. Congrats @Buccaneers fans!!!! That's a wrap!!! #SuperBowl pic.twitter.com/HsSFuL8OIX…… MORE
Country Stars Read 'Twas the Night Before Christmas (Version 1)
To wish you a very Merry Christmas and a happy holiday season, we've brought together some of your favorite country music stars to read the classic holiday poem, 'Twas the Night Before Christmas (Version 1) Feel free to follow along with the poem… Alan Jackson: Twas the night before Christmas, when all through the house…… MORE
Brantley Gilbert, Justin Moore, Craig Morgan & More to Perform on the Grand Ole Opry on Nov. 7
The Grand Ole Opry will tally its 4,949th consecutive Saturday night broadcast on Nov. 7 with a showcase featuring Craig Morgan, Brantley Gilbert, Justin Moore, John Conlee, Jeannie Seely, Suzy Boggus and more. A one-hour portion of the show will air live on Circle Television at 8 p.m. CT featuring Craig, Brantley and Justin. The…… MORE
Brantley Gilbert, Craig Morgan, Jewel, Lee Greenwood & More Help Celebrate Military-Bound High School Graduates
Craig Morgan, Brantley Gilbert, Jewel, Lee Greenwood and more are helping celebrate the 150,000 high school graduates who are enlisting in the U.S. Armed Services. Our Community Salutes, a national nonprofit organization that supports high school seniors enlisting in the U.S. Armed Services after graduation, is hosting its inaugural America Salutes celebration: a one-hour, pre-recorded…… MORE
"CMA Summer Stay-Cay" to Feature More Than 60 Stars, Including Luke Combs, Jason Aldean & Carly Peace
Nashville's 2020 CMA Fest (June 4–7) may have been cancelled because of the COVID-19 pandemic, but the Country Music Association is planning to keep fans entertained this summer. Jimmie Allen and Lindsay Ell will host CMA Summer Stay-Cay on July 1 at 5 p.m. CT. The live-stream event will air via CMA's YouTube and Facebook.…… MORE
Craig Morgan, Kellie Pickler & Steven Curtis Chapman to Perform on Opry's "Salute the Troops" Memorial Day Weekend Special
The Grand Ole Opry will honor U.S. veterans, current military members and essential workers on the frontline of the COVID-19 pandemic with a special Salute the Troops show that features performances by Craig Morgan, Steven Curtis Chapman and Kellie Pickler. The Opry's annual pre-Memorial Day Salute the Troops performance will take place on May 23 at 7 p.m.…… MORE
May 1: Live-Stream Calendar With Kenny Chesney, Luke Combs, Brantley Gilbert, Carly Pearce & More
Country stars are trying to do their part to keep us entertained during our self-quarantines (hopefully) due to the COVID-19 pandemic. Here's a rundown of what to expect as some of our favorite stars perform live and chat via social media. May 1 (updated throughout the day) Stephanie Quayle: 10 a.m. CT – Facebook Cam:…… MORE
Craig Morgan Announces New Album, "God, Family, Country"
Craig Morgan will drop a new album, God, Family, Country, on May 22. The 10-song offering features five new songs, as well as five newly remastered tunes from Craig's past catalog, including "Almost Home" and "That's What I Love About Sunday." New songs include his recent iTunes No. 1 hit, "The Father, My Son and…… MORE
Craig Morgan Marks 12th USO Tour With Trip to South Korea
Craig Morgan, who spent 10.5 years on active duty in the U.S. Army in the 101st and 82nd Airborne Divisions and 6.5 years in the Army Reserves, performed for service members in South Korea during Thanksgiving week as part of his 12th USO Tour. Craig's trip to Camp Humphreys in South Korea will be highlighted…… MORE
Army Vet Craig Morgan Shares Veterans Day Message: "Thank God We Have a Military Full of People Willing to Put Themselves in Harm's Way"
Craig Morgan has a unique—and respected—perspective when it comes to his brothers-and-sisters-in-arms. Craig spent 10.5 years on active duty in the U.S. Army in the 101st and 82nd Airborne Divisions and 6.5 years in the Army Reserves. As a country star, Craig has been part of 11 USO Tours. When Craig speaks about about the…… MORE
Presenters Announced for the 53rd CMA Awards, Including Jennifer Nettles, Midland, Vince Gill, Morgan Wallen & More
The Country Music Association announced the presenters for the 53rd annual CMA Awards on Nov. 13: Bobby Bones, Hannah Brown, Deana Carter, Kristin Chenoweth, Janie Fricke, Jim Gaffigan, Vince Gill, Kathy Mattea, Martina McBride, Midland, Craig Morgan, Jennifer Nettles, Madelaine Petsch, J.B. Smoove, Pam Tillis, Morgan Wallen and Trisha Yearwood. Previously announced performers include Eric…… MORE


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Sun, January 17, 2021 | 22:21
South Korea hits back at Abe on contaminated Fukushima water issue
Japan's Prime Minister Shinzo Abe speaks during a press conference at the 8th trilateral leaders' meeting between China, South Korea and Japan in Chengdu in southwestern China's Sichuan province, Dec. 24. AP-Yonhap
Abe's comparison between contamination figures in Japan and Korea needs verification
By Jung Da-min
Japanese Prime Minister Shinzo Abe is inviting controversy over his reported remarks on contaminated water from Fukushima made during his recent summit with President Moon Jae-in.
