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	\includegraphics[width=#2cm]{#1}\caption{#3}\label{fig:#1}
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\title{
Generalized Wilson-Fisher critical points from the conformal OPE}
\author{{\bf Ferdinando~Gliozzi$^a$, Andrea~L.~Guerrieri$^{b,f}$, Anastasios~C.~Petkou$^{c}$ and Congkao~Wen$^{d,e,f}$ }}
\affiliation{$^a$ Dipartimento di Fisica, Università di Torino
and Istituto Nazionale di Fisica Nucleare - sezione di Torino
Via P. Giuria 1 I-10125 Torino, Italy.\\
  $^{b}$ Department of Physics, Faculty of Science, Chulalongkorn University,
Thanon Phayathai, Pathumwan, Bangkok 10330, Thailand. \\
$^{c}$ Institute of Theoretical Physics, Aristotle University of Thessaloniki, Thessaloniki 54124, Greece.
\\ $^{d}$ Walter Burke Institute for Theoretical Physics, California Institute of Technology, Pasadena, CA  91125
\\ $^{e}$ Mani L. Bhaumik Institute for Theoretical Physics, Department of Physics and Astronomy, UCLA, Los Angeles, CA 90095
\\ $^{f}$ I.N.F.N. Sezione di Roma Tor Vergata, Via della Ricerca Scientifica
00133 Roma, Italy
}

\date{\today}
align}r{\begin{eqnarray}{abstract}
We study possible smooth deformations of Generalized Free Conformal
Field Theories in arbitrary dimensions by exploiting the singularity structure
of the conformal blocks dictated by the null states. We derive in this way, at
the first non trivial order in the $\epsilon$-expansion, the anomalous
dimensions of an infinite class of scalar local operators,  without using
the equations of motion. In the cases where other computational
methods apply, the results agree.
align}r{\end{eqnarray}{abstract}
\pacs{}

\maketitle
\section{Introduction}

The remarkable success of the numerical conformal bootstrap
\cite{ElShowk:2012ht,El-Showk:2014dwa,Kos:2014bka,Kos:2016ysd} calls for an analytical explanation of the {\sl  unreasonable effectiveness} of conformal field theory
(CFT). It is therefore pertinent to ask whether CFT techniques can reproduce, and eventually surpass in accuracy, the perturbative results for critical indices that have been accumulated over the years for a variety of fixed point theories in different dimensions. This question has been recently asked by \cite{Rychkov:2015naa} in the context of the $\phi^4$ theory in $d=4-\epsilon$ dimensions. It was shown there that the critical exponents can be reproduced under the following three assumptions: I) The perturbative Wilson-Fisher (WF)  fixed point is described by a CFT. II) In
the $\epsilon\to0$ limit correlation functions approach those of the free theory. III) The equations of motion describe the transformation of  a primary operator in the free theory into a descendant at the WF fixed point.  Such an approach has been generalized more recently in \cite{Basu:2015gpa, Nii:2016lpa,Hasegawa:2016piv}, see also \cite{Gopakumar:2016wkt, Gopakumar:2016cpb}.

Motivated by the same questions we aim to extend the above ideas to the vast class of generalized free CFTs (GFCFTs) in arbitrary dimensions in order to study their nearby WF fixed points. We show that requiring II) above makes assumption III) redundant since the transformation of free primary operators into descendants of the interacting theory is already dictated by the analytic structure of  the null states of the GFCFTs. Then, without the use of equations of motion we calculate the leading order critical quantities in a variety of models in diverse dimensions $d$. For the known cases our results agree with previous calculations.

The 4pt  function of arbitrary scalar operators in a generic $d$-dimensional CFT
can be parametrised as
align}r{\begin{eqnarray}{eqnarray}
&& \langle {\cal O}_1(x_1){\cal O}_2(x_2){\cal O}_3(x_3){\cal O}_4(x_4)\rangle=
\cr
&&
\frac{g(u,v)}
{\vert x_{12}\vert^{\Delta^{+}_{12}}
\vert x_{34}\vert^{\Delta^{+}_{34}}} \left( {\vert x_{24}\vert \over \vert x_{14}\vert} \right)^{\Delta^{-}_{12}}
\left( {\vert x_{14}\vert \over \vert x_{13}\vert} \right)^{\Delta^{-}_{34}} \,,
\label{4pt}
align}r{\end{eqnarray}{eqnarray}
where $\Delta^{\pm}_{ij} = \Delta_{i} \pm \Delta_{j}$ and $\Delta_{i}$ is the scaling dimension of ${\cal O}_i$, while $u={x_{12}^2 x_{34}^2 \over x_{13}^2 x_{24}^2}$ and $v={x_{14}^2 x_{23}^2 \over x_{13}^2 x_{24}^2}$ are the cross ratios. This corresponds to inserting the conformal OPE in the direct channel, in which case the function $g(u,v)$ can be expanded in terms of conformal blocks
$G^{a,b}_{\Delta,\ell}(u,v)$, i.e. eigenfunctions of the quadratic
Casimir operator of SO$(d+1,1)$:
align}r{\begin{eqnarray}{equation}
g(u,v)=\sum_{\Delta,\ell}c_{\Delta,\ell} G^{a,b}_{\Delta,\ell}(u,v).
align}r{\end{eqnarray}{equation}
Here $a=-\Delta^-_{12}/2$ and $b=\Delta^-_{34}/2$, and
$\Delta$ and $\ell$ are the scaling dimensions and the spin of the
primary operators that are exchanged.
When $\Delta$ takes some particular values the generic conformal blocks are singular. It has been shown in \cite{Kos:2014bka} that the singularities are poles and they are associated to null states as align}r{\begin{eqnarray}{equation}
G^{a,b}_{\Delta,\ell}=F^{a,b}_{\Delta,\ell}+\sum_k R^{a,b}_k\frac{G^{a,b}_{\Delta'_k,\ell'_k}}
{\Delta-\Delta_k}\,,
\label{generalcb}
align}r{\end{eqnarray}{equation}
where $F$ is an entire function of $\Delta$. The poles in (\ref{generalcb}) reflect the
contribution
of a null state at  $[\Delta_k,\ell_k]$; the form of the residue tells
us that if
$R^{a,b}_k\not=0$ such a null state has a descendant at $[\Delta_k',\ell_k']$.
The explicit formulas for $[\Delta_k,\ell_k]$, $R^{a,b}_k$ and
 $[\Delta_k',\ell_k']$ can be found in  \cite{Kos:2014bka}.
Another, equivalent, way to obtain them is to consider the following
expansion,
valid  for arbitrary  $a,b,d $ and $\delta$,
align}r{\begin{eqnarray}{equation}
u^\delta=\sum_{\tau=0}^\infty\sum_{\ell=0}^\infty
\frac{(-1)^\ell(2\nu)_\ell}{\tau!\ell!(\nu)_\ell(\nu+\ell+1)_\tau}
c^{a,b}_{\delta,\tau,\ell}
G^{a,b}_{2\delta+2\tau+\ell, \ell}(u,v),
\label{ud}
align}r{\end{eqnarray}{equation}
here $(x)_y=\frac{\Gamma(x+y)}{\Gamma(x)}$ is the Pochhammer symbol
and $\nu=\frac d2 -1$. The coefficients above are given by
align}r{\begin{eqnarray}{equation}
\label{cab}
c^{a,b}_{\delta,\tau,\ell}=\frac{\prod_{i=a,b}(i+\delta)_{\ell +\tau}
(i+\delta-\nu)_\tau}{
(\Delta-1)_\ell(\Delta-\nu-\tau-1)_\tau(\Delta-2\nu-\tau-\ell-1)_\tau}
align}r{\end{eqnarray}{equation}
with $\Delta=2\delta+2\tau+\ell$. The three families of simple poles of
$ c^{a,b}_{\delta,\tau,\ell}$  correspond exactly to the null
states
of  (\ref{generalcb}). Requiring the cancellation of these
poles in the RHS of (\ref{ud}) yields the explicit form of the residues
of (\ref{generalcb})  \cite{longpaper} which precisely produce all the results of \cite{Kos:2014bka}.
In the following we need only the dimensions and the residues of those
scalar null states  having a scalar descendant. Their scaling dimensions
$\Delta_k$ and those of the scalar descendants $\Delta_k'$ are labelled by an integer $k$:
align}r{\begin{eqnarray}{equation}
\Delta_k=\frac d2-k\,,~\Delta_k'=\frac d2+k\,,\;\;k=1, 2 \, , \dots \, ,
\label{null}
align}r{\end{eqnarray}{equation}
and the corresponding residue is given by
align}r{\begin{eqnarray}{equation}
R^{a,b}_k=-\frac{(-1)^k k \prod_{c=\pm a,\pm b}(\frac d4-\frac k2-c)_k}
{(k!)^2(\frac d2-k-1)_{2k}}\,.
\label{residue}
align}r{\end{eqnarray}{equation}
Notice that $\Delta_k+\Delta_k'=d$ which means the above operators are {\it shadows} of each other.

