text:
Shakespeare 'would be writing Game of Thrones' if alive; world marks 400 years since his death
By Luke Royes, wires
Posted Sat 23 Apr 2016 at 1:28am Saturday 23 Apr 2016 at 1:28am Sat 23 Apr 2016 at 1:28am , updated Sat 23 Apr 2016 at 8:28pm Saturday 23 Apr 2016 at 8:28pm Sat 23 Apr 2016 at 8:28pm
Composite image of William Shakespeare and King Joffrey Baratheon, from Game of Thrones. (AFP/HBO)
abc.net.au/news/shakespeare-were-alive-hed-be-writing-the-game-of-thrones/7345786
If William Shakespeare were alive today, he would probably be writing the next Game of Thrones.
He was the creator of 16th-century blockbusters, known as a master of mass delight, before he went on to be universally considered one of the greatest writers of the English language.
Shakespeare's 38 plays drew the hordes through the doors of British theatres, bringing all levels of society — from peasants to royalty — together through his latest work of tragedy, history or comedy.
The playwright, poet and dramatist's works continue to attract crowds to theatres in towns, cities and villages across the globe, in the English-speaking countries and otherwise.
Shakespeare's work, which includes his 38 plays and 154 sonnets, have been translated into over 80 languages and performed throughout the world.
This week marks 400 years since the death of The Bard at age 52 from "fever".
Shakespeare in everyday English
Four hundred years after William Shakespeare rested his quill for the last time, read through some passages of the playwright's most famous scenes and find out what he meant in contemporary English.
QUT's head of creative writing and literary studies, Glen Thomas, said the themes in Shakespeare's work — that have been the basis for countless modern film adaptations and stage productions — proved his relevance, influence and appeal was undiminished.
"The thing that everybody likes to say is that it was almost like Shakespeare was put in a time machine 400 years ago, had a look, and then went back to write some plays," he said.
"What a guy to come up with these things.
"If he were around today he'd be writing Game of Thrones or something, coming up with the next big thing."
Shakespeare's appeal says 'something about our humanity'
For Melbourne actress Vanessa O'Neill, Shakespeare's Macbeth is more than a play — it "shapes so much of how I see the world".
O'Neill performed at Shakespeare's Globe theatre in 2013, after she was one of 20 worldwide to secure the prestigious biennial International Actors' Fellowship.
The London-trained performer, who has worked with Bell Shakespeare, Australian Shakespeare Company and toured Australia and the UK, said she witnessed the international appeal of The Bard first-hand during the four-week intensive training.
Melbourne actress Vanessa O'Neill performed on the Shakespeare's Globe stage in 2013. (Supplied: Vanessa O'Neill)
"It was very interesting to be part of an international contingent, with people from Afghanistan, Pakistan, Georgia, Greece, Israel... people you may think have no connection to the plays, but it's the humanity of the plays that speaks across cultures and walks of life," she said.
"If you go through a newspaper and the stories to see if there's anything that relates to Shakespeare — murder, jealous, injustice, love — it's all there and keeps speaking to us.
"It's a more poetic form but it is the emotion that is there, I think it does continue to speak to us because, in essence, I wonder if people are that different.
"I think it does say something about our humanity."
As a theatre educator at Melbourne's Malthouse Theatre, she said young people and veteran theatre-goers alike feel the passion and power of Shakespeare's words.
"The students really get hooked on stories and I know I never tire of his plays... it's really life-affirming, you feel fully alive and the plays continue to speak to me," she said.
"Some passages I have performed thousands of times but to me they always feel fresh."
O'Neill is preparing to tour her own one-woman show, In Search Of Owen Roe, which has some Shakespeare woven in, around regional Victoria next month.
Britain's celebrates The Bard with 'total jamboree'
Ahead of the anniversary, the British Council commissioned a survey of 18,000 people from 15 countries, which found 65 per cent of respondents in non-English speaking countries such as China, Brazil, Turkey and Mexico, has fond feelings about Shakespeare.
Spanish literary legend 'died a day before Shakespeare'
Don Quixote author Miguel de Cervantes, the man considered to be greatest writer in the Spanish language, died a day before William Shakespeare on April 22, 1616.
Don Quixote, about nobleman who loses his mind after reading romance stories and sets out to revive chivalry and remedy injustice under a pseudonym Don Quixote de la Mancha, is considered to be the first modern European novel.
Published in two volumes in 1605 and 1615, the seminal works came towards the end of Cervantes's colourful life.
Cervantes worked as an assistant to a cardinal in Rome as a young man before fighting for the Catholic states against the Ottomans for the control of the Mediterranean and was held captive in Algiers.
After publishing his first novel La Galatea in 1585, he worked as a tax collector before being jailed over discrepancies in his financial records. Some believe he started dreaming up Don Quixote behind bars.
In the years after his release, he returned to writing, penning plays, poetry and short stories.
Don Quixote has gone on to become one of the world's most translated works, perhaps only surpassed by the Bible.
While he died a relatively poor man, Cervantes's influence on the Spanish language is so great, it is sometimes referred to as "the language of Cervantes".
In Britain, The Bard was liked, understood and still regarded as relevant by 59 per cent of people surveyed.
In Australia, an online poll by The University of Melbourne — which has a program of Shakespeare-themed events planned for 2016 to mark the anniversary — found Macbeth to be the favourite of his plays, slightly ahead of Hamlet.
Some of Britain's finest actors are returning to the Royal Shakespeare Theatre in Stratford-upon-Avon — his home town — to perform his most celebrated scenes, in a special show on the anniversary.
Oscar-winners Judi Dench and Helen Mirren lead a cast including Ian McKellen, Benedict Cumberbatch, Antony Sher, Joseph Fiennes and David Suchet for the Shakespeare Live! performance.
Prince Charles will attend the show, broadcast live on British television and in European cinemas.
"It's going to be a total jamboree, a real festival feeling," said Geraldine Collinge, the Royal Shakespeare Company's director of events and exhibitions.
Stratford, a town of 27,000 residents in central England, welcomes nearly 5 million people every year to visitors seeking out the places where The Bard was born, lived, wrote and died.
The precise date he died is not known, but his death is marked on April 23 because his funeral was held on April 25, 1616.
ABC/wires
Posted 23 Apr 2016 23 Apr 2016 Sat 23 Apr 2016 at 1:28am , updated 23 Apr 2016 23 Apr 2016 Sat 23 Apr 2016 at 8:28pm
Shakespeare's most famous lines in everyday English
Books (Literature)


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\section{Introduction}
The number of quantum mechanical problems for which the spectral equation can
be solved algebraically is rather limited. It is therefore not surprising
that the quasi exactly solvable (QES) equations
\cite{tur1}, \cite{ush} attract some attention.
For these equations, indeed, a finite number of eigenvectors can be obtained
by solving an algebraic equation. The study of QES equations has motivated
the classification of finite dimensional real Lie algebras of first order
differential operators. The algebras which, in a suitable representation,
preserve a finite dimensional module of smooth real functions
are particularly relevant for QES equations. The case of
one variable was addressed and solved some years ago \cite{tur2}.
There is, up to
an equivalence only one algebra, for instance sl(2), acting on the space of
polynomials of degree at most $n$ in the variable.
For two variables, the classification is more involved. It is described
respectively in \cite{gko1} and \cite{gko2} for complex and real variables.
The corresponding real QES operators finally
emerge in seven classes summarized
in table 7 of \cite{gko2}.

The natural next step is to classify the QES systems of two
equations \cite{turshif,bk}. It is known that, in general, the
underlying algebraic structure is not a (super) Lie algebra;
in those few cases where the algebra is a Lie algebra,
it is generically sl(2)$\times$sl(2) or osp(2,2) \cite{bk}.
The first case is rather trivial while the second one seems
to be worth to be studied in more details.
This was discussed in \cite{turshif,bk}; the present paper
is devoted to a further study of the relations of osp(2,2)
with QES systems.

In the second section, we present some new aspects of
the representations of the Lie algebra sl(2)
in terms of differential operators. As a byproduct we obtain a simpler
description of some of the QES operators
classified in \cite{gko2}. Thereafter we construct the realizations
of osp(2,2) in terms of partial differential operators of two real
variables.
This provides the algebraic basis for the description of certain QES systems
of two or four equations in two variables.
The labelling we use for the generators of osp(2,2)
simplifies considerably the structure of the algebra.
Taking advantage of this labelling,
we are able to find a deformation of osp(2,2) similar, in the
spirit, to the Witten-Woronowic deformation of sl(2) \cite{witt,woro,zachos}.
For this deformed algebra, we also find the representations
that we express in terms of finite difference operators.
The normal ordering rules obeyed  by these operators
are more appropriate for the classification of finite difference
QES operators than the ones given in a previous paper \cite{bgk}.

\section{Representations of sl(2)}

We first discuss the realizations of sl(2) which will
be usefull in the next sections.
In the case of one variable, the basic  QES operators read
\cite{tur1},\cite{tur2}
\begin{equation}
j_- (x,m) = {d\over {dx}}\quad , \quad
j_0 (x,m)  = x{d\over {dx}} - {m\over 2}\quad , \quad
j_+ (x,m) = x^2 {d\over{dx}} - mx
\label{sl2}
\end{equation}
When $m$ is an integer these operators
preserve the vector space, say $P(m)$,
of polynomials of degree at most $m$
in the variable $x$.
They obey the commutation relations of the Lie algebra sl(2).

From (\ref{sl2}), we can define the operators corresponding
to the product of two representations. That is to say,
if $x$ and $y$ denote two independent variables
\begin{equation}
\label{sl2d}
j_{\epsilon}(x,m;y,n) = j_{\epsilon}(x,m) + j_{\epsilon}(y,n)\quad ,
\quad \epsilon = \pm, 0
\end{equation}
Clearly, the operators (\ref{sl2d})
obey the same commutation relations as (\ref{sl2}).
They act on the vector space, say $P(m,n)$ of polynomials of degree at most
$m$ (resp. $n$) in the variable $x$ (resp. $y$).
However, their action  on $P(m,n)$ is not irreducible.
One can show easily that the operators (\ref{sl2d})
preserve irreducibly the subspace of $P(m,n)$ defined by
\begin{equation}
M(m,n) = {\rm Span} \left\lbrace
({\partial\over{\partial x}} + {\partial\over {\partial y}})^k
x^m y^n \quad , \quad 0 \leq k \leq m+n\right\rbrace
\label{sousespace}
\end{equation}
This vector space is the eigenspace of the Casimir operator
corresponding to the representation of highest spin in the
decomposition of $P(m,n)$ in subspaces irreducible with respect to
the action  of (\ref{sl2d}).
The other irreducible representations
result as similar structures with different values of $m$ and $n$;
it is therefore sufficient to deal with (\ref{sousespace}).

Alternatively, $M(m,n)$  can be seen as the kernel  of the operator
\begin{equation}
K(x,y,m,n) = (x-y) {\partial\over{\partial x}} {\partial \over{\partial y}}
+ n{\partial \over{\partial x}} - m {\partial \over{\partial y}}
\end{equation}
acting on $P(m,n)$.
Remark that $M(m,0)$  (resp. $M(0,n)$) is isomorphic to $P(m)$ (resp. $P(n)$);
it that case, the one dimensional operators (\ref{sl2})
are recovered from (\ref{sl2d})  by ignoring
the partial derivative $\partial \over \partial y$ (resp.
$\partial \over \partial x$).

