text:
\section{Introduction}
The study of graph theory, apart from its combinatorial implications, also lends to characterization of various algebraic structures. The benefit of studying these graphs is that one may find some results about the algebraic structures and vice versa. There are three major problems in this area: (1) characterization of the resulting graphs, (2) characterization of the algebraic structures with isomorphic graphs, and (3) realization of the connections between the structures and the corresponding graphs.

The first instance of such work is due to Beck \cite{beck} who introduced the idea of zero divisor graph of a commutative ring with unity. Though his key goal was to address the issue of colouring, this initiated the formal study of exposing the relationship between algebra and graph theory and at advancing applications of one to the other. Till then, a lot of research, e.g., \cite{survey2,zero-divisor-survey,anderson-livingston,graph-ideal,power1,power2,mks-ideal,badawi} has been done in connecting graph structures to various algebraic objects. Recently, intersection graphs associated with subspaces of vector spaces were studied in \cite{int-vecsp-2,int-vecsp-1}. However, as those works were a follow up of intersection graphs, the main linear algebraic flavour of characterizing the graph was missing.

Throughout this paper, vector spaces are finite dimensional over a field  $\mathbb{F}$ and $n=dim_{\mathbb{F}}(\mathbb{V})$. In this paper, we define a graph structure on a finite dimensional vector space $\mathbb{V}$ over a field $\mathbb{F}$, called Non-Zero Component Graph of $\mathbb{V}$ with respect to a basis $\{\alpha_1,\alpha_2,\ldots,\alpha_n\}$ of $\mathbb{V}$, and study the algebraic characterization of isomorphic graphs and other related concepts.

\section{Definitions and Preliminaries}
In this section, for convenience of the reader and also for later use, we recall some definitions, notations and results concerning elementary graph theory. For undefined terms and concepts the reader is referred to \cite{west-graph-book}.

By a graph $G=(V,E)$, we mean a non-empty set $V$ and a symmetric binary relation (possibly empty) $E$ on $V$. The set $V$ is called the set of vertices and $E$ is called the set of edges of $G$. Two element $u$ and $v$ in $V$ are said to be adjacent if $(u,v) \in E$. $H=(W,F)$ is called a {\it subgraph} of $G$ if $H$ itself is a graph and $\phi \neq W \subseteq V$ and $F \subseteq E$. If $V$ is finite, the graph $G$ is said to be finite, otherwise it is infinite. The open neighbourhood of a vertex $v$, denoted by $N(v)$, is the set of all vertices adjacent to $v$. A subset $I$ of $V$ is said to be {\it independent} if any two vertices in that subset are pairwise non-adjacent. The {\it independence number} of a graph is the maximum size of an independent set of vertices in $G$. A subset $D$ of $V$ is said to be {\it dominating set} if any vector in $V \setminus D$ is adjacent to at least one vertex in $D$. The {\it dominating number} of $G$, denoted by $\gamma(G)$ is the minimum size of a dominating set in $G$. A subset $D$ of $V$ is said to be a {\it minimal dominating set} if $D$ is a dominating set and no proper subset of $D$ is a dominating set. Two graphs $G=(V,E)$ and $G'=(V',E')$ are said to be {\it isomorphic} if $\exists$ a bijection $\phi: V \rightarrow V'$ such that $(u,v) \in E \mbox{ iff } (\phi(u),\phi(v)) \in E'$. A {\it path} of length $k$ in a graph is an alternating sequence of vertices and edges, $v_0,e_0,v_1,e_1,v_2,\ldots, v_{k-1},e_{k-1},v_k$, where $v_i$'s are distinct (except possibly the first and last vertices) and $e_i$ is the edge joining $v_i$ and $v_{i+1}$. We call this a path joining $v_0$ and $v_{k}$. A graph is {\it connected} if for any pair of vertices $u,v \in V,$ there exists a path joining $u$ and $v$.  The {\it distance} between two vertices $u,v \in V,~ d(u,v)$ is defined as the length of the shortest path joining $u$ and $v$, if it exists. Otherwise, $d(u,v)$ is defined as $\infty$. The {\it diameter} of a graph is defined as $diam(G)=\max_{u,v \in V}~ d(u,v)$, the largest distance between pairs of vertices of the graph, if it exists. Otherwise, $diam(G)$ is defined as $\infty$.

\section{Non-Zero Component Graph of a Vector Space}
Let $\mathbb{V}$ be a vector space over a field $\mathbb{F}$ with $\{\alpha_1,\alpha_2,\ldots,\alpha_n\}$ as a basis and $\theta$ as the null vector. Then any vector $\mathbf{a} \in \mathbb{V}$ can be expressed uniquely as a linear combination of the form $\mathbf{a}=a_1\alpha_1+a_2\alpha_2+\cdots+a_n\alpha_n$. We denote this representation of $\mathbf{a}$ as its basic representation w.r.t. $\{\alpha_1,\alpha_2,\ldots,\alpha_n\}$. We define a graph $\Gamma(\mathbb{V}_\alpha)=(V,E)$ (or simply $\Gamma(\mathbb{V})$) with respect to $\{\alpha_1,\alpha_2,\ldots,\alpha_n\}$ as follows: $V=\mathbb{V}\setminus \{\theta\}$ and for $\mathbf{a},\mathbf{b} \in V$, $\mathbf{a} \sim \mathbf{b}$ or $(\mathbf{a},\mathbf{b}) \in E$ if $\mathbf{a}$ and $\mathbf{b}$ shares at least one $\alpha_i$ with non-zero coefficient in their basic representation, i.e., there exists at least one $\alpha_i$ along which both $\mathbf{a}$ and $\mathbf{b}$ have non-zero components. Unless otherwise mentioned, we take the basis on which the graph is constructed as $\{\alpha_1,\alpha_2,\ldots,\alpha_n\}$.

{\theorem \label{basis-independent-theorem} Let $\mathbb{V}$ be a vector space over a field $\mathbb{F}$. Let $\Gamma(\mathbb{V}_\alpha)$ and $\Gamma(\mathbb{V}_\beta)$ be the graphs associated with $\mathbb{V}$ w.r.t two bases $\{\alpha_1,\alpha_2,\ldots,\alpha_n\}$ and $\{\beta_1,\beta_2,\ldots,\beta_n\}$ of $\mathbb{V}$. Then $\Gamma(\mathbb{V}_\alpha)$ and $\Gamma(\mathbb{V}_\beta)$ are graph isomorphic.}\\
\noindent {\bf Proof: } Since, $\{\alpha_1,\alpha_2,\ldots,\alpha_n\}$ and $\{\beta_1,\beta_2,\ldots,\beta_n\}$ are two bases of $\mathbb{V}$, $\exists$ a vector space isomorphism $T: \mathbb{V} \rightarrow \mathbb{V}$ such that $T(\alpha_i)=\beta_i, \forall i \in \{1,2,\ldots,n\}$.

We show that the restriction of $T$ on non-null vectors of $\mathbb{V}$, $\mathbf{T}:\Gamma(\mathbb{V}_\alpha) \rightarrow \Gamma(\mathbb{V}_\beta)$ is a graph isomorphism. Clearly, $\mathbf{T}$ is a bijection. Now, let $\mathbf{a}=a_1\alpha_1+a_2\alpha_2+\cdots+a_n\alpha_n; \mathbf{b}=b_1\alpha_1+b_2\alpha_2+\cdots+b_n\alpha_n$ with $\mathbf{a}\sim \mathbf{b}$ in $\Gamma(\mathbb{V}_\alpha)$. Then, $\exists~ i \in \{1,2,\ldots,n\}$ such that $a_i\neq 0,b_i\neq 0$. Also, $\mathbf{T}(\mathbf{a})=a_1\beta_1+a_2\beta_2+\cdots+a_n\beta_n$ and $\mathbf{T}(\mathbf{b})=b_1\beta_1+b_2\beta_2+\cdots+b_n\beta_n$. Since, $a_i\neq 0,b_i\neq 0$, therefore
$\mathbf{T}(\mathbf{a}) \sim \mathbf{T}(\mathbf{b})$ in $\Gamma(\mathbb{V}_\beta)$.

Similarly, it can be shown that if $\mathbf{a}$ and $\mathbf{b}$ are not adjacent in $\Gamma(\mathbb{V}_\alpha)$, then $\mathbf{T}(\mathbf{a})$ and $\mathbf{T}(\mathbf{b})$ are not adjacent in $\Gamma(\mathbb{V}_\beta)$. \hfill \rule{2mm}{2mm}

{\remark The above theorem shows that the graph properties associated of $\Gamma$ does not depend on the choice of the basis $\{\alpha_1,\alpha_2,\ldots,\alpha_n\}$. However, two vertices may be adjacent with respect to one basis but non-adjacent to some other basis as shown in the following example: Let $\mathbb{V}=\mathbb{R}^2,\mathbb{F}=\mathbb{R}$ with two bases $\{\alpha_1=(1,0),\alpha_2=(0,1)\}$ and $\{\beta_1=(1,1),\beta_2=(-1,1)\}$.  Consider $\mathbf{a}=(1,1)$ and $\mathbf{b}=(-1,1)$. Clearly $\mathbf{a}\sim \mathbf{b}$ in $\Gamma(\mathbb{V}_\alpha)$, but $\mathbf{a}\not\sim \mathbf{b}$ in $\Gamma(\mathbb{V}_\beta)$.}

\section{Basic Properties of $\Gamma(\mathbb{V})$}
In this section, we investigate some of the basic properties like connectedness, completeness, independence number, domination number of $\Gamma(\mathbb{V})$.
{\theorem $\Gamma(\mathbb{V}_\alpha)$ is connected and $diam(\Gamma)=2$.}\\
\noindent {\bf Proof: } Let $\mathbf{a},\mathbf{b} \in V$. If $\mathbf{a}$ and $\mathbf{b}$ are adjacent, then $d(\mathbf{a},\mathbf{b})=1$. If $\mathbf{a}$ and $\mathbf{b}$ are not adjacent, since $\mathbf{a},\mathbf{b} \neq \theta$, $\exists \alpha_i, \alpha_j$ which have non-zero coefficient in the basic representation of $\mathbf{a}$ and $\mathbf{b}$ respectively. Moreover, as $\mathbf{a}$ and $\mathbf{b}$ are not adjacent, $\alpha_i \neq \alpha_j$. Consider $\mathbf{c}=\alpha_i + \alpha_j$. Then, $\mathbf{a}\sim \mathbf{c}$ and $\mathbf{b} \sim \mathbf{c}$ and hence $d(\mathbf{a},\mathbf{b})=2$. Thus, $\Gamma$ is connected and $diam(\Gamma)=2$.\hfill \rule{2mm}{2mm}

{\theorem $\Gamma(\mathbb{V})$ is complete if and only if $\mathbb{V}$ is one-dimensional.}\\
\noindent {\bf Proof: } Let $\Gamma(\mathbb{V})$ be complete. If possible, let $dim(\mathbb{V})>1$. Therefore, $\exists~ \alpha_1,\alpha_2 \in \mathbb{V}$ which is a basis or can be extended to a basis of $\mathbb{V}$. Then $\alpha_1$ and $\alpha_2$ are two non-adjacent vertices in $\Gamma(\mathbb{V})$, a contradiction. Therefore, $dim(\mathbb{V})=1$.

Conversely, let $\mathbb{V}$ be one-dimensional vector space generated by $\alpha$. Then any two non-null vectors $\mathbf{a}$ and $\mathbf{b}$ can be expressed as $c_1\alpha$ and $c_2\alpha$ respectively for non-zero $c_1,c_2 \in \mathbb{F}$ and hence $\mathbf{a}\sim \mathbf{b}$, thereby rendering the graph complete. \hfill \rule{2mm}{2mm}

{\theorem The domination number of $\Gamma(\mathbb{V}_\alpha)$ is 1.}\\
\noindent {\bf Proof: } The proof follows from the simple observation that $\alpha_1+\alpha_2+\cdots+\alpha_n$ is adjacent to all the vertices of $\Gamma(\mathbb{V}_\alpha)$. \hfill \rule{2mm}{2mm}

{\remark The set $\{\alpha_1,\alpha_2,\ldots,\alpha_n\}$ is a minimal dominating set of $\Gamma(\mathbb{V}_\alpha)$. Now, the question arises what is the maximum possible number of vertices in a minimal dominating set. The answer is given as $n$ in the next theorem.}

{\theorem If $D=\{\beta_1,\beta_2,\ldots,\beta_l\}$ is a minimal dominating set of $\Gamma(\mathbb{V}_\alpha)$, then $l \leq n$, i.e., the maximum cardinality of a minimal dominating set is $n$.}\\
\noindent {\bf Proof: } Since $D$ is a minimal dominating set, $\forall i \in \{1,2,\ldots,l\}, D_i=D \setminus \{\beta_i\}$ is not a dominating set. Therefore, $\forall i \in \{1,2,\ldots,l\}, \exists~ \gamma_i \in \Gamma(\mathbb{V}_\alpha)$ which is not adjacent to any element of $D_i$ but adjacent to $\beta_i$. Since, $\gamma_i \neq \theta, \exists~ \alpha_{t_i}$ such that $\gamma_i$ has non-zero component along $\alpha_{t_i}$.

