text:
11/18/2016 12:53 EST | Updated 11/22/2016 08:37 EST
$1.2-Trillion 'Wolfcamp' Discovery Means Canada's Oilsands Should Fear Texas
Biggest-ever shale oil discovery threatens Canadian oilsands' market share.
Daniel Tencer The Huffington Post Canada
Massive West Texas discovery presents a threat to oilsands
Trump may appoint policymakers unfriendly to Canadian oil
A pivot to Asia for Canadian oil?
The oilsands suddenly have a real reason to fear Texas.
The United States Geological Survey (USGS) announced this week that a massive deposit of shale oil had been discovered in west Texas, the largest such field yet found in the U.S.
Known as the Wolfcamp formation, it contains an estimated 20 billion barrels of oil and 16 billion cubic feet of natural gas.
The city of Midland, Texas, sits atop the Wolfcamp formation, the largest continuous shale oil deposit ever discovered in the U.S. (Photo: Getty Images)
The Dallas Morning News estimates that, at current prices, the oil alone is worth US$900 billion, or around C$1.22 trillion. But it's unlikely all of that oil could be extracted.
Wolfcamp is three times as large as the Bakken formation in North Dakota — a field so large it has been blamed for depressing Canadian oilsands prices.
Oilsands product sells at a "discount" compared to the benchmark North American price, in part due to difficulties transporting the oil to markets, and in part due to the explosion of oil production in the U.S., which briefly made the country the world's largest producer of oil. (It fell behind Russia and Saudi Arabia after oil prices crashed.)
There are already companies operating in the Wolfcamp formation, including ConocoPhillips and Pioneer.
"The [USGS] estimate is just a reflection of what a lot of the companies [drilling] out there already suspected," Federal Reserve Bank of Dallas economist Michael Plante told the Morning News.
The Permian Basin Petroleum Museum in Midland. The area has been a site of oil drilling since the 1920s, but the discovery of the Wolfcamp shale deposit could bring a whole new oil boom to the area. (Photo: Getty Images)
The possibility that an oil field three times as large as North Dakota's Bakken could one day be fully exploited presents a threat to the future of Alberta's oilsands, already struggling with low oil prices that have halted investment in new projects.
And while president-elect Donald Trump has promised to approve the Keystone XL pipeline, two of this three top candidates for the job of energy secretary are linked to the Bakken field, and may be unlikely to support building a pipeline to the competition.
One of those candidates — oil billionaire and Continental Resources CEO Harold Hamm — has repeatedly said that the Keystone XL pipeline is no longer relevant to the U.S., thanks to the development of the shale oil fields.
Canada's federal Liberal government seems to agree.
The Keystone XL pipeline is no longer crucial to Canada's plans, Natural Resources Minister Jim Carr told media this week.
"It doesn't get oil to export markets in Asia," he said.
Natural Resources Minister Jim Carr has said the Keystone XL pipeline is irrelevant to Canada because it doesn't get oil to Asian markets. (Photo: The Canadian Press)
That's one clear sign the Liberals have pivoted towards exports to Asia as the future of Canadian oil, and may be on the verge of approving Kinder Morgan's TransMountain pipeline expansion. That pipe would carry Canadian oil to a deepwater port near Vancouver.
Prime Minister Justin Trudeau's cabinet is set to make a decision on Kinder Morgan's TransMountain pipeline no later than Dec. 19.
But that pipeline is heavily opposed by many on Canada's west coast. Vancouver Mayor Gregor Robertson said this week "it will be ugly" if the Trudeau government approves the project.
CORRECTION: An earlier version of this article stated that the U.S. is the world's largest oil producer. In fact, it lost that rank in 2015.
Photo gallery The Oilsands In Winter See Gallery
The Oilsands In Winter
MORE: alberta oilsands business business video Canadian oil conocophillips harold hamm Keystone XL kinder morgan oilsands oilsands discount pioneer resources texas oil discovery transmountain wolfcamp
A Canadian Kid Made The Internet Cry With A Simple Act Of Kindness
SUBSCRIBE AND FOLLOW BUSINESS
SUBSCRIBE TO THE BUSINESS NEWSLETTER