Japanese newspaper Sankei Shimbun reported on Dec. 29 that Abe told Moon that the amount of radioactivity in the water from the drainage of Fukushima Daiichi Nuclear Power Plant is less than one percent of that of South Korea's Wolseong nuclear power plant in Gyeongju, North Gyeongsang Province. The report said Abe seemed to have cited a 2016 Japanese government report on the radioactive water at Fukushima.
But experts said Monday that such a claim needs to be verified thoroughly and accordingly also with a clear standard that can be applied equally in both countries. They also pointed out that the issue of contaminated water from the Fukushima plant is often brought up in political contexts in both countries, therefore bringing misunderstanding among the public.
"To compare the levels of contamination in the sites of Fukushima nuclear power plant and a nuclear power plant in Korea, it should be clarified where the water samples are collected," said Moon Joo-hyun, a professor at Dankook University's Department of Nuclear Engineering. "Simply looking at the figures from different sampling sites could not present an exact comparison for the contamination level."
Choi Sung-min, a professor at KAIST's Department of Nuclear and Quantum Engineering, said Seoul and Tokyo need to refrain from presenting "distorted" opinions over the issue when they lack scientific grounds or verification.
"When dealing with the issue of radioactive substances, governments are required to approach it through exact data, refraining from creating excessive fears among the public," Choi said, adding governments also need discretion when presenting opinions to the international community.
In April, the South Korean government won its appeal in a dispute at the World Trade Organization (WTO) over import bans and testing and certification requirements for radionuclides it had imposed on Japanese seafood since September 2013. Japan had requested WTO consultations in May 2015.
Regarding the Japanese reports, Cheong Wa Dae said Moon told Abe that the Japanese government needs to share "necessary and specific" information through transparent procedures.
The Dec. 24 summit between Moon and Abe, which happened on the sidelines of their participation at an annual high-level meeting between leaders of South Korea, Japan and China, came amid a year-long spat between the two countries on various fronts including history, economy and security. Abe brought up the Fukushima radioactive water issue to ask Moon to ease Korea's import restrictions on Japanese seafood from eight districts in the country's northeastern region which have been affected by the 2011 nuclear disaster in Fukushima.
At the summit, President Moon asked Abe to nullify Japan's July decision to remove South Korea from its "whitelist" of most trusted trading partners. But the South Korean leader refused to accept Abe's request to take "necessary measures" over the South Korean Supreme Court's rulings that ordered Japanese companies to compensate surviving South Korean victims of wartime forced labor.
damin.jung@koreatimes.co.kr More articles by this reporter
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Uniqlo makes rebound after closing unprofitable stores
New virus cases in 500s for 5th day as gov't announces eased restrictions
Bangladeshi embassy opens 2021 with series of events
Establishing laws not panacea for solving social issues
Tenbagger companies' resurgence in stock markets
Pompeo pushes new claim of China covering up COVID origin
Ex-BIGBANG member Seungri indicted for mobilizing gang members to threaten people
Film 'Minari' to hit local theaters in March
BLACKPINK's Jennie gets 600 million YouTube views with debut single 'Solo'
K-pop star IU to drop new single 'Celebrity' this month
iKON's Bobby to make solo comeback


As we draw near Veteran's Day, Outside the Wire honors all who have made the ultimate sacrifice.
This brings the total hostile and non-hostile fatalities to 1,298. Of the 8,394 troops wounded in action, 4,103 returned to duty within 72 hours, according to the report.
The U.S. military has the highest number of casualties by far. Britain has the second largest number of troops killed in action, with 338, then Canada with 153.


Betsafe have a growing reputation in the world of online betting. They offer everything you could need in terms of online sports betting and have many loyal customers and fans. As you would expect then, they have developed an app to complement this. It has all the features you would need, with live betting options, and great sports markets. We can safely say the Betsafe mobile app is something every punter could do with having in their pocket. This particularly relevant in today's world when more and more people are leaving their desktop behind in favour of their handheld device.
We'll be going into a lot more detail about the app below. If you are not familiar with the operator already, head over to our general overview of Betsafe. Otherwise we'll look at what we expect a great product to feature and explain why we regard this app highly. First, we'll get to how to start your account.
If you want to be redirected quickly to the app, simply scan the QR code at the top of the page! It's really that simple and quick.
If you are one the punters that already has an account at Betsafe, then logging into the app should be no problem at all. You don't need to create a new account, simply you have to remember your username and password details. Although, for some of us that is a hard-enough challenge! Just click on the 'log in' button on the top left and you are good to go. If you are a new customer, it is also pretty easy to get going. There is a 'register' button on the top right, and once you've clicked it you'll be asked for the usual details. After completing this you are good to go, and ready to start enjoying the Betsafe app!