Now, as $\gamma_i$ is not adjacent to any element of $D_i$, so is $\alpha_{t_i}$. Thus, $\forall i \in \{1,2,\ldots,l\}, \exists~ \alpha_{t_i}$ such that $\alpha_{t_i} \sim \beta_i$, but $\alpha_{t_i} \not\sim \beta_k, \forall k\neq i$.

Claim: $i \neq j \Rightarrow \alpha_{t_i} \neq \alpha_{t_j}$.
Let, if possible, $i \neq j$ but $\alpha_{t_i} = \alpha_{t_j}$. As $\beta_i \sim \alpha_{t_i}$ and $\alpha_{t_i}=\alpha_{t_j}$, therefore $\beta_i \sim \alpha_{t_j}$. However, it contradicts that $\alpha_{t_i} \not\sim \beta_k, \forall k\neq i$. Hence, the claim.

As $\alpha_{t_1},\alpha_{t_2},\ldots,\alpha_{t_l}$ are all distinct, it follows that $l\leq n$. \hfill \rule{2mm}{2mm}

{\theorem \label{independence-number-theorem} The independence number of $\Gamma$ is $dim(\mathbb{V})$.}\\
\noindent {\bf Proof: } Since $\{\alpha_1,\alpha_2,\ldots,\alpha_n\}$ is an independent set in $\Gamma$, the independence number of $\Gamma \geq n=dim(\mathbb{V})$. Now, we show that any independent set can not have more than $n$ elements. Let, if possible, $\{\beta_1,\beta_2,\ldots,\beta_l\}$ be an independent set in $\Gamma$, where $l>n$. Since, $\beta_i \neq \theta, \forall i \in \{1,2,\ldots,l\}$, $\beta_i$ has at least one non-zero component along some $\alpha_{t_i}$, where $t_i \in \{1,2,\ldots,n\}$.\\
{\bf Claim:} $i \neq j \Rightarrow t_i \neq t_j$.\\
If $\exists i \neq j$ with $t_i=t_j=t$(say), then $\beta_i$ and $\beta_j$ has non-zero component along $\alpha_t$. This imply that $\beta_i \sim \beta_j$, a contradiction to the independence of $\beta_i$ and $\beta_j$. Hence, the claim is valid.

However, as there are exactly $n$ distinct $\alpha_i$'s, $l \leq n$, which is a contradiction. Thus, $\Gamma=n=dim(\mathbb{V})$.\hfill \rule{2mm}{2mm}

{\lemma \label{ind-imply-lin-ind} Let $I$ be an independent set in $\Gamma(\mathbb{V}_\alpha)$, then $I$ is a linearly independent subset of $\mathbb{V}$.}\\
\noindent {\bf Proof: } Let $I=\{\beta_1,\beta_2,\ldots,\beta_k\}$ be an independent set in $\Gamma$. By Theorem \ref{independence-number-theorem}, $k \leq n$. If possible, let $I$ be linearly dependent in $\mathbb{V}$. Then $\exists~ i \in \{1,2,\dots,k\}$ such that $\beta_i$ can be expressed as a linear combination of $\beta_1,\beta_2,\ldots,\beta_{i-1},\beta_{i+1},\ldots,\beta_k$, i.e.,
\begin{equation}\label{ind-set-equation}
\beta_i=c_1\beta_1+c_2\beta_2+\cdots+c_{i-1}\beta_{i-1}+c_{i+1}\beta_{i+1}+\cdots+
c_k\beta_k=\sum^{k}_{s=1,s\neq i}c_s\beta_s
\end{equation}
Now, since $\{\alpha_1,\alpha_2,\ldots,\alpha_n\}$ is a basis of $\mathbb{V}$, let $\beta_j=\sum^{n}_{t=1} d_{tj}\alpha_t$ for $j=1,2,\ldots,i-1,i+1,\ldots k$. Thus, the expression of $\beta_i$ becomes
$$\beta_i=\sum^{k}_{s=1,s\neq i}c_s\sum^{n}_{t=1} d_{tj}\alpha_t=\sum^{n}_{t=1}d_t\alpha_t
\mbox{ for some scalars }d_t \in \mathbb{F}.$$
Since, $\beta_i \neq \theta$. Thus, $\beta_i$ has a non-zero component along some $\alpha_{t^*}$.
Also, $\exists$ some $\beta_j, j\neq i$ such that $\beta_j$ has a non-zero component along $\alpha_{t^*}$. (as otherwise, if all $\beta_j,j\neq i$ has zero component along $\alpha_{t^*}$, then by Equation \ref{ind-set-equation}, $\beta_i$ has zero component along $\alpha_{t^*}$, which is not the case.)

Thus, $\beta_j \sim \beta_i$, a contradiction to the independence of $I$. Thus, $I$ is a linearly independent set in $\mathbb{V}$.\hfill \rule{2mm}{2mm}

{\remark Converse of Lemma \ref{ind-imply-lin-ind} is not true, in general. Consider a vector space $\mathbb{V}$, its basis $\{\alpha_1,\alpha_2,\alpha_3,\ldots,\alpha_n\}$ and the set $L=\{\alpha_1+\alpha_2,\alpha_2,\alpha_3,\ldots,\alpha_n\}$. Clearly $L$ is linearly independent in $\mathbb{V}$, but it is not an independent set in $\Gamma(\mathbb{V}_\alpha)$ as $\alpha_1+\alpha_2 \sim \alpha_2$.}

\section{Non-Zero Component Graph and Graph Isomorphisms}
In this section, we study the inter-relationship between the isomorphism of two vector spaces with the isomorphism of the two corresponding graphs. It is proved that two vector spaces are isomorphic if and only if their graphs are isomorphic. However, it is noted that a vector space isomorphism is a graph isomorphism (ignoring the null vector $\theta$), but a graph isomorphism may not be vector space isomorphism as shown in Example \ref{graph-iso-but-not-vecsp-iso}.

{\lemma \label{graph-isomorphic-implies-equal-dimension} Let $\mathbb{V}$ and $\mathbb{W}$ be two finite dimensional vector spaces over a field $\mathbb{F}$. If $\Gamma(\mathbb{V}_\alpha)$ and $\Gamma(\mathbb{W}_\beta)$ are isomorphic as graphs with respect to some basis $\{\alpha_1,\alpha_2,\ldots,\alpha_n\}$ and $\{\beta_1,\beta_2,\ldots,\beta_k\}$ of $\mathbb{V}$ and $\mathbb{W}$ respectively, then $dim(\mathbb{V})=dim(\mathbb{W})$, i.e., $n=k$.}\\
\noindent {\bf Proof: } Let $\varphi:\Gamma(\mathbb{V}_\alpha)\rightarrow \Gamma(\mathbb{W}_\beta)$ be a graph isomorphism. Since, $\alpha_1, \alpha_2,\ldots,\alpha_n$ is an independent set in $\Gamma(\mathbb{V}_\alpha)$, therefore $\varphi(\alpha_1),\varphi(\alpha_2),\ldots,\varphi(\alpha_n)$ is an independent set in $\Gamma(\mathbb{W}_\beta)$. Now, as in Theorem \ref{independence-number-theorem} it has been shown that cardinality of an independent set is less than or equal to the dimension of the vector space, it follows that $n \leq k$.

Again, $\varphi^{-1}:\Gamma(\mathbb{W}_\beta)\rightarrow \Gamma(\mathbb{V}_\alpha)$ is also a  graph isomorphism. Then, by similar arguments, it follows that $k \leq n$. Hence the lemma. \hfill \rule{2mm}{2mm}

{\theorem Let $\mathbb{V}$ and $\mathbb{W}$ be two finite dimensional vector spaces over a field $\mathbb{F}$. If $\mathbb{V}$ and $\mathbb{W}$ are isomorphic as vector spaces, then for any basis $\{\alpha_1,\alpha_2,\ldots,\alpha_n\}$ and $\{\beta_1,\beta_2,\ldots,\beta_n\}$ of $\mathbb{V}$ and $\mathbb{W}$ respectively, $\Gamma(\mathbb{V}_\alpha)$ and $\Gamma(\mathbb{W}_\beta)$ are isomorphic as graphs.}\\
\noindent {\bf Proof: } Let $\varphi: \mathbb{V}\rightarrow \mathbb{W}$ be a vector space isomorphism. Then $\{\varphi(\alpha_1),\varphi(\alpha_2),\ldots,\varphi(\alpha_n)\}$ is a basis of $\mathbb{W}$.
Consider the restriction $\overline{\varphi}$ of $\varphi$ on the non-null vectors of $\mathbb{V}$, i.e., $\overline{\varphi}: \Gamma(\mathbb{V}_\alpha) \rightarrow \Gamma(\mathbb{W}_{\varphi(\alpha)})$ given by $$\overline{\varphi}(a_1\alpha_1+a_2\alpha_2+\cdots+a_n\alpha_n)=a_1\varphi(\alpha_1)+a_2\varphi(\alpha_2)+\cdots
+a_n\varphi(\alpha_n)$$ where $a_i \in \mathbb{F}$ and $(a_1,a_2,\ldots,a_n)\neq(0,0,\ldots,0)$. Clearly, $\overline{\varphi}$ is a bijection. Now,\\ $\mathbf{a}\sim \mathbf{b} \mbox{ in }\Gamma(\mathbb{V}_\alpha) \Leftrightarrow \exists~ i \mbox{ such that }a_i \neq 0, b_i \neq 0 \Leftrightarrow \overline{\varphi}(\mathbf{a})\sim \overline{\varphi}(\mathbf{b})$.

Therefore, $\Gamma(\mathbb{V}_\alpha)$ and $\Gamma(\mathbb{W}_{\varphi(\alpha)})$ are graph isomorphic. Now, by Theorem \ref{basis-independent-theorem}, $\Gamma(\mathbb{W}_{\varphi(\alpha)})$ and $\Gamma(\mathbb{W}_{\beta})$ are isomorphic as graphs. Thus, $\Gamma(\mathbb{V}_\alpha)$ and $\Gamma(\mathbb{W}_{\beta})$ are isomorphic as graphs. \hfill \rule{2mm}{2mm}

{\theorem Let $\mathbb{V}$ and $\mathbb{W}$ be two finite dimensional vector spaces over a field $\mathbb{F}$. If for any basis $\{\alpha_1,\alpha_2,\ldots,$ $\alpha_n\}$ and $\{\beta_1,\beta_2,\ldots,\beta_k\}$ of $\mathbb{V}$ and $\mathbb{W}$ respectively, $\Gamma(\mathbb{V}_\alpha)$ and $\Gamma(\mathbb{W}_\beta)$ are isomorphic as graphs, then $\mathbb{V}$ and $\mathbb{W}$ are isomorphic as vector spaces.}\\
\noindent {\bf Proof: } Since $\Gamma(\mathbb{V}_\alpha)$ and $\Gamma(\mathbb{W}_\beta)$ are isomorphic as graphs, by Lemma \ref{graph-isomorphic-implies-equal-dimension}, $n=k$. Now, as $\mathbb{V}$ and $\mathbb{W}$ are finite dimensional vector spaces having same dimension over the same field $\mathbb{F}$, $\mathbb{V}$ and $\mathbb{W}$ are isomorphic as vector spaces. \hfill \rule{2mm}{2mm}

{\example \label{graph-iso-but-not-vecsp-iso} Consider an one-dimensional vector space $\mathbb{V}$ over $\mathbb{Z}_5$ generated by $\alpha$ (say). Then $\Gamma(\mathbb{V}_\alpha)$ is a complete graph of 4 vertices with $V=\{\alpha,2\alpha,3\alpha,4\alpha\}$. Consider the map $T:\Gamma(\mathbb{V}_\alpha) \rightarrow \Gamma(\mathbb{V}_\alpha)$ given by $T(\alpha)=2\alpha,T(2\alpha)=\alpha,T(3\alpha)=4\alpha,T(4\alpha)=3\alpha$. Clearly, $T$ is a graph isomorphism, but as $T(2\alpha)=\alpha\neq 4\alpha=2(2\alpha)=2T(\alpha)$, $T$ is not linear.}

\section{Automorphisms of Non-Zero Component Graph}
In this section, we investigate the form of automorphisms of $\Gamma(\mathbb{V}_\alpha)$. It is shown that an automorphism maps $\{\alpha_1,\alpha_2,\ldots,\alpha_n\}$ to a basis of $\mathbb{V}$ of a special type, namely non-zero scalar multiples of a permutation of $\alpha_i$'s.

