text:
Heart Hampshire
Guard Stops Disabled Passenger Boarding Train
The first quadriplegic sailor to sail solo across the Atlantic was told by a guard he could not board a train because his electric wheelchair would damage the floor.
Humiliated Geoff Holt, 45, said he could not recall the last time he was so upset and angry after the incident on the Island Line's three-minute Ryde Pier to Ryde Esplanade service on the Isle of Wight on Saturday.
To his horror, he said, 'in typical British fashion', no passenger came to his aid as he argued with the guard.
The unnamed guard has now been suspended pending an investigation and a senior manager has apologised, the 'horrified' train operator has confirmed.
British Transport Police also said they were investigating.
Writing on his blog, the award-winning sailor, who champions disability issues and was awarded an MBE in 2010, said: "I can't recall the last time that I was so angry and upset I was physically shaking, emotion choking my voice, a sense of genuine rage.
"So why the rage? Quite simply, a guard on the train, specifically 'Guard 1003' as he reluctantly identified himself when pressed, refused to let me board the 4.45pm train - the same journey I had made nine hours earlier.
"Why? To quote Guard 1003, pointing at my wheelchair, 'Those things aren't allowed on these trains, they will damage the floors'.
"I couldn't quite believe what I heard and asked him to repeat it, which he did.
"Reminding myself this was 2012, not 1912, this was public transport and this was the year the Paralympics were coming to Britain, the red mist was descending.
"Expanding his fictional list of reasons why I could not travel, he then said, if he got me on this train, there was no guarantees I could get off three minutes later (at) the same station I had successfully travelled from earlier that morning.
"Trying to intimidate me, he said I might have to stay on the train to Shanklin, over 12 miles away. When I said I had made the journey hours earlier, he said, and I quote: 'rubbish, you would not have been allowed to board the train'.
"Eventually, after several minutes of his posturing, huffing and puffing, Guard 1003 lifted the tiny ramp stored on the train and, quite literally, threw it on the platform, hitting my foot and leg in the process (when I got home, I found it was grazed and bleeding, I did not know this at the time because I can't feel it).
"And with that simple, easy manoeuvre, which took him only 10 seconds, I was on the train, Guard 1003 snarling at me like some prison guard. All the other passengers looked on in disbelief but, in typical British fashion did nothing."
Mr Holt has been in a wheelchair since a swimming accident 28 years ago in the Caribbean and he completed his 2,700-mile transatlantic sail in 2010 finishing at the site of his 1984 accident.
The father-of-one added: "He had publicly humiliated me, he had publicly degraded me and he had made me feel like a worthless piece of dirt... it was quite simply the most disgusting way to treat another human being, let alone a disabled one."
An Island Line spokesman said: "We are absolutely horrified at the events Mr Holt has described. We welcome electric wheelchairs on our services and it is very important to us that all of our passengers feel welcome on our network.
"We are taking this matter very seriously and have already launched an investigation. A senior manager has contacted Mr Holt directly to apologise.
"We can also confirm that one of our employees has been suspended while our investigation is under way."


text:
\section{Introduction}

Given a primitive sublattice $P$
of signature $(1,\rho-1)$
of the K3 lattice
$
 \KL \coloneqq E_8 \bot E_8 \bot U \bot U \bot U,
$
let
$
 T = T_P \coloneqq P^\bot
$
be the orthogonal lattice and
$\Gamma = \Gamma_P$ be the subgroup of $\rO(\KL)$
consisting of elements $g$
satisfying $g|_P = \id_P$.
By abuse of notation,
we write the image of $\Gamma$
under the injection
$
 g \mapsto g|_{T} \in \rO(T)
$
by the same symbol.
A \emph{$P$-polarized K3 surface}
in the sense of Nikulin \cite{MR544937}
is a pair
$(Y, j)$ of a K3 surface $Y$
and a primitive lattice embedding
$
 j \colon P \hookrightarrow \Pic Y.
$
As explained in \cite[Section 3]{MR1420220},
the global Torelli theorem \cite{MR0284440, MR0447635}
and the surjectivity of the period map \cite{MR592693}
shows that the period map gives an isomorphism
from the coarse moduli scheme of
pseudo-ample $P$-polarized K3 surfaces
to the quotient
$
 M \coloneqq \cD/\Gamma
$
of the bounded Hermitian domain
\begin{align} \label{eq:D}
 \cD \coloneqq \lc \ld \Omega \rd \in \bfP(T \otimes \bC)
  \relmid (\Omega, \Omega) = 0, \ (\Omega, \Omegabar) > 0 \rc
\end{align}
of type IV.

Let
$T$ be a lattice of signature $(2,n)$ for a positive integer $n$
and
\begin{align}
 \cDtilde \coloneqq \lc \Omega \in T \otimes \bC \relmid (\Omega, \Omega) = 0, \ (\Omega, \Omegabar) > 0 \rc
\end{align}
be the total space of a principal $\bCx$-bundle over $\cD$
defined by \pref{eq:D}.
For a discrete subgroup $\Gamma$
of finite covolume in $\rO(T \otimes \bR)$,
a \emph{modular form}
on $\cD$
with respect to $\Gamma$
of weight $k \in \bZ$
and character $\chi \in \Char(\Gamma) \coloneqq \Hom(\Gamma, \bCx)$
is a holomorphic function
$
 f \colon \cDtilde \to \bC
$
satisfying
\begin{enumerate}[(i)]
 \item
$f(\alpha z) = \alpha^{-k} f(z)$
for any $\alpha \in \bCx$, and
 \item
$f(\gamma z) = \chi(\gamma) f(z)$
for any $\gamma \in \Gamma$.
\end{enumerate}
The vector spaces
$A_k(\Gamma, \chi)$
of modular forms
constitute the ring
\begin{align}
 \Atilde(\Gamma)
  \coloneqq \bigoplus_{k=0}^\infty \bigoplus_{\chi \in \Char(\Gamma)}
      A_k(\Gamma, \chi)
\end{align}
of modular forms.
We also write the subring of modular forms without characters as
\begin{align}
 A(\Gamma)
  \coloneqq \bigoplus_{k=0}^\infty
      A_k(\Gamma).
\end{align}
The main result of this paper is the following:

\begin{theorem} \label{th:main}
The graded ring of modular forms with characters
of
$\rO(2,4;\bZ)$
is generated by modular forms of weights
4, 4, 6, 8, 10, 10, 12, and 30
with three relations of weights 8, 20, and 60;
\begin{align}
  \Atilde(\rO(2,4;\bZ)) \cong \bC[t_4,t_6,t_8,t_{10},t_{12},s_4,s_{10},s_{30}]
   / (s_4^2 -\Delta_8(t), s_{10}^2-\Delta_{20}(t),s_{30}^2-\Delta_{60}(t)),
\end{align}
where the polynomials $\Delta_8(t)$, $\Delta_{20}(t)$, and $\Delta_{60}(t)$
are given in \pref{eq:Delta_8}, \pref{eq:Delta_20}, and \pref{eq:Delta_60}
respectively.
\end{theorem}

This paper is organized as follows:
In \pref{sc:UE7E7},
we prove that the coarse moduli scheme of
$U \bot E_7 \bot E_7$-polarized K3 surfaces
is the double cover of the weighted projective space
$\bfP(4,6,8,10,12)$
branched along the divisor defined by $\Delta_{20}(t)$.
We give a proof of \pref{th:main} in \pref{sc:O24}.
In \pref{sc:six_lines},
we discuss the relation with the configuration space of six lines on $\bfP^2$
following \cite{MR1136204}.

\emph{Acknowledgment}:
We thank Kenji Hashimoto for valuable discussions,
and the anonymous referee for suggestions for improvement.
A.~N.~was partially supported by JSPS Kakenhi (18K13383, MEXT LEADER).
K.~U.~was partially supported by JSPS Kakenhi (15KT0105, 16K13743, 16H03930).

\section{The coarse moduli space
of $U \bot E_7 \bot E_7$-polarized K3 surfaces}
 \label{sc:UE7E7}

Consider the even lattice
$
 P_1 \coloneqq U \bot E_7 \bot E_7
$
of signature $(1,15)$, and
fix a primitive embedding of $P_1$ into the K3 lattice $\KL$,
which is unique up to the action of $\rO(\KL)$
by \cite[Theorem 1.14.4]{MR525944}.
The orthogonal lattice $T_1 \coloneqq P_1^\bot$
is isometric to $U \bot U \bot A_1 \bot A_1$.
We write $\Gamma_1 \coloneqq \Gamma_{P_1}$.
Let $\sigma_1 \in \rO(T_1)$ be the reflection
along the $(-4)$-vector
obtained as the sum of the bases $(-2)$-vectors
of two $A_1$ summands in $T_1$.
It fixes $U \bot U \subset T_1$
and interchanges two $A_1$ summands.
It extends to an element of $\rO(\KL)$
whose restriction to $P_1$ interchanges two $E_7$ summands.
One can easily see that
the group
$
 \rO(T_1) / \Gamma_1
$
is generated by the class of $\sigma_1$
(see the proof of \pref{pr:Gamma3} below).

