text:
\section{Introduction}

The motivating example is the \emph{lattice} tetrahedron with vertices (0,0,0), (1,0,0), (0,1,0) and $(1,1,c)$ with $c$ being an arbitrary positive integer. We denote this tetrahedron as $T_{1,1,c}$. Regardless of the size of $c$ (and consequently the volume of $T_{1,1,c}$), $T_{1,1,c}$ does not contain any lattice points other than its vertices.  This is in surprising contrast to the situation in $\R^2$ where a \emph{lattice} triangle does not contain any lattice points, other than its vertices, if and only if it has area 1/2. (To see this we invoke Pick's theorem.)

Reeve~\cite{Ree} posed the problem of characterizing such tetrahedra. Some years later White~\cite{Wh} solved this problem. Over the years different authors have given proofs of White's theorem (see~\cite{B-vH,M-S,Rez1,Rez2,Sca}). The second author gave a proof of White's theorem in her doctoral dissertation~\cite{Rog}. In this article we give a detailed exposition of this proof.

Before stating the relevant theorems we establish some notation and definitions. Let $a,b,c \in \Z$ with $0\leq a,b <c$. We will use $d$ to denote the integer
$$ d = (1-a-b) \mod c, 0 \leq d < c.$$
Furthermore, $T_{a,b,c}$ will denote the lattice tetrahedron with vertices $(0,0,0)$, $(1,0,0)$, $(0,1,0)$ and
$(a,b,c)$.

\begin{defn}
Following Reznick~\cite{Rez2}, we call a lattice polyhedron that does not contain any lattice points other than its vertices an \emph{empty lattice polyhedron}. Such a polyhedron belongs to a larger set of lattice polyhedra that do not contain any lattice points on their boundary other than the vertices. We call such polyhedra \emph{clean lattice polyhedra}.
\end{defn}

We insert a warning about the the terminology, particularly in the case of tetrahedra. Other names in the literature for empty tetrahedra are \emph{fundamental},
\emph{primitive}, \emph{Reeve}.

\begin{defn}
An \emph{affine unimodular map} is an affine map
$$L: \R^3 \rightarrow \R^3 \textrm{ of the form } L(\vec{x}) = M\vec{x} + \vec{u},$$
where $M \in GL_3(\Z)$, $\det(M) =\pm 1$, and $\vec{u}\in \Z^3$.
\end{defn}

We now state the two theorems that we will prove.

\begin{theorem}\label{1st theorem}
Let $T$ be an empty lattice tetrahedron. Then there is an affine unimodular map $L$ such that $L(T)= T_{a,b,c}$, with $0\leq a,b <c$ and
$\gcd(a,c)=\gcd(b,c)=\gcd(d,c)=1$.
\end{theorem}

\begin{theorem}[White]\label{2nd theorem} The lattice tetrahedron $T_{a,b,c}$ is empty if and only if $\gcd(a,c)=\gcd(b,c)=\gcd(d,c)=1$ and at least one of the following hold:
$$a=1,b=1,c=1,d=1.$$
\end{theorem}

We now state definitions and background results that will be used to prove the two theorems.

\begin{defn}
A set of lattice points $\{ \vec{v}_1, \ldots, \vec{v}_k \}$ in $\Z^n$ is said to be \emph{primitive} if it is a basis for the sublattice
$\Z^n \cap ( \R\vec{v}_1 \oplus \dots \oplus \R \vec{v}_k)$. Geometrically, this means that $\{ \vec{v}_1, \ldots, \vec{v}_k \}$ is primitive if and only if the
parallelepiped spanned by $\vec{v}_1, \ldots, \vec{v}_k $ is empty.
\end{defn}

The following is a list of standard results we will use. The proofs can be found in~\cite[Lectures V, VIII]{Sie}. However, we have rephrased some of the statements. Consequently the reader who consults~\cite{Sie} may need to read the relevant material carefully.

\begin{theorem}\label{background1} Every lattice has an integral basis.\end{theorem}

\begin{theorem}\label{background2} The property of being a lattice basis is preserved under the action of any unimodular transformation, that is, if $\vec{v}_1,\vec{v}_2,\ldots, \vec{v}_n$
is a basis for $\Z^n$ and $T:\R^n \rightarrow \R^n$ is an unimodular transformation, then $T\left(\vec{v}_1\right),T\left(\vec{v}_2\right),\ldots, T\left(\vec{v}_n\right)$ is also
a basis of $\Z^n$. Furthermore, given two lattice bases there is an unimodular transformation that maps one basis into the other.
\end{theorem}

\begin{theorem} \label{background3} Let $\{\vec{v}_1, \ldots, \vec{v}_n\}$ be a linearly independent set of elements of $\Z^n$, and let $H=\Z\vec{v}_1\oplus \ldots \oplus \Z\vec{v}_n$.
Then the order of the quotient group $\Z^n/H$  equals
$$ \#(\Z^n/H) = |\det(\vec{v}_1, \ldots, \vec{v}_n)|.$$
\end{theorem}

\begin{theorem}\label{background4} Let $\{\vec{v}_1, \ldots, \vec{v}_r\}$ be a primitive set of $\Z^n$. Then $\{\vec{v}_1, \ldots, \vec{v}_r\}$ can be extended to a basis of $\Z^n$.
\end{theorem}

We mention an interesting fact that emerges in the course of proving White's theorem. From Theorem~\ref{background3} it follows that if $T_{a,b,c}$ is empty, then the parallelepiped spanned by $(1,0,0),$ $(0,1,0),$ $(a,b,c)$ contains $(c-1)$
lattice points in its interior. In the course of proving Theorem~\ref{2nd theorem} we will find that \emph{all of these points are coplanar}! More precisely, we have the following.

\begin{cor}\label{coplanar}
Let $P_{a,b,c}$ denote the parallelepiped spanned by $(1,0,0),$ $(0,1,0)$ and $(a,b,c)$. If $T_{a,b,c}$ is empty, then $P_{a,b,c}$ contains $(c-1)$ lattice points in its interior. If $a=1$, then all of these lattice points lie on the plane $x=1$; if $b=1$, then all of these lattice points lie on the plane $y=1$; if $d=1$, then all of these lattice points lie on the plane $x+y-z=1$.
\end{cor}

\noindent {\bf Warning:} The co-planarity of these lattice points was mentioned in an article of the first author~\cite[Theorem 3.2]{Kh}. Unfortunately the description of the planes in~\cite{Kh} is completely incorrect! The author should have done his homework and not just relied on his faulty visualization skills!!

\noindent {\bf Acknowledgements.} This article is a variant of an earlier manuscript drafted and submitted in the early 1990's. It was written in collaboration with Therese Hart who did the initial calculations that led us to discover White's result. We withdrew the article after discovering that White had anticipated our main discovery three decades previously. We would like to
express our gratitude to Mel Nathanson who encouraged us to write this expository piece.

\section{Proofs}

We begin with some notation. Let $\vec{u}= (u_1,u_2,u_3) \in \Z^3$. We will denote the integer $\gcd(u_1,u_2,u_3)$ by $\gcd(\vec{u})$. Occasionally we will use $e_1,e_2$ and $e_3$ to denote the vectors $(1,0,0)$, $(0,1,0)$, and $(0,0,1)$.

\begin{proposition}\label{useful prop}
Let $\vec{u}, \vec{v}$ be two linearly independent elements in $\Z^3$. The following statements are equivalent.
\begin{enumerate}

\item P, the parallelogram spanned by $\vec{u}$ and $\vec{v}$ is an empty parallelogram.

\item T, The triangle spanned by $\vec{u}$ and $\vec{v}$ is an empty triangle.

\item $\gcd(\vec{u} \times \vec{v})=1$.
\end{enumerate}
\end{proposition}

\begin{proof}
Clearly (1) $\Rightarrow$ (2). We prove the contrapositive to demonstrate that (2) $\Rightarrow$ (1). We assume that $P$ contains a lattice point $\vec{x}$ that is not a vertex of $P$.
Then either $\vec{x}$ or $(\vec{u}+\vec{v}-\vec{x})$ lies in $T$. Since neither lattice point can be a vertex of $T$, we conclude that $T$ is not an empty triangle.

We now turn to proving that (1) and (3) are equivalent.

(3) $\Rightarrow$ (1): Since $\gcd(\vec{u}\times\vec{v}) =1$, there exists, by the Extended Euclidean algorithm, $\vec{w}\in \Z^3$
such that $(\vec{u}\times\vec{v})\cdot \vec{w} =1 = \det(\vec{u},\vec{v},\vec{w})$.
By Theorem~\ref{background3}, $\vec{u},\vec{v},\vec{w}$ is a basis of $\Z^3$,
and consequently they span an empty parallelepiped. We conclude that $P$ is an empty parallelogram.

(1) $\Rightarrow$ (3): Since $P$ is an empty parallelogram, $\{\vec{u}, \vec{v}\}$ is a primitive set of $\Z^3$, and consequently by Theorem~\ref{background4} there is a lattice point
$\vec{w}$ such that $\vec{u},\vec{v},\vec{w}$ is a basis of $\Z^3$. Consequently $|\det(\vec{u},\vec{v},\vec{w})|=1$. Since
$\det(\vec{u},\vec{v},\vec{w}) = (\vec{u}\times\vec{v})\cdot \vec{w}$, we conclude that $\gcd(\vec{u}\times \vec{v}) =1$.
\end{proof}

\begin{cor}\label{clean-tet}
The tetrahedron $T_{a,b,c}$ is clean if and only if $\gcd(a,c)=\gcd(b,c)=\gcd(d,c)=1$.
\end{cor}

\begin{proof} Let $\triangle_1,\triangle_2,\triangle_3,\triangle_4$ denote the faces of $T_{a,b,c}$ where $\triangle_1$ is the triangle spanned by $e_1$ and $e_2$; $\triangle_2$ is the triangle spanned by $e_1$ and $(a,b,c)$; $\triangle_3$ is the triangle spanned by $e_2$ and $(a,b,c)$; and $\triangle_4$ is the triangle spanned by $(e_2-e_1)$ and $((a,b,c)-e_1)$. $T_{a,b,c}$ is a clean tetrahedron if and only if $\triangle_1,\triangle_2,\triangle_3$ and $\triangle_4$ are all empty lattice triangles. Clearly $\triangle_1$ is an empty triangle. By
Proposition~\ref{useful prop} the triangles $\triangle_2,\triangle_3,\triangle_4$ are empty if and only if
$$ \gcd(e_1\times (a,b,c))=\gcd(e_2 \times (a,b,c)) = \gcd((e_2-e_1)\times ((a,b,c)-e_1))=1,$$
that is, $\gcd(b,c)=\gcd(a,c)=\gcd(d,c)=1.$
\end{proof}