\subsection{QES operators in two variables}

The QES operators in two real variables are classified in Ref. \cite{gko2};
the authors summarize the seven possible hidden algebras
in their table 7.
The operators labelled (1.4), (1.10) and (2.3) in this table
are studied independently in Refs. \cite{turshif}, \cite{tur3}.
The operators labelled (1.1) in the table appear to be new;
in particular they lead to the only case
for which the invariant module is not
manifestly a space of polynomials in the two variables.
In the following we show that the
formulation (1.1) can be simplified and related
to the algebra (\ref{sl2d}) by means of a suitable change of function.

The operators (1.1) in table 7 of ref.\cite{gko2} read
\begin{eqnarray}
\tilde j_- &=& {\partial\over{\partial x}} + {\partial \over{\partial y}},
\nonumber \\
\tilde j_0 &=& x{\partial\over{\partial x}} + y {\partial\over{\partial y}},
\nonumber \\
\tilde j_+ &=& x^2 {\partial\over{\partial x}} + y^2{\partial\over{\partial y}}
+ {n\over 2} (x-y)
\label{olver11}
\end{eqnarray}
They preserve the space $\tilde M(m,n)$ defined as
\begin{equation}
\tilde M(m,n) = {\rm Span} \left\lbrace (x-y)^{m+{n\over 2}-k} R_k^{m,n}
\left({x+y\over {x-y}}\right)\quad , \quad 0 \leq k \leq 2m+n\right\rbrace
\end{equation}
\begin{equation}
R_k^{m,n}(t) = {d^k\over{dt^k}} (t-1)^{m+n}(t+1)^m
\end{equation}
Our observation is summarized by the following two formulas
\begin{equation}
(x-y)^{m+{n\over 2}} \  \tilde j_{\epsilon} \ (x-y)^{-m-{n\over 2}} =
j_{\epsilon}(x,m) + j_{\epsilon}(y,m+n)
\end{equation}
\begin{equation}
(x-y)^{m+{n\over 2}} \tilde M(m,n) = M(m,m+n)
\end{equation}
In other words the algebra (\ref{olver11}) is equivalent to the
algebra (\ref{sl2d}) (up to a suitable redefinition of $n$
into $m+n$).
\par The advantage of the new formulation is twofold.
First the relevant operators form an sl(2)
diagonal subalgebra of the sl(2)$\otimes$ sl(2) algebra generated by
\begin{equation}
j_{\epsilon}(x,m)\quad , \quad j_{\epsilon}(y,n)\quad , \quad \epsilon =
\pm, 0
\end{equation}
In this respect the form (\ref{sl2d}) of the operators (\ref{olver11})
is clearly related to the fundamental operators (\ref{sl2})
and  is easy to generalize to the case of $V$ variables.
Second, the vector space of the representation,
i.e. $M(m,n)$, is a space of polynomials like in
all the other cases of the classification of Ref.\cite{gko2}.
In the next sections, we discuss some possible extensions
of the algebra (\ref{sl2d}) into graded algebras. The
corresponding operators  are related to  systems of QES  equations.

\subsection{Imbeddings into gl(2)}

In the next sections, we will put the emphasis on the
classification of the operators which preserve the direct sum
\begin{equation}
M(m,n)\oplus M(m+\Delta,n+\Delta') \ \
\label{sumgen}
\end{equation}
where $m,n$, $m+\Delta, n+ \Delta'$
are positive integers.
The operators (\ref{sl2d}) are crucial for this task;
however we find it convenient to label them as follows.
For $\mu,\nu \in \{0,1 \}$ we define
\begin{equation}
J_{\mu}^{\nu} (x,m,m+\Delta;y,n,n+\Delta') =
{\rm diag} (j_{\mu}^{\nu}(x,m;y,n), j_{\mu}^{\nu} (x,m+\Delta;y,n+\Delta'))
     - {T \over 2} \delta_{\mu}^{\nu}
\label{gl2}
\end{equation}
where $T$ is a constant $2 \times 2$ diagonal matrix while
\begin{eqnarray}
&j_0^0(x,m;y,n) &= j_0(x,m;y,n) \nonumber \\
&j_1^1(x,m;y,n) &= -j_0(x,m;y,n) \nonumber \\
&j_0^1(x,m;y,n) &= j_-(x,m;y,n)   \nonumber \\
&j_1^0(x,m;y,n) &= - j_+(x,m;y,n)
\end{eqnarray}
The operators (\ref{gl2})
obey the commutation relations of the Lie algebra gl(2) :
\begin{equation}
[ J_{\mu}^{\nu} , J_{\alpha}^{\beta}] =
  \delta_{\mu}^{\beta} J_{\alpha}^{\nu}
- \delta_{\alpha}^{\nu} J_{\mu}^{\beta} \ \ ,
\label{gl2com}
\end{equation}
(for shortness we drop the dependence on $x,m,\ldots$)
defining a (reducible) representation of this Lie algebra
on the vector space  (\ref{sumgen}).

\section{Representations of osp(2,2)}

We first consider the $2\times 2$ matrix
operators preserving the direct sum
\begin{equation}
M(m,n) \oplus M(m+1,n) \ \ .
\label{sum1}
\end{equation}
In addition to the diagonal generators $J_{\mu}^{\nu}(x,m,m+1;y,n,n)$,
defined above, we have to construct  the off diagonal ones.
They can be formulated in terms
of the matrices $\sigma_{\pm} \equiv (\sigma_1 \pm i \sigma_2)/2$
($\sigma_a$, a=1,2,3 are the Pauli matrices) and of the following
differential operators
\begin{eqnarray}
q_0(x,m;y,n) &=&
  {1\over{m+1}} (m+n+1+(x-y){\partial\over{\partial y}}) \nonumber \\
q_1(x,m;y,n) &=&
-{1\over{m+1}} \left((m+1)  x+ny+y(x-y){\partial
\over{\partial y}}\right)  \label{q} \\
\overline q_1(x,m) &=& {\partial\over{\partial x}} \nonumber \\
\overline q_0(x,m) &=& (x {\partial\over{\partial x}} - m - 1)
 \label{qb}
\end{eqnarray}
The coming proposition allows to classify the operators under consideration.

\vspace{0.3cm}
\noindent {\bf{Proposition}}

\vspace{0.3cm}
\noindent
{\it The linear operators preserving the vector space (\ref{sum1})
are the elements of
the enveloping algebra generated by the
eight operators}
\begin{equation}
J_{\mu}^{\nu}(m,n,1,0) \ \  , \ \ \mu, \nu = 0,1
\label{op1}
\end{equation}
\begin{equation}
Q_{\mu} = q_{\mu}(x,m;y,n) \sigma_- \qquad  , \qquad {\mu}=0,1
\label{op2}
\end{equation}
\begin{equation}
\overline Q^{\mu} = \overline q^{\mu}(x,m) \sigma_+ \qquad ,
\qquad {\mu}=0,1
\label{op3}
\end{equation}

The eight operators (\ref{op1}),(\ref{op2}),(\ref{op3})
acting on the space (\ref{sum1}) lead to an irreducible
representation (with dimension = $2m+2n+3$)
of the graded Lie algebra osp(2,2).
The labelling of the generators,  together with the matrix $T$ in
(\ref{gl2}) of the form
\begin{equation}
  T = {\rm diag} (m+n+\Delta+\Delta'+1 , m+n+1)
\label{top}
\end{equation}
results in a
particularly concise form of the structure constants.
In addition to (\ref{gl2com}), we find
\begin{eqnarray}
&[ J_{\mu}^{\nu} , Q_{\alpha} ] &=
 \delta_{\mu}^{\nu} Q_{\alpha} - \delta_{\alpha}^{\nu}  Q_{\mu} \\
&[ J_{\mu}^{\nu} , \overline Q^{\alpha} ] &=
  \delta^{\alpha}_{\mu}  \overline Q^{\nu} -
 \delta_{\mu}^{\nu} \overline Q^{\alpha}  \\
&\{ Q_{\mu} , \overline Q^{\nu} \} &=  J_{\mu}^{\nu} \\
&\{ Q_{\mu} ,  Q_{\nu} \} &=
 \{ \overline Q^{\mu} , \overline Q^{\nu} \} = 0
\end{eqnarray}
In particular $Q_{\mu}$ (and $\overline Q^{\mu}$)
transforms as a doublet under the adjoint action of the gl(2)
subalgebra generated by the four $J$'s.

The relationship  between the super Lie algebra  osp(2,2)
and the differential operators (of one variable)
preserving P(m)$\oplus$ P(m+1)
was first noticed in  \cite{turshif}.
The differential operators used in \cite{turshif}
can be recovered from ours by setting $n=0$ and dropping
all derivatives ${\partial \over \partial y}$.
Our labelling of the generators is, however, different.

The finite dimensional representations
of osp(2,2) \cite{snr} can be expressed in
terms of differential operators of one variable \cite{bgk}.
In this kind of approach, the generic,
finite dimensional irreducible representation
appears as acting on the vector space
\begin{equation}
P(m) \oplus P(m+1) \oplus P(m-1) \oplus P(m).
\end{equation}
The representations of osp(2,2)
can be formulated also in terms
of the two variables differential operators constructed above.
In particular the generic irreducible representation
can be constructed equally well on the vector spaces
\begin{equation}
V_I = M_{m,n} \oplus M_{m+1,n}\oplus M_{m-1,n}\oplus M_{m,n}
\end{equation}
\begin{equation}
V_{II} = M_{m,n} \oplus M_{m+1,n}\oplus M_{m,n+1}\oplus M_{m,n}
\end{equation}
The associated representations are equivalent
(in aggrement with \cite{snr}) but
the expressions of the generators
in terms of the partial derivatives is quite different.
The proof of the equivalence between the representations acting on $V_I$ and
on $V_{II}$ relies on the fact that the operators (\ref{gl2}) are invariant
under the double substitution
$m \leftrightarrow n$ and $x \leftrightarrow y$.
Therefore the operators $q_{\mu}(y,n;x,m)$
(resp. $\overline q^{\mu}(y,n)$) behave exactly as $q_{\mu}(x,m;y,n)$
(resp.  $\overline q^{\mu}(x,m)$) under the adjoint action of (\ref{gl2}).

\section{More graded algebras}

We now put the emphasis on the operators preserving the vector space
\begin{equation}
 M_{m,n} \oplus M_{m+\Delta,n + \Delta'} \quad \ \ . \ \
\end{equation}
The relevant diagonal operators can be chosen according to (\ref{gl2}).
The construction of the off diagonal ones depends on the relative signs
of $\Delta$ and $\Delta'$.

\subsection{case $\Delta,\Delta' \geq 0$}
The operators connecting the vector space
$M(m,n)$ with $M(m+\Delta,n+\Delta')$ (and vice versa)
can be formulated in terms of products
of  operators (\ref{q}) (and  (\ref{qb})) where the indices
$m$ and $n$ in the different factors are appropriately shifted .
The following identities allows one to deal with the
ambiguities of ordering of
the different factors:
\begin{eqnarray}
&q_b(x,m+1;y,n) \ q_a(x,m;y,n) &=q_a(x,m+1;y,n) q_b(x,m;y,n) \nonumber \\
&q_b(y,n;x,m+1) \ q_a(x,m;y,n) &=q_a(y,n;x,m+1) q_b(x,m;y,n) \nonumber \\
&q_b(y,n;x,m+1) \ q_a(x,m;y,n) &= q_a(x,m;y,n+1) q_b(y,n;x,n)
\label{iden}
\end{eqnarray}
One can use these identities in order to define the operators
\begin{equation}
q(x,[a_k];y,[b_l]) \equiv
\prod_{l=1}^{\Delta '}
\prod_{k=1}^{\Delta}
q_{b_l}(y,n+l-1;x,m+ \Delta)
q_{a_k}(x,m+k-1,n)
\label{qprod}
\end{equation}
symmetrically  in the multi indices
\begin{eqnarray}
&[a_k] \equiv (a_1, \ldots , a_{\Delta '}) \ \ \ , \ \ \ &a_i = 0,1
\nonumber \\
&[b_l] \equiv (b_1, \ldots ,  b_{\Delta }) \ \ \ , \ \ \ &b_i = 0,1
\end{eqnarray}
The operators (\ref{qprod}) connect $M(m,n)$ with $M(m+\Delta,n+\Delta')$
and
\begin{equation}
Q([a_k],[b_l]) =  q(x,[a_k];y,[b_l]) \sigma_-
\end{equation}
are the counterparts of the  operators (\ref{q}).
Using the remarks made at the end of the previous
section, one can convince that the operators (\ref{qprod})
transform according to the representation of spin $\Delta + \Delta'$
under the adjoint action of the gl(2) represented via (\ref{gl2}).

