text:
missing boy feared dead in christchurch
Gunman's image burned as NZ death toll rises
by By CHARLES MIRANDA in Christchurch
17th Mar 2019 1:00 PM
The death toll from the Christchurch terror attack has risen to 50, New Zealand Police Commissioner Mike Bush says.
The latest victim was discovered at the Deans Avenue mosque while police removed victims from the crime scenes.
"As of last night we were able to take all of the victims out of those scenes and in doing so we have located another victim," he said.
The New Zealand Police Commissioner confirmed Australian man Brenton Tarrant was the sole gunman responsible for both mosque shootings.
NZ Prime Minister Jacinda Ardern visits the Kilbirnie Mosque in Wellington, where she met the families of victims. Picture: Getty Images
New Zealand Prime Minister Jacinda Ardern today laid flowers at the Kilbirnie mosque in Wellington, where she laid a wreath and embraced mourners.
New Zealanders have gathered at hundreds of vigils across the country, leaving floral tributes and messages of support.
Prime Minister Jacinda Ardern hugs at the Kilbirnie Mosque. Picture: Getty Images
The massacre has caused outrage among Muslim communities around the world.
Fiery protests have taken place in Islamabad, Lahore, Karachi and Peshawar in Pakistan, where angry crowds burned images of the NSW-born gunman Tarrant.
Pakistani traders burn pictures of Brenton Tarrant in Peshawar. Picture: AP
At this morning's media conference, Police Commissioner Mike Bush said a man and a woman arrested soon after the shootings, were not linked to the gunman.The woman has been released without charge, the man has been charged with firearm offences.
Brenton Tarrant, is led into the dock for his appearance for murder. Police have now confirmed he acted alone.
The 18-year-old man arrested was "tangential" and not related.
"At this moment, only one person has been charged in relation to these attacks."
The police commissioner said it had been confirmed that Tarrant, who grew up in the NSW town of Grafton, had used a modified a category A firearm.
MISSING: Three-year-old Mucad Ibrahim who was last seen at the Deans Avenue mosque in Christchurch with his father and brother Abdi.
HEAD OF SURGERY TELLS OF HORROR
On top of the death toll of 50, the number of people injured is also 50. Thirty-six of those remain in Christchurch Hospital.
The head of Christchurch Hospital Greg Robertson confirmed that 12 of the injured victims are in intensive care.
Of the children in hospital, "there's two other children in the hospital at present and their condition is stable". He also said the young girl who was flown to Auckland is still in a critical condition.
Members of the Muslim community walk back from the hospital to the community centre in Christchurch. Picture: Getty
Of the patients admitted to hospital care, Robertson said they are "predominantly males".
As hundreds of family and friends await news of their loved ones from the Christchurch mosque massacre, the world stopped to pray for three-year-old Mucad Ibrahim.
Abdi Ibrahim has been looking for his three-year-old brother since the shooting.
Friends of a missing man grieve outside a refuge centre in Christchurch. Picture: AAP
Mucad had been at the Al Noor Mosque on nearby Deans Avenue with his father when the shooting started on Friday.
He is now feared dead, with no official confirmation of his status yet.
The New Zealand Red Cross website has his status as missing.
His father was wounded and is in hospital but Mucad is nowhere to be seen.
"Everyone is saying he is dead, he died at the mosque but we don't know," he said.
Members of the Bangladesh Cricket team, who were nearly caugh up in the attack, arrive at Dhaka from New Zealand.
MOSQUE'S IMAM SPEAKS OUT
The imam of the mosque where seven worshippers were killed says that the massacre hasn't shattered his community - or its trust in their adopted homeland.
"We still love this country," said Ibrahim Abdul Halim, who was leading Friday prayers at Linwood Islamic Centre when the attack happened. "Extremists would never ever touch our confidence."
"My children live here," Halim said. "They start to … give me big hugs, and give me more solidarity," he said. "This is something very important."
CATHEDRAL BECOMES A FOCAL POINT
The cardboard church that became the symbol of the recovery of Christchurch after the devastating 2011 earthquake has again become the focal of sorrow for the grieving city.
A special service was held at the so-called Transitional Cathedral for all those touched by the massacre, regardless of denomination.
The Very Reverend Lawrence Kimberley, Dean of the Transitional Cathedral, had hoped to conduct a large outdoor service but for security fears police had the event cancelled.
Instead hundreds of locals gathered at the unique cathedral, made of cardboard and local woods, to express their grief as special prayers were offered to the dead and injured.
Rev Lawrence said in consultation with his bishop they would also offer the space for local Muslims to conduct prayers as the two mosques at the centre of the tragedy are closed indefinitely.
"We are open to let Muslims use our space to come together and pray should they need it, it hasn't been easy to open a good channel of communication because they are all in a state of shock, preparing to bury their dead and need space to do that," he told News Corp Australia. "But it is an offer we are making. The service today was for everyone to express hope and compassion … it has been a difficult 48 hours, Friday extremely difficult, everyone is really distressed, lots of tears."
He said he had put in a lot of time preparing emotionally for the Sunday service.
"These sort of services carry a lot of emotion, people come here feeling distress … people are fragile, people here in tears, there is a feeling of disbelief."
The cathedral was build after the earthquake which killed 185 people and devastated large parts of the city.
A tower at the neo-Gothic Cathedral collapsed and the whole structure "cracked like a plate". So the cardboard cathedral was built nearby as the other is rebuilt.
NEW FOOTAGE OF AUSTRALIAN GUNMAN'S ARREST
New footage has showed the moments after unarmed police stopped Tarrant's car on a Christchurch street by ramming it, dragging him from the vehicle and disarming him, turning his own weapon on the terrorist.
Images showing the arrest of of Christchurch gunman Brenton Harrison Tarrant by local New Zealand Police officers.
AUSTRALIA STANDS BY NZ WITH SILVER FERN
In a sign of solidarity, a silver fern has been projected onto the Sydney Opera House following the Christchurch attack. The sails of the Opera House were lit up on Saturday night in tribute to those who died.
The Silver Fern of New Zealand illumination represented "solidarity, support and respect".
Premier Gladys Berejiklian said the display demonstrated the state's unity and compassion towards everyone affected by the attacks.
"We feel the loss in Christchurch especially deeply given the closeness of our two countries. It is as though this has occurred on our own soil," Ms Berejiklian said.
In Melbourne, the iconic frontage of Flinders Street Station was illuminated with the colours of the New Zealand flag as a show of support.
The Silver Fern of New Zealand displayed on the Sydney Opera House in a symbol of solidarity, support and respect for the people of New Zealand. Picture by Damian Shaw
ARDERN'S OFFICE KNEW OF MANIFESTO
New Zealand Prime Minister Jacinda Ardern's office has confirmed it received a copy of accused Australian gunman Brenton Tarrant's 73-page long manifesto just minutes before he carried out his mosque massacre.
According to the New Zealand Herald, Ms Ardern's office confirmed it got a copy of the document less than 10 minutes before the attacks began on Friday.
There were 70 other recipients who were emailed the manifesto, including National leader Simon Bridges and Parliament's Speaker Trevor Mallard.
A spokesman for the PM's office said it came to an email account managed by her office and not her private account.
"The mail was setting his reasons for doing it. He didn't say this is what I am about to do. There was no opportunity to stop it," a spokesman for Ms Ardern told the NZ Herald.
Once opened it was referred to Parliamentary security and then referred to police.
New Zealand Prime Minister Jacinda Ardern meets with members of the Muslim community in the wake of the mass shooting at the two Christchurch mosques. Picture: AAP
AUSTRALIAN GUNMAN'S EVIL HAND GESTURES
With an icy cold stare, a smirk and a right wing extremist hand signal, NSW man Brenton Harrison Tarrant faced Christchurch District Court on Saturday on a single murder charge related to the worst massacre in New Zealand's history.
The 28-year-old, who grew up in Grafton, didn't say anything, he was not yet required to.
But his thoughts were writ large on his demeanour as he calmly stared at the press gallery, and gently rocked on his feet. Then he made a subtle "white power" symbol with his fingers and again scanned the room seemingly looking for approval as he smirked.
His appearance lasted just three minutes, before the shackled and cuffed stocky Tarrant was ushered out of the court room. He was wearing the white prison garb he was handed after his arrest on Friday.
No plea was entered but will be required when he appears next in the High Court on April 5.
Judge Paul Kellar told the court there was only one charge at the moment "but assume there will be others", the one charge sheet stating that he "on the 15th day of March 2019 at Christchurch murdered (name suppressed) … with a maximum penalty of life imprisonment".
The judge suppressed the name of the male victim out of respect for his family and the broader community.
While Tarrant's appearance lasted just three minutes, the judge spent 10 minutes to reflect on the tragedy from a legal point of view.
A large throng of press from all over the world were the only people allowed access to the locked-down court building to bear witness to the brief proceedings and he wanted to explain why the public was banned.
He said the media were "the surrogates of the public and I've taken this decision to clear the court for reasons of public safety".
The Christchurch mosque shooting that has shocked the world. Source: YouTube
But he said for openness and transparency that were fundamental to the principles of New Zealand justice he allowed the brief proceedings to be filmed, photographed and audio recorded to relay to the world's public.
He said he felt that was the court's obligation to the victims.
As a precaution however he ordered the face of the defendant in his court proceedings be pixelated in case identity was to become an issue.
He said the recording on a pool basis followed applications by the media from Europe, North America, Australia and New Zealand. He issued an 11-page instruction document to each individual press person in the room as a "reminder you are the eyes and ears of the public" and beholden to fair and balanced reporting.
The Masjid Al Noor Mosque on Deans Avenue, the scene of a mass shooting. Picture: AAP
Outside the court house, dozens of locals lined up on the steps behind a police cordon to catch a glimpse of the man who has traumatised their city. One man attempted to get into court and vocally threatened "to knife" the accused before he was moved on by police. Tensions were running high in this city. As the court case was going on, a few hundreds of metres away a dozens of locals gathered to lay flowers and wreaths at the spot where someone was randomly killed during Tarrant's alleged drive-by shooting.
"It's too much, just too much," one woman said as she broke down in tears.
At a road junction close to the Al Noor mosque hundreds gathered to drop of flowers and show solidarity. Most of those at the site were white or of Maori descent in a show of defiance and solidarity.
Police have begun the ugly task of removing the bodies from the mosque. The bodies were loaded into hearses. Picture Gary Ramage
Christchurch was quieter than usual with a high public police presence and some shops not opening today as the city mourns the deaths and the loss of innocence of the country, previously largely untouched by the spectre of terror.
FLIGHTS TO NZ CANCELLED
Numerous flights in and out of the city were cancelled with national carrier Air New Zealand saying it couldn't screen customers and their baggage following the deadly shootings while Jetstar flights from Australia were also cancelled to help ease the pressure on resources in the city.
People have placed flowers at a local park opposite the Mosque in Deans Ave. Picture Gary Ramage
NZ BRACES FOR WORST TO COME
Tarrant's high security court appearance came as the city was warned to brace for the death toll to rise.
Police have begun the ugly task of removing the bodies from the mosque. Picture Gary Ramage
The imam who was leading prayers at Linwood mosque on the day of the shooting said the Muslim community's love for New Zealand would not be shaken by the attacks. "We still love this country," said Ibrahim Abdul Halim, ivowing that extremists would "never ever touch our confidence".
Tragic last words of terrorist's first victim
Faces of NZ victims and the missing
The warnings New Zealand ignored
Stunning fact about gunman's arrest
Shooter a 'marked man' in prison
Christchurch manifesto: 'Destroy it now'
christchurch death toll mosque shooting new south wales
Business Eatery owner fined $10,000 over cockroaches and dirty kitchen.
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Microsoft continues to 'openly' (in all senses) tinker (Redmond would prefer we said refine, augment, extend and finesse) with the mechanics of .NET Core and ASP.NET tooling right now — and it does so in specific reference and regard (we may reasonably suggest) ahead of the forthcoming Microsoft Visual Studio 2017 IDE release later this year.
Microsoft .NET Core is a cross-platform fork of the Windows-only .NET framework… it represents what many agree to be a healthy progression from the 'monolithic clunkiness' of purely proprietary .NET, which was hampered (or at least often slowed down) due to its many internal dependencies.
We know that Visual Studio 2017 is slated for release later in, well 2017… the clue is in the name.
In recent weeks, Microsoft has been working to fix bugs in the Visual Studio 2017 Release Candidate… specifically these have been focused on areas which include setup process functionality.
Visual Studio director of program management John Montgomery noted recently that the .NET Core and ASP.NET Core workload is no longer in preview.
"We have fixed several bugs and improved usability of .NET Core and ASP.NET Core tooling," he wrote, on the blogs.msdn.microsoft.com webpages.
In keeping with a generally open approach here, Microsoft has also updated its Team Explorer function which is designed to enable software application developers to source, find and connect to other projects and code repositories as they expand out their current programming ventures.
Let's also make reference to developments on the preview release of the Microsoft Delivery Plans tool — a technology base being created to help coordinate team member work efforts… so, yes, basically an Application Lifecycle Management (ALM) tool, but one that builds on existing Kanban boards and Backlogs functionality.
Microsoft Visual Studio Team Services program manager, Derrick Fu has said that when developers are planning and tracking work, it's often necessary to see that work across teams and projects.
He reminds us that Visual Studio Team Services already provides customisable Kanban boards and Backlogs to help teams get their work done, but it's often difficult to assemble the data from all those Boards and Backlogs into a comprehensive view.
What's happening now could be described as 'granular control development and improvement' happening at the same time as 'total platform extension' by Microsoft… and it's all being done with the company's open approach to open source methodologies which (for some commentators) have been more progressive than the (and this is a term that is being used) "bureaucratic community-driven processes" of traditional open source.
Microsoft does open source better than the community? Wash your mouth out now and don't even say it… surely not, who'd a thunk it?