\begin{proof}[Proof of Theorem~\ref{1st theorem}]
Let $T$ be an empty lattice tetrahedron in $\R^3$. Without loss of generality we may assume that the origin is one of the vertices and the other 3 vertices are
$\vec{u}, \vec{v}$ and $\vec{w}$. Since the triangle spanned by $\vec{u}$ and $\vec{v}$ is empty, by Proposition ~\ref{useful prop}, the same holds for the parallelogram spanned by
$\vec{u}$ and $\vec{v}$. Therefore
$ \{\vec{u}, \vec{v} \} $ is a primitive set of $\Z^3$, and by Theorem~\ref{background4} can be extended to a basis of $\Z^3$, $\vec{u},\vec{v}, \vec{x}$. Now by Theorem~\ref{background2} we have a unimodular transformation $L_1$
such that $L_1(\vec{u})=e_1$, $L_2(\vec{v})=e_2$, and $L_3(\vec{x})=e_3$. Under this transformation we see that the tetrahedron $T$ is equivalent to the tetrahedron $T_1$ with vertices
$0, e_1, e_2$ and $(A,B,c)$ where $A,B,c \in \Z$ and $\textrm{vol}(T)=|c/6|$. If $c<0$ we can compose $L_1$ with the unimodular transformation
$$L_2((x,y,z))=(x,y,-z).$$
Consequently we can assume that $c >0$. We now use the division algorithm to express
$$A = q_1c + a \textrm{ and } B = q_2c +b, 0\leq a,b < c.$$
By acting on $T_1$ by the unimodular transformation $$L_3((x,y,z))=(x-q_1z,y-q_2z,z)$$
we get that $T$ is equivalent to the tetrahedron $T_2$ with vertices $0,e_1,e_2$ and $(a,b,c)$. Since $T_2$ is a clean tetrahedron we invoke Corollary~\ref{clean-tet}
 to conclude that $\gcd(a,c)=\gcd(b,c)=\gcd(d,c)=1.$
\end{proof}

We now turn to the proof of White's theorem. Our proof is arranged in four parts. These are as follows:
\begin{enumerate}
\item[Part 1:] We prove that the tetrahedron $T_{a,b,c}$ is empty if and only if a system of equations involving $a,b,d$ hold.
\item[Part 2:] This system of equations give an immediate proof of the $(\Leftarrow)$ direction of White's theorem.
\item[Part 3:] The proof of the $(\Rightarrow)$ direction of White's theorem is considerably more involved. We first develop a slight modification of the system of equations. This then leads
us to define a finite set of arithmetic functions $f_n$. We then state and prove certain properties of these functions.
\item[Part 4:] We use the properties of $f_n$ to complete the proof.
\end{enumerate}

We will invoke the following identity in several places
\begin{lemma}
Let $x\in \R$. If $x\not\in \Z$, then
\begin{equation}\label{eq:keyid}
\langle -x \rangle  =  1-\langle x \rangle.
\end{equation}
We will typically invoke this identity in the following form:
\begin{equation}\label{eq:keyidfrac}
\left\langle\frac{kl}{c}\right\rangle + \left\langle\frac{k(c-l)}{c}\right\rangle = 1
\end{equation}
for $0< l < c, \gcd(l,c)=1, \textrm{ and } k=1,\ldots, c-1.$
\end{lemma}

\begin{proposition}
Let $c\in \Z$ with $c>1$ and let $T_{a,b,c}$ be a clean lattice tetrahedron. Then, $T_{a,b,c}$ is empty if and only if
\begin{equation}\label{eq:sys-eq1}
\left \langle \frac{ka}{c} \right \rangle + \left \langle \frac{kb}{c} \right \rangle +\left \langle \frac{kd}{c} \right \rangle - \frac{k}{c} = 1
\end{equation}
holds for $k=1, \ldots, c-1$.
\end{proposition}

\begin{proof}[Proof of Part 1]
Let $P$ denote the parallelepiped spanned by $e_1, e_2$ and $(a,b,c)$. Since $\textrm{volume}(P)=c$ and the faces of $P$ are empty lattice parallelograms, we infer that $P$ contains $(c-1)$ lattice points in its interior. These lattice points are
\begin{equation}\label{eq:sys-eq-lat-pt}
\left\langle\frac{k(c-a)}{c}\right\rangle(1,0,0) + \left\langle\frac{k(c-b)}{c}\right\rangle(0,1,0) + \frac{k}{c} (a,b,c)
\end{equation}
with $k=1,\ldots,c-1$.

$T_{a,b,c}$ is empty if and only if
$$ 1 < \left\langle\frac{k(c-a)}{c}\right\rangle + \left\langle\frac{k(c-b)}{c}\right\rangle + \frac{k}{c} < 2,$$
for $k=1,\ldots, c-1.$
Some algebraic manipulation in conjunction with identity~\eqref{eq:keyid} gives the the system of inequalities
$$ 0 < \left\langle\frac{ka}{c}\right\rangle + \left\langle\frac{kb}{c}\right\rangle - \frac{k}{c} < 1,$$
for $k=1,\ldots, c-1.$ We now observe that
\begin{equation}
\left\langle\frac{ka}{c}\right\rangle + \left\langle\frac{kb}{c}\right\rangle - \frac{k}{c} \equiv \left\langle\frac{k(a +b-1)}{c}\right\rangle \pmod{\Z},
\end{equation}
for $k=1,\ldots, c-1.$ Since both sides of the congruence are between 0 and 1, we conclude that we have a system of \emph{equalities}
$$\left\langle\frac{ka}{c}\right\rangle + \left\langle\frac{kb}{c}\right\rangle - \frac{k}{c} = \left\langle\frac{k(a +b-1)}{c}\right\rangle,$$
for $k=1,\ldots, c-1.$ After a little more algebraic manipulation we conclude that $T_{a,b,c}$ is empty if and only if
$$ \left \langle \frac{ka}{c} \right \rangle + \left \langle \frac{kb}{c} \right \rangle +\left \langle \frac{kd}{c} \right \rangle - \frac{k}{c} = 1$$
for $k=1,\ldots,c-1$.
\end{proof}

We can now easily prove $(\Leftarrow)$ direction of White's theorem. The system of equations~\eqref{eq:sys-eq1} in conjunction with the system of
identities~\eqref{eq:keyidfrac} allow us to conclude that the following tetrahedra are empty.

\begin{cor}
Let $\gcd(a,c)=1$. Then the tetrahedra $T_{1,a,c}$ and $T_{a,c-a,c}$ are empty.
\end{cor}

To prove the $(\Rightarrow)$ direction of White's theorem we will work with a modification of~\eqref{eq:sys-eq1}. Define
a set of arithmetic functions $f_n$ for $n\in \Z^+, n < c$ and $\gcd(n,c)=1$,
$$f_n: \{1, \ldots, c-2 \} \rightarrow \{0,1\}$$
via
\begin{equation}
f_n(k) = \left \langle \frac{kn}{c} \right \rangle - \left \langle \frac{(k+1)n}{c} \right \rangle + \frac{n}{c} =\left[\frac{(k+1)n}{c}\right] - \left[\frac{kn}{c}\right].
\end{equation}

From~\eqref{eq:sys-eq1} we obtain the system of equations
\begin{equation}\label{eq:sys-eq2}
f_a(k)+f_b(k)+f_d(k) +\frac{1}{c} = \frac{a+b+d}{c},
\end{equation}
for $k=1,\ldots, c-2$. We now look at the case of $k=1$ in~\eqref{eq:sys-eq1} which shows that
$$\frac{a+b+d}{c}= 1+\frac{1}{c}.$$
Thus we can rewrite~\eqref{eq:sys-eq2} as the system of equations
\begin{equation}\label{eq:sys-eq3}
f_a(k)+f_b(k)+f_d(k) = 1,
\end{equation}
for $k=1,\ldots,c-2.$ We will work with this system~\eqref{eq:sys-eq3} in conjunction with the properties of $f_n$ to
arrive at a proof of White's theorem.

\begin{proposition}
The function $f_n$ has the following properties.
\begin{enumerate}
\item[(i)] $f_1^{-1}(\{1\}) =\emptyset.$
\item[(ii)] For $n >1$, $$f_n^{-1}(\{1\}) = \left\{ \,\left[kc/n \right] : k=1,\ldots, n-1 \right\}. $$
\item[(iii)] $f_{c-n} =1-f_n$.
\end{enumerate}
\end{proposition}

\begin{proof}
For $k=1,\ldots,c-2$,
$$f_1(k)= \left[\frac{k+1}{c}\right] - \left[\frac{k}{c}\right] = 0-0 = 0,$$
which proves (i).

We now prove statement (ii). If $l \in f_n^{-1}(\{1\})$ then there exists $k \in \Z^{+}$ such that
$$ \frac{ln}{c} < k < \frac{(l+1)n}{c}.$$
It follows that $l = [kc/n].$ Conversely, if $l = [kc/n]$ for some integer $k$, with $1 \leq k \leq n-1$, then
we have that
$$l < \frac{kc}{n} < l+1.$$
We now obtain that
$$ \frac{ln}{c} < k < \frac{(l+1)n}{c}$$
and consequently $l \in f_n^{-1}(\{1\})$.