We want to apply such universal properties of the conformal blocks to the
study of smooth deformations of GFCFTs.
Scalar GFCFTs are constructed by a single elementary scalar field $\phi_f$
with dimension $\Delta_{\phi_f}$. Its two-point function is given by
$\langle\phi_f(x_1)\phi_f(x_2)\rangle =1/x_{12}^{2\Delta_{\phi_f}}$
and the three-point function of $\phi_f$ vanishes. All other correlation functions,
either of $\phi_f$ or of its composites, are given by Wick contractions.
We are particularly interested to the cases in which $\Delta_{\phi_f}=\frac d2 -k$. They correspond to GFCFT  the have a Lagrangian description as massless free theories with $\partial^{2k}$ kinetic term that can be coupled to the stress energy tensor \cite{Diab:2016spb, Guerrieri:2016whh, Osborn:2016bev, Brust:2016gjy}.
The  $k=1$ case corresponds to the free canonical theories.
Some GFCFTs with $k>1$ play an important role in the study of $1/N$
expansions in Gross-Neveu and $O(N)$ vector models in high dimensions
\cite{Diab:2016spb, Guerrieri:2016whh, Osborn:2016bev}. Applying the Wick
contractions to the product $\phi_f^p(x)\phi_f^{p+1}(y)$
generates the OPE (see Eq. (\ref{pp1}))
align}r{\begin{eqnarray}{equation}
[\phi^p_f] \times [\phi^{p+1}_f]=\sqrt{p+1}[\phi_f]+\dots \, .
\label{ope}
align}r{\end{eqnarray}{equation}
Throughout the paper, we normalize the operator as $[\phi^p_f] = \phi^p_f/\sqrt{p!}$ such that the two-point function takes the following simple form,
align}r{\begin{eqnarray}{eqnarray}
\langle [\phi^p_f](x_1) \,\, [\phi^p_f](x_2)\rangle = {1 \over (x^2_{12})^{\Delta_{\phi^p_f}} } \, ,
align}r{\end{eqnarray}{eqnarray}
where $\Delta_{\phi^p_f}$, the dimension of the composite operator $[\phi^p_f]$, is simply $p\,\Delta_{\phi_f}$ for a free theory.
Since $\Delta_{\phi_f}=\frac d2-k$, there is  a possible contribution of the
null state (\ref{null}), however, according to (\ref{residue}),
the residue $R^{a,b}_k$ is zero. We will deform this free theory by
replacing $\phi_f^p\to\phi^p$ with
align}r{\begin{eqnarray}{equation} \label{eq:anomalousd}
\Delta_{\phi^p}=\Delta_{\phi^p_f}+\gamma_p=\Delta_{\phi^p_f}+\gamma^{(1)}_p\epsilon+\gamma^{(2)}_p\epsilon^2+\dots \, .
align}r{\end{eqnarray}{equation}
We also deform the relevant OPE coefficients such that they have a smooth $\epsilon\rightarrow 0 $ limit to their corresponding free values.
As a consequence now $R^{a,b}_k\propto \epsilon^2\not=0$ and in the conformal block
$G_{\Delta_\phi,0}^{a,b}$ a new sub-representation associated to a
descendant of dimension $\Delta_k'=\frac d2+k$ appears.
If in the free field theory OPE there is a primary operator of dimension
$\Delta_k'$ we say that the theory is smoothly deformable. In the interacting
theory such  an operator is promoted to a descendant of the null state. The
matching of $R^{a,b}_k$ with the OPE coefficient of the free theory yields an
equation for the anomalous dimensions of the involved operators.
The systematic study of these equations allows us to find the first
non-trivial anomalous dimensions of $\phi^p$ for a huge class of GFCFTs, in arbitrary dimensions. Our results include the known cases of Wilson-Fisher points near
canonical free field theories. Equations (\ref{eq:finding1}, \ref{eq:finding2}), and (\ref{eq:finding3}, \ref{eq:finding4}, \ref{eq:finding5}, \ref{eq:finding6}, \ref{eq:finding7}) show our main findings.
\section{The Generalized Wilson-Fisher critical points}
Our  general strategy to find smooth deformations of GFCFTs consists in
constructing
a suitable 4pt function of a generalized free theory at arbitrary space
dimension $d$ and switching on interaction  by simply  replacing
$d\to d-\epsilon$ and $\Delta_{\phi^p_f}\to \Delta_{\phi^p}$ according to
(\ref{eq:anomalousd}). As discussed in the previous section this procedure
defines actually a smooth deformation of the nearby free OPE only if does not
generate new primary operators in the limit $\epsilon\to 0$.
In this way we are essentially studying Generalized Wilson-Fisher (GWF)
critical points. Given that we start with arbitrary $\Delta$  and $d$
we have a huge theory space to explore. In the following we will discuss
just  a few nontrivial examples that include most of the known results
obtained for the Wilson-Fisher critical points
by other methods, but also yield some new results.

\subsection{The $\phi^{2n}$ critical points}

Consider the generic free OPE
align}r{\begin{eqnarray}{equation}
\label{pp1}
[\phi^p_f] \times [\phi^{p+1}_f]=\sum_{n=1}^{p+1} \lambda_{p,p,2n-1}
[\phi^{2n-1}_f]+\text{spinning blocks} \, ,
align}r{\end{eqnarray}{equation}
with the OPE coefficients being
align}r{\begin{eqnarray}{equation}
\lambda_{p,p,2n-1}=B_{2n-1,n}\sqrt{\frac{p+1}{(2n-1)!}}(p-n+2)_{n-1}\,,
align}r{\end{eqnarray}{equation}
here $B_{n,m}$ is the binomial coefficient. For $\Delta_{\phi_f}=d/2-k,\,k=1,2,3, \ldots$, inserting (\ref{pp1}) into the direct channel of the 4pt function $\langle\phi^p\phi^{p+1}\phi^p\phi^{p+1}\rangle$  one obtains an expansion in terms, among others, of scalar conformal blocks of the type
$G^{-a_f,a_f}_{\Delta_{\phi^{2n-1}_f}}(u,v)$ with $a_f=\Delta_{\phi_f}/2$. When we smoothly deform the theory, each OPE coefficient should be modified with a term which vanishes in the limit of $\epsilon \rightarrow 0$. Most importantly the operator $\phi^{2n-1}$ becomes a descendant, which should be removed from the OPE. As we discussed in the previous section, the conformal block in the interacting theory $G^{-a,a}_{\Delta_\phi}$ has a singularity with a residue proportional to the conformal block $G^{-a,a}_{{d \over 2}+k}$ which is precisely the missing conformal block of the operator $\phi^{2n-1}$ in the free theory in the limit $\epsilon \rightarrow 0$. For the interacting theory, we have $a=a_f + \gamma_{{p+1}}-\gamma_{p}$ and $\Delta_\phi=\Delta_{\phi_f} + \gamma_{1}$, with $\gamma_n$ being the anomalous dimensions of $\phi^n$ as defined in (\ref{eq:anomalousd}). Matching the operator dimensions requires $d=2nk/(n-1)$.
Using then the explicit result for the residue in (\ref{residue}), the matching condition gives
align}r{\begin{eqnarray}{equation}
\lambda^2_{p,p,1} {R_k^{-a,a} \over \Delta_\phi - \Delta_{\phi_f}} =\lambda^2_{p,p,2n-1} \, .
align}r{\end{eqnarray}{equation}
Using explicit form of $R_k^{-a,a}$ in (\ref{residue}) and performing the $\epsilon$-expansion yields
align}r{\begin{eqnarray}{equation}
(p+1)\frac{(-1)^{k+1}\left( \frac{d}{2} -k\right)_k}{4k\left( \frac{d}{2} \right)_k}\frac{(\gamma_{{p+1}}^{(1)}-\gamma_{p}^{(1)})^2 \epsilon^2 + \ldots }{\gamma_{1}^{(1)} \epsilon + \gamma_{1}^{(2)} \epsilon^2  + \ldots }=\lambda^2_{p,p,2n-1} \, .
align}r{\end{eqnarray}{equation}
Since the RHS is finite, this immediately implies $\gamma_{1}^{(1)}=0$.
The above matching equation then leads to the following recursion relation
align}r{\begin{eqnarray}{equation}
\gamma_{{p+1}}^{(1)}-\gamma_{p}^{(1)}= \kappa(k,n) (p-n+2)_{n-1}\, ,
align}r{\end{eqnarray}{equation}
with
align}r{\begin{eqnarray}{equation} \label{eq:kappa}
\kappa^2(k,n)=\frac{(-1)^{k+1}4 k \,B^2_{2n-1,n}\left(\frac{n k}{n-1} \right)_k}{(2n-1)!\left(\frac{k}{n-1}\right)_k}\gamma_1^{(2)} \,,
align}r{\end{eqnarray}{equation}
where we used $d=2nk/(n-1)$. The apparent sign ambiguity of $\kappa(k,n)$ will be solved in a moment. Using the fact $\gamma_{0}=0$ the recursion
relation gives
align}r{\begin{eqnarray}{equation} \label{eq:solution}
\gamma_{p}^{(1)}= \frac{\kappa(k,n)}{n}(p-n+1)_n.
align}r{\end{eqnarray}{equation}
The crucial observation is that the operator $\phi^{2n-1}$ that becomes a descendant of $\phi$ has a fixed dimension, namely ${d \over 2} + k$. From this fact we deduce that its anomalous dimension is $\gamma^{(1)}_{{2n-1}}=n-1$. Using this we fix $\kappa(k,n) = n(n-1)/(n)_n$, and plugging this back into (\ref{eq:solution}) yields
align}r{\begin{eqnarray}{eqnarray} \label{eq:finding1}
\gamma_{p}^{(1)}= \frac{(n-1)}{(n)_n}(p-n+1)_n \, ,
align}r{\end{eqnarray}{eqnarray}
which is interestingly independent of $k$.
From (\ref{eq:kappa}), we then obtain the anomalous dimension of $\phi$ at order $\epsilon^2$
align}r{\begin{eqnarray}{eqnarray} \label{eq:finding2}
\gamma^{(2)}_1 = (-1)^{k+1} 2 { n \left( {k \over n-1} \right)_k \over k \left( {n \, k \over n-1} \right)_k } (n-1)^2 \left[ { (n!)^2 \over (2n)!} \right]^3 \, .
align}r{\end{eqnarray}{eqnarray}
A few comments are in order: in the case of $k=1$, namely for the canonical scalar, $\gamma^{(2)}_1$ reduces to  $2(n{-}1)^2 \left[ { (n!)^2 \over (2n)!} \right]^3$ which is well-known multicritical result \cite{book}: for $n=2$ it corresponds to the  $\phi^4$ theory in $d=4-\epsilon$ while $n=3$  to the $\phi^6$ theory in $d=3-\epsilon$. More generally when $k>1$, it is a smooth deformation of scalar GFCFT with $\Delta_{\phi}={d \over 2}-k={k \over n-1}$ in $d={2nk \over n-1}$. For $k>1$, we have assumed that we only turn on one possible marginal deformation of the form $\phi^{2n}$, in principle one may have marginal interactions with derivatives. Notice also that $k>1$ allows us to study multicritical, but non unitary, theories in integer dimensions $d>6$.