The Level 3 Certificate in the Principles of End of Life Care training programme is designed for any health or social care worker who wishes to improve their knowledge and understanding of end of life care and palliative care. It also has relevance to other care settings including; hospices, care homes, care in the community and primary care.
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Each unit contains activities and assessments designed to cover the specific learning outcomes, so to ensure successful completion and the award of the nationally accredited Certificate in the Principles of End of Life Care training course – RQF (QCF) Level 3.
Our course materials for this distance learning end of life care training course comprise of activity workbooks, tasks, activities and assessments. These training methods will allow health and social care staff to complete a portfolio of evidence and demonstrates achievement of all learning outcomes associated with each unit.
By undertaking this specialist end of life care training programme, health and social care staff will be able to demonstrate compliance to; the Gold Standard Framework, the End of Life Care Strategy, CQC and Skills for Care minimum training standards for those staff working within the health and social care sector. Learners may progress on to further higher level qualifications in health and social care or related subjects.


text:
\subsection{Proof of Theorem~\ref{thm:G bdd fix mfd}}
In this subsection, we shall establish two gradient estimates ((\ref{eq:g estimate 1}) and (\ref{eq:g estimate 2})) and then apply Moser's iteration argument to obtain an upper bound of $\rho$.
In order to check the dependence on each data, we shall formulate the dependence of given constants.
For convenience, we write $V := \Vol_\om(X)$.
We start the proof with a useful formula:

\begin{lem}\label{lem:Gau estimate}
Suppose that $\rho \in \ker \Dt^\ast_\om$.
Then we have
\[
    \int_X F'(\rho) \dd\rho \w \dc\rho \w \om^{n-1}
    = \int_X G(\rho) \ddc\om^{n-1}
\]
where $F$ and $G$ are two real $\CC^1$-functions defined on $\BR_{>0}$ which satisfy $x F'(x) = G'(x)$.
\end{lem}

\begin{proof}
Since $\rho \in \ker \Dt_\om^\ast$, we have $\ddc(\rho \om^{n-1}) = 0$ equivalently.
From Stokes' theorem, it follows that
\begin{align*}
    0 &= \int_X F(\rho) \ddc(\rho \om^{n-1})
    = - \int_X F'(\rho)\dd\rho \w \dc(\rho \om^{n-1})\\
    &= - \int_X F'(\rho)\dd\rho \w \dc\rho \w \om^{n-1}
    - \int_X F'(\rho)\rho \dd\rho \w \dc\om^{n-1}.
\end{align*}
By the assumption $xF'(x) = G'(x)$, we obtain the desired formula
\begin{align*}
    \int_X F'(\rho) \dd\rho \w \dc\rho \w \om^{n-1}
    &= -\int_X \rho F'(\rho)\dd\rho \w \dc\om^{n-1}\\
    &= -\int_X \dd G(\rho) \w \dc \om^{n-1}
    = \int_X G(\rho) \ddc \om^{n-1}.
\end{align*}
\end{proof}

Consider $F'(x) = \frac{np^2}{4} x^{-p-2}$ and $G(x) = -\frac{np}{4}x^{-p}$ for $p \geq 1$.
By Lemma~\ref{lem:Gau estimate}, we have the following inequality
\begin{equation}\label{eq:g estimate 1}
\begin{split}
    \int_X \abs{\dd\lt(\rho^{-\frac{p}{2}}\rt)}_\om^2 \om^n
    &= \int_X n \dd \lt(\rho^{-\frac{p}{2}}\rt) \w \dc \lt(\rho^{-\frac{p}{2}}\rt) \w \om^{n-1}\\
    &= \int_X F'(\rho) \dd\rho \w \dc\rho \w \om^{n-1}
    = \int_X G(\rho) \ddc\om^{n-1}\\
    &= \frac{np}{4} \int_X \rho^{-p} \lt(-\ddc\om^{n-1}\rt)\\
    &\leq p\frac{nB}{4} \int_X \rho^{-p} \om^n.
\end{split}
\end{equation}
Put $\bt = \frac{n}{n-1} > 1$.
Combining Sobolev inequality and (\ref{eq:g estimate 1}), we get
\begin{align*}
    \lt(\int_X (\rho^{-1})^{p\bt} \om^n\rt)^{\frac{1}{\bt}}
    &\leq C_S \lt( \int_X \abs{\dd \lt(\rho^{-\frac{p}{2}}\rt)}^2_\om \om^n + \int_X \abs{\rho^{-\frac{p}{2}}}^{2} \om^n\rt)\\
    &\leq C_S \lt( p \frac{n B}{4} \int_X (\rho^{-1})^p \om^n + \int_X (\rho^{-1})^p \om^n\rt)\\
    &\leq p \lt( \frac{nB}{4} + 1 \rt) C_S \int_X \rho^{-p} \om^n.
\end{align*}
For all $p \geq 1$, we have
\begin{align*}
    \norm{\rho^{-1}}_{L^{p\bt}(X,\om)}
    &\leq p^{\frac{1}{p}} C_1^{\frac{1}{p}} \norm{\rho^{-1}}_{L^{p}(X,\om)}
\end{align*}
where $C_1$ is a constant depending only on $n, B, C_S$.
Inductively, we obtain
\begin{align*}
    \norm{\rho^{-1}}_{L^{p\bt^k}(X,\om)}
    &\leq p^{\frac{1}{p} \sum_{j=0}^{k-1} \frac{1}{\bt^j}}
    \bt^{\frac{1}{p} \sum_{j=0}^{k-1} \frac{j}{\bt^j}}
    C_1^{\frac{1}{p} \sum_{j=0}^{k-1} \frac{1}{\bt^j}}
    \norm{\rho^{-1}}_{L^{p}(X,\om)}\\
    &\leq p^{\frac{n}{p}} \bt^{\frac{n(n-1)}{p}}
    C_1^{\frac{n}{p}}
    \norm{\rho^{-1}}_{L^{p}(X,\om)}.
\end{align*}
Let $p=1$ and $k \ra \infty$ and thus we get
\[
    1 = \sup_X \rho^{-1}
    \leq \bt^{n(n-1)} C_1^n \int_X \rho^{-1} \om^n.
\]
Therefore, the $L^1$-norm of $\rho^{-1}$ is bounded away from zero by a constant $\dt$ which depends only on $n, B, C_S$:
\[
    \int_X \rho^{-1} \om^n \geq \frac{1}{\bt^{n(n-1)} C_1^n} =:2\dt.
\]
Choosing sufficiently small $\dt$, we may assume $A := V/\dt \geq 1$.
Then we have
\[
    2\dt \leq \int_{\{\rho<A\}} \rho^{-1} \om^n + \int_{\{\rho \geq A\}} \rho^{-1} \om^n
    \leq \int_{\{\rho<A\}} \om^n + \frac{1}{A} \int_X \om^n.
\]
Hence, the volume of $\{\rho < A\}$ is bounded away from zero:
\begin{equation}\label{eq:dt-vol}
    \int_{\{\rho < A\}} \om^n \geq \dt.
\end{equation}

Now, we consider $F'(x) = \frac{n(p+1)^2}{4} \frac{(\log x)^{p-1}}{x^2}$ and $G(x) = \frac{n(p+1)^2}{4p} (\log x)^p$ for $p \geq 1$.
From Lemma~\ref{lem:Gau estimate}, we find the following estimate
\begin{equation}\label{eq:g estimate 2}
\begin{split}
    \int_X \abs{\dd (\log \rho)^{\frac{p+1}{2}}}_\om^2 \om^n
    &= \frac{n(p+1)^2}{4} \int_X \frac{(\log \rho)^{p-1}}{\rho^2} \dd\rho \w \dc\rho \w \om^{n-1}\\
    &= \int_X F'(\rho) \dd\rho \w \dc\rho \w \om^{n-1}
    = \int_X G(\rho) \ddc\om^{n-1}\\
    &= \frac{n(p+1)^2}{4p} \int_X (\log \rho)^p \ddc \om^{n-1}\\
    &\leq p n B \int_X (\log\rho)^p \om^n.
\end{split}
\end{equation}
Again, Sobolev inequality, (\ref{eq:g estimate 2}), and H\"older inequality yield the following inequalities:
\begin{align*}
    \lt(\int_X (\log\rho)^{(p+1)\bt} \om^n \rt)^{\frac{1}{\bt}}
    &\leq C_S \lt( \int_X \abs{\dd (\log \rho)^{\frac{p+1}{2}}}^2_\om \om^n + \int_X (\log\rho)^{p+1} \om^n \rt)\\
    &\leq C_S\lt( p n B \int_X (\log\rho)^p \om^n + \int_X (\log\rho)^{p+1} \om^n\rt)\\
    &\leq C_S\lt( p n B V^{\frac{1}{p+1}} \lt(\int_X (\log\rho)^{p+1} \om^n\rt)^{\frac{p}{p+1}} + \int_X (\log\rho)^{p+1} \om^n \rt)\\
    &\leq (p+1) 2 n B C_S \max\{V,1\} \max\lt\{\int_X (\log\rho)^{p+1} \om^n,1 \rt\}.
\end{align*}
Write $q = p+1 \geq 2$.
We have
\[
    \norm{\log \rho}_{L^{q\bt}(X,\om)}
    \leq q^{\frac{1}{q}} C_2^{\frac{1}{q}} \max\lt\{\norm{\log\rho}_{L^q(X,\om)}, 1 \rt\}
\]
where $C_2 > 0$ is a constant depending only on $n, B, C_S, V$.
Using the similar strategy of Moser's iteration again, we derive
\begin{align*}
    \sup_X (\log\rho)
    &\leq 2^{\frac{n}{2}} \bt^{\frac{n(n-1)}{2}}
    C_2^{\frac{n}{2}} \max\{\norm{\log\rho}_{L^2(X,\om)},1\}\\
    &\leq 2^{\frac{n}{2}} \bt^{\frac{n(n-1)}{2}}
    C_2^{\frac{n}{2}} \max \lt\{(\sup_X \log\rho)^\oh \lt(\int_X \log\rho \om^n\rt)^\oh,1 \rt\}
\end{align*}
and thus
\[
    \sup_X (\log\rho)
    \leq C_3 \max\lt\{\int_X \log\rho \om^n, 1\rt\}
\]
for some constant $C_3 = C_3(n,B,C_S,V)$.