Statement (iii) is a consequence of identity~\eqref{eq:keyidfrac}.
\begin{eqnarray*}
f_{c-n}(k) & = & \left \langle \frac{k(c-n)}{c} \right \rangle - \left \langle \frac{(k+1)(c-n)}{c} \right \rangle + \frac{c-n}{c} \\
& = & 1- \left \langle \frac{kn}{c} \right \rangle -1 + \left \langle \frac{(k+1)n}{c} \right \rangle + 1-\frac{n}{c} \\
& = & 1-f_n(k).
\end{eqnarray*}
\end{proof}

We now complete the proof of White's theorem.

\begin{proof}[Proof of Part 3]
Let $T_{a,b,c}$ be an empty tetrahedron with $c \ge 2$. We want to prove that either $a=1$ or $b=1$ or $d=1$. We will argue by contradiction. So we assume that $a,b,d\ge 2$. Consequently none of the sets
$f^{-1}_a(\{1\})$,  $f^{-1}_b(\{1\})$, $f^{-1}_d(\{1\})$ are empty. Since
$$ f_a + f_b + f_d =1,$$
can infer that $a,b$ and $d$ are distinct integers and the sets $$f_a^{-1}(\{1\}),  f_b^{-1}(\{1\}),f_d^{-1}(\{1\})$$
are pairwise disjoint. ({\bf Spoiler alert:} Our argument hinges crucially on the fact that $f_b^{-1}(\{1\})\cap f_d^{-1}(\{1\}) = \emptyset.$)
Without loss of generality we can assume that $a > b > d.$ It follows that $1 \in f_a^{-1}(\{1\})$, and consequently $1\not\in \left( f_b^{-1}(\{1\}) \cup f_d^{-1}(\{1\}) \right)$.
We now have that $$f_b + f_d = f_{c-a}$$ and consequently $$\left( f_b^{-1}(\{1\}) \cup f_d^{-1}(\{1\}) \right) = f_{c-a}^{-1}(\{1\}),$$ that is,
$$ \left\{ \,\left[kc/b \right] : k=1,\ldots, b-1 \right\} \cup \left\{ \,\left[kc/d \right] : k=1,\ldots, d-1 \right\} $$
$$=\left\{ \,\left[kc/(c-a) \right] : k=1,\ldots, (c-a-1) \right\}.$$
We now compare the smallest and largest elements in each of the 3 sets. Since $b > d \ge 2$ and $1\not\in f_{c-a}^{-1}(\{1\})$, we have that
$$2 \le \left[\frac{c}{c-a} \right] = \left[ \frac{c}{b} \right] < \left[ \frac{c}{d} \right] \le  \left[ \frac{(d-1)c}{d} \right] <
\left[ \frac{(b-1)c}{b} \right] = \left[ \frac{(c-a-1)c}{c-a} \right].$$
We remark that the strict inequalities occur since
$$f_b^{-1}(\{1\})\cap f_d^{-1}(\{1\}) = \emptyset.$$

Let $s$ be the positive integer such that
$$\left[ \frac{c}{d} \right] = \left[ \frac{sc}{c-a} \right].$$
We now obtain that
$$\left[ \frac{(s-1)c}{c-a} \right] = \left[ \frac{(s-1)c}{b} \right] \textrm{ and } \left[ \frac{(s+1)c}{c-a} \right] \le \left[ \frac{sc}{b} \right].$$
Combining these two observations we get
$$\left[ \frac{(s+1)c}{c-a} \right] - \left[ \frac{(s-1)c}{c-a} \right] \le \left[ \frac{sc}{b} \right] - \left[ \frac{(s-1)c}{b} \right],$$
which implies the inequality
$$ 2\left[ \frac{c}{c-a} \right] \le \left[ \frac{c}{b} \right] +1.$$
This leads to the contradiction that
$$ \left[ \frac{c}{c-a} \right] \le 1,$$
and consequently our assumption that $a,b,d \ge 2$ is false.
\end{proof}

\begin{proof}[Proof of Corollary~\ref{coplanar}] Let $T_{a,b,c}$ be empty, with $c>1$. By Theorem~\ref{2nd theorem} we have that either $a=1$ or $b=1$ or $b=c-a$.
If $a=1$, then by replacing $a$ by 1 in~\eqref{eq:sys-eq-lat-pt} we see that the $x$ co-ordinate of each lattice point inside $P_{1,b,c}$ equals 1. The same argument works if $b=1$. The
only case that needs a little more work is if $b=c-a$. In this case~\eqref{eq:sys-eq-lat-pt} becomes
\begin{equation}
\left\langle\frac{k(c-a)}{c}\right\rangle(1,0,0) + \left\langle\frac{ka}{c}\right\rangle(0,1,0) + \frac{k}{c} (a,c-a,c).
\end{equation}
If we now add the $x$ and $y$ co-ordinates and subtract the $z$ co-ordinate we get
$$\left\langle\frac{k(c-a)}{c}\right\rangle + \left\langle\frac{ka}{c}\right\rangle + \frac{ka}{c} +\frac{k(c-a)}{c}-k = \left\langle\frac{k(c-a)}{c}\right\rangle + \left\langle\frac{ka}{c}\right\rangle.$$
We now invoke the identities~\eqref{eq:keyidfrac} to conclude that the RHS equals 1.
\end{proof}

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Home » Browse » Newspapers » U.S. Newspapers » THE JOURNAL RECORD » Article details, "`Deconstruction' Offers Low Prices on House Items"
HINSDALE, Ill. _ In an otherwise manicured neighborhood in an affluent Chicago suburb, one house was the scene of chaos: vehicles parked haphazardly, people tramping across the lawn, pulling up lilies and dragging off shrubs.
The commotion was worse inside, where the writing was literally on the walls: "Let's Keep It Out Of Da Landfills."
Jodi and Patrick Murphy were responsible for the mess. For a percentage, their Murco Recycling will auction off anything in a structure scheduled for demolition.
At the Murphys' behest, a crowd of people will come and tear out plumbing and light fixtures, pry off wood paneling, and even carry away the flagstones outside _ all at bargain-basement prices.
The Hinsdale house, which neighbors said had been up for sale for about $600,000, was being torn down to open the lot for a more expensive home.
Jenny Smith of south Hinsdale said she had been to many other Murco events.
"I came when I was nine months pregnant and pulled up an oak floor," she said.
"We built our whole house through these guys," said Smith's husband, David, adding that they got it all at 10 to 25 cents on the dollar.
John Shea of Chicago stopped in at the recent event, not to buy, but to sell a set of stained-glassed windows.


text:
Pteraster octaster is een zeester uit de familie Pterasteridae.

De wetenschappelijke naam van de soort werd in 1909 gepubliceerd door Addison Emery Verrill.

Velatida

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Ghost Ensemble began in 2012, dedicated to new perspectives that explore the experience of listening. The music we create and perform realizes a wide spectrum of sonic spaces and engages performance practices between and beyond improvisation and fully measured notation; the common thread is an aim to shift our attention, perception, or experience of time.
The Essential Indexical: Late MMXVII
After sorting through quite a few recordings from the last third of 2017, we're thrilled to release a compilation of some of the most unique and memorable tracks, with always-glorious artwork by Mustafa Walker.
The Essential Indexical: Mid MMXVII
Indexical announces The Essential Indexical: Mid MMXVII, a compilation of two hours of live and live-in-studio recordings of experimental and new chamber music from Santa Cruz, California. Mid MMXVII spans genres and disciplines, from compositions recorded by the New York-based Mivos Quartet to live electronic sets of atmospheric work by Samson Stilwell and Ashley Bellouin & Ben Bracken, to Weston Olencki's multi-part piece for five-string bass duo Bass2Bass.
We're thrilled to announce a new series of limited-edition lathe-cut records, single sided, with performances on Side A and screen-printed designs by Mustafa Walker on Side B. The first release is Larry Polansky's Piano Study #5, for just intonation Fender Rhodes, performed by Andrew C. Smith and engineered by David Dunn, with a screen-printed tuning lattice showing through a transparent record.
The Essential Indexical: Early MMXVII
Experimental music is not just about producing a couple high-profile concerts. It's about the scene. Representing the community through documentation and recorded material is always difficult, but over 10 concerts in the last 5 months, we've accumulated such a wealth of recorded material that we can't help but spend time polishing it and making it available.
Listening Through 2016
Throughout 2016, Indexical presented a dozen events at Radius Gallery (Santa Cruz), The Invisible Dog Art Center (Brooklyn), and
Happy Valley Band: ORGANVM PERCEPTVS
12" LP + Print Booklet + Digital Download
The Happy Valley Band is the Great American Songbook heard through the ear of a machine. Composer / bandleader David Kant uses custom-built machine learning software to "unmix" pop songs and transcribe them back into musical notation. The Happy Valley Band plays what comes out. The machine analysis has no concern for the limits of human performance, and the resulting transcriptions are extremely complex, literal, and often impossible to play. ORGANVM PERCEPTVS, the group's debut album, is about bringing to life this inhuman music. It features the core Happy Valley Band plus a cast of New York City and Bay Area experimental musicians.
Lightbulb Ensemble & Ghost Ensemble Live at Pioneer Works
From a live performance on Oct. 30, 2015, at Pioneer Works in Red Hook, Brooklyn. The Oakland-based Lightbulb Ensemble's process-based minimalism takes inspiration from the sounds and structures of Balinese gamelan, moving it in a new direction. NYC-based Ghost Ensemble was formed to perform their own music and the music of Pauline Oliveros, and focuses on creating meditative experiences.
12" double-LP in letterpressed foldover packaging (edition of 500) + Digital Download
Index 0 showcases new work for strings, piano, and electronics from six young American composers: Elizabeth Adams, Jack Callahan, Stephanie Huguenin, Beau Sievers, Andrew C. Smith, and K.C.M. Walker. Their compositions are performed by avant-garde violin duo String Noise (Conrad Harris and Pauline Kim Harris) with violist Dov Scheindlin (Orpheus Chamber Orchestra, Arditti Quartet) and cellist Brian Snow (Newspeak, Proteus Ensemble).

