text:
\section{Introduction}

Every matrix algebra over a field $K$ or the ring $K[x, x^{-1}]$ is isomorphic to a Leavitt path algebra. In contrast, not every {\em graded} matrix algebra over a field is graded isomorphic to a Leavitt path algebra by \cite[Proposition 3.7]{Lia_no-exit}. Here, a Leavitt path algebra is considered with the natural grading by the ring of integers $\mathbb Z$ and the field $K$ is considered to be trivially $\mathbb Z$-graded. The Leavitt Path Algebra Realization Question of \cite[Section 3.3]{Lia_no-exit} asks for a characterization of those graded matrix algebras over $K$ which can be realized as Leavitt path algebras. In Proposition \ref{matrix_rep_of_sinks}, we answer this question by providing a complete characterization of graded matrix algebras over $K$ which are graded isomorphic to Leavitt path algebras. In Proposition \ref{matrix_rep_of_comets}, we provide analogous characterization for graded matrix algebras over naturally $\mathbb Z$-graded $K[x^m, x^{-m}]$ for any positive integer $m.$ These two results are used in Proposition \ref{matrix_rep_of_no-exits} which presents conditions under which a finite direct sum of graded matricial algebras over $K$ and $K[x^m, x^{-m}]$ can be realized by a Leavitt path algebra.

As a consequence of Proposition \ref{matrix_rep_of_sinks}, we show that there are graded corners of Leavitt path algebras which are not graded isomorphic to Leavitt path algebras (Example \ref{example_on_corner_which_is_not_a_LPA}). This contrasts a recent result from \cite{Gene_Nam} which states that every corner of a Leavitt path algebra of a finite graph is isomorphic to another Leavitt path algebra.

\section{Prerequisites}

A ring $R$ is graded by a group $\Gamma$ if $R=\bigoplus_{\gamma\in\Gamma} R_\gamma$ for additive subgroups $R_\gamma$ and $R_\gamma R_\delta\subseteq R_{\gamma\delta}$ for all $\gamma,\delta\in\Gamma.$ The elements of the set $H=\bigcup_{\gamma\in\Gamma} R_\gamma$ are said to be homogeneous. The grading is trivial if $R_\gamma=0$ for every nonidentity $\gamma\in \Gamma.$ A graded ring $R$ is a graded division ring if every nonzero homogeneous element has a multiplicative inverse. If a graded division ring $R$ is commutative then $R$ is a graded field.

We adopt the standard definitions of graded ring homomorphisms and isomorphisms, graded left and right $R$-modules, graded module homomorphisms, and graded algebras as defined in \cite{NvO_book} and \cite{Roozbeh_book}. We use $\cong_{\operatorname{gr}}$ to denote a graded ring isomorphism.

In \cite{Roozbeh_book}, for a $\Gamma$-graded ring $R$ and $\gamma_1,\dots,\gamma_n\in \Gamma$, $\operatorname{\mathbb M}_n(R)(\gamma_1,\dots,\gamma_n)$ denotes the ring of matrices $\operatorname{\mathbb M}_n(R)$ with the $\Gamma$-grading given by
\begin{center}
$(r_{ij})\in\operatorname{\mathbb M}_n(R)(\gamma_1,\dots,\gamma_n)_\delta\;\;$ if $\;\;r_{ij}\in R_{\gamma_i^{-1}\delta\gamma_j}$ for $i,j=1,\ldots, n.$
\end{center}
The definition of $\operatorname{\mathbb M}_n(R)(\gamma_1,\dots,\gamma_n)$ in \cite{NvO_book} is different: $\operatorname{\mathbb M}_n(R)(\gamma_1,\dots,\gamma_n)$ in \cite{NvO_book} corresponds to $\operatorname{\mathbb M}_n(R)(\gamma_1^{-1},\dots,\gamma_n^{-1})$ in \cite{Roozbeh_book}. More details on the relations between two definitions
can be found in \cite[Section 1]{Lia_realization}. Although the definition
from \cite{NvO_book} has been in circulation longer, some matricial representations of Leavitt path algebras involve positive integers instead of negative integers making the definition from \cite{Roozbeh_book} more convenient when working with Leavitt path algebras. Because of this, we opt to use the definition from \cite{Roozbeh_book}. With this definition, if $F$ is the graded free right module $(\gamma_1^{-1})R\oplus \dots \oplus (\gamma_n^{-1})R,$\footnote{
If $M$ is a graded right $R$-module and $\gamma\in\Gamma,$ the $\gamma$-\emph{shifted or $\gamma$-suspended} graded right $R$-module $(\gamma)M$ is defined as the module $M$ with the $\Gamma$-grading given by \[(\gamma)M_\delta = M_{\gamma\delta}\] for all $\delta\in \Gamma.$
Any finitely generated graded free right $R$-module is of the form $(\gamma_1)R\oplus\ldots\oplus (\gamma_n)R$ for $\gamma_1, \ldots,\gamma_n\in\Gamma$ and $\operatorname{Hom}_R(F,F)$ is a $\Gamma$-graded ring which is graded isomorphic to $\operatorname{\mathbb M}_n(R)(\gamma_1,\dots,\gamma_n)$ (both \cite{NvO_book} and \cite{Roozbeh_book} contain details).} then $\operatorname{Hom}_R(F,F)\cong_{\operatorname{gr}} \;\operatorname{\mathbb M}_n(R)(\gamma_1,\dots,\gamma_n)$ as $\Gamma$-graded rings.

We also recall \cite[Remark 2.10.6]{NvO_book} stating the first two parts in Lemma \ref{lemma_on_shifts} and \cite[Theorem 1.3.3]{Roozbeh_book}  stating part (3) for $\Gamma$ abelian. Although we use these results in case when $\Gamma$ is the ring of integers, we note that the proof \cite[Theorem 1.3.3]{Roozbeh_book} generalizes to arbitrary $\Gamma.$ The last sentence in the lemma is the statement of \cite[Proposition 1.4.4. and Theorem 1.4.5]{Roozbeh_book}.

\begin{lemma}\cite[Remark 2.10.6]{NvO_book}, \cite[Theorem 1.3.3, Proposition 1.4.4, and Theorem 1.4.5]{Roozbeh_book}
Let $R$ be a $\Gamma$-graded ring and $\gamma_1,\ldots,\gamma_n\in \Gamma.$
\begin{enumerate}
\item If $\pi$ a permutation of the set $\{1,\ldots, n\},$ then
\begin{center}
$\operatorname{\mathbb M}_n (R)(\gamma_1, \gamma_2,\ldots, \gamma_n)\;\cong_{\operatorname{gr}}\;\operatorname{\mathbb M}_n (R)(\gamma_{\pi(1)}, \gamma_{\pi(2)} \ldots, \gamma_{\pi(n)})$
\end{center}
by the map $x\mapsto pxp^{-1}$ where $p$ is the permutation matrix with 1 at the $(i, \pi(i))$-th spot for $i = 1,\ldots,n$ and zeros elsewhere.

\item If $\delta$ in the center of $\Gamma,$
\begin{center}
$\;\;\operatorname{\mathbb M}_n (R)(\gamma_1, \gamma_2, \ldots, \gamma_n)\;=\;\operatorname{\mathbb M}_n (R)(\gamma_1\delta, \gamma_2\delta,\ldots, \gamma_n\delta).$
\end{center}

\item If $\delta\in\Gamma$ is such that there is an invertible element $u_\delta$ in $R_\delta,$ then
\begin{center}
$\operatorname{\mathbb M}_n (R)(\gamma_1, \gamma_2, \ldots, \gamma_n)\;\cong_{\operatorname{gr}}\;\operatorname{\mathbb M}_n (R)(\gamma_1\delta, \gamma_2\ldots, \gamma_n)$
\end{center}
by the map $x\mapsto u^{-1}xu$ where $u$ is the diagonal matrix with $u_\delta, 1, 1, \ldots, 1$ on the diagonal.
\end{enumerate}

If $\Gamma$ is abelian and $R$ and $S$ are $\Gamma$-graded division rings, then $$\hskip1.3cm\operatorname{\mathbb M}_n (R)(\gamma_1, \gamma_2, \ldots, \gamma_n)\;\cong_{\operatorname{gr}}\; \operatorname{\mathbb M}_m (S)(\delta_1, \delta_2, \ldots, \delta_m)$$ implies that $R\cong_{\operatorname{gr}}S,$ that $m=n,$ and that the graded isomorphism of the two algebras is a composition of finitely many operations from parts (1) to (3).
\label{lemma_on_shifts}
\end{lemma}

To shorten the notation, if each $\gamma_i\in \Gamma, i=1,\ldots, k,$ appears $d_i$ times in the list $$\gamma_1,\gamma_1,\ldots, \gamma_1,\; \gamma_2,\gamma_2\ldots, \gamma_2,\; \ldots\ldots\ldots, \;\gamma_k,\gamma_k,\ldots, \gamma_k,$$ we abbreviate this list as $$d_1(\gamma_1), d_2(\gamma_2),\ldots, d_{k}(\gamma_k).$$ So, if $K$ is a graded field, we use the following abbreviation
\[\operatorname{\mathbb M}_{n}(K)(\gamma_1,\gamma_1,\ldots, \gamma_1,\; \gamma_2,\gamma_2\ldots, \gamma_2,\; \ldots\ldots\ldots,\; \gamma_k,\gamma_k,\ldots, \gamma_k)=
\operatorname{\mathbb M}_{n}(K)(d_1(\gamma_1), d_2(\gamma_2),\ldots, d_{k}(\gamma_k))\] For example, if $K$ is a field trivially graded by the group of integers, we use
$\operatorname{\mathbb M}_9(K)(4(0),3(1),2(2))$ to shorten $\operatorname{\mathbb M}_9(K)(0,0,0,0,1,1,1,2,2).$

\subsection{Leavitt path algebras}

Let $E$ be a directed graph. The graph $E$ is row-finite if every vertex emits finitely many edges and it is finite if it has finitely many vertices and edges. A sink of $E$ is a vertex which does not emit edges. A vertex of $E$ is regular if it is not a sink and if it emits finitely many edges. A cycle is a closed path such that different edges in the path have different sources. A cycle has an exit if a vertex on the cycle emits an edge outside of the cycle. The graph $E$ is acyclic if there are no cycles. We say that graph $E$ is no-exit if $v$ emits just one edge for every vertex $v$ of every cycle.