\subsection{O$(N)$ models}
Here we apply our method to theories with global O$(N)$ symmetry. We consider scalars $\phi_i$, $i=1,2,..N$ with $\Delta_{\phi_i} = d/2-k$ in $d=3k$ and $d=4k$ as our examples. We denote $\sum_i \phi_i\phi_i = \phi^2$ and consider the following free OPEs
align}r{\begin{eqnarray}{eqnarray}
\!\!\!&&  [\phi_i (\phi^2)^{p-1}] \times [(\phi^2)^p] = \sqrt{2p \over N} \left( [\phi_i]
+ \sqrt{ (6p{+}N{-}4)^2 \over 2(N+2)}   [ \phi_i \phi^2 ] \right.
\cr
\!\!\! &+&  \left. \sqrt{2 (10p+3N-8)^2 (p-1)^2\over  (N+4)(N+2)} [ \phi_i (\phi^2)^2 ] \right) + \ldots \, , \cr
\!\!\!&&[(\phi^2)^p] \times [\phi_i (\phi^2)^p] = \sqrt{{2p+N \over N}}
\left( [\phi_i]
+  \sqrt{{18 p^2 \over N+2}} [ \phi_i \phi^2 ] \right. \cr
\!\!\!&+&  \left.
 \sqrt{ 2p^2(10p{+}N{-}6)^2 \over (N+2)(N+4) } [ \phi_i (\phi^2)^2 ] \right)
 + \ldots \,.
align}r{\end{eqnarray}{eqnarray}
Again when the interaction turns on, the operator $[ \phi_i \phi^2 ]$ becomes a descendant at $d=4k- \epsilon$, while $[ \phi_i (\phi^2)^2 ]$ becomes a descendant at $d=3k- \epsilon$. For $d=4k- \epsilon$ the matching condition is given by following two relations
align}r{\begin{eqnarray}{eqnarray} \label{eq:tworelations}
\frac{(-1)^{k+1}(k)_k}{4k(2k)_k}\frac{(\gamma_{p-1,1}^{(1)}-\gamma_{p,0}^{(1)})^2}{\gamma_{0,1}^{(2)}} &=& \frac{(6p+N-4)^2}{2(N+2)} \, , \cr
\frac{(-1)^{k+1}(k)_k}{4k(2k)_k}\frac{(\gamma_{p,1}^{(1)}-\gamma_{p,0}^{(1)})^2}{\gamma_{0,1}^{(2)}}
&=&\frac{18p^2}{N+2}\, .
align}r{\end{eqnarray}{eqnarray}
Here we denote anomalous dimension of $(\phi^2)^{p}$ as $\gamma_{p,0} =\gamma^{(1)}_{p,0} \epsilon + \gamma^{(2)}_{p,0} \epsilon^2 + \ldots $, and similarly for $\phi_i (\phi^2)^{p}$, we have
$\gamma_{p,1} =\gamma^{(1)}_{p,1} \epsilon + \gamma^{(2)}_{p,1} \epsilon^2 + \ldots $.
Removing $\gamma^{(1)}_{p,0}$ from (\ref{eq:tworelations}), we obtain a recursion relation of $\gamma^{(1)}_{p,1}$, whose solution is given by \cite{comments}
align}r{\begin{eqnarray}{eqnarray}
\label{ONrec}
\gamma_{p,1}^{(1)}=\beta(k,N)\, p(6p+N+2)\, ,
align}r{\end{eqnarray}{eqnarray}
with $\beta^2(k,N) = (-1)^{k+1}\frac{2\,k(2k)_k}{(k)_k(N+2)}\gamma_{0,1}^{(2)}$.
As before $p=1$ is a special case where $\phi^i \phi^2$ becomes a descendant with a fixed conformal dimension $d/2+k$, this leads to $\gamma^{(1)}_{1,1}=1$. Thus we have
align}r{\begin{eqnarray}{eqnarray} \label{eq:finding3}
\gamma_{0,1}^{(2)}=(-1)^{k+1}\frac{(k)_k }{2k (2k)_k}\frac{N+2}{(N+8)^2}\, .
align}r{\end{eqnarray}{eqnarray}
Plugging this result back to (\ref{ONrec}) we also obtain,
align}r{\begin{eqnarray}{eqnarray} \label{eq:finding4}
\gamma^{(1)}_{p,1} = { p (6p+N+2) \over N+8 }  \, , \quad
\gamma^{(1)}_{p,0} = { p (6p+N-4) \over N+8 }  \, .
align}r{\end{eqnarray}{eqnarray}
A similar analysis for the theory in $d=3k-\epsilon$ gives
align}r{\begin{eqnarray}{eqnarray} \label{eq:finding5}
\gamma_{0,1}^{(2)}=(-1)^{k+1}\frac{(k/2)_{k}}{8k(3k/2)_k}\frac{(N+2)(N+4)}{(3N+22)^2} \, ,
align}r{\end{eqnarray}{eqnarray}
as well as
align}r{\begin{eqnarray}{eqnarray} \label{eq:finding6}
\gamma^{(1)}_{p,1} &=& { 10 p + 3N+2 \over 3 (22+3N)} p (2 p-1)\, , \cr
\gamma^{(1)}_{p,0} &=& { 2(10 p + 3N-8) \over 3 (22+3N)} p (p-1) \, .
align}r{\end{eqnarray}{eqnarray}
The results of $\gamma^{(2)}_{0,1}$ for $k=1$ agree with known results using other methods~\cite{O(N)known1, O(N)known2}. By considering different correlators, one can obtain anomalous dimensions for other operators \cite{longpaper}. For instance, for the anomalous dimension $\gamma^{(1)}_{p,1,1}$ of the symmetric traceless tensor $ \phi_i \phi_j (\phi^2)^p -{1\over N} \delta_{ij} (\phi^2)^{p+1}$ we have,
align}r{\begin{eqnarray}{eqnarray} \label{eq:finding7}
\gamma^{(1)}_{p,1,1}  &=& \frac{2+p(8+N+6p)}{N+8}  \, ,   \quad d=4k-\epsilon \, , \\
\gamma^{(1)}_{p,1,1}  &=& \frac{2p(2+3p(N+4)+10p^2)}{3(3N+22)} \, ,  \quad d=3k-\epsilon \, . \nonumber
align}r{\end{eqnarray}{eqnarray}

\section{Conclusion}
In this letter we applied general properties of CFTs,  and in particular the singularity structure of generic  conformal blocks, to study the possible smooth deformations of GFCFT's in arbitrary dimensions. Our non-trivial results correspond to Generalized Wilson-Fisher critical points.  The examples presented in this short note  include general classes of multicritical points and O$(N)$ invariant theories. Our corresponding results for theories with multiple deformations will appear in the longer version of this work \cite{longpaper}. Combining the OPE structure with
 universal properties of certain scalar null states we
derived, at the
first non-trivial order in the $\epsilon$-expansion, the anomalous dimensions
of an infinite class of scalar local operators. In the particular cases where
other computational methods were applied, the results agree. Our method allows us to put huge classes of critical theories under a unified calculation scheme. We also  remark that unlike the usual conformal bootstrap program, neither crossing symmetry nor unitarity play crucial roles in our scheme. Therefore, we believe that our method, properly extended, can be useful to study non-unitary critical systems that are relevant in physics. As a final remark, we observe that we have considered even marginal deformations of the form $\phi^{2n}$. When the deformation is odd, namely  $\phi^{2n-1}$, our method appears to be less powerful. Furthermore it is of great interest to consider more general deformations (such as turning on multiple marginal interactions) and more general operators (such as operators with spins). More details on these questions as well as on the calculations presented in this letter will appear in the longer version of our work \cite{longpaper}.
\section{Acknowledgements}
\small{ Our work has been strongly inspired by some unpublished notes of Yu
Nakayama on smooth deformations of free-field theory in $d=6-\epsilon$
dimensions. We thank him for sharing with us his notes. We would also like to thank M. Bianchi and D. Simmons-Duffin for helpful discussion.
F.G. wishes to thank the OIST of Okinawa where part of this work was done.
The work of C.W. is supported by DOE Grant No. DE-SC0010255.  A. C. P. wishes to thank CPHT \'Ecole Polytechnique, for its warm hospitality during the final stages of this work. The work of A.~L.~G.
is funded under CUniverse research promotion project by Chulalongkorn University (grant
reference CUAASC). }

redpajama_set_name: RedPajamaArXiv


The other day my three year old son stubbed his toe for the first time ever. I don't know how it happened, but he stubbed it pretty bad. He needed a band-aid for real and not just for the psychological benefits. As I put a band-aid on him he asked me if I need one too.
So we put a band-aid on my big toe and I left it there for the rest of the day.
The strangest thing happened that night. My wife pulled the sheets up quickly and I winced as they rubbed against my feet because I thought it would hurt my stubbed toe.
But my toe was perfectly fine. I only put that band-aid on for moral support. But after wearing it all day my mind was convinced that I was hurt.
Brains are weird. If something communicates to them enough times that a thing is true, they start to think it is true. My brain was convinced my toe was hurt and I acted as if it was, simply because I had been wearing a band-aid all day.
Now think about how we tell people the gospel. Where do we start? Always with sin and always with death. We give little kids salvation bracelets and the first color is black. We think the first thing we need to know about God is that we are sinners. We tell our kids that they deserve death.
And what does this do? It convinces us that we are totally depraved. Totally worthless. Totally unwanted. And then our brains act on it.
But that isn't where the Bible starts. The Bible starts with a man bearing God's image. The Bible starts with man being the steward of all creation. The Bible communicates to us from the very beginning that we are not depraved, we have worth, and that we are wanted. We need to get that straight before we understand anything else. Is there sin? Yes. Does it cause problems? Yes. But why does God want to heal sin instead of just stamp it out? Because he loves us.
In the Bible, the first thing we need to know about God is that he loves us and wants to be with us.
I think this is best illustrated in John 8.
Jesus famously tells them that those of them who haven't sinned should start the stoning. After this they, of course, leave.
What a strange order to say that, right? I think he must have meant to say, "Go and sin no more and I will not condemn you." That is the Jesus I was taught in Sunday School. I'm a sinner and I am worthless and I need to stop sinning so that Jesus can love me. God is so willing and eager and happy to send me to hell. I deserve death and hell.
But that isn't what Jesus said. He said "I don't condemn you, go and sin no more." The order is important. He has freed her from this band-aid on her soul convincing her that she is wounded and as soon as she is free of that she can go and sin no more.
The problem is that we think sin is breaking rules. We think that there are the ten commandments and that when we don't keep them we are sinning. But sin is being out of union with God. When we are out of union with God we act like it. Instead of thinking that when we break the ten commandments we sin we should think that when we sin we break the ten commandments That is why Paul says the law shows us that we are sinners, because sinners will break the law. This is why Isaiah says our sin separates us from God. It isn't that God can not reach past our wrong doing (Isaiah says he can) but because our separation IS sin.
What we believe affects what we do. What we teach affects what we believe. We can either teach believe we are unwanted and go on sinning or we can believe that we are valued and go and sin no more.
What John 8 teaches us is that we should still throw sinners at the feet of Jesus, but not so that he can condemn them. We take people to Jesus so that he can take off their band-aids and bring them back into the divine union they were intended for.
Previous Article Six Things You Can Do RIGHT NOW to Fight Modern Day Slavery.