\begin{theorem} \label{th:main2}
The graded ring $A(\Gamma_1)$ of automorphic forms
with respect to $\Gamma_1$
is given by
\begin{align}
 A(\Gamma_1)
  = \bC[t_4, t_6, t_8, t_{10}, s_{10}, t_{12}] / (s_{10}^2 - \Delta_{20}(t)),
\end{align}
where the lower indices indicate the weights,
and $\Delta_{20}(t)$ is defined in \pref{eq:Delta_20}.
\end{theorem}

\begin{proof}
Giving a $P_1$-polarized K3 surface is equivalent to giving an elliptic K3 surface
with a section and two singular fibers containing an $E_7$-configuration
(i.e., of Kodaira type $\mathrm{II}^*$ or $\mathrm{III}^*$),
which we may assume to lie above $0$ and $\infty$
on the base $\bfP^1$.
An elliptic K3 surface with a section
admits a Weierstrass model of the form
\begin{align} \label{eq:weierstrass1}
 z^2 = y^3 + g_2(x,w) y + g_3(x,w)
\end{align}
in $\bfP(1,4,6,1)$
(cf.~e.g.~\cite[Section 4]{MR2732092}).
Recall that the elliptic surface \eqref{eq:weierstrass1}
has a singular fiber of type either $\mathrm{II}^*$ or $\mathrm{III}^*$
at $a \in \bfP^1$
only if
$
 \ord_a g_2(x,w) \ge 3
$
and
$
 \ord_a g_3(x,w) \ge 5
$
(cf.~e.g.~\cite[Table IV.3.1]{MR1078016}).
This requires
\begin{align}
 g_2(x,w) &= u_{5,3} x^5 w^3 + u_{4,4} x^4 w^4 + u_{3,5} x^3 w^5,
  \label{eq:weierstrass2} \\
 g_3(x,w) &= u_{7,5} x^7 w^5 + u_{6,6} x^6 w^6 + u_{5,7} x^5 w^7.
  \label{eq:weierstrass3}
\end{align}
It has a singularity worse than
rational double points
on the fiber at $a \in \bfP^1$
if and only if $\ord_a(g_2) \ge 4$ and
$\ord_a(g_3) \ge 6$
(cf.~e.g.~\cite[Proposition I\!I\!I.3.2]{MR1078016}).
This is the case if and only if either
$u_{3,5}=u_{5,7}=0$ (for $a = 0$)
or $u_{5,3}=u_{7,5}=0$
(for $a=\infty$).
The parameter
\begin{align}
 u = (u_{5,3}, u_{4,4}, u_{3,5}, u_{7,5}, u_{6,6}, u_{5,7})
  \in U \coloneqq \bC^6 \setminus
   \lc u_{3,5}=u_{5,7}=0 \text{ or } u_{5,3}=u_{7,5}=0 \rc
\end{align}
appearing in the Weierstrass model \pref{eq:weierstrass1}
is unique up to the action of $(\bCx)^2$
given by
\begin{align}
 \bCx \ni \lambda \colon
  ((x,y,z,w),(u_{i,j})_{i,j}) \mapsto (x,\lambda^{2} y,\lambda^{3} z,w), (\lambda^{(i+j)/2} u_{i,j})_{i,j})
\end{align}
and
\begin{align}
 \bCx \ni \mu \colon
  ((x,y,z,w),(u_{i,j})_{i,j}) \mapsto ((\mu^{-1} x,y,z, \mu w), (\mu^{i-j} u_{i,j})_{i,j}).
\end{align}
Note that the former $\bCx$-action rescales the holomorphic volume form
\begin{align}
 \Omega= \Res \frac{w dx \wedge dy \wedge dz}{z^2 - y^3 - g_2(x,w;u) y - g_3(x,w;u)}
\end{align}
as
\begin{align}
 \Omega_{\lambda u}
  &= \Res \frac{w dx \wedge d(\lambda^2 y) \wedge d (\lambda^3 z)}{(\lambda^3 z)^2 - (\lambda^2 y)^3 - g_2(x,w;\lambda \cdot u) (\lambda^2 y) - g_3(x,w;\lambda \cdot u)}
 = \lambda^{-1} \Omega_u,
\end{align}
whereas the latter
(which comes from the automorphism of the base $\bfP^1$
fixing $0$ and $\infty$)
keeps it invariant.
The categorical quotient
$
 T \coloneqq U / \bCx_\mu
$
is the coarse moduli scheme of pairs
$(Y, \Omega)$ consisting of a $P_1$-polarized K3 surface $Y$
and a holomorphic volume form $\Omega \in H^0(\omega_Y)$ on $Y$.
The coordinate ring $\bC[T]$ of $T$
is generated by six elements
\begin{align}
 t_4 &\coloneqq u_{4,4}, &
 t_6 &\coloneqq u_{6,6}, &
 t_8 &\coloneqq u_{5,3} u_{3,5}, \\
 t_{10} &\coloneqq u_{5,3} u_{5,7} + u_{3,5} u_{7,5}, &
 s_{10} &\coloneqq u_{5,3} u_{5,7} - u_{3,5} u_{7,5}, &
 t_{12} &\coloneqq u_{7,5} u_{5,7}
\end{align}
with one relation
\begin{align} \label{eq:Delta_20}
 s_{10}^2 = \Delta_{20}(t) \coloneqq t_{10}^2 - 4 t_8 t_{12}.
\end{align}
The boundary of the affinization
$
 \Tbar \coloneqq \Spec \bC[T]
$
is given by
\begin{align}
 \lc t_8 = t_{10} = s_{10} = t_{12} = 0 \rc \cong \bC_{t_4} \times \bC_{t_6}.
\end{align}
The period map induces an isomorphism
of the graded ring of modular forms
and the coordinate ring $\bC[T]$.
The weight of the modular form is identified
with the weight of the $\bCx_\lambda$-action, and
\pref{th:main} is proved.
\end{proof}

\section{Modular forms of $\rO(2,4;\bZ)$ with characters}
 \label{sc:O24}

The lattice $T_1$ has a unique extension
$
 T_1 \subset T_2 \subset T_1 \otimes \bQ
$
of index 2
to an odd unimodular lattice
$
 T_2
  \cong U^{\perp 2} \bot \la -1 \ra^{\bot 2}
  \cong \la 1 \ra^{\bot 2} \bot \la -1 \ra^{\bot 4},
$
and $T_1$ is the sublattice of $T_2$
consisting of even elements;
\begin{align}
 T_1 \cong \lc v \in T_2 \relmid \pair{v}{v}  \in 2 \bZ \rc.
\end{align}
It follows that
$
 \rO(T_2)
  \cong \rO(2,4;\bZ)
$
can naturally be identified with $\rO(T_1)$
as a subgroup of $\rO(T_1 \otimes \bQ)$,
so that
\begin{align}
 A(\rO(T_2)) \cong A(\rO(T_1)) = A(\Gamma_1)^{\la \sigma_1 \ra}.
\end{align}
Since $\sigma_1$ acts on $U$ by sending $u_{i,j}$ to $u_{j,i}$,
one obtains a proof of the following:

\begin{theorem}[{\cite[Theorem 1]{MR2718942}}]
 \label{th:Vinberg}
The graded ring $A(\rO(2,4;\bZ))$ of automorphic forms
is given by
\begin{align}
 A(\rO(2,4;\bZ))
  = \bC[t_4, t_6, t_8, t_{10}, t_{12}]
\end{align}
where the lower indices indicate the weights.
\end{theorem}

In fact,
this proof of \pref{th:Vinberg} already appears
in \cite{MR4015343}.
In particular,
\pref{eq:weierstrass1}
is identical to \cite[(4.13)]{MR4015343}
up to an obvious change of coordinates.
Note that `isomorphisms of $H \oplus E_7(-1) \oplus E_7(-1)$
lattice polarized K3 surfaces'
in \cite[Proposition 4.3.(b)]{MR4015343}
come from the action of $\sigma_1$,
and as such are not isomorphisms of lattice polarized K3 surfaces
in the sense of \cite{MR1420220}.

The coarse moduli space
$
 M \coloneqq \cD/\rO(T_1)
$
of $P_1$-polarized K3 surfaces
up to the action of $\sigma_1$
is an open subvariety
of its Satake--Baily--Borel compactification
$
 \Proj A(\rO(T_1))
  \cong \bfP(4,6,8,10,12).
$
Although $M$ and
the the orbifold quotient
$
 \bM \coloneqq \ld \cD/\rO(T_1) \rd
$
are closely related,
the canonical morphism $\bM \to M$
is not an isomorphism
even in codimension 1.
In order to obtain an orbifold
which is isomorphic to $\bM$ in codimension 1
(so that
the total coordinate rings are isomorphic),
we first consider the stacky weighted projective space
$
 \bP \coloneqq \bP(4,6,8,10,12),
$
defined as the quotient of $\bC^5 \setminus \bszero$
by a $\bCx$-action with this weight.
The morphism
$
 \bM \to M
$
lifts to a morphism
$
 \bM \to \bP,
$
which is an isomorphism in codimension 0,
since the generic stabilizers are $\lc \pm \id \rc$
on both sides.