{\theorem \label{main-auto-theorem} Let $\varphi: \Gamma(\mathbb{V}_\alpha) \rightarrow \Gamma(\mathbb{V}_\alpha)$ be a graph automorphism. Then, $\varphi$ maps $\{\alpha_1,\alpha_2,\ldots,\alpha_n\}$ to another basis $\{\beta_1,\beta_2,\ldots,\beta_n\}$ such that there exists $\sigma \in S_n$, where each $\beta_i$ is of the form $c_i \alpha_{\sigma(i)}$ and each $c_i$'s are non-zero.}\\
\noindent {\bf Proof: } Let $\varphi: \Gamma(\mathbb{V}_\alpha) \rightarrow \Gamma(\mathbb{V}_\alpha)$ be a graph automorphism. Since, $\{\alpha_1,\alpha_2,\ldots,\alpha_n\}$ is an independent set of vertices in $\Gamma(\mathbb{V}_\alpha)$, therefore $\beta_i=\varphi(\alpha_i): i=1,2,\ldots,n$ is also an independent set of vertices in $\Gamma(\mathbb{V}_\alpha)$. Let $$\begin{array}{c}
\varphi(\alpha_1)=\beta_1=c_{11}\alpha_1+c_{12}\alpha_2+\cdots+c_{1n}\alpha_n\\
\varphi(\alpha_2)=\beta_2=c_{21}\alpha_1+c_{22}\alpha_2+\cdots+c_{2n}\alpha_n \\ \cdots \cdots \cdots \cdots \cdots \cdots \cdots \cdots \cdots \cdots \cdots \cdots \\
\varphi(\alpha_n)=\beta_n=c_{n1}\alpha_1+c_{n2}\alpha_2+\cdots+c_{nn}\alpha_n
\end{array} $$
Since, $\beta_1 \neq \theta$ i.e., $\beta_1$ is not an isolated vertex, $\exists~ j_1 \in \{1,2,\ldots,n\}$ such that $c_{1j_1}\neq 0$. Therefore, $c_{ij_1}= 0, \forall i \neq 1$ (as $\beta_i$ is not adjacent to $\beta_1, \forall i \neq 1$.) Similarly, for $\beta_2$, $\exists~ j_2 \in \{1,2,\ldots,n\}$ such that $c_{2j_2}\neq 0$ and $c_{ij_2}= 0, \forall i \neq 2$. Moreover, $j_1 \neq j_2$ as $\beta_1$ and $\beta_2$ are not adjacent. Continuing in this manner, for $\beta_n$, $\exists~ j_n \in \{1,2,\ldots,n\}$ such that $c_{nj_n}\neq 0$ and $c_{ij_n}= 0, \forall i \neq n$ and $j_1,j_2,\ldots,j_n$ are all distinct numbers from $\{1,2,\ldots,n\}$.

Thus, $c_{kj_l}=0$ for $k \neq l$ and $c_{kj_k}\neq 0$, where $k,l \in \{1,2,\ldots,n\}$ and $j_1,j_2,\ldots,j_n$ is a permutation on $\{1,2,\ldots,n\}$. Set $\sigma=\left( \begin{array}{cccc}
1 & 2 & \cdots & n\\
j_1 & j_2 & \cdots & j_n
\end{array}\right)$. Therefore, $$\beta_i=c_{ij_i}\alpha_{j_i}=c_{ij_i}\alpha_{\sigma(i)},\mbox{ with }c_{ij_i}\neq 0,~~~~	 \forall i \in \{1,2,\ldots,n\}.$$ As $\{\alpha_1,\alpha_2,\ldots,\alpha_n\}$ is a basis, $\{\beta_1,\beta_2,\ldots,\beta_n\}$ is also a basis and hence the theorem. \hfill \rule{2mm}{2mm}

{\remark Although $\varphi$ maps the basis $\{\alpha_1,\alpha_2,\ldots,\alpha_n\}$ to another basis $\{\beta_1,\beta_2,\ldots,\beta_n\}$, it may not be a vector space isomorphism. It is because linearity of $\varphi$ is not guaranteed as shown in Example \ref{graph-iso-but-not-vecsp-iso}. However, the following result is true.}

{\theorem \label{special-auto-theorem} Let $\varphi$ be a graph automorphism, which maps $\alpha_i\mapsto c_{ij_i}\alpha_{\sigma(i)}$ for some $\sigma \in S_n$. Then, if $c \neq 0$, $\varphi(c\alpha_i)=d\alpha_{\sigma(i)}$ for some non-zero $d$. More generally, $\forall k \in \{1,2,\ldots,n\}$ if $c_1\cdot  c_2 \cdots c_k \neq 0$, then $$\varphi(c_1\alpha_{i_1}+c_2 \alpha_{i_2}+\cdots+c_k \alpha_{i_k})=d_1\alpha_{\sigma(i_1)}+d_2\alpha_{\sigma(i_2)}+\cdots+d_k \alpha_{\sigma(i_k)} $$ for some $d_i$'s with $d_1\cdot d_2\cdots d_k \neq 0$.}\\
\noindent {\bf Proof: } Since, $c\alpha_i \sim \alpha_i$, therefore $\varphi(c\alpha_i)\sim \varphi(\alpha_i)$ i.e., $\varphi(c\alpha_i)\sim c_{ij_i}\alpha_{\sigma(i)}$. Thus, $\varphi(c\alpha_i)$ has $\alpha_{\sigma(i)}$ as a non-zero component. If possible, let $\varphi(c\alpha_i)$ has a non-zero component along some other $\alpha_{\sigma(j)}$ for some $j\neq i$. Then $\varphi(c\alpha_i) \sim \alpha_{\sigma(j)}$ i.e., $\varphi(c\alpha_i) \sim \varphi(\alpha_j)$, which in turn implies $c\alpha_i \sim \alpha_j$ for $j\neq i$, a contradiction. Therefore, $\varphi(c\alpha_i)=d\alpha_{\sigma(i)}$ for some non-zero $d$.

For the general case, since
 $$c_1\alpha_{i_1}+c_2 \alpha_{i_2}+\cdots+c_k \alpha_{i_k} \sim \alpha_{i_1}$$
$$\Rightarrow \varphi(c_1\alpha_{i_1}+c_2 \alpha_{i_2}+\cdots+c_k \alpha_{i_k}) \sim \varphi(\alpha_{i_1})=c\alpha_{\sigma(i_1)} \mbox{ for some non-zero }c$$
$$\Rightarrow \varphi(c_1\alpha_{i_1}+c_2 \alpha_{i_2}+\cdots+c_k \alpha_{i_k})\mbox{ has a non-zero component along }\alpha_{\sigma(i_1)}$$
$$\Rightarrow \varphi(c_1\alpha_{i_1}+c_2 \alpha_{i_2}+\cdots+c_k \alpha_{i_k}) \sim \alpha_{\sigma(i_1)}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~$$
Similarly,
$$\varphi(c_1\alpha_{i_1}+c_2 \alpha_{i_2}+\cdots+c_k \alpha_{i_k}) \sim \alpha_{\sigma(i_2)},\ldots,\varphi(c_1\alpha_{i_1}+c_2 \alpha_{i_2}+\cdots+c_k \alpha_{i_k}) \sim \alpha_{\sigma(i_k)}$$
Therefore, $\varphi(c_1\alpha_{i_1}+c_2 \alpha_{i_2}+\cdots+c_k \alpha_{i_k})=d_1\alpha_{\sigma(i_1)}+d_2\alpha_{\sigma(i_2)}+\cdots+d_k \alpha_{\sigma(i_k)} $ for some $d_i$'s with $d_1\cdot d_2\cdots d_k \neq 0$. \hfill \rule{2mm}{2mm}

{\corollary $\Gamma(\mathbb{V}_\alpha)$ is not vertex transitive if $dim(\mathbb{V})>1$.}\\
\noindent {\bf Proof: } Since $dim(\mathbb{V})\geq 2$, by Theorem \ref{special-auto-theorem}, there does not exist any automorphism which maps $\alpha_1$ to $\alpha_1+\alpha_2$. Hence, the result. \hfill \rule{2mm}{2mm}

\section{The Case of Finite Fields}
In this section, we find the degree of each vertices of $\Gamma(\mathbb{V})$ if the base field is finite. For more results, in the case of finite fields, please refer to \cite{angsu-jaa}.
{\remark \label{nbd-remark} The set of vertices adjacent to $\alpha_{i_1}+ \alpha_{i_2}+\cdots+ \alpha_{i_k}$ is same as the set of vertices adjacent to $c_1\alpha_{i_1}+c_2 \alpha_{i_2}+\cdots+c_k \alpha_{i_k}$ i.e., $N(\alpha_{i_1}+ \alpha_{i_2}+\cdots+ \alpha_{i_k})=N(c_1\alpha_{i_1}+c_2 \alpha_{i_2}+\cdots+c_k \alpha_{i_k})$ for $c_1 c_2 \cdots c_k \neq 0$.}

{\theorem Let $\mathbb{V}$ be a vector space over a finite field $\mathbb{F}$ with $q$ elements and $\Gamma$ be its associated graph with respect to a basis $\{\alpha_1,\alpha_2,\ldots,\alpha_n\}$. Then, the degree of the vertex $c_1\alpha_{i_1}+c_2 \alpha_{i_2}+\cdots+c_k \alpha_{i_k}$, where $c_1 c_2 \cdots c_k \neq 0$, is $(q^k -1)q^{n-k}-1$.}\\
\noindent {\bf Proof: } The number of vertices with $\alpha_{i_1}$ as non-zero component is $(q-1)q^{n-1}$ (including $\alpha_{i_1}$ itself). Therefore, $deg(\alpha_{i_1})=(q-1)q^{n-1}-1$.

The number of vertices with $\alpha_{i_1}$ or $\alpha_{i_2}$ as non-zero component is equal to
number of vertices with $\alpha_{i_1}$ as non-zero component $+$ number of vertices with $\alpha_{i_2}$ as non-zero component $-$ number of vertices with both $\alpha_{i_1}$ and $\alpha_{i_2}$ as non-zero component
$$=(q-1)q^{n-1}+(q-1)q^{n-1}-(q-1)^2 q^{n-2}=(q^2-1)q^{n-2}.$$
As this count includes the vertex $\alpha_{i_1}+\alpha_{i_2}$, $deg(\alpha_{i_1}+\alpha_{i_2})=(q^2-1)q^{n-2} - 1$.