Let $E^0$ denote the set of vertices, $E^1$ the set of edges and $\mathbf{s}$ and $\mathbf{r}$ denote the source and range maps of a graph $E.$ If $K$ is any field, the \emph{Leavitt path algebra} $L_K(E)$ of $E$ over $K$ is a free $K$-algebra generated by the set  $E^0\cup E^1\cup\{e^*\ |\ e\in E^1\}$ such that for all vertices $v,w$ and edges $e,f,$

\begin{tabular}{ll}
(V)  $vw =0$ if $v\neq w$ and $vv=v,$ & (E1)  $\mathbf{s}(e)e=e\mathbf{r}(e)=e,$\\
(E2) $\mathbf{r}(e)e^*=e^*\mathbf{s}(e)=e^*,$ & (CK1) $e^*f=0$ if $e\neq f$ and $e^*e=\mathbf{r}(e),$\\
(CK2) $v=\sum_{e\in \mathbf{s}^{-1}(v)} ee^*$ for each regular vertex $v.$ &\\
\end{tabular}

By the first four axioms, every element of $L_K(E)$ can be represented as a sum of the form $\sum_{i=1}^n a_ip_iq_i^*$ for some $n$, paths $p_i$ and $q_i$, and elements $a_i\in K,$ for $i=1,\ldots,n.$ Using this representation, it is direct to see that $L_K(E)$ is a unital ring if and only if $E^0$ is finite in which case the sum of all vertices is the identity. For more details on these basic properties, see \cite{LPA_book}.

A Leavitt path algebra is naturally graded by the group of integers $\mathbb Z$ so that the $n$-component $L_K(E)_n$ is  the $K$-linear span of the elements $pq^*$ for paths $p, q$ with $|p|-|q|=n$ where $|p|$ denotes the length of a path $p.$ While one can grade a Leavitt path algebra by any group $\Gamma$ (see \cite[Section 1.6.1]{Roozbeh_book}), we always consider the natural grading by $\mathbb Z.$

\subsection{Finite no-exit graphs}
\label{subsection_finite_no_exit}
If $K$ is a trivially $\mathbb Z$-graded field, let $K[x^m, x^{-m}]$ be the graded field of Laurent polynomials $\mathbb Z$-graded by $K[x^m, x^{-m}]_{mk}=Kx^{mk}$ and $K[x^m, x^{-m}]_{n}=0$ if $m$ does not divide $n.$

By \cite[Proposition 5.1]{Roozbeh_Lia_Ultramatricial}, if $E$ is a finite no-exit graph, then $L_K(E)$ is graded isomorphic to
$$R=\bigoplus_{i=1}^k \operatorname{\mathbb M}_{k_i} (K)(\gamma_{i1}\ldots,\gamma_{ik_i}) \oplus \bigoplus_{j=1}^n \operatorname{\mathbb M}_{n_j} (K[x^{m_j},x^{-m_j}])(\delta_{j1}, \ldots, \delta_{jn_j})$$
where $k$ is the number of sinks, $k_i$ is the number of paths ending in the sink indexed by $i$ for $i=1,\ldots, k,$ and $\gamma_{il}$ is the length of the $l$-th path ending in the $i$-th sink for $l=1,\ldots, k_i$ and $i=1,\ldots, k.$ In the second term, $n$ is the number of cycles, $m_j$ is the length of the $j$-th cycle for $j=1,\ldots, n,$ $n_j$ is the number of paths which do not contain the cycle indexed by $j$ and which end in a fixed but arbitrarily chosen vertex of the cycle, and $\delta_{jl}$ is the length of the $l$-th path ending in the fixed vertex of the $j$-th cycle for $l=1,\ldots, n_j$ and $j=1,\ldots, n.$

Note that this representation is not necessarily unique as Example \ref{example_finite_comet} shows, but it is unique up to a graded isomorphism. We refer to the graded algebra $R$ above as a {\em graded matricial representation} of $L_K(E).$

\begin{example} Consider the graph below. $$\xymatrix{ {\bullet} \ar[r]& {\bullet}^u \ar@/^1pc/ [r]   & {\bullet}^v \ar@/^1pc/ [l] }$$
If we consider the number and lengths of paths which end at $u,$ we obtain $\operatorname{\mathbb M}_3(K[x^2, x^{-2}])(0, 1,1)$ as a graded matricial representation of the corresponding Leavitt path algebra. If we consider the paths ending at $v,$ we obtain $\operatorname{\mathbb M}_3(K[x^2,x^{-2}])(0, 1, 2).$ These two algebras are graded isomorphic by Lemma \ref{lemma_on_shifts} since $(0,1,1)\to (0+1, 1+1, 1+1)\to (1, 2, 2-2)=(1,2,0)\to (0, 1, 2)$ where $\to$ denotes an application of an operation from Lemma \ref{lemma_on_shifts} and results in a graded isomorphism of the corresponding matrix algebras.
\label{example_finite_comet}
\end{example}

\section{Realization of graded matrix algebras as Leavitt path algebras}

Every matrix algebra over a field $K$ or the ring $K[x, x^{-1}]$ is isomorphic to a Leavitt path algebra.
Indeed, for any positive integer $n,$ let $L_n$ be the ``line of length $n-1$'', i.e. the graph with $n$ vertices $v_1, v_2,\ldots, v_n$ and an edge from $v_i$ to $v_{i+1}$ for all $i=1, \ldots, n-1.$ Then $L_K(L_n)\cong \operatorname{\mathbb M}_n(K)$ (\cite[Proposition 1.3.5]{LPA_book} contains more details).
Adding an edge from $v_n$ to $v_n$ to $L_n$ produces a graph $C_n$ such that $L_K(C_n)\cong \operatorname{\mathbb M}_n(K[x, x^{-1}]).$ In this section, we provide a complete description of graded matrix algebras over a trivially $\mathbb Z$-graded field $K$ or over the Laurent polynomials $K[x^m, x^{-m}]$ ($\mathbb Z$-graded as in section \ref{subsection_finite_no_exit}) which are graded isomorphic to Leavitt path algebras. As a consequence, we also present conditions under which a finite direct sum of graded matricial algebras over $K$ and over $K[x^m, x^{-m}]$ can be realized as a Leavitt path algebra.

\begin{lemma} Let $n$ and $m$ be positive integers and $\gamma_1,\gamma_2, \ldots, \gamma_n$ be arbitrary integers.
\begin{enumerate}
\item If the smallest element is subtracted from the list $\gamma_1, \gamma_2, \ldots, \gamma_n,$ the elements are permuted so that they are listed in a nondecreasing order, and if $k$ is the largest element of the new list, the new list is $l_0(0), l_1(1), \ldots, l_k(k)$
for some nonnegative integers $l_1, \ldots, l_{k-1}$ and some positive $l_0$ and $l_k$ such that $n=\sum_{i=0}^k l_i.$ The integers $k$ and $l_0,l_1, \ldots, l_k$ are unique for the graded isomorphism class of $\operatorname{\mathbb M}_n(K)(\gamma_1, \gamma_2, \ldots, \gamma_n).$

\item If the elements $\gamma_1, \gamma_2, \ldots, \gamma_n$ are considered modulo $m$ and arranged in a nondecreasing order, the resulting list is $l_0(0), l_1(1), \ldots, l_{m-1}(m-1)$ for some nonnegative integers $l_0, l_1,\ldots, l_{m-1}$ such that $n=\sum_{i=0}^{m-1}l_i.$ The integers $l_0, l_1,\ldots, l_{m-1}$ are unique for the graded isomorphism class of $\operatorname{\mathbb M}_n(K[x^m, x^{-m}])(\gamma_1, \gamma_2, \ldots, \gamma_n)$ up to their order.
\end{enumerate}
\label{representatives}
\end{lemma}
\begin{proof}
(1) If  $k$ and $l_0, l_1,\ldots, l_k$ are obtained as in the statement of part (1), $\operatorname{\mathbb M}_n(K)(\gamma_1, \gamma_2, \ldots, \gamma_n)\cong_{\operatorname{gr}}$  $\operatorname{\mathbb M}_n(K)(l_0(0), l_1(1), \ldots, l_k(k))$ by Lemma \ref{lemma_on_shifts}. To show uniqueness, assume that
\[\operatorname{\mathbb M}_n(K)(l_0(0), l_1(1), \ldots, l_k(k))\cong_{\operatorname{gr}}\operatorname{\mathbb M}_n(K)(l'_0(0), l'_1(1), \ldots, l'_{k'}(k'))\] for some nonnegative $k'$ and $ l'_1, \ldots, l'_{k'-1}$ and positive $l_0', l'_{k'}$ such that  $n=\sum_{i=0}^{k'} l'_i.$
By Lemma \ref{lemma_on_shifts}, a graded isomorphism above is a finite composition of three types of operations from Lemma \ref{lemma_on_shifts}. Since the 0-component is the only nonzero component of $K,$ the identity is the only feasible operation from part (3) of Lemma \ref{lemma_on_shifts}. If a positive element is added to the list $l_0(0), l_1(1), l_2(2), \ldots, l_k(k),$ the resulting list does not have 0 in it and if a negative element is added to the same list, the resulting list does not consist of nonnegative elements, hence an operation from part (2) of Lemma \ref{lemma_on_shifts} is not present. This means that only an operation from part (1) of Lemma \ref{lemma_on_shifts} can be performed, so $l'_0(0), l'_1(1), \ldots, l'_{k'}(k')$ is obtained by a permutation of $l_0(0), l_1(1), \ldots, l_k(k).$ However, since the elements are already listed in a nondecreasing order, this means that the lists are equal so $k=k'$ and $l_i=l_i'$ for all $i=0,\ldots, k.$

(2) If $l_0, \ldots, l_{m-1}$ are obtained as in the statement of part (2), $\operatorname{\mathbb M}_n(K[x^m, x^{-m}])(\gamma_1, \gamma_2, \ldots, \gamma_n)\cong_{\operatorname{gr}}$  $\operatorname{\mathbb M}_n(K[x^m, x^{-m}])(l_0(0), l_1(1), \ldots, l_{m-1}(m-1))$ by Lemma \ref{lemma_on_shifts}. To show uniqueness, assume that
\[\operatorname{\mathbb M}_n(K[x^m, x^{-m}])(l_0(0), l_1(1), \ldots, l_{m-1}(m-1))\cong_{\operatorname{gr}}\operatorname{\mathbb M}_n(K)(l'_0(0), l'_1(1), \ldots, l'_{m-1}(m-1))\] for some nonnegative $l'_0, l'_1, \ldots, l'_{m-1}$ such that $n=\sum_{i=0}^{m-1} l'_i.$
By Lemma \ref{lemma_on_shifts}, a graded isomorphism above is a finite composition of three types of operations from Lemma \ref{lemma_on_shifts}. Since the elements in both lists of shifts are already in $\{0, 1, \ldots, m-1\},$ if an operation from part (2) of Lemma \ref{lemma_on_shifts} is present, then the results are considered modulo $m$ again using part (3) of Lemma \ref{lemma_on_shifts}. To obtain the resulting list in a nondecreasing order, the elements are permuted using part (1) of Lemma \ref{lemma_on_shifts}. This shows that there is an integer $k$ such that $l'_{i}=l_{i+_m k}$ for all $i=0, \ldots, m-1$ where $+_m$ denotes the operation of the cyclic abelian group $\mathbb Z/m\mathbb Z$ of order $m.$ If we reorder the elements $l_0, \ldots, l_{m-1}$ using the permutation of $\{0, \ldots, m-1\}$ given by $i\mapsto i+_m k,$ the list becomes $l_{0+_mk}=l'_0, \ldots, l_{m-1+_mk}=l'_{m-1}.$
\end{proof}