Stabilizers of $\bM$ along divisors come from
reflections,
and besides $\sigma_1$ appearing above,
there are two more reflections that one can easily find
in $\rO(T_1)$.
The first one, which we call $\sigma_2$,
is the reflection along the $(-2)$-vector
whose reflection hyperplane is defined by
\begin{align} \label{eq:Delta_8}
 \Delta_8(t) \coloneqq t_8.
\end{align}
In terms of $P_1$-polarized K3 surfaces,
this divisor corresponds to the locus
where the Picard lattice contains
$
 U \bot E_7 \bot E_8.
$
The second one, which we call $\sigma_3$,
is the reflection along the $(-2)$-vector
whose reflection hyperplane
corresponds to the locus
where the Picard lattice contains
$U \bot E_7 \bot E_7 \bot A_1$.
In order to describe this locus,
first consider the discriminant
$
 4 g_2(x,w;t)^3 + 27 g_3(x,w;t)^2
$
of
$
 y^3 + g_2(x,w;t) y + g_3(x,w;t)
$
as a polynomial in $y$,
which is the product of $x^9 w^9$
and a homogeneous polynomial $h(x,w;t)$,
of degree 6 in $(x,w)$
and degree 12 in $t$.
Note that the discriminant of the polynomial
$
 \sum_{i=0}^n a_i x^i w^{n-i}
$
with respect to $(x,w)$
is homogeneous of degree $2(n-1)$
in $\bZ[a_0, \ldots, a_n]$
if $\deg a_0 = \cdots = \deg a_n = 1$.
It follows that the discriminant
$k_{120}(t)$ of $h(x,w;t)$ with respect to $(x,w)$
is a homogeneous polynomial
of degree $2 \cdot 5 \cdot 12 = 120$ in $t$.
A general point
on the divisor of $\bfP(4,6,8,10,12)$
defined by $k_{120}(t)$
corresponds to the locus
where two fibers of Kodaira type $\mathrm{I}_1$ collapse
into one fiber.
This divisor has two components;
a general point on one corresponds to the case
when there exists a point $p = [x:w] $ on $\bfP^1$ such that
neither $g_2$ nor $g_3$ vanishes at $p$,
and a general point on the other component
corresponds to the case
when both $g_2$ and $g_3$ vanishes at $p$.
In the former case,
the resulting singular fiber is of Kodaira type $\mathrm{I}_2$,
and the surface acquires an $A_1$-singularity.
In the latter case,
the resulting singular fiber is of Kodaira type I\!I,
and the surface does not acquire any new singularity.
The defining equation of the latter component
is the resultant of $g_2$ and $g_3$.
It is given as the determinant
\begin{align}
 r_{20}(t)=
\left|
\begin{array}{cccc}
 u_{5,3} & u_{4,4} & u_{3,5} & \\
 & u_{5,3} & u_{4,4} & u_{3,5} \\
 u_{7,5} & u_{6,6} & u_{5,7} & \\
 & u_{7,5} & u_{6,6} & u_{5,7}
\end{array}
\right|
\end{align}
of the Sylvester matrix,
which is homogeneous of degree 20.
As shown in \cite[Lemma 6.1]{1406.0332},
the polynomial $k_{120}(t)$ is divisible by $r_{20}(t)^3$, and
a direct calculation using a computer algebra system
shows that the quotient
\begin{align} \label{eq:Delta_60}
 \Delta_{60}(t) \coloneqq k_{120}(t)/r_{20}(t)^3
\end{align}
is irreducible.

Recall from
\cite{MR2450211,MR2306040}
that the \emph{root construction}
is an operation
which adds a stabilizer
along a divisor.
Let $\bT$ be the stack
obtained from $\bP$
by the root construction of order 2
along the divisor on $\bP$
defined by $\Delta_{88}(t) \coloneqq \Delta_8(t) \Delta_{20}(t) \Delta_{60} (t)$,
which is the quotient of the double cover of $\bP$
branched along $\Delta_{88}(t)$
by the group $G$ of deck transformations.
The Picard group of $\bT$
(or the $G$-equivariant Picard group of $\bP$)
is generated by the pull-back
$
 \cO_{\bT}(1) \coloneqq p^* \cO_{\bP}(1)
$
of the generator $\cO_{\bP}(1)$ of the Picard group of $\bP$
by the structure morphism
$
 p \colon \bT \to \bP
$
and three line bundles $\cO_{\bT}(\bD_i)$ for $i=4,10,30$
such that the space
$
 H^0(\cO_{\bT}(\bD_i))
$
is generated by an element $s_i$
satisfying
$
 s_i^2
  = \Delta_i
  \in H^0(\cO_{\bT}(i))
  \cong H^0(\cO_{\bP}(i)).
$
The ramification formula for the canonical bundle gives
\begin{align}
 \omega_{\bT}
  &\cong p^* \omega_{\bP} \otimes \cO_{\bT}(\bD_4+\bD_{10}+\bD_{30}) \\
  &\cong \cO_{\bT}(-40) \otimes \cO_{\bT}(\bD_4+\bD_{10}+\bD_{30}) \\
  &\cong \cO_{\bT}(4) \otimes \cO_{\bT}(-44+\bD_4+\bD_{10}+\bD_{30}).
   \label{eq:omega_T}
\end{align}
Note that $\cO_{\bT}(-44+\bD_4+\bD_{10}+\bD_{30})$ is an element
of order two in $\Pic \bT$.
By comparing \pref{eq:omega_T} with
\begin{align} \label{eq:omega}
 \omega_{\bM} \cong \cO_{\bM}(4) \otimes \det
\end{align}
which follows from (the proof of) \cite[Proposition 5.1]{1406.0332},
one concludes that $\bM$ has no further stabilizer along a divisor,
so that the lift $\bM \to \bT$ of $\bM \to \bP$ is an isomorphism
in codimension 1.
It follows that $\Pic \bM \cong \Pic \bT$
is isomorphic to $\bZ \oplus (\bZ/2\bZ)^3$,
and the total coordinate ring
(also known as the Cox ring) of $\bM$ is given by
\begin{align} \label{eq:TCR}
 \bigoplus_{\cL \in \Pic \bM} H^0(\cL)
  \cong \bC[t_4,t_6,t_8,t_{10},t_{12},s_4,s_{10},s_{30}]
   / (s_4^2 -\Delta_8(t), s_{10}^2-\Delta_{20}(t),s_{30}^2-\Delta_{60}(t)).
\end{align}
A character of $\rO(T_1)$ gives a line bundle on $\bM$,
so that the ring $\Atilde(\rO(T_1))$ of modular forms with characters
is a subring of the total coordinate ring,
which in fact is the whole of it
since any line bundle on $\bM$ comes from a character
in the case at hand.
This can be seen by noting that
the universal cover $\cD \to \bM$ factors
through a $(\bZ/2\bZ)^3$-cover
defined by the equation
appearing on the right hand side of \pref{eq:TCR},
so that the line bundles $\cO_\bT(-i+\bD_i)$
for $i=4,10,30$ come from characters
of the orbifold fundamental group of $\bM$,
which is isomorphic to $\rO(T_1)$ by definition.

Note that
\pref{eq:cong} below produces
two distinct elements of order two
in $\Char(\rO(T_1))$;
one comes from the sign representation of $\fS_6$
and the other comes from the unique non-trivial representation of
$\la \tau \ra$.
Yet another element of order two comes from
the determinant representation
$
 \det \colon \rO(T_1) \to \{ \pm 1 \},
$
which does not belong to the subgroup of $\Char(\rO(T_1))$
generated by the above two characters.
Since $\det(g) = -1$ for any reflection $g \in \rO(T_1)$,
the character of the modular form $s_4 s_{10} s_{30}$ is $\det$.
As we explain in \pref{sc:six_lines},
the characters of the modular forms $s_{10}$ and $s_{30}$
come from the non-trivial representation of $\la \tau \ra$
and the sign representation of $\fS_6$ respectively.

\section{Configuration of six lines on the plane}
 \label{sc:six_lines}

Let $L_1, \ldots, L_6$ be six lines on $\bfP^2$
in very general position,
and $Y$ be the K3 surface
obtained as the resolution
of 15 ordinary double points
on the double cover of $\bfP^2$
branched along the union of these six lines.
Fix an isometry $H^2(Y;\bZ) \cong \KL$ and
regard the Picard lattice $P_3$ of $Y$
as a sublattice of $\KL$.
The lattice $P_3$ is an even lattice of signature $(1,15)$
generated by the classes of strict transforms of the lines
and 15 exceptional divisors.
The primitive embedding of $P_3$ into $\KL$ is unique up to the action of $\rO(\KL)$
by \cite[Theorem 1.14.4]{MR525944}.
The orthogonal lattice $T_3$ of $P_3$
inside $\KL$ is isometric to
$
 T_2(2) \cong U(2) \bot U(2) \bot A_1 \bot A_1,
$
so that one has
\begin{align}
 \rO(T_3) \cong \rO(T_2).
\end{align}
Set
$
 \Gamma_3 \coloneqq \Gamma_{P_3}
$
and
$
 \Gamma(2) \coloneqq \lc g \in \rO(T_3) \relmid g \equiv \id_{T_3} \mod 2 \rc.
$
The intersection
$
\Gamma(2)^+ \coloneqq \Gamma(2) \cap \rO^+(T_3)
$
of $\Gamma(2)$
with the subgroup $\rO^+(T_3) \subset \rO(T_3)$ of index two
preserving the connected component $\cD^+$ of $\cD = \cD^+ \cup \cD^-$
is the monodromy group of the hypergeometric function of type (3,6)
studied extensively in \cite{MR1136204}.

\begin{proposition} \label{pr:Gamma3}
One has
$
 \Gamma_3 = \Gamma(2).
$
\end{proposition}

\begin{proof}
It follows from \cite[Corollary 1.5.2]{MR525944} that
$\Gamma_3$ is the kernel of the natural homomorphism
from $\rO(T_3)$
to the group of automorphisms
of the discriminant group of $T_3$
(i.e., the quotient of the dual lattice
$T_3^\dual \coloneqq \Hom(T_3, \bZ)$
by the natural injection $T_3 \hookrightarrow T_3^\dual$).

It is shown in \cite[Proposition 2.7.3 and Corollary 2.7.4]{MR1136204}
that
$
\Gamma(2)^+
$
is a reflection group
generated by reflections along 20 $(-2)$-vectors
given on \cite[p.~103]{MR1136204}.
One can easily check that every reflection acts
on $T_3^\vee/T_3$ as the identity,
so that $\Gamma(2) \subset \Gamma_3$.