The operators $\overline Q([a_k],[b_l])$, proportional to
$\sigma_+$,  can be constructed
in exactly the similar way as for the $Q([a_k],[b_l])$.
Identities like (\ref{iden}) exist among the $ \overline q_a$.
The complete algebra (which is non linear)
 can be obtained following the same lines
as in \cite{bn}.

\subsection{The case M(m,n) $\oplus$ M(m+1,n-1)}

If we consider $\Delta$ and $\Delta'$ of opposite signs,
the operators preserving (\ref{sumgen}) do not represent
a Lie super algebra even for
$\vert \Delta \vert = \vert \Delta' \vert =1$
We studied the operators preserving the vector space
$M(m,n) \oplus M(m+1,n-1)$
and observed that the underlying algebric stucture is different from those
obtained in \cite{bn}. Again,
 $J_{\mu}^{\nu}(x,m,m+1;y,n,n-1)$ can be used
as a starting point.
We find it convenient to set $T=0$ in (\ref{gl2})
and add separately the  grading operator
$T\equiv \sigma_3$.
As far as the off diagonal operators are concerned, we choose
\begin{eqnarray}
     &R_{\mu}^{\nu} &=
\overline q_{\mu}(y,n-1,x,m+1) q^{\nu}(x,m,y,n) \sigma_-
\nonumber \\
     &\overline R_{\mu}^{\nu} &=
\overline q_{\mu}(x,m,y,n) q^{\nu}(y,n-1,x,m+1) \sigma_+
\label{rrbar}
\end{eqnarray}
These tensors are not irreducible with respect to the adjoint action
of the $J$ generators.
The traces
\begin{equation}
R_{\mu}^{\mu} =
{m+n+2 \over m+1} ((y-x) {\partial \over \partial y} -n) \ \ \ , \ \ \
\overline R_{\mu}^{\mu} =
{m+n+2 \over n+1} ((x-y) {\partial \over \partial x} -m)
\end{equation}
are operators which intertwines the equivalent representations
carried by the spaces $M(m,n)$ and $M(m+1,n-1)$;
they commute with the four operators (\ref{gl2}).

The  order of the factors $q$ and $\overline q$ entering in
$R$ and $\overline R$ can be reversed by using the identity
\begin{eqnarray}
q_{\mu}(y,n-1,x,m+1) q^{\nu}(x,m,y,n) &-&
q^{\nu}(x,m,y,n-1)q_{\mu}(y,n-1,x,m) \nonumber \\
&=& {1 \over m+n+2} R_{\mu}^{\mu}
\end{eqnarray}

The generators $J_{\mu}^{\nu},R_{\mu}^{\nu}, \overline J_{\mu}^{\nu}$
obey   the following commutation
and anticommutation relations
\begin{eqnarray}
&[ J_{\mu}^{\nu} , R_{\alpha}^{\beta}] &=
  \delta_{\mu}^{\beta} R_{\alpha}^{\nu}
- \delta_{\alpha}^{\nu} R_{\mu}^{\beta} \ \ , \nonumber \\
&[ J_{\mu}^{\nu} , \overline R_{\alpha}^{\beta}] &=
  \delta_{\mu}^{\beta} \overline R_{\alpha}^{\nu}
- \delta_{\alpha}^{\nu} \overline R_{\mu}^{\beta}
\end{eqnarray}
\begin{eqnarray}
\{ R_{\mu}^{\nu} ,  \overline R_{\alpha}^{\beta} \}
&=& {1\over 2} \{ J_{\mu}^{\beta} , J_{\alpha}^{\nu} \}
+ {T\over 2} (   \delta_{\mu}^{\beta}  J_{\alpha}^{\nu}
                -  \delta_{\alpha}^{\nu} J_{\mu}^{\beta} ) \nonumber \\
&-& {1\over 2} (   \delta_{\mu}^{\nu}  J_{\alpha}^{\beta}
                +  \delta_{\alpha}^{\beta} J_{\mu}^{\nu} )
- {1\over 2}  \delta_{\mu}^{\nu}  \delta_{\alpha}^{\beta}
\label{corrbar}
\end{eqnarray}
These  relations do not define an abstract algebra.
In order to fulfil the associativity conditions
(i.e. the Jacobi identities), the  anticommutators between
two $R$ (two $\overline R$), which vanish for (\ref{rrbar})
have to be implemented in a non trivial way \cite{bk},\cite{bn};
equation (\ref{corrbar}) indicates that the underlying algebra
is non linear.

\section{Deformation of osp(2,2)}

If we want to describe in abstract terms the
algebraic structure  underlying the QES finite difference equations,
some deformations of the algebras discussed above seem to emerge
in a natural way.
For scalar equations the relevant deformation was pointed out
some time ago \cite {tur2}.
In a previous paper \cite{bgk} we presented some
(finite dimensional) representations
of a deformation of osp(2,2) in terms of
finite difference operators.
However, we have taken advantage of the ``gl(2)-labelling''
used here for the generators of osp(2,2) to construct a new
deformation of this super Lie algebra.

A deformation of osp(2,2) is known \cite{deguchi}
(for more general graded algebra see \cite{vinet});
it is such that
the (anti) commutators of some generators close,
within the enveloping algebra,
in terms of transcendental functions of the generators.
The deformation of osp(2,2)  that we present here is constructed in
the same spirit as the
so called ``Witten type II'' deformation  of sl(2) \cite{witt,zachos}.
That is to say that the structure of the algebra relates
q-commutators of the generators to linear combinations of them.
The q-commutators and q-anti-commutators are defined respectively
as
\begin{equation}
   [A , B]_q = AB - q BA \ \ \ \ , \ \ \ \ \{A , B \}_q = AB + qBA
\end{equation}
where $q$ is the deformation parameter.

Our deformation of osp(2,2) is expressed as follows,
\begin{equation}
  \{ Q_{\mu} , Q_{\nu} \}_{q^{\nu-\mu}} = 0 \ \ \  , \ \ \
 \{ \overline Q^{\mu} , \overline Q^{\nu} \}_{q^{\nu-\mu}} = 0
\end{equation}
\begin{equation}
 \{ Q_{\mu} , \overline Q^{\nu} \} = J_{\mu}^{\nu}
\label{defj}
\end{equation}
\begin{equation}
[ J_{\mu}^{\nu} , Q_{\alpha} ]_{q^{\alpha-\nu}} =
q^{{\alpha-\nu-1}\over 2}
 (\delta_{\mu}^{\nu} Q_{\alpha} - \delta_{\alpha}^{\nu}  Q_{\mu})
\end{equation}
\begin{equation}
[ J_{\mu}^{\nu} , \overline Q^{\alpha} ]_{q^{\mu -\alpha}} =
q^{{\mu-\alpha-1}\over 2}
 (\delta^{\alpha}_{\nu}  \overline Q^{\nu} -
    \delta_{\mu}^{\nu} \overline Q^{\alpha}  )
\end{equation}
\begin{eqnarray}
[ J_{\mu}^{\nu} , J_{\alpha}^{\beta}]_{q^s} &=&
 q^{{s-r-1}\over 2}(\delta_{\mu}^{\beta} J_{\alpha}^{\nu}
- q^{r} \delta_{\alpha}^{\nu} J_{\mu}^{\beta}) \nonumber \\
&+& {q-1 \over q^2} (Q_0 \overline Q^0 + Q_1 \overline Q^1)
\delta_{\alpha}^{\nu} \delta_{\mu}^{\beta}
(1-\delta_{\mu}^{\nu} \delta_{\alpha}^{\beta})
\label{gl2def}
\end{eqnarray}
with $s\equiv \nu + \alpha - \mu - \beta$ and
$r \equiv (\nu - \beta)(\mu - \alpha)$.

All Jacobi identities are obeyed by these relations.
The last commutator indicates that the bosonic generators do not
close into a gl(2) subalgebra (similarly to the
deformation of ref.\cite{deguchi}).
Neglecting all fermionic operators in the above formulas
leads to one deformation of gl(2) found in \cite{fairlie}.

It is possible to construct two independent expressions,
quadratic in the generators, which q-commute with the generators.
These ``q-Casimir'' operators read
\begin{eqnarray}
      &C_1 = &Q_0 \overline Q^0 + Q_1 \overline Q^1
             + q J_1^0 J_0^1 - J_0^0 J_1^1 - J_0^0 \nonumber \\
      &C_2 = &(q-1)^2 (Q_0 \overline Q^0 + Q_1 \overline Q^1)
             + q(q-1)^2 J_1^0 J_0^1 + (q-1) J_1^1 -q(q-1)J_0^0 -1
\end{eqnarray}
and obey the following commutation properties (for i=1,2)
\begin{eqnarray}
   &[C_i, J_{\mu}^{\nu} ]_{q^{2(\mu - \nu)}} &= 0 \ \ \ ,  \nonumber \\
   &[C_i, Q_{\mu}]_{q^{2\mu - 1}} &= 0 \ \ \ ,  \nonumber \\
   &[C_i, Q^{\mu}]_{q^{1-2\mu }} &= 0 \ \ \
\end{eqnarray}
It follows that any function of the ratio $C_1/C_2$ commute with the generators
and constitute a conventional Casimir.

We further constructed the representations of the algebra above
which are relevant for systems of finite difference QES equations.
To describe them we define a finite
difference operator  $D_q$.
\begin{equation}
       D_q f(x) =  { f(x) - f(qx) \over (1-q)x} \ \ \ , \ \ \
       D_q x^n = [n]_q x^{n-1} \ \ \ , \ \ \
       [n]_q \equiv {1 - q^n \over 1-q}
\end{equation}

The simplest of these realizations are characterized by a positive
integer $n$ and  act on the vector space
\begin{equation}
P(n-1) \oplus P(n) \ \ .
\label{pp}
\end{equation}
 Adopting $x$ as the variable,
the fermionic generators are represented by
\begin{eqnarray}
   &Q_0 = q^{-{n\over 2}} \sigma_- \ \ \ , \ \ \
   &Q_1 = -x \sigma_- \nonumber \\
   &\overline Q^0 = q^{-{n\over 2}} (x D_q - [n]_q) \sigma_+ \ \ \ , \ \ \
   &\overline Q^1 = D_q \sigma_+
\label{repp}
\end{eqnarray}
The bosonic operators can be constructed easily from (\ref{defj}) but
we write them for completeness
\begin{equation}
J_0^0 = q^{-n} ((x D_q - [n]_q) 1\!{\rm I}_2 \ \ \ \ , \ \ \
J_1^1 = (-1) {\rm diag } ( q x D_q + 1 , x D_q)
\end{equation}
\begin{equation}
J_0^1 = q^{-{n\over 2}}  D_q 1\!{\rm I}_2 \ \ \ \ , \ \ \
J_1^0 = (-1)q^{-{n\over 2}}  {\rm diag }
( qx(x D_q - [n-1]_q) , x(x D_q - [n]_q) )
\end{equation}
The enveloping algebra constructed with the eight generators above
contains all finite difference operators preserving $P(n-1) \oplus P(n)$.