We say that the nonnegative integers $k$ and $l_0, l_1, \ldots, l_k$ from part (1) of Lemma \ref{representatives} are {\em representatives} of the graded isomorphism class of $\operatorname{\mathbb M}_n(K)(\gamma_1, \gamma_2, \ldots, \gamma_n).$ By Lemma \ref{representatives}, such representatives are unique. We also say that the nonnegative integers $l_0, l_1, \ldots, l_{m-1}$ from part (2) of Lemma \ref{representatives} are {\em representatives} of the graded isomorphism class of $\operatorname{\mathbb M}_n(K[x^m, x^{-m}])(\gamma_1, \gamma_2, \ldots, \gamma_n).$ By Lemma \ref{representatives}, such representatives are unique up to their order. For example, $m=2$ and $l_0=1,$ $l_1=2$ for the algebras $\operatorname{\mathbb M}_3(K[x^2, x^{-2}])(0,1,1)$ and $\operatorname{\mathbb M}_3(K[x^2,x^{-2}])(0, 1, 2)$ from Example \ref{example_finite_comet}.

\begin{proposition}
Let $n$ be a positive integer, $\gamma_1,\gamma_2,\ldots, \gamma_n$ be arbitrary integers, and $R$ be the algebra $\operatorname{\mathbb M}_n(K)(\gamma_1, \gamma_2, \ldots, \gamma_n).$ The following conditions are equivalent.
\begin{enumerate}
\item $R$ is graded isomorphic to a Leavitt path algebra.

\item $R$ is graded isomorphic to a Leavitt path algebra of a finite acyclic graph with a unique sink.

\item $R$ is graded isomorphic to $\operatorname{\mathbb M}_n(K)(0, l_1(1), l_2(2), \ldots, l_k(k))$ for some nonnegative $k$ and positive integers $l_1, \ldots, l_k$ such that $n=1+\sum_{i=1}^k l_i.$

\item If $k$ and  $l_0, \ldots, l_k$ are representatives of the graded isomorphism class of $R$, then $l_i$ is {\em positive} for all $i=1,\ldots, k$ and $l_0=1.$
\end{enumerate}
\label{matrix_rep_of_sinks}
\end{proposition}
\begin{proof}
If  $R\cong_{\operatorname{gr}} L_K(E)$ for some graph $E$, then $E$ is row-finite and acyclic by \cite[Corollary 3.5]{Lia_no-exit}. Since $R$ is unital, $E$ has finitely many vertices. A row-finite graph with finitely many vertices is finite, so $E$ is finite.
The algebra $R$ is graded simple (see the second paragraph of \cite[Remark 1.4.8]{Roozbeh_book}), so $E$ has only one sink since otherwise a graded matricial representation of $L_K(E)$ is not graded simple. This shows (1) $\Rightarrow$ (2). The converse (2) $\Rightarrow$ (1) is direct.

To show (2) $\Rightarrow$ (3), let $R\cong_{\operatorname{gr}} L_K(E)$ for some finite acyclic graph $E$ with a unique sink $v.$ Since the set of lengths of paths of $E$ which end at $v$ is finite, there is a maximal element $k$ of this set and a path $p$ to $v$ of length $k.$ Let $l_i$ be the number of paths of length $i$ to $v$ for $i=0,\ldots, k.$ Then $\operatorname{\mathbb M}_{n'}(K)(l_0(0), l_1(1), l_2(2), \ldots, l_k(k))$ where $n'=\sum_{i=0}^k l_i$ is graded isomorphic to a graded matricial representation of $L_K(E)$ and, hence, to $R$ as well. The relation $n=n'$ holds by Lemma \ref{lemma_on_shifts}. The trivial path is the only one of length zero so $l_0=1.$ The subpaths of $p$ which end at $v$ have lengths $0, 1,2,\ldots, k,$ so $l_i$ is positive for each $i=0,\ldots, k.$

To show (3) $\Rightarrow$ (2), let $k$ be any nonnegative integer and $l_1, \ldots, l_k$ be positive integers such that $n=1+\sum_{i=1}^k l_i.$ We construct a finite acyclic graph $E$ with a unique sink such that $L_K(E)\cong_{\operatorname{gr}}\operatorname{\mathbb M}_n(K)(0, l_1(1), l_2(2), \ldots, l_k(k)).$ Let $E_0$ be an isolated vertex $v_{01}.$ Obtain $E_1$ by adding $l_1$ new vertices $v_{11}, \ldots, v_{1l_1}$ to $E_0$ and an edge from $v_{1j}$ to $v_{01}$ for all $j=1,\ldots, l_1.$ If $E_{i-1}$ is created, obtain $E_i$ by adding $l_i$ new vertices $v_{i1}, \ldots, v_{il_i}$ to $E_{i-1}$ and an edge from $v_{ij}$ to $v_{(i-1)1}$ for all $j=1,\ldots, l_i.$ After $E_k$ is created, let $E=\bigcup_{i=0}^k E_i$. By construction, $E$ is finite and acyclic and $v_{01}$ is the only sink. The trivial path to $v_{01}$ is the only one of length zero and $E$ has exactly $l_i$ paths of length $i$ ending at $v_{01}$ for all $i=1,\ldots, k.$ So, $L_K(E)\cong_{\operatorname{gr}}\operatorname{\mathbb M}_n(K)(0, l_1(1), l_2(2), \ldots, l_k(k)).$

Conditions (3) and (4) are equivalent by Lemma \ref{representatives} since the representatives $k$ and $l_0, \ldots, l_k$ are unique.
\end{proof}

\begin{remark}
The key requirement in Proposition \ref{matrix_rep_of_sinks} is that the representatives $l_1, \ldots, l_{k-1}$ of the graded isomorphism class of $R$ are {\em positive}. This ensures that there are no ``gaps'' in the lengths of paths. For example, the algebra $\operatorname{\mathbb M}_2(K)(0, 2)$ is graded isomorphic to no Leavitt path algebra since if there is a path of length 2 to a sink, then there has to be a path of length 1 to that sink also.
\end{remark}

A graph is said to be a {\em comet} if every vertex connects to a unique cycle of the graph. Such graph is no-exit since if there is an exit $e$ from the only cycle $c,$ then the range of $e$ connects to the cycle $c$ implying the existence of another cycle containing $e$ and a path from the range of $e$ to some vertex of $c.$ Since the cycle $c$ is unique, no such $e$ can exist.

\begin{proposition}
Let $m$ and $n$ be positive integers, $\gamma_1,\gamma_2,\ldots, \gamma_n$ be arbitrary integers, and let $R=\operatorname{\mathbb M}_n(K[x^m, x^{-m}])(\gamma_1, \gamma_2, \ldots, \gamma_n).$ The following conditions are equivalent.
\begin{enumerate}
\item $R$ is graded isomorphic to a Leavitt path algebra.

\item $R$ is graded isomorphic to a Leavitt path algebra of a finite comet graph.

\item $R$ is graded isomorphic to $\operatorname{\mathbb M}_n(K[x^m, x^{-m}])(l_0(0), l_1(1), \ldots, l_{m-1}(m-1))$ for some positive integers $l_0, l_1,\ldots, l_{m-1}$ such that $n=\sum_{i=0}^{m-1}l_i.$

\item If $l_0, \ldots, l_{m-1}$ are representatives of the graded isomorphism class of $R$, then $l_i$ is {\em positive} for all $i=0,\ldots, m-1.$
\end{enumerate}
\label{matrix_rep_of_comets}
\end{proposition}
\begin{proof}
To show (1) $\Rightarrow$ (2), assume that $R\cong_{\operatorname{gr}} L_K(E)$ for some graph $E$. By \cite[Corollary 3.6]{Lia_no-exit}, $E$ is
a row-finite no-exit graph without sinks.  Since $R$ is unital, $E$ has finitely many vertices so the condition that $E$ is row-finite implies that $E$ is finite. The algebra $R$ is graded simple, so $E$ has only one cycle since otherwise a graded matricial representation of $L_K(E)$ is not graded simple. Hence, $E$ is a finite comet graph. The converse (2) $\Rightarrow$ (1) is direct.

To show (2) $\Rightarrow$ (3), let $R\cong_{\operatorname{gr}} L_K(E)$ for some finite comet graph $E.$ If $m'$ is the length of the cycle of $E$, $v$ is a vertex of the cycle, $l_i$ is the number of paths to $v$ of length $i$ modulo $m'$ which do not contain the cycle, and $n'=\sum_{i=0}^{m'-1}l_i,$ then $\operatorname{\mathbb M}_{n'}(K[x^{m'}, x^{-m'}])(l_0(0), l_1(1), \ldots, l_{m'-1}(m'-1))$ is graded isomorphic to a graded matricial representation of $L_K(E)$ and so to $R$ also. By Lemma \ref{lemma_on_shifts}, $K[x^{m'}, x^{-m'}]\cong_{\operatorname{gr}}K[x^{m}, x^{-m}].$ Assuming that $m'<m,$ produces a contradiction by considering the $m'$-components. One shows that $m\geq m'$ similarly and so $m=m'.$ By Lemma \ref{lemma_on_shifts}, $n=n'.$ For $i=0, \ldots, m-1,$ $l_i$ is positive since there is a subpath of the cycle which ends at $v$ and which has length $i.$