On the other hand,
it is shown in \cite[Proposition 2.8.2]{MR1136204} that
the quotient group
$
 \rO(T_3)/\Gamma(2)
$
is the finite group given by
\begin{align}
 \lc
  \begin{pmatrix} Y_4 &0 \\ 0 & \eta_2 \end{pmatrix}
 \relmid
  Y_4 \in \Sp(2, \bZ/2\bZ), \,
  \eta_2 \in \{I_2,U\}
 \rc,
\end{align}
where
\begin{align}
 \Sp(2,\bZ/2\bZ) \coloneqq
  \lc Y_4 \in \GL(4, \bZ/2\bZ) \relmid
   Y_4^T (U \oplus U) Y_4 = U\oplus U \rc.
\end{align}
Note that
$
 \Sp(2,\bZ/2\bZ)
$
is generated by
\begin{align}
 \begin{pmatrix} 1 & 1 & \\ 0 & 1& \\& & I_2 \end{pmatrix},
 \begin{pmatrix} U & \\ & I_2 \end{pmatrix},
 \begin{pmatrix} 1 &  & \\ & U& \\& & 1 \end{pmatrix},
 \begin{pmatrix} I_2 & \\ & U \end{pmatrix},
 \ \text{and} \
 \begin{pmatrix} I_2 &  & \\  & 1& 1 \\ &0 & 1 \end{pmatrix},
\end{align}
and isomorphic to the symmetric group $\fS_6$ of degree 6.
One can easily see that
if $h \in \rO(T_3)/\Gamma(2)$ is not the identity,
then $h$ induces a non-trivial transformation on $T_3^\vee/T_3$,
so that $\Gamma(2) = \Gamma_3$.
\end{proof}

We write the element of order 2
in $\rO(T_3) / \Gamma_3$
represented by $I_4 \oplus U$ as $\tau$,
so that
\begin{align} \label{eq:cong}
 \rO(T_3)/\Gamma_3 \cong \fS_6 \times \la \tau \ra.
\end{align}

The \emph{Igusa quartic} is
the Siegel modular variety of genus 2,
which can naturally be identified with the moduli spaces of
\begin{itemize}
 \item
principally polarized abelian surfaces,
 \item
genus two curves, and
 \item
hyperelliptic curves of genus two,
i.e., configurations of six points on $\bfP^1$.
\end{itemize}
It can be described as a quartic hypersurface in $\bfP^4$,
defined by the equations
\begin{align}
 \sum_{i=0}^5 x_i &= 0, \\
 \lb \sum_{i=0}^5 x_i^2 \rb^2 &= 4 \sum_{i=0}^5 x_i^4
\end{align}
in $\bfP^5$.
The GIT quotient
$
 \Xbar(3,6)
$
of
$
 (\bfP^2)^6
$
by the action of $\PGL_3 \cong \Aut \bfP^2$
with respect to the democratic weight
is known to be the double cover of $\bfP^4$
branched along the Igusa quartic
by \cite{MR1007155}.
The period map
from the configuration space $X(3,6)$
of six lines on $\bfP^2$
in general position
to the modular variety
$
 M_3 \coloneqq \cD / \Gamma_3
$
extends to an isomorphism
from $\Xbar(3,6)$
to the Satake--Baily--Borel compactification $\Mbar_3$
of $M_3$
by \cite{MR1136204}.
As explained in \cite[Section A.2]{MR1136204},
the action of $\tau$ on $M_3$
gives an involution on $M_3$
whose fixed locus is the moduli space of six points on a conic,
which can naturally be identified
with the Igusa quartic;
the natural projection
$
 \Mbar_3 \to \Mbar_3 /\la \tau \ra \cong \bfP^4
$
is a double cover of $\bfP^4$
branched along the Igusa quartic.
The residual action of $\fS_6$ on $M_3 / \la \tau \ra$
is the projectivization
of the the natural action of $\fS_6$ on
$
 \lc (x_1, \ldots, x_6) \in \bA^6 \relmid x_1 + \cdots + x_6 = 0 \rc
$
by permutation of coordinates.
The quotient
\begin{align}
 \cD/\rO(T_3)
  \cong M_3 / \fS_6 \times \la \tau \ra
  \cong \bfP^4 / \fS_6
  \cong \Spec A(\rO(T_3))
\end{align}
is the weighted projective space
$
 \bfP(2,3,4,5,6) = \Proj \bC[t_4,t_6,t_8,t_{10},t_{12}],
$
where $t_{2i}$ are symmetric functions of degree $i$ in $x_1, \ldots, x_6$.
The projection
\begin{align}
 M_1 \coloneqq \cD/\Gamma_1
  \to \cD/\rO(T_1) \cong \bfP(2,3,4,5,6)
\end{align}
is the double cover branched along
the hypersurface defined by
$\Delta_{20}(t).$
It follows that the character of $s_{10}$
is the composite of
$
 \rO(2,4;\bZ)
  \cong \rO(T_3)
  \to \rO(T_3)/\Gamma_3
  \cong \fS_6 \times \la \tau \ra
  \to \la \tau \ra
$
and the non-trivial representation of $\la \tau \ra$.

Since the branch locus of the double cover of $\bfP(2,3,4,5,6)$
associated with the sign representation of $\fS_6$
is the discriminant $\Delta_{60}(t) = \prod_{1 \le i < j \le 6}(x_i-x_j)^2$,
the character of the modular form $s_{30}$ is the composite
of the surjection $\rO(2,4;\bZ) \to \fS_6$
and the sign representation of $\fS_6$.

\bibliographystyle{amsalpha}

redpajama_set_name: RedPajamaArXiv


Zambales offers a lot of options when it comes to advnture. You can go climb mountains, swim rivers but my favorite of all are its beaches. Yes Zambales does not have those pristine white sands just like in the visayas, but they are as close as three hours from Manila and offers a lot of activities that the family can enjoy.
Liw-liwa is small coastal community in Zambales with a vibrant surfing scene. The beach may not be as soft and as white as the others but it offers a huge beach area where you can just enjoy laying out under the sun while watching surfing to their stuff.
As you emerge from the community to the beach you will also be amazed by how raw this area is (I just hope that this would stay the way it is). The beach is lined up not with coconut trees but with pine trees with the towering mountains of Zambales behind them. I couldn't help my self but just stare at it for minutes!
Since I was with a friend we opted to stay in a private hut in La Zerena Resort but if you are solo or you and your friends would like to meet new people I highly suggest to stay in The Circle Hostel which is just right across La Zerena or a better alternative is the HideOut Hostel.
The most convenient place to get almost everything that you need is at Fely's Store and Canteen. They have a meal menu mostly Tapsis starting around 75.00, Fruit shakes at about 50.oo and other things that you may need including personal necessities.
You can bring your own tent, the beach is huge you can just pitch your tent for free.
There are toilets that you can pay to use.
If you opt to stay in a room, call ahead of time and reserve. They get fully booked easily on weekends.
If you plan to go to the falls ask for the husband of the massage therapist at the resort on La Zerena's right.