AUSTRALIAN parents are the best in the world for spending time with their children.
According to the Australian Research Alliance for Children and Youth (ARACY), Aussie parents get top marks for the amount of time they spend reading to, interacting with and caring for their children.
The Organisation for Economic Co-operation and Development (OECD) found Australian children spend more than four hours per day with their parents, longer than all other countries measured including the US, UK, Finland and Sweden.
But despite more parental interaction our kids are still getting dumber.
ARACY'S major five-year snapshot into the state of Australian kids revealed exclusively by News Corp Australia shows academically they're failing.
In 2003, 88 per cent of 15-year-olds were at Level 2 or above for reading - dropping to 82 per cent in 2015.
For maths 86 per cent were at Level 2 or above in 2003 compared to 79 per cent in 2015.
On science 87 per cent of children were at Level 2 or above in 2006 compared to 82 per cent in 2015.
Students who perform below Level 2 are likely to not be able to participate in real-life situations and are considered low performers.
This comes despite retention rates through to Year 12 rising and the pressure our kids feel from homework the second worst among 26 countries measured by the OECD.
The ARACY report card, released every five years since 2008, pulls together data from a range of sources, including the Trends in International Mathematics and Science Study, Progress in International Reading Literacy Study, Programme for International Student Assessment, Australian Bureau of Statistics and the OECD.
Our children are failing academically.
In addition to the slide in academic performance for 15-year-olds, pre-school attendance for 4-5-year-olds has also fallen - from 85 per cent in 2011 to 83.3 per cent in 2014.
Australia ranked 35 of 40 nations surveyed by the OECD in 2014 for pre-school attendance.
The number of children with less than four educational possessions - such as books, desk, or a computer has risen from 32 per 1000 in 2009 to 41.1 per 1000 in 2015.
And long-term unemployment among 15-24-year-olds is skyrocketing - up from 0.6 per cent in 2006 to now 5.9 per cent in 2014.
Immunisation rates for two-year-olds have dropped and we're among the worst in the world for vaccinations on whooping cough and measles for this age cohort.
The percentage of families living in overcrowded housing - with more than two people to a room - has risen.
Stephen Bartos, ARACY chief executive, said the report card should be a "wake up call" to all areas of society to do better for our children.
The picture was not great for our kids, especially compared to the rest of the world.
"Australia can do better and should do better. It is everyone's responsibility and this should be a wake up call that our kids should be more of a priority," Mr Bartos said.
He said there were some good measures in the report such as the rate of smoking and substance abuse falling among young people and fruit consumption among children rising.
Education Minister Simon Birmingham said the government was doing all it could to improve kids school performance but that reforming schools was not the only answer.
"Solutions are unlikely to lie in schools alone and require parents to think what more they can do at home to help and everyone to consider how recent changes like the pervasiveness of technology are used for advancement not distraction," he said.
Adrian Piccoli, director of the newly formed Gonski Institute for Education, said there was a culture in Australia of not fully respecting education that needed to change.
"Schools and teachers are also being asked to do more and more - rather than just focusing on literacy and numeracy," he said.
On vaccinations, Margie Danchin, paediatrician and senior research fellow with the Murdoch Children's Research Institute, said the statistics should be of concern.
"I do think that there is underlying vaccine hesitancy in the community and we need to think about how we can encourage more parents to vaccinate their children when they are supposed to."
On overcrowded housing Malcolm Gunning, president of the Real Estate Insitute of Australia said cost of living pressures were playing into the increase.
"There is a real affordability issue and many kids are choosing to move back with their parents or never leave in the first place," he said.
"Some ethnic communities are also finding they need to stick together simply because living in our cities is so expensive."
There are grave concerns that immunisation rates have dropped among toddlers.
IMMUNISATION rates have dropped among two-year-olds as Australia's OECD ranking on whooping cough and measles continues to slip.
While Australia has made strides overall on five-year-olds' immunisation rates nationally, largely in part to The Sunday Telegraph's No Jab No Play campaign, parents are still failing to get the message for their two-year-olds and some experts suggest the anti-vax movement may be gaining ground.
In 2008, 92.7 per cent of two-year-olds were fully immunised, compared to just 90.5 per cent in 2017.
In 2015 Australia ranked near the bottom in the OECD for measles immunisation (33 of 35) and 31 of 35 for whooping cough vaccination.
For five-year-olds the percentage of fully vaccinated children is 94 per cent, up from 90.8 per cent in 2012.
The Australian Research Alliance for Children and Youth (ARACY) five-year report card released today highlights the problem with our vaccination rate for two-year-olds and shows it could be in part because the anti-vax movement was making headway or at the very least parents were requestioning the need for vaccinations.
ARACY chief executive Stephen Bartos said parents who didn't vaccinate their kids at the right ages were "just being selfish".
"They are putting other kids at risk and it is important to stick to the national guidelines on immunisation," he said.
Murdoch Children's Research Institute paediatrician and senior research fellow Margie Danchin, who specialises in vaccination, said many new parents were expressing hesitancy on vaccination.
Dr Danchin said the drop could be due to anti-vaxxers peddling their untrue message that vaccines were unsafe but also that parents were worried about the false suggestion autism has a link with the MMR (measles, mumps, rubella) vaccine, which is delivered at age two.
"I do think that there is an underlying vaccine hesitancy creeping in," Dr Danchin said.
"Parents need to understand delaying vaccines comes at a cost - you are not protecting your child when they are most vulnerable for the disease."
A since discredited pamphlet distributed by anti-vaxxers. Experts are concerned messages like this are aiding the anti-vax movement in gaining ground.
Kirsty Douglas, professor of general practice at the Australian National University, said Australia's status compared to other countries on measles and whooping cough vaccination was of concern.
She said those countries with high rates of immunisation were obviously doing things differently to Australia.
A recent outbreak of the disease could also have helped boost their rates as more people are knowledgeable about the dangers of not vaccinating.
But she said it was difficult to pinpoint exactly why there was a difference as health systems in individual countries differ.
"Their health systems obviously drive vaccination more effectively than ours does," Professor Douglas said.
"Driving vaccination is a complex issue.
"I suspect in Australia because we haven't seen large outbreak of these diseases in a while that we have become immune or a little distanced from reality."
Some experts suggest in countries like Sweden and Japan vaccination rates could be higher because of the altruistic nature of society where individuals are motivated to immunise so others don't get sick - rather than themselves.
Kids hate vegetables more than ever.
And two-year-old vaccination rates could be much lower than the five-year rate because financial benefits of vaccinating such as No Jab No Pay may not reach maximum potential until 4-5-years.
AMA president Michael Gannon said he didn't believe the anti-vax campaign was gaining ground but more that parents were using the misinformation in the public arena to justify putting off vaccinations.
"This is really disappointing and it is simply not good enough whatever the explanation," Dr Gannon said.
"I don't believe that anti-vaxxers are winning the hearts and minds of parents but what we do see is that some of the negative messaging they put out does feed into perhaps the laziness or the lack of will to make sure that everything is done at the recommended times."
The Department of Health said recent addition of vaccines to the National Immunisation Program could be impacting the drop in fully immunised two-year-olds.
However that still does not explain Australia's poor rating on the world stage for measles and whooping cough that have been longstanding vaccines on the NIP.
Health Minister Greg Hunt said Australia had a great record on immunisation but more could always be done.
"We have some of the highest rates on immunisation rates in the world but we must always try to boost them further," Mr Hunt said.
"I have no time for the false and reckless claims made by anti-vaxxers and I will continue call out their dangerous claims."
He said the government was continually investing in vaccinations.
"This year alone, we're investing $460 million in vaccines and activities which boost immunisation. This includes free vaccines against 17 vaccine preventable diseases, including 14 diseases for children aged four years or under."
AUSTRALIA is failing on the world stage when it comes to bullying, trailing the US, Russia and even Kazakhstan.
In the wake of 14-year-old Dolly Everett's suicide due to bullying that shook the nation, it can be revealed bullying among Year 4 students in Australia is among the worst in the world.
According to the Australian Research Alliance for Children and Youth's (ARACY) five-year report card on kids released today Australia ranks 40 out of 49 countries surveyed on Year 4 bullying.
Nineteen per cent of Year 4 students are bullied weekly and 35 per cent are bullied monthly based on data from the Progress in International Reading Literacy Study.
Fifteen per cent of 15 to 19-year-olds say they are extremely concerned about bullying.
This also comes as mental health issues among our kids continue to rise.
In 2014-15 a total of 15.4 per cent of Australians aged 18-24 years suffered high or very high psychological distress - up from 11.8 per cent in 2011.
The number of 15-19-year-olds with a probable serious mental illness has also increased from 18.7 per cent in 2012 to 22.8 per cent in 2016.
ReachOut youth mental health service CEO Jono Nicholas said the rise of cyber bullying meant many young people could not escape the reaches of the schoolyard bully in the modern 24/7 world.
"The data supports what we have known in Australia for a long time - that mental health is a major issue for Australian young people and rates of bullying continue to be far too high," Mr Nicholas said.
"These two issues need to be at the top of any government's agenda with more investment needed for frontline services to help young people and their parents respond to the current crisis."
Mental health figures among children and teenagers are said to be at crisis point.
Former Australian of the Year and mental health campaigner Patrick McGorry said the figures on mental health were "extremely worrying".
Professor McGorry said more investment was needed to reduce the pressures on young people.
E-Safety commissioner Julie Inman Grant said Australia was actually ahead of other countries when it came to prevention strategies against bullying.
"Other international studies, including the Microsoft Digital Civility Index, ranked Australia second for digital civility, out of 13 other countries - taking into account the perception of teens and adults on the state of digital civility," Ms Inman Grant said.
Education Minister Simon Birmingham said he had asked the state and territories to come up with ideas on how best to target bullying.
"Unfortunately there's no silver bullet and it needs a concerted focus not just from leaders of school systems, but from families as well," Senator Birmingham said.
"Following the discussion of bullying at COAG I have asked all state education ministers to bring their examples of effective anti-bullying programs and the evidence that supports them to our next education council meeting to help them to apply to best approaches from across the country."
PARENTS rejoice - we're starting to win the battle with our kids on fruit intake.
But when it comes to vegetables things still look pretty dismal.
The latest Australian Research Alliance for Children and Youth (ARACY) five-year report card into the state of our kids has found the number of children aged 2-18 who meet the daily recommended fruit consumption has risen with close to 70 per cent meeting standards.
In 2007, just 53.3 per cent of kids aged 2-18 were meeting minimum requirements for fruit intake - two serves a day - compared to 68.1 per cent in 2014-15.
But on vegetables the picture is depressing with just 5.4 per cent of 2-18-year-olds meeting the minimum five serves of vegetables a day in 2014-15.
This was down from 5.7 per cent in 2007.
Combined with an increase in obesity rates among 5-24-year-olds - from 29.6 per cent in 2007 to 31.6 per cent in 2014-15 - and a decrease in the number of children free from tooth decay - from 61 per cent in 2007 to 58.3 per cent in 2014 - our children's diet and nutrition isn't looking all that crash hot.
Miriam Raleigh, paediatric dietitian with Child Nutrition said it was positive that fruit intake was up.
"It's great because in terms of vitamins and minerals fruit and vegetables hold a similar amount," she said.
But Ms Raleigh said calorie intake of fruit was often higher which could be a contributing factor to growing waistlines.
She said she was seeing "a good handful of families" each week concerned about their children's vegetable intake.
"Because of life and work and the busy pace of our lives a lot of families don't actually eat together anymore," Ms Raleigh said.
"And as a result when children resist eating vegetables parents often don't keep encouraging them because they're tired and they don't want to waste food.
"Children also don't see their parents eating vegetables which means they are not being modelled the behaviour."
Aloysa Hourigan, spokesman for Nutrition Australia, said the figures on childhood intake mirrored what was also happening in adults.
"It's really no wonder that children aren't doing better," Ms Hourigan said.
"Diet has the biggest impact on burden of disease so if we swapped some of the less healthy foods adults and kids are consuming instead for more veggies and a little more fruit everyone's health would be better."
- Get them involved in the cooking and even growing process. If kids feel a part of something they are more likely to want to try the food.
- Eat meals together. If your children see you modelling the behaviour of eating vegetables they are likely to follow.
- Keep offering it to them. Even if they don't eat it the first few times, keep putting it on their plate - eventually they will get the idea.
- Try different ways of serving vegetables. Kids often don't always like eating plain steamed vegetables. Remember adding flavour is important.
- Don't make eating vegetables a punishment. Encourage your kids to eat vegetables nd explain the benefits (such as carrots are good for your eyes etc).
- If you are stressed about their intake try and hide vegetables in food - sauces, muffins, smoothies - but remember it is important for your kids to eat the whole version too as when it is grated or pulverised it is digested differently, changing the gut microbium.