redpajama_set_name: RedPajamaCommonCrawl


Apr 19, 2017 . Watch this video on our laboratory gravity seed separator 0.17m2 which is used to separate seeds on their specific weight. It is a very popular machine used .
Salter Cyclones' Multi Gravity Separators (Enhanced Gravity Separators) recover and upgrade heavy minerals that are otherwise lost to tailings. These separators are peerless for sub 100 micron fine materials. The technology is unique in that it enables recovery and selective concentration of ultra fine minerals at multiple.
Gravity Separator Machine Peanut & Groundnut Processing .
Akyurek Technology G.MAC 010 Gravity Separator machines for the perfect separation of products with a different weight, grading by specific weight of products with very slight differenced in size and/or weight, which cannot be sepparated by screening (width) or by indented cylinders (lenght). GRAVITY SEPARATOR.
Virtual inflow monitoring for a three phase gravity separator IEEE .
Therefore, an Extended Kalman Filter is designed, which can estimate the inflows and the split ratio based on a model of the dynamic system. The performance is shown in simulations, where the gravity separator's states are controlled by PI controllers. Published in: Control Technology and Applications (CCTA), 2017 IEEE.
Jun 10, 2016 . The separation of ultrafine coal is inefficient due to the low settling velocity in centrifugal field. The feasibility of increasing particle size by flocculation to increase the separation efficiency is verified. The effect of flocculant on the size distribution of ultrafine coal was tested. The effect of flocculant dose on.
Nov 26, 2011 . Akyurek Technology Gravity Separator https://akyurekltd /en/Seed Gravity Separator Machine 30s.html Bean Gravity Separation Egypt.
Akyurek Technology G MAC 010 Gravity Separator machines for the perfect separation of products with a different weight, grading by specific weight of products with very slight differenced in size and/or weight, which cannot be sepparated by screening (width) or by indented cylinders (length).
Voyager Gravity Sepa. Model: GVX 1020, GVX 1040, GVX 1050. Industry: Food, Seed and Grain; Purpose: Separating; Capacity: Large, Medium, Small; Technology: Smart. This is the top of the line Hi Cap gravity separator for lower capacity requirements. Oliver has the Voyager G. View More.
Oliver Technologies. for all fields We serve. Revolutionary improvements in our Gravity Separators; Remote monitoring of machines; Automation technology that achieves professional results. LEARN MORE.
Gravity Separator Manufacturers & Suppliers of Industrial Gravity .
Gravity separator. Type Linus. The larger model of the HAMATEC gravity separators is used in the food and non food sector as well as in the field of recycling. The model "Linus" is designed for medium and large capacities and is impressive by its compact shape, its high degree of separation and its simple handling.
The majority of separators in the oil and gas industry are gravity separator vessels. These have one thing in common; they all rely on the gravity force to achieve separation. By installing internals that ensures good flow distribution and enhanced separation in the gravity section, the gravity separator vessels will perform at.
Apr 15, 2015 . https://akyurekltd /en/Seed Gravity Separator Machine 30s.html For the grading by specific weight of products with very slight difference in size and/or w.
Gravity Separators Machine Supplier India . Forsberagritech .
Gravity Separators Machinery is manufactured for the efficient and high capacity separation of materials of differing granular densities. Forsberg Agritech Gravity Separators machinery manufacturer in India are available in Vacuum type for pollution free operation and Pressure Type for dust free material in Gujarat Company.
Gravity Separator machine is for separating products from impurities, products with very slight difference in sizes and were separated previously like (weak, damaged, lost moisture and discolored products) . With this cleaning process the quality is increased. Effective separation in sesame and cumin products. Barley is.
Gravity Separator G mid ex PETKUS Technologie GmbH Saatgut .
The controversial question, "what to do with the medium fraction?" no longer exists. The specially developed Mid Ex zone of the G 20 sorts precisely into heavy and light grains. The middle fraction is eliminated. The PETKUS Gravity Separator G 20 Mid Ex is equipped with all the standard technology that the entire PETKUS.
Salter Cyclones specialises in the removal of fine solids utilising hydrocyclones and multi gravity separation. Personnel have more than 150 years of collective worldwide expertise in the minerals processing industry. The equipment and technologies are all based on achieving powerful and precise separations in practical,.
Gravity separation is an industrial method of separating two components, either a suspension, or dry granular mixture where separating the components with gravity is sufficiently practical: i.e. the components of the mixture have different specific weight. All of the gravitational methods are common in the sense that they all.