Now, everything comes down to bounding $\int_X \log \rho \om^n$ from above.
Using Poincaré inequality and (\ref{eq:g estimate 2}) with $p=1$, we get
\begin{equation}\label{eq:Gauduchon Poincare}
    \int_X \abs{\log \rho - \underline{\log\rho}}^2 \om^n
    \leq C_P \int_X \abs{\dd \log\rho}^2_\om \om^n
    \leq C_4 \int_X \log\rho \om^n
\end{equation}
where $\underline{\log\rho} = \frac{1}{V} \int_X \log\rho \om^n$ is the average of $\log\rho$ and $C_4 = C_4(n, B, C_P)$.
Then by (\ref{eq:dt-vol}), we can infer that
\begin{equation}\label{eq:Gaudhchon L1}
\begin{split}
    \dt \int_X \log\rho \om^n
    = V \dt \underline{\log\rho}
    &\leq V \int_{\{\rho < A\}} \underline{\log\rho} \om^n\\
    &\leq V \int_{\{\rho < A\}} \lt( \log A - \log\rho + \underline{\log\rho}\rt) \om^n\\
    &\leq V \int_X \lt( \abs{\log\rho - \underline{\log\rho}} + \log A\rt) \om^n.
\end{split}
\end{equation}
We use (\ref{eq:Gauduchon Poincare}) and (\ref{eq:Gaudhchon L1}) to get
\begin{align*}
    \int_X \log\rho \om^n
    &\leq \frac{V}{\dt} \lt( \int_X \abs{\log\rho - \underline{\log\rho}} \om^n + V \log A \rt)\\
    &\leq \frac{V}{\dt} \lt( V^\oh \lt(\int_X \abs{\log\rho - \underline{\log\rho}}^2 \om^n\rt)^\oh + V \log A \rt)\\
    &\leq \frac{V}{\dt} \lt(V^\oh C_4^\oh \lt(\int_X \log\rho \om^n\rt)^\oh + V \log A\rt).
\end{align*}
Note that if $x^2 \leq ax +b$ for $a, b >0$, then $x \leq \frac{a}{2}+(b+\frac{a^2}{4})^\oh$.
Eventually, we obtain
\[
    \int_X \log\rho \om^n
    \leq C_5(n,B,C_S,C_P,V)
\]
and this completes the proof of Theorem~\ref{thm:G bdd fix mfd}.
\subsection{Gauduchon metric on the central fibre}

\smallskip

\begin{thm}\label{thm:Gau current}
Suppose that $X_0$ is the central fibre in Setup~\ref{set:family setting}.
There exists a smooth function $1 \leq \rho \leq C_G$ on $X_0^\reg$ such that $\rho^\frac{1}{n-1} \om_0$ is a bounded Gauduchon metric.
Here $C_G$ is the constant introduced in Corollary~\ref{cor:G bdd family}.
\end{thm}

\begin{proof}
We shall apply standard elliptic theory on some relatively compact subsets of $X_0^\reg$ to get a smooth function $\rho$.
This $\rho$ is the limit of $(\rho_{t_j})_{j \in \BN}$ defined on the fibre $X_{t_j}$ for some sequence $t_j \ra 0$ when $j \ra + \infty$.

Recall that $\pi: \CX \ra \BD$ is submersive on $X_0^\reg$.
By the tubular neighborhood theorem, there is an open neighborhood $\CM$ of $X^\reg_0$ in $\CX^\reg$ such that the following statements hold
\begin{enumerate}
    \item
    For all $U \Subset X_0^\reg$, there exists an open set $\CM_U \subset \CX^\reg$, a constant $\dt_U > 0$, and a diffeomorphism $\psi_U: U \times \BD_{\dt_U} \xrightarrow{\sim} \CM_U$ such that the diagram
    \begin{equation*}
        \begin{tikzcd}
            U \times \BD_{\dt_U} \ar[r,"\psi_U","\mathrm{diffeo.}"']\ar[d,"\pr_2"]& \CM_U \subset \CM \subset \CX^\reg \ar[dl,"\pi"] \\
            \BD_{\dt_U}&
        \end{tikzcd}
    \end{equation*}
    commutes.
    In particular, for all $t \in \BD_{\dt_U}$, $\psi_U(\cdot, t): U \ra \CM_U$ is a diffeomorphism onto its image $M_{U,t} = \psi_U(U,t) = \CM_U \cap X_t$.
    \item
    If $U \Subset V \Subset X_0^\reg$, we have $\dt_U \geq \dt_V > 0$ and $\psi_U(x, t) = \psi_V(x, t)$ for all $x \in U$ and $t \in \BD_{\dt_V}$.
\end{enumerate}

Now, we denote by $P_t = \Dt_{\om_t}^\ast$ and fix $U_1 \Subset U_2 \Subset X_0^\reg$ which are connected open subsets.
Note that $U_i$ can be identified with $M_{U_i,t} = \psi_{U_2}(U_i,t)$ for $i \in \{1,2\}$ and for all $t \in \BD_{\dt_{U_2}}$ and hence $P_t$ can act on smooth functions defined on $U_2$.
Also, on $U_2$, the Riemannian metric $g_0$ induced by $\om_0$ is quasi-isometric to $g_t$ induced by $\om_t$, and the volume form $\om_0^n$ is comparable with $\om_t^n$.
In other words, we have a uniform constant $C_{U_2} > 0$ such that
\begin{equation}\label{eq:loc met bound}
    C_{U_2}^{-1} \iprod{\cdot}{\cdot}_{\om_0} \leq \iprod{\cdot}{\cdot}_{\om_t} \leq C_{U_2} \iprod{\cdot}{\cdot}_{\om_0},
    \text{ and }
    C_{U_2}^{-1} \om_0^n \leq \om_t^n \leq C_{U_2} \om_0^n.
\end{equation}

By G\r{a}rding inequality, we have
\[
    \norm{u}_{L^2_2(U_1,\om_0)} \leq C_{U_1, U_2}\lt( \norm{P_t u}_{L^2(U_2,\om_0)} + \norm{u}_{L^2(U_2,\om_0)} \rt)
\]
for all $u \in \CC^\infty_c(U_2)$.
The constant $C_{U_1,U_2}$ can be chosen independent of $t$ because the coefficients of $P_t$ move smoothly in $t$.
Choose a cutoff function $\chi$ such that $\supp(\chi) \subset U_2$ and $\chi \equiv 1$ on $U_1$.
From G\r{a}rding inequality, we obtain
\begin{equation}\label{eq:rho Garding 1}
    \norm{\rho_t}_{L^2_2(U_1,\om_0)}
    \leq C_{U_1,U_2} \lt( \norm{P_t(\chi\rho_t)}_{L^2(U_2,\om_0)} + \norm{\chi\rho_t}_{L^2(U_2,\om_0)} \rt).
\end{equation}
In (\ref{eq:rho Garding 1}), the second term $\norm{\chi\rho_t}_{L^2(U_2,\om_0)}$ is uniformly bounded because of Corollary~\ref{cor:G bdd family}.
Hence, we only need to estimate $\norm{P_t(\chi\rho_t)}_{L^2(U_2,\om_0)}$.
Note that
\begin{equation}\label{eq:Pt cut eq}
\begin{split}
    P_t(\chi \rho_t) &= \frac{n}{\om_t^n} \ddc_t(\chi\rho_t \om_t^{n-1})\\
    &= \frac{n}{\om_t^n} \lt( 2\dd\rho_t\w\dc_t\chi\w\om_t^{n-1}
    + \chi\ddc_t(\rho_t \om_t^{n-1}) + \rho_t \ddc(\chi\om_t^{n-1}) - \chi\rho_t\ddc_t\om_t^{n-1}\rt)\\
    &= 2 \iprod{\dd\rho_t}{\dd\chi}_{\om_t} + \rho_t P_t(\chi) - \rho_t\chi\frac{\ddc_t\om_t^n}{\om_t^n}.
\end{split}
\end{equation}
Obviously, $\rho_t P_t(\chi)$ and $\rho_t \chi \frac{\ddc_t\om_t^{n-1}}{\om_t^n}$ are uniformly bounded, so we only need to control the $L^2$-norm of the first term $\iprod{\dd\rho_t}{\dd\chi}_{\om_t}$:
\begin{equation*}
\begin{split}
    \int_{U_2} \abs{\iprod{\dd\rho_t}{\dd\chi}_{\om_t}}^2 \om_0^n
    &\leq C_{U_2}^2 \lt(\sup_{U_2} \abs{\dd\chi}^2_{\om_0}\rt) \int_{U_2} \abs{\dd\rho_t}_{\om_t}^2 \om_t^n\\
    &= C_{U_2}^2 \lt(\sup_{U_2} \abs{\dd\chi}^2_{\om_0}\rt) \int_{M_{U_2,t}} \abs{\dd\rho_t}_{\om_t}^2 \om_t^n\\
    &\leq C_{U_2}^2 \lt(\sup_{U_2} \abs{\dd\chi}^2_{\om_0}\rt) \int_{X_t} \abs{\dd\rho_t}^2_{\om_t} \om_t^n\\
    &\leq C_{U_2}^2 \lt(\sup_{U_2} \abs{\dd\chi}^2_{\om_0}\rt) \frac{nB}{2} \int_{X_t} \rho_t^2 \om_t^n.
\end{split}
\end{equation*}
Here the first line is by Cauchy--Schwarz inequality and (\ref{eq:loc met bound}).
The fourth line follows from an argument similar to the one used in (\ref{eq:g estimate 1}) (just replace $-p$ by $p$).
Since $1 \leq \rho_t \leq C_G$ and $\Vol_{\om_t}(X_t) \leq C_V$, we find a uniform bound of $\norm{P_t(\chi\rho_t)}_{L^2(U_2,\om_0)}$.
Hence, $\norm{\rho_t}_{L^2_2(U_1,\om_0)}$ is uniformly bounded by some uniform constant $C(U_1,U_2)$.