To show (3) $\Rightarrow$ (2), consider any positive integers $l_0, \ldots, l_{m-1}$ such that $n=\sum_{i=0}^{m-1}l_i.$ Construct a finite comet graph $E$ as follows. Consider an isolated cycle of length $m$ with vertices $v_0, \ldots, v_{m-1}$ ordered so that $v_{i+1}$ emits an edge to $v_{i} $ for $i=0, \ldots, m-2$ and $v_{0}$ emits an edge to $v_{m-1}.$ For each $i=1, \ldots, m-1,$ add $l_i-1$ new vertices $v_{i1}, \ldots, v_{i(l_i-1)}$ and an edge from $v_{ij}$ to $v_{i-1}$ for each $j=1,\ldots, l_i-1.$ Add also $l_0-1$ new vertices $v_{01}, \ldots, v_{0(l_0-1)}$ and an edge from $v_{0j}$ to $v_{m-1}$ for each $j=1,\ldots, l_0-1.$ The graph $E$ obtained in this way is a finite comet graph with a cycle of length $m.$ For each $i=1, \ldots, m-1,$ there are $l_i-1$ paths to $v_0$ of length $i$ which are not subpaths of the cycle and there is one path from $v_i$ to $v_0$ inside of the cycle. There are $l_0-1$ paths to $v_0$ of length $m$ which are not subpaths of the cycle and there is a trivial path to $v_0.$ So, $l_i$ is the number of paths to $v_0$ of length $i$ modulo $m$ which do not contain the cycle. Thus, $L_K(E)\cong_{\operatorname{gr}}\operatorname{\mathbb M}_n(K[x^m, x^{-m}])(l_0(0), l_1(1), \ldots, l_{m-1}(m-1)).$

Conditions (3) and (4) are equivalent by Lemma \ref{representatives} since reordering a list of positive elements $l_0, \ldots, l_{m-1}$ produces a list where all elements are also positive.
\end{proof}

\begin{proposition}
Let $k,n$ be nonnegative, $k_i, n_j, m_j$ positive, and $\gamma_{i1}\ldots,\gamma_{ik_i}, \delta_{j1}, \ldots, \delta_{jn_j}$ arbitrary integers for $i=1,\ldots, k, j=1,\ldots, n.$ If
$$R=\bigoplus_{i=1}^k \operatorname{\mathbb M}_{k_i} (K)(\gamma_{i1}\ldots,\gamma_{ik_i}) \oplus \bigoplus_{j=1}^n \operatorname{\mathbb M}_{n_j} (K[x^{m_j},x^{-m_j}])(\delta_{j1}, \ldots, \delta_{jn_j}),$$ then the following conditions are equivalent.
\begin{enumerate}
\item $R$ is graded isomorphic to a Leavitt path algebra.

\item $R$ is graded isomorphic to a Leavitt path algebra of a finite no-exit graph.

\item There are some nonnegative integers $k'_i$ and positive integers $l_{i1}, l_{i2},\ldots, l_{ik'_i}, i=1,\ldots, k,$ and $s_{j0}, s_{j1},\ldots, s_{j(m_j-1)}, j=1,\ldots,n$ such that $k_i=1+l_{i1}+l_{i2}+\ldots+l_{ik'_i},$ for all $i=1,\ldots, k,$ that $n_j=s_{j0}+s_{j1}+\ldots +s_{j(m_j-1)}$ for all $j=1,\ldots, n,$ and that
$R$ is graded isomorphic to \[\bigoplus_{i=1}^k \operatorname{\mathbb M}_{k_i} (K)(0, l_{i1}(1), l_{i2}(2), \ldots, l_{ik'_i}(k'_i)) \oplus \bigoplus_{j=1}^n \operatorname{\mathbb M}_{n_j} (K[x^{m_j},x^{-m_j}])(s_{j0}(0), s_{j1}(1), \ldots, s_{j(m_j-1)}(m_j-1)).\]

\item If $k_i'$ and $l_{i0}, \ldots, l_{ik'_i}$ are representatives of the graded isomorphism class of the algebra $\operatorname{\mathbb M}_{k_i} (K)(\gamma_{i1}\ldots,\gamma_{ik_i})$ for $i=1,\ldots, k$ and if $s_{j0}, \ldots, s_{j(m_j-1)}$ are representatives of the graded isomorphism class of the algebra $\operatorname{\mathbb M}_{n_j} (K[x^{m_j},x^{-m_j}])(\delta_{j1}, \ldots, \delta_{jn_j})$ for $j=1,\ldots,n$ then $l_{i0}=1$ and $l_{i1}, \ldots, l_{ik'_i}$ are {\em positive} for all $i=1,\ldots, k$ and $s_{j0}, \ldots, s_{j(m_j-1)}$ are {\em positive} for all $j=1,\ldots,n.$
\end{enumerate}
\label{matrix_rep_of_no-exits}
\end{proposition}
\begin{proof}
If $R\cong_{\operatorname{gr}} L_K(E)$ for some graph $E,$ $E$ is
row-finite and no-exit by  \cite[Corollary 3.4]{Lia_no-exit}.  Since $R$ is unital and $E$ is row-finite, $E$ is finite. This shows (1) $\Rightarrow$ (2). The converse (2) $\Rightarrow$ (1) is direct.

To show (2) $\Rightarrow$ (3), let $R\cong_{\operatorname{gr}} L_K(E)$ for some finite no-exit graph $E.$ By the graded version of the Wedderburn-Artin Theorem (see \cite[Remark 1.4.8]{Roozbeh_book}), by the argument that $K[x^{m'}, x^{-m'}]\cong_{\operatorname{gr}}K[x^{m}, x^{-m}]$ implies that $m'=m$ shown in the proof of (2) $\Rightarrow$ (3) of Proposition \ref{matrix_rep_of_comets}, and by reordering the terms of $R$ if necessary, we can assume that a graded matricial representation $M$ of $L_K(E)$ is
$\bigoplus_{i=1}^{k} \operatorname{\mathbb M}_{k_i} (K)(\gamma'_{i1}\ldots,\gamma'_{ik_i}) \oplus \bigoplus_{j=1}^{n} \operatorname{\mathbb M}_{n_j} (K[x^{m_j},x^{-m_j}])(\delta'_{j1}, \ldots, \delta'_{jn_j})$ for some integers $\gamma'_{i1}\ldots,\gamma'_{ik_i}$ and $\delta'_{j1}, \ldots, \delta'_{jn_j}.$
For each $i=1,\ldots, k,$ the proof of (2) $\Rightarrow$ (3) in Proposition \ref{matrix_rep_of_sinks} implies that there is a nonnegative integer $k_i'$ and positive integers $l_{i1},\ldots, l_{ik_i'}$ such that $k_i=1+l_{i1}+\ldots+l_{ik'_i}$ and that there is $\phi_i: \operatorname{\mathbb M}_{k_i} (K)(\gamma'_{i1}\ldots,\gamma'_{ik_i})\cong_{\operatorname{gr}}\operatorname{\mathbb M}_{k_i} (K)(0, l_{i1}(1), \ldots, l_{ik'_i}(k'_i)).$
For each $j=1,\ldots, n,$ the proof of (2) $\Rightarrow$ (3) in Proposition \ref{matrix_rep_of_comets} implies that there are positive integers $s_{j0},\ldots, s_{j(m_j-1)}$ such that $n_j=s_{j0}+\ldots +s_{j(m_j-1)}$ and that there is
$\psi_j:\operatorname{\mathbb M}_{n_j} (K[x^{m_j},x^{-m_j}])(\delta'_{j1}, \ldots, \delta'_{jn_j})\cong_{\operatorname{gr}} \operatorname{\mathbb M}_{n_j} (K[x^{m_j},x^{-m_j}])(s_{j0}(0), \ldots, s_{j(m_j-1)}(m_j-1)).$ If $\phi$ is $\bigoplus_{i=1}^k \phi_i\oplus \bigoplus_{j=1}^n\psi_j,$ then composing $R\cong_{\operatorname{gr}} L_K(E)$ and $ L_K(E)\cong_{\operatorname{gr}}M$ with $\phi$ produces a graded isomorphism of $R$ and a graded algebra as in condition (3).

To show (3) $\Rightarrow$ (2), let $k'_i$ be a nonnegative integer and let $l_{i1}, \ldots, l_{ik'_i}, s_{j0}, \ldots, s_{j(m_j-1)}$ be positive integers such that $k_i=1+l_{i1}+\ldots+l_{ik'_i}$ and that $n_j=s_{j0}+\ldots +s_{j(m_j-1)}$ for each $i=1,\ldots, k$ and $j=1,\ldots, n.$ By Proposition \ref{matrix_rep_of_sinks}, there is a finite acyclic graph $E_i$ with a unique sink such that $L_K(E_i)\cong_{\operatorname{gr}} \operatorname{\mathbb M}_{k_i} (K)(0, l_{i1}(1), \ldots, l_{ik'_i}(k'_i))$ for every  $i=1,\ldots k.$ By Proposition \ref{matrix_rep_of_comets}, there is a finite comet graph $F_j$ such that $L_K(F_j)\cong_{\operatorname{gr}}\operatorname{\mathbb M}_{n_j} (K[x^{m_j},x^{-m_j}])(s_{j0}(0), \ldots, s_{j(m_j-1)}(m_j-1))$ for every $j=1,\ldots,n.$ Let $E$ be the disjoint union of graphs $E_i, i=1,\ldots, k$ and $F_j,$ $j=1,\ldots,n$ so that $L_K(E)$ is graded isomorphic to a graded algebra as in condition (3).

The equivalence of (3) and (4) holds by Lemma \ref{representatives} since representatives of the graded isomorphism class of a matricial algebra over $K$ are unique and representatives of the graded isomorphism class of a matricial algebra over $K[x^m , x^{-m}]$ are unique up to their order.
\end{proof}

\subsection{Graded corners of Leavitt path algebras} If $R$ is a graded ring and $e$ a homogeneous idempotent, the ring $eRe$ is a {\em graded corner.} By \cite[Theorem 3.15]{Gene_Nam}, every corner of a Leavitt path algebra of a finite graph is isomorphic to another Leavitt path algebra. Using Proposition \ref{matrix_rep_of_sinks}, the example below shows that a {\em graded} corner of a Leavitt path algebra may not be {\em graded} isomorphic to another Leavitt path algebra.