redpajama_set_name: RedPajamaCommonCrawl


Four Flipsiders made the trip to Alor Setar for the Kedah Century Ride. Everyone's bikes were loaded into Keat's truck. Mark's Tommasini, Keat's Scott, Marco's Hasa, and my Ritchey. Marco and Mark handled driving duties during the 450km trip from Kuala Lumpur to Alor Setar.
My biker chick was a student at Universiti Utara Malaysia in Sintok, which is about 50 kms from Alor Setar. When I told her I was riding in Alor Setar, she made plans to meet up with some of her university mates who now live and work in the area. She and I decided to fly rather than drive.
Coincidentally we arrived at the hotel just as the guys were unloading the truck. Once we were checked in and the bikes were safely stored in our rooms, we went looking for food. The road-trippers hadn't had lunch yet.
We didn't have anything particular in mind, so we explored along Jalan Anak Bukit. This roadside stall on the corner of Jalan Madrasah caught our attention.
I ate lunch before I boarded the flight, but the food looked too good to pass up. Everyone agreed that this was some of the best tandoori chicken, naan and chapati we had ever eaten.
With blood sugar levels restored, we went to the TH Hotel and Convention Centre to collect our goodie bags.
We bumped into cycling friends, as always happens when collecting ride packs. This time it was a group of Tyrell small wheel bike riders from Van's Urban Bicycle Co. Cindy and William joined Mark and I to check out what swag came along with our ride numbers.
This goodie bag was better than some we have received in the past. The jersey design for this ride was also one of the nicer ones. Perhaps influenced by Garmin as one of the sponsors.
We noticed this place on the way to collect our goodie bags. There were a number of road bikes leaning against trees and posts.
So no surprise that we were back there a few hours later for dinner. There were a number of stalls under one roof, but Ameer Nasi Briyani was the only stall with a queue of at least a dozen people waiting to chose their food. That queue got longer and longer while we were there.
And no wonder. The food was very good. And cheap. My plate of briyani rice, fried chicken, chicken livers and half a salted egg cost me RM8 / USD2.20.
The next morning we rode the 10 km or so to the start of the ride at the Paddy Museum.
The Tyrell riders were there too, resplendent in their Knog jerseys.
As is often the case, we started late. I do wish that event organisers and the dignitaries invited to officially flag-off these events would be on time. Participants waste time waiting in the dark, and both riders and volunteers spend more time than necessary in the midday heat.
We got away about 25 minutes late. Cindy and Dicky were just in front of the Flipsiders, who were in their customary position at the very rear of the group.
The route was a clockwise loop.
As advertised, much of it was as flat as a pancake, despite the hills in the background.
We headed south through Pendang and to the first water stop after 50 kms at Bukit Jenun. Much of that distance was spent riding in a group with these guys on their vintage Panasonics and Pinarellos. Complete with drilled brake levers and downtube shifters.
The Nord Vintage Cyclismos pulled over at the water stop. Mark was already there, and he rejoined Keat, Marco and I as we rode through the water stop.
By the 80 kms mark we need to eat. Mark spotted a food stall in Bedong, which conveniently was near a 7-11. Marco, Mark and Keat ate at the stall while I drank chocolate milk and ate a candy bar from the 7-11.
Bedong was where the route turned right toward the coast. 5 kms later we rode up to the second water stop. Team Tyrell Knog's support van was there, so we stopped and chatted and took advantage of their supply of ice-cold water.
There were some short climbs in the middle third of the ride. The steepest came within sight of the sea as the route swung north along the coast. The last of the three climbs at Tanjung Jaga.
After that it was flat riding through the paddy fields.
By the last third of the ride people were starting to wilt. It was 36° C / 97° F with a heat index of 45° C / 113° F.
The constant wind didn't help. Mark and I were trading pulls, but my efforts were becoming shorter and shorter as I overheated.
There is very little along the road from Tanjung Jaga apart from rice fields. After 10 kms we came across a Caltex station. We were looking for cold drinks, but the chiller in the small shop wasn't working. So we made do with dousing ourselves with water to help with evaporative cooling.
At 120 kms we came across two rows of shophouses. All the shops were closed except for a couple of car workshop, and thank goodness, the Mahsuri Mini Market.
My key purchase was a bag of ice cubes. I wrapped some cubes in my bandanna and put the bundle on the back of my neck. Some cubes went under my skull cap. Some went into the middle pocket on the back of my jersey. And some went into my bidons.
I should have bought ice at the 7-11 in Bedong. I was amazed at how much better I felt. More importantly I was able to take reasonable pulls into the the wind again.
We grabbed a bottle of water as we rode through the last water station at 125 kms. One of the impressive things about this event was that all the water stations were still well-stocked when we rode through. The last station still had bananas on offer.
My bottle of water went straight onto my arm screens and down the front of my jersey. Which only delayed the inevitable. 25 kms further on all the ice had melted and I was heating up again. Mark needed a break as well so we pulled into the Petronas station at Teluk Kechai and sat in the shade of the forecourt canopy for 10 minutes.
15 kms to go. The headwind kept on blowing, so we put our heads down and pushed on.
There was one last surprise. The Tok Pasai bridge over the Kedah river. It was one climb too many for a rider in front of us, who literally ground to a halt and fell over. Fortunately not into the roadway.
The view looking out to sea from the middle of the bridge is worth the effort to get there.
The speedy descent off the bridge would have been more fun without the sharp right turn at the bottom. The marshalling at that turn was excellent. A particular highlight of this event was how well all road junctions, corners and turn offs were manned with volunteers to ensure that riders stayed on course.
I could have used this additional service from the volunteers over the last 10 kilometres.
Team Tyrell Knog riders finished safely. Anyone who completes a century ride on a small wheel bike deserves a medal.
Keat finished with a smile.
Cindy and I were just glad to be in the shade. I was especially glad to take my shoes off and to work on drinking as much as I could of the 1 litre bottle of ice-cold 100 Plus the organisers handed out at the finish. There was food as well, but all I want at the end of a hot ride is cold fluid.
My Flipside companions and I eventually got back on our bikes for the 13 kms ride back to our hotel. 180 kms and change in total for all of us.
Posted in Cycling in Malaysia and tagged Alor Setar, Heat, Ice, Kedah Century Ride 2015, Wind. Bookmark the permalink.


One of my goals for the new year was to give each room in the house a thorough cleaning – walls washed, nail holes filled, drapes freshened up (I like to do this once a decade whether things need it or not!!) – and I am coming along I must say! But at the end of a long day the last thing I feel like doing is teetering on a step stool with a wet rag and a bucket of murky water!!
I have found taking it one room at a time and not getting ahead of myself to be most helpful to me. Often my thoughts will get away from me and make something into a bigger job than need be. So I go one step at a time and quit when I am tired. I have not needed to give up my nighttime reading or WWF and I still purposely schedule my massage…after all of the cleaning my shoulders can really use it!!
You may remember last month's article which defined a trigger point as a taut muscle that has a predictable, radiating pain pattern. Well clinical observation confirms that many headaches originate in trigger points in the neck muscles. These headaches can be reduced and even eliminated by resolving cervical (neck) trigger points!
Many people walk and sit with their heads in front of their body. When you are out and about next time watch people from the side. You will find that their ears are often completely in front of their shoulders. This positioning may not be an issue at first, but over time can build up neck tension that can result in head pain (ie headaches).
Treatment of these muscles is easy and does not have to require deep pressure – you are probably catching on by now that deep tissue massage is not the only or always the best type of massage therapy for relief.
Additionally, a massage therapy session places you in a position to relax, allow someone else to handle things, and have someone think about you for an hour…and in today's world that is a rarity!
The scalenes are known for their ability to refer pain.
They function to hold up the ribcage and to tilt the head side to side, as if saying "I don't know." Sometimes the body uses them in breathing which can create a lot of muscles tightness and pain.
You may have heard of the term "thoracic outlet"? It is the area defined by the scalenes and the first rib. The axillary artery and the brachial plexus (brachial and radial nerves that go down the arm) weave in and out of the scalenes and if the scalenes are tight or not moving properly they can entrap these arteries and nerves creating pain that runs over the shoulder, across the upper chest and all the way down the arm and into the wrist.
You may be wondering at this point about Carpal Tunnel Syndrome. Yes, it is related. Actually the clinical name for Carpal Tunnel Syndrome is Thoracic Outlet Syndrome!
Could checking in with a therapeutic massage therapist be a non-invasive way to see if you would achieve a reduction in wrist and arm pain? You bet! To be effective you need focus on the mentioned areas. You would need an anatomically savvy therapist who will sit down on a stool next to your head and work on this area for the duration of your session. One or two swipes over the skin in the neck area with some great smelling massage oil is not what your going for here! And if it is hard to pass up the chance to get someone to rub your back, consider 2 30 min appointments – one for the neck issue and a second one with more of a relaxation focus. This way you and your therapist are able to focus on the pain issue making sure it is addressed.
I continuously to look for ways to offer massage so you feel and live healthier.


Below is some information that will be beneficial for your first and future visits.
Please complete to the best of your ability and if you have any questions we will be glad to assist you.
1. Please be sure to bring your DRIVERS LICENSE and INSURANCE card!
2. Please arrive approximately 15 min before your appointment time in order to fill out your paperwork. You may also download the paperwork from the link above and either fax it in or bring it with you on your first visit.
3. Please wear comfortable clothes and shoes for your evaluation and all future visits.
4. Your evaluation will last approximately one hour and your visits will be 1-1.5 hours depending on your plan of care. However, if you are in need of a shorter visit, please let our therapists know and we will be glad to accommodate your needs.
1. Bring comfortable clothing to wear in the pool. You may wear a bathing suit or a t-shirt and shorts depending on your preference. You may also want to wear water shoes or footwear with a non-slip bottom as our pool has a concrete bottom.
2. Please bring your own towel and anything that you may need following your session (blow dryer, shampoo, dry clothing). Our changing room does have a shower if needed.
3. Do not be afraid! The pool depth is 4.5 feet and we have hand rails getting into the pool. Also, the temperature is generally around 90 degrees.


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text:
Q: What is difference between php strip_tags and filter_var function? They both seems to stripe out html,javascript tags. So when to use which?
I have tried both like
<?php

$user_input = "<script>alert('Your site sucks!');</script>";

echo strip_tags($user_input);

?>

And
<?php

$user_input = "<script>alert('Your site sucks!');</script>";

echo filter_var($user_input, FILTER_SANITIZE_STRIPPED);

?>

A: strip_tags strictly filters all html and php tags from a given string.
filter_var filters out based on multiple different flags that you can provide.
It does not rectify a string, but it validates it instead
IE: if you use filter_var with flag: FILTER_VALIDATE_EMAIL, if you give it a valid email address, it will return it as it is, while an invalid email will return false

A: strip_tags() does just that. According to PHP documentation it:

strips HTML and PHP tags from a string

filter_var() gives you a bit more to work with as you can use different filters with it i.e. FILTER_SANITIZE_EMAIL will sanitize the string to return a valid email.
In terms difference between strip_tags and filter_var with FILTER_SANITIZE_STRIPPED specifically strip_tags will allow less than symbol and filter_var with FILTER_SANITIZE_STRIPPED will remove it.
I.e.:
strip_tags("testing < practice") will return "testing < practice"
filter_var("testing < practice", FILTER_SANITIZE_STRIPPED) will return "testing "

A: Strip_tags allows you the option to define tags which you may want unstripped while filter_var sanitize doesn't.

redpajama_set_name: RedPajamaStackExchange


Shares of Under Armour Inc. (UAA) is currently trading up 23% on Tuesday morning after the sports-apparel company's third quarter results topped Wall Street estimates and it also raised profit outlook for the full year.
Baltimore, Maryland-based Under Armour's third quarter profit rose to $75.3 million or $0.17 per share from $54.2 million or $0.12 per share last year.
Adjusted earnings for the quarter were $112 million or $0.25 per share. Analysts polled by Thomson Reuters expected earnings of $0.12 per share for the quarter. Analysts estimates' typically exclude one-time items.
The company's revenues rose 2% to $1.44 billion from $1.41 billion last year. Analysts had expected revenues of $1.42 billion for the quarter.
"Our third quarter results demonstrate that our multi-year transformation is on track," said CEO Kevin Plank. "As we work through this chapter, we are staying sharply focused on our brand by connecting even more deeply with our consumers while delivering industry-leading, innovative products and premium experiences."
North America revenues decreased 2% to $1.1 billion and the international business increased 15% to $351 million, representing 24 percent of total revenue. Its strongest geographical segment was Latin America, followed by Europe, the Middle East and Africa and Asia-Pacific.
Gross margin, or gross profit as a percentage of sales, increased 10 basis points to 46.1%.
Under Armour raised its adjusted earnings guidance for 2018 to $0.19 to $0.22 per share from previous outlook of $0.16 to $0.19 per share.
Revenue for the full year is expected to increase about 3 to 4 percent reflecting a low single-digit decline in North America and international growth of about 25 percent.
Analysts currently expect earnings of $0.17 per share on revenue growth of 4.0 percent to $5.18 billion for the year.
UAA is currently trading at $22.43, up $4.24 or 23.31%, on the NYSE.