For higher order estimates, we apply higher order G\r{a}rding inequalities on the fixed domains $U_1 \Subset U_2 \Subset X_0^\reg$:
\[
    \norm{u}_{L^2_{s+2}(U_1,\om_0)} \leq C_{s, U_1, U_2}\lt( \norm{P_t u}_{L^2_s(U_2,\om_0)} + \norm{u}_{L^2(U_2,\om_0)} \rt)
\]
for all $u \in \CC^\infty_c(U_2)$.
Let $\CU = (U_i)_{i\in\BN}$ be a relatively compact exhaustion of $X_0^\reg$.
Differentiating (\ref{eq:Pt cut eq}) on both sides and using a bootstrapping argument, we obtain $\norm{\rho_t}_{L^2_s(U_1,\om_0)} < C(s,\CU)$ where $C(s,\CU)$ does not depend on $t$.
By Rellich's theorem, there exists a subsequence $(\rho_{t_j})_{j \in \BN}$ such that $\rho_{t_j}$ converges to $\rho$ in $\CC^k(\overline{U_1})$ for all $k\in \BN$ when $t_j \ra 0$.
Therefore $\ddc_0(\rho \om_0^{n-1}) = \lim_{j \ra + \infty} \ddc_{t_j} (\rho_{t_j} \om_{t_j}^{n-1}) = 0$ on $U_1$.
Using a diagonal argument, we can infer that there is a smooth function $\rho$ on $X_0^\reg$ which is bounded between $1$ and $C_G$, and satisfies $\ddc_0(\rho \om_0^{n-1}) = 0$ on $X_0^\reg$.
\end{proof}

\smallskip

\subsection{Proof of Theorem~\ref{bigthm:Gauduchon extention}}
In this subsection, we always assume that $X$ is an irreducible reduced compact complex space and $\om_\RG$ is a bounded Gauduchon metric on $X$.
Before proving the uniqueness result and extension property, we recall
the existence of cutoff functions with small $L^2$-gradients.
From a classical property in Riemannian geometry, these cutoff functions do exist on so-called \textit{parabolic} manifolds (see eg.~\cite{Glasner1983, EG1992}).
In our case, one can easily construct explicit cutoff functions by Hironaka's desingularization and $\log\log$-potentials (cf. \cite[Lemma 2.2]{Berndtsson2012} and \cite[Section 9]{Henri2013}):

\begin{lem}\label{lem:good cutoff}
Suppose that $(X,\om)$ is a compact hermitian variety.
There exists cutoff functions $(\chi_\vep)_{\vep > 0} \subset \CC^\infty_c(X^\reg)$ satisfying the following properties:
\begin{enumerate}
    \item $\chi_\vep$ is increasing to the characteristic function of $X^\reg$ when $\vep$ decreases to zero;
    \item $\int_X \abs{\ddc\chi_\vep \w \om^{n-1}} \ra 0$ when $\vep \ra 0$;
    \item $\int_X \dd\chi_\vep \w \dc\chi_\vep \w \om^{n-1} \ra 0$ when $\vep \ra 0$.
\end{enumerate}
\end{lem}

These functions allow us to perform integration by parts as on a compact manifold.
Then we shall argue that the desired results hold when $\vep$ tends to zero.
Now, we give a proof of Theorem~\ref{bigthm:Gauduchon extention}:

\begin{proof}[Proof of Theorem~\ref{bigthm:Gauduchon extention}]
We divide the proof in two parts.

\smallskip

\noindent {\bf Part 1. Uniqueness of singular Gauduchon metrics:}
Assume that $\om_\RG$ and $\om_\RG'$ are both bounded Gauduchon metrics in the same conformal class.
We write $\rho$ to be the bounded Gauduchon factor satisfying $\rho^{\frac{1}{n-1}} \om_\RG = \om_\RG'$.
Let $(\chi_\vep)_{\vep>0}$ be cutoff functions given in Lemma~\ref{lem:good cutoff}.
From Stokes formula and direct computations, we derive
\begin{equation}\label{eq:grad estimate}
    \int_{X^\reg} \chi_\vep |\dd \rho|^2_{\om_\RG} \om_\RG^n
    = \oh \int_{X^\reg} \rho^2 \ddc\chi_\vep \w \om_\RG^{n-1}.
\end{equation}
Indeed,
{\small
\begin{align*}
    \int_{X^\reg} \chi_\vep |\dd \rho|_{\om_\RG}^2 \om_\RG^{n-1}
    &= \int_{X^\reg} \chi_\vep \dd \rho \w \dc \rho \w \om_\RG^{n-1}
    = - \int_{X^\reg} \rho \dd \lt( \chi_\vep \dc \rho \w \om_\RG^{n-1} \rt)\\
    &= - \int_{X^\reg} \rho \lt( \dd \chi_\vep \w \dc \rho \w \om_\RG^{n-1} + \chi_\vep \ddc \rho \w \om_\RG^{n-1} - \chi_\vep \dc \rho \w \dd \om_\RG^{n-1}\rt)\\
    &= -\oh \int_{X^\reg} \dd \rho^2 \w \dc \chi_\vep \w \om_\RG^{n-1} + \int_{X^\reg} \rho \chi_\vep \dd \rho \w \dc \om_\RG^{n-1}\\
    &= \oh \int_{X^\reg} \rho^2 \dd \lt( \dc \chi_\vep \w \om_\RG^{n-1}\rt)
    - \oh \int_{X^\reg} \rho^2 \dd\lt(\chi_\vep \dc\om_\RG^{n-1}\rt)\\
    &= \oh \int_{X^\reg} \rho^2 \ddc \chi_\vep \w \om_\RG^{n-1}
    - \oh \int_{X^\reg} \rho^2 \dc \chi_\vep \w \dd \om_\RG^{n-1}
    - \oh \int_{X^\reg} \rho^2 \dd \chi_\vep \w \dc \om_\RG^{n-1}\\
    &= \oh \int_{X^\reg} \rho^2 \ddc \chi_\vep \w \om_\RG^{n-1}.
\end{align*}
}
By Lemma~\ref{lem:good cutoff} and the boundedness of $\om_\RG$, we can see that $\int_{X} |\ddc \chi_\vep \w \om_G^{n-1}|$ converges to zero when $\vep$ tends to zero.
Since $\rho$ is bounded, the RHS of (\ref{eq:grad estimate}) goes to zero and hence
\[
    \int_{X^\reg} |\dd \rho|^2_{\om_\RG} \om_\RG^n = 0.
\]
Because $X^\reg$ is connected by the irreducible assumption, $\rho$ is a constant.

\smallskip

\noindent {\bf Part 2. Extension to a pluriclosed current:}
We already have a smooth pluriclosed bounded positive $(n-1,n-1)$-form $\om_\RG^{n-1}$ on $X^\reg$.
Note that $\om_\RG^{n-1}$ can extend trivially as a bounded positive $(n-1,n-1)$-current $T$ on $X$.
If $\om_G^{n-1}$ is closed, so would be $T$ by Skoda--El Mir extension result \cite{Skoda1982, ElMir1984}.
Some results for plurisubharmonic currents do exist in the literature (see eg. \cite{AB1993, DEE2003}), but we could not find the one of interest for us here.
Therefore, we provide a quick proof.

Again, we are going to use good cutoff functions $(\chi_\vep)_{\vep > 0}$ in Lemma~\ref{lem:good cutoff} to prove that $T$ is pluriclosed in the sense of currents.
Fix a smooth function $f$ on $X$.
We need to show that
\[
    \iprod{f}{\ddc T} := \int_{X} \ddc f \w T = 0.
\]
Using the cutoff functions constructed in Lemma~\ref{lem:good cutoff}, we can write
\[
    \int_{X} \ddc f \w T
    = \underbrace{\int_{R_\vep} \chi_\vep \ddc f \w T}_{:= \RN{1}_\vep}
    + \underbrace{\int_{S_\vep} (1-\chi_\vep) \ddc f \w T}_{:=\RN{2}_\vep}
\]
where $R_\vep$ is a small open neighborhood of the closure of $\{\chi_\vep > 0\}$ contained in $X^\reg$ and similarly $S_\vep$ is a small neighborhood of the closure of $\{\chi_\vep < 1\}$.
According to Lemma~\ref{lem:good cutoff}, as $\vep \ra 0$, $R_\vep$ tends to $X^\reg$ and $S_\vep$ shrinks to $X^\sing$.
Therefore, $\RN{2}_\vep$ converges to zero when $\vep$ goes to zero.
We compute the term $\RN{1}_\vep$ by Stokes formula:
\begin{align*}
	\RN{1}_\vep
	&= \int_{R_\vep} f \ddc\lt( \chi_\vep \om_\RG^{n-1}\rt)
	= \int_{R_\vep} f \lt(\ddc \chi_\vep \w \om_\RG^{n-1} + 2 \dd \om_\RG^{n-1} \w \dc \chi_\vep\rt)\\
	&= -\underbrace{\int_{R_\vep} f \ddc \chi_\vep \w \om_\RG^{n-1}}_{:= \RN{3}_\vep}
	- 2 \underbrace{\int_{R_\vep} \dd f \w \dc \chi_\vep \w \om_\RG^{n-1}}_{:= \RN{4}_\vep}.
\end{align*}
By Cauchy--Schwarz inequality, the term $\RN{4}_\vep$ can be bounded by
\[
    |\RN{4}_\vep|
    \leq
    \underbrace{\int_{R_\vep} \mathds{1}_{\{\dd \chi_\vep \neq 0\}} \dd f \w \dc f \w \om_\RG^{n-1}}_{:= \RN{5}_\vep}
    + \underbrace{\int_{R_\vep} \dd\chi_\vep \w \dc\chi_\vep \w \om_\RG^{n-1}}_{:= \RN{6}_\vep}.
\]
Using the dominated convergence theorem, $\RN{5}_\vep$ converges to zero when $\vep$ goes to zero, because the set $\{\dd\chi_\vep \neq 0\}$ is contained in $S_\vep$ and $S_\vep$ shrinks to $X^\sing$.
Applying Lemma~\ref{lem:good cutoff}, $\RN{3}_\vep$ and $\RN{6}_\vep$ converge to zero as $\vep$ tending to zero.
These yield that $\RN{1}_\vep \ra 0$ as $\vep \ra 0$.
All in all, we have $\int_{X} \ddc f \w T = 0$ for all $f \in \CC^\infty(X)$; hence $\ddc T = 0$ in the sense of currents.
\end{proof}

\section*{Introduction}
\input{intro}

\begin{ackn}
The author is grateful to his thesis advisors Vincent~Guedj and Henri~Guenancia for their supports, suggestions and encouragements.
The author thanks Tat~Dat~T\^{o} for pointing out the reference \cite{ACS2017} and Tsung-Ju Lee for helpful comments.
The author would like to thank the anonymous referees for useful comments and suggestions.
This work has benefited from State aid managed by the ANR under the "PIA" program bearing the reference ANR-11-LABX-0040 (research project HERMETIC).
The author is also partially supported by the ANR project PARAPLUI and the EUR MINT project ANR-18-EURE-0023.
\end{ackn}

\section{Preliminaries}\label{sec:prelim}
\input{preliminary}

\section{Gauduchon metrics on smooth fibres}\label{sec:Gauduchon regular}
\input{Gbounded}

\section{Gauduchon current on the singular fibre}\label{sec:Gauduchon singular}
\input{Gcurrent}

\bibliographystyle{smfalpha}

\subsection{Metrics on singular spaces}
Let $X$ be a reduced complex analytic space of pure dimension $n \geq 1$.
We will denote by $X^\reg$ the complex manifold of regular points of $X$ and $X^\sing := X \setminus X^\reg$ the singular set of $X$.
Now, we give the definition of hermitian metrics on reduced complex analytic space $X$:

\smallskip

\begin{defn}\label{defn:metrics}
A hermitian metric $\om$ on $X$ is the data of a hermitian metric $\om$ on $X^\reg$ such that given any local embedding $X \xhookrightarrow[\mathrm{loc}.]{} \BC^N$, $\om$ extends smoothly to a hermitian metric on $\BC^N$.
\end{defn}

\begin{rmk}
The notion of smooth forms (and hermitian metrics) as above does not depend on the choice of local embeddings (see \cite[page 14]{Demailly1985}).
Hermitian metrics always exist: one can use local embeddings and then glue local data of hermitian metrics by a partition of unity.
\end{rmk}

\begin{comment}
\begin{rmk}
To see hermitian metrics in Definition~\ref{defn:metrics} always exist, we pick a covering $(U_\af)_\af$ of $X$ by open sets admitting an embedding $j_\af: U_\af \hookrightarrow \BC^N$ for some $N \geq n$.
We take the datum of hermitian metrics on open neighborhoods of $j_\af(U_\af) \subset \BC^N$ and glue local data by a partition of unity subordinated to $(U_\af)_\af$.
This yields a hermitian form $\om$ of $X$.
Equivalently, $\om$ is a genuine hermitian metric on $X^\reg$ such that up to refining the covering, $(j_\af)_\ast (\om|_{U_\af^\reg})$ is the restriction of a hermitian metric defined on $\BC^N$.
\end{rmk}
\end{comment}