\begin{example}
Let $E$ be the graph below.
\[\xymatrix{{\bullet}_u \ar[r]^e& {\bullet}_v \ar[r]^f& {\bullet}_w  } \]
If $\phi$ is the graded isomorphism $L_K(E)\cong_{\operatorname{gr}} \operatorname{\mathbb M}_3(K)(0,1,2)$ described in section \ref{subsection_finite_no_exit}, then $\phi$ maps the graded idempotent $u+w$ to the graded idempotent $e=e_{11}+e_{33}$ where $e_{11}$ and $e_{33}$ are the standard matrix units. So, the graded corner $e\operatorname{\mathbb M}_3(K)(0,1,2)e$ is graded isomorphic to the graded algebra $\operatorname{\mathbb M}_2(K)(0, 2).$ By Proposition \ref{matrix_rep_of_sinks}, $\operatorname{\mathbb M}_2(K)(0,2)$ is not graded isomorphic to any Leavitt path algebra.
\label{example_on_corner_which_is_not_a_LPA}
\end{example}

redpajama_set_name: RedPajamaArXiv


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Sex Facts
Eggplant Emojibator™ Review
The Eggplant Emojibator is a viral joke that got serious. While this vibrator is a humorous addition to any sex toy collection, its ten powerful settings are no joke.
You might find yourself asking, why is a vibrator shaped like an under-appreciated produce item? If you feel a little out of the loop, don't worry – you aren't the only one! Here's a handy breakdown of how kids these days are playing with their food.
Sexting Trends
Known outside the U.S. as the 'Aubergine,' the eggplant emoji is used almost exclusively by North Americans, according to a study on sexually suggestive usages of emojis across the globe. It's used alone as a phallic reference and in combination with other key emojis to allude to various sexual acts.
It also holds the distinguished honor of being the only emoji sent more frequently by men rather than female sexters.
Today's digital culture adores brevity in this era of hyper-stimulation. Why make a booty-call when you can booty-text? And for that matter, if you can text why even bother sending words? A caricature of produce clearly conveys your meaning.
Subtext is everything when communicating in 140 character bursts.
The Eggplant Emojibator
Jamie Jandler struck a chord with internet-savvy folks everywhere when he created the Eggplant Emojibator. The brain-child of a late night chat with a friend, the idea of a vibrator based on the popular emoji was tossed out as a joke; but the next day the idea was still with him.
"I wanted to create a culturally relevant and classic product, and this really hit the mark on both," Jandler explained in an interview. "It's also a great way to add a touch of humor to anyone's sex toy collection."
True to its internet roots, Emojibator launched their product with a minimalist ad campaign – targeting sexting folks across the web. The single ad was a Snapchat-style image of Jandler's cat and the eggplant with the two corresponding emojis in the text. (Get it?)
Marketing so deliberately to Millennials with language coded for that generation and younger has its risks; but clearly, given Emojibator's success, it has its benefits as well.
Humor also comes across in product packaging – a sleek carrying case with the product's logo inscribed on the inside: "Go F*&! Yourself, Literally."
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"The day that we launched I sent my mom the article. She and my dad were just laughing hysterically." Jandler explained in a later interview.
Jandler knows that the fall of his company might be as quick as its success. The Emojibator team is growing and building a solid foundation in hopes of being a lasting player in the sex toy industry.
#FreeTheEggplant
It doesn't seem like the emoji jokes are going away anytime soon. The Unicode characters are not copyrighted – unlike some emojis created and licensed specifically for Apple or Android devices – and the cornucopia of imagery from which users can choose from is constantly growing. Among other new options, a pickle, carrot, cucumber, croissant and baguette will all be making erotic innuendos on screens everywhere soon.
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The Chili Pepper Emojibator
The Emojibator team is ready for a changing language and landscape with their target demographic in the years to come. They've already launched a second toy: the Chili Pepper Emojibator.
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redpajama_set_name: RedPajamaCommonCrawl


text:
#EndSARS: No Accurate Information On Fatalities Of Lekki Shooting – US Report
April 1, 2021 editor	10 Views#EndSARS, #Lekkimassacre, Amnesty International, Lagos, Lekki Shooting, US 1 min read
The US Department of State says there is no accurate information on the fatalities of the shooting that took place in Lekki, Lagos state, during the #EndSARS protest.
Hours before a curfew was scheduled to begin on October 20, soldiers had stormed the Lekki tollgate — where protesters had gathered — and started shooting.
The Lekki incident had elicited widespread condemnation within and outside Nigeria, with the #LekkiMassacre trending on social media.
Although the army says nobody was fatally injured as blank bullets were shot into the air, Amnesty International insisted that people died of gunshot injuries.
But according to a 2020 Country Reports on Human Rights Practices released by the US on Tuesday, the casualty figure was said to be unverified by other organisations.
"The national police, army, and other security services sometimes used force to disperse protesters and apprehend criminals and suspects. Police forces engaging in crowd-control operations generally attempted to disperse crowds using nonlethal tactics, such as firing tear gas, before escalating their use of force," the report read.
"On October 20, members of the security forces enforced curfew by firing shots into the air to disperse protesters, who had gathered at the Lekki Toll Gate in Lagos to protest abusive practices by the Nigerian Police Force's Special Anti-Robbery Squad (SARS).
"Accurate information on fatalities resulting from the shooting was not available at year's end. Amnesty International reported 10 persons died during the event, but the government disputed Amnesty's report, and no other organization was able to verify the claim.
READ ALSO Electoral Bill Passage Deadlocked, Reps Summon INEC, NCC
"The government reported two deaths connected to the event. One body from the toll gate showed signs of blunt force trauma. A second body from another location in Lagos State had bullet wounds.
"The government acknowledged that soldiers armed with live ammunition were present at the Lekki Toll Gate. At year's end the Lagos State Judicial Panel of Inquiry and Restitution continued to hear testimony and investigate the shooting at Lekki Toll Gate."
Lai Mohammed, minister of information and culture, had called on Amnesty International to show proof of the people reportedly killed during the shooting at Lekki tollgate.
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text:
Silk Road Rising Announces 2017-2018 15th Anniversary Season
by BWW News Desk
BroadwayWorld.com Jun. 15, 2017
Silk Road Rising has announced its 15th Anniversary Season, which includes two world premieres, one U.S. premiere, and three staged reading series. Announcing the season, Founding Artistic Director Jamil Khoury said, "When a New Theatre Company launches its first season, all hopes are pinned on reaching a second. Then a fifth. Then a tenth season. Each one a milestone in its own right. But the tenth season is seen as a tipping point-from there, the company either begins to power down or commits to longevity. Five years later, the coveted fifteenth season shines as a testament to their achievements-to the relevance of the company's mission, the quality of its artistic work, the veracity of its artists and staff, and the sheer vitality of its role within the theatrical ecosystem."
"Please join us," Khoury continued, "for Silk Road Rising's 15th Anniversary Season as we bear witness to why the stories we tell and the playwrights we produce help make Chicago theatre that much richer and more responsive. Be part of celebrating the enormous achievement that is Silk Road's fifteen seasons on stage, online, in the classroom, and in the community. Because without our audiences and supporters we wouldn't be here today. So here's to a seminal anniversary and to building the next fifteen!"
Mainstage Productions
Wild Boar - The U.S. Premiere
November 9 to December 17, 2017
Press Opening: Saturday, November 18, 2017, at 4:00pm
Written by Candace Chong
Chinese to English Translation by Joanna C. Lee and Ken Smith
Adapted by David Henry Hwang
Directed by Helen Young
A gripping investigation of journalistic integrity, city planning, and social conscience, Wild Boar is a new play from one of Hong Kong's most acclaimed playwrights. When a controversial professor goes missing, an editor and his student band together to publicize the truth. Old flames spark and friendships are tested in the U.S. premiere of this thriller about media manipulation, fake news, and who gets to speak for the poor.
Through the Elevated Line - The World Premiere
March 8 to April 15, 2018
Press Opening: Saturday, March 17, 2018, at 4:00pm
Written by Novid Parsi
Directed by Carin Silkaitis
Having fled Iran after being imprisoned for being a gay man, a damaged Razi arrives at his sister's Chicago doorstep only to disrupt the life she and her American husband have built together. As the Chicago Cubs vie to make history, rivalries of a different kind simmer in the Uptown walk-up that Razi yearns to call home. With echoes of A Streetcar Named Desire, Novid Parsi's world premiere drama probes the boundaries between family, loss, prejudice, and desire.
Hollow/Wave - The World Premiere
May 17 to May 27, 2018
Written and Performed by Anu Bhatt
Directed by Barbara Zahora
Anu Bhatt combines the personal with the poetic in her new one-woman show about depression, body image, and sexual assault. Seeking a balance of identities as a South Asian working actor in Chicago, Bhatt investigates the meaning of success as she embraces her own unique identity. With courage and self-effacing humor, she combines raw memories with lyricism in a daring dance for empowerment through imperfection.
Crescent and Star Staged Reading Series: Arab and Muslim Journeys
Twice, Thrice, Frice
August 5 and 6, 2017
Written by Fouad Teymour
Directed by Kareem Fahmy
After news of an affair involving one of their husbands, long-held secrets begin to emerge in the lives of three Muslim women, threatening the friendship that binds them together. With humor and mischief, Twice, Thrice, Frice unleashes a debate about polygamy and fidelity, as each woman struggles with her sexuality and faith.
Jihad Against Violence: Oh ISIS Up Yours!
August 19 and 20, 2017
Written by Fawzia Afzal-Khan
Directed by George Potter
A Muslim feminist responds to the hijacking of Islam by patriarchal extremists. Her unfiltered, stream of consciousness reflections provide a potent indictment of the surreal and sardonic world we now inhabit, and a welcome reminder that sisterhood is powerful.
We Swim, We Talk, We Go to War
September 9 and 10, 2017
Written by Mona Mansour
Directed by Anna Bahow
Should an Arab American enlist in the U.S. Army? A progressive woman and her conservative nephew dip into the treacherous waters of identity, family, and militarism. Co-commissioned with San Francisco's Golden Thread Productions and New York's Lark Play Development Center as part of the Middle East America New Plays Initiative, We Swim, We Talk, We Go to War blurs the lines between "us" and "them," presenting a provocative exploration of the tragic and indelible ripples of war.
In Collaboration with the Goethe-Institut: A Pairing of Staged Readings
P3M5: The Plurality of Privacy Project
What does privacy mean in the digital age? P3M5 is a groundbreaking transatlantic theater project featuring 5-Minute Plays from such renowned playwrights as Philip Kan Gotanda, Kenneth Lin, Rachida Lamrabet, and Marioan Hosseini. Presented in collaboration with the Goethe-Institut Washington, D.C. and theaters across the U.S. and Europe, the collection aims to create an artistic and cultural dialogue around our divergent understandings of privacy in North America and Europe.
February 3 and 4, 2018
Written by Mehdi Moradpour
Translated from German to English by Neil Blackadder
German Iranian playwright Mehdi Moradpour's Reines Land, nominated for the Munich Prize for German Drama, traces the story of Tara, a pregnant Middle Eastern woman seeking political asylum amidst crippling bureaucracy and crumbling relationships. Translated from German to English with the same poetic language that won Moradpour the Eurodram Award, and presented in collaboration with the Goethe-Institut Chicago, Pure Land pits a torturous past against an uncertain future with sobering effect.
New China Festival: Staged Readings of Plays from China and Taiwan
Sponsored by the National Endowment for the Arts
Plays To Be Announced
Curator: David Henry Hwang
Lead Director: Helen Young
Staged readings of three plays translated from Chinese to English that highlight the work of contemporary playwrights from China and Taiwan. Stylistically and aesthetically diverse, the featured plays examine a Chinese society rife with tensions between tradition and accelerating change, consumerism and communism, and authoritarianism and personal freedom. New China Festival will also include a panel discussion about the state of theatre in the Chinese speaking world and the insights American audiences can gain from Chinese plays.
For their 15th Anniversary Season, Silk Road Rising is offering three different subscription options:
15th Anniversary Season Mainstage FlexPass - $85.00
Each 15th Anniversary Season Mainstage FlexPass offers you one ticket to all three of our Mainstage Productions (Wild Boar, Through the Elevated Line, and Hollow/Wave).
15th Anniversary Season Staged Reading Series FlexPass - $80.00
Each 15th Anniversary Season Staged Reading Series FlexPass offers you one ticket to each play in our Staged Reading Series (Crescent and Star Series, In Collaboration with Goethe-Institute Series, and New China Festival).
15th Anniversary Season FlexPass + Staged Reading Series Total Access - $165.00
Each 15th Anniversary Season FlexPass + Staged Reading Series Total Access offers you one ticket to all three of our Mainstage Productions (Wild Boar, Through the Elevated Line, and Hollow/Wave), as well as one ticket to each play in our Staged Reading Series (Crescent and Star Series, In Collaboration with Goethe-Institute Series, and New China Festival).
Subscriptions are available by calling the Box Office at 312.857.1234 ext. 201 or online at www.SilkRoadRising.org. Tickets may be redeemed for any performance during the show's run.
About Silk Road Rising
Founded in 2002 as a creative response to the terrorist attacks of 9/11, Silk Road Rising creates live theatre and online videos that tell stories through primarily Asian American and Middle Eastern American lenses. Through its work, Silk Road Rising helps create a world that values art over ideology and inquiry over dogma.
This year, NewCity named Silk Road Rising co-founders Jamil Khoury and Malik Gillani as "Players of the Moment" on their January 2017 cover issue, noting that "the very existence of Silk Road Rising has become as imperative as its mission."
Silk Road Rising's 2017-2018 Mainstage Season is partially sponsored by ComEd and The Bass Fund. "New China Festival: Staged Readings of Plays from China and Taiwan" is sponsored by a grant from the National Endowment for the Arts. Silk Road Rising is also supported through the generous support of Alphawood Foundation, Chicago Community Trust, The Field Foundation of Illinois, The Joyce Foundation, MacArthur Foundation for Arts and Culture at Prince, The Elizabeth Morse Charitable Trust, and Polk Bros. Foundation.
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Let's "surf" the "world wide web".
Back in the day when we all sported a Nokia 3310 and VHS was still king, the internet was a very different place. Those now iconic dial-up pings and pongs preceded every trip into this new, digital world and downloading a picture took minutes rather than milliseconds. Seriously, how did we ever live like that?
Years before Facebook, Netflix and, of course, Digital Spy dominated all of our online experiences, there was a very different batch of websites that used to rule the roost. Anyone remember this lot?
If you were born before 1995, chances are your first venture into the internet was aided by AOL. Seriously, who doesn't remember those AOL disks coming through the post? Many people's homepage to the internet, it handled everything from your email and news needs to weather forecasts and even a bit of casual gaming. Even after you cancelled your AOL subscription (the most complicated and frustrating process ever created), ridding your machine of AOL's sodding software was near enough impossible.
Forget your MMOs and connected console campaigns, early online gaming was all about basic Flash titles and the king here was New Grounds. The bane of any IT teacher's existence - who didn't have this running in the background during class? - New Grounds offered an ever-changing array of basic, but brilliantly addictive titles. Many of which would still comfortably help you pass a couple of hours now.
OK, so Kazaa was more than a little bit dodgy, letting you download music, videos and pictures without, y'know, paying. But it was fun spending time on the green and white service hunting out a copy of the latest Offspring or Blur album that didn't distort and disappear halfway through. It wasn't big or clever, but before we knew the rights and wrongs of internet etiquette, it was a regular stopping point.
Nowadays you can download music on any smartphone, laptop or, heck, WiFi-enabled toilet. Back in the day, however, you either spent a ton of money on iTunes or visited Napster and, well, didn't. It's been reinvented time and time again in recent years (mostly after high-profile legal proceedings), but is now the relic of digital download space.
Long before Facebook and the others, there was another means of keeping in touch with the wider world and forming quick-hit friendship groups. As well as letting you chat with chums, MySpace was the place every budding musician - or tuneless berk with a guitar - could upload and share their own tracks, even if no-one else listened to them. We wonder how many friends good ol' MySpace Tom has left now?
Yahoooooooo! If you weren't part of the AOL clan, chances are that your front door to the internet was this other American giant. Back when the internet was more text-heavy and filled with blue hyperlinks, Yahoo offered everything the introductory internet user needed. There was news, there was weather, there was sport and even horoscopes. As well as being a digital newspaper, it offered a couple of casual games and a few shopping options. It was the king... until the rest of the internet arrived.
A hybrid mash-up of AOL meets Google, sort of, Lycos was a search engine, email host and general one-stop internet shop all in one. It was more than that though: it was the place where you could get free ringtones for your new Nokia and drop a bit of cash on downloading some heavily pixelated logo graphics to fill your handset's tiny monochrome display. Anyone for a barbed-wire-adorned 3310?
Thanks to Facebook it's now impossible to escape the buggers, but back at the turn of millennium keeping in touch with old school friends and snooping on what their lives were like now was almost impossible. That's where Friends Reunited came in. As well as rekindling old flames, it helped families keep in touch across the world and new friendships form based on common interests. If only the internet had something like that now... oh, wait.
Not paying for music online wasn't exclusively reserved for dodgy downloads. Before Spotify came along and mixed things up, Last.FM was the only place to go. It let you build personalised playlists based on the music on your machine and your digital radio stations of choice, something that was unheard of at the time. It's still going, but it's a long way from its early '00s high.
Back before Google ruled the world and search engines were a novelty rather than a way of life, the ability to pose fully-formed questions to a digital butler felt like the future. Sadly, Ask Jeeves didn't really move with the times. Needless to say, Google won, big time, and Jeeves now couldn't even get a gig on Celebrity Love Island.
Believe it or not, there was a time when bloggers weren't celebrities in their own right, just people sat in their bedrooms spewing their every thought at the internet. That was when LiveJournal ruled the web. Essentially Word with an archive feature, you could create personal journals and diaries that your mum could never find stuffed under your mattress.