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This software will disable hibernation when it is not necessary.
When the system resumes, hibernate will execute a command of your choice.
A program for disabling or enabling the hibernate option in Windows.
Witch's Wake is the first chapter of a campaign made by BioWare.
The Computer Alarm Clock that even delivers the news!
Is able to remotely switch on every device in a network you are connected to.
Automatically turns off your computer whenever you like.
Auto StandBy Pro can automate shutdown, sleep, hibernate, etc.
Wake my PC is a free simple utility enabling you to wake your computers remotely.
It will place 3 shortcut icons on your desktop Shutdown, Restart, and Hibernate.
Alarm / Reminder / Scheduler with hibernate and suspend resume.


text:
Organic Farming Fights Climate Change
If you're like a majority of your fellow Americans, climate change is something you're concerned about. And whether you know it or not, all that delicious, fresh, healthy organic produce you put into your shopping cart (whether online or in-store) is helping fight climate change. Well…at least the dirt it's grown in is. See, it's all about the benefits of robust, healthy soil, above and beyond even all that delicious organic food it produces. Organic farming has always been regenerative: organic soils get richer, healthier, and more productive the longer they're farmed organically. Any of our farmers will be happy to tell you how true this is. Earthbound Farmer Stan Pura illustrated the point by talking about some of the ranches that we converted to organic in the early days "that were somewhat marginal in the beginning are so much more forgiving today because we've been building the soil health for two and a half decades."
The thing is, we love to eat. We need to eat. But agriculture is one of the major contributors to climate change. However, it can also be a source of mitigation. See, organic agriculture reverses climate change by pulling carbon out of the air and returning it to the soil. Research from the Rodale Institute Farming Systems Trial, the longest running, side-by-side comparison of conventional and organic agriculture, shows that, "If only 10,000 medium sized farms in the U.S. converted to organic production, they would store so much carbon in the soil that it would be equivalent to taking 1,174,400 cars off the road, or reducing car miles driven by 14.62 billion miles." In short, organic farming practices generally contribute to healthier soil, which leads to less carbon dioxide in the atmosphere, slowing climate change.
How is that possible? It starts with something you may remember learning about in elementary or middle school: photosynthesis. In brief, people and animals breathe in oxygen and breathe out carbon dioxide. Plants take in that carbon dioxide and transform some of it into oxygen, releasing it back into the atmosphere for people and animals to breathe back in. The remaining carbon, however, stays in the plant tissue. When the plants die and decompose, the stored carbon goes into the soil. This is called "carbon sequestration," and it contributes to the overall "soil organic matter," or SOM.
Farming operations such as hydroponic, aquaponic, indoor greenhouses, and vertical farms can't store any carbon in their soil because, well, they don't have soil!
Photosynthesis and carbon sequestration happen whether the farm is certified organic or not. However, through organic farming and ranching practices, we can increase the speed and length of carbon sequestration, reducing the overall levels of carbon dioxide in the atmosphere.
Think of organic farming as feeding the soil and caring for it, instead of depleting it. All of these practices add beneficial nutrients and natural organic matter to the soil, create a thriving environment for helpful bacteria and microbes, and make the soil more capable of storing carbon long-term. So when you choose organic, you're supporting a farming system that that's planet positive in so many ways.
Luscious Little Gems
A Simple Gift Guide for Salad Lovers and Other Kitchen Creators


Nan C. Robertson is a Correspondent for the New York Times with four videos in the C-SPAN Video Library; the first appearance was a 1989 Forum. The year with the highest average number of views per program was 2009 with an average of 2,745 views per program. Most appearances with Mary McGrory (2).


Barker Professor of Economics Stephen A. Marglin '59, a Marxist, laughably promises to "provide a more balanced approach" to Ec 10 than the conservative Keynesian (or moderate Republican) Baker Professor of Economics Martin S. Feldstein '61 (News, "Petition Argues For Alternative to Ec 10 Course", March 3). And yet the Crimson reports this completely uncritically, never raising the question (except obliquely via a quote from University President Lawrence H. Summers) Marglin's own potential bias. I would have thought that Marglin's Marxist credentials merit a mention in this context. I also note that your reporter sadly failed to find even one Ec 10 student for comment who is not a Students for a Humane And Responsible Economics activist and petitioner on behalf of Marglin's alternative.
The writer is F. A. Hayek Professor of Economic History at the University of Missouri, St. Louis.


This is a list of companies based in or registered in Canada. Sole traders are not listed here.
1055630 ONTARIO INC. 2 BEWDLEY STREET, EVESHAM WORCESTERSHIRE 1055630 ONTARIO INC. was formed 11 years ago. The nature of its business is not available (no SIC code set). The company seems to be no longer trading or is non compliant.
AFFERRO MINING INC. V6C 1K4, CANADA AFFERRO MINING INC. was formed 20 years ago. The nature of its business is not available (no SIC code set). The company seems to be no longer trading or is non compliant.
ATCO NOISE MANAGEMENT LTD. ALBERTA, T2E 5T1 ATCO NOISE MANAGEMENT was formed 21 years ago. The nature of its business is not available (no SIC code set). The company seems to be no longer trading or is non compliant.
AXIOM PHOTOGRAPHIC EDMONTON, ALBERTA T55 1L3 AXIOM PHOTOGRAPHIC was formed 6 years ago. The nature of its business is not available (no SIC code set). The company seems to be no longer trading or is non compliant.
REGAL CRESTING , Prince Edward Island REGAL CRESTING was formed 8 years ago. We do not have information about what type of business this is. The company seems to be no longer trading or is non compliant.
CANADIAN BANK NOTE COMPANY, LIMITED 164-180 UNION STREET, LONDON CANADIAN BANK NOTE COMPANY, was formed 11 years ago. The nature of its business is not available (no SIC code set). The company seems to be no longer trading or is non compliant.
CANADIAN ENVOY TECHNOLOGY SERVICES LIMITED VANCOUVER, BC V6B 2S8 CANADIAN ENVOY TECHNOLOGY SERVICES was formed 10 years ago. The nature of its business is not available (no SIC code set). The company seems to be no longer trading or is non compliant.
CBL DATA RECOVERY MARKHAM, ONTARIO TORONTO L3R 8N2 CBL DATA RECOVERY was formed 8 years ago. The nature of its business is not available (no SIC code set). The company seems to be no longer trading or is non compliant.


ISIS militants captured a Jordanian pilot Wednesday after his plane crashed in Syria while carrying out an airstrike, making him the first allied fighter to fall into the extremists' hands since an international bombing campaign was launched against the terror group.
Images of the pilot – naked from the waist down – being hauled from a lake and hustled away by gloating jihadis laid bare the terrifying risks facing US, Arab and European allies in the air war.
And the pilot's capture presented a nightmare scenario for Jordan, which vowed to continue the fight against the murderous Islamists, who have overrun large swaths of Syria and Iraq and released sickening videos of beheadings of US and other foreign captives.
The cause of the crash was not immediately known, but US military brass insisted the plane was not shot down as ISIS had claimed.
"Evidence clearly indicates that ISIS did not down the aircraft as the terrorist organization is claiming," Central Command said in a statement.
US Army Gen. Lloyd J. Austin III, who heads coalition military operations in Iraq and Syria, condemned the pilot's capture.
"We will support efforts to ensure his safe recovery and will not tolerate ISIS's attempts to misrepresent or exploit this unfortunate aircraft crash for their own purposes," Austin said.
A coalition official said the pilot was in an F-16 fighter and was able to safely eject.
ISIS is armed with Russian-made Igla anti-aircraft missiles, a shoulder-fired weapon that has long been part of the Syrian and Iraqi military arsenals.
The warplane went down near the northern Syrian city of Raqqa, the de facto ISIS capital.
Images showed the pilot – identified by Jordan as 1st Lt. Mu'ath Safi al-Kaseasbeh – surrounded by more than a dozen of the vicious terrorists, some of them masked.
The US and its Arab allies have been striking ISIS targets since the summer, aiming to push the jihadis back and regain control of the territory they have seized.
The barbarians have beheaded dozens of Syrian soldiers they captured around the country, and have also beheaded three Americans and two Brits.
In Iraq, it has shot down at least one Iraqi military helicopter, and the pilots died in the crash.
Jordan said that the pilot was taken hostage by ISIS and that the group and those who support it will be held responsible for his safety.
ISIS is likely to try to target other planes, said military analyst Hisham Jaber, a retired brigadier general in the Lebanese military.
"Inevitably, they will take down more," Jaber said.
Anti-aircraft weapons, he said, require little training or expertise to employ and that aircraft flown by Arab countries are easier targets since they have less technology to avoid guided missiles.
Also Wednesday, a suicide bomber infiltrated a group of pro-government Sunni militiamen at a military base south of Baghdad as they gathered to collect their paychecks.
The bomber detonated his explosives, killing at least 24 militiamen and soldiers and wounding 55 others, police said.