text:
Hope Beyond
Valley Light Home
Beads for Water
Valley Light Building Project
Valley Light Home (Coming Soon)
Give Clean Water
Give to Rescue Fund
Donate Now | Ways to Give
12 Days of Giving (Day 11)
Clean Water, Just One Africa
On the eleventh Day of Giving, I choose to see beautiful pictures showing the hope and joy that comes when you have consistent access to clean water. "It only takes a small act of kindness to make the darkness shrink back."
https://www.justoneafrica.org/wp-content/uploads/2020/12/just-one-africa-friends.jpg 1333 2000 Clay Churchill https://www.justoneafrica.org/wp-content/uploads/2018/04/just-one-africa-logo.png Clay Churchill2020-12-24 12:46:242020-12-24 12:46:3812 Days of Giving (Day 11)
Did you know we're trying to unlock $65,500 in matching grant funding before the end of the month? Every gift made between now and December 31 will be doubled to help empower families, community centers, medical clinics and hospitals, schools, and child-serving ministries
https://www.justoneafrica.org/wp-content/uploads/2020/12/water-changes-everything-mobile.jpg 667 1000 Clay Churchill https://www.justoneafrica.org/wp-content/uploads/2018/04/just-one-africa-logo.png Clay Churchill2020-12-23 10:39:592020-12-24 10:53:3512 Days of Giving (Day 10)
12 Days of Giving (Day 9)
Clean Water, Sustainability, Vulnerable Children
On the 9th Day of Giving, I chose to recognize these important water facts and their meaning as well as take action. Do you recognize protecting young girls is connected to clean water access?
https://www.justoneafrica.org/wp-content/uploads/2020/12/clean-water-saves-girls-lives.jpg 1336 2000 Clay Churchill https://www.justoneafrica.org/wp-content/uploads/2018/04/just-one-africa-logo.png Clay Churchill2020-12-22 09:46:272020-12-22 14:37:1012 Days of Giving (Day 9)
Clean Water, Just One Africa, Sustainability
Changing the world is easy and fun! Share a Post, Buy a Bracelet, Donate to Create Clean Water, Encourage Others, Sponsor a Child, Give away your Birthday, and Communicate with others.
https://www.justoneafrica.org/wp-content/uploads/2020/12/changing-the-world-is-easy.jpg 1333 2000 Clay Churchill https://www.justoneafrica.org/wp-content/uploads/2018/04/just-one-africa-logo.png Clay Churchill2020-12-20 20:45:132020-12-21 20:47:3012 Days of Giving (Day 7)
Clean Water, Sustainability
Did you know clean water access creates sustainability? Right now our partners in southern Kenya are literally digging trenches for a very important sustainability project. Stretching over several kilometers large pipes are being laid connecting hundreds of people to the water storage tanks at the borehole transporting clean water!
https://www.justoneafrica.org/wp-content/uploads/2020/12/clean-water-creates-sustainability.jpg 1500 2000 Clay Churchill https://www.justoneafrica.org/wp-content/uploads/2018/04/just-one-africa-logo.png Clay Churchill2020-12-19 06:47:532020-12-21 19:00:2612 Days of Giving (Day 6)
The day the world changed for the Kunchu community, elephants and all! It was the morning of day six in Kenya and it had already been a very full week of two filter distributions a day, in-depth updates on sustainability projects,…
https://www.justoneafrica.org/wp-content/uploads/2020/12/kunchu-community-water.jpg 1125 2000 Clay Churchill https://www.justoneafrica.org/wp-content/uploads/2018/04/just-one-africa-logo.png Clay Churchill2020-12-18 00:01:482020-12-19 08:04:0112 Days of Giving (Day 5)
COVID-19 has deepened the clean water crisis in massive ways pushing people to the edge of desperation. Providing hygiene training and water filters to families who are waiting for clean water access is critical to saving lives! You can make a difference in ways that really help.
https://www.justoneafrica.org/wp-content/uploads/2020/12/just-add-water-video.jpg 563 1000 Clay Churchill https://www.justoneafrica.org/wp-content/uploads/2018/04/just-one-africa-logo.png Clay Churchill2020-12-17 06:13:532020-12-21 18:31:0512 Days of Giving (Day 4)
12 Days of Giving (Day 2 & 3)
Your purchase of a Just One Africa bracelet will make a family's Christmas wish come true! You can help provide a life-changing water filter for a family who is still waiting for help and in desperate need of clean water!
https://www.justoneafrica.org/wp-content/uploads/2020/12/mai-mahui-mini-wrap-bracelet.jpg 576 1024 Clay Churchill https://www.justoneafrica.org/wp-content/uploads/2018/04/just-one-africa-logo.png Clay Churchill2020-12-16 18:09:182020-12-21 18:13:0712 Days of Giving (Day 2 & 3)
Live Out What You Believe
"Ideas, dreams, and visions, don't change the world. Rather, it's people - like you and me, who faithfully, prayerfully, and tenaciously live out these ideas, dreams, and visions - who change the world." ~ Eugene Cho When you live…
https://www.justoneafrica.org/wp-content/uploads/2020/11/live-out-what-you-believe.jpg 1125 2000 Clay Churchill https://www.justoneafrica.org/wp-content/uploads/2018/04/just-one-africa-logo.png Clay Churchill2020-11-03 16:26:312020-12-18 08:53:21Live Out What You Believe
What is Your "YES" Today?
"Sometimes something touches your heart so deeply that "doing nothing" isn't an option anymore. You become determined to make a change rather than coming up with excuses of why you can't. Not because the fear stops lurking, but because…
https://www.justoneafrica.org/wp-content/uploads/2016/11/little-friend-at-distribution.jpg 563 1000 Clay Churchill https://www.justoneafrica.org/wp-content/uploads/2018/04/just-one-africa-logo.png Clay Churchill2020-08-31 21:38:062020-09-01 21:49:21What is Your "YES" Today?
Remember, You are Awesome!
Experience Trips
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redpajama_set_name: RedPajamaCommonCrawl


A hot rising star on the Perth scene, Jaydream has made the big move from trance to house, delighting all in her path. Winning the Habitat DJ Competition in 2016, Jay has been smashing the club circuit as well as the bush events scene ever since. Her incredible energy and passion have landed her more and more gigs, leading to a residency at Geisha, Perth's Home of House, with regular appearances for Perth party purveyors, Habitat. Jaydream has solidified her place in the winner's circle, supporting some epic acts such as James Zabiela, Dom Dolla, Pig&Dan, Deborah DeLuca, Green Velvet, Carl Cox, Patrice Baumel, not to mention many many international trance artists. A Jaydream set will throw down heavy basslines, infectious grooves and that extra somethin' somethin'. This unique blend of serendipitous sizzle has snagged her bookings at the legendary Australian club Revolver, Bali hotspot Cocoon Beach Club, and an appearance on RTRFM 92.1 for Trainwreck & Looney Choons. Jaydream's passion for the music is going to follow you through 2018, so be sure to catch this epic treat.


text:
Q: geom_path grouped and path ordered by categorical factor I am looking for a solution to order the pathway of geom_path based on a defined order set to a factor.
I have been working with the fist two PCA dimensions. Using library("factoextra") and library("FactoMineR") I generate my figure with fviz_pca_ind().
raa_male <- fviz_pca_ind(
  pca.data,
  fill.ind = male_raa.df$Season,
  pointsize = male_raa.df$BRI,
  pointshape = 21,
  repel = TRUE
)

The data is arranged in to individuals (shown by text labels).

Using geom_path I want to connect points of the same individual, by order the path way the factor season, c(Autumn, Winter, Spring). However I am having difficulty doing this
male_raa.df$Season <- factor(male_raa.df$Season, levels = c("Autumn", "Winter", "Spring"))

raa_male +
  geom_path(
    arrow = arrow(angle = 15, ends = "last", type = "closed"),
    alpha = 0.2,
    aes(group = male_raa.df$TagID)
  )

The ordering set to factor does not appear translating to ordering of the geom_path pathway.

A: Here's a smaller example, compare the original and sorted version. geom_path is ordered based on the order of appearance in the data, so if you want it to reflect an ordered factor, sort by that first.
df1 <- data.frame(x = 1:3,
                  y = c(1,2,1),
                  season = LETTERS[1:3])
df1$season = factor(df1$season, levels = c("B","C","A"))

library(ggplot2); library(dplyr)
ggplot(df1, aes(x,y, label = season)) +
    geom_path(arrow = arrow(angle = 15, ends = "last", type = "closed")) +
    geom_label()

ggplot(df1 %>% arrange(season), aes(x,y, label = season)) +
    geom_path(arrow = arrow(angle = 15, ends = "last", type = "closed"),) +
    geom_label()

redpajama_set_name: RedPajamaStackExchange


The top gainers among Nifty50 are GAIL India, Tata Motors, Dr Reddy's, and SBIN, however, the top losers are Yes Bank, NTPC, Hindalco, and India Bulls etc.
On the other hand, the Sensex falls 150 points amid weak Asian cues. Nifty mid-cap index falls half a percent.
Update: The country's largest private sector lender, ICICI Bank is likely to report a steep decline in the second quarter profit due to elevated provisions and weak treasury income.


text:
Q: Tycho: Debug Eclipse Plugin in IntelliJ IDEA Is there a way to create and debug an instance of Eclipse with the developed plugin?
I'm using IntelliJ IDEA + Tycho to create an Eclipse Plugin.
I've found the "tycho-eclipserun" command but it does not start an instance of Eclipse.


One day after announcing a research collab with Bristol-Myers Squibb (NYSE:BMY), Taris Biomedical revealed that it has raised $25 million in a Series B round. Bristol-Myers also contributed to the round, which was led by Yonghua Capital. Get the full story at our sister site, Drug Delivery Business News.
MASSDEVICE ON CALL — Newer generations of artificial hips may not be as good as their predecessors, according to research funded by the FDA.
Modern hip replacement devices using metal-on-metal joints or ceramic-on-ceramic joints may wear out faster than metal-on-polyethylene or ceramic-on-polyethylene models.
In a comparative study examining the records of more than 3,000 patients and 3,400 hips, the overall results found no advantage in the more expensive, newer artificial hips, but did see a higher rate of revision surgery in some of the results.
Taris Biomedical Inc. drummed up $18.3 million in its latest funding round.
Lexington, Mass.-based company said the equity-based B round will support its lidocaine delivery technology developed at MIT to treat bladder conditions.
Third Rock Ventures, a new backer for the company, led the round, and previous investors Flagship Ventures, Flybridge Capital Partners and Polaris Venture Partners also participated in the financing.
Filed Under: News Well Tagged With: Biolase, DJO Global, IsoRay, IVAX Diagnostics Inc., Lantheus Medical Imaging, Mirador Biomedical Inc., Pressure BioSciences Inc., Taris Biomedical, Tarpon Biosystems Inc.
MassDevice is liveblogging the MassMEDIC 11th Annual Medtech Investors Conference. We're talking to the officers and executives of some of the hottest under-the-radar medical device firms around, finding out how and why their technologies will separate them from the pack.
Taris Biomedical Inc., Lexington, Mass.
Taris Biomedical's drug-device combination delivers lidocaine directly into the bladder.