J Am Med Inform Assoc - Making electronic prescribing alerts more effective: scenario-based experimental study in junior doctors.
JECTIVE: Expert authorities recommend clinical decision support systems to reduce prescribing error rates, yet large numbers of insignificant on-screen alerts presented in modal dialog boxes persistently interrupt clinicians, limiting the effectiveness of these systems. This study compared the impact of modal and non-modal electronic (e-) prescribing alerts on prescribing error rates, to help inform the design of clinical decision support systems.DESIGN: A randomized study of 24 junior doctors each performing 30 simulated prescribing tasks in random order with a prototype e-prescribing system. Using a within-participant design, doctors were randomized to be shown one of three types of e-prescribing alert (modal, non-modal, no alert) during each prescribing task.MEASUREMENTS: The main outcome measure was prescribing error rate. Structured interviews were performed to elicit participants' preferences for the prescribing alerts and their views on clinical decision support systems.RESULTS: Participants exposed to modal alerts were 11.6 times less likely to make a prescribing error than those not shown an alert (OR 11.56, 95% CI 6.00 to 22.26). Those shown a non-modal alert were 3.2 times less likely to make a prescribing error (OR 3.18, 95% CI 1.91 to 5.30) than those not shown an alert. The error rate with non-modal alerts was 3.6 times higher than with modal alerts (95% CI 1.88 to 7.04).CONCLUSIONS: Both kinds of e-prescribing alerts significantly reduced prescribing error rates, but modal alerts were over three times more effective than non-modal alerts. This study provides new evidence about the relative effects of modal and non-modal alerts on prescribing outcomes.


text:
Watch Slipknot's 'Psychosocial' Played on Mini Drum Kit Inside Fridge
Joe DiVita Published: September 27, 2019
Chelsea Lauren, Getty Images
Here's a new one for you: miniature drum kits. They look like collectibles but at least on YouTube user has the skill set to cover rock and metal songs on these things and did just that by tackling Slipknot's "Psychosocial." Oh, and it was done inside a refrigerator.
At least as far as the drumming is concerned, the All Hope Is Gone track is one of the 'Knot's most straight forward tracks, but that doesn't necessarily mean it's easy to replicate it on a small kit sitting in front of some bottles of booze.
The drummer uses two thin, long sticks to tap away at the pounding Slipknot anthem and it takes a lot of delicate finesse to navigate Joey Jordison's complex drum fills and rapid snare rolls. Not surprisingly, the only thing absent here is the kick drum as there's natural limitations to this bite-sized setup.
This video is the YouTuber's first foray into playing inside a fridge. There's just five total uploads on the channel at the time this post was written with the other four covers all being played atop a toilet. We're just going to convince ourselves that decision was made purely on the acoustics of the bathroom.
Anyway, the mini drum toilet covers consist of System of a Down's "Toxicity," Foo Fighters' "The Pretender," Twenty One Pilots' "Stressed Out" and Green Day's "Holiday." Watch more here.
If you want to see Jay Weinberg play Slipknot songs on an actual drum kit on a stage and not inside a fridge or on top of a toilet, see if they're playing near you and grab your ticket here.
Slipknot, "Psychosocial" Played on Mini Drums
Top 66 Hard Rock + Metal Drummers of All Time
Source: Watch Slipknot's 'Psychosocial' Played on Mini Drum Kit Inside Fridge
Filed Under: Slipknot

redpajama_set_name: RedPajamaCommonCrawl


Charlotte - A portion of Meacham Road in Statesville will be closed beginning Friday, March 25, through Wednesday, March 30, while crews repair the railroad tracks and replace a pipe beneath the road.
Meacham Road will close at noon between the RotaDyne and Encore Products locations. The road is expected to reopen by Wednesday at 7 p.m.
Additional information and updates on the closure can be found online here.


More than 50 paintings and sketches by the late Vietnamese song-writer Trinh Cong Son will come to HCMC Fine Arts Museum on Saturday, April 9.
Tourism companies joining the four-day HCMC Tourism Day scheduled to kick off on Thursday, April 7, 2011 at the September 23 Park in the city downtown are offering various promotions with an aim to attract customers for the summer travel season.
Twenty three bronze drums have been brought to the Hung Temple National Historical Relic for the official offering ceremony scheduled to be held on April 2 in the northern province of Phu Tho.
Airlines will add more flights between the country's two biggest cities and the central coast province of Phu Yen from March 31 till April 2 in anticipation of higher air travel demand during the National Tourism Year opening ceremony set on April 1.
The special aroma of Vietnamese coffee and the coffee drinking culture of Vietnamese people will be introduced in a 12-episode film produced by Hong Kong Television Broadcasts Limited (TVB).
The number of Korean tourists to Vietnam has increased considerably over the past 10 years, from 53,000 in 2000 to 0.5 million in 2010, up 230%, according to Hoang Thi Diep, Deputy Director General of the Vietnam National Administration of Tourism (VNAT).
Ten female artists from Hanoi and Ho Chi Minh City are showcasing their latest paintings at an annual exhibition at the Women Artists Club.
Bung Binh Thien (Peaceful Lake of Heaven), is a fresh-water lake in An Giang Province that is popular for weekend getaways.


Makena Resort, South Golf Course Hole 4: This downhill par four had stunning views of the Pacific and Molokini, but the player could not get distracted as the lake came into play on both the tee shot and the approach.
Makena Resort, South Golf Course Hole 7: This par five was a masterpiece of hillside golf. From the tee, there was a series of cross-bunkers that could be cleared, but at a farther distance, the farther right the shot goes. Of course, the hole was a dogleg right. From the landing area the hole plummeted down towards Molokini and provided a breathtaking view and grandeur similar to that found on the Plantation Course in Kapalua. It was also 600 yards from start to finish, so it had to be played solidly.
Makena Resort, South Golf Course Hole 10: There aren't many golf holes on this earth that were as visually pleasing from the tee as the par 5 tenth hole at Makena South. With a lake right on the drive and left on the second and third shots, the vibrant green fairway seemed to wind its way between the blue hazards as it headed towards the Pacific. However, the true greatness of the hole lied in the fact that it was downhill and reachable in two, which gave the golfer the hope (although possibly a false hope) of making birdie or better.
Makena Resort, South Golf Course Hole 13: This dinky par 3 was not as easy as the scorecard read as the lake fronting the green snuggled right up to the tricky putting surface.
Makena Resort, South Golf Course Hole 15: This downhill one-shot gem providee the golfer with a very close look at the Pacific. Any shot that went long gave that player a much closer than wanted look, and a definite penalty. With the wind in the players face, the distance was tough to judge.
Makena Resort, South Golf Course Hole 16: While the player could theoretically go too far left into the Pacific on this hole, it would have taken a horrible golf shot. This par four was not terribly difficult and it was actually the right side of the hole that presented the golfer with most of the trouble. The views from tee to green were fantastic.
More Maui Golf Course Reviews.


text:
Psychosocial Aspects of Terminal Care, edited by B. Schoenberg, A. C. Carr, D. Peretz, and A. H. Kutscher. New York: Columbia University Press, 1972
Richard Galdston
Pediatrics July 1974, 54 (1) 128-129;
Thanatology, the study of death and dying, is a medical specialty of recent establishment. Over the past two or three decades, there has been a marked increased interest in this topic and in the number of articles and books devoted to its discussion. It has been said that this development is due to a lifting of earlier taboos against public discussion and that the medical profession had been remiss in its failure to provide a more open, forthright airing of its experience with death.
You are going to email the following Psychosocial Aspects of Terminal Care, edited by B. Schoenberg, A. C. Carr, D. Peretz, and A. H. Kutscher. New York: Columbia University Press, 1972
Pediatrics Jul 1974, 54 (1) 128-129;
Bold Experiment: The Story of Educational Television in American Samoa. By W. Schramm, L. M. Nelson and M. T. Betham. Stanford University Press, 1981, $17.50, 214 pp
Bad Blood. By J. H. Jones
Show more Book Reviews


text:
Q: How to catch letters and display error and except only integers? Fairly new to coding and I want to only accept integers and display a JOptionPane warning message that integers are only allowed. I have tried to use a NumberFormatException but I am not familiar with this method. Thanks!
    import javax.swing.JOptionPane;
import java.util.Random;
public class GuessingGame
{
    public static void main(String[] args)
    {
        int start = JOptionPane.showConfirmDialog(null, "You must guess a number between 100 and 500 in a set amount of guesses.", "Press 'Yes' to start the guessing game.", JOptionPane.YES_NO_OPTION);
        if(start == JOptionPane.YES_OPTION)
        {
            Random rng = new Random();
            int theNumber = rng.nextInt((500-100)+1)+100;
            String guess;
            int maxAttempt = 1;
            int inputNumber;
            System.out.println(theNumber);
            while(maxAttempt<=4)
            {
                guess = JOptionPane.showInputDialog(null, "Please input a number between 100-500 you have four chances.");
                inputNumber = Integer.parseInt(guess);
                try
            {
            }catch(NumberFormatException e){
                JOptionPane.showMessageDialog(null, "You must only enter an integer", "Guessing Game", JOptionPane.WARNING_MESSAGE);
            }
                if(inputNumber==theNumber)
                {
                    JOptionPane.showMessageDialog(null, "Winner! Guess is correct.", "Guessing Game", JOptionPane.INFORMATION_MESSAGE);
                    break;
                }
                else if(inputNumber>theNumber)
                    JOptionPane.showMessageDialog(null, "Guess was greater than the real number.", "Guessing Game", JOptionPane.WARNING_MESSAGE);
                else
                    JOptionPane.showMessageDialog(null, "Guess was less than the real number.", "Guessing Game", JOptionPane.WARNING_MESSAGE);
                maxAttempt++;
            }

            if(maxAttempt>4)
                JOptionPane.showMessageDialog(null, "Game Over. You have exceeded your guessing limit.", "Guessing Game", JOptionPane.ERROR_MESSAGE);
        }
        else
            JOptionPane.showMessageDialog(null, "Quiting Game, press 'Ok' to exit.", "Guessing Game", JOptionPane.INFORMATION_MESSAGE);

    }
}

A: What you need to do is call Integer#parseInt inside of the try-catch. Then When an exception occurs you need to continue to the next iteration of the while-loop.
Replace
                inputNumber = Integer.parseInt(guess);
                try  {
                }catch(NumberFormatException e){
                    JOptionPane.showMessageDialog(null, "You must only enter an integer", "Guessing Game", JOptionPane.WARNING_MESSAGE);
                }

With
                try {
                    inputNumber = Integer.parseInt(guess);
                } catch (NumberFormatException e) {
                    JOptionPane.showMessageDialog(null, "You must only enter an integer", "Guessing Game", JOptionPane.WARNING_MESSAGE);
                    continue;
                }

redpajama_set_name: RedPajamaStackExchange


Hello, Welcome to Excel chat.
I had a session going but was unable to download the updated spreadsheet. Where you the one working with me on that?
are you able to download it now?
Just checking, did you get the file now?
are macros enabled on your PC?
there are no macro names to select.
awesome, where is the logic for that at in the xls?
did you get the email from our supervisor containing the macro file?
the one without the macro?