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Frank Miller's Ronin Gallery Edition HC
Graphitti Designs proudly presents FRANK MILLER'S RONIN GALLERY EDITION, featuring the story and art by Frank Miller that forever changed the world of graphic storytelling. Miller's evolutionary stepping-stone between Daredevil and BATMAN: THE DARK KNIGHT RETURNS comes alive in this oversize format that it so richly deserves. This is the content that the Gallery Edition format was made for. Graphitti Designs' Gallery Editions replicate the look, feel and attitude of the artwork. Every page is reproduced at original-size on heavy paper stock to provide fans and collectors with museum-quality reproductions that are obtainable nowhere else. FRANK MILLER'S RONIN features Miller's art as you've never seen it before, scanned from the original art. This all-inclusive volume contains the covers, interior pages and gatefolds from Ronin #1-6, first published more than thirty years ago. The power and innovation of Miller's artwork shine through for all to see in this actual-size presentation of this pivotal work. Brilliant.


text:
Asymplecta phorbiophora är en fjärilsart som beskrevs av Diakonoff 1955. Asymplecta phorbiophora ingår i släktet Asymplecta och familjen äkta malar. Inga underarter finns listade i Catalogue of Life.

Källor

Äkta malar
phorbiophora


In mathematics, a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. An example of a polynomial of a single indeterminate, x, is x2 − 4x + 7. An example in three variables is x3 + 2xyz2 − yz + 1.
The x occurring in a polynomial is commonly called either a variable or an indeterminate. When the polynomial is considered as an expression, x is a fixed symbol which does not have any value (its value is "indeterminate"). However, when one considers the function defined by the polynomial, then x represents the argument of the function, and is therefore called a "variable". Many authors use these two words interchangeably.
It is common to use uppercase letters for indeterminates and corresponding lowercase letters for the variables (or arguments) of the associated function.
represents no particular value, although any value may be substituted for it. The mapping that associates the result of this substitution to the substituted value is a function, called a polynomial function.
That is, a polynomial can either be zero or can be written as the sum of a finite number of non-zero terms. Each term consists of the product of a number—called the coefficient of the term—and a finite number of indeterminates, raised to nonnegative integer powers.
The exponent on an indeterminate in a term is called the degree of that indeterminate in that term; the degree of the term is the sum of the degrees of the indeterminates in that term, and the degree of a polynomial is the largest degree of any one term with nonzero coefficient. Because x = x1, the degree of an indeterminate without a written exponent is one.
The derivative of the polynomial anxn + an−1xn−1 + ... + a2x2 + a1x + a0 is the polynomial nanxn−1 + (n − 1)an−1xn−2 + ... + 2a2x + a1. If the set of the coefficients does not contain the integers (for example if the coefficients are integers modulo some prime number p), then kak should be interpreted as the sum of ak with itself, k times. For example, over the integers modulo p, the derivative of the polynomial xp + 1 is the polynomial 0.
A primitive integral or antiderivative of the polynomial anxn + an−1xn−1 + ⋅⋅⋅ + a2x2 + a1x + a0 is the polynomial anxn+1/(n + 1) + an−1xn/n + ⋅⋅⋅ + a2x3/3 + a1x2/2 + a0x + c, where c is an arbitrary constant. For instance, the antiderivatives of x2 + 1 have the form 1/3x3 + x + c.
for all x in the domain of f (here, n is a non-negative integer and a0, a1, a2, ..., an are constant coefficients).
, and thus both expressions define the same polynomial function on this interval.
called the polynomial function associated to P; the equation P(x) = 0 is the polynomial equation associated to P. The solutions of this equation are called the roots of the polynomial, or the zeros of the associated function (they correspond to the points where the graph of the function meets the x-axis).
In the ancient times, they succeeded only for degrees one and two. For quadratic equations, the quadratic formula provides such expressions of the solutions. Since the 16th century, similar formulas (using cube roots in addition to square roots), but much more complicated are known for equations of degree three and four (see cubic equation and quartic equation). But formulas for degree 5 and higher eluded researchers for several centuries. In 1824, Niels Henrik Abel proved the striking result that there are equations of degree 5 whose solutions cannot be expressed by a (finite) formula, involving only arithmetic operations and radicals (see Abel–Ruffini theorem). In 1830, Évariste Galois proved that most equations of degree higher than four cannot be solved by radicals, and showed that for each equation, one may decide whether it is solvable by radicals, and, if it is, solve it. This result marked the start of Galois theory and group theory, two important branches of modern algebra. Galois himself noted that the computations implied by his method were impracticable. Nevertheless, formulas for solvable equations of degrees 5 and 6 have been published (see quintic function and sextic equation).
In computer graphics they are used to interpolate between values to evaluate animation of dynamic graphical objects.
^ The coefficient of a term may be any number from a specified set. If that set is the set of real numbers, we speak of "polynomials over the reals". Other common kinds of polynomials are polynomials with integer coefficients, polynomials with complex coefficients, and polynomials with coefficients that are integers modulo of some prime number p.
^ This terminology dates from the time when the distinction was not clear between a polynomial and the function that it defines: a constant term and a constant polynomial define constant functions.
^ a b c d Barbeau, E.J. (2003). Polynomials. Springer. pp. 1–2. ISBN 978-0-387-40627-5.
^ Weisstein, Eric W. "Zero Polynomial". MathWorld.
^ Edwards, Harold M. (1995). Linear Algebra. Springer. p. 78. ISBN 978-0-8176-3731-6.
^ a b c Edwards, Harold M. (1995). Linear Algebra. Springer. p. 47. ISBN 978-0-8176-3731-6.
^ Some authors use "monomial" to mean "monic monomial". See Knapp, Anthony W. (2007). Advanced Algebra: Along with a Companion Volume Basic Algebra. Springer. p. 457. ISBN 0-8176-4522-5.
^ Salomon, David (2006). Coding for Data and Computer Communications. Springer. p. 459. ISBN 978-0-387-23804-3.
^ Barbeau, E.J. (2003). Polynomials. Springer. pp. 64–5. ISBN 978-0-387-40627-5.
^ Barbeau, E.J. (2003). Polynomials. Springer. pp. 80–2. ISBN 978-0-387-40627-5.
^ Proskuryakov, I.V. (1994). "Algebraic equation". In Hazewinkel, Michiel (ed.). Encyclopaedia of Mathematics. vol. 1. Springer. ISBN 978-1-55608-010-4.
^ Leung,, Kam-tim; et al. (1992). Polynomials and Equations. Hong Kong University Press. p. 134. ISBN 9789622092716.
^ McNamee, J.M. (2007). Numerical Methods for Roots of Polynomials, Part 1. Elsevier. ISBN 978-0-08-048947-6.
^ Powell, Michael J. D. (1981). Approximation Theory and Methods. Cambridge University Press. ISBN 978-0-521-29514-7.
^ Gohberg, Israel; Lancaster, Peter; Rodman, Leiba (2009) . Matrix Polynomials. Classics in Applied Mathematics. 58. Lancaster, PA: Society for Industrial and Applied Mathematics. ISBN 0-89871-681-0. Zbl 1170.15300.
^ Horn & Johnson 1990, p. 36.
^ Irving, Ronald S. (2004). Integers, Polynomials, and Rings: A Course in Algebra. Springer. p. 129. ISBN 978-0-387-20172-6.
^ Jackson, Terrence H. (1995). From Polynomials to Sums of Squares. CRC Press. p. 143. ISBN 978-0-7503-0329-3.
^ de Villiers, Johann (2012). Mathematics of Approximation. Springer. ISBN 9789491216503.


Borg is a Study Companion. It makes learning through MOOCs, video courses easier, as it manages your downloads, downloaded videos, video playlists and notes.
Create combined playlists, called "collections" using videos from various online and offline sources – Local Hard disk, Coursera, edX, NPTEL, MIT OCW, Khanacademy and more. Making it an excellent study/research tool.
There are some more features also planned and I am working to incorporate them. Features like time tracking, and reports of the videos watched.
It is available for Mac OS, Windows and Linux.
Initially, Borg was a software designed only for downloading coursera courses, which it did perfectly. But after the response and recommendations from my beta testers, it was decided that a plain downloader will not be of major help.
What was needed was a complete and seamless study experience, between online and offline videos + Playlist management combined, with a tightly integrated downloader and downloads manager, therefore all these features were later incorporated.
Support for edx courses was also included. Youtube is a huge resource of educational videos, so support for downloading, viewing and managing playlists from youtube as courses was also added.
It would be a huge help if you could add support for Udemy as well.
After logging into edx, unable to get to my content, get the unending wheel instead. Coursera content access works just fine. Any suggestions?
Hey, thanks for this software, the download manager is a little problematic. It keeps downloading the videos even after they have been downloaded and doesnt create folders and file names very well. Maybe i am using it wrong. Can you put together a short user guide? That would really help us in making full use of your effort.
But even otherwise this is very good. Hope you get around to adding your planned functionalities.
There are still a lot of bugs in borg. I have been planning a full rewrite, but haven't been able to take out time yet.
Gautam ji ! Please review the code ! I am tired of downloading the edx and courseCo courses to my phone.


Our Senior Executive Advisors have done international M&A deals to CFO of oil companies. Let us help you with your Oil strategy. Contact JD Morris to learn more!
** British healthcare company BTG Plc has acquired U.S. medical device maker Novate Medical, adding to its portfolio a vascular device for managing blood clots.
** State-controlled Banco do Brasil SA said in a securities filing on Thursday that it has raised its stake in Argentina's Banco Patagonia SA to 80.39 percent from 58.97 percent.
** A Brazilian judge ruled that President Michel Temer must convene a council of military representatives and politicians to analyze planemaker Embraer SA's deal with Boeing Co , Valor Economico newspaper said on its website on Thursday.
** Canada's Lundin Mining Corp said on Thursday it does not plan to revise its hostile bid for fellow base-metal miner Nevsun Resources Ltd after it was trumped by a C$1.86 billion ($1.42 billion) offer from China's Zijin Mining Group Co Ltd.
For healthcare we have two areas of interest! Any government contractor in the space and for private sector companies we need $4 million plus in EBITDA.
Contact JD Morris is you own or have owned specialty manufacturing company via text at 858-869-9483 and talk valuations to exit strategies. Here are some areas of interest. We want to help invest $5-10 million in your company.
TODAY 9am PST Ask An Expert Webinar topic "Notes with strong returns" and Deal of the week!
Author JD MorrisPosted on July 19, 2016 July 19, 2016 Categories Events, Investor Network, JD MorrisTags Ask An Expert, Notes, Private NotesLeave a comment on TODAY 9am PST Ask An Expert Webinar topic "Notes with strong returns" and Deal of the week!
Text me at +1 858-869-9483 with your deal. I am looking at deals to present to our limited partner on Friday! This is a CEO that built his come in the green space and has had a major exit. This can be $500k private note for mezzanine financing for a company to buying real estate with a private note. This is a rare opportunity to get in front of a mega investor!
As always, our goal is to invest in strong EBITDA companies with the need for growth or acquisition capital. Referral have been paid as high as $125,000 for 2 hours of work making an introduction!
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• Clayton Dubilier & Rice is among those preparing to submit final bids for Leroy-Somer, the alternator business of Emerson Electric (NYSE: EMR), according to Reuters. The deal is expected to be valued at around $1.1 billion, with a pair of Chinese strategics also reportedly interested.