text:
India Has Developed World's 1st Male Contraceptive Injection & It Could Be Ready In 6 Months
Bhavya Mehta
For 'forever', prejudices among other reasons have insured women are subjected to various birth control methods. And men have been mostly 'untouched' with the option of a painful vasectomy.
All that's about to change.
Earlier yesterday, The Indian Council of Medical Research (ICMR) successfully completed the clinical trials of the world's first injectable male contraceptive drug.
Now, these injectible contraceptions are an alternative to the surgical procedure of a vasectomy, which is currently the only form of male sterilization available in the world.
Source: Cosmopolitan
Developed by Prof SK Guha in the 1970s, the polymer was being researched by the scientists of ICMR to turn into a drug for mass consumption since the '80s.
The product is a medical miracle for the 53.5% couples in India who opt-in for permanent sterilization methods like surgical vasectomy.
Source: Mint
According to a survey, around 36% of women opt for sterilisation as compared to 0.3% of men who opt vasectomy. The introduction of this contraceptive method will give more options to couples who want to responsibly plan a family.
The procedure is simple, the polymer will be injected in the sperm containing tube i.e the Vas Deferens under a local anesthesia by a registered medical professional. The injection works for 13 years after it loses potency.
RS Sharma, the senior scientist with ICMR claims that the product can safely be called the " world's first male contraceptive". He further mentioned:
The product is ready, with only regulatory approvals pending with the Drugs Controller. The trials are over, including extended, phase 3 clinical trials for which 303 candidates were recruited with 97.3% success rate and no reported side-effects.
Currently, the research on the injectibles is complete and has been sent to the Drug Governor-General of India for approval.
Scientists from the United States are also working on a similar contraceptive but it's still under research and if the DGGI approves of this, we'll be the first country in the world to have discovered such a polymer.
VG Somani the drug controller general of India further mentioned:
It's the first in the world from India so we have to be extra careful about approval. We are looking at all aspects, especially the good manufacturing practice (GMP) certification that won't raise any questions about its quality. I'd say it will still take about six to seven months for all the approvals to be granted before the product can be manufactured.
Source: Biospectrum
Now that we might have a substitute for surgical vasectomies for men, here's hoping that women aren't the only ones who have to always be the responsible sex.


text:
Sita Maria Dias Valles (* 23. August 1951 in Cabinda, Portugiesisch-Westafrika; † vermutlich 1. August 1977 in Luanda, Angola) war eine portugiesische bzw. angolanische Kommunistin und Anführerin des portugiesischen kommunistischen Studentenverbandes. Im Zuge der Revolte des "27. Mai" gegen die herrschende MPLA im Mai 1977 wurde Valles inhaftiert, gefoltert und anschließend ermordet.

Leben

Jugend
Sita Valles wurde am 23. August 1951 in der Exklave Cabinda als Tochter von Edgar Francisco da Purificação Valles und Maria Lúcia Dias Valles geboren. Sie wuchs in der Kolonialhauptstadt Luanda in einer wohlhabenden goesischen Familie auf, ihre Eltern waren als Kolonialbeamte von Portugiesisch-Indien nach Luanda versetzt worden.

Ausbildung und politisches Engagement
Nach Abschluss ihrer Schulausbildung begann sie ein Medizinstudium an der Universität in Luanda, wo sie erstmals in Kontakt mit politischen Gruppen, vor allem Maoisten, kam. Später wechselte sie an der Universität Lissabon und trat dort 1971 der aktiven kommunistischen Szene im Untergrund bei, unter anderem auch der União dos Estudantes Comunistas. Bald stieg sie dort zu einer der prominentesten Führungsfigur (neben Zita Seabra) auf.

Während der Nelkenrevolution am 25. April 1974 befand sich Valles bei einem Kongress der Komsomol in Moskau. Aufgrund der Geschehnisse entschied sie sie in ihre Heimat Angola zurückzukehren, um dort im Sommer 1975 der anstehenden Unabhängigkeit der portugiesischen Kolonie beizuwohnen und sich politisch zu betätigen. Kaum in Angola angekommen, schloss sie sich dem dominierenden, sich selbst als kommunistisch bezeichnenden Movimento Popular de Libertação de Angola (MPLA) an. Sie galt von Anfang an dem orthoxoden, prosowjetischen Flügel der MPLA zugehörig, angeführt von Nito Alves, Innenminister und Präsident Agostinho Neto, und José Van Dunem, General der angolanischen Streitkräfte. Letzteren heiratete Valles 1977 und bekam einen Sohn mit ihm, den sie zu Ehren von Che Guevera Ernesto nannten.

Gescheiterter Putsch im Mai 1977
Der orthodoxe Flügel – auch als "Fraccionismo" oder "Nitistas" nach Nito Alves bezeichnet – opponierte bereits kurz nach der Unabhängigkeit gegen den angolanischen Staatspräsidenten Agostinho Neto der MPLA. Sie forderten eine viel stärkere Bindung an die Sowjetunion, eine Stationierung nicht nur von kubanischen, sondern auch sowjetischen Truppen im Land, sowie eine stärkere Zentralisierung. Valles stand hinter diesen Positionen und vertrat diese öffentlich.

1976 suspendierte das Zentralkomitee der MPLA Alves und Van Dunem für sechs Monate, da ihnen vorgeworfen wurde, eine "zweite MPLA" zu gründen. Alves blieb jedoch weiterhin Innenminister unter Agostinho Neto. Im Zuge einer eingesetzten Untersuchungskommission wurde später auch Valles aus der MPLA ausgeschlossen, da ihr Spionagetätigkeit für den KGB vorgeworfen wurde.

Die Gruppe um Alves begann daraufhin im Frühjahr 1977 mit den Plänen Staatspräsident Neto zu stürzen. Der Sturm des Präsidentenpalastes, des Hauptgefängnisses und mehrerer Radiostationen am 27. Mai 1977 scheiterte jedoch, trotz Unterstützung der angolanischen Armee, vorwiegend an der Unterstützung der in Luanda stationierten, kubanischen Soldaten der Fuerzas Armadas Revolucionarias. Die Gruppe um Alves wurde festgenommen, auch Valles. Ihr wurde vorgeworfen eine der Hauptköpfe hinter dem Putsch zu sein.

Die Informationen über Valles nach ihrer Inhaftierung sind sehr vage, ungenau und teils widersprüchlich. Angeblich wurde sie nur wenige Wochen später, am 1. August 1977, zunächst von den Sicherheitskräften der angolanischen Staatssicherheit DISA (Direcção de Informação e Segurança de Angola) vergewaltigt, anschließend erschossen und in eine Grube geworfen. Auch ihr Ehemann, José Van Dunem sowie der Anführer der Gruppe Nito Alves wurden exekutiert. Im Rahmen von Säuberungsaktionen in den darauffolgenden zwei Jahren sollen bis zu 20.000 interne Oppositionelle der MPLA umgebracht worden sein.

Die portugiesischen Kommunisten distanzierten sich offiziell von Sita Valles und warfen Nito Alves vor, sie instrumentalisiert zu haben. Valles Eltern erfuhren offiziell nie vom Tod ihrer Tochter und ließen sie für mehrere Jahre suchen.

Rezeption
Bis heute gelten die Umstände um den Putsch, beziehungsweise Revolte des "27. Mai" (Vinte e Sete de Maio), wie sie in Angola und Portugal genannt wird, als weitestgehend unklar.

Leonor Figueiredo, Journalistin und Schriftstellerin, befasste sich eingehend mit der Biographie und dem Werdegang von Sita Valles. Ihre Forschungen veröffentlichte sie in dem Buch "Sita Valles: Revolucionária, Comunista até à Morte" (), das 2010 bei Alêtheia Editores erschien. Figueiredo stellt vor allem heraus wie kurz, aber doch sehr intensiv Valles kurzes Leben gewesen sei und bezeichnet sie mehrfach als "Heldin" (Heroína). Auch betont sie in ihrem Werk, wie unbekannt die Säuberungsaktionen der MPLA von 1977 bis 1979 vor allem im Ausland waren.

José Manuel Fernandes, Kolumnist bei der portugiesischen Zeitung Público, widersprach Figueiredo und kritisierte, dass es bis heute nicht klar sei, welchen Anteil und Verantwortung Valles an der brutalen Gewalt vom 27. Mai 1977 und den Folge trage.

Figueiredos Werk erschien im Dezember 2018 in einer englischsprachigen Übersetzung unter dem Titel Sita Valles: A Revolutionary until Death beim Verlag Goa 1556, übersetzt von David Addison Smith.

Einzelnachweise

Bibliographie

 Leonor Figueiredo: Sita Valles: Revolucionária, Comunista até à Morte (1951-1977), Alêtheia Editores, Lissabon, August 2010; ISBN              9789896222949

Weblinks

 Pamela D'Mello: The Goan-origin woman who fought for Angola's freedom and was killed by its first government, Scroll.in, 12. Dezember 2018 (englisch)
 Sita Vales,  protagonista do "27 de Maio" – In memorium, Club K, 20. Mai 2012 (portugiesisch)
 As duas revoluções de Sita Valles, Esquerda.net, 22. Mai 2017 (portugiesisch)