As in the underformed case, there also exist representations
which act on the vector space
\begin{equation}
     P(n) \oplus P(n+1) \oplus P(n-1) \oplus P(n)
\label{pppp}
\end{equation}
The fermionic generators are realized as follows
\begin{equation}
Q_0 =
\left(\begin{array}{cccc}
0     &0     &0   &0\\
1     &0     &0   &0\\
D_q   &0     &0   &0\\
0     &-D_q  &1   &0
\end{array}\right)
\nonumber
\end{equation}
\begin{equation}
Q_1 =
\left(\begin{array}{cccc}
0     &0     &0   &0\\
x     &0     &0   &0\\
q^{-n}\delta(n)   &0     &0   &0\\
0     &-q^{-n-1}\delta(n+1)  &x   &0
\end{array}\right)
\nonumber
\end{equation}
\begin{equation}
\overline Q^0 =
\left(\begin{array}{cccc}
0  &\lambda \delta(n+1) &(1-\lambda q^{n+1})x    &0    \\
0  &0                   &0   &(\lambda q^{n+1}-1)x       \\
0  &0                   &0   &q\lambda \delta(n)         \\
0  &0                   &0   &0
\end{array}\right)
\nonumber
\end{equation}
\begin{equation}
\overline Q^1 =
\left(\begin{array}{cccc}
0  &\lambda q^{n+1}D_q  &(1-\lambda q^{n+1})      &0   \\
0  &0                   &0   &\lambda q^{n+1} -1       \\
0  &0                   &0   &\lambda q^{n+1} D_q      \\
0  &0                   &0   &0
\end{array}\right)
\label{repppp}
\end{equation}
where $\lambda$ is an arbitrary complex parameter and,
for shortness, we used $\delta(n) \equiv xD_q - [n]_q$.
The invariance of the operators under the similarity
transformation has been exploited to set $Q_0$ in a form
as simple as possible.
In the limit $\lambda \rightarrow q^{-n-1}$ the representation
(\ref{repppp}) becomes reducible and decomposes
into atypical ones of the form (\ref{repp}).

The deformation  of osp(2,2) presented above leads to
simple  normal ordering rules for the generators.
In this respect, it is very appropriate
for the classification of the finite
difference operators preserving the space (\ref{pp}) or (\ref{pppp})
and of the corresponding QES systems.
The normal ordering rules
associated with the deformation used in ref.\cite{bgk}
are not as transparent since they depend non polynomially
of some operators.

\section{Concluding remarks}

The most interesting examples of QES systems are related to
the algebra osp(2,2), e.g. the relativistic Coulomb problem
and the stability of the sphaleron in the abelian Higgs model
\cite{bk}. Therefore, further realizations of this algebra
in terms of differential operators desserve some attention.
Here, we present realizations formulated in terms of
differential operators in two variables.
The labelling used for the generators clearly exhibits their
tensorial structure under the gl(2) subalgebra and
provides very naturally the building blocks for the construction
of series of (non linear) graded algebras preserving some vector
spaces of polynomials.

Witten type deformations attracted recently some attention
(see e.g. \cite{chung} for  osp(1,2)).
The deformation of osp(2,2) presented here is of this type
and it admits representations which are directly relevant for
the study of QES finite difference systems.
The existence of a coproduct for this type of deformation
would allow to adapt the construction of section 2 to
finite difference equations. This is a nice application
of the coproduct that we plan to address in a subsequent paper.

\newpage

redpajama_set_name: RedPajamaArXiv


text:
Q: RegExp replace one html tag by another with some exceptions I need to change some html tags by others.
For example, I want to change the

tags to

tags, except when the word inside the

tags is et al, ie.:
et al.

Is there a way in which I can use a single replace operation for matching the EM word inside the the start and closing tags
<> </>

or the only way is by using 2 replacement operations, like
"()(?!et al)", ""

Edit:
I'm using VBA inside MSAccess.
This is my UDF:
'--------------------------------------------------------------------
' Name:         RegExpReplace
' Purpose:      Replace text in a string using Regular Expressions.
' Requires:     Microsoft VBScript Regular Expressions 5.5
' Author:       Diego F.Pereira-Perdomo
' Date:         Dec-27-2012
'--------------------------------------------------------------------
Public Function RegExpReplace(ByVal strInput As String, _
                ByVal strPattern As String, _
                ByVal strReplace As String, _
             Optional booIgnCase As Boolean = False, _
              Optional booGlobal As Boolean = True) As String

    Dim oRegExp As RegExp
    Dim strOutp As String

    Set oRegExp = New RegExp
    With oRegExp
        .IgnoreCase = booIgnCase
        .Global = booGlobal
        .pattern = strPattern
        strOutp = .Replace(strInput, strReplace)
        RegExpReplace = strOutp
    End With
    Set oRegExp = Nothing

End Function

A: Edit:
After some research about regex capabilities with VBScript (and VBScript syntax), the simpliest way seems to be:
Dim re: Set re = New RegExp
re.Pattern = "]*)>(?!carmen)([\s\S]*?)"
re.Global = True
re.IgnoreCase = True

Dim str: str = "where in the world is carmen sandiego?"
Dim rep: rep = "$2"

MsgBox re.Replace(str, rep)

Pattern description:
<em             # literal: ]*)         # capture group 1: all characters except > zero or more times
>               # literal: >
(?!carmen) # lookahead assertion: not followed by "carmen"
(               # capture group 2:
    [\s\S]      # all that is a white character + all that is not a white character
                # = all possible characters (including newlines)
    *?          # repeat zero or more times (lazy)
)               # close capture group 2
           # literal:

The pattern is designed to exclude exactly "carmen". If you want to exclude substrings that contains "carmen", you must make some change to the pattern and take care to not check the word outside the tags (blah blah blah carmen)
the most simple way:
]*)>((?:(?!carmen)[\s\S])*?)

note that this way is particulary inefficient since the regex engine must check (?!carmen) for each character.
An other way:
]*)>((?:[^<c]+|c(?!armen)|<(?!/em>))*)

This pattern seems to be a good idea, but there's a problem. All works fine when the string contains the closing tag , but if the closing tag is missing your script will simply crash because of catastropic backtracking. You can find more information about this here.
A way to solve the problem is to use an atomic group (?>..) (inside which the regex engine is not allowed to backtrack) in place of the non capturing group (?:..), but VBS regexes (as Javascript) doesn't have this feature.
However you can emulate this feature using a lookahead, a capturing group and a backreference: (?=(pattern))\1 is equivalent to (?>pattern). (because a lookahead is naturaly atomic)
If I rewrite the precedent pattern with this trick, I obtain:
]*)>((?:(?=([^<c]+|c(?!armen)|<(?!/em>)))\3)*)

A: This expression works perfect.
<(em)>((?!.*?et al).*?)</\1>

So essentially it captures
(em)

for using it in the end tag
</\1>

excludes the string even if there are characters before
(?!.*?et al)

or after
(?!.*?et al).*?

and captures the result
((?!.*?et al).*?)

Well, more the less that's what it does :)
For replacing using my function these are some examples:
Ex.1:
?RegExpReplace("et al", _
"<(em)>((?!.*?et al).*?)</\1>", _
"$2", _
True)

Result:
et al

Ex.2:
?RegExpReplace("et al ", _
"<(em)>((?!.*?et al).*?)</\1>", _
"$2", _
True)

Result:
et al

Ex.3:
?RegExpReplace(" et al", _
"<(em)>((?!.*?et al).*?)</\1>", _
"$2", _
True)

Result:
 et al

Ex.4
?RegExpReplace("et a", _
"<(em)>((?!.*?et al).*?)</\1>", _
"$2", _
True)

Result
et a

Ex.5
?RegExpReplace("t al", _
"<(em)>((?!.*?et al).*?)</\1>", _
"$2", _
True)

Result:
t al

Note the use of the backreferences in the searching pattern and in the replacing string. In the searching pattern one has to use the backslash and the reference number; in the replacing string one has to use the dollar sign and the reference number.
Finally, I have to disagree with the notion that RegExp are not useful or moreover dangerous for editing html (docs or strings).
Parsing an html is easily accomplished with the DOM and that is the recommended tool with no doubt.
So I use the DOM for parsing the Html, extract the different parts and RegExp for modifying the details.
Hope this help others.
Regards,
Diego

redpajama_set_name: RedPajamaStackExchange


Award winning actor and singer, Brett Brown, makes his debut album with Australia's leading music producer, Chong Lim AM.
"He can sing, dance and act most people into a corner" – The Sydney Morning Herald.
This year I am thrilled to make my debut singing album in Melbourne with Australia's leading music producer, Chong Lim AM. As Maestro Lim is the music director for Olivia Newton John AC OBE, Kylie Minogue AO OBE, John Farnham AO and David Campbell this is an exciting prospect. Recording is scheduled with an orchestra from August to November 2019. The album will be ready for release in January 2020.
Since starting my career with Opera Australia at the age of eight, my life has been a pursuit of artistic excellence. Graduating with Honours from the Royal Academy of Dramatic Art in 2009, I have achieved an International career as an actor and singer.
My work acknowledges classical and contemporary music, and I strive to make this classical-crossover genre accessible, particularly to young people. Creating my album with Maestro Lim will enable me to fulfil this ambition.
With guidance from Warwick Ross, General Manager of The Australian Elizabethan Theatre Trust, I am seeking support in raising funds towards my goal. Visit my website www.brettbrown.com.au/album to read letters of recommendation from Craig Hassall AM, CEO Royal Albert Hall; Dr William Clark OAM, Director of Music; Patricia Oertel, creator of Human Nature; Philip Parr, Director; and the late Dame Gillian Lynne DBE.
Brett Brown is a graduate of the Royal Academy of Dramatic Art, London. An award-winning actor and distinguished baritone, he holds a Licentiate in Singing from the AMEB, and is a Fellow of the Guild of Musicians and Singers.
Brett began his career with Opera Australia at the age of eight. He has performed leading roles with OperaUpClose, the Royal Shakespeare Company, Shakespeare's Globe, the BBC, and in the West End productions of Dear World and Fishskin Trousers. Highlights also include Hamlet in Denmark and South Korea. Brett made his screen debut in the Academy award winning film The Theory of Everything. He has represented Australia with his solo production of Henry V at Shakespeare festivals in Croatia, Czech Republic, Hungary, Poland, Serbia and the United Kingdom.
Brett's solo recitals include Brett Brown Sings Handel; Bach's Ich Habe Genug; Vivaldi: Lovers and Warriors; and You Say You Want A Revolution. In 2017 he opened the Art Gallery of NSW Resonate with his classical-cabaret Postcards, and returned in 2018 with To Sleep Perchance to Dream. In 2019 Brett sings a world premiere by acclaimed American composer Nico Muhly with Omega Ensemble at City Recital Hall. His debut album is set for release in 2020.


text:
Q: How to add google places autocomplete to xcode with swift (tutorial) I want to add google places autocomplete to xcode with swift, so users can search on a city and press enter, so should the app show that city on the map.
I´m using google maps, so it has to be connected to that map and the search bar would i like to have in the navi-bar (just above the map)
Does anyone know a good tutorial to do that??