text:
« You can't get no ways…
Pushing the boulder up the hill »
Consumer advocacy in Florida
From Emily Rizzo on Facebook, a news story from her home state of Florida. As it was reported on the My Suncoast site (ABC 7 WWSB in Sarasota) on the 21st under the headline:
Florida has its first LGBTQ consumer advocate
Pulling out the nominal of interest here (boldfaced above) and simplifying a bit, I'll look at
gay consumer advocate
which I interpreted at first as 'consumer advocate who is gay', parallel to gay state senator or gay city manager, with consituency
Adj + [ N + N ]
giving the outer-Adj readings 'state senator who is gay' or 'city manager who is gay'. We are, after all, accustomed to hearing reports of the first (openly) gay holders of various offices and statuses.
But no, the intended constituency was
[ Adj + N ] + N
with the inner-Adj reading 'advocate for gay consumers', parallel to gay office location 'location of/for the gay office' and gay linguistics book 'book about gay linguistics'. Florida's new advocate, Shenika "Nik" Harris, is in fact the advocate for LGBTQ consumers.
So gay consumer advocate turns out to be ambiguous, not just in principle but also in practice. (Compare gay event coordinator out of context, where it's easily seen to be ambiguous.)
More on the ambiguity. Yes, I'll get to Nik Harris, who's a great story all on her own. But first a little history of Adj + N + N on this blog (and Language Log).
In my 5/17/15 posting "Adj + N + N", I looked at this Zippy strip:
with two parsings for the Adj + N + N permanent laundry markers:
(1) Adj + [ N + N ] 'laundry markers that are permanent' [the outer-Adj reading] (Griffy's intent)
(2) [ Adj + N ] + N 'markers for permanent laundry' [the inner-Adj reading] (Zippy's understanding)
We've been here before — notably, in a Language Log posting from 2008 on Big Penis Book, which turned out to have been a volume that was both a big book about penises and a book about big penises, though the latter reading was the one the publishers had in mind (the primary audience for the book being people interested in big penises).
(#2) Dian Hansen's big penis book
As I wrote then,
The ambiguity of big penis book is a familiar one in English linguistics; little girls' school is a much more decorous textbook example.
… My files contain a few other Adj + N + N intended with constituency (2) that are risible if understood with constituency (1):
wearable computing engineer, rechargeable battery tycoon, off-leash dog walker
Welcome to the world of wearable engineers, rechargeable tycoons, and off-leash walkers of dogs.
Nik Harris. From the My Suncoast story:
Tallahassee, Fla. (AP) — Florida Agriculture and Consumer Services Commissioner Nikki [short for Nicole] Fried has appointed the state's first LGBTQ consumer advocate.
Fried announced Thursday that she appointed Nik Harris to the newly created position. Harris is a former lawyer with the Florida Department of Transportation.
Fried said in a news release that Harris will raise awareness about opportunities for LGBTQ residents in agriculture industry and address discrimination and fraud that targets the community.
Fried said she wants to make sure LGBTQ Floridians "have a voice in defending their safety, economic security, and well-being."
More detail on the department's website:
A licensed Florida attorney since 2004, Harris has worked at the Florida Department of Transportation for over a decade and most recently served as Senior Attorney, where she provided legal counsel including negotiation, drafting, and review of contracts, intergovernmental agreements, permits, and more. Harris has been a longtime advocate for the LGBTQ community and equality and diversity, serving as a member of the Diversity & Inclusion Committee of the Florida Bar Association, and has been involved with the Human Rights Campaign as a member of the Board of Governors, … [other estimable community service]. Harris has also been a member of the Dolphin Democrats' Board of Directors and a LGBTA Democratic Caucus member.
… Harris is a graduate of the Florida State University College of Law and the Florida Agricultural & Mechanical University [a public, historically black university in Tallahassee].
The picture you're forming in your mind is of a businesslike young black woman. And that's not exactly wrong. Here's the main photo from her Twitter account, an informal shot:
(#3) Her capsule self-description there: Attorney. Activist. Speaker. Queer Melanin Magic.
Ah, queer melanin magic. Smiles.
Also among her photos, several of her in business apparel, as here:
(#4) Dark men's business suit, white shirt, dark tie: an entirely serious but stylish and unthreatening self-presentation
She doesn't have much power at the moment — there aren't many Democrats in Florida's state government (not to mention queers or people of color) — but I'd watch her.
This entry was posted on March 23, 2019 at 5:18 pm and is filed under Ambiguity, Compounds, Gender and sexuality, Homosexuality.	You can follow any responses to this entry through the RSS 2.0 feed. You can leave a response, or trackback from your own site.
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An appropriate adjuvant is composited with microgram or milligram amounts of immunogen and injected at multiple site of the mouse at various times in a repetitious manners. At times the is bled and test for antibodies of aimed specificity is made. Highest concentration of antibodies are established after the mouse is immense with 2-3 individual miniature doses of antigen. When concentration of antibodies are maximum the animal is sacrificed and the spleen is taken. Then it is separated into individual spleenocyte by applying enzyme or instrumental process. Density gradient centrifugation is mostly used to separate the lymphocyte of the spleen from the rest of cells organelles.


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For Pride and Prejudice
The internet's number one resource for all things Pride and Prejudice
Mr. Bennet Passed Away
For each of us, there is only one.
One special actor portraying one special character.
For me, and thus for this website, that one is Mr. Benjamin Whitrow. He was our Mr. Bennet. He was our quintessential father figure in a story that is as timeless as his performance. I can vividly recall my first viewing of Pride and Prejudice. It was in my senior year of English Literature in 2002. Our teacher put on the video for the 1995 adaptation from the BBC. At that time, I had neither heard nor seen anything at all to do with Jane Austen nor Pride and Prejudice. After the first installment, I was in love. I would never dream to say that I fell in love with Jane Austen's works based solely on the performance of one actor, but if there is one actor that has stood out over the course of time from my initial viewing it would have to be Benjamin Whitrow.
His animation of the text, his vivacity of character, his overall essential being... he is Mr. Bennet to me. I cannot imagine a world of Pride and Prejudice without him, which provides a simple solace to trying to live in a real world without him.
Thank you, Ben for your contribution to Pride and Prejudice. May your timeless performance outlive all those that could possibly appreciate it.
Welcome to For Pride and Prejudice
For Pride and Prejudice is a resourceful tool for avid readers to submerge themselves into the realm of Jane Austen's Pride and Prejudi...
Pride and Prejudice 2005 Adaptation Movie Script
Pride and Prejudice Screenplay by Deborah Moggach Shooting script 28th June 2004 1 EXT. LONGBOURN HOUSE - DAY. FADE UP ON: A YOUNG WO...
What does the opening line of Pride and Prejudice mean?
It is a truth universally acknowledged, that a single man in possession of a good fortune, must be in want of a wife. In plain, mod...
Physical Appearances of Major Characters in Pride and Prejudice
Jane Bennet: Apart from being renowned as the prettiest of the Bennet sisters, being described as an angel (" as to Miss Bennet, he ...
Austen Works
Georgian Society in Jane Austen Novels
Austen Fans
Regency Resources


Beautiful Elegant White Wedding Veil! Edge Style: Ribbon Edge. Communication is often the key to resolving issues. Made of Viscose / Polyester. We will do our very best to achieve that goal! The item is sold on an "as is" basis.
Women's Vintage Petticoat Skirt Tutu 1950s Underskirt for Dress Length 26"
A beautiful wedding needs an unforgettable dress. However, the wedding guest dresses are also important for your bridesmaids and other important wedding guests. Understanding these dresses can help you create a look that no guest will ever forget.
What kind of wedding dress types are available?
Wedding dresses: There are many casual looks, such as beaded, strapless, floral, sequin, and sleeveless dresses to consider. However, there are also formal choices, including those that fit more precisely on the bride with adjustable sleeve designs.
Bridesmaid choices: These types of wedding looks typically are best when they match that of the woman getting married. You can choose a sleeve gown or even lace designs to suit a specific wedding theme.
Wedding guest dresses: Wedding guest dresses are designed to have a variety of looks, including casual sleeveless and sleeve designs. Some even integrate black or floral colors to suit your preferred theme.
Mother of the bride: The mother of the bride deserves to look just as beautiful as her daughter on her wedding day. A mother of the bride dress uses a comfortable fit and a variety of lace-design accessories to create a perfect casual or formal look.
David's Bridal: This brand focuses on a variety of different dress and gown looks, creating designs that include a variety of colors, such as white and black, and creating appearances that should look great on most guests.
Adrianna Papell: This designer is known for a variety of gown looks and wedding-guest designs that help create a variety of different thematic choices. They are for those who want an updated look beyond the more traditional style.
Jovani: Those who want a more traditional look often choose this designer. This dress designer focuses on lace and other more old-fashioned looks to create a dress design that matches many types of themes and personal preferences.
Sue Wong: Here is another more modern designer who focuses on altering traditional looks and executing more subtle and up-to-date lace variations.
Are there more specific accessories to consider?
Evening party formal gloves: These gloves are designed for the married couple and each wedding guest and have many different color variations.
Crowns and tiaras: Those who want a princess theme can turn to these accessories for a more royal look.
Lace veil: Use these lace veils to create a multitude of different styles for a variety of different guest types.
Footwear: Though it may be hard to see some types of footwear while wearing a dress, it is still important to create a matching look by choosing the right shoes for your needs.


1887, '95, '96, '98, '99, 1900, '06, '08, '16, '25, '30, '37, '45, '49, '50, '51, '58, '61, '62, '64,'65, '71, '89, '91, 2001,2010, 2016.
1895, '96, '98, '99, 1900, '06, '08, '09, '13, '16, '17, '22, '24, '25, '30, '37, '41, '45, '49, '50, '51, '58, '60, '61, '62, '64, '65, '67, '68, '71, '87, '88, '89, '91, '93, 2001,2008,2009,2011,2015.
1908 – Tipperary w/o Kerry scr.
Replay Tipperary 4-22 Cork 1-22 a.e.t.
1928, '49, '50, '52, '54, '55, '57, '59, '60, '61, '64, '65, '68, '79, '88, '94, '99, 2001,2008.
1927-28 - Tipp won round robin competition with 14 points from 8 matches.
1949, '60, '61, '63, '64, '65, '68, '70, '72, '90.
· As holders Tipp retained the trophy.
1964, '67, '79, '80, '81, '85, '89, '95, 2010.
1964, '65, '67, '72, '78, '79, '80, '81, '83, '84, '85, '89, '90, '95, '99,2003,2004,2006,2008,2010.
2003 Tipperary 2-14 Cork 0-17(AET).
2003 Tipperary 2-12 Cork 0-16.
1961, '63, '66, '71, '72, 2000,2012, 2013.
1913, '15, '24, '26, '30, '33, '53, '89, '91.
1910, '11, '13, '15, '24, '26, '28, '30, '33, '51, '53, '85, '88, 89, 90, 91.