Similarly, for finding the degree of $\alpha_{i_1}+\alpha_{i_2}+\alpha_{i_3}$, the number of vertices with $\alpha_{i_1}$ or $\alpha_{i_2}$ or $\alpha_{i_3}$ as non-zero component is equal to $$[(q-1)q^{n-1}+(q-1)q^{n-1}+(q-1)q^{n-1}]-[(q-1)^2 q^{n-2}+(q-1)^2 q^{n-2}+(q-1)^2 q^{n-2}]+(q-1)^3 q^{n-3}$$
$$=(q^3-1) q^{n-3}, \mbox{ and hence }deg(\alpha_{i_1}+\alpha_{i_2}+\alpha_{i_3})=(q^3-1) q^{n-3}-1.$$
Proceeding in this way, we get $$deg(\alpha_{i_1}+ \alpha_{i_2}+\cdots+ \alpha_{i_k})=(q^k -1)q^{n-k}-1.$$
Now, from Remark \ref{nbd-remark}, it follows that $$deg(c_1 \alpha_{i_1}+ c_2 \alpha_{i_2}+\cdots+c_k \alpha_{i_k})=(q^k -1)q^{n-k}-1.$$ \hfill \rule{2mm}{2mm}

\section{Conclusion}
In this paper, we represent a finite dimensional vector space as a graph and study various inter-relationships among $\Gamma(\mathbb{V})$ as a graph and $\mathbb{V}$ as a vector space. The main goal of these discussions was to study the nature of the automorphisms and establish the equivalence between the corresponding graph and vector space isomorphisms. Apart from this, we also study basic properties of completeness, connectedness, domination and independence number. As a topic of further research, one can look into the structure of maximal cliques and chromatic number of such graphs.
\section*{Acknowledgement}
The author is thankful to Bedanta Bose of University of Calcutta, Kolkata for bringing the manuscript in the final form. A special thanks goes to Dr. Usman Ali of Bahauddin Zakariya University, Pakistan for pointing out a mistake in an earlier version of the paper. The research is partially funded by NBHM Research Project Grant, (Sanction No. 2/48(10)/2013/ NBHM(R.P.)/R\&D II/695), Govt. of India.

redpajama_set_name: RedPajamaArXiv


Danshui was the largest port in Taiwan. Historically occupied by Western countries such as the Netherlands and Britain, many historical monuments have now been left. Now the Danshui is leisurely harbor town, surrounding with the reading from high school. The golden sunset Fisherman's Wharf, is the most beautiful Danshui can recall in everyone mind.
Danshui best travel time in spring and autumn, especially in October to November, when the temperature is about 22 ℃ ~ 24 ℃, less rainy days, comfortable and pleasant. May to September for the summer, hot and humid. December to February for the winter, the temperature will not be too low, but wet and rainy, slightly cold.
Taitung is the third largest county in Taiwan. Among the many counties and cities in Taiwan, Taitung can be said to be the home base for diverse ethnic groups. Many Aboriginal cultural museums and prehistoric relics pavilions are the biggest bright spots in Taitung. Taitung near the mountain, with stunning natural scenery and the endless rice fields scenery, paradise-like island style, clear beach, and also the famous hot spring whichMake Taitung one of the most diversified tourist destinations in Taiwan.
The best time to travel to Taitung is in spring and autumn, especially in October-November, when the temperature at 22 ℃ -24 ℃, less rainy weather, comfortable and pleasant. May to September for the summer, hot and humid. December to February for the winter, although the temperature will not be too low, but humid and rainy.
Beitou, located to the north of Taipei City, is a hot spring base in Taipei where warm sulfur springs flow from. The Millennium Hot Spring is one of the main attractions here. Attraction such as Beitou Hot Spring Museum, Taipei City Library, open-air hot-spring baths and dugout maze are all located in the park. One of the "Millennium Hot Springs", next to the Hot Springs Museum, is an open, public open-air bath where many local seniors come to the hot springs. Beitou Park surrounding the distribution of large and small spa hotel, from the public naked hot spring area to the luxurious private hot spring area for your selection to experience a variety and excellent hot springs experience during your vacation.
The best time to visit is similar to Taipei, with two seasons of Spring and Autumn (March-May, October-November) as appropriate. However, Beitou is a hot spring area, it is recommended that the winter (December ~ February) will be more comfortable while enjoying the hot spring.


Just over 70% of cannabis users are also drinkers, according to the analytics firm's research.
Lukas said that drinks firms should think carefully about when and why their products are consumed, as these could well be opportunities for cannabis manufacturers to steal the limelight.
The change wouldn't be drastic, Lukas added, and may even amount to consumers substituting their evening drink for a vape pen "a couple of times a month," but small alterations in consumer behaviour soon add up to a big shift in spending.


text:
Effect of Magnetic Field Dependent Viscosity on Darcy-Brinkman Ferroconvection with Second Sound
Venkatesh Vidya Shree Department of Mathematics, School of Engineering, Presidency University, Bangalore, India https://orcid.org/0000-0003-1554-8258
Chandrappa Rudresha Department of Mathematics, School of Engineering, Presidency University, Bangalore, India https://orcid.org/0000-0002-0958-4220
Chandrashekar Balaji Department of Mathematics, School of Engineering, Presidency University, Bangalore, India https://orcid.org/0000-0002-3832-935X
Sokalingam Maruthamanikandan Department of Mathematics, School of Engineering, Presidency University, Bangalore, India https://orcid.org/0000-0001-9811-0117
Keywords: Ferrofluid, MFD viscosity, Porous Media, Magnetic Field, Second Sound
The problem of buoyancy-driven convection in a ferromagnetic fluid saturated porous medium with the Maxwell-Cattaneo law and MFD viscosity is investigated by the method of small perturbation. The fluid motion is described using the Brinkman model. It is assumed that the fluid and solid matrices are in local thermal equilibrium. For simplified boundary conditions, the eigenvalue problem is solved exactly, and closed form solutions for stationary instability are obtained. Magnetic forces and second sound were found to enhance the beginning of Brinkman ferroconvection. However, ferroconvection is hampered when the porous parameters are increased. The results show that MFD viscosity inhibits the beginning of Darcy-Brinkman ferroconvection and that MFD viscosity stabilizing effect is decreased when the magnetic Rayleigh number is significant. Furthermore, it is demonstrated that oscillatory instability arises before stationary instability, assuming that the Prandtl and Cattaneo numbers are sufficiently large.
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P.J. Stiles, and M. Kagan, "Thermoconvective instability of a horizontal layer of ferrofluid in a strong vertical magnetic field", Journal of Magnetism and Magnetic Materials, 85, 196 (1990). https://doi.org/10.1016/0304-8853(90)90050-Z
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R. Sekar, G. Vaidyanathan, and A. Ramanathan, "Effect of rotation on ferro thermohaline convection", Journal of Magnetism and Magnetic Materials, 218(2), 266 (2000). https://doi.org/10.1016/S0304-8853(00)00358-9
E.R. Lapwood, "Convection of a fluid in a porous medium", Math. Proc. Cambridge Philos. Soc. 44(4), 508 (1948). https://doi.org/10.1017/S030500410002452X
R.A. Wooding, "Rayleigh instability of a thermal boundary layer in flow through a porous medium", J. Fluid Mech. 9(2), 183 (1960). https://doi.org/10.1017/S0022112060001031
K. Kordylewski, "Convection effect on thermal ignition in porous medium", Chem. Eng. Sci. 39(3), 610 (1983).
G. Vaidyanathan, A. Ramanathan, and S. Maruthamanikandan, "Effect of magnetic field dependent viscosity on ferroconvection in sparsely distributed porous medium", Indian Journal of Pure and Applied Physics, 40, 166 (2001).
A. Ramanathan, and G. Suresh, "Effect of magnetic field dependent viscosity and anisotropy of porous medium on ferroconvection", Int. J. Eng. Sci. 42(1-3), 411 (2004). https://doi.org/10.1016/S0020-7225(02)00273-2
N.M. Thomas, and S. Maruthamanikandan, "Effect of Gravity Modulation on the Onset of Ferroconvection in a Densely Packed Porous Layer", IOSR Journal of Applied Physics (IOSR-JAP), 3(2278-4861), 30 (2013). https://doi.org/10.1016/s0020-7225(97)80002-x
G.N. Sekhar, P.G. Siddheshwar, G. Jayalatha, and R. Prakash, "Throughflow Effects on Thermal Convection in Variable Viscosity Ferromagnetic Liquids", International Journal of Mechanical and Mechatronics Engineering, 11(6), (2017). https://doi.org/10.5281/zenodo.1131971
S. Mathew, and S. Maruthamanikandan, "Darcy-Brinkman Ferro convection with temperature dependent viscosity", J. Phys. Conf. Ser. 1139(1), (2018). https://doi.org/10.1088/1742-6596/1139/1/012023.
V. Vidya Shree, C. Rudresha, C. Balaji, and S. Maruthamanikandan, "Effect of MFD viscosity on ferroconvection in a fluid saturated porous medium with variable gravity", Journal of Mines, Metals and Fuels (JMMF), 70(3A), 98 (2022). https://doi.org/10.18311/jmmf/2022/30675
M.E. Gurtin, and A.C. Pipkin, "A general theory of heat conduction with finite wave speeds", Arch. Ration. Mech. Anal., 31(2), 113 (1968). https://doi.org/10.1007/BF00281373
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S. Mathew, S. Maruthamanikandan, S.S. Nagouda, "Gravitational Instability in a Ferromagnetic Fluid Saturated Porous Medium with Non-Classical Heat Conduction", IOSR J. Math. 6(1), 7 (2013). https://doi.org/10.9790/5728-0610718
R. Keerthi, B. Mahanthesh, and S.S. Nagouda, "Rayleigh–Bénard convection in a non-Newtonian dielectric fluid with Maxwell–Cattaneo law under the effect of internal heat generation/consumption", Multidiscip. Model. Mater. Struct. 16(5), 1175 (2020). https://doi.org/10.1108/MMMS-09-2019-0174
S. Mathew, and S. Maruthamanikandan, "Oscillatory porous medium ferroconvection with Maxwell-Cattaneo law of heat conduction", J. Phys. Conf. Ser. 1850(1), 2021. https://doi.org/10.1088/1742-6596/1850/1/012024
Shree, V. V., Rudresha, C., Balaji, C., & Maruthamanikandan, S. (2022). Effect of Magnetic Field Dependent Viscosity on Darcy-Brinkman Ferroconvection with Second Sound. East European Journal of Physics, (4), 112-117. https://doi.org/10.26565/2312-4334-2022-4-10
Copyright (c) 2022 Venkatesh Vidya Shree, Chandrappa Rudresha, Chandrashekar Balaji, Sokalingam Maruthamanikandan

redpajama_set_name: RedPajamaCommonCrawl


To save some money traveling by train in Bavaria, get a Bayern-Ticket. Get a few folks together and take advantage of the 29€ ride all day pass – good up to 5 travelers. Don't know 4 other people? That's fine just hang out by the ticket machines and ask folks. Seriously! Regular fare is 30€ or so, this way it's only 6€. that's for the local not the express trains. Express is about 50€ and saves only 30 minutes or so from Nürnberg to München. But for 10% of the cost it's definitely worth it!


Will we get all templates?
We are planning to buy Faster for our online store. we see a lot of home page templates in your envato site. Will we get access to all the template?
Is it possible to replicate a template which we like on your list?
We included 82 demo skins on Express Installation and you can install it easily.


With spring underway and summer just around the corner, this is the best time to lose weight and keep it off.
Of course, the challenges remain the same throughout the seasons, but longer days and summer skies prompt changes to your brain and body that make losing weight – and keeping it off easier than usual. Take advantage of these seasonal changes that are working in your favour right now.
To help you stay motivated this spring, Cambridge Weight Plan will be running a summer body Weight loss campaign over a 4 month period starting 1 September 2018, where participants are urged to shed between 5-10kg toward their summer bodies," says Renny Letswalo, Non-Executive Chairperson at Cambridge Weight Plan. "We will offer motivational and weekly exercise programmes and meal plans to help you on this weight loss journey. To keep up to date with weekly advice follow our social media platforms and visit our website www.cambridgeweightplan.co.za," adds Letswalo.
Did you know that on average, people consume 86 extra calories per day in autumn compared to spring? And as spring turns into summer, eating less is likely to continue.
While you may think sweat is what helps you burn fat, it's not. If you stay active and don't scale back on intensity during workouts, then you will see the kilograms melt. This can be related back to temperature regulation. As your body works to regulate itself, it works harder when it's hot, therefore burning more calories, adds Letswalo.
Have you noticed how warm weather promotes a happier mood? In extreme cases, the dark, gloomy days of winter can trigger a type of temporary depression called seasonal affective disorder (SAD). People with SAD may crave more carbs and end up gaining weight. On the contrary warm weather promotes better spirits, which probably means you don't have crazy cravings for heavy, fatty foods that you usually crave in the winter.
There appears to be a connection between lack of vitamin D, insulin resistance and obesity. Therefore people who are obese are more likely than their thinner counterparts to have lower levels of this vitamin. Research has also shown that some people are more likely to lose weight if they take a vitamin D supplement.
Spring meals are often cold and light. We are more likely to eat and enjoy fruit salads, cold salads, watermelon and the like, says Letswalo. Therefore with so many light foods to choose from we are more likely to choose healthier options. People also want more plant-based foods and less meat.