It's back to basics with this pure honey granola every grizzly bear loves. Tossed with a dash of extra light olive oil and hand cooked with lots of love. Only the finest honey and whole grain rolled oats used!


Home / ExactHire Blog | HR Articles / HR Solutions / Is Your HR Software Hurting Your Employee Experience?
Human resources technology is in a unique position to not only provide employers with employee experience data, but to also influence the quality of the employee experience, itself. For years software applications have allowed HR departments to more efficiently manage the administrative tasks associated with people management, but now through next generation interfaces, applications are enabling employee self-service in new and exciting ways, too.
From automatic prompts for new hires to schedule mentoring luncheons to instant access to an interactive, virtual organization chart, modern talent wants information on the go and on demand. But, despite the increasingly innovative ways in which automation can empower both employees and HR to process data, there should still always be a place for "actual human" engagement between applicants, employees, HR and management.
With so many options available in the HR tech space, and numerous factors impacting a successful vendor selection outcome, it's no surprise that HR software often turns into a love-hate relationship with employers. The key to whether you have the most suitable HR software in place certainly depends on the degree to which it aligns with your people strategy, but also its ability to turn stored HR data into impactful workforce insights.
In this blog, we'll discuss the following HR technology considerations for evaluating whether an application will have a positive impact on your organization's overall employee experience.
You might ask how relevant the initial implementation phase is to the entire employee experience. After all, arguably it may only touch a handful of administrative users in human resources before the product is unveiled to an entire organization for use. However, how many of us have heard about painful software implementations that have taken (gasp!) more than a year!
While hopefully this is the exception more than the rule within your HR tribe, even month-long implementations can adversely impact the employee experience when you consider the hasty stop-gap plans that are used while waiting for a new product.
When selecting a technology vendor, verify whether implementation is likely to take weeks or months. Also, do research to substantiate whether this expectation has been accurate for other customers. If your plan is to implement more than one module of an application at different points in time, have a good understanding of how the vendor partner supports you in the first phase versus subsequent implementation phases (once the new client "honeymoon" may be over).
For many employers, the quality of the employee experience is influenced by the timeliness with which information is made available to employees upon their request. Some requests must be addressed by pulling data from HR software applications. Your organization's ability to process these requests will depend not only on staff members' ability to use the software effectively, but also the vendor's responsiveness when your team needs assistance.
Take a hard look at your organization's true support needs while thinking about the tech savviness of your own team as well as the quantity and quality of the vendor resources available. Will you be content to wait three days for a support ticket response from your vendor, or do you usually require same-day assistance? Is it easy to search for the training resources you need to learn how to use new software features? The faster you can get the information you need as an internal product champion, the faster you will be able to serve the needs of your own employees.
Should my organization adopt an all-in-one human resources information system (HRIS) or a series of stand-alone specialty applications?
This may be the most polarizing question in the HR technology space, and your preferred camp will depend on the needs of your employer. It may also depend on what you inherited from your predecessors when joining your organization. In fact, the chart below shows that many respondents from ExactHire's 2018 Tech-Based Employee Experience Survey use both an HRIS and other stand-alone specialty applications. In fact, the two camps are not mutually exclusive.
The following factors may help you determine which product mix is right for your organization.
Which pieces of the talent management process are taking up the most time for HR? When HR is buried in administration, "actual human" engagement suffers. If recruiting is the priority due to adding a new office location, for example, then a robust applicant tracking system may be desirable compared to a payroll company's HRIS recruiting module. However, if hiring happens relatively infrequently but payroll is complicated, then an employer may prefer an HRIS with basic recruiting capabilities for the occasional job opening.
If end-to-end integration of data is the priority for your organization, then consider whether any sacrifices you make on features outweigh the opportunity cost of time spent on potential data export/import activities.
Or, if you plan on integrating separate solutions, understand how employees move through the virtual employment life cycle and make sure data remains accurate across systems and easily accessible.
Will the functionality that applicants or existing employees expect from your organization (relative to your competitors) be available in an all-in-one system? Or, is there an application that you can use as your data change "single source of truth" that pushes information to periphery applications via one-way integration?
Do today's tech needs look similar to your tech needs one to two years from now? If not, consider the scalability of any stand-alone applications and/or the ability to easily incorporate additional HRIS modules later.
When evaluating different types of systems, think about what you need today and whether you are paying only for your needs today…or also for things you might need some day. Finding the balance between paying for scalability vs. paying for unnecessary feature bloat isn't always easy. Spending more money on ultimately underutilized technology means less money available for other programs that may positively impact the employee experience.
Customer self-service options abound in the information economy. From scanning your own groceries to using Alexa as your modern mix tape, consumers' ability to help themselves is a killer advantage in the competition for market share. The same dynamic exists in the employment arena–employers that implement the right combination of personal interaction mixed with savvy self-service options are winners in the war for talent.
And not only does giving employees the ability to help themselves engage them, it frees HR to work on other experience initiatives. Additionally, it ensures the accuracy of HR data since it is regularly verified by the true authority on the data–the employee.
Be sure and have a clear understanding of how any software application's self-service options may empower your own employees to do more. For example, look for applications that provide subsequent prompts for users to take advantage of other features that would be of interest based on their existing system usage or profile. By providing employees prompts to provide more information over time, software improves the user experience and avoids leaving employees feeling like they are "drinking from the fire hose" just to start using an application.
Think about your employees' primary means of communication within the organization. Is it predominantly email, or do many conversations live in chat windows or even in Slack? Wherever correspondence lives, it probably does so because that channel is comfortable, well-established and easy-to-use.
The same must be true of your HR technology in order to engage applicants or existing employees to use communication tools to collaborate on the employee lifecycle. Consider the following questions to assess a software application's communication tools.
Is it easy to email someone from the software application? And if that person responds, is his response also documented in the software interface?
Can users easily connect with one another and take action on pending items within the application (e.g. assign tasks, make notes, update progress)?
Is it possible to schedule events within the software via calendar integration?
Do other integrations exist between the software application, social media sites and other related third party sites?
The more your human resources technology aligns with the communication style already preferred by your employees, the better. You want the tools you make available to your workforce to enhance its productivity…not disrupt it.
One of the most exciting aspects of smart technology is how it enables us to transform stored data into actionable information–allowing employers to spot trends and take action. Emerging HR technology goes a step further and uses artificial intelligence to analyze existing data to predict future outcomes. These predictive insights are the competitive advantage employers need to attract talent that is the best fit for the organization and retain that talent for maximum productivity.
Insights traditionally originate in the reporting dashboard of your HR software. And, the degree to which you will be able to run customized reports and use existing data to make decisions about new hires or new HR processes will vary across software applications. In fact, in the aforementioned survey, only 42% of respondents indicated they have no issues extracting the information they need from their existing HR software.
having access only to canned reports without the ability to build custom reports on demand.
Your software shouldn't be holding your employee data hostage.
Best-in-class HR technology gives administrative users access to a virtual workforce explorer to pull incredibly specific data insights on their employee population. Additionally, look for more functionality to marry data from one aspect of the employee life cycle to another to make better decisions. For example, do insights about your best performing existing employees allow you to better vet applicants with similar attributes? More specifically, does your software application prompt you to easily make those correlations?
Employees' opinions about their own experience constantly evolve, and even the smallest radar blips can cause significant declines in satisfaction and engagement over time. The good news is that human resources technology is your tool for measuring the employee experience and capturing insights on how to improve it.
If you have reservations about your current system, then use the considerations presented in this blog to begin evaluating your next steps for incorporating HR software that is better suited to your organization. In our next blog, we'll address strategies for making a business case for new technology adoption.
How Does a High-Engagement Culture Drive Business Results?