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Gagra, Nicholas II, Oldenburg Princes
Nicholas II visits Gagra, 1912
Posted on February 9, 2021 by Paul Gilbert
PHOTO: Emperor Nicholas II and Prince Alexander Petrovich Oldenburg, Gagra 1912
During his visit to Crimea in the spring of 1912, Emperor Nicholas II visited Abkhazia, at the insistence of Prince Alexander Petrovich Oldenburg (1844-1932).
While visiting the region In 1904, Prince Alexander Oldenburg, saw the potential of the region's sub-tropical climate and decided to build a magnificent high-class resort and the Gagripsh Restaurant there. Having raised a large sum of money – 100 thousand gold rubles – from the government, he constructed a number of other buildings in an eclectic variety of architectural styles from around Europe. A park was laid out with tropical trees and even parrots and monkeys imported to give it an exotic feel.
Prince Oldenbrug also built a palace for himself and his wife Princess Eugenia Maximilianovna of Leuchtenberg (1845-1925) who was paralyzed and therefore moved in a large three-wheeled chair with a white donkey harnessed to it, led by a Cossack. In August 1901, their only son Duke Peter Alexandrovich Oldenburg (1868-1924) married Nicholas II's younger sister Grand Duchess Olga Alexandrovna (1882-1960).
PHOTO: early 20th-century postcard depicting Oldenburg's resort and restaurant
On Tuesday, 15th May 1912, Nicholas II departed Yalta on the Imperial Yacht Standart, and sailed towards the Caucasian coast. The sea was calm and the weather warm. The Tsar's yacht was escorted by the Russian cruiser Almaz and four destroyers of the Russian Imperial Navy.
During his voyage along the coast, the Tsar wrote in his diary: "before and after breakfast I admired the panorama of the mountains passing by". On 16th May, the Standart arrived in Gagra Bay at 3 o'clock in the afternoon.
PHOTO: Emperor Nicholas II and Prince Alexander Petrovich Oldenburg,
on the deck of the Imperial Yacht Standart. 1912
Prince Oldenburg, dressed in full military uniform and orders, arrived at the imperial yacht on a launch and climbed up the steps onto the deck, where he was greeted by the commander-in-chief in the way befitting an officer. Nicholas II, his four daughters, and Oldenburg travelled by launch to the pier, where the Imperial Family and their entourage were met by the prince's wife, Princess Eugenia Maximilianovna.
The streets were lined with hundreds and hundreds of people, all of whom had long awaited the appearance of the sovereign emperor. The distinguished guests, led by the Prince Oldenburg, went to the ancient church, where a solemn liturgy was held in honour of the arrival of the Imperial Family in Gagra.
PHOTO: Emperor Nicholas II with his four daughters and retinue in Gagra. 1912
In honour of the Tsar's visit to the region, the Church of St. Hypatius – situated in Abaata Fortress – was restored, at the expense of the Princess Eugenia Maximilianovna. The restoration strictly preserved the buildings' original appearance, including the decoration of the roof of the church with stone crosses. The famous Russian artist Mikhail Nesterov (1862-1942), was invited to Abkhazia from St. Petersburg, to decorate the walls of the church interior with icons.
Representatives of the Abkhaz aristocracy, together with Alexander Grigorievich Shervashidze- Chachba, the mayor of the city of Sukhum, who took an active part in the preparation of these celebrations, met the emperor with the traditional bread and salt.
PHOTO: Emperor Nicholas II is greeted with the traditional bread and salt. 1912
The guests proceeded to the Gagripsh Restaurant [the restaurant has survived to the present day, its interiors virtually unchanged from the Tsarist period-PG], where they talked over tea with the prince and representatives of the Abkhaz nobility. They then drove in cars and went out into the park, where a grandiose dinner was held. A large regimental orchestra dressed in white Circassians and the same white hats, was playing in the park.
PHOTO: Emperor Nicholas II arriving at the Gagripsh Restaurant in Gagra. 1912
Roasted bulls and lambs, were brought to long tables, covered with white tablecloths, set amongst a vast clearing. Prince Alexander Petrovich Oldenburg proclaimed a toast in honour of Tsar Nicholas II, welcoming him, on behalf of himself and local residents. In response, Nicholas II also raised a toast to the owner of the estate and to the health of the residents of Gagra. Here, at an impromptu concert, the Abkhaz dance was performed for the emperor.
PHOTO: The Tsar raises a toast to Prince Oldenburg and the people of Gagara. 1912
Towards evening, the emperor, his daughters and their retinue bid farewell to the prince and the townspeople, and returned to Crimea on the Imperial Yacht. "It was raining in Gagra," Nicholas II wrote that evening in his diary.
© Paul Gilbert. 9 February 2021
1896 Coronation uniform of Emperor Nicholas II
The History and Restoration of the New Study of Nicholas II in the Alexander Palace


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ABC Kids Expo, Conferences, Juvenile Products, Stroller, Technology
The annual ABC (All Baby & Child) Kids Expo never ceases to amaze with its ever-evolving product features designed to make life easier for moms and safer for their children. This year — the 13th annual event — was no different. During our trip down the show aisles in Las Vegas this week, some trends were of particular interest.
Strollers that stretch, shrink and serve multiple purposes
Austlen Baby Co.'s Entourage stroller can not only hold up to 150 lbs., but can adjust to more than 30 different configurations, enabling it to fit large items. These include the company's expandable market tote, which sits at arm's reach between the handlebar and front seat for easy access to baby's essentials, drinks, cell phones or groceries. Larger items such as coolers and even luggage can also be accommodated. We thought Entourage was pretty amazing. It also won the Best in Show honor among the 2015 Most Innovative Products of the Year Awards announced by the Juvenile Products Manufacturers Association (JPMA) at ABC.
On the other extreme, GB presented "a stroller that fits in your handbag." The new Pockit stroller weighs only 9 lbs. and folds up so small, it even holds a place in the Guinness Book of World Records. The stroller features a sunshade and fully reclining seat, and folds quickly and easily.
Meanwhile, Doona's infant car seat comes with a "built-in mobility system" that turns it into a stroller at the touch of a button. Very efficient and very cool.
Fabrics and colors that capture attention
Babyhome's Wave bounce chair has a sleek base made of laminated wood. Wave has three different positions, including stationary, and can fold flat. The company also showed its Dream Premium bassinet in buttery brown leather.
Pastels were passé for many brands, as numerous companies made a sophisticated grey the color of the day. 7A.M. Enfant has a new line of heather grey cold weather accessories for strollers, including stroller covers, hand muffs, travel bags, and a car seat cocoon.
Pretty Practical
Pushing a stroller with one hand while holding an umbrella with the other has always been a feat. Yamb's Mumbrella solves the problem by attaching to the stroller handle and stowing neatly alongside the stroller with the push of a button.
Monkey Mat offers a large cloth that provides a clean play space when traveling (just think of your little one crawling across airport floors), then easily folds back into a compact pouch.
Turning to Tech
Evenflo's Advanced Sensor Safe Embrace DLX Infant Car Seat uses technology to help prevent babies from being accidentally left in the car and suffering from heatstroke. Upon arriving at a destination, a series of tones notifies parents that baby is still in the vehicle.
Skip Hop's new Explore More Amazing Arch Baby Gym lets moms and dads pop a smartphone behind the play mirror on the arch for video chats and snapshots of baby.
The Hatch Baby Smart Changing Pad allows parents to track baby's growth, feedings, temperature, sleep and diaper changes from their smartphones.


A lovely throw pillow cover handmade using vintage Gujarati tribal textiles and patterned with mirrors by skillful tribal women from the great Rajasthan dessert.
Envelope style back and made of a thick pure black cotton. All natural materials.
*Cover only, filling not included.


Organismal biology often advances through two iterative stages: 1) analyzing models that integrate fundamental physical and chemical laws with biology to predict which phenotypes natural selection favors under what ecological conditions; and 2) testing model predictions by comparing observed patterns of trait evolution with that predicted by competing models. I use stomata, the microscopic valves on the leaf surface that regulate carbon uptake and water loss, as a model system for addressing basic questions about organismal physiology and evolution. In most plants, stomata are located only on the lower leaf surface, but many plants have stomata on both surfaces. The distribution of these phenotypes is highly nonrandom across flowering plants, indicating evolutionary constraint, but not necessarily adaptation. To predict the distribution of phenotypes under an adaptive hypothesis, I analyze an evolutionary physiological model based on leaf biophysics to ask how stomatal traits should evolve along light gradients. Compared to an alternative model of developmental constraint, the evolutionary physiological model explains several independent patterns of stomatal evolution in flowering plants. The combination of integrative models and comparative biology indicate that stomatal evolution is an important part of adaptation to different light environments. More broadly, investigating stomatal evolution provides new insight into major questions about the evolution of organismal form that are especially to challenging to study.


Cargotec is a world leader in hydraulic loading equipment.
VS-mont s.r.o. is a flexible specialist for complete customer solutions.
We produce and sell tipper and platform truck superstructures on TATRA chassis. We produce and sell trailers, semitrailers and hydraulic carriers for these unique chassis. We also sell automatic transit-mixer drums on TATRA chassis.
THT s.r.o. produces mobile fire-fighting technologies, vehicles for the liquidation of technical, chemical and ecological accidents, container systems, fittings and fire-fighting accessories.
The main business activities of CSM Tisovec a.s. include the development, manufacture and sale of construction, on-road and off-road machinery; accessories and spare parts for these machines; steel structures; and consultancy and services, including full-scope repairs of machines.
KOBIT produces and assembles superstructures for the building, repair and maintenance of roads.
Společnost ALFAVARIA Group s.r.o. vyrábí, vybavuje, dodává mobilní servisní dílny pro všechny standardní typy podvozků TATRA jako např. T810, T815 a jejich modifikace.


We have just finished our first 'Wellness January' in the office.
This exciting new initiative included an ergonomic day facilitated by Wendy Davies – Team GB physiotherapist and Pilates coach. This included a presentation on staying healthy at work and home, ergonomic desk setup, office Pilates and individual triage physiotherapy.
We also welcomed Sam Munslow from Blue Monkey Coaching. As well as facilitating a wellbeing survey, Sam visited the office for a day and held a listening post for Metis team members to access.
Both sessions were well received by the team, and alongside the lunchtime running, walking and HIIT clubs we are now a healthier place to work.
We'll be continuing these initiatives throughout the year.