We are currently working on a very specific program designed for seniors. This small group program will include ground work, driving and mounted work for those physically able.
Mature adults face many changes. Many struggle with feelings of isolation, cut off from the people and things they care about. They may be lonely or depressed, while still others are looking for new challenges and social opportunities. The good news is that horses offer something for everybody!
Working with horses, seniors will have fun while being challenged to learn about animal communication and herd behavior in a very unique way. Sessions include the opportunity for experiential exercises with the horses followed by staff/group processing. Clients learn grooming, leading and handling, groundwork training skills, and when physically appropriate, mounted work and if unable to ride, they will be able to learn 'diving' with our miniature horses! By adding physical, social, and mental stimulation to their routines, seniors' lives become richer and healthier. And besides, you'll have something new and exciting to talk about!
We offer both individual and small group work, focusing on gentle exercise, appreciation of time spent in a tranquil outdoor setting, as well as creation of new relationships, both human and horse! This is can be a very powerful experience.


text:
Marvelous makes the Wii remote a royal scepter with Little King's Story
By Siliconera Staff June 11, 2008
Xseed and Marvelous are joining forces to publish Little King's Story (Ousama Monogatari) in North America. On top of the Japanese name you may recall the game referred to as "Project O" when Cing, the team behind Hotel Dusk: 215, was originally announced as the developer. Little King Story puts you in the shoes of Corobo, a shy boy who discovers a crown that gives him the ability to charm anyone. After testing his power, he is told by the bull-knight that he is now the king and Corobo vows to change his tiny town into a thriving kingdom.
Little King Story is a mix of a simulation and a Pikmin-like strategy game in a fairy tale setting. When I first saw it I thought the blend was fresh, but unluckily for Marvelous their game will be compared to Final Fantasy Crystal Chronicles: My Life as a King due to the similar looking boyish king protagonist. Japan gets a chance to play Ousama Monogatari first when it comes out in Q3 2008. North America doesn't have to wait much longer since it's slated for a winter 2008 release.
Images courtesy of Marvelous.
Nintendo Ends Wii Repair Services in Japan on March 31, 2020
More in Wii
Dragon's Crown was Initially Planned for Wii, Capcom Passed on Muramasa Pitch
By Sato November 27, 2019 0
Tales of Graces 10th Anniversary Party Announced For November 24, 2019 In Japan
By Sato June 17, 2019 0


Are lines, wrinkles, or age spots the first thing you notice when you look at your face each morning? These age-related changes can make you feel like you're fighting a losing battle. If you've searched for ways to combat these changes, you might have been told that surgery is the only way to fight the effects of aging.
Here at Lonestar Surgical Specialists in Decatur, Texas, Dr. Daniel Morris and his team know that you want to feel comfortable in your own skin. That's why he offers nonsurgical options to address the effects of aging on your skin.
Chemical peels can give you smoother, less wrinkled skin. Chemical peels are done by applying a chemical solution to your skin to exfoliate it. Over the next few days, your skin peels off to reveal a new layer of skin. Chemical peels can treat crow's feet, wrinkles, uneven skin tone, scars from acne, and other signs of aging.
This technique uses short, pulsing beams of light to remove skin irregularities. The laser slowly removes surface layers of your skin. As the area heals, new skin forms, which will have fewer wrinkles and blemishes.
Laser resurfacing is often used to treat fine lines, wrinkles, and scars from acne. You might notice some itching or stinging for up to 72 hours after the procedure. It can take a few laser resurfacing treatments to get the desired results.
As you age, your body no longer produces collagen and elastin as it once did. These two proteins give your skin strength and elasticity. Without collagen and elastin, your skin can appear loose around your neck and face. The ReFirme® skin tightening system uses radiofrequency and light energy to heat deep layers of your skin.
When the layers are heated up, it stimulates the production of collagen and elastin, which can tighten mild to moderately loose skin on your face and neck. Since ReFirme is a nonsurgical treatment, it only takes about an hour to perform in our office, and there's no downtime.
If you're ready to get younger-looking skin, book an appointment online or over the phone with Lonestar Surgical Specialists PA today.


text:
La calle Tucumán es una calle de la Ciudad de Buenos Aires que comienza en la Avenida Alicia Moreau de Justo y termina en la Avenida Medrano. Recorre los barrios de San Nicolás, Balvanera y Almagro.

Varios importantes edificios se alzan sobre esta arteria, entre otros, el Edificio República, el lujoso Claridge Hotel, el Teatro Colón o el Mirador Massue.

Referencias

Enlaces externos

Calles del barrio de San Nicolás (Buenos Aires)
Calles del barrio de Balvanera (Buenos Aires)
Calles del barrio de Almagro (Buenos Aires)
Calles de la ciudad de Buenos Aires

redpajama_set_name: RedPajamaWikipedia


This Rose Gold Jesus piece is the ultimate expression of hip hop swag. This is exactly why the rappers have at least one marvelous Jesus piece in his or her collection. All these iconic rappers have them. Notorious B.I.G had it. Jay Z had it, later, Kanye West got it. Now Rick Ross has it? For sure you remember his multiple Jesus pieces in that album "God Forgives, I don't". How dope was that? This 18k premium gold Jesus piece with a chain is your chance to steal that swag look from your favorite rappers.
This Jesus piece is made of high quality jeweler's brass and plated with real rose gold. It feels heavy and high quality and looks like a real Jesus piece without breaking your bank account.


It's easy to add a separator to the menus by editing the module's layer file; in fact, the Action wizard will do this for you. Items in the main toolbar are also configured through the layer file, but you may find that adding a separator as you would for the menu does not work in the toolbar. So how do you add a separator to the toolbar?
This page was last modified on 24 July 2010, at 20:37.


text:
Scatec Solar swung from profit to loss last year
The Norwegian solar developer has gone from a $15.5 million profit at the end of 2018 to a $4.33 million loss just as its project co-financiers banked $21.5 million.
January 24, 2020 Max Hall
Scatec ramped up its solar project activity last year – to the benefit of its co-investors.
Image: Scatec Solar
The quarterly figures published today by Norwegian solar project developer Scatec Solar make for confusing reading, thanks to the company's penchant for what it dubs 'alternative performance measures'.
While pv magazine cannot state with absolute certainty, it appears Scatec is a real money-spinner for outside investors who come in on its generation assets, even if its own figures have gone from a NOK140 million ($15.5 million) profit at the end of 2018 to a NOK39 million loss three weeks ago.
The company reports a set of 'proportionate financials' to reflect the fact it usually does not retain 100% ownership of the generation projects its develops, builds and operates.
Sticking solely with the consolidated figures published for the last three months of last year, and the full-year returns, Scatec appears to have booked a NOK12 million loss in Q4, up from a NOK11 million reverse in the previous three-month window and an about-turn on the NOK45 million profit it banked in the final three months of 2018. That will do little to dampen the spirits of the company's fellow investors, who apparently banked NOK68 million profits in the last quarter, on top of NOK78 million in Q3 and NOK31 million in the same period a year earlier.
In full-year terms, Scatec suffered a NOK39 million loss as its co-investors banked NOK194 million.
Nevertheless, the corporate suits responsible for the latest quarterly update felt able to write repeatedly about "growth in revenues and profitability during 2019" so all appears to be well at Scatec HQ.
In fact, as the latest update reminded shareholders, the business felt confident enough to raise its generation capacity deployment ambition in September and is now aiming to have 4.5 GW of projects at least under construction before 2022 and to then shoot for a further 1.5 GW per year.
Although project finance debt rose NOK4.05 billion last year, as a result of an expansion in activity, the company's total liabilities of NOK17.94 billion – NOK2.44 billion of them current – are outweighed by total assets of NOK21.68 billion.
Scatec claims to have a stake in 1,193 MW of operational solar capacity with a further 711 MW under construction, 568 MW in its backlog – meaning permits secured for a more-than-90% chance of completion – and 5,206 MW in its development pipeline. In all, operations in 16 countries are listed among that lot.
solo power systems says:
Off grid solar power is more usable and profitable in countries like Africa for both nation and residents than ongrid solar power.


How perfect is this pom pom top?
It's a shame I didn't find it early enough so that I could have it in time for our trip this weekend, but I'm pretty positive it will get plenty of use this summer. Would be cute as a cover up, with shorts or white jeans, and for the 4th!
and if you haven't tried the macarons from Pistacia Vera, make that on the top of your list!
It's true...I'm loving this age. He is SO much fun.
New product obsession below. It's a finishing spray that is liquid-to-powder that I spray on my hair after I style it for added volume and texture. Sometimes I use it in my place of dry shampoo on day 2 dirty hair because it keeps it looking clean!
Today is my Friday because bright and early tomorrow morning we're heading to Nashville!! It's bittersweet because we are obviously really excited, but at the same time will miss our little man so much. I know I mentioned this the other day, but gah. It pulls at my heart strings. Good thing it's only for 2 days and he's in good hands! I think I can do it, I think I can do it.
It's also my birthday on Monday (and we will be back then) so I will get to celebrate with my boys! Best of both worlds!
We're headed to Nashville in September, so I can't wait to hear all about your trip and any suggestions you have! Your vacay updates are always the best!
I can't wait to see how your Nashville trip goes! I'm going for the first time in August.
I swear your sweet boy is one of the cutest kids I've ever seen. He's just so handsome. Hope y'all have fun on your trip.
Make sure you hit up Urban Grub in Nashville. It's sooooooo good!
I hope y'all have an amazing trip pretty lady!