Genealogy source and information websites for Genealogists & Family Historians - Research old jobs, diseases, abbreviations, latin registers & wills.
Welcome to GenProxy, for many years we had created simple "content over style" websites for genealogists and family historians who did not have a computer or internet access of their own (Genealogy by Proxy) Over the last 10 years the use of computers at home has proliferated and the internet has grown to over 4 billion pages, millions of these pages are dedicated resources for genealogy and family history research. As our potential client base are now very well catered for by their own computers and this massive online resource we feel we can wind down GenProxy.
No Hassle with Technology : We deal with all THAT !
• Creation and hosting of searchable Family Tree Web pages for those without Internet access.
• Design, hosting and Promotion of advertising pages / web sites for Genealogy Researchers plying their trade.
• Create a Proxy Reference Link to an existing Webpage / Web Site to increase the number of enquiries.
Click the Link below, GenProxy may be able to help you.
Part of this GenProxy website will stay online to support clients, also there are still some useful pages on it, with information on old archaic diseases, old medical terms and cause of death with the modern clinical names.
A list of old jobs, trades, occupations & professions with an explanation or indication of what the task entailed.
A Latin translator to help in family history research into Wills, Parish Records and Manorial Documents.
A chart to help show that awkward 2nd 3rd 4th Nth cousin relationship and how many times removed !
Hints & Tips on using email - and having your very own stable, never changing personal or family email address.
A glossary of computer & technical jargon, acronyms & abbreviations to help you de-mystify this geek infested world.
Back-ups, how important it is to back up your data, your hours of hard work & research, some problems & help.
Content over style web sites have a simple layout with clear highlighted text links to other pages or sections of the site, the text used is usually fairly large and in high contrast with a plainish background so that it is easy to read, even with poor eyesight or an old low resolution black / white monitor. The content of the site is of paramount importance not the style or layout, includes most original genealogy sites and simple informative business 'brochure' websites try this Sellitt and Soon website for second hand furniture, electrical goods, antiques & collectables in Beverley.
A good balance of both can be used on a business website with plenty of content, here on Garage Equipment site there are dynamic dropdown or popout menus, scrolling information boards, content management pages (where the site owner can update or change certain text and images from a PC anywhere in the world) and the whole interface looks "busy" but not so cluttered that it is hard for a visitor to find their way around.
Often seen in top of the range multimedia sites but sometimes used for small websites to mask the fact there is little actual content or fewer than five pages. A flash "movie" and animated flash navigation is useful when a business owner simply wants his company name to have a web "presence" or on-line brochure but not to sell his product or service over the internet. Beverley Domestic & Kitchen Appliances.


With the Vaitheswaran Koil, there is a special shrine dedicated to Ankarakan or Sevvai or Mars. The belief is that if prayers are offered to Ankarakan, he will bestow valor, victory and strength to the person. Upon entering the temple, devotees first go the Siddhamrita tank. The water is said to have curative properties for various skin ailments. There is also a widespread belief that a visit here would remove obstacles that delay marriage.
Though there is a question about when this temple was built, historians agree that it must have been in existence since before the beginning of the Bhakti period, which was well before the seventh century A.D. Dedicated to the Moon or Chandran in Sanskrit and Thingal in Tamil, a visit to this temple is said to grant a comfortable and long life. In astrology, Chandran is the planet that removes stress and sorrow.
This is the only temple that is dedicated to Lord Sani or Saturn. When the planet Saturn transits between zodiac signs, literally millions throng this shrine. The legendary King Nala is said to have been relieved of his afflictions, which were due to the malefic influence of Saturn, after worship in this temple. Of the numerous tanks theertams, the Nala theertam is the most important one. By bathing here, it is believed that one is washed off all kinds of misfortune and afflictions.
Situated 21 kms from Swamimalai is the Suryanar Koil built by King Kulothunga Chola I in the year 1100 AD. This temple is dedicated to Sun God Surya who is known as the giver of health, success and prosperity. Every year in mid January, the harvest festival is celebrated in thanksgiving and to honour Surya.
ThisShiva sthalam is associated with Sukran or Venus and is maintained by the Madurai Adhinam. It is located in a quiet hamlet of Thiruvaavaduturai.This shrine is also referred to as Palaasavanam, Brahmapurai and Agnisthalam. Brahma is said to have had a vision here of Shiva's wedding with Parvati. Men visit to pray for the well being of their wives.
This is an ancient Shaivite temple and legend has it that Kethu, the other planetary node of the nine celestial bodies worshipped Shiva here. Rahu and Kethu are associated with the legend of the serpent that helped Lord Shiva churn the milky ocean. There is a shrine dedicated to Kethu in this temple.
This is regarded as a Guru sthalam or Jupiter where Lord Dakshinamurthy is held in great reverence. The shrine attracts a large number of devotees when Jupiter transits between zodiac signs. Parvati, the consort of Lord Shiva, is said to have been reborn on the banks of the Amrita Pushkarini within the temple precincts before being reunited with Shiva.
There is a reference to this temple in Valmiki's Ramayana. Therefore it is said that the oldest part of the temple is more than 3000 years old. Dedicated to Budhan or Mercury this temple in Thiruvenkadu makes up the last of the Navagraha Temples. Budhan is said to bestow wisdom and intellect.


Today on CauseTalk Radio, Megan and Joe talk to Peter Strebel, Chief Marketing Officer at Omni Hotels & Resorts, about Say Goodnight to Hunger (#SayGoodnightToHunger). This action-triggered donation program feeds a family of four dinner for an entire week whenever guests book a stay directly at OmniHotels.com.
Since the programs launched in June, Omni Hotels has donated 3 million meals. Donations support Feeding America and local food banks in the 42 communities where Omni's 60 hotels are located.
Joe's love of Boston Cream Pie and its connection to the Omni Parker House in Boston.
How Omni Hotels got involved with Feeding America and the kick-off ofSay Goodnight to Hunger in June.
How Omni Hotel employees have supported the program in their communities. Feeding America's local footprint made it a perfect nonprofit match for Omni!
How the program is geared toward Millennial customers and employees. 45% of Omni employees and 25% of Omni customers are Millennials.
How being the father of a Millennial (who works at TOMS!) inspired Peter to take the next step in Omni's social responsibility efforts.
How support for this program began at the very top of the Omni organization.
What has surprised Peter the most since the launch of the program.
What Feeding America brings to the table as a partner of Omni Hotels.
How Omni Hotels is communicating with employees about the program to show the impact of their efforts.