A: For Swift 3:
1- Select your podfile and type : pod 'GooglePlaces'
2- In the appDelegate, add your API Key :
GMSPlacesClient.provideAPIKey("YOUR KEY") (Import the GooglePlaces)
3- Use this code in your viewController that contains the googleMap:
    // This code snippet demonstrates adding a
// full-screen Autocomplete UI control

import UIKit
import GooglePlaces

class ViewController: UIViewController {

  // TODO: Add a button to Main.storyboard to invoke onLaunchClicked.

  // Present the Autocomplete view controller when the button is pressed.
  @IBAction func onLaunchClicked(sender: UIButton) {
    let acController = GMSAutocompleteViewController()
    acController.delegate = self
    present(acController, animated: true, completion: nil)
  }
}

extension ViewController: GMSAutocompleteViewControllerDelegate {

  // Handle the user's selection.
  func viewController(_ viewController: GMSAutocompleteViewController, didAutocompleteWith place: GMSPlace) {
    print("Place name: \(place.name)")
    print("Place address: \(place.formattedAddress)")
    print("Place attributions: \(place.attributions)")
    dismiss(animated: true, completion: nil)
  }

  func viewController(_ viewController: GMSAutocompleteViewController, didFailAutocompleteWithError error: Error) {
    // TODO: handle the error.
    print("Error: \(error)")
    dismiss(animated: true, completion: nil)
  }

  // User cancelled the operation.
  func wasCancelled(_ viewController: GMSAutocompleteViewController) {
    print("Autocomplete was cancelled.")
    dismiss(animated: true, completion: nil)
  }
}

A: Not exactly tutorials, but there are a few resources on Github, with people providing libraries and code samples to achieve what you're asking for.

*

*SPGooglePlacesAutocomplete (https://github.com/spoletto/SPGooglePlacesAutocomplete) is very popular and has many features, but it's written in Objective-C

*iOS Google Places Autocomplete (https://github.com/watsonbox/ios_google_places_autocomplete) is more recent, written in Swift, and also contains some examples.

*lots of others...

Even without proper tutorials, you can still check out these libraries and understand how their code works to get some inspiration if you want to write your own components.
As a sidetone, Google also has this page, but it's not a dedicated tutorial for iOS apps, just some useful explanations of how their API works: https://developers.google.com/places/documentation/autocomplete#examples

A: You can try one for wrapper to implement Autocompletion for Place API with Google:
https://github.com/mrugrajsinh/MVAutocompletePlaceSearchTextField
Its very simple drop-in control and subclass of UITextField so using by binding Class with simple UITextField you can achive Auto completion dropdown similar as Uber and many popular app does.

A: Here's a tutorial I came across which is based on my ios_google_places_autocomplete code.
@Frederik: If you've had a problem with the library, please create an issue describing it.

A: please check this one 110% work.
http://sweettutos.com/2015/09/30/how-to-use-the-google-places-autocomplete-api-with-google-maps-sdk-on-ios/

A: Use this latest repo. with swift 2.0
Just download zip file of project and open pod file and write pod 'GoogleMaps'  and save it open terminal and install pod.
Enjoy!!!
RKAutoCompletePlaceSearch

A: Since the question was asked, Google has added UI elements to the iOS SDK for this sort of workflow. Check out the documentation.

A: Simple and lightweight solution for Swift users !
I also created a library to make these simple request without including any framework of third party library. You can also maintain cache for Autocomplete with the library.
To use to library follow these steps : -
step-1 Import GoogleApiHelper into your project.
step-2 Initialise  GoogleApiHelper
GoogleApi.shared.initialiseWithKey("API_KEY")

step-3 Call the methods
var input = GInput()
input.keyword = "San francisco"
GoogleApi.shared.callApi(input: input) { (response) in
    if let results = response.data as? [GApiResponse.Autocomplete], response.isValidFor(.autocomplete) {
        //Enjoy the Autocomplete Api
    } else { print(response.error ?? "ERROR") }
}

You can find the library here


text:
Livvagterne er en dansk dramaserie, der havde premiere på DR1 1. januar 2009.
Serien er udviklet og skrevet af Mai Brostrøm og Peter Thorsboe, og er den sidste i parrets krimitrilogi, der også indeholder serierne Rejseholdet (2000) og Ørnen (2004). Den er instrueret af Mikkel Seerup.

Serien handler om de danske livvagter under PET. Man følger de tre hovedpersoners uddannelse og arbejde som livvagter.

Handling
Sæson 1

Afsnit 1-2

Forsvarsminister Henrik Skelbæk ankommer til Bagdad, for at fejre nytår med de danske sikringsstyrker. Med sig har Skelbæk livvagter fra PET, som har til ansvar at beskytte Forsvarsministeren. Trods beskyttelsen fra livvagterne udvikler aftenen sig til en aften med skæbnesvangre følger - PET livvagten Ibro bliver dræbt. Ibros far som er tidliger jugoslavisk elitesoldat vil have hævn over Skelbæk.  Sideløbende med historien om angrebet mod Skelbæk følger man de tre aspiranter på livvagts-uddannelsen, Jasminna, Jonas og Rasmus. De tre aspiranter bliver udvalgt til at assistere PET til en begravelse af endnu en dræbt dansk soldat, da man har Catic (Ibros far) mistænkt for at ville begå et attentat mod Skelbæk. Catic slår ikke til ved begravelsen - som blev en alternativ eksamen for de tre aspiranter - han slår derimod til på Skelbæks hjemmeadresse.

Afsnit 3-4

Da statsministeren udnævner en kontroversiel minister, beslutter sikkerhedschef Leon Hartvig at give ministeren fuld beskyttelse. Jasminna får til opgave at beskytte den nye minister imod en antidemokratisk gruppe, som de mener har til hensigt at slå den nye minister ihjel. Det går dog op for Leon og 'Tønne' at truslen ikke er mod ministeren, men tværtimod mod Jasminna, uden at hun selv ved det. I jagten på at spore denne gruppe går Jonas undercover, hvilket fører til at han suspenderes af PET.

Afsnit 5-6

Jasmina bliver kontaktet af en fjern bekendt, Huma, som bor i en københavnsk forstad, hvor en stor del af beboerne er muslimer. Huma er bekymret for, om hendes venindes mand er ved at forberede en terrorhandling; han har på det seneste ændret adfærd og foretager sig besynderlige ting sammen med en hidtil ukendt mand. Veninden tror selv, at hendes mand har fundet en anden kvinde. Det viser sig, at Leon allerede har et indgående kendskab til den fremmede mand, og en efterforskning bliver sat i gang. Mistanken om en terrorhandling bliver konkretiseret og Leon mener at der er udtænkt et terrorangreb i København, hvilket gør at han sætter alle kræfter ind på at stoppe det potentielle angreb.

Afsnit 7-8

Statsminister Jens Ole Vestergaard skal giftes med en af landets mest populære skuespillere, hvilket glæder den danske befolkning - pånær én enkelt kvinde. Vestergaard har en beundrer i længere tid, men da nyheden slipper ud om brylluppet så udvikler det sig til 'stalking'. Stalkeren gør alt der står i hendes magt for at forsøge at ødelægge brylluppet, hvilket ender ud i et attentatforsøg hvor livvagten Rasmus bliver hårdt såret.

Afsnit 9-10

Som optakt til den store klimakonference senere på året er en række eksperter og politikere inviteret til et formøde i København. Blandt dem er den markante engelske klimaminister, Claire Thornton. Hun medbringer beviser for, at visse såkaldte eksperter modtager bestikkelse fra industrien mod til gengæld at afdramatisere diskussionen om den globale opvarmning. Også Claires ærkemodstander og en netop løsladt tidligere terrorist ankommer til København. Thornton bliver bortført af en flok autonome der bliver ledt af den tidligere terrorist.

Medvirkende
 Cecilie Stenspil – livvagt Jasminna el Murad
 André Babikian – livvagt Jonas Goldschmidt
 Søren Vejby – livvagt Rasmus Poulsen
 Thomas W. Gabrielsson – PET's sikkerhedschef Leon Hartvig
 Ellen Hillingsø – politimester for PET Benedikte Tønnesen
 Ditte Gråbøl – sekretær Diana Pedersen
 Rasmus Bjerg – gruppeleder Kurt Birk
 Tommy Kenter – retspsykiater Jørgen Boas
 Michael Sand – livvagt og instruktør Kurt Strøm (Store Kurt)
 Kate Kjølby – Asha, Jasminnas søster
Benjamin Boe Rasmussen - livvagt Trikker
Kim Jansson - livvagt Fjordby

Priser
I 2009 vandt Livvagterne en Emmy Award for bedste ikke-amerikanske tv-dramaserie. Peter Thorsboe og Mai Brostrøm som er forfatterne til Livvagterne, har tidligere modtaget Emmy Awards for de danske dramaer Rejseholdet og Ørnen i henholdsvis 2002 og 2005. Danmarks Radio har dermed modtaget fem Emmy Awards. De øvrige vindere er Nikolaj og Julie (2003) og Unge Andersen (2005).

Modtagelse
De første to afsnit af Livvagterne startede ud med høje seertal på DR1. Afsnit 1 blev set af 1.450.000 seere og afsnit 2 blev set af 1.650.000 seere. Første sæson der havde præmiere i 2009, var i skarp seerkonkurrence med VM i håndbold, hvilket resulterede i et fald på 400.000 seere i afsnit fire, da det blev sendt på samme tidspunkt som Danmark mod Serbien.

Ser man på seriens modtagelse blandt de danske medier, så fik den en særdeles fin modtagelse. Her er et mindre uddrag af anmeldelser fra præmieren d. 2 januar 2009:

Seriens gode start blev ifølge flere danske anmeldere ikke fulgt op, og dette kunne også ses i de efterfølgende anmeldelser i sæson 1.

Referencer

Eksterne henvisninger
 Officiel hjemmeside

Dramaserier fra Danmark

Krimiserier fra Danmark
Søndagsserier på DR
Danske tv-serier fra 2000'erne
Danske tv-serier fra 2010'erne

redpajama_set_name: RedPajamaWikipedia


Amarillo Animal Management and Welfare was awarded a $25,000 pet retention grant from PetSmart Charities.
AMARILLO, TX (KFDA) - Amarillo Animal Management and Welfare just received funding needed to be a resource for people within the community.
The shelter plans to use this money to better serve two demographics in our area, while focusing on keeping more pets with their owners and out of the shelter.
The pet retention grant is focusing on keeping more pets with their owners and out of the shelter.
The shelter said it's heard from residents that their ability to communicate with Spanish speakers lacks.
By being able to offer forms in Spanish, it plans to improve that.
The other part of the funding will reach animals who belong to the homeless, where the shelter says they will start from ground zero.
Amarillo Animal Management and Welfare said you can expect to see the benefits of this grant roll out over the next 12 months.