text:
Saturday Beefcake: Four on the Floor
Monterey Jack Turkey Burger
Ground Turkey, ten ounces
Scallion, minced, two tablespoons
Balsamic Vinegar, one tablespoon
Ketchup, one tablespoon
Garlic Powder, one quarter teaspoon
Black Pepper, one quarter teaspoon
Monterey Jack Cheese, shredded, one and half ounces
Turkey Bacon, four strips, grilled
Four Whole Grain Rolls, toasted
Onion, one medium, cut into four slices
Tomato, four slices
1. Combine all the ingredients, except the rolls, turkey, tomato and onion. Mix well. Divide mixture into four equal patties.
2. The burgers should be grilled six to eight minutes on each side.
3. Build burgers with rolls, tomato slices, bacon, and onion slices
4. Invite these three guys over.
Calorie wise this is very good; there are about 362 per serving. If that's what you are wont to do. As this web log is wont to do, the current photos have been lifted from the August 2008 issue of Men's Workout. Would that one might be able to steal away with them.
Posted by Giovanni Vitacolonna - Saturday, May 31, 2008 link to this post 0 comments Tweet
Saturday Beefcake: Afternoon Delights
Saturday Beefcake: Starting the Day
The first meal ...
... should be something of sustenance ...
... it will set the pace for the rest of the day.
Friday Night Might: Safer Sex in the City
Safer Sex In The City 2008
ASC's fourth annual Safer Sex In The City fundraiser at the fabulous club Duvet in Manhattan will be a night to remember.
To kick things off, Jack Mackenroth and Kevin Christiana from Bravo's hit show Project Runway will host this fabulous evening featuring the cast of Naked Boys Singing!, Playboy Playmates, premier DJ Vic Latino, hit singer amberRose Marie, club sensation Grace Garland, sexpert JamYe WaXman and many other special guests.
Join us on Thursday, June 19, at club Duvet, 45 West 21st St. (bet. 5th - 6th Aves.) in Manhattan.
The VIP Cocktail Reception will be from 6:00 to 7:30pm and the main event will be from 7:30pm till 10:00pm.
Safer Sex In The City, benefiting AIDS Service Center NYC, was created to support ASC's programming, while increasing public awareness of the continued fight against AIDS. By combining entertainment and education that showcase ASC's expertise in safer sex education and HIV risk reduction, we are advancing our goal of "promoting safer sex in the age of AIDS."
Why "Safer Sex In The City"?
AIDS Service Center NYC (ASC) is in the forefront of the fight against HIV/AIDS and the effort to ensure that all New Yorkers have access to HIV prevention, services, and treatment. Devoting equal time and resources towards all three of these essential areas is now our best hope in the fight against HIV/AIDS. Join us in our mission of "helping many, one by one" by lending your support to Safer Sex In The City 2008 today.
Safer Sex In The City raises awareness about HIV prevention
and staying healthy in the age of AIDS.
Safer Sex In The City communicates openly about
sexuality and risk reduction.
Safer Sex In The City makes safe play sexy.
Safer Sex In The City lets people with HIV know that
ASC is here to help.
Safer Sex in the City does what ASC does best. The event shares skills that help people protect themselves. It links people to testing so they can learn their HIV status. Most importantly, it lets people with HIV know that if they need help, we're here for them. As our partner in the struggle, you will be too.
Posted by Giovanni Vitacolonna - Friday, May 30, 2008 link to this post 0 comments Tweet
Gay Thursday: Civil Unions for Everyone!
These two gentlemen may not be getting married, but they are having a very civil union. It's all well and good that there is some recent fervor for same gender matrimony. It may very well be another set up for this election cycle. It keeps getting rerun until somebody gets it right. What's right is this that there should only be civil unions sanctioned by the state across the board. The state of matrimony is sacramental and only churches should anoint it. At any rate as long as the State sanctions matrimony there should be equal rights and privileges for all.
SAN FRANCISCO (Reuters) - A majority of registered Californian voters oppose changing the constitution of the most populous U.S. state to bar gays from marrying, according to poll released on Wednesday.
The Field Poll survey found 51 percent against approving a possible November ballot measure to prohibit gay marriage, with 43 percent in favor. A slightly differently worded question on the same issue found 54 percent opposed and 40 percent in favor.
The poll follows a state Supreme Court decision this month that barring homosexuals from marrying violated the California Constitution. Opponents of same-sex marriage have intensified efforts to put a state constitutional amendment on the ballot in November.
The poll found a strong generational gap on the issue, with those aged 18-29 approving of gay marriage by 68 percent and those 65 or older disapproving by 55 percent.
The poll found that in recent decades a growing number of Californians have approved allowing same-sex couples to marry, with 51 percent of those polled now approving, up from 44 percent in 2006 and 30 percent in 1985.
The poll of 1,052 registered Californian voters was taken from May 17-26, in the days after California Supreme Court decision, and had a sampling error of plus or minus 3.2 percentage points to 5 percentage points, depending on the question.
(Reporting by Adam Tanner; Editing by Doina Chiacu)
Posted by Giovanni Vitacolonna - Thursday, May 29, 2008 link to this post 0 comments Tweet
sig·nif·i·cant
Latin significant-, significans, present participle of significare to signify
1: having meaning ... 2 a: having or likely to have influence or effect : important, e.g. a significant piece of legislation; also : of a noticeably or measurably large amount ...
From DNA: Gay Holocaust Memorial Unveiled In Berlin
The Berlin Memorial to Gays who Perished in the Hitler Years.
Date: 28-May-2008
A memorial to the persecution of gays during the Third Reich years in Germany has been unveiled in Berlin.
Homosexuality did not fit into Hitler's plan for a superior master race, and 55,000 gay men were therefore classed as criminals. As many as 15,000 gays died in the Nazi's concentration camps during Hitler's reign.
The gay mayor of Berlin, Klaus Wowereit, unveiled the memorial – a large concrete 'box' with a window that displays a film of two men kissing inside.
Wowereit, disappointed that these gay victims had not been recognised until now, says that the delay in honouring them was symptomatic of "a society which did not acknowledge a group of people as victims, only because they chose another way of life."
On the other hand:
ig•no•rant
1 a: destitute of knowledge or education ; also : lacking knowledge or comprehension of the thing specified b: resulting from or showing lack of knowledge or intelligence
From the HuffingtonPost:
Dunkin Donuts has pulled a commercial featuring pitchwoman Rachael Ray wearing a scarf because Michelle Malkin and other conservative observers thought the scarf looked too much like a keffiyeh, what Malkin describes as "the traditional scarf of Arab men that has come to symbolize murderous Palestinian jihad."
The Boston Globe: Dunkin' Donuts Yanks Rachael Ray Ad
Does Dunkin' Donuts really think its customers could mistake Rachael Ray for a terrorist sympathizer? The Canton-based company has abruptly canceled an ad in which the domestic diva wears a scarf that looks like a keffiyeh, a traditional headdress worn by Arab men.
Some observers, including ultra-conservative Fox News commentator Michelle Malkin, were so incensed by the ad that there was even talk of a Dunkin' Donuts boycott.
''The keffiyeh, for the clueless, is the traditional scarf of Arab men that has come to symbolize murderous Palestinian jihad,'' Malkin yowls in her syndicated column.
''Popularized by Yasser Arafat and a regular adornment of Muslim terrorists appearing in beheading and hostage-taking videos, the apparel has been mainstreamed by both ignorant and not-so-ignorant fashion designers, celebrities, and left-wing icons.''
The company at first pooh-poohed the complaints, claiming the black-and-white wrap was not a keffiyeh. But the right-wing drumbeat on the blogosphere continued and by yesterday, Dunkin' Donuts decided it'd be easier just to yank the ad.
Said the suits in a statement: ''In a recent online ad, Rachael Ray is wearing a black-and-white silk scarf with a paisley design. It was selected by her stylist for the advertising shoot. Absolutely no symbolism was intended. However, given the possibility of misperception, we are no longer using the commercial.''
(In case you're wondering, the stylist who selected the offending scarf was not Gretta Enterprises boss Gretchen Monahan, who appears on Ray's TV show as a style consultant.)
For her part, Malkin was pleased with Dunkin's response: ''It's refreshing to see an American company show sensitivity to the concerns of Americans opposed to Islamic jihad and its apologists.'
[sigh]
Posted by Giovanni Vitacolonna - Wednesday, May 28, 2008 link to this post 0 comments Tweet
Tuesday Talent: Giovanni and/or Romeo Roselli
This feature in both of its versions exists to point someone out who has something to offer. A great deal of the time it has a lot to do with someone who is capable of revitalizing one's fantasy life. There have also been many who are not only easy on the eyes but are actually talented. You can go back and opine for yourself who they are. There have also been more than a few who have good hearts. Sometimes, like this one, one comes up doing a search and catches your eye.
Roselli may be one of those professional wrestlers who is looking to cross over into cinema work. There have been more who have a modicum of success than one might think. Wrestling requires creating a persona to go along with one's style. Hence, Rosselli's two first names: Giovanni and Romeo, the second of which is the persona that once was part of the tag team "The Heartthrobs." These athletic entertainers necessarily have to act and quite often follow through on story lines. In recent memory, John Cena and quite notably Dwayne "The Rock" Johnson have had their piece of the cinematic pie. Who knows if this heartbreaker can follow in those rather large foot steps?
Wikipedia had this to say: "Although Roselli continues to work as an independent wrestler, as well as a certified personal trainer, he apparently has turned his attention to acting. He is a member of SAG and AFTRA, and has roles in the films College Road Trip, Baby Mama, and a featured role in The Wrestler." [starring Mickey Rourke and Marisa Tomei]
Here is this cute clip retrieved from YouTube:
Of course, as you know, this web log is enamoured with all things Italian and with good reason. So, here is one more reason.
Posted by Giovanni Vitacolonna - Tuesday, May 27, 2008 link to this post 0 comments Tweet
Monday Musing: Memorial Redux 2008
Death is a fact of life and it comes to everyone. War brings death but it is not inevitable. Today's remembrance is for the fallen.
While there have been such things as righteous wars of self-defense there is no such thing as a good war.
There can be on the other hand a peaceful death and it is the best anyone can hope for. It's been said that fear of death is tantamount to fear of living and living necessitates being surrounded by loving friends and relatives. The sadness of those left behind has no equal and it forever changes their lives. A creative life full of dear people enables final peace for the departed and in some way eventually for the intimates within that life. Grieving is that process that helps the living to go on after the departure of a loved one even without any revelation as to the meaning of life. It is part of embracing what is.
Death by war necessitates fear and turmoil. Support of the soldiers means that we want them to come home to their loving friends and relatives. We want their good intentions to protect them. We hope that there will never again be unknown soldiers and that the final peace will be as such for everyone.
Posted by Giovanni Vitacolonna - Monday, May 26, 2008 link to this post 0 comments Tweet
Sunday Songs: Gratitude to the Gods, Musical and Otherwise
Although there is a serious raison d'etre for this three day weekend, it is the unofficial commencement of summer and for that reason are posted a trio of songs from the uniquely talented Billy Stewart who passed away just two months shy of his thirty-third birthday, placing him in a pantheon of young rock'n'roll geniuses who left the world much too soon.
Edited From Soul-Patrol.com:
In December 1964, Billy recorded and released a masterpiece titled, "I Do Love You." The song hit both the R&B and Pop charts and stayed on the charts for 21 weeks. The next release was "Sitting In The Park." It hit Top Ten R&B and Top Twenty pop. Billy was in popular demand.
His extensive touring made it impossible for him to get back in the studio to record, because, as Billy put it, touring paid more of the bills than receiving record royalties. Finally, in the summer of 1966, Billy wanted to try something new and different. Trying to reach more into the pop stream, Billy Davis suggested that he try recording an album of standards, which would broaden his audience.
Billy went back to a song that won him a local talent show as teenager with "Summertime." The recording took place on October 6, 1965 and featured the regular Chess session musicians including Pete Cosey on guitar, Louis Satterfield on the electric bass, Sonny Thompson on piano and a young drummer, (who would go on to have a major influence in the 70's later with his group Earth, Wind & Fire) Maurice White. Maurice White played session drums for all of the hit records at Chess. With Billy's trademark of doubling words and his new nickname being "Motormouth," this was Billy at his best.
It paid off, making "Summertime" his first crossover top ten hit on the Pop charts and hitting #7 on the R&B charts.
In honour of the oncoming season, here are some pics of a young man in Timoteo swimwear. If it's good enough for DNA, it's good enough for Column of Life. There's nothing like a young god in a bathing suit.
Timothy [and Timoteo] etymology
masc. proper name, from Fr. Timothée, from L. Timotheus, from Gk. Timotheos, lit. "honoring God," from time "honor, respect" + theos "god."
Posted by Giovanni Vitacolonna - Sunday, May 25, 2008 link to this post 0 comments Tweet
Saturday Beefcake: Nightcap, his name is Gunnar
Reflections of a golden god.
Saturday Beefcake: Penne with Salmon & Asparagus
Penne, cooked, 250 grams/six to eight ounces
Chicken Bouillon Cube
Dry White Wine, one half cup
Salmon Fillets, four, three-ounce, skinned and boned
Fresh Asparagus, pieces, one inch, one cup
Sour Cream, one cup, nonfat is good, low fat is better
Mustard, whole grain mustard, three tablespoons
Sea Salt, three quarter teaspoon
Black Pepper, freshly ground, one half teaspoon
Chives, fresh, chopped, one quarter cup
1. Dissolve bouillon cube in boiling water, stirring add the wine.
2. Add salmon and asparagus to a large skillet. Poach for about five minutes. Fish should flake and asparagus should be "tender-crisp."
3. Flake the salmon into bite size pieces.
4. Remove the salmon and asparagus with slotted spoon to a bowl with the pasta.
5. Reserve the cooking liquid.
6. Beat the sour cream with mustard, salt, pepper and three tablespoons of the chives and reserved cooking liquid.
7. Pour over pasta mixture. Toss. Sprinkle with remaining chives.
According to Weight Watchers, this should serve four. Therefore, there are four young men placed here at your disposal. It's seafood and kicks off this long weekend just nicely as would they.
Whole grain penne are an especially good option here out watching weight with the best.
The original recipe is per serving: 364 calories, twenty-nine grams of protein, seven grams of fat, forty grams of carbohydrates, two grams fiber, forty-seven milligrams cholesterol.
Saturday Beefcake: What's For Lunch
Shrimp, six ounces
Lemon, one half
Olive Oil, two teaspoons
Rosemary, fresh, one tablespoon
Freshly Ground Black Pepper, one quarter teaspoon
Baby Greens, two cups
Fresh Flat Leaf Parsley, one quarter cup
Basil Leaves, Fresh, five or six
Grape Tomatoes, halved, one cup
Asparagus, blanched, chopped, one half cup
Capers, chopped, one tablespoon
Pre-heated Broiler
1. Toss the shrimp with the juice from the lemon, olive oil, rosemary and black pepper.
2. Broil the shrimp on a nonstick baking sheet on the highest rack about two minutes on each side.
3. Toss the greens, parsley, basil, parsley, tomatoes, asparagus and capers.
4. Mound the salad in the center of a platter and arrange the shrimp on top.
5. Pour over the salad any remaining juice from the baking sheet.
6. The heat of the salad will wilt the greens slightly and their juices will dress the salad.
This serves one with 330 calories, five grams fat, thirteen grams fat, forty grams protein, fifteen grams carbohydrate, 540 milligrams of sodium. Doctor Schnur suggests you impress the fish monger by asking for 31-35 count shrimp.
Well, you can quadruple the recipe or have four different lunch dates with the guys here.
Saturday Beefcake Breakfast
Well, either it's the most important meal of the day or it's not. There's so much discussion about what breakfast can or cannot, should or should not do. Some things, however, are worth waking up to.
Main Event II: Barbara Porteus
Barbara can love out loud with the best of them.
Friday's Main Event I: From A Fan
(Alicia Minshew and fans)
"Loving Out Loud"
Bright sunshine and blue skies warmed the sidewalk on the west side of Columbus Avenue and 84th Street in Upper Manhattan. Late afternoon brought a line of people to the entrance of Prohibition, a high-end bar and restaurant that is reminiscent of the 1920s and '30s fused with a modern edge. This comfortable, cozy eatery once again served as the venue for the 3rd annual POZ kickoff to AIDS Walk New York held on May 14th.
POZ is "the premier lifestyle, treatment and advocacy magazine for people living with—and those affected by—HIV and AIDS," explained Giovanni Vitacolonna via e-mail. Vitacolonna is the circulation supervisor of POZ magazine and coordinator of the event. Daytime actors from One Life to Live, As the World Turns, Guiding Light and All My Children, along with other local celebrities like Jack Mackenroth of Project Runway came out to support the cause. A total of $7,500 from that evening went toward the POZ team's fund-raising for the May 18 AIDS Walk, bringing the grand total to over $13,800.
(Rich Herschenfeld of Prohibition with fiancee, Alicia Minshew and Thorsten Kaye)
With over 200 in attendance, fans of AMC's Zach and Kendall, portrayed by Thorsten Kaye and Alicia Minshew, came out in force. This year's POZ theme "Love Out Loud" was on full display. Crystal McCovery flew in from Las Vegas to not only see her friends from the online Z&K Message Board, but to see Kaye and Minshew. A three year member of the Z&K board, this is the second time McCovery has attended the POZ kick-off event. McCovery and a fellow board member collected additional money on the Z&K board to donate to POZ. "It started three years ago. The first year, we (members of the Z&K board) raised $500, the second $2,550 and this year, $2,600." Though HIV/AIDS has not impacted McCovery personally, she does support the cause and has participated in the Los Angeles AIDS walk and has done some of her own fund-raising.
(Van Hansis and Billy Magnussen of As the World Turns)
For fellow Z&K board members, Kay Gordon of Greensboro, N.C., and Susan Johnson of Richmond, Virginia, the impact of HIV/AIDS has personal meaning. Gordon and Johnson have lost people close to them and feel very strongly about raising money for AIDS. "I have a friend who lost a son to AIDS several years ago before all the new medication, etc. And while the disease has not hit my family directly, I know the pain it caused my friend," explains Johnson. Gordon lost three close friends to AIDS, the last dying nine years ago. "It is heartbreaking and shattering to this day."
(Marj Dusay of Guiding Light talking about her late son, Randy)
In addition to traveling north for the POZ event, Gordon ordered several hundred bracelets with the theme "Love Out Loud," joined by two ribbons and Team POZ 2008 on the back. These bracelets were given to members of the POZ staff, as well as to the celebrities who attended the event. The proceeds Gordon made for selling the bracelets were donated to POZ and the rest of the bracelets were given to Vitacolonna to do "with what he wishes." [POZ will use them for its upcoming Los Angeles event.]
(Thorsten Kaye and Alicia Minshew)
Vitacolonna has been part of the POZ staff for the last two and a half years. He's a Star Walker for the Walk. When he came to work at POZ, he decided to make the effort "a bit more formal." Over the last three years, "Love Out Loud" has grown, with more actors and primetime personalities attending. For the future, Vitacolonna sees the event turning "into a VIP soiree, and we'd like to develop more elaborate fund-raising functions for the stage."
(Alicia Minshew, Billy Miller and Melissa Claire Egan of All My Children)
What about all those crazy Zendall fans? Throughout the three-hour event, they "Loved Out Loud," dancing to music, enjoying each other's company and uniting together because of two very special actors who inspired the Z&K board. "We seem to be more dedicated to the actors more than the characters they play on the show. We love Thorsten and Alicia first and foremost," McCovery explains. Gordon concurs. "The uniqueness starts with the loyalty to the couple. That goes directly to the talent, presence and love/respect for the fans of the actors themselves. Zen fans are unique because of TK and Lish and who they are."
(Mark Dobies and Kamar de los Reyes of One Life to Live)
Vitacolonna explains it is not unusual for a group of fans to come together and raise additional money to donate. Of the members of the Z&K board, "they are the best in the soap world."
Kristen Jaccodine