Asia Pacific Digital Limited (APD), a digital services company, has announced new members of its Board, Laura Ashton and Mark Dalgleish, and the retirement of David Sweet, a longstanding non-executive director.
These appointments bring both client and service provider experience to the table.
Laura Ashton is the Singapore-based head of Asia Pacific and global relationship marketing at A.T. Kearney, a leading global management consulting firm with offices in more than 40 countries.
Throughout her 30-year career, which includes 18 years in Asia, Ashton has held marketing and leadership roles at national, regional and global levels in diverse industries including consumer packaged goods, advertising, downstream energy, consumer durables, electronics and professional services.
Mark Dalgleish is a Sydney-based digital marketing entrepreneur with more than 25 years' experience in marketing and communications. Dalgleish has previously built and sold two market-leading digital businesses in the UK and Australia, which were subsequently acquired by international advertising and marketing groups Interpublic and Enero.
"Laura and Mark have significant international experience as both clients and suppliers of marketing and technology services. The combination of Laura's client-side leadership across diverse industry sectors, and Mark's success in building and selling digital businesses, will greatly enhance the APD Board," said Roger Sharp, Asia Pacific digital chairman.


I used to be busy whenever we have special occasions and celebrations at home. It is because I am the one who's in charge in the kitchen. But this time, I chose not to cook because I wanted to enjoy our New Year's Eve Celebration. I wanted to have enough strength and energy because oftentimes I will not anymore enjoy the celebration because all of my strength were already consumed in all the preparation. I'm just so thankful that today we only have to prepare simple foods for dinner. My mother in-law will prepare "Sotanghon" while hubby will be baking "Tuna Panga". All other foods are to be bought outside. My task for today is to clean and beautify the house. Well, it isn't that hard to do… I guess I will have to start now so that everything will be prepared on time.


It is crucial for young adults to have an understanding of personal finance and how to manage money in the real world. Since this topic is not required in most high schools and colleges, young adults should take the time to learn about this topic outside of the classroom. For some guidance, these are a few tips that will help you gain some more insight into money and how you can live an enjoyable and profitable life.
Learning self-control sooner than later will make it much easier to manage finances. While it is extremely convenient to charge items on credit, you may end up paying more for the item in the long run. Even if you are able to pay off your bill in full at the end of each month, you could still be paying for those items years down the road. Instead, it's better to wait until you have saved up for that new pair of jeans. You can still keep your credit cards for the rewards they offer and their overall convenience, but ensure you pay your bill in full at the end of the month, every month.
People love to spend others money more than their own, so if you don't learn how to manage your own finances, someone else will mismanage it for you. Some of those people could mean well but don't understand finances themselves, while others could have ill-intentions and are looking to make some money from your naivety. Instead of seeking guidance from others, take ownership of your finances and actively research personal finance and make sure you fully understand how money works and how you can make it work for you.
It is incredibly important that you do not spend more money than you make. The best way to ensure this is to budget. Knowing where your money goes every month will also show you that some items you don't necessarily need (like that Venti Macchiato you get every morning), quickly add up. This will allow you to make small changes in your everyday expenses and could ultimately impact your finances in the same way getting a raise would.
Creating a savings account or emergency fund will save you extra stress and heartache in the event an emergency occurs and you have a big bill to pay, such as getting into a car accident. No matter how low your income seems, set aside a sum of money per month to contribute to your savings. The Richest Man in Babylon by George S. Clason includes a parable that recommends setting aside 10% of your income a month to pay yourself first. Make this a non-negotiable expense and set yourself up for financial success in the long-run.
Understanding how taxes work is vital information you should know before you even receive your first paycheck. You need to know if the starting salary a company offers you will be enough to cover your expenses and meet your financial goals after taxes are deducted. Do some research on this and become familiar with the process. Additionally, you can use a handy online calculator that will show you your gross pay, tax deductions, and your net, or take-home pay.


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DA Dance Studio works with membership subscriptions. Every month you can upgrade and downgrade your membership. Our membership is for at least 12 months. We have 3 membership levels: basic pass, half pass and full pass. For students we offer a student basic pass with student discount.
We use automatic monthly bank deductions for our membership. These deductions happen between the 14th and 21st of each month.
You are always welcome to join for a trial lesson. Please reserve a spot by sending us an e-mail. We will send you a confirmation.
A trial lesson costs €12,-. If you immediately sign up after your trial lesson you will get your trial lesson for free.
If you miss a lesson you have to give us notice before missing the lesson in order to be eligible to catch it up.
For partner lessons you need to make sure you have a partner.
You can only catch up with lessons of your own level or lower.
Catching up a missed solo lesson with a partner lesson (or vice versa) is also possible, come and try something else!
A Trial Membership is only valid during the month of purchase. A Year Membership is for a period of 12 consecutive months. After these 12 months the membership will automatically be renewed monthly until notice. Time of notice is at least 1 month ahead, via letter or e-mail only.
Up- and downscaling is possible every month, pausing the membership is possible for maximum 1 month. Pausing the membership will extend the membership period by 1 month.
The first month is paid via PIN, cash or via the website. This price includes the registration & administration costs. Prices of the 1st month are equal to a trial membership.
Payment of the second month and onwards is via automatic bank collection, authorization is required.
For the happiness and safety of all our visitors we've drawn up a set of Terms & Conditions and House Rules. These are available at www.da-studio.nl and in the dance studio.
Our dance classes and their membership are subject to our Terms and Conditions.


text:
ROCK AND ROLL LEGEND DIES AT 78
By Christine Ross
The lead singer of the famed girl group The Ronettes has died.
Ronnie Spector famous for songs like Be My Baby has died of cancer. She was 78.
The Ronettes were trailblazers formed in 1957 with Ronnie, her sister, Estelle and her cousin, Nedra.
In 1965, they were voted the third top singing group in England, trailing only The Beatles and The Rolling Stones.
They teamed up with legendary music producer Phil Spector who was married for Ronnie until their divorce in 1972.
The Ronettes were inducted into the Rock and Roll Hall of Fame in 2007.


text:
Нитрат таллия — неорганические соединения, соли металла таллия и азотной кислоты:

 Нитрат таллия(I)
 Нитрат таллия(III)

redpajama_set_name: RedPajamaWikipedia


text:
Q: Fabric crashlytics with react native error I'm working in integrating  Fabric crashlytics in android react native app following this tutorial. But after installing Fabric package using react-native install react-native-fabric I try to lunch the app with npm run android I got this error:

A problem occurred configuring project ':react-native-fabric'.
Could not resolve all files for configuration ':react-native-fabric:classpath'.
Could not find lint-gradle-api.jar (com.android.tools.lint:lint-gradle-api:26.1.2).
       Searched in the following locations:
           https://jcenter.bintray.com/com/android/tools/lint/lint-gradle-api/26.1.2/lint-gradle-api-26.1.2.jar

My build.gradle:
// Top-level build file where you can add configuration options common to all sub-projects/modules.
buildscript {
    ext {
        buildToolsVersion = "27.0.3"
        minSdkVersion = 16
        compileSdkVersion = 27
        targetSdkVersion = 26
        supportLibVersion = "27.1.1"
        googleServicesVersion = "17.1.0"
    }

    repositories {
        maven { url 'https://maven.fabric.io/public' }
        maven {
            url 'https://maven.google.com/'
            name 'Google'
        }
        google()
        jcenter()
    }

    dependencies {
        classpath 'com.android.tools.build:gradle:3.1.4'

        // These docs use an open ended version so that our plugin
        // can be updated quickly in response to Android tooling updates