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Professor Ed Larson, "The West Coast is Now, Officially, the Blue Pacific" -- The Hill
Professor Edward J. Larson's opinion article, "The West Coast is Now, Officially, the Blue Pacific," is published in The Hill. The article considers that for the first time since the rise of the modern Republican Party prior to the Civil War, Democrats will hold every U.S. House district on the West Coast.
Excerpt from "The West Coast is Now, Officially, the Blue Pacific"
Given the reigning conventional wisdom that the West Coast leans left, many may shrug off this development as unsurprising or even wonder why it had not happened before. As a historical phenomenon, however, it constitutes the culmination of a notable geographical shift in partisan identity.
The complete article may be found in The Hill
Professor Chris Goodman Presents "The Constitution, Courts, and Racial Justice" -- Benjamin Franklin High School New Orleans
American Bar Association Rejects Proposal to Make the LSAT Optional in Law School Admissions


CAIRO (AFP) - Egyptian-born film legend Omar Sharif, star of Oscar-winning classics such as Lawrence of Arabia and Doctor Zhivago, is suffering from Alzheimer's disease, his agent said Tuesday.
"He's under the care of his family," he said.
The agent confirmed news first reported by the Spanish daily El Mundo, which cited the actor's son Tarek.
"I don't want to comment on this issue," the son said by phone from Canada.
Known for his charismatic good looks and bridge-playing prowess, Sharif is resting at his home in Egypt, according to the Los Angeles Times newspaper.
Born in 1932 the son of a lumber merchant in Egypt's second city Alexandria, Sharif was nominated for an Academy Award in 1963 for his role as Sherif Ali in Lawrence of Arabia.
The actor, fluent in English, Arabic, Spanish, Italian, Greek and French, also won Golden Globes for Lawrence of Arabia and Doctor Zhivago.
Sharif, who was raised a Roman Catholic but later converted to Islam, started acting in the 1950s and had his most high-profile roles in the 1960s, when he also starred in Funny Girl opposite Barbra Streisand in 1968.
He kept working over the following decades, often in TV movies, while also earning a reputation as one of the world's best known contract bridge players.
He co-wrote a syndicated bridge newspaper column in the 1970s and 80s, as well as authoring several books and a bridge computer game, Omar Sharif Bridge.
The actor made something of a comeback in 2003 in the title role of the French film Monsieur Ibrahim (2003) in which he played an elderly Muslim shopkeeper.
The performance won him a best actor award at the Venice Film Festival and the best actor Cesar, France's equivalent of an Oscar.
Sharif underwent triple heart bypass surgery in 1992 and suffered a mild heart attack in 1994, according to the IMDb movie database website. He smoked 100 cigarettes a day but quit after the operation.
In January this year, Sharif's actress ex-wife Faten Hamama died aged 83 after a career spanning seven decades and almost 100 films alongside masters of Egypt's film industry. She was buried at her family cemetery in Cairo.


Looks a bit time consuming.
I'll be too busy chasing off scrounging trick or treaters with a big stick.
A *bit* time-consuming, but oh, so tasty. And nobody's evening's too short to roast a pepper.
I love butternut squash but find it so hard to peel and cut..
Do you have any tricks or tips for peeling squash??
A very sharp chef's knife is invaluable! When you buy a squash, look for one with a small bell (the bit where the seeds are) and a long, fat top bit – it's solid squash in there, and you won't have to navigate the seeds. If you chop the top part into a few cylinders it's easy to remove the peel from the outside. The bell can be more fiddly, but if you've chosen a squash with a smaller one, it'll be less of a fuss.
Next month will be cabbage season. Any recipes for cabbage and red pepper soup?
Hi John! Sadly, I can't immediately think of anything appetising you could do with peppers and cabbages – hope your dinner party goes well. This is a pretty handsome soup, and I'm looking forward to seeing your pics – if you look at the main page, there's a wee envelope you can click at the top of the right-hand column, where you can send me mail.
Lovely blog. I would like to send you an email, but for some reason my Macbook won't let me get your address when I click the link. Would you mind telling me what it is?
Hi Victoria! liz@gastronomydomine.com – and I look forward to getting your email!
oh my, in a rush to find a general recipe for this type of soup I randomly found your recipe. I just made this for a dinner last night and it was a hit! and no less, I made it for my last dinner I will be cooking in Manchester! (studied here for a term abroad) Well worth every bit of time it took, well done!
You've warmed my cockles, Mark.


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Q: How to prove this inequality similar to AM-GM inequality Let $0 \le n_1 ,n_2 , ... , n_k < a_i \in \mathbb{R}$ for $i=1,..,m$ and $k \ge 1$ and $m \ge 1$.
Prove that the following inequality holds:
$$
\prod_{i=1}^m\left(a_i - \frac{1}{k}\sum_{j=1}^{k}n_j\right) \le  \frac{1}{k}\sum_{j=1}^{k}\left(\prod_{i=1}^{m}(a_i-n_j)\right)
$$
I proved it for $k=2$ with induction for $m$.
But for arbitrary $k$? Induction in two variables?

A: I'll assume the given inequality to prove is
$$
\prod_{i=1}^m\left(a_i - \frac{1}{k}\sum_{j=1}^{k}n_{\color{red}{j}}\right) \le  \frac{1}{k}\sum_{j=1}^{k}\left(\prod_{i=1}^{m}(a_i-n_j)\right)
$$
Without loss of generality i'll assume $n_1 \le n_2 \le \cdots \le n_k$.
Since $a_i - \frac{1}{k}\sum_{j=1}^{k}n_{j} = \frac{1}{k} \sum_{j=1}^k (a_i-n_j)$, we can write more general form of given inequality as for $b_{ij} >0$ and $b_{ij} \ge b_{i(j+1)}$
$$ \prod_{i=1}^m \left(\frac{1}{k}\sum_{j=1}^k {b_{ij}}\right) \le \frac{1}{k}\sum_{j=1}^{k}\left(\prod_{i=1}^{m}b_{ij}\right)
$$
Given case is obtained if one put $b_{ij} = a_i- n_j$.
Now, for $m=1$, the inequality is true. (LHS and RHS are the same.)
For $m=2$, the inequality is of the form
\begin{align*}
\left(\frac{1}{k}\sum_{j=1}^k p_j \right)\cdot \left(\frac{1}{k}\sum_{j=1}^k q_j \right) \le \frac{1}{k}\sum_{j=1}^k p_j q_j
\end{align*}
which is the Chebyshev inequality.
Assume that $m = M$ case is true. Then, for $m = 2M$,
\begin{align*} \prod_{i=1}^{2M} \left(\frac{1}{k}\sum_{j=1}^k {b_{ij}}\right) & = \prod_{i=1}^{M} \left(\frac{1}{k}\sum_{j=1}^k {b_{ij}}\right) \cdot  \prod_{i=1+M}^{2M} \left(\frac{1}{k}\sum_{j=1}^k {b_{ij}}\right) \\
& \stackrel{*}{\le} \frac{1}{k}\sum_{j=1}^{k}\left(\prod_{i=1}^{M}b_{ij}\right) \cdot \frac{1}{k}\sum_{j=1}^{k}\left(\prod_{i=M+1}^{2M}b_{ij}\right)\\
& \stackrel{**}{\le}\frac{1}{k}\sum_{j=1}^k \left(\prod_{i=1}^{2M}b_{ij}\right)
\end{align*}
($*$ : $m = M$ case. $**$ : $m=2$ case.)
This lead us to the inequality for $m =$ 2 power cases, i.e. $m =2, 4, 8, \cdots$.
Next step is to show $m = M-1$ case under the condition of $m = M$. For this, just let $b_{Mj} = 1$ for all $j = 1, \cdots, k$ for $m = M$ case.
This covers all natural numbers $m$. So we are done.


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Texas Hill Country Named Fastest-Growing Wine Destination
From the Austin Business Journal
The Texas Hill Country was ranked the top "hidden-gem" among U.S. wine regions, according to travel planning site Away.com.
The website, which provides information on more than 35,000 global destinations, picked the Central Texas Wine Trail as among the fastest-growing grape regions. The trail includes more than two dozen wineries as far west as Kerrville and Fredricksberg, down to New Braunfels, surrounding Austin and up to Lampasas.
State tourism and agriculture officials have been working heavily in recent years to promote the Hill Country to wine aficionados. Texas is the fifth-largest wine producing state in the country, according to the Texas Department of Agriculture.
The Hill Country ranked first on the Top 10 list. Bloomington, Ind.;; Cape Cod, Mass.;; Botetourt County, Va.;; Long Island, N.Y.;; Arkansas River Valley, Ark.;; Cleveland;; Yakima Valley, Wash.;; Traverse City, Mich.;; and Brandywine Valley, Pa., rounded out the list.
The top 10 "hidden gem" wine regions were selected by Away.com's staff of editors and travel writers and are based on the research and opinions of the staff.
"Most people tend to associate vineyards with California, forgetting some equally lush, yet budget-friendly wineries right in their own backyard," Away.com Senior Editor Kate Chandler said. "Away.com's list of undiscovered spots in America's wine country highlights its geographic diversity, and their proximity to metropolitan areas makes them an ideal detour."
Away.com is owned by online travel agency Orbitz Worldwide (NYSE: OWW) in Chicago.
Texas Hill Country Named Fastest-Growing Wine Destination – Austin Business Journal, 9/28/10
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Fredericksburg is one of the most popular towns in the Texas Hill Country.
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sumo sushi is a restaurant located in Albuquerque, New Mexico. Based on ratings and reviews from users from all over the web, this restaurant is a Great Restaurant.
sumo sushi features Japanese cuisine.
Interested in eating in sumo sushi? Check out this restaurant's features and options and find driving directions, so you can spend more time eating and less time figuring out how to get there.


Adderall, shmaderall. Certain biohackers prefer taking teeny-tiny amounts of psychedelic drugs to boost focus. But what exactly is a microdose, anyway? Here's our semi-scientific guide. Hint: If you feel the trees breathing, you're doing it wrong.
Microdose (5–10 mcg): Users claim that a microhit of LSD clears mental locks and helps with depression. It's often taken first thing in the morning with distilled water—chlorine can kill key compounds.
Overdose: Visions, cosmic oneness, epiphanies about epiphanies.
Microdose (0.1 g): A taste of psilocybin (or its synthetic version, which is often used in clinical trials) brings on a low-key wave of zenlike happiness. So they say.
Overdose: Psychedelia, vomiting, skin numbness.
Microdose (6 mg, but modes of delivery vary): The main ingredient in ayahuasca tea, DMT might change your perspective—but even small amounts could get you high.
Overdose: Deep vibrations, projectile vomiting, self-transcendence.


The retailer Staples announces plans to close stores on Thursday as it suffered a decline in stocks and sales. Staples reported a $548 million loss and a three percent drop in sales during the fourth quarter, which ended in January.
The disappointing results have led Staples to shutter 70 stores in North America or 4.5 percent of its 1,600 locations during the current year. Earnings came in at 25 cents per share in the fourth quarter that was a penny less than what some analysts have estimated. Last year, Staples closed 48 stores and has eliminated 350 stores over the last five years.
Staples also tried to acquire Office Depot Inc. but the merger was blocked by Federal Regulators due to antitrust grounds arguing that doing so will affect business customers. The fallout deal was followed by CEO Ron Sargent's resignation, which came as a shock to many Staples employees and the people, in general. Shira Goodman then served as interim Staples CEO.
The series of events prompted the office supply store to search for a new growth plan. In October, Staples went on with a new strategy to license its name and get more revenue from business services. The company also offloaded its retail business in the UK last quarter. But amidst the business reconstruction efforts, latest results sent Staples down as much as 6.8 percent to $8.35 in New York. Before Thursday, the stock had been down less than one percent in 2017.