text:
VCU dominant in third win over Richmond this season
The third time was not the charm for the Spiders. The Virginia Commonwealth University Rams completed the three-game season sweep over University of Richmond to move on to the Atlantic 10 Tournament semifinals.
https://www.thecollegianur.com/article/2014/03/vcu-dominant-third-win-richmond-season
Rapid Recap: Richmond 53 - VCU 71
(03/15/14 12:34am)
Final Score: University of Richmond 53 - Virginia Commonwealth University 71
https://www.thecollegianur.com/article/2014/03/rapid-recap-richmond-vcu
Richmond vs. VCU first-half analysis
First-half score: Richmond - 22, VCU - 38
https://www.thecollegianur.com/article/2014/03/richmond-vs-vcu-first-half-analysis-3
Richmond-VCU preview with VCU Ram Nation
Richmond's 76-64 win over Duquense sets up an Atlantic 10 quarterfinal matchup between the city of Richmond's rivals. VCU won the first meeting 81-70 at the Siegel Center, in what turned out to be Richmond seniors Derrick Williams and Cedrick Lindsay's final collegiate games. VCU then pulled out a hard-fought 56-50 victory over a resilient Richmond team behind Treveon Graham's 18-point, 10-rebound and four-assist performance. Will the third time be the charm for the Spiders? Or will the N0. 23 Rams secure the three-game season sweep? Mat Shelton of VCU Ram Nation (Follow them on twitter at @VCURamNation) and Jack Nicholson, sports editor for The Collegian, offer their thoughts and predictions on the game.
https://www.thecollegianur.com/article/2014/03/richmond-vcu-preview-vcu-ram-nation
Rapid Recap: Richmond 76 - Duquesne 64
Final Score: Richmond 76 - Duquesne 64
https://www.thecollegianur.com/article/2014/03/rapid-recap-richmond-duquesne
Rams beat Spiders 56-50, sweep season series
University of Richmond led Virginia Commonwealth University for the first 30 minutes, but the Rams rallied late without its two point guards and pulled out Thursday night's slugfest, 56-50, to sweep the season's two-game series with the Spiders.
https://www.thecollegianur.com/article/2014/03/nicholson-richmond-vcu
Photo Gallery: Richmond vs. VCU
Contact photographer David Weissman at david.weissman@richmond.edu. Follow on Twitter @spiderdave32.
https://www.thecollegianur.com/article/2014/03/photo-gallery-richmond-vs-vcu
Final Score: Richmond 50 - VCU 56
https://www.thecollegianur.com/article/2014/03/rapid-recap-richmond-x-vcu-x-2
Live Stream: Richmond at Rhode Island
Brought to you by the Atlantic 10 powered by Campus Insiders.
https://www.thecollegianur.com/article/2014/03/live-stream-richmond-rhode-island
Rapid Recap: Richmond 60, George Mason 69
Final score: University of Richmond- 60, George Mason University- 69
https://www.thecollegianur.com/article/2014/02/rapid-recap-richmond-george-mason
Terry Allen delivers in men's basketball game versus La Salle
University of Richmond head coach Chris Mooney said he had wanted to see Terry Allen play more aggressively following Richmond's loss to George Washington last Tuesday.
https://www.thecollegianur.com/article/2014/02/mens-basketball-versus-la-salle
Photo Gallery: Richmond vs. La Salle
Contact photographer David Weissman at david.weissman@richmond.edu. Follow him on Twitter @spiderdave32.
https://www.thecollegianur.com/article/2014/02/photo-gallery-richmond-vs-la-salle
Rapid Recap: Richmond 62 - La Salle 49
Final Score: Richmond 62 - La Salle 49
https://www.thecollegianur.com/article/2014/02/rapid-recap-richmond-x-la-salle-x
Richmond vs La Salle first-half analysis
First-half score: Richmond - 23, La Salle - 24
https://www.thecollegianur.com/article/2014/02/richmond-vs-la-salle-first-half-analysis
Q & A with ShawnDre' Jones
Q: When did you start playing basketball?
https://www.thecollegianur.com/article/2014/02/q-shawndre-jones
Rapid Recap: Richmond 65 - George Washington 73
Final Score: Richmond 73 - George Washington 65
https://www.thecollegianur.com/article/2014/02/rapid-recap-richmond-x-george-washington-x
Richmond vs George Washington first-half analysis
First-half score: Richmond - 29, George Washington - 28
https://www.thecollegianur.com/article/2014/02/richmond-vs-george-washington-first-half-analysis
Rapid Recap: Richmond 82 - Fordham 70
Final Score: Richmond 82 - Fordham 70
https://www.thecollegianur.com/article/2014/02/rapid-recap-richmond-x-fordham-x
Live Stream: Richmond vs Fordham
https://www.thecollegianur.com/article/2014/02/live-stream-richmond-vs-fordham


text:
Watch: Spurs are defending like a 'relegation team': Conte
Antonio Conte admits Tottenham are defending like a "relegation team" as they lose ground in the race to finish in the Premier League's top four.
Conte's side crashed to a second successive defeat on Thursday after blowing a two-goal lead in their 4-2 defeat at Manchester City.
Fifth-placed Tottenham have conceded 21 goals in their past 10 league matches, with that leaky defence a significant factor in a damaging run of just one win in their past five games.
Tottenham's defensive frailties were on full display at the Etihad Stadium as mistakes from Hugo Lloris and Clement Lenglet contributed to their dispiriting loss.
"To concede 21 goals in 10 games is usually a team that is fighting for relegation!" 😳
Antonio Conte's Spurs are struggling ⬇ pic.twitter.com/rMuvcIwwJ7
— Mirror Football (@MirrorFootball) January 20, 2023
Conte is growing frustrated with the blunders and urged his players to make improvements in defence ahead of Monday's trip to Fulham.
"Progress doesn't depend on the final result," he said on Friday. "The progress you see if you start to see the players play with the personality, to start the game with the will and desire to have the ball.
"In other side, compare to last season, we are doing less and to concede 21 goals in the last 10 (league) games, this is usually a team that fight for a relegation zone."
Having taken a 2-0 lead at half-time, Conte's team allowed City to score twice in two minutes after the break to kickstart their comeback.
Conte questioned the mentality of his players, who endured a similar poor run last season only to recover to eventually to secure Champions League qualification.
Achieving that goal this season could be a lot harder, with fourth-placed Newcastle five points ahead of them with a game in hand.
"It doesn't depend on the single part. You attack with the whole team and you defend with the whole team," Conte said when asked for the solution to Tottenham's defensive woes.
"We have to improve the spirit, the collaboration, the desire. Maybe we have forgotten to suffer and to understand that if we want to win then maybe you have to suffer like last season.
"I dream, I want to play Champions League. There are 18 games in the Premier League. We need to dream of something important, but at the same time to be realistic."
Watch: Guardiola criticises Man City's lack of hunger for more
Klinsmann: Reyna-Berhalter spat 'sad' for US soccer


A reoccurring theme in Proverbs contrast what a fool is like verses what a wise person is like. Here are two verses that bring to light that contrast in our everyday life.
Sometimes we hold on to our position to such a degree that we can't see someone else's point of view. I'm certainly not talking about condoning sin....but simply seeking to understand. We can't minister to someone whom we refuse to listen to or endeavor to understand. Is it possible that there are people in your everyday life that you really don't understand because of preconceived ideas or suppositions that you hold? Some years ago I was on an abortion debate message board. While I certainly kept my pro-life position I nonetheless through discussion began to see the plight of many women in our country and in the world. I saw somethings that were excuses but other things that were opportunities to minister in the lives of women. In the end some women I talked too...said, "we know you care about us." That never would have happened if we (I wasn't the only Christian on the board) refused to listen. The experience forever changed my thinking. It was an everyday challenge. We were able to maintain our pro-life position and show love and understanding. I began to care about the women that felt they have no choice. Admittedly it is difficult to listen when your mind cries out to express itself.
Do you dare to ask the Holy Spirit if there are areas and subjects that you've refused to listen to someone elses point of view?
Been there done that. If you are like most people just reading this verse brings back memories of a time where this was true of your response. Thankfully we don't have to stay in that rut. It is easy to have a little information and run with it instead of being patient enough to hear the whole story. Easy in this case though isn't good. It can harm relationships and make you wish that you could do it all over again. Here is one more verse that brings the truth home.
What verses popped out at you as you read Proverbs 18 today?