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'Hannah Montana' concert film set to break Super Bowl-weekend box office record
By Nicole Sperling
Updated January 31, 2008 at 12:00 PM EST
Some $18 million in tickets have already been pre-sold for Disney's 3-D Hannah Montana & Miley Cyrus: Best of Both Worlds Concert movie, which opens tonight at midnight. Sources tell EW.com that the movie is on track to become the highest-grossing film to bow on Super Bowl weekend — obviously, not a traditionally strong weekend at the box office. (When a Stranger Calls, which earned $21.6 mil on Super Sunday two years ago, is the current leader.) But leave it to the folks at Disney to realize that there are plenty of young girls who won't be at home eating chili and watching football all day Sunday. Insiders predict the movie's bow in 683 theaters will gross in the mid-$20 million range — which is enormous. What's interesting is that the film's tracking numbers are in the toilet, but that's because tracking services still use in-home calling to reach moviegoers, and most moviegoers under the age of 25 don't use land lines, they use cell phones.

redpajama_set_name: RedPajamaCommonCrawl


Whittingham struck late on as Cardiff City secured a share of the spoils a 1 draw at Scunthorpe.I don't know if it was the new technology or the fact that I was distracted, thinking a lot about it and how the shoe felt on foot, but the three flew by, and Bradley McDougald Jersey I did actually feel like I could have gone even farther.'s punt upfield caught the Boro defence out http://www.officialsfootballseahawks.com/Authentic-Bradley-Mcdougald-Jersey and with Graham Dorrans chasing down, Coyne cleared the ball straight into the path of Brunt who looped the ball over him superbly from fully 50 yards.Todd Pendleton, CMO for Samsung Telecommunications America, said a statement.It's been discussed, McCoy said, via U-T San .
I know I can be a true point guard if need be, but I know I also have a gift for scoring the basketball as well.?I mean, first couple years the league I was just a setup ?Got some big swings and misses when he needed to, manager A.J.It was the second of three championship wins that after winning the U.S.Dec 29 8 AM Murphy's homecoming with the Nets has been a failure due to a preseason injury, struggling jump shot and sporadic playing time.Monday, he joined Agnew and Ameer Abdullah returning punts during one particular special teams period.
We start winning a little bit more and it's definitely going to be a great experience.And last year, he legitimately thrust himself into the MVP conversation — as a wide receiver!Midway through the first quarter, it appeared as if the Redskins were on the move to score the first points.his four seasons with the Aztecs, Greene appeared 35 games and made 32 starts a right guard.With the big frames of both and Witherspoon made for the team's zone coverage, their combination of experience and exuberance is bound to make them a special duo.
went Chris Taylor Youth Jersey 4 off talent.One dude picked fourth.I enjoyed watching .ways, the 1-mile Kansas high banks looks like the perfect place for http://www.officialdodgersshoponline.com/WOMENS-CHRIS-TAYLOR-JERSEY.html Kenseth to make his 2018 debut.Each morning, the gauze around the breathing tube, soiled with mucus, must be removed, the area cleaned and new gauze put place.
Tells you how big a game changer Mathieu is when he's on the field.That gave him choice for the final stage, and he never relinquished the lead.I think it's part of the game.Per team policy, terms of the agreement were not released.Hughes arrives Buffalo after most recently spending the 2017 with the New Orleans Saints.


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Bluff to Te Anau - 26/02/2012 to 29/02/2012
Sunday morning we went to see the two most visited tourist spots of Bluff. Firstly the sign-post, supposedly at lands end, when we all know that Slope Point in the Catlins is actually the southern most point of the South Island. However Bluff is far more accessible for the common tourist and vandal; the sign post has been vandalized so many times in the past they have had to make it from metal to slow the attrition rate.
The second most visited site is Bluff Hill and vandals had been there as well and removed the 'no campervans' sign from the bottom of the extremely steep hill. The non-greenies had also been there and clear felled most of the hill, making a clearer 360 degree view of the bottom of the South Island, Stewart Island, Tiwai Point Aluminum Smelter and the dying Bluff township. We drove back to Edendale to dump our waste once again (and look for the lost waste valve). Did you know the world's biggest raw milk processor sends milk samples everyday to the Waikato for testing - yet more food miles!
We went north to Mataura, small town famous for Justin Marshall, a waterfall and a paper mill. At my first accountancy job we sent letters to important clients on special paper which had a Mataura Falls Bond water-mark. Having no idea at the time where Mataura was it has been an extreme let down to finally see the place which is yet another run-down town whose welfare office is probably now the mainstay of the community. Clinton, also a small town, thinks they are slightly better than others and their welcoming signs say they are a "three horse town". Never saw them, so we did a u-turn and followed the presidential highway from Clinton to Gore (think America if you don't get why it is called the presidential highway).
Gore, known as the country music capital of NZ also didn't live up to our expectations. There is no sign of any country music in Gore, no events, no big statute, not even a cowboy in town singing about his girl leaving hi m. No, Gore has an old Creamoata factory, a big trout statute, fishing shops and is more famous for brown trout. We stayed the night at the A&P Showgrounds, across the road from the Town & Country Club, ever hopeful somebody would break out in song or at least have the look, the boots and spurs, the boot lace tie or the metal points on their collar. All we got was a man walking his Siamese cat on a leash.
Monday we drove to Mandeville to do a geocache near an old train. There is an aviation museum there set up by some old guy who actually restores the planes to working order (also does flights). Roger went in (woman don't know nothin' about planes) however I did notice that the guy was building himself a railway station out the back to go with his restored steam engine that also works; I'll bet there is a long suffering woman there somewhere.
We passed through more small towns like Lumsden and Mossburn, probably once bustling towns, but now just kept tidy to catch the passing tourist dollar at the café/dairy. Finally we got to Te Anau, the hub of the Fiordland National Park area, which is always expanding to meet the real tourist dollar. On my 4th trip here and Roger's first, it lived up to all the picture postcard shots you see of the blue sky and native bush covered mountains reflecting in the calm waters of the lake. Then there are the tourists and the tourist shops and the sandflies, all equally as annoying as each other. 30 minutes in Te Anau and I had broken out in a sweat. I would like to think it was the hot weather but unfortunately I think it was the $685 spent in such a short time - $5 on low cost camping in someone's backyard one block from the lake and shops, $650 on tourist attractions and $30 on refreshments to get over the $655 worth of pain.
Te Anau is famous for its walking tracks, but as I have already done a few we are here for relaxing and sedate tourist activities. So on Tuesday we drove from Te Anau to Milford Sound to use our first tourist package, a trip out around the Milford Sound in a boat. Getting to Milford is not so easy. They say to allow two and a half hours on the road to Milford but that didn't include waiting for 2000 sheep to wander up the road, visits to natural landmarks already swamped by tourists, steep hills not made for camping buses, red lights on the 1.2km Homer tunnel and a dodgey GPS. At least when we got there Jim Hickey had got the weather wrong and the sun was shining on Mitre Peak, not raining as he had forecasted.
Mitre Peak, named after the bishops hat (or, Maori translation, the result of taking Viagra) is one of NZ's most photographed scenes. It is also the start of our journey out to the Tasman Sea and back, taking in si ghts of seals, waterfalls etc and learning a lot about the history and geography of the area. Milford Sound is wrongly named and is actually a Fiord (glacier carved) not a Sound (river carved), it has a layer of lighter fresh water from the mountains sitting on denser sea water from the ocean; all information carefully filtered from the captain's commentary for my earthcache [don't ask - Ed].
As I have managed to pick on Aucklanders and Southlanders so far, I may as well continue with Asians. As we queued for our cruise, a bus load of Asians arrived and immediately pushed in. They stormed onto the boat for the 100 minute cruise and headed straight for the diner. Then they came up to the viewing platform, spat everywhere, and then talked over the top of the PA system while they organized 50 photos of themselves in front of no particular land feature. We had formed an alliance with some Canadians not to be bullied, by the Asians, out of our viewing positions; however one Asian decided that fondling Roger may work - wrong, he got the Sonny Bill Roger treatment. The captain convinced them to go right to the bow and then drove under a waterfall, justice.
However it still required more tension release at the bar back in Te Anau; a miracle cure that is 3-star Speights. Wednesday's more costly outing was a full day on 2 boats and 2 buses to see Lake Manapouri (NZ's second deepest lake), Doubtful Sound and the Manapouri Power Station. Jim Hickey got the weather right for once as it was pissing down and cold. According to our guide that was a good thing because we get to see more waterfalls and there are no Te Namu (sandflies) when it rains that hard.
Manapouri, NZs only underground power station, is now manned by 20 people as opposed to the 1800 who built it within the rock. A lot of work considering it really only has one user. When operating to full capacity it supplies 85% of its power to the Tiwai Point Aluminum Smelter. However it isn't at the moment because, you guessed it, the region has been experiencing a drought and the water levels do not allow the power station to run at full capacity. Our tour guide did explain that Fiordland's annual rainfall is measured in metres and therefore a few weeks without rain does have a major affect on lake levels. Today's weather to him was only a light shower and just enough to cause some waterfalls for the happy-snappy tourists, American's are so easy to please!
Queue another opportunity to find a nationality to pick on. We have been learning American, it is the reverse of English: Stay in the building means go outside. Stay on the bus means get off. Remain seated means stand up and block the captains visibility. Sound of silence means talk. Sound of silence consisted of the captain taking the boat up a valley, stopping the motors and all other boat noises and asking everybody to be quiet to listen to the sounds of a rainforest. It is quite an impressive thing; that is, the sound of nature as well as, 90 silent Americans.
For my Dad, who brought me here many years ago to the power station, they have tunnelled another 10km tailrace in the rock and with the efficient dispersal of water, now produce more power for the same water throughput. Oh, and Roger supported the preservation of the lake levels in the '70s. Apparently it cost him 50 cents and the National Party the election. Next minute he will be chaining himself to Lucy Lawless and voting for Winston Peters' no immigration policy [Roger probably won't get around to the voting part - Ed].
5,000km - At Homer Tunnel
Milford Sound and Mitre Peak
Descending from Homer Tunnel
Te Anau Lake - evening
Traded the motorhome in on this
In the museum at Mandeville
Tiwai Point smelter and local beach
Which way is a Pukeko to go?
Bluff end of Stewart Island's chain


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Q: Cognos Report Studio - An error occurred while performing operation 'sqlOpenResult' status='0' I am working on a list report. The last time I checked it was running perfectly. Today, I run it, it doesn't work and I get this error message :

An error occurred while performing operation 'sqlOpenResult' status='0'.

This message doesn't  say a lot. Does any one know an error with status 0 can be caused by what?
Thanks !


A master of deductive reasoning who can solve the most difficult crimes by spotting obscure clues overlooked by others, dilettante sleuth Sherlock Holmes was the hero of sixty stories written by Sir Arthur Conan Doyle between 1887 and 1927.
A master of deductive reasoning who can solve the most difficult crimes by spotting obscure clues overlooked by others, dilettante sleuth Sherlock Holmes was the hero of sixty stories written by Sir Arthur Conan Doyle between 1887 and 1927. He even rose from the dead after Doyle tried to dispatch him in his twenty-fourth adventure, and readers protested. Here, in one volume, are all four full-length novels and fifty-six short stories about the colourful adventures of Sherlock Holmes- every word Sir Arthur Conan Doyle ever wrote about Baker Street's most famous resident. Also included is an introduction by lifetime Sherlockians Barbara and Christopher Roden. The Complete Sherlock Holmes is one of Barnes & Noble's Leatherbound Classics, with an exquisitely designed bonded-leather binding, distinctive gilt edging and a silk-ribbon bookmark.


Capturing the Beauty of Each Precious Moment… One Photo at a time… With a blend of Photojournalistic and Traditional styles, Randall Kenneth Photography is here to capture the events of your day. We love our job and we can't wait to get all of your photo's processed and delivered to you. In many cases, we will have your photo's ready before you return from your honeymoon! All wedding packages come with an Online gallery, DVD or Flash Drive, an Engagement Session and a print credit. We also have a selection of Wedding Albums, Canvas Prints, Standouts and other print products available for you. We also enjoy capturing Sweet 16's and other Birthday/Party events as well as Portraits (to include Seniors). Contact us for more information and pricing! New Jersey Wedding Photographer, Event Photographer and Portrait Photographer.