\smallskip

Note that in Definition~\ref{defn:metrics} a hermitian metric on $X$ is more than just a metric on $X^\reg$.
Now, we define Gauduchon metrics in the following two different concepts:

\smallskip

\begin{defn}\label{defn:Gauduchon metrics}
We say that a hermitian metric $\om_\RG$ on $X^\reg$ is
\begin{enumerate}
    \item \textit{Gauduchon} if it satisfies $\ddc \om^{n-1}_\RG = 0$ on $X^\reg$;
    \item \textit{bounded Gauduchon metric} on $X$ if there exist a hermitian metric $\om$ and a positive bounded smooth function $\rho$ defined on $X^\reg$ such that $\om_\RG = \rho^{\frac{1}{n-1}} \om$ and $\ddc \om^{n-1}_\RG = 0$ on $X^\reg$.
\end{enumerate}
\end{defn}

\smallskip

We define the complex Laplacian and the norm of gradients with respect to $\om$ by
\begin{align*}
    \Dt_\om f &:= \tr_\om (\ddc f) = \frac{n \ddc f \w \om^{n-1}}{\om^n}\\
    \abs{\dd f}_\om^2 &:= \tr_\om(\dd f \w \dc f) = \frac{n \dd f \w \dc f \w \om^{n-1}}{\om^n}.
\end{align*}

\subsection{Currents on singular spaces}
Recall that smooth forms on $X$ are defined as restriction of smooth forms in local embeddings.
We denote by
\begin{itemize}
    \item $\mathcal{D}_{p,q}(X)$ the space of compactly supported smooth forms of bidegree $(p,q)$;
    \item $\mathcal{D}_{p,p}(X)_\BR$ the space of real smooth $(p,p)$-forms with compact support.
\end{itemize}
The notion of currents on $X$, $\mathcal{D}'_{p,q}(X)$ and $\mathcal{D}'_{p,p}(X)_\BR$, is defined by acting on compactly supported smooth forms on $X$.
The operators $\dd$, $\dc$ and $\ddc$ are well-defined by duality (see \cite{Demailly1985} for detail arguments).

\subsection{Example}
We give an example of a non-K\"ahler variety satisfying Setup~\ref{set:family setting} extracted from \cite{Lu_Tian_1994}.
The manifold $M = (\Gm_1 \times \Gm_2) \cap H \subset \BCP^3 \times \BCP^3$ is a simply connected Calabi--Yau threefold with $b_2 = 14$,
where
\begin{align*}
	\Gm_1 &= \{x_0^3 + x_1^3 + x_2^3 + x_3^3 = 0\} \subset \BCP^3,\\
	\Gm_2 &= \{y_0^3 + y_1^3 + y_2^3 + y_3^3 = 0\} \subset \BCP^3,\\
	H &= \{x_0 y_0 + x_1 y_1 + x_2 y_2 + x_3 y_3 = 0\} \subset \BCP^3 \times \BCP^3.
\end{align*}
There exists $15$ disjoint rational curves $\ell_1, \cdots, \ell_{15}$ with normal bundles $\CO_{\BCP^1}(-1)^{\oplus 2}$, $\ell_1, \cdots, \ell_{14}$ generate $H_2(M,\BZ)$, and there exists $a_j \neq 0$ for $j \in \{1,\cdots,15\}$ such that $\sum_{j=1}^{15} a_j [\ell_j] = 0$.
Then one can contract these curves and get a singular space $X_0$ with $15$ ordinary double points.
Moreover, there is a smoothing $\pi: \CX \ra \BD$ of $X_0$ such that for all $t\neq 0$, and $X_t$ is diffeomorphic to a connected sum of $\BS^3 \times \BS^3$.
This implies that $X_t$ does not admit a K\"ahler metric since $b_2(X_t) = 0$.
One can check that $X_0$ is not K\"ahler.

\subsection{Remarks on the family setting}
Under Setup~\ref{set:family setting}, the family of metrics $(\om_t)_{t}$ satisfies the following properties:
For all $t \in \overline{\BD}_{1/2}$, there is a constant $B \geq 0$ independent of $t$ such that
\begin{equation}\label{eq:family constant B}
    -B \om_t^n \leq \ddc_t \om_t^{n-1} \leq B \om_t^n
\end{equation}
where $\dc_t$ is the twisted exterior derivative with respect to the complex structure of $X_t$.
Indeed, in a local embedding, we have $-B\om^n \leq \ddc \om^{n-1} \leq B \om^n$ on $\CX$; hence (\ref{eq:family constant B}) is just the restriction on each fibre $X_t$.
On the other hand, the volume of $(X_t, \om_t)$ is comparable to the volume of $(X_0, \om_0)$ for all $t \in \overline{\BD}_{1/2}$.
Namely, we have a uniform constant $C_V \geq 1$ such that
\begin{equation}\label{eq:family constant C_V}
    C_V^{-1} \leq \Vol_{\om_t}(X_t) \leq C_V, \quad \forall t \in \overline{\BD}_{1/2}.
\end{equation}
The lower bound is obvious.
One can prove the upper bound by the continuity of the total mass of currents $(\om^n \w [X_t])_{t \in \overline{\BD}_{1/2}}$.
The proof goes as follows: the current of integration $[X_t]$ can be written as $\ddc \log|\pi - t|$ by the Poincar\'e--Lelong formula.
Since $|\pi - t|$ converges to $|\pi|$ uniformly when $t \ra 0$, $\log|\pi - t|$ converges to $\log|\pi|$ almost everywhere and thus $\log|\pi - t| \ra \log|\pi|$ in $L^1$ when $t \ra 0$ by Hartogs' lemma.
Therefore, $\om^n \w [X_t] \xrightarrow[t \ra 0]{} \om^n \w [X_0]$ in the sense of currents and this implies $\Vol_{\om_t}(X_t) \xrightarrow[t \ra 0]{} \Vol_{\om_0}(X_0)$.
Thus, using the compactness of $X_0$, we obtain a uniform upper bound $C_V$ of $\Vol_{\om_t}(X_t)$ for all $t \in \overline{\BD}_{1/2}$.

\smallskip

Finally, we give a remark on non-smoothable singularities:
The first non-smoothable example was given by Thom and reproduced by Hartshorne~\cite{Hartshorne1974}.
They considered a cone in $\BC^6$ over the Segre embedding of $\BCP^1 \times \BCP^2$ into $\BCP^5$ and they proved that the cone does not admit a smoothing because of a topological constraint.

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         weightDict.updateValue(textGram.text, forKey: "gram")
       weightArray.append(weightDict)

        let defaults = UserDefaults.standard

         defaults.set(weightArray,forKey: "savedWeightConversion")

        if let savedWeights = defaults.object(forKey: "savedWeightConversion"){
            weightArray = (savedWeights as! NSArray) as! [Any]
            print("value is",weightArray)
        }

    }

To view it on application load
override func viewDidAppear(_ animated: Bool) {
        let defaults = UserDefaults.standard
    let savedWeights = defaults.object(forKey: "savedWeightConversion") as? [String] ?? [String]()

    }

A: You can try
  if let savedWeights = UserDefaults.standard.object(forKey: "savedWeightConversion") as? [Any] {

        if let dic  = savedWeights[0] as? [String:Any] {

            if let ounce  = dic["ounce"] as? String {

               self.ounceLb.text = ounce

            }

            if let pound  = dic["pound"] as? String {

                self.poundLb.text = pound

            }

            if let gram  = dic["gram"] as? String {

                self.gramLb.text = gram

            }

        }

    }

A: try this
override func viewWillAppear(_ animated: Bool) {
    if let savedWeights = UserDefaults.standard.object(forKey: "savedWeightConversion") as? [Any] {
        for i in 0 ..< savedWeights.count{
            if let weightDict  = savedWeights[i] as? [String:Any] {
                print("\(weightDict["pound"] as! String) pounds= \(weightDict["ounce"] as! String) ounds =\(weightDict["gram"] as! String) grams")
            }
        }
    }
}

@IBAction func saveWeight(_ sender: Any) {

    if let savedWeights = UserDefaults.standard.object(forKey: "savedWeightConversion") as? [Any] {
        weightArray = savedWeights
    }
    weightDict = [:]
    weightDict.updateValue(textOunce.text, forKey: "ounce")
    weightDict.updateValue(textPound.text, forKey: "pound")
    weightDict.updateValue(textGram.text, forKey: "gram")
    weightArray.append(weightDict)

    let defaults = UserDefaults.standard

    defaults.set(weightArray,forKey: "savedWeightConversion")

    if let savedWeights = UserDefaults.standard.object(forKey: "savedWeightConversion") as? [Any] {
        for i in 0 ..< savedWeights.count{
            if let weightDict  = savedWeights[i] as? [String:Any] {
                print("\(weightDict["pound"] as! String) pounds= \(weightDict["ounce"] as! String) ounds =\(weightDict["gram"] as! String) grams")
            }
        }
    }

}


I received an A.B. in physics from the University of California in 1989, and a Ph.D. in astronomy and astrophysics from the University of Chicago in 1997. Prior to working at Carnegie Mellon, I was a scientific programmer for the Chandra X-ray Telescope mission, specializing in the development and integration of advanced data analysis methods. I have been at CMU since 2004, working closely with faculty and students at both CMU and Pitt on astronomical data analysis problems.
I work in the interdisciplinary area of astrostatistics. My interest is in developing and applying advanced data analysis methods to complex and/or high-dimensional astronomical datasets. I have worked on source detection algorithms, cosmic microwave background mapping, photometric redshift estimation, methods of quantifying galaxy morphology, etc. I have also advised or co-advised numerous astrostatistical analysis projects.