Widerstandskämpfer
Angolaner
Portugiese
Geboren 1951
Gestorben 1977
Frau

redpajama_set_name: RedPajamaWikipedia


fortune walked through the door – literally. Now raising in excess of 10 000 chickens, the enterprise is proving to be the store's proverbial golden egg. Grant Hollins visited the operation outside East London to find out more.
Part of the reason the store remains open today is that the Peters adapted to the decline in demand for everyday items and groceries, and focused on selling fuel and animal feed. However, for Thorn Park trading store, it was their sudden entry into chicken farming that really turned the business around.
In 1995 Collin and Pat were about to embark on a trip to the UK when an opportunity to farm chickens literally walked through their door.
"We were going on holiday to visit my daughter (Liezl Slater), and a guy came in with a trailer of chickens he couldn't sell and asked if we wanted them for free," Pat recalls. "Collin saw an opportunity and we agreed. We asked our other daughter (Taryn Muller) to look after them while we were away." Despite having no experience at all in caring for chickens, Taryn successfully raised the birds while her parents were on holiday, although not without some mistakes.
"She asked the farmers around here what to do and they helped her," says Pat. "By the time we got home the chickens were fully grown, but the lights (to provide warmth for the chickens when younger) were still burning." The chickens were sold and Thorn Park trading store began its foray into chicken farming.
The chicken enterprise went well at first, but as the years went by, it gradually began to stagnate. Collin's responsibilities to the store meant that he was simply unable to spend sufficient time on the chickens. Then good fortune intervened again. Liezl and her UK-born husband Mark returned to South Africa – and the enterprise received a new lease on life.
A quick learner, Mark identified a demand in the market and came up with ideas on how to meet it. He entered into a 50/50 partnership with Collin and was immediately free to pursue his ideas. Despite having no prior experience in farming or building, he set out to improve the facilities and began constructing chicken houses. He admits, however, that while growth was quickly evident, it has taken time and experience to increase the scale of the enterprise to where it stands today.
Mark Slater points to the first chicken run he built. Mark had no farming or building experience before joining the operation so was forced to learn both at a rapid rate.
Since Mark's involvement, the enterprise has grown to 2 700 chicks in brood houses and 8 000 birds in 24 larger coops. Initially, chickens were sold live at seven weeks, but as customer demand for frozen chickens has increased, the business has begun taking orders and slaughtering and packaging chickens for sale through the store. All remaining chickens are sold live.
On average, 1 300 birds are sold during the last week of each month and between 500 and 700 during each week in between. In order to meet this growing demand, Mark has streamlined a system in which birds are moved in stages as they near slaughter weight or sale readiness, usually at around seven weeks.
"They start off as day-olds in our brood houses where they remain for the first three weeks," he says. While several hundred laying hens are kept to produce eggs to be sold in the store, day-old chicks are bought from Keystone Hatchery in KwaZulu-Natal and delivered by truck each week for the operation. Chickens are fed Epol poultry feed and water supply is via drip feeders. The coops are located in two separate blocks, one consisting of 14 coops measuring 4m x 13m each and another of 10 coops, each measuring 5m x 16m.
He maintains that by being pedantic about hygiene, they are able to avoid supplementing the chicken's diet of Epol Broiler Starter and Course Finisher feed, allowing them to meet their customer's demand for traditional farm chickens. "They're marketed in the shop as 'Thorn Park Home Style Farm Chickens', so we keep them as natural as possible," he says.
"Cleanliness minimises the amount of medications and supplements we need to give them to keep them healthy, and the customers get the 'natural' chickens they want." Mark explains that at a few days old, chicks are given a vitamin and electroltye stress pack. "And that's about it," he says.
In keeping with this philosophy, Mark has built a new abattoir which adheres to his stringent requirements for impeccable hygiene. It includes slaughtering, cleaning and packaging facilities as well as showers and storage for sterilised clothing and equipment for staff, and is designed to make the entire process as efficient as possible. For Mark, the rapid expansion of the chicken farming operation is not only a response to market demand, but a reflection of his approach to work. "I'm always thinking of ways to do things better," he says.
Phone Mark Slater on 076 862 3962.


text:
Evolution Where Did We Come From
Posted 2 months ago / Theories
But why do we eat so much more meat than our primate cousins and why are we wired to.read more. Discovery of Oldest Human Fossil Fills Evolutionary Gap. Under a searing. Did Neanderthals Die Out Much Earlier Than We Thought?
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To skip or minimize discussion of human evolution, however, is to miss an opportunity to engage students. From an early age we wonder where we come from; evolution explains. I struggled with math.
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Religion's place in evolution. American public life come hell or high water—you just can't get rid of them, and they do provide some sense of common language. I don't think Martin Luther King would.
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That leads Turner to what he considers the million-dollar question: "How did Darwinian. dance. But evolution teaches us that complex, advanced phenomena develop from simple beginnings. As Bellah.
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"I'm preaching through Genesis 1–11," he said, "and I need some advice on the whole creation and evolution thing. In saying this, however, we want to avoid implying that God did an "end run" around.
The next blue moon. come from, that phrase seemed to reach popularity in the middle part of that century between the '20s and '70s," Hiscock said. Although no one knows how or why the phrase "blue.
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Evolution is change in the heritable characteristics of biological populations over successive generations. These characteristics are the expressions of genes that are passed on from parent to offspring during reproduction.Different characteristics tend to exist within any given population as a result of mutation, genetic recombination and other sources of genetic variation.
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The word 'evolution' in English started in 1600s–1650s. Did you know that unlike searching on DuckDuckGo, when you search. All we can say is that's first recorded usage in the English language was around 1615–1625.
To understand better the development of fish into land animals, he has to locate fossils that tell him the speed and direction of evolution. we find will be interesting and tell us about how these.
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So in celebration of the show, we asked Oteil a few questions. What's your first musical memory? My first snare drum at 5 years old. And probably the sound of Jazz. My dad was a music freak. It was.
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The incredible evolution of human sexuality. is complicated in such a way? Why did not we remain libertine? Yet sexuality is only the tree that conceals the forest: where does this visceral.
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Fast trains from Blackpool to York take around 2 hours and 47 minutes, covering a distance of approximately 130 kilometres. There are frequent services on the rail route between Blackpool and York.
1. Are there direct trains from Blackpool to York?
Direct trains from Blackpool to York have been found.
We usually find around 21 direct trains on the route from Blackpool to York every weekday.
2. How long is the train journey from Blackpool to York?
The Blackpool to York train travel time is normally about 2 hours and 47 minutes, whatever time you make the journey.
3. What are the Blackpool to York train times and schedule?
On weekdays the earliest direct train to York is usually scheduled to depart Blackpool around 05:11 and the last train is around 20:31. At weekends the first train of the day leaves Blackpool around 05:11, and the last at 20:29.
What's the Blackpool to York train price?
The earlier you book the better, and the cheapest tickets we've found for trains from Blackpool to York are $15.49.
Trains departing 30 days in advance will cost around $15 while booking 7 days in advance the price is around $18. Booking on the day of travel is likely to be more expensive, so it is worth booking in advance if you can to save money.
When to book Blackpool to York train tickets?
Trains in the UK usually open for booking around 3 months in advance. If booking is not yet open for your dates then you can set a booking alert to receive an email on the day that the cheapest tickets are released for your journey from Blackpool to York by train.
Which train companies operate between Blackpool and York?


This stinging nettle sprouted by the entrance of Can Masdeu, a stunning, vast and successful nowtopian experiment in the form of an anarchist squat within a 16th century leper hospital perched on a hill in the midst of Barcelona, Spain.
This was one of the most perfect locations for the metaphor of my WEEDS project.
Like the stinging nettle, this community germinated without sanction or permission, and provides healing and precious nourishment. It does so for both its dwellers and the surrounding communities, through its vast vegetable gardens that are open to the neighborhood, their convivial social and cultural activities, their full and radical implementation of sustainable practices, and by their sheer example of what the world could be like. And like the stinging nettle, it has had to and will defend itself against uprooting, if necessary.
During my stay, I was kept hydrated with delicious stinging nettle tea while painting, and my thanks go to the whole community there for hosting, feeding, and inspiring me.


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Minnesota horse tack shops and equestrian product suppliers.
Before visiting any of these Minnesota tack shops, be sure to verify their address, store hours, and appointment policies (if any). A tack shop may have ceased operations or moved to a different location, and business hours can sometimes be seasonal or irregular, especially during holiday periods. So a quick phone call may save you time and energy.
Minnesota Horse Directory - equestrian resources in Minnesota.
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Minnesota Colleges - Minnesota college and university directory.
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Minnesota Information - Minnesota geography and tourist attractions.


This entry was posted on Monday, September 29th, 2008 at 1:07 am	and is filed under Obama. 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.
Where is the other one???


• Harassment was reported on the first block of Oak St.
• Burglary was reported on the 4500 block of Lookout St.
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• DUII was reported on the 1100 block of Highway 101.
• Burglary was reported on the 3300 block of Highway 101.
• Arrest, with warrant, was reported at Three Rivers Casino and Resort.
• Arrest, with warrant, was reported at Gallagher Park.
• Trespass was reported on the 100 block of Quince St.
• Dispute was reported on the 5900 block of Glenada Rd.
• Arrest, with warrant, was reported on Bay St.
• Theft was reported on the 2000 block of 16th St.
• Theft from vehicle was reported on the 3600 block of Highway 101.
• Accident, without injury, was reported on the 5900 block of Glenada Rd.


Stranded after a tragic plane crash, two strangers must forge a connection to survive the extreme elements of a remote snow covered mountain. When they realize help is not coming, they embark on a perilous journey across hundreds of miles of wilderness, pushing one another to endure and discovering strength they never knew possible. The film stars Kate Winslet and Idris Elba. Check out some behind the scenes on how this movie was filmed on location.