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Is PETA's New Naked Women Campaign Anti Feminist?
Is PETA's New Naked Women Campaign Anti Feminist?
By Katie Pevreall
For advocates of veganism, often the most important thing to do is to spread the word. It's all very well holding the information yourself about the exploitation of animals, the impact animal agriculture has on the environment and the health benefits of a plant-based diet, but unless you can get the attention of others it's not going to change the world.
PETA, an animal welfare organisation who dedicate their time to spreading the word of veganism, have released an ad campaign this week featuring Bonnie-Jill Laflin, the first ever female scout for the NBA. As with many of PETA's previous ads that have included aesthetically pleasing women, Laflin has been depicted naked, or almost naked (she has shoes on). The picture accompanies the slogan 'Proud to Have Been NBA's First Female Scout. Even Prouder to be Vegan.' Although PETA should be commended for recognising Laflin's greatest achievement rather than just calling her a model or TV personality, it throws into question once again whether naked women should be used to promote veganism.
Unfortunately we live in a world where men assume that women's nudity is for their consumption. In the UK men have page 3 of The Sun, a double page spread dedicated entirely to featuring pictures of women in their underwear for men's entertainment. If a woman dares to walk down the street scantily clad, or even just looking nice, she is catcalled. Nights out are less and less about blowing off some steam with a drink and some dancing, but are a competition for how many girls men can 'pick up'. It is a mating ritual where women are so often the losers. That is not to say that women can't also enjoy the benefits of casual sex, but they should be able to do so safely, in a world where they are equal to the men they are talking to and not preyed on by them. In a world where they aren't fearful of saying the word no. All this might sound a bit extreme when considering whether or not PETA should feature naked women in their ads, but it's all interlinked.
This is by no means the first time that PETA have chosen to advertise in this way. PETA had an entire series of anti-fur adverts with the slogan 'I'd rather go naked', possibly the only selection of PETA's ads that actually warranted female nudity. But they also have ads featuring facts about the health benefits of veganism, with a woman in a revealing nurse costume, an advert of a naked Stephanie Pratt holding a bunny with the slogan 'Be Nice to Bunnies' and several ads picturing almost naked women being treated in the same ways in which animals are treated on farms.
The reality is that the nudity of these women is not the problem, it's the sexualisation of them. PETA is selling the women's sexual appeal in order to convince people to go vegan, at best this is disrespectful, at worst it is hypocritical. Veganism is about compassion and it's about equality. Adverts that are designed specifically to capture the audience's attention by over sexualising a woman are born out of inequality between men and women and the idea that women exist for the pleasure and benefit of men. In addition to this many people believe that to be a feminist you need also to consider the women in the farming world who are exploited every single day; cows, sheep and pigs who are used for little more than milk or reproductive capabilities. It seems only logical, then, for vegans to participate actively in feminism.
This doesn't mean that feminism believes that women should not get their bodies out. Not at all. Feminism shouldn't debate whether women should or should not get naked, feminism should seek to bring about a world where women always own their nudity. At present, advertising doesn't allow for that.
In addition to the issues surrounding the unequal relationship between society's men and women, PETA seems only to include the bodies of women who are smaller than the average woman in a western society. This only contributes to the incredibly damaging idea that women have to look a certain way in order to be considered attractive. This in turn feeds into the idea that a woman's attractiveness in some way correlates with her worth as a human being.
The only time that a plus sized woman has been depicted on any of PETA's adverts, it was a cartoon and she was being compared to a whale. 'Save the Whales', the advert said 'LOSE THE BLUBBER: GO VEGETARIAN'. Not only is this damaging to women's self esteem and overall mental health, but it also suggests that losing weight and becoming an 'acceptable' size should be one of the driving forces behind convincing people to ditch meat. Although veganism has a positive impact on people's health, and this can sometimes lead to weight loss, the focus should be on physical well being and not image. After all not everyone who is healthy fits into a size 6 and some people need to gain weight in order to be healthy.
Using smaller models is not the only way in which PETA's adverts have body shamed women, however. During another series of anti-fur ads, PETA suggested that women's body hair was unpleasant and unattractive. This is not helpful in the battle against inequality between genders.
Although veganism is about the animals, it doesn't mean we should ignore other world problems outside of animal welfare.
Ultimately, capitalising on men's disrespectful attitude towards women is not something vegans should be aiming for. Until such a time as men can be trusted not to treat every image of a naked woman as some form of porn, perhaps PETA can lay off using naked women in their adverts.
Image credit: Wikimedia Commons | Flickr | Flickr | Wikimedia Commons
anti feminist
Katie Pevreall
Freelancer Journalist, UK
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Sicon112 wrote: Recall my suggestion to solving the MorganaxMoriarty issue: an open ending where they both find some hint that a crossover is possible between the worlds, and are left with the choice to pursue it at their own discretion.
THIS IS A CONCEPT WE HAD NOT CONSIDERED. CURRENT FINDINGS ARE AMBIGUOUS. IT WARRANTS FURTHER RESEARCH. WE WILL KEEP YOU INFORMED.
Well, thanks Mr. A. I would appreciate that.
As would I! Nice one, Mister A!
This thread is pretty unpopular, considering that Gulliver doesn't require much attention. And that's what I wanted to say - let's leave it this way. He may travel around the world all he wants - eventually he'll leave enough echoes and we'll talk to him about sending him home.
That's sooo not going to happen, right?
His latest entry makes me feel really sorry for him though. At least he has John with him, otherwise I'd honestly be really worried.
Meta: considering that they have to have different echoes, I think they will part. Maybe John had an ulterior motive in coming to England.
So someone told Gulliver about Swift's book.
He wants more information about the book-- maybe we should give him a wikipedia link?
Also, he made some reference to the fact that nobody comments on his blog anymore. Made me feel bad. We need to give him some more Gulliver-love.
Qara-Xuan Zenith wrote: So someone told Gulliver about Swift's book.
I'll make one of my usual speeches shortly, once I have the time. If anyone else feels like doing it first, though, be my guest.
Qara-Xuan Zenith wrote: Also, he made some reference to the fact that nobody comments on his blog anymore. Made me feel bad. We need to give him some more Gulliver-love.
Somehow I'm having problems with having small talk with the fictites. Can't post anything not to the point. Maybe it's my Suspension of Disbelief failing... but I've never thought them to be real anyway.
Just talk to him like he's one of us. You're only trusting by faith that none of us are just personas being controlled by some random stranger. It's really no different.
Well, I do talk to Quixote.
Commented, linked to the wikipedia page, and mentioned the fact that Sicon would send a lengthy reply. And I openly admit my potential fictitiousness. It encourages the possibility of crossovers.
Ok, now John Silver found his book. Given his smarts, he'll probably take some action soon. Maybe they'll turn to us. Anyway, I think their period of irrelevance is coming to an end.
Dryunya wrote: Ok, now John Silver found his book. Given his smarts, he'll probably take some action soon. Maybe they'll turn to us. Anyway, I think their period of irrelevance is coming to an end.
Well, I'll just get really mad. Anyhow, to forestall that, I added in a hook to open dialogues in the hope that it will increase the chances of a response.
Was he able to read it!?
He can't. Gulliver summarized it for him.
Link LJS to my wall on Gulliver's blog.
Nice wall of text, Sicon. I approve.
...Also, I spent my day of frustrating offline-ness productively: I finally re-read Treasure Island. Except now I'm even LESS sure of what to think about Silver. On the bright side, I'll be more able to refic him when the time comes (soon, please!).
And now we know that he doesn't read our comments. And knowing is half the battle.
Sorry about your wasted wall of text, Sicon.
Someone needs to assemble that thingy. I think it can be assembled jigsaw-style, but omeboy said it should be printed and folderd. I can't do it now. Too sleedpy.
I hope you don't mind, but I sent him an even more laconic version. Short, sweet and two the point. There is no way Silver will be able to not read it.
Just saying. Whatever. I'll make sure you guys didn't miss anything, though I suspect you did great.
So... New post from Gulliver.
And speaking of jerk moves, what's with Silver's Blatant Lies to Gulliver that no one's commenting? What's he playing at? Is he trolling Gulliver? Has Morgana gotten to him?
Also, is it bad that my first thought when he started going on about that wardrobe was Narnia? I blame the witch.
...I don't trust that young man. What's the betting his "aunt" turns out to be Morgan?
Also, it REALLY scares me the way that the blog post ends mid-sentence. Even though he MUST have gotten out safely in order to write up and scan the blog entry.


Please help our community — upload your photos of 01614259.
This is a plate, name (diesel), for Cadillac automobiles. It fits for 14 General Motors vehicles which were sold in the U.S.. It's a genuine General Motors part with an OEM part number 01614259. Please keep in mind that this plate is discontinued for the U.S. market since February 1, 1992.
01614259 is discontinued since February 1, 1992 for the U.S. market.


WASHINGTON, DC — AARP today announced the launch of AARP Studios, an award-winning in-house production entity that produces a variety of rich and compelling content for an ever-growing 50-plus population. Led by former Discovery Communications' digital studios executive producer and director, Jeffrey Eagle, AARP Studios will distribute its viral videos, documentaries, virtual reality content and long-form television specials across multiple platforms including film, television and digital media.
AARP Studios' inaugural production for 2017 is "Dinner With Don," starring Don Rickles, a co-production in collaboration with Stamper Lumber Media Group, the production company founded by television and movie producer Robert Bauer ("Waitress," "Headcase") former Mark Burnett Production executives C. Scot Cru ("The Apprentice," "Are You Smarter Than a 5th Grader") and Patrice Choghi (Televisa, Mark Burnett Productions). The 10 episode series will feature the reigning king of comedy dining with friends and fellow comedians he has inspired over the years. The star-studded guest list features Billy Crystal, Robert De Niro, Jimmy Kimmel, Amy Poehler, Vince Vaughn, Paul Rudd, Marisa Tomei and Martin Scorsese.
"AARP Studios is all about telling real and relatable stories driven by great characters," said Eagle. "In creating a show with Don Rickles, we give viewers a seat at the table and the chance to hear decades of great show business stories from one of the most celebrated comedians of all time."
The series will be shot at some of Rickles' favorite iconic places to dine around the Los Angeles area such as Craig's, Dan Tana's, Madeo, Vincente and The Palm. Every episode of "Dinner With Don" will feature a spirited back and forth between Don and his special dinner guest, archival photographs and footage from Don as well as clips from each guest's personal and private archives whenever possible.
Rickles' long-time manager Tony Oppedisano's Winbrook Entertainment and Rickles' Wynnefield Productions serve as executive producers alongside Stamper Lumber Media Group.
"Don Rickles is a living legend in the truest sense of those words and we're looking forward to celebrating this series in advance of his 91st birthday this year," said Robert Bauer, co-founder of Stamper Lumber Media Group and series director. "Scot and I are tremendously honored, and consider ourselves fortunate to be working alongside Don, Tony O, and AARP Studios to present this legacy series." "It is awe inspiring to see some of our all time favorite entertainers come together to show their love and respect for Don," added C. Scot Cru. "We're grateful to AARP studios for this opportunity. This has been one of our all-time cherished production experiences."
AARP Studios and Stamper Lumber Media Group will announce the premier of "Dinner with Don" in the first quarter of 2017.
The deal was brokered by Jake Dexter at Paradigm.
Stamper Lumber Media Group (SLMG) is a Los Angeles based entertainment company that provides customized consulting, production, distribution and financing opportunities for clients' intellectual content across all platforms, including linear and digital television. SLMC was founded by entertainment veterans Robert Bauer (WAITRESS, HEADCASE, Baby, Baby, Baby), Patrice Choghi (UNITED ARTISTS, TELEVISA) and C. Scot Cru (TURNER BROADCASTING, SONY PICTURES TELEVISION, MARK BURNETT PRODUCTIONS).


Update 17 December 2018: In order to construct the Coming St access/retrieval shaft, the King St ramp from I-26 eastbound will be closed for the duration of the project, estimated to be July 2019. Click here for a link to the map showing alternate routes.
Shaft construction is almost complete and excavation of the President Street tunnel continues.
Phase 3 of the US17 Spring/Fishburne Drainage Improvement Project will include the construction of deep tunnels and working shafts. There will be 4 working shafts constructed as part of this phase. Two of the shafts will be 20-ft internal diameter (Coming Street/King Street off-ramp and President St & Cannon St). The wetwell shaft between the Ashley River Bridges and the Harmon Field working shaft will be 30-ft internal diameter. The tunnel connecting the Coming Street shaft and wetwell shaft (under the Crosstown) will be approximately 5,400 LF (linear feet) in length and up to 12-ft in internal diameter. The tunnel connecting the Cannon St/President St and the Harmon Field shafts will be approximately 2,100 LF in length and a minimum of 8-ft in internal diameter. These tunnels will intersect approximately 140 feet below grade at the intersection of the Crosstown and President Street. There will also be a smaller 500 LF 8-ft diameter tunnel connecting the Cherry St drop shaft to the Crosstown tunnel.
For videos of the mainline tunnel, click here and here.
Note: Completion of the work at the Lockwood St shaft site is significant as that will allow the commencement of Phase 4 of the project, construction of the wetwell and outfall.
The videos below were taken during placement of the tunnel boring machine (TBM) in the Lockwood Drive working shaft and are courtesy of Upwind Studios of Mount Pleasant, SC.


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Farrukh Nagar Fort is a prominent attraction in Gurgaon district. The fort has three gateways (Darwaza) to the city. Among these gates, the Dilli Darwaza is most astonishing and has artistically decorated bastions. We can see the remnants of this fort where once, nearly 4000 people lived. This 18th century Fort was built by Nawab Faujbar Khan. The other two entrances are Patli Darwaza and Jhajjari Darwaza.