text:
Search and Seizure
Overview of topics relation to search and seizure
Authorization and probable cause
Seizure (Apprehension) of Persons
Seizure of Property
Automobile Exception
Consent Searches
Administrative Inspections
Emergency & Inventory Searches
Searches for Medical Purposes and School Searches
Exigent Circumstances
Searches Incident to Apprehension
Exclusionary rule and exceptions
Exception: Attenuation of Taint
Exception: Good Faith
Exception: Impeachment
Exception: Independent Source
Exception: Inevitable Discovery
Reasonable Expectation of Privacy (REP)
The Fourth Amendment in the Military
Motions, Burdens of Proof, and Standards of Review
The Fourth Amendment protects against unreasonable searches and seizures and requires warrants to be supported by probable cause. Although there is debate as to whether it applies to military members, military courts act as if it does. The Fourth Amendment, its requirements, and exceptions, are codified in military rules of evidence 311-317.
Text: "The right of the people to be secure in their persons, houses, papers, and effects, against unreasonable searches and seizures, shall not be violated, and no Warrants shall issue, but upon probable cause, supported by Oath or affirmation, and particularly describing the place to be searched, and the persons or things to be seized."
Overview of neutral and detached requirement:
The official issuing a search authorization must be neutral and detached. See Mil. R. Evid. 315(d). See also United States v. Ezell , 6 M.J. 307 (C.M.A. 1979) (discusses four separate cases where commanders' neutrality was attacked).
A commander is not neutral and detached when he or she: Initiates or orchestrates the investigation (has personal involvement with informants, dogs, and controlled buys); or, Conducts the search.
A commander may be neutral and detached even though he or she: Is present at the search; Has personal knowledge of the suspect's reputation; Makes public comments about crime in his or her command; or, Is aware of an on-going investigation.
"The participation of a commander in investigative activities in furtherance of command responsibilities, without more, does not require a per se disqualification of a commander from authorizing a search under M.R.E. 315." See U.S. v. Huntzinger , 69 M.J. 1, 6 (C.A.A.F. 2010).
Alternatives: Avoid any potential "neutral and detached" problems by seeking search authorization from:
A military magistrate; or,
The next higher commander.
Guide to articulating probable cause
Probable cause to authorize a search exists if there is a reasonable belief ,based on facts , that the person or evidence sought is at the place to be searched. Reasonable belief is more than mere suspicion. Witness or source should be asked three questions:
What is where and when? Get the facts!
Be specific: how much, size, color, etc.
Is it still there (or is information stale)?
If the witness saw a joint in barracks room two weeks ago, it is probably gone; the information is stale.
If the witness saw a large quantity of marijuana in barracks room one day ago, probably some is still there; the information is not stale.
How do you know? Which of these apply?
"I saw it there." Such personal observation is extremely reliable.
"He [the suspect] told me." Such an admission is reliable.
"His [the suspect's] roommate/wife/ friend told me." This is hearsay. Get details and call in source if possible.
"I heard it in the barracks." Such rumor is unreliable unless there are specific corroborating and verifying details.
Why should I believe you? Which of these apply?
Witness is a good, honest soldier; you know him from personal knowledge or by reputation or opinion of chain of command.
Witness has given reliable information before; he has a good track record (CID may have records).
Witness has no reason to lie.
Witness has truthful demeanor.
Witness made statement under oath. ("Do you swear or affirm that any information you give is true to the best of your knowledge, so help you God?")
Other information corroborates or verifies details.
Witness made admission against own interests.
The determination that probable cause exists must be based on facts, not only on the conclusion of others.
The determination should be a common sense appraisal of the totality of all the facts and circumstances presented.
Persons Who Can Authorize a Search. Mil. R. Evid. 315(d)
Overview of persons who can authorize a search. Mil. R. Evid. 315(d):
Any commander of the person or place to be searched ("king-of-the-turf" standard).
The unit commander can authorize searches of: (1) Barracks under his control; (2) Vehicles within the unit area; and (3) Off-post quarters of soldiers in the unit if the unit is overseas.
The installation commander can authorize searches of: (1) All of the above; (2) Installation areas such as: (a) On-post quarters; (b) Post Exchange (PX); and, (c) On-post recreation centers.
Delegation prohibited. Power to authorize searches is a function of command and may not be delegated to an executive officer. United States v. Kalscheur, 11 M.J. 378 (C.M.A. 1981)
Devolution authorized. United States v. Law, 17 M.J. 229 (C.M.A. 1983). An "acting commander" may authorize a search when commander is absent. See also United States v. Hall, 50 M.J. 247 (C.A.A.F. 1999). Commander may resume command at his discretion; no need not have written revocation of appointment of acting commander.
More than one commander may have control over the area to be searched. United States v. Mix, 35 M.J. 283 (C.M.A. 1992). Three commanders whose battalions used common dining facility each had sufficient control over the parking lot surrounding facility to authorize search there.
A military magistrate or military judge may authorize searches of all areas where a commander may authorize searches. See chapter 8, AR 27-10, Military Justice (3 Oct 2011), for information on the military magistrate program.
In the United States a state civilian judge may issue search warrants for off-post areas.
In the United States a federal civilian magistrate or judge may issue search warrants for:
Off-post areas for evidence related to federal crimes; and,
On-post areas.
Overseas a civilian judge may authorize a search of off-post areas.
Overview of reasonableness:
Even if based upon a warrant or authorization and probable cause, a search must be conducted in a reasonable manner.
Wilson v. Arkansas , 514 U.S. 927 (1995). The common law requirement that police officers "knock and announce" their presence is part of the reasonableness clause of the Fourth Amendment.
United States v. Banks , 540 U.S. 31 (2003). In a case involving easily disposable illegal drugs, police were justified in breaking through an apartment door after waiting 15-20 seconds following knocking and announcing their presence. This time was sufficient for the situation to ripen into an exigency.
Richards v. Wisconsin , 520 U.S. 385 (1997). Every no-knock warrant request by police must be evaluated on a case-by-case basis. Test for no-knock warrant is whether there is reasonable suspicion that evidence will be destroyed or there is danger to police by knocking.
United States v. Ramirez , 523 U.S. 65 (1998). Whether or not property is damaged during warrant execution, the same test applies — reasonable suspicion.
Hudson v. Michigan , 547 U.S. 586 (2006). Violation of the Fourth Amendment "knock and announce" rule, without more, will not result in suppression of evidence at trial.
Depending on the circumstances, law enforcement officials may "seize" and handcuff occupants of a residence while they execute a search warrant of that residence. Muehler v. Mena , 544 U.S. 93, 125 S.Ct. 1465 (2005).
L.A. County v. Rettele, 127 S.Ct. 1989 (2007). When officers execute a valid warrant and act in a reasonable manner to protect themselves from harm, however, the Fourth Amendment is not violated.
United States v. Osorio , 66 M.J. 632 (A.F. Ct. Crim. App. 2008). Forensic examination of a computer based on a search warrant must not exceed the scope of the warrant. Examiners must carefully analyze the terms of the warrant and adjust their examination methodology accordingly. Inevitable discovery did not apply to facts of this case.
Reasonableness and Media "Ride-Alongs." Violation of Fourth Amendment rights of homeowners for police to bring members of media or other third parties into homes during execution of warrants.
Wilson v. Layne, 526 U.S. 603 (1999).
Exceptions to authorization requirement
Explanation of exceptions to authorization requirement:
Not all searches require warrants or search authorizations, if there is probable cause that evidence is at a certain location. If there is probable cause that evidence will be destroyed, a law enforcement official may dispense with the warrant/authorization requirement. Searches of automobiles generally do not require warrants/authorizations.
Border Searches
Customs inspections.
Customs inspections are constitutional border searches.
United States v.Ramsey , 431 U.S. 606 (1977) (finding a longstanding right of sovereign to protect itself).
Customs inspections in the military.
Border searches for customs or immigration purposes may be conducted when authorized by Congress. Mil. R. Evid. 314(b); United States v. Williamson , 28 M.J. 511 (A.C.M.R. 1989). Military police customs inspector's warrantless search of household goods was reasonable since inspection was conducted pursuant to DOD Customs Regulations.
Gate searches overseas.
General rule. Installation commanders overseas may authorize searches of persons and property entering and exiting the installation to ensure security, military fitness, good order and discipline. Mil. R. Evid. 314(c). (1) Primary purpose test is applicable. (2) Subterfuge rule is inapplicable. United States v. Stringer, 37 M.J. 310 (C.M.A. 1993). Gate searches overseas are border searches; they need not be based on written authorization and broad discretion can be given to officials conducting the search.
Exceptions to Probable Cause Requirement
Overview of exceptions to probable cause requirement:
Many searches require neither probable cause nor a search warrant/authorization. If a person voluntarily consents to a search, no probable cause or warrant is needed. Searches incident to apprehension/arrest need no other probable cause than the underlying PC for the arrest/apprehension.
Certain brief detentions–called "stops"– require only "reasonable suspicion," and pat-down searches–called "frisks"–require only reasonable suspicion that the person is armed and dangerous. Inspections are technically not searches at all, but are rather administrative in nature, not criminal searches for evidence. A variety of inspections are not affected by Fourth Amendment requirements. Finally, emergency searches are also not affected by Fourth Amendment requirements

redpajama_set_name: RedPajamaCommonCrawl


Richard has it right on. Often that roller fails in these units. Was the same in C6 transmissions. but a little different with washers as I recall. Lube to that roller comes through the hub in the middle and often it gets damaged from towing with the wheels tu... Login to read more.


With a mission of saving lives and protecting property, marine firefighters represent a unique emergency response sector that has responsibility for the protection of ports, maritime assets and shoreside properties, which are critical to national supply chains and international trade. Unfortunately, marine and near-shore fires can be extremely dangerous to responders and can cause very expensive, debilitating recoveries that can hamper an entire region's ability to move cargo and continue business.
Sea Machines recognizes these risks and urges marine firefighters to consider the benefits of adding autonomous-command, remote-control workboats to their fleets. The company's SM300 and SM200 products can be installed aboard existing fleets and work hard on behalf of marine firefighting teams, in the following ways.
Adding the Sea Machines SM300 to fireboats increases the speed and effectiveness of fire responses in several ways. First, autonomous, remote-control workboats do not require an on-board crew. An unmanned fireboat can operate within a one-kilometer range from a mothership or land position, allowing crews to respond from a safe location. Remote-controlled, unmanned boats help safely distanced firefighters gain new, advantageous vantage points that often can't be accessed from land – a benefit key for fighting fires at shoreside oil and fuel storage facilities, airports, residential areas and other critical locations. Unmanned fireboats are also unimpacted by roadway traffic, as fire trucks can be, and oftentimes can arrive faster to near-shore sites to begin pumping water or suppression materials earlier. Unmanned marine assets can perform more aggressive maneuvers and can inch closer to hotspots than trucks can, helping to suppress or extinguish a fire faster.
When deployed with other assets, adding autonomous fireboats to fleets creates a force multiplier effect. While manned vessels are securing the fire perimeter or controlling secondary hazards, unmanned assets can access more volatile areas. For fire events located near shorelines, such as those occurring at ports and on jetties, unmanned marine assets can accelerate fire suppression by pumping water and foam into areas that are hard-to-reach from land. And because routes can be pre-programmed, an SM300-enabled fireboat can navigate a predictable path, such as tracking back and forth while spraying water or foam, offering a more reliable suppression strategy. Firefighting crews aboard motherships, where autonomous fireboats may be operated from, can also add unmanned aerial vehicles (UAVs) to their cache of tools to monitor fires from a bird's eye (or drone's) view, providing even more intelligence to crews. These combined efforts can reduce response times and increase effectiveness, compared to traditional methods.
Fires don't take breaks, so why should your incident response? SM300-enabled fireboats don't require stop-work periods for crew shift changes or reduced nighttime operations. When operators' boats are equipped with complimentary technology, such as FLIR thermal imaging systems, autonomous workboats can respond to fires 24/7, in nearly all sea states and conditions.
With SM300-enabled fireboats, the safety of fire crews is improved because there is no longer any need to unnecessarily expose people to common firefighting hazards, such as heat, smoke, toxic fumes, risk of explosion and more. Adding unmanned assets to a fleet allows responders to focus on safer, more impactful tasks, while an autonomous vessel takes the heat.
If you think unmanned fireboats are a thing of the future, think again. During the August 2018 Maritime Kulturdage event, in Korsør, Denmark, Sea Machines demonstrated the capabilities of its SM300 product aboard the world's first autonomous-command, remote-controlled fireboat, a 12-meter ProZero workboat owned by TUCO Marine. In addition to autonomy, TUCO's fireboat has also been fitted with remote-control fire-pump equipment, supplied by RK Brand & Teknik, that make operations even more efficient.
Then, in November 2018 during the 2018 International WorkBoat Show in New Orleans, Sea Machines proved the capability and reliability of its autonomous-command technology with a series of six live demonstrations that remote-commanded a workboat in Boston, more than 1,500 miles away. The workboat was also equipped with a fire monitor, which the New Orleans-based operator engaged over secure connection some 1,500 miles away.
Installing such remote-command equipment in conjunction with Sea Machines' technology allows operators to remotely control not only the boats, but also the on-board fire pumps, nozzles and more, for best-in-class firefighting.
It's clear that Sea Machines products increase the productivity, predictability, efficiency and safety of marine firefighting operations. The SM300 or SM200 can be added to fireboats as a retrofit or as part of new-build specifications, typically requiring only 10 components to install. Most vessels can be outfitted with a Sea Machines system in just a couple days. Even for small fleets, the system is surprisingly accessible, thanks to an affordable price point or flexible leasing options.
As the U.S. Coast Guard and other firefighting response agencies adopt "drone boat" technology for incidents, it's not a matter of if autonomous marine systems will become a vital part of marine fire responses, it's a matter of when. Sea Machines is proud to be charting the path for autonomous systems for the marine industry. If you're ready to modernize your marine firefighting operations, contact us today.