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text:
OLD HAT HOME > PICTURE GALLERY > MASKED MUSICIANS
Masked Musicians
Circa 1920s, possibly Ohio, photographer unknown
Scanned from original 7 x 5" glass-plate negative. Collection of Zachary Sigall
This lineup of five masked figures seated in a barnyard makes for an interesting photograph, and one appropriate for the Halloween season. The men's fashions, including the button-up shoes, are all consistent with the 1920s, as are the store-bought masks. Each masked man poses with a distinctive object—an open book, a bottle, a Weidlich Royal accordion, a box camera (possibly a Kodak Premo Junior), and a round-back "potato bug" mandolin. At their feet are two additional props—a liquor jug and a negative carrier marked "exposed."
Among the masks are ones depicting a devil, a jack-o-lantern, and a cat, all enduring Halloween images. The other two masks show popular newspaper comic strip characters of the day. The mandolinist wears a Foxy Grandpa mask and the man with the camera masquerades as Happy Hooligan. Foxy Grandpa was created by cartoonist Charles Edward Schultze, known as "Bunny," and Happy Hooligan was the brainchild of Frederick Burr Opper. Both strips debuted in 1900, and both endured for about three decades.
This image was scanned from the original 7 x 5" glass negative, then reversed to create a positive. Collector Zachary Sigall acquired the glass plate from a woman in Ohio, which suggests a possible location for the picture. Glass-plate photography first gained wide acceptance in the 1850s, displacing the earlier daguerreotype and calotype processes. Although flexible-roll film was introduced in the 1880s, glass plates remained popular with a large segment of the photographic community well into the 20th century. Some professionals, especially press photographers, were still using glass plates as late as the 1950s.


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https://www.phonescoop.com/articles/article.php?a=17965&p=6815
Review: Alcatel Idol 4S - Unlocked
Hardware Software Wrap-Up Comments
When I met with Alcatel to pick up my Idol 4S review unit, much of the discussion revolved around value. I'm not quite sure Alcatel's math adds up.
Consider: The Idol 3 cost $249 and at that price was a bargain. Few phones in that price range last year delivered such value. The Idol 4S makes a huge leap forward in terms of specs, quality, and capabilities. Moreover, the Idol 4S ships with a set of VR goggles, a pair of JBL headphones (which are crap, by the way) and a set of Incipio covers. Alcatel hopes this "package" will distract you from the 60% price increase. The Idol 4S sells for $399.
The phone by itself could easily fetch $299 and maybe even $329. It's that good. The design is attractive, the materials and build are pleasing, and the spec list performs way above its pay grade. Call quality, battery life, and data performance are average, but the screen is nice, the user interface is clean, and the speakers provide some entertainment value.
There are a lot of other phones that cost $399 that are sold by carriers and have a good support story, like the iPhone SE. Then there are known Android champs, like the Nexus 5x or 6p. Alcatel is forgetting that people have to go out of their way to find unlocked smartphones.
I like that Alcatel is tossing in a lot of extras, but many people don't give a rat's tail about VR or lame third-party headphones or cases. In my opinion, Alcatel would do well to offer an unbundled version of the phone for a lot less than the $399 asking price.
All that said, if you're looking for a complete VR package — or possibly even a gift — the Idol 4S fits the bill.
Hardware Usability
Hardware Quality
Interface Speed
Audio Volume
Hands On with Alcatel's Idol 4 and 4S
Alcatel's new flagship phone for 2016 is the Idol 4S. It's accompanied by the Idol 4, a smaller and more affordable cousin.
Alcatel Makes the Idol 4S with Windows Official
Alcatel today announced a new variant of the Idol 4S with Windows 10 Mobile on board. This handset carries over the chassis of the Android-based model, but changes a number of key specifications.
Alcatel Adds Fingerprint Reader to Idol 4S, Selling Bundle for $350
Alcatel today announced launch details for the Idol 4S phone. The company added a fingerprint sensor to the US variant of the phone, a feature not included when the Idol 4S was first announced in February.
Alcatel's Flagship Idol 4S Includes VR Goggles
Alcatel today announced the Idol 4 and Idol 4S, the company's new top-end phones. Both phones sport a premium design with metal frame, and glass front and back.
TCL to Be Sole Maker of BlackBerry Phones
BlackBerry today said moving forward TCL Communications, the parent company of Alcatel, will be responsible for designing, manufacturing, selling, and supporting all BlackBerry-branded smartphones. The companies struck an agreement that sees TCL licensing BlackBerry's security software and service suite along with the BlackBerry brand.
5.5" display 1440 x 2560 pixels
Memory Card Slot, Headphone Jack (3.5mm), NFC, Fingerprint Reader


9:30 a.m. – 9:30 p.m., Mon. – Fri.
When you choose Mercy Surgery Center, you can be confident we consider patient safety and quality of care to be our highest priority. Accredited by the Joint Commission (a nationally recognized accrediting institute), the surgery center regularly undergoes rigorous on-site evaluations and is committed to meeting and exceeding national quality and safety standards.
Mercy Surgery Center is equipped with the latest surgical and monitoring tools, allowing surgeons to perform a diverse array of inpatient and outpatient procedures such as general, head and neck, gynecological, neurological, ophthalmological, oral and maxillofacial, orthopaedic, thoracic, urological and vascular surgeries. The Surgery Center can also accommodate urgent, emergent procedures along with supporting Mercy Medical Center's Trauma Program.
Mercy Surgery Center utilizes the most up-to-date anesthesia equipment, including a state-of-the-art heart monitoring and breathing device, for all Mercy patients. Newer technology keeps the patient's body temperature within normal limits and measures the level of consciousness in an anesthesized patient.
Note: All heart surgeries are performed in Mercy's nationally recognized Mercy Heart Center located on the 3rd floor of the Medical Center.
In 2008 Mercy Medical Center became the first hospital in the local fivecounty area to unveil the da Vinci Surgical System and currently has two robots on site. Experienced surgeons and staff are routinely performing heart, gynecology, urology and general surgeries.
Advantages include smaller incisions, as well as the potential for reduced blood loss and risk of infection, significantly less pain, a shorter hospital stay and a faster recovery.
Mercy's endovascular suite has the latest vascular imaging capabilities, enhancing the surgeons abilities to perform vascular and endovascular procedures. The suite contains a control room, fluoroscopy bed, surgical lighting and anesthesia capabilities, all within a sterile environment.
At Mercy Surgery Center, you may choose bloodless surgery, an approach that speeds recovery and healing. Our on-site coordinator will work with you, your family and physicians to provide bloodless techniques such as an advanced cell-saver system, electrosurgical coagulation, electrocautery, skin monitors, treatments with medications and other methods.
If you select bloodless surgery, all staff involved in your care – from the admitting office to the operating room – are made aware of your decision. With this integrated approach, you can be sure Mercy is committed to your choice of care.
Mercy Surgery Center supports family involvement. To help with pre-surgery preparation and post-surgical care, family members are included in all patient education discussions.
Your privacy is important. Three individual conference rooms are available for family members to speak privately with the surgeon.
Mercy Surgery Center has its own three-level parking deck, so you and your family do not need to enter the main medical center. While you are in surgery, your family members can relax in the surgery center's large, open lobby/waiting area illuminated by natural light.
If your physician advocates surgery, Mercy will provide superior assistance and care throughout the entire process. From pre-registration and pre-admission testing to postsurgical follow-up, you can be confident Mercy's caring, considerate staff will make your surgery experience as comfortable as possible.


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Q: Android java - dynamically add ImageViews in LinearLayout i would like to add to a LinearLayout some imageViews dynamically in my app.
My following code doesn't show errors and prints what it is supposed to on logcat each time an ImageView is added from java code.
My problem is that when i run the app the images don't appear on screen....any idea where i am doing wrong ?
thanks a lot.
public class MesListesFragment extends Fragment {
private RecyclerView mes_listes_recyclerView;
private ArrayList<ListItem> liste_items;
private LinearLayout list_card_categories;

@Nullable
@Override
public View onCreateView(@NonNull LayoutInflater inflater, @Nullable ViewGroup container, @Nullable Bundle savedInstanceState) {
    View view = inflater.inflate(R.layout.mes_listes_fragment, container, false);
    View view2 = inflater.inflate(R.layout.list_item, container, false);

    mes_listes_recyclerView = view.findViewById(R.id.mes_listes_recyclerView);
    list_card_categories = view2.findViewById(R.id.list_card_recyclerView);

    liste_items = new ArrayList<>();

    for (int i = 0; i < 10; i ++){
        liste_items.add(new ListItem("Liste des ploucs", "18 Août 198" + i));
    }

    LinearLayoutManager linearLayoutManager = new LinearLayoutManager(getContext());
    mes_listes_recyclerView.setLayoutManager(linearLayoutManager);
    mes_listes_recyclerView.setAdapter(new ListViewAdapter(getContext(), liste_items));

    for (int i = 0; i < 8; i++){
        ImageView image = new ImageView(getContext());
        image.setImageResource(R.drawable.user);
        list_card_categories.addView(image);
        Log.d("view created", "...");
    }
    return view;
}

}
Here is the xml, the file's called list_item.xml :
    <?xml version="1.0" encoding="utf-8"?>

<androidx.cardview.widget.CardView xmlns:android="http://schemas.android.com/apk/res/android"
    xmlns:app="http://schemas.android.com/apk/res-auto"
    android:layout_width="match_parent"
    android:layout_height="150dp"
    android:layout_marginHorizontal="10dp"
    android:layout_marginTop="10dp"
    app:cardCornerRadius="10dp">

    <RelativeLayout
        android:layout_width="match_parent"
        android:layout_height="match_parent">

        <LinearLayout
            android:id="@+id/list_card_first_container"
            android:layout_width="match_parent"
            android:layout_height="100dp"
            android:baselineAligned="false"
            android:orientation="horizontal"
            android:weightSum="100">

            <LinearLayout
                android:layout_width="match_parent"
                android:layout_height="match_parent"
                android:layout_weight="50"
                android:gravity="center"
                android:orientation="vertical">

                <TextView
                    android:id="@+id/list_card_textView_nom_liste"
                    android:layout_width="wrap_content"
                    android:layout_height="wrap_content"
                    android:text="Nom de la liste"></TextView>

                <TextView
                    android:id="@+id/list_card_textView_date_liste"
                    android:layout_width="wrap_content"
                    android:layout_height="wrap_content"
                    android:text="Date liste"></TextView>
            </LinearLayout>

            <HorizontalScrollView
                android:layout_width="match_parent"
                android:layout_height="match_parent"
                android:layout_weight="50">

                <LinearLayout
                    android:id="@+id/list_card_recyclerView"
                    android:layout_width="match_parent"
                    android:layout_height="match_parent"
                    android:layout_weight="50"
                    android:gravity="center"
                    android:orientation="horizontal">
                </LinearLayout>
            </HorizontalScrollView>
        </LinearLayout>

        <LinearLayout
            android:id="@+id/list_card_second_container"
            android:layout_width="match_parent"
            android:layout_height="match_parent"
            android:layout_below="@id/list_card_first_container"
            android:gravity="center"
            android:orientation="horizontal"
            android:paddingVertical="5dp">

            <Button
                android:id="@+id/list_card_button_editer"
                android:layout_width="wrap_content"
                android:layout_height="30dp"
                android:layout_marginEnd="20dp"
                android:background="@color/bleu_fb"
                android:text="@string/editer"></Button>

            <Button
                android:id="@+id/list_card_button_supprimer"
                android:layout_width="wrap_content"
                android:layout_height="30dp"
                android:background="@android:color/holo_red_light"
                android:text="@string/supprimer"></Button>
        </LinearLayout>
    </RelativeLayout>

</androidx.cardview.widget.CardView>

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