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For Sale	>
Dawn Crescent Upper Beeding, Steyning Offers in the Region Of £450,000
Mortgage Principle
Semi-Detached Chalet Style Home
South Facing Lounge
Ground Floor Bathroom
First Floor Wet Room
Private Drive
Wedge Estates are proud to bring to the market this four bedroom chalet bungalow located in a highly sought after location being within easy reach of an outstanding primary school and local village amenities.
This bungalow is in need of some updating and is located close to the river Adur, giving easy access to local amenities and stunning country walks. The accommodation comprises of four bedrooms, two being on the ground floor with access to the family bathroom. There is a fitted kitchen with covered porch and separate dining room area, both having views over the rear garden. There is plenty of scope to modernise the kitchen and dining room to become an open plan family room. There is an L shaped open plan lounge/ diner with a brick surround fireplace and stairs leading to the first floor. The rear garden is split over two levels with access to a larger than average Garage/ workshop with light and power. The front garden is mainly laid to lawn with flower boarders and a private driveway.
Upper Beeding has local shops within walking distance, a primary school, a recreation ground and village hall. The nearby market town of Steyning, approximately 2 miles distant offers a wider range of shopping facilities with cafes, restaurants and pubs. Steyning has both a primary and grammar school, health centre, leisure centre with a swimming pool and a library.
Upper Beeding and Steyning offer good road links to the coast and the mainline railway station at Shoreham by Sea, 5 miles distant, with rail services along the coast, to Gatwick and London Victoria. Brighton is approximately 10 miles and Worthing 8 miles. Local bus services run regularly to Brighton and Hove, Burgess Hill, Hassocks, Horsham via Henfield and Pulborough via Storrington. Horsham, Gatwick and London are accessible via the A24 and M23.
Accommodation Comprises: front door to:
Dawn Crescent Upper Beeding
Steyning BN44 3WH
County: West Sussex
Last Updated: Thursday, 14 January 2021 12:15
Stephen Wedge
Wedge Estates Limited
Please complete the form below to request a viewing for this property. We will review your request and respond to you as soon as possible. Please add any additional notes or comments that we will need to know about your request.
Phone Email Either
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Hi Laura, My name is Morey. I too am a health care professional and I am on the Body Key system. I love it. So far, in about six weeks I've lost 20 lbs. And I feel great! Keep up the good work.
Thanks for the encouragement. It's a great plan for longterm change. Congratulations on the weight loss!


6pm has Saucony Womens Cohesion TR11 Running Shoe GreyPurple 6 Medium US for $32.99.
Ready for the run, anywhere and everywhere. Where the road ends, your run begins in the Cohesion TR11. With a reinforced upper for added protection and added durability and traction to the outsole, the Cohesion TR11 lets you tackle the toughest of trails and beyond, mile after mile.


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/ History
/ United States, Canada, and Greenland
/ Canadian History: Biographies
/ Allan, Sir Hugh
Allan, Sir Hugh
Allan, Sir Hugh, 1810–82, Canadian financier and shipowner, b. Scotland. He emigrated to Canada in 1826, was employed by a large shipbuilding company in Montreal, and later founded the Allan Line of steamships. He was given the contract to build the Canadian Pacific Railway, but the Pacific scandal (1873) led to its cancellation.
See more Encyclopedia articles on: Canadian History: Biographies


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Trichiomorphus gracilipes är en skalbaggsart som beskrevs av Thierry Bourgoin 1919. Trichiomorphus gracilipes ingår i släktet Trichiomorphus och familjen Cetoniidae. Inga underarter finns listade i Catalogue of Life.

Källor

Skalbaggar
gracilipes


When Social Networking Goes Wrong: A Trip to the Land of "What If ?"
I think it would be irresponsible of me to write a series of columns about social networking without taking a look at the potential downside from a corporate perspective. As I pointed out in my last column, the numbers behind the various social networking platforms are astronomical and barely tapped, but there is a cost to this un-throttled and un-dammed channel — actually several potential costs. Let's take a quick walk through the world of "What if?" and see just what kinds of traps are waiting out there for the unsuspecting and uninformed organization.
What if you enabled, or even encouraged, employee use of social networking sites for business communications? What if, during an exchange between an employee and a customer or prospect on an open forum or blog site, some piece of sensitive, protected information was thoughtlessly or carelessly revealed? On one level, that could be corporate proprietary information or in an even worse case, personal information about a customer's client. Damage control in the Internet universe is virtually impossible, as there is little chance of recovering all traces of the unintentionally released information. Just a single event like this can have a catastrophic effect on a company's reputation, credibility and financial solvency.
Let's continue our little stroll through the land of "What If ?" What if you were subpoenaed to produce all of the records pertaining to company email and employee conversations on social networking and instant messaging? How about collaborative tools like WebEx and Microsoft Live Meeting? Can you produce transcripts of all your virtual meetings? If you can't, the fines and penalties could easily rise into the seven- or eight-figure range. Most executive managers understand the liability and laws around email archival, but many have not yet come to realize the same laws apply to Web 2.0 applications.
Well, that's all really unpleasant and scary, but what about those rascally employees out there who either purposefully or unintentionally represent your company on their personal presence sites? What if you had an employee whose personal blog, for instance, was dedicated to some unpopular or distasteful topic or was simply contrary to your corporate message? What if that employee mentioned that he works for your company in his/her profile information that is open to the entire social networking community? Striking a balance between controlling the company image and interfering with employees' personal freedoms will continue to be an issue for Human Resources, IT and Personnel Managers for some time to come.
Some institutions have responded to the threats of social networking by instituting strict anti-social networking policies and shutting down firewall ports dedicated to those applications. Others have instituted policies regulating what employees may and may not place on their personal blogs and websites. Regardless of the methodology and architecture, it is clear that every modern organization needs to manage for the potential damage and liability inherent in the social networking channels, while not being left behind by the competition and wondering, "What if we had taken advantage of the opportunities for marketing, sales, support, collaboration and outreach offered by the Web 2.0 applications?"
DAVE MARTINA [david.martina@NEPS.com] is the vice president of systems integration for NEPS, LLC of Salem, New Hampshire, a firm that provides solutions for the automation of document-intensive business processes.


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Q: Characterizing simple groups by their maximal subgroups Let $G$ be a simple group which has a maximal subgroup of the form $p:q$ (semidirect product of ${\Bbb Z}_{p}$ and ${\Bbb Z}_{q}$) where $p$ and $q$ are some primes and $q\vert(p-1)$. Also suppose that every Sylow $p$-subgroup of $G$ is ${\Bbb Z}_{p}$ and every Sylow $p$-subgroup is contained properly in exactly one maximal subgroup of $G$.
Can we get that $G\cong L_{2}(p)$.

A: The Mathieu group $M_{23}$ is a counterexample with $p=23$ and $q=11$.
But there are many (almost certainly infinitely many) counterexamples that are semilinear maximal subgroups of classical groups.
As John Shareshian pointed out, for $p=2^k+1$ a Fermat prime, there is an example with $G={\rm PSL}(2,2^k)$ and $q=2$. There are other examples with ${\rm PSL}(2,r)$, such as $r=25$ with $p=13$.
Then for $G={\rm PSL}(3,r)$ we get examples with $q=3$, including $r=3$, $p=13$; $r=5$, $p=31$; $r=7$, $q=19$; etc.
For $G={\rm PSL}(5,2)$ we have an example with $q=31$, $q=5$.


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Thirteen arrested as intelligence work between police and prisons tackles the supply of drugs
Regional Prisons Intelligence Unit of the Wales Extremism and Counter Terrorism Unit (WECTU) and Tarian has been working in close collaboration with South Wales prisons to step up enforcement on the illegal supply of drugs into prisons.
Most recently, a series of pre-planned intelligence led operations between HMP Parc and the police have resulted in 13 people being arrested in connection with supplying psychoactive substances and conspiracy to supply cannabis and other prohibited articles into prison.
One significant intervention took place after intelligence shared by staff at HMP Parc led to the arrest of visitors attempting to pass drugs to prisoners. Those arrested were vulnerable women being influenced by other parties, and joint work with the Regional Prisons Intelligence Unit (RPIU) linked these individuals to an organised crime group in the West Midlands.
On 17 November 2020, a warrant was issued in the Birmingham area, resulting in further arrests and numerous digital devices and drug paraphernalia items being recovered. Due to how they were packaged, the items appeared to also be intended for illegal supply into prison. £3,500 in cash and a high value car were also recovered.
In a separate operation between HMP Parc and the RPIU, an estimated £19,000 worth of drugs were seized - these were in the form of four letters addressed to prisoners, which had been laced with psychoactive substances. A police investigation traced the bundles back to the senders, and later resulted in two women and one man being arrested in Newport on 26 November 2020.
Assistant Chief Constable David Thorne said:
"Drugs have a detrimental effect on the rehabilitation of offenders. They increase debt, increase violence and can result in offenders continuing to be addicted when leaving the prison environment, leading to an increased risk of reoffending.
"It is only by continuing to work in close partnership with the prison authorities that we can prevent the trafficking of drugs, phones and other prohibited items into prisons.
"Such activity represents a callous exploitation of, and overt intention to benefit financially from, existing vulnerabilities within the prison population.
"The proactive, and collaborative pursuit of those who involved in this type of organised criminal activity will ensure that we achieve our joint goals of developing a safer prison environment which is more conducive to rehabilitation and to protect more effectively the vulnerable within our prison population.
"By effectively tackling organised crime groups such as these, we can bring those responsible for perpetrating the continued supply of drugs into prisons before the courts and disrupt the pernicious trade of drugs to those who are already in a vulnerable position."
Janet Wallsgrove, Director of HMP & YOI Parc, said:
"Organised criminal groups will go to great lengths to pursue profits through supplying illicit articles into prison, all of which inhibit safety, stability and ultimately rehabilitation."
"The safety of those at HMP Parc is our primary concern and these recent operations are fantastic examples of how multi-agency work can tackle illegal activity and result in safer communities inside and outside of custody."


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10. How to break up with a crappy best friend via The Cut.