We met at the Tom's Thumb Trailhead for Friday's hike. A new hiker to our group, Marilyn, joined Bob, Amy, Janet, and me for a hike up to Tom's Thumb.
Below is a view of Tom's Thumb and the surrounding area in the early morning light.
We saw this cluster of rocks early on, through one of the easier stretches. I think the boulders in the picture below are on private land.
We saw a red-tailed hawk on the top of a rock, just as the trail started getting steep.
We got high enough to see a Juniper Tree.
The East End, the very top of Gardener's Wall, Glass Dome, Weaver's Needle, Tom's Thumb, and the Rist are all visible in this photo.
Marilyn, Amy, Janet, and Bob approach Tom's Thumb.
We hiked the Scenic Trail for last Friday's hike. When we were done with the Scenic Trail, Marilyn, Linda, Nancy, Janet, and I hiked another five miles, visiting the Tortoise enclosure and the wreck of the old Chevy along the way. Our total distance was around 9.5 miles.
Amy and I took this group photo in the wash just off of the Scenic Trail. (The Scenic Trail used to be routed through this wash.) From left to right are Amy, Nancy, Linda, Janet, Linda, Marilyn, and Kevin.
This is the saguaro that's at the intersection of the Wagner and Granite trails. The McDowell mountains are in the background.
This is the old Chevy in Stoneman Wash.
Friday's Hike started at the Wagner Trailhead. We hiked Wagner to Granite, Granite to the Bluff Trail Wash, the wash to Pemberton, Pemberton to Delsie, Delsie back to Granite, Granite to Wagner, and Wagner to the Trailhead. Total distance was 9.75 miles.
We encountered this wash on the Wagner Trail. This wash sometimes has deep sand in it. When I started mountain biking, I fell while crossing it at least once.
Jerry, Joe, Nancy, Sarge (in front), Bob, and Janet. Tom and Michelle hiked partway with us, but continued their hike on the Granite at the point where we turned into the wash.
A view of the McDowells from the Pemberton Trail.
Saguaros on the Delsie Trail.
We saw a tarantula while hiking back on the Delsie Trail. I took a lot of photos, but these were the only ones which were close to being in focus. Clearly, I need to work on my technique – I think I'm taking to long to frame the shot after acquiring focus. This works for static scenes, but not very well for moving subjects.
A mountain biker on the Delsie Trail.
Bob, the Frog is another creation of sculptor Randy Hand. It was donated by the Rotary Club of Fountain Hills, Randy & Mary Hand, Mary & Joe Cavinato, Jackie & Jerry Miles, Mardelle Willson, and by The Sunridge Foundation.
Sculptor Randy Hand created this piece, titled George, the Tortoise. It's located near the playground in the Fountain Park. The plaques affixed to a nearby wall show an impressive number of donors, many of whom are grandparents honoring their grandchildren.
This sculpture of an eagle, by Doug Hyde, is titled America. It was donated to the town of Fountain HIlls in 2012 by Jean and Rolland Lorenz.
Jason Napier created this sculpture, titled Precious Cargo, of a large cat carrying one of her kittens. It was donated in 2001 in memory of Corinne Miles by Jackie and Jerry Miles.
I had tried photographing this sculpture on at least three other occasions but, whether shooting at night or during the day, I kept getting an unacceptable amount of glare from the surface of the sculpture, which is polished and shiny. The color of the stone is really quite beautiful; I didn't want to settle for a shot that had a lot of glare in it. I finally employed some lighting techniques which made it possible to get this shot with minimal glare.
Friday's hike was somewhat over seven miles. We hiked the North Trail, the Chuparosa Trail, and part of the Pemberton (out to Cedar Tank).
One of the things we noticed on this hike is that we're starting to see fall colors in the ocotillo – many of the leaves had turned a golden yellow color.
We saw more flowers this week too!
Linda, Janet, and Nancy examine an unusual saguaro. Most saguaros do not have arms so close to the ground. We thought it interesting, too, that there's a fairly small arm near the ground.
We saw a rattlesnake sunning itself on the trail.
We saw a lone equestrian riding her horse on the 168th St Spur.
Yet another golden ocotillo with Four Peaks at the far right, in the background. An interesting saguaro on the North Trail.
I took these photos in June during our visit to the Moab area. The towers in the first few photos (and some of the later ones too) are the Courthouse Towers. I photographed them while walking the Park Avenue wash which is in Arches National Park.


text:
package bdglue2.publisher.cassandra;

/**
 * This class contains configuration constants used by the
 * Big Data Glue BigQuery Publisher, including property names and where appropriate
 * the default values to use in the event that a property
 * is not defined.
 *
 */
public final class CassandraPublisherPropertyValues {

    /**
     * Properties related to CassandraPublisher.
     */
    /**
     * The node in the Cassandra cluster to connect to.
     */
    public static final String CASSANDRA_CONNECT_NODE = "bdglue.cassandra.node";
    public static final String CASSANDRA_CONNECT_NODE_DEFAULT = "localhost";
    /**
     * The number of operations to batch together.
     */
    public static final String CASSANDRA_BATCH_SIZE = "bdglue.cassandra.batch-size";
    public static final String CASSANDRA_BATCH_SIZE_DEFAULT = "5";
    /**
     * The frequency to flush operations if the batch-size isn't reached.
     */
    public static final String CASSANDRA_FLUSH_FREQ = "bdglue.cassandra.flush-frequency";
    public static final String CASSANDRA_FLUSH_FREQ_DEFAULT = "500";
    /**
     * Boolean: True if we want to convert deletes and updates into inserts. Assumes that
     * inclusion of operation type and timestamp has been specified in the properties.
     */
    public static final String CASSANDRA_INSERT_ONLY = "bdglue.cassandra.insert-only";
    public static final String CASSANDRA_INSERT_ONLY_DEFAULT = "false";

    /*******************************************************************/
    /**
     * private to prevent explicit object creation
     */
    private CassandraPublisherPropertyValues() {
        super();
    }
}

redpajama_set_name: RedPajamaGithub


text:
What is the meaning of khanda
09.12.2019 09.12.2019 by Kenos
The Khanda (Punjabi: ਖੰਡਾ, khaṇḍā) is the symbol of the Sikh faith, that attained its current form around the first decade of the 20th century. It is an amalgam of. The Khanda is the symbol of the Sikhs, as the Cross is to Christians or the Star of David is to Jews. It reflects some of the fundamental concepts of Sikhism. The term Khanda may also refer to an emblem, or symbol recognized as the Sikh's coat of arms, or Khalsa Crest, and is called a Khanda because of the double-edged sword in the center of the insignia. The coat of arms emblem of the Sikhism Khanda always appears on the Nishan, the.
sikh religion emoji
The Insignia of the Khalsa: The Khanda (Punjabi: ਖੰਡਾ, khaṇḝĝ) is one of most important symbols of Sikhism. This is emphasized by the fact. Khanda definition, an Indian sword, having a broad, usually single-edged blade and a disklike pommel with a point. See more. A Beautiful individual but doesnt come out her shell much and is sexy as hell if u ever meet anyone named Khanda make her feel special and love her with all ur.
The Sikhism Khanda is the Sikh's coat of arms, or Khalsa Crest. Khanda refers to a double edged sword in the center of the emblem. Originally Answered: What is the meaning of Khanda which is a Sikh symbol? It ' universally' symbolizes divine knowledge. Also in Sikhism. Definition of Khanda in the noce77.com dictionary. Information and translations of Khanda in the most comprehensive dictionary definitions resource on the.
khanda png
The Khanda is the Sikh emblem. The Khanda consists of three objects: A Solid Circle. Two Interlocked Swords. One Double-edged Sword in the Centre. Since then, KHANDA became the SACRED & HOLY SYMBOL OF THE KHALSA. So in addition to the above meaning of the KHANDA, it also. Khanda definition: a double-edged sword that appears as the emblem on the Sikh flag and is used in the Amrit | Meaning, pronunciation, translations and. A prominent Sikh symbol, the Khanda symbolizes the fundamental tenets of the Sikh faith. It is made Ancient Symbols and their meanings. MENUMENU. The word 'Sikh' in the Punjabi language means 'disciple', Sikhs are the disciples of God who The symbol or emblem of Sikhism is known as the Khanda. The Khanda represents knowledge of divinity and the creative power of God. Surrounding the khanda is a circular quoit, called a Chakkar (or chakka), meaning. khanda definition: Noun (plural khandas) 1. A double-edged sword from India, used ceremonially in Sikhism. 2. A religious symbol of Sikhism, having the shape . The Khanda was introduced by the 17th century Sikh guru, Hargobind Ji. The circle The two-sided blade has symbolic meaning as well. From Punjabi ਖੰਡਾ (khaṇḍā), from a Prakrit form, from Sanskrit खड्ग .. B. W. Vilakazi (), "khanda", in Zulu-English Dictionary, →ISBN: "khanda ()". The Khanda (Punjabi: ਖੰਡਾ, khaṇḍā) is one of most important symbols of Sikhism different items used in a Khanda, which also have a symbolic meaning :[1].
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Welcome to the Amphoria website. This is the personal website of David Metcalfe and contains a number of sub-sites dealing with areas of interest to me. The sub-sites can be accessed from the menu above, the sidebar to the right, or from the headings below.
I have an interest in Prime Numbers and am a member of Riesel Prime Search (RPS). There is a list of Top-5000 prime numbers kept by Prof. Chris Caldwell and my Top-5000 prime entries are recorded here.
My main interest is in Riesel primes which are of the following form where k and n are positive integers.