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redpajama_set_name: RedPajamaGithub


text:
261 LIAT flights cancelled, 564 delayed because of crew illness
Updated: 30 Oct 2016 - 11:53PM
Passengers board a LIAT aircraft at St. Vincent's E.T. Joshua Airport in March 2016. (IWN file photo)
Regional carrier, LIAT, has had to cancel 261 flights and delayed a further 564 this year, due to crew sickness.
The average number of sick days per member of the crew is around 21 days, Prime Minister Ralph Gonsalves, who is chair of LIAT's shareholder governments told Parliament on Thursday, but reiterated that the airline has a lot of good workers.
"And I don't want to damn the crew, because I know they are very good people and it is demonstrated. But if we have a problem, we have to talk about it honestly and the management has to deal with it with good sense and sensitivity," Gonsalves said.
Regarding the airline's routes and their profitability, he said that of the top 10 performing routes, two of them are Barbados–St. Vincent and Port of Spain-St. Vincent.
The other eight routes, which make "the most positive contribution to the overhead" are Antigua-Barbados, Antigua-Dominica, Antigua-St. Kitts, Antigua-St. Lucia, Barbados-Dominica, Barbados-Grenada, Barbados-St. Lucia, and Tortola-St. Martin.
In 2015, 14 routes generated negative contribution margins: Antigua-San Juan, Barbados-Port of Spain, Barbados-St. Martin, Tortola to San Juan, Martinique to St. Lucia, Guadeloupe to Dominica, St. Martin to St. Thomas, St. Martin to St. Croix.
Miss Carival contestants and other travels in St. Vincent and the Grenadines, were affected by LIAT cancellations and delays in June. (Photo: Facebook)
Gonsalves said LIAT needs to keep some of these routes, saying that the Barbados to Port of Spain route has a lot of potential but has increasing competition from Trinidad's national carrier, Caribbean Airlines (CAL).
"And you have scheduled cancellations so, obviously, somebody is going Barbados-Port of Spain, they would take CAL rather than taking LIAT, but it has potential."
LIAT other shareholder governments are Barbados, Antigua and Barbuda, and Dominica.
Gonsalves said the shareholders have asked the management to continue to deal with the non-performing routes.
"We are not telling them which routes. They are the management. They have to decide which routes, because a route may be non-performing, but it has the potential to perform."
He said his government has no problems whatsoever with other airlines competing with LIAT.
It is "absolutely ridiculous" to say his government is not giving CAL a licence to fly to St. Vincent and the Grenadines, he said.
The Prime Minister told Parliament that what has happened is that CAL would see which routes fit within its own plan and which routes are profitable for it.
LIAT is interested in having a nexus with CAL and other small operators "to take up the slack in certain areas," he said.
Gonsalves has criticised countries serviced by LIAT for not investing in the airline.
He urged countries that want more flight to "pay to play".
"Put money in the airline, because, after all, we are now having to put in, before the end of the year, we have given the commitment for EC$600,000 out of this 5 million dollar equity injection," he said of the LIAT's latest request for capital from its owners.
"And I want to make this point that all the countries which get LIAT without any capital injection, without any equity injection, they pay for all the international carriers. They give letters of credit and when you don't reach for any period up for what the airline says would be their margin, well, then the payment is made. It comes out of the tourism promotion budget of these countries," Gonsalves said.
He promised that he will defend the interest of SVG and LIAT and ensure that it delivers better service to the nation.


text:
American Legion Post 522- Goetz Saint Louis Hubertus WI
Serving God and Country
Stories of Honor
Post 522 Units
Sons of the Legion
John (Sonny) Fogl
Mark Rostagno 05/09/2021	 06/12/2021
Home General John (Sonny) Fogl
POST 522 PIG ROAST JUNE 12th
April Meeting Notes
This month we had the great opportunity and pleasure to interview Post 522 member John (Sonny) Fogl. John will turn 90 in November. He lives at his long-time home on 51st Street in Milwaukee, where he has been for a long, long time. During our visit, we delivered John's award for 60 years of continuous American Legion Membership. John's reaction? "60 years? Holy S**t". We thanked John for being our longest-serving member, and for his loyalty to the Legion and Post 522.
We enjoyed talking with John who is a warm, friendly man, quick with the wit. He has many memories that he willingly shares. His disappointment is that his legs are not holding up and he needs a walker to get around. Overall, he is doing fine and still drives a bit. He has folks stopping in to help him quite often.
John reunited with his childhood sweetheart, Theatta (Kitty), after his military service had ended. Kitty had been divorced with a daughter, Diane, and 2 sons, Mike and Randy. John and Kitty were soon married. Kitty was a long-time active member of our ALA, and daughter Diane Hogancontinues to carry on the family tradition. After 54 happy years together, Kitty passed away. He recollected that was about 5 years ago.
John also had a brother and a sister, who have both passed away.
John's military career started when he joined the National Guard in 1948. "Then, in 1952 they turned us into the Army. They told us they drafted the whole unit. While in the Guard, we were a field artillery outfit from the Whitefish Bay Armory". John said that each man was given the opportunity to enlist in any branch they wanted.
"My brother went airborne and I said, I ain't jumping out of a perfectly good airplane. No way. A good friend of mine says 'you and I should go into the Air Force'. I know at least we'll have a bed there. Remembering our mud training with the National Guard, I said that sounds good. So I spent the next 4 years in the Air Force. Yeah."
" I was an aircraft mechanic. I went to electrical school. I went to aircraft mechanic school and powertrain school".
Before that, John experienced one of his boot camps in San Antonio. He recalled the snakes there (not fondly) , and how his buddies were always scamming him with claims that there snakes in the tent at night.
John worked on T-33's, F-94's, 86-D's, and F-896H's.
Overseas, John was stationed in southern Japan, a jump-off for Korea. "We were supposed to go to Okinawa, but we never got there."
Fortunately he did not see active combat. We were alerted quite a bit. We had our Fighters all sitting there.
He says that the only casualties in his unit were "a couple of drunks. That's about all."
John talked about one of the crashes he had observed. "I saw a B-29 come in with one engine out and you don't bank it up with that engine, because there's no power no pull. He hit the ground and it tore right over our heads. I think we could of reached up and touched it. They crashed and lost quite a few guys on the plane. They burned to death. We heard them screaming 'get me out, get me out,' but we could do nothing. The ammunition was popping off and we were in a ditch. The plane was burning and I think they had about eight hours fuel on board.
John flew quite a bit as a crew chief, or radar operator. Not as a pilot.
Returning from Japan, he was stationed in New Mexico; Clovis AF Base, not far from the Texas border.
John told us that the most memorable experience he had was getting out. "I wasn't going to stay. I had thought about going for 20 years, but then I thought I'd rather come home. And then I met my wife again, and we got married."
After leaving the Air Force, John came back to Milwaukee and went to work as a machinist at Cherry Burrell, at 30th and Burleigh. He then switched to Oil Gear at 51st and Lincoln, where he worked until his retirement.
He did leave Post 522 for a brief time, transferring back and forth between 522 and Milwaukee Post 400 on 30th and North Ave a few times. John (Sonny) liked to tend bar at Post 400, but there were some argumentative people there.
His wife said "we're going back out there (Hubertus) tomorrow". "Wherever the wife goes I had to follow. Never had any arguments at Gib and Rosie Schmitt's post".
He has always enjoyed hunting, fishing, and tending bar. He tended bar at several different establishments for over 40 years.
Asked if he would do anything different, he said "I don't know. I sometimes think I would have liked to stay in the Air Force. I enjoyed working on the planes
If a young person came up to him and asked "What should I do to get through life?" John would tell them "Work every day". Then he asked us why we weren't working today. He seemed to be accepting of fellow "retired bums".
He is interested in coming to see Post 522 one of these days, to see if it has changed. He remembers it as just a shack years ago.
In his nearly 90 years, what is John Fogl most proud of? "Living this long".
What person has influenced you the most in life? His parents. His mom "was a good woman. She took care of us and made us step on the right foot. My dad, he was a musician. He played and he worked in a foundry. He was a foreman at Motor Casting. He played the bass, and he tended bar a lot. When I was younger and started tending bar, he stopped. He figured one drunk in the family's was enough."
His military memories,? Besides the snakes of Texas? John graphically described his boat ride to Japan. "We were aboard ship. I don't know how many days we spent crashing through a hurricane. Oh didn't like that, It was like a submarine. They locked all the doors and said we can't go on deck. After we were in board maybe 15 days, we got to go out before we hit Japan. We were allowed to sit on the back end of the ship. I was hanging onto a flagpole when a wave came over. And I was flapping in the air when the wave was gone. Then I fell to the ground. I went back downstairs and jumped in bed. Enough of this s—t. Puke all over the place. Everybody, was puking from the bunks above me . I felt sorry them Navy boys. Oh God that ship. Like I said, we were like a submarine; was under water most of the time from when we left Frisco." And that's why he wanted the Air Force. "They fly".
John has traveled to Alaska twice and didn't much care for it. Nice area, but just not for him. He and Kitty spent a lot of time at his son's farm near Iron River. That was John's hunting ground. He shot quite a few deer there.
Post 522 is proud to have John Fogl as a member and a friend. Although he cannot get to meetings, he watches us with interest through our mailings. Someday we might be lucky enough to get him to the Post, for a visit. Until then , thank you John for being one of us!!
Interviewed by Mark Rostagno and Mike Grimm
Sheepshead Tournament
01/26/2022 6:30 pm - 10:30 pm
Concealed Carry Class
01/30/2022 9:00 am - 2:00 pm
Frolic of Fun 9 Hole Golf
Legion & Auxiliary Member Meeting
02/16/2022 7:00 pm - 8:30 pm
©2022 American Legion Post 522- Goetz Saint Louis Hubertus WI
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I've always considered myself to be quite a carefree and "chill" person, and I always thought that I would one day be a "chill" mom. Until I became a mom.
Whenever I imagine the worst case scenarios, my heart will drop and I'll freak out inside. These, of course, are just make believe imaginations that, thank God, never really happens.
Which brings me back to middle of this year when Tyler had his first fever (click to read) when we were having a vacation in Penang. I thought he was being difficult but turns out he was suffering from a fever. We freaked out cos we didn't have any medication with us then, and weren't familiar with paediatrics in Penang at all. That was when we Googled everything we could, including symptoms and remedies, etc.
But you know how sometimes while Googling seems like the way to go, most of the time whatever we read online scares us more than they help us. Articles that pop up always seem to show us the worst case scenarios of the symptoms, which send us into further panic mode. With so much information on the net, it's not easy to find reliable sources that we can fully trust.
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