Foreclosure sales are for real property only; the Sheriff's Office does not know if any structures are on the property. Further, we cannot give permission for prospective bidders to enter and inspect any structure that may be located on the property to be sold.
All properties sold at auction at the Sheriff's Office are advertised Tuesday in the Trenton Times and the Trentonian. Advertisements appear once a week for four consecutive weeks prior to the initial date of sale.
In addition to newspaper advertisements, notices of sale are posted for public viewing here on the WEB site (click here) or outside the Sheriff's Office, on the first floor, 175 South Broad Street, Trenton, New Jersey.
The Sheriff's Office does not have a list, for general distribution, of the properties to be sold. Persons interested in properties can make their own lists from newspaper legal advertisements.
Sales of property are "open-type" auction sales (no sealed bids). An opening bid of $100 is bid on the first round by the plaintiff. All subsequent bids must begin at $100 over the upset and continue at $500 increments. The property is sold to the highest bidder.
The successful bidder, upon full payment of the bid, will receive a Sheriff's Deed. This deed does not give clear title to the property. In order to obtain clear title, one must satisfy all outstanding liens and encumbrances. If a purchaser does not complete the sale he can be held liable for his deposit.
If you are interested in a particular piece of property, we recommend a title search before you actually bid. Title searches are conducted by private firms. Their telephone numbers may be found in the yellow pages of the telephone directory. A fee is charged. You may also do your own title search.
If you are the successful bidder on a piece of property, you are required to post a deposit of 20% on the total bid price. It must be paid by certified check, treasurer's check, or cash. It must be paid immediately following the signing of the Conditions of Sale.
The balance of the bid is payable and due on the 30th day from the date of sale. Lawful interest is charged on the balance due from the 11th to the 30th day.
If the property you purchased is occupied, it is your responsibility to have the occupants removed.
Deed recording fees must be paid by the purchaser to the County Clerk's office when the deed is recorded.
In most cases, the property, even after the sale, can be redeemed by the owner for a period of 10 calendar days from the date of sale.
The Sheriff has the discretionary right to make two adjournments of the sale, and no more, not exceeding two weeks for each adjournment. In order to request an adjournment a defendant must: be named on the Writ of Execution, show ID verifying identity and submit a letter requesting the adjournment with a fee of $28 in cash, money order or certified check for EACH of his two adjournments. In the case of a defendant's attorney we require your letter to state that you represent the defendant's in addition to the reason for adjournment. We will also accept an attorney check.
All fees and commissions that are collected by the Sheriff's Office are turned over to the General Treasury of the County of Mercer.
To speed your inquiry on a specific piece of property, it is helpful if you refer to the property by its address or docket number, which appears in the legal advertisement. Please feel free to contact the Sheriff's Sales Office at (609) 989-6349 or 989-6782.
Sales are conducted Wednesday at 2 p.m.
The highest bidder to be the purchaser.
The purchaser must pay 20% of the purchase price in cash, certified check, cashier's check, or treasurer's check, at time of purchase with balance due in thirty days.
If the purchaser fails to comply with any of the conditions of sale, the property will be sold a second time, the former purchaser being held responsible for all losses and expenses, and deposit to be retained by the Sheriff to be disbursed by court order.
Sold subject to restrictions of record which are unknown to me and unpaid taxes or assessments and such state of facts as an accurate survey would disclose.
A deed to be delivered to the purchaser within 30 days from date of sale, with lawful interest calculated on the balance due, from the 11th day after sale, until balance is paid.
Immediately upon the conclusion of sale, should the successful bidder fail to sign the conditions of sale and pay the 20% deposit as required herein, the Sheriff shall immediately resell the property without further public advertisement.
Sheriff's fee and commissions are taken from the struck off purchase price. All Sheriff's Sales are sold subject to a first and second mortgage, if any, and any Municipal, State or Federal liens, if any.
The attorney representing the Plaintiff will have his own conditions of sale.
We strongly urge anyone who is not familiar with Sheriff's Sale Procedures to seek legal advice and to have a Title Search run on the property before bidding on any property. The search will reveal if there are outstanding liens, which the bidder would assume if he is the highest bidder.
Sheriff's Sales are held as an open auction. The Attorney for the Plaintiff will start the bidding at $100.00. The bidding will continue until the highest bid is reached, and the highest bidder will be the purchaser. The Plaintiff's attorney normally does not allow the bid to go for less than the Judgment amount due his client. He will bid until he has reached his Upset Price. An Upset Price is the total of the Judgment due, interest, attorney's costs, Sheriff's fees, advertising costs and commissions. Once the attorney has reached his Upset Price he may stop bidding and the highest bidder, thereafter, will be the successful bidder.
The Sheriff's Sales are advertised for four weeks every Tuesday in the Trenton Times and the Trentonian prior to sale. On the fourth and final week of advertising, the property is sold on that Wednesday if the sale has not been adjourned. The Plaintiff's attorney may adjourn as many times as is necessary for any reason.
If you are planning to attend a Sheriff's Sale, you should check the Sales Notices posted on the WEB site (click here ) before or on sale date, to be sure the sale has not been adjourned, placed in Bankruptcy stay or cancelled.
This office will post a notice of sale on the property during the week of the first advertising. Our office does not enter the premises being sold for any other reason. Until the sale is final, the defendant (owner) has all rights and privileges of privacy to his property. A bidder wishing to approach the owner to see the property before the sale, is advised that he is on his own.
The owner of the property may at anytime, prior to sale, try to save his home or property in several ways. He may try to reinstate his delinquent amount owed, pay the judgment in full, obtain another loan, etc. He may also try to sell the property in order to pay the Judgment and at the same time profit from the proceeds. The defendant has a 10 day Redemption Period after the sale during which time he may object to the sale through the courts or redeem the property. The bidder, in this case, would receive his 20 percent deposit back.
The Sheriff's sale deed will be prepared and ready in approximately 30 days after the sale. The balance due on the sale must be paid no later than 30 days after sale, in accordance with the conditions of sale. It's the responsibility of the purchaser to record the deed in the Registrar of Deeds office. It is the sole responsibility of the purchaser to notify the owner he has purchased the property and now holds the deed to the property. If the defendant does not voluntarily leave the property, the purchaser must apply to the court for a Writ of Possession. Our office will serve the Writ upon the defendant which will advise him to vacate the premises within a particular period of time. If the defendant has not vacated by the stated tentative date, the Sheriff's Office will set a final date to have a moving van sent to the property and have the defendant's personal belongings removed and stored in a place of safe keeping. The costs of the moving and storage is the responsibility of the purchaser. A Writ of Possession is not necessary if the property is vacant before, during or after the sale.
Surplus Funds are defined as the amount of funds collected over the judgment amount, fees, costs and commissions that are due to the plaintiff and Sheriff. Surplus funds are generated when a third party purchaser buys the property for more than the upset amount. The main function of surplus funds is to pay any junior lien holders. Any funds left over after these lien holders are paid would be available to the defendant.
This can be ascertained by checking if the amount the property was sold for is more than the amount of the judgment. An example of this would be - Sold for is $150,000 & judgment is $120,000, there would be a possibility that there is a surplus.
The Sheriff's Office sends any surplus funds to the New Jersey State Superior Court, c/o Trust Fund Unit, after the purchaser has paid the balance of the purchase price, fees are deducted, and all financial transactions are finalized. This means that the funds are not readily available immediately following the sale, as there are instances when the Trust Fund Unit may not receive these funds for up to 2 months after the sale.
If you are the homeowner with a foreclosure case in our office and you believe there was a surplus from the sale of your home, you can contact our office or you can contact the Trust Fund Unit directly at 609-292-4012.


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Spirit of Race is een autosportteam uit Zwitserland, opgericht door Amato Ferrari, die tevens het sportwagenteam AF Corse heeft opgericht.

Geschiedenis
In 2014 maakte het team haar debuut in zowel de GT Asia Series als het United SportsCar Championship. In de GT Asia Series wist het team met Anthony Liu en Davide Rizzo als coureurs de eerste twee races van het seizoen op het Korean International Circuit te winnen, waardoor het als vierde eindigde in het kampioenschap. In het United SportsCar Championship nam het team met verschillende coureurs deel aan slechts vijf van de dertien races.

In 2015 nam het team deel aan het raceweekend op de Fuji Speedway van de GT Asia Series, waarin het met Max Wiser en Jiang Xin als derde eindigde in de tweede race. Daarnaast maakte het team haar debuut in de Asian Le Mans Series met Nasrat Muzayyin en Rui Águas.

In 2016 debuteert het team in het formuleracing in de nieuwe Formule V8 3.5, het vervolg van de Formule Renault 3.5 Series. Het team heeft de auto's van het voormalige FR3.5-team International Draco Racing overgenomen.

Formule V8 3.5-team


b. 14/08/1920 Salinas, California. d. 22/04/1945 Tendola, Italy.
DATE OF MOH ACTION: 20/04/1945 Tendola, Italy.
Hayashi was born at Salinas, California. He is the son of immigrants who were born in Japan. He is a Nisei, which means that he is a second generation Japanese-American. Working as a mechanic before the war, Hayashi enlisted in the Army from Los Angeles in May 1941.
Hayashi volunteered to be part of the all-Nisei 442nd Regimental Combat Team. This army unit was mostly made up of Japanese Americans from Hawaii and the mainland.
On April 20, 1945 near Tendola, Italy, Hayshi exposed himself to hostile fire in order to direct mortar fire onto enemy positions. Two days later, he single-handedly silenced three hostile machine guns but was killed while pursuing enemy soldiers.
For his actions during the battle, he was awarded the Army's second-highest decoration, the Distinguished Service Cross. A 1990s review of service records for Asian Americans who received the Distinguished Service Cross during World War II led to Hayashi's award being upgraded to the Medal of Honor. In a ceremony at the White House on June 21, 2000, his surviving family was presented with his Medal of Honor by President Bill Clinton. Twenty-one other Asian Americans also received the medal during the ceremony, all but seven of them posthumously.
BURIAL LOCATION: EVERGREEN CEMETERY, LOS ANGELES, CALIFORNIA.


text:
Events Services Activities Search
COVID-19 Update: Contact programs to confirm information.City of Cambridge COVID-19 Updates
Legal Services at De Novo
By De Novo Center for Justice and Healing (formerly Community Legal Services and Counseling Center)
De Novo provides free civil legal aid in the areas of family law, immigration, housing and disability benefits.
This is an ongoing program.
Monday through Friday. Morning and Afternoon.
Age Adult.
Immigration cases:
We serve clients from all of Massachusetts.
Family cases:
Disability cases:
We serve clients from Arlington, Belmont, Cambridge, Everett, Medford, Somerville, Watertown, Brookline, Boston, and Chelsea.
Housing cases:
We serve clients from Cambridge.
De Novo Office Phone
Sign-up is ongoing
All legal services De Novo provides are free of charge for clients.
47 Thorndike Street
Suite SB-LL-1
East Cambridge
De Novo provides high-quality, free civil legal assistance to low-income people living in Greater Boston, and to immigrants and refugees statewide. We offer legal assistance in the areas of child custody and domestic violence, housing/homelessness prevention, disability benefits, and immigrant and refugee rights.
Access to civil legal aid doesn't just open doors to our justice system–it empowers people with low-incomes to take control of their lives and vastly increases the health and vitality of our communities. Our services promote safety and stability by offering our clients a pathway out of poverty and the opportunity to create a better future for themselves and their families.
In 2019, De Novo gave legal assistance to over 1,100 clients.
Last updated March 11, 2020.
Is this page inaccurate or outdated? Please let us know!
More from the organization that brought you this program.
City of Cambridge and DeNovo Virtual Immigration Legal Screening Clinic
Commission on Immigrant Rights and Citizenship (CIRC), De Novo Center for Justice and Healing (formerly Community Legal Services and Counseling Center), and City of Cambridge
Wednesday, January 20 8:30am – 12pm
Also: Wednesday, February 17 8:30am – 12pm, Wednesday, March 17 8:30am – 12pm, and Wednesday, April 21 8:30am – 12pm
On the 3rd Wednesday, this FREE monthly VIRTUAL clinic offers limited consultations with an immigration attorney and the chance to learn more about how immigration law affects them and their families.
See all events from De Novo Center for Justice and Healing (formerly Community Legal Services and Counseling Center)
Psychological Counseling Services at De Novo
De Novo Center for Justice and Healing (formerly Community Legal Services and Counseling Center)
De Novo provides individual and group counseling for adults.
Volunteering Opportunities at De Novo
This is an opportunity for people to volunteer as a member of the legal, counseling, or administrative team at De Novo.
16,239 hours were contributed by 144 different volunteers in 2019.
Virtual Psychological Counseling: De Novo
We provide individual and group counseling for adults remotely during COVID-19 by meeting with clients over the phone and video conferencing.
See all programs from De Novo Center for Justice and Healing (formerly Community Legal Services and Counseling Center)
See related services
Immigrant Services and Legal Help
Contact Find It Cambridge anytime.
Call or text us at 617-686-2998
E-mail us at info@finditcambridge.org
info@finditcambridge.org
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