text:
Wheel of Fortune Download | GameFabrique
Download Wheel of Fortune (Windows 3.x) – My Abandonware.Download Wheel of Fortune (Windows) – My Abandonware
If you have additional files to contribute or have the game in another language, please contact us! Download Wheel of Fortune Windows 3. MyAbandonware More than old games to download for free!
Browse By Year Platform Windows 3. Download MB. External links MobyGames. Captures and Snapshots Windows 3. Comments and reviews There is no comment nor review for this game at the moment. Multi Instance Sync. Replicate what you are doing on the main instance on all other instances. Level up faster, play more. Write and run a set of commands to automate repeated tasks. Trigger the command by assigning it to any key. Eco Mode Keep your PC running smoothly even with multiple instances.
Read Less Read More. Kingdom Maker. Dice With Buddies Social Game. Runner Match Adventure. Similar Games. Crossword Jam. Phase World Tour. Wheel of Fortune. More Word Apps View All. Word Trip. Since I have been living abroad for some odd 8 years now, even I was reaching for certain references.
It may frustrate the younger ones, unless they are really into these sorts of word puzzles. It's much like doing a cross-word puzzle, with very vague general clues like "person" or "same-name.
Well, Vanna has grown older over the years. Her figure isn't quite as emaciated as it used to be and her clothing is a bit more on the respectable side even if it's still that sequined Hollywood stuff that no one wears in real life. Wheel of Fortune gives me the same feeling I had backstage all those years ago, and at the same time is sort of like watching those last episodes of the Tonight Show just before Johnny Carson retired, a show in the twilight hours of its heyday.
Wheel of Fortune is certainly made for game-show fans, and if you really love game-shows and always wanted to be a part of that audience applause and the tension without really risking anything except a high-score than I can recommend this to you. The atmosphere is spot-on, the difficulty is there and the pressure to remain under time if you play timed. If you are not into TV Americana, however, I'd give this one a pass.
Although the puzzles are good, they are American specific and all that extra game-show trappings may just drive you crazy. Oh and that children's game-show that I was on? Well, they asked the audience if they had anything unusual with them during a break. I had something called a Flutaphone in my bag since I had come after school from music class. After the commercial, they asked while taping if people in the audience had these items they had written down, and we were supposed to pretend that we just happened to have them!
So, I had to produce the Flutaphone. It ended up with me as a contestant in a contest to chew crackers and whistle! I can't whistle unless I "blow-in" and nearly choked to death on stage. I'm sure they never aired that episode. SuperTomBrother -1 point.
How do you actually play this game? The game keeps looking for a disc in my disc drive, but it's obviously a downloaded game. HTF do i get this game to run!? Calincito 0 point. Share your gamer memories, help others to run the game or comment anything you'd like. If you have trouble to run Wheel of Fortune Windows , read the abandonware guide first! We may have multiple downloads for few games when different versions are available.
Also, we try to upload manuals and extra documentation when possible. If you have additional files to contribute or have the game in another language, please contact us! MyAbandonware More than old games to download for free! Browse By Developer Artech Digital Entertainment, Ltd. Download MB. Come on, give me the big money! Buy a Vowel The computer A. TV Americana Well, Vanna has grown older over the years.
Review By GamesDomain. Captures and Snapshots Windows. Write a comment Share your gamer memories, help others to run the game or comment anything you'd like. Send comment. Download Wheel of Fortune We may have multiple downloads for few games when different versions are available. Windows Version.
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Wheel of Fortune Deluxe () – PC Game
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But, for the most part her voice is pleasant and not too annoying. I mean it is a game-show and she has to do those, "Allllll riiight! You begin by receiving a word, sentence or phrase to solve and spinning that wheel with the money numbers listed on it, all the while hoping you don't land on "Loose A Turn" or "Bankrupt" wedges. With every 15 minute round, there is a special money amount added or a surprise wedge.
Go for a spin! When the spin is over, the letters are presented and you can select your letter guess as to what is in the phrase. If you are wrong, the turn is handed over.
If you are right you get cash for each letter in the phrase and can spin again, buy a vowel, or solve the phase! The audience is there too, just like I remembered. The game plays similarly to a Shockwave presentation. Letters are flying about, angles change, Vanna appears on a TV screen, or the Wheel while it spins. It's all quite flash. Three to four rounds are run in normal, 15 minute mode, and at the end the winner with the most cash goes on to select a secret prize in the Bonus Round.
You are then given a puzzle to solve and a few letters to begin with. You then select 3 consonants and a vowel and attempt to solve it to win the prize. Basically prizes equal a cash value at the end and are added to your score and used to total up your highscore. The strategy revolves around extending your turn as long as possible in order to rack up the cash without landing on an end of turn or bankrupt wedge and trying to figure out the phrase.
If you solve the phrase you keep the fantasy cash. Of course, if you add letters to a good portion of the puzzle but don't solve it and must hand over your turn, the next contestant in line benefits from your work. There is not a whole lot to it, other than being able to figure out phrasesor words with only a few letters.
Installation was a breeze. One thing that seemed a bit silly was the requirement to manually change your resolution to x, 16 bit. This should be an automated process, there is no reason I have to go to the control settings and change the screen resolution!
Also, the lack of multiplayer is very disappointing. The computer A. So, if you are playing better the computer contestant should too. I don't know if it's true, since it is hard for me to judge just exactly how well I'm doing. In the beginning of each round, my choices were hit and miss. Mostly miss. The puzzles are actually designed by the producers of the game and so are consistent and difficult. There are over in the game. Actually, if you are not American, you will have a great deal of trouble with the puzzles unless you are into American geography, heroes, literature, and trivia.
Although, I do have to say there was a British Film as one of the puzzles. A recent, hilarious well, I thought so comedy. But, I think it was entered into last years Oscars. The computer player does give some more of that game-show flavor. Since the human contestants don't speak, its pretty silent except for the audience and Vanna. With a computer contestant you get him chirping up each turn, "I think I'll spin, Vanna," or "I want to buy a vowel, an 'I', like in ice cream.
That is annoying. He also tends to help you along with doing only part of the answer, well a large chunk, and then loosing a turn regularly so you can get the jump on him. Playing with multiple human contestants is fun, although there is no multiplayer. You must sit at the same computer and switch seats. If you have kids it could be fun, but some of the questions are fairly obscure and may be difficult for youngsters.
Since I have been living abroad for some odd 8 years now, even I was reaching for certain references. It may frustrate the younger ones, unless they are really into these sorts of word puzzles.
They are all digitized and you can change their name which is kind of cool. You pick your character and then you try to win.
The presentation on offer here is… ok. I have played a more recent game based on Wheel of Fortune and I was amazed at how close to the show that was. Here, the presentation makes use of digitized characters, even Vana White! They look decent enough, but the rest of the game is very bland. It is all done in these windows which look like the default windows that were used on PCs in the mids. The characters do move, but one thing I find funny is that when Vana has to turn a letter over, they did not even animate her doing it.
She just walks past it and the letter turns. I just realized that not everyone reading this may know how to play Wheel of Fortune. The basics are you spin the wheel to hopefully land on a bug money amount. You then pick a constantan and you need to try and solve the puzzle.
You can guess, buy a vowel and do most of the other stuff that you see on TV. There are thousands of puzzles here so the chances of you getting the same one over and over again are very slim. You play against two other opponents. The AI is not bad, they get things right more than they get them wrong so they put up a decent enough challenge. The real fun of this game is playing it with other people. On the Sega CD, this is awesome as you just pass the controller around, sitting hunched around a monitor with the PC version is doable, but not as much fun in my opinion.
Are there better games based on Wheel of Fortune than this one? I would have to say that yes there are. However, to be fair, this was one of if not the first games based on the show that made use of digitized characters so that is cool. It may lack the flash of the games that followed it, but the actual gameplay does closely resemble the TV show.
Let me get this off my chest first: Where the heck is Pat Sajak? Sure Vanna White is a big part of the show, but Pat's the host for goodness' sake. How do you re-create the show without the man with the note cards in his hands? That said, Vanna does manage to do a nice job of pulling double duty as host and letter person.
Fairly quick loading full-motion video keeps the show's personality factor alive. Wheel of Fortune is moderately enjoyable as a one-player game, but you shouldn't even consider buying it unless you're going to play with friends. Hasbro has done a great job so far of translating board game experiences to the PlayStation and they can add TV game shows to that list too.
Wheel of Fortune has appeared on many previous systems, but this is by far the best one I've ever played. There are over 2, different puzzles, which makes for very little overlap, but I'd sure like to see an expansion-style disc that contained more puzzles and maybe Pat Sajak.
Come to think of it, I haven't watched the show for a while so maybe he's not on it anymore? Judging by the box art and in-game footage, Vanna looks a lot older than I remember too. If Hasbro is listening, please find Pat and get him some work. No Whammy, baby! This game is really tight and functional. I could see how cutting from the wheel to the puzzle to Vanna could be slow, but it's not. It clicks right along. Even Vanna's FMV stuff is smooth.
The graphics are nothing special but it really doesn't matter in light of the superior gameplay. I still don't like the idea of passing one controller around but it's no big deal. Multiplayer is great. This is truly a game that will entertain the whole family. What can I say? It's Wheel of Fortune. It's a practically perfect video game translation of the show you may have watched as a kid that only old people watch now.
Unlike with Hasbro Interactive's Jeopardy! This game, however, doesn't make as exciting a party game since only one player goes at a time. The Solo Mode no other contestants is a nice touch for you lonely types. Well, well, another month, another great game show conversion. Like Jeopardy! The presentation is very nicely done, and the game is just a lot of fun to play.
The Solo Mode is nice too, since it allows you to play a iP game without having to wait for stupid, slow computer opponents. Multitap support would've been nice, though. How much high-tech glamour does a video game conversion of the TV game show Wheel of Fortune need?
Very little, according to Hasbro Interactive. Wheel offers grainy digitized video, bare-bones graphics, muffled sound effects, choppy voices, and, best of all, very strange Dual Shock support for the spinning effect of the wheel.
Vanna White looks like she's being broadcast over a distant UHF channel, while the game's opening video might be streaming across a Commodore But somehow the gameplay captures the spirit of the show perfectly–even though Pat Sa-jak is a PlayStation no-show. With over puzzles and myriad prize variations, Wheel of Fortune's excitement can go on for hours–or until you scream, "Please, make it stop!
Fans of the Wheel, your game has arrived! Artech Studios and Hasbro have captured all the gameplay and excitement of the long-running hit TV show and brought it home through your Sony PlayStation! This version contains over 2, puzzles that were created by the actual writers of the original show. You can compete against human or computer opponents to win fantasy cash and prizes, with the game customized just the way you want it.
It is a lot of fun to play, and is as close as you can get to the real thing without actually being there. While this is one of the best video game duplications of a TV game show that I have ever seen, there is one major difference from the original: Pat Sajak is absent from the game and the lovely Vanna White has taken over the role as host. I really think Vanna does a great job here and would make an excellent replacement for Pat should he ever decide to move on to something else.
The game has most of the sights and sounds of the original, including the same music and sound of the wheel. The computer opponents even have personalities, and make human-like comments as they play against you. You can play with up to two other human opponents, yet you do not need to purchase a multi-tap adapter or additional controller; you just have to have two of the players sharing one of the controllers.
You have the choice of playing a normal game or a solo game, where you spin the wheel and play by yourself. The goal in the solo game is to play against the clock to win as much fantasy cash and prizes as you can before time runs out.
The standard game length is 15 minutes, but you also have the choice of playing a 10 or 20 minute game, or you can also pick between playing a game that consists of three, four or five rounds.


BACCO EXTENSIBLE TABLE, DESIGN BY ENRICO TONUCCI FOR TRIANGOLO.
Square or rectangular extensible table available in natural or stained oak wood. Legs carved from massive into helicoidal shape. Extension system in Reinaissance style.


The deployment reliability of the Astro-Mesh of a large satellite antenna is investigated. By contrasting the difference of movement principium, a mechanical analysis model is presented. Considering the effects of the randomness of dimensional errors and the space environment factors, the failure models of two performance functions are established by means of the random functional movement method and the second moment method. The corresponding computational expressions for reliability analysis are derived by using the first order second moment method. Furthermore, the theoretical basis and reference are provided for the deployment reliability of a large satellite antenna, and some useful conclusions are obtained.
This work was supported by the Department of Education Shaanxi Province, China, under Grant 2013JK1073.


Surgical procedures were once rather primitive things. Take Civil-War-era surgeries for example. These procedures were often bloody and painful affairs, with risks of infection and other harms being particularly high. A good portion of such surgeries resulted in fatalities.
The use of antiseptics in surgeries.
However, even with all of these developments and improvements, risks do remain when it comes to surgeries. Things can still go wrong during a surgical procedure. Also, there is still the possibility of a surgery resulting in an infection or other complications. These risks can be substantially increased when a surgeon acts negligently. So, having all these surgical advancements isn't enough by itself; surgeons making sure they are using the tools and methods they have available to them in a proper manner is a key part of keeping surgical patients as safe as possible.
As one can see, it remains the case that when surgeons make mistakes, patients can pay dearly. Skilled medical malpractice attorneys can provide guidance on compensation matters to patients here in Louisiana who have been harmed by a surgeon's negligence.


Rachel is one of those people who are naturally at ease in front of the camera. She came prepared for her high school portrait session in my Berkeley studio with a large selection of great clothes and hats. I love her style: a mix of steam punk, Victorian and 50's chic.
It is not too late for 2015 Seniors to schedule their in-studio or on-location photo shoot.
Rachel likes to mix formal lacy with boots and hats. And, she was willing to dance and goof around making for some playful shots. Thanks Rachel for the great session.