When you first start looking at the app you will notice there is a lot to do and see. There are multiple features which you can use and click on. Naturally, we have to go more in-depth in order to have a full analysis of the app. This is what well be doing next, so you can have a better idea what its all about and are able to use the features to their full potential.
The most important thing for a punter is placing a bet. What most don't realise is the app's design and navigation could play a huge factor in how easy this is. The Betsafe mobile app has a common-sense design all the essential features are just a swipe away. It takes very little time to get used to the app and you can be underway in minutes.
Sometimes it can feel a bit clunky or laggy, and this has been reflected in our score here. Nevertheless, it is still an easy to use app and bets can be placed very quickly. Something that is very important to the modern-day punter who is always on the go.
Betting App Navigation The app's common sense design means that all the essential features and options are a swipe or touch away.
Football Bets on the App If football betting is your thing—and it probably is—then all that's left is choosing your favourite tournament or league on the Betsafe app.
Live Betting on Mobile Live betting is given a comprehensive treatment here.
There is nothing more important in the betting world today than live betting and streaming. Punters like to see what they are betting on, and also have as many options as possible to do so. Luckily this app offers world-class streaming opportunities. Most major sporting events are covered, such as the Premier League, NBA, or the Tennis Grand Slams, and more. It is a really good feature of this app, as not all operators offer such an extensive range in their streaming. They also offer a pretty good betting market, with over 80 fixtures per day. So, you will have plenty to choose from.
At the time of writing there were not specific bonuses for mobile app users. However, they have focused on various promotions concentrated on the Betsafe sportsbook app. These include, but are not limited to, enhanced odds on different markets. They do offer bonuses for casino players, yet we are disappointed they have not expanded this for sports as we feel this could really improve their overall rating. To find any current offer is pretty easy, as they have a dedication button called 'promotions', so if you don't want to miss out be sure to keep an eye out for them!
Having a good betslip is essential to ranking well in our review, as it is one of the most important features of the mobile app. Whether you are on the Betsafe mobile website, or app, it is easy to find and use. Once you place a selection you immediately see the betslip highlighted. It is easy to access, and what we particularly like is the auto-accumulator when you have selected multiple bets. This makes placing a bet even quicker, as you don't have to press extra buttons. There are of course other options on how to bet, and the tabs at the top of the betslip allow you to access these. All and all it is quite functional and the minimum bet of £0.10 means you don't have to wager too much if you don't want to.
Users want to have a wide range of payment options. This is natural, as everyone has their preferred choice. Luckily, Betsafe do have a number of options to choose from. With traditional options such as Visa, MasterCard and Maestro, yet they also allow newer options such as Skrill, Paysafe, Citadel, PayPal, and Entropay. What's more they also have Instant withdrawal on plenty of the payment methods, which is fantastic news for the average Joe, who does not want to be waiting around for his money after a big win, and the rest are usually processed within 24 hours. This is one of the features we especially like.
The site also uses very secure state of the art technology, with SSL (secure socket layer) encryption, so it's safe to say, you will be well protected when betting here! Overall, we found that Betsafe's transaction system was implemented pretty well.
The Betsafe app download is a pretty easy process. There are only a few requirements of note, so as long as you have a relatively new smartphone you should be good to go. By 'new', we mean iOS 9.0 or later or Android 4.4 or later. If you don't have these, you should still be able to access the mobile browser through safari or whichever browser you use. The download should not take too long, depending on your internet connection of course!
We feel the requirements are pretty basic and most of you will be able to use this app no hassle involved. Don't forget, it's not just a smartphone, this app can be used on your tablet or any other handheld device. Hopefully, you won't have any issues and we feel even the least tech-savvy of you should be able to manage this!
Now we've come to the end of the review, we have seen that the Betsafe app has many features and have done well in developing their product. Of course, it would be nice if the bonuses where a bit larger, nevertheless the app matches well with its competitors. It is easy to place bets, and there are a wide number of sports to choose from. If you were already a fan of Betsafe, its fair to say you will appreciate their app. If you are a new user of mobile betting apps it is easy to use, and you'll be able to enjoy it from day one.
Overall, Betsafe have adapted to the app experience fairly well. The layout and design are easy to use, the streaming is good, and placing a bet is simple. These are all things that a punter needs when using their handheld device to wager a bet. Customer support is also available and if you have any issues, they are easy to contact via their live chat portal. The app also comes in a number of languages, which is something that not every bookie offers. All in all, we'd say that this app matches up well with its competitors. Of course, we haven't covered everything, so it is best to give it a try yourself! For more on this operator, head on over to our Betsafe main review page.
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It this review hasn't answered all your questions, don't despair! Below you will find some of the more popular questions our punters ask.
Can I see my betting history on my mobile?
Yes, simply click on the 'person' symbol in the top right. From there, just press the 'bet history' button and you can see all the best that have been placed.
What happens when I receive a call whilst I am playing on the app?
You can pick up the call no problem. The app will simply return you to the place you were once the call is finished.
Is there a commission fee charged for deposits?
No. There no charges for depositing. However, check with your bank, credit card or e-wallet, as sometimes they may charge you a service fee.