        // We recommend changing it to the latest version from our changelog:
        // https://docs.fabric.io/android/changelog.html#fabric-gradle-plugin
        classpath 'io.fabric.tools:gradle:1.+'

    }
}

plugins {
    id 'com.palantir.git-version' version '0.11.0'
}

allprojects {
    repositories {
        mavenLocal()
        maven {
            // All of React Native (JS, Obj-C sources, Android binaries) is installed from npm
            url "$rootDir/../node_modules/react-native/android"
        }

        maven {
            url "https://maven.google.com"
        }

        maven { url "https://jitpack.io" }
        google()
        maven { url 'https://oss.sonatype.org/service/local/repositories/snapshots/content/' }
        maven { url 'https://oss.sonatype.org/service/local/repositories/releases/content/' }
        jcenter()
    }

    tasks.whenTaskAdded { task ->
        if (task.name.contains("lint")) {
            if (!task.toString().contains("app")) {
                task.enabled = false
            }
        }
    }
}

ext {
    apkCode = 1

    // Apisense dependecies
    apisenseVersion = "1.12.0.beta2"
    apisenseDevVersion = "1.13.1-alpha-SNAPSHOT"
    intentStingVersion = "0.0.1-alpha"
    intentStingDevVersion = "0.0.1-alpha-SNAPSHOT"
}

A: This is a problem with react-native-fabric own build.gradle file... and with JCenter maven repository.
Look at this issue on their github :
https://github.com/corymsmith/react-native-fabric/issues/200
basically, you can unblock yourself by editing directly the node_module/react-native-fabric/android/build.gradle file (change the maven repositories order, moving Jcenter down Google)
They have to release a NPM version for this fix yet...
EDIT
Actually, if you don't want to edit your node_module. build.gradle, you can override this setting in your root project build.gradle (android/build.gradle). Here's my config that fixed it (I'm no Gradle expert, yours might be different)
allprojects {
    repositories {
        mavenLocal()
        google()

        maven {
            // All of React Native (JS, Obj-C sources, Android binaries) is installed from npm
            url "$rootDir/../node_modules/react-native/android"
        }
        maven {
            // Firebase : Google Play services from 11.2.0 +
            url 'https://maven.google.com'
        }
        jcenter()
        configurations.all {
            resolutionStrategy {
                // fix dependency problem on react-native-maps 0.20.1
                //force "com.android.support:support-v4:27.1.0"
            }
        }
    }

    buildscript {
        repositories {
            mavenLocal()
            google()

            maven {
                // All of React Native (JS, Obj-C sources, Android binaries) is installed from npm
                url "$rootDir/../node_modules/react-native/android"
            }
            maven {
                // Firebase : Google Play services from 11.2.0 +
                url 'https://maven.google.com'
            }
            jcenter()
            configurations.all {
                resolutionStrategy {
                    // fix dependency problem on react-native-maps 0.20.1
                    //force "com.android.support:support-v4:27.1.0"
                }
            }
        }
    }

}

redpajama_set_name: RedPajamaStackExchange


text:
» Global Distribution » Shipment Stories » Cameroon: Community Development
Cameroon: Community Development
Our partners in Cameroon paint a picture of how difficult it is to break free from poverty, with severely under-resourced schools, hospitals and medical facilities:
"In our communities, more than 70% of children find it hard to complete each school year because of lack of books, materials and paying fees. The schools lack learning materials," wrote our partners. "Almost all health facilities in the area lack equipment and aren't able to fully meet the needs of their patients." In most communities it is difficult for people to even reach the hospital, because of a total lack of transportation. Even when they trek for kilometres to get there, there is no equipment, or not enough beds."
With few employment and training opportunities for youth, our partners' programmes with young people and single mothers are a filling an urgent need. "Because the rate of unemployment continues to increase, many youths become violent and are a source of troubles in communities like sexual abuse and prostitution." We are pleased to be supporting the work of these partners, as they seek to empower their communities through training, education, health support and more.
We are shipping goods like sound equipment, clothing, furniture, office equipment, beds and bedding, recreational and educational toys, and more.
MARY'S STORY
Mary is a widow with three children. She was married to a farmer, and while he was the breadwinner, Mary had no need for further education or job training. When he died at just 28 though, she was left hopeless. Three months later, her farm was taken back by her husband's relatives, meaning Mary and her children were now homeless. Feeling desperate, Mary turned to prostitution, which led to her becoming pregnant with a fourth child. When our partners met her, she felt ashamed and unworthy of help, but she soon blossomed with 12 months of intensive training in tailoring skills. Today, with all her children in school, she's financially independent and employing two other women in her tailoring shop.
This shipment will include goods to support the tailoring programme that helped Mary and other single mothers.
THE NGIDA FAMILY'S STORY
Even though Grace and Njih both hold university degrees, they found themselves unemployed, like so many of their peers. In this part of Cameroon, research says 36% of university graduates can't find work in their chosen field. The couple felt disheartened and unsure how to earn a living – "it all felt hopeless," said Grace – until they were accepted into our partners' agricultural programme.
They learnt organic, sustainable farming practices, they were given a starter pack with tools and seeds, and now grow enough to live on, with big dreams of building their business further and employing people from the community.
With their university training, they feel well-placed to invest into their community, and build a successful business that benefits those around them, while staying in the country that they love.
Our shipment will include goods to support projects like the agricultural programme that helped Grace and Njih.
Training in skills like tailoring and farming are helping our partners' clients break out of poverty. Goods from this shipment will be used to help administer these projects, and equip them so they can help more people.
Cameroon's South-West region, where our shipment is headed, is a green, lush environment, with small rural communities, and larger towns like Buea, the region's capital (pictured above).
WANT TO BE PART OF THESE LIFE CHANGING STORIES?
Sponsor a container: We need HK$ 50,000 to send any of our waiting shipments on their way. Email us for a list of projects needing funds: partnerships@crossroads.org.hk
Give goods: We can help your company or group find projects that need your quality superseded goods. Email partnerships@crossroads.org.hk
Volunteer: We need regular volunteers in a huge variety of roles across the work, from manual labor to administration and specific skilled roles. Email volunteer@crossroads.org.hk
Reference No : S4884
Cameroon Snapshot
Population: 22.25 million
Capital: Yaoundé
Cameroon is in the west Central Africa region, with natural features including beaches, deserts, mountains, rainforests, and savannas.
Although the country as a whole has improved standards of literacy and healthcare, there is still a long way to go. Less than half of children go on to secondary education, and over 40% are involved in some kind of child labour. In rural areas, less than half the population has access to clean water and sanitation.
Source: BBC-Country profile/ UNICEF
Directions to the Good Gift Fair
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With his project 'Maria del Camino', Architect Bruce Tomb furthers his research and personal love affair with all things American. In Bruce's own words, 'Maria del Camino is a love poem to the automobile and her demise. This is a project acknowledging our relationship to the car as a tool: a social activator, altering the environment and our sense of freedom and adventure'.
As in all of Tombs work, the cultural reach of Maria del Camino is ambiguous and vast, generated and informed by local cultural and / or site specific conditions, while considering global issues… his work and research ties the specific characteristics of Americana to deeper, broader universal scope and to primitive cultural, artistic and scientific systems.
To fully understand 'Maria del Camino', it is necessary to survey the broader career and oeuvre of Tomb. Bruce was raised in Oakland, California, the older of two brothers, in the context of boat builders and the heritage of three generations of artists. It is important to note that Oakland / Berkeley and the broader Bay Area in the 60's and 70's was a haven for the beat generation in the 50's and later, the hippie movement of the 60's and 70's.
In the cultural world of San Francisco and the Bay Area of that period, musicians, poets and artists were highly inclined to question with vengeance and openly criticize the social / political stigmas and status quo rather than accept them. The Bay Area of that time (as currently) produced innovative thinkers, ranging from radical politics, economic theorists, proponents of new shelter and land use, deep holistic systems, and advocates of the demise of the industrial food production and a return to zero kilometer consumption. In this same cultural arena, during the 80's and 90's, the Bay Area offered the birthplace of the personal computer, the internet, social media and the information technology revolution. In addition, diametric yet symbiotic, the Bay Area during these periods has been a center for Aeronautics, Defense and Military development.
This history is present in the work of Bruce Tomb and Tombs work is part of this history. His hybrid approach, as such, it hard to classify, due to its rough, interdisciplinary, incomplete, and non-commercial nature.
I had the pleasure of working with Bruce in the 'Office Of Interim Architecture', (I.O.O.A) which Tomb founded with John Randolph in the late 80s. The office was located in San Francisco's South of Market area, which at the time was a renown enclave of gangs, homeless, runaways, transvetites and hookers which slowly transformed to the it's present state of hosting the hipsters and internet startups living and working there today. I.O.O.A thrived in this environment, and in a sense, absorbed some of their ideas from this rough and tumble American urban reality. More importatnly, Bruce and John were enthralled with the conceptual art of the '70's, which had a stronghold in both Los Angeles and the Bay Area. Land Art, Light / Space Art, , Minimalism, Body Art all owed a great deal to the synthesis and cross pollination of science, technology and art, surely symbiotic and sympathetic to the 'California Attitude' and approach. These influences, as well as their friendships with figures such as Turrel, Irwin, Ginsberg and with their background in Architecture, saw to it that the work of I.O.O.A could be nothing other than innovative, relevant and intriguing.
Projects active in the studio during my stay at I.O.O.A include a house for famous photographer Lewis Baltz, a photography exhibit for Richard Misrach (Desert Cantos) , a loft/apartment for graphic designer Tom Bonaro, the epic Headlands Art Center Latrine project, a handful of contemporary art galleries for Marin County Art barons, collaborations with Industrial designer/artist Jeff Sands and cross pollination with the jarring machine art performances of the Survival Research Lab.
In addition, I.O.O.A was producing amazing furniture pieces, many of which are in the collection of the Museum of Modern Art in NY.
With that premise, the Maria del Camino project is quintentestial Tomb. It strives to be non-judgmental in a Zen-like manner. The project, while observing the automobile and its far reaching system(s) with admiration and abomination, enthralled with its power, comments on the Industrial world at large. Like all of Tombs work, the focus radiates away from the object itself. Instead, it is a project which observes the mystical nature of territory, space, and the cultural and functional occupation of a population within that territory.
This project deconstructs (or partakes in the deconstruction) of a period of history, with equal doses of humor, humility and nostalgia. With Maria del Camino, modernism is admired and questioned. The Virgin Mary gazes, hollowed from the the modern metal shell, with timeless sadness as Bruce too observes ( a grinning mad scientist ) the flow of primitive dream-time sweeping us from this period into the next one, whichever it may be.