The Truth About Gas Fireplace Surrounds Ideas Stone Surround Emiliesbeauty Com | Empire-sc gas fireplace surrounds ideas. ideas for gas fireplace surrounds. gas fireplace surround ideas.
Genuine Gas Fireplace Surrounds Ideas The Best Impressive Sleek Corner Surround. Special Gas Fireplace Surrounds Ideas Pinterest. Revolutionary Gas Fireplace Surrounds Ideas Mantels And FIREPLACE DESIGN IDEAS. Last Chance Gas Fireplace Surrounds Ideas Stunning Stone Surround Best Idea For Great. Perspective Gas Fireplace Surrounds Ideas Corner Mantels For Simple Surround Mantel. A Ordable Gas Fireplace Surrounds Ideas Imaginative Tile Surround SurriPui Net. The Truth About Gas Fireplace Surrounds Ideas Stone Surround Emiliesbeauty Com. Surging Gas Fireplace Surrounds Ideas Surround Kits Design Of Stone. Wanted Gas Fireplace Surrounds Ideas Hearth O2 Pilates. Useful Gas Fireplace Surrounds Ideas How To Build A Corner Mantel. Modest Gas Fireplace Surrounds Ideas Mantel For Elegant. Free Gas Fireplace Surrounds Ideas Surround SurriPui Net. Expert Gas Fireplace Surrounds Ideas Appealing For Surround Designs Best About House. Advice Gas Fireplace Surrounds Ideas Beautiful Mantels To Warm Your Home In The For Great. Fascinating Gas Fireplace Surrounds Ideas 41 Unique Surround Pic Great Home Decoration. Sampler Gas Fireplace Surrounds Ideas Stylish Mantels Pool. Strong Gas Fireplace Surrounds Ideas Beautiful White Mantel Panels Wood Burner With Tiled. Strange Gas Fireplace Surrounds Ideas Vent Free Natural Probably Outrageous Favorite. Strong Gas Fireplace Surrounds Ideas 22 Cheerful Surround Kayla. Colossal Gas Fireplace Surrounds Ideas Mantels Parson Co. Simplistic Gas Fireplace Surrounds Ideas Surround.


Rim rope : 12 mm.
Mesh rope : 3mm / 4.5 mm.
Color : Black / Green.
Available in various sizes. Can be made to desired specifications.
Rim rope : 16 mm / 24 mm.
Mesh rope : 12 mm / 18 mm.
Mesh : 300 mm / 200 mm.
The wooden ladder steps are heat treated.
Made of buoyant high impact safety orange impregnated elastomer.
The gangways feature aluminum construction and folding handrails for stowage ease. Gunwale clips secure the unit to the ship and rectangular punched grating provides a durable non - slip surface.
External folding stairway for access from ashore or from tender alongside.
Wharf ladders are made of the finest quality seawater resistant aluminium and are available in various standard sizes up to 20 meters.
This solid construction features heavy duty aluminium anti - slip floor and aluminium treads.
Wharf ladders are able to withstand pressures up to 225 kilograms per square meter.
Special dimensions can be made on request.


text:
\section{Introduction}
\label{Sec:Intro}

In this paper we address the problem of generating knots in $S^3$ with
high distance, in the sense of Hempel.
Without any restriction on the ambient manifold, knots with high
distance are easy to construct:
Hempel~\cite{Hempel01}, adapting an idea of
Kobayashi~\cite{Kobayashi88b}, constructs Heegaard splittings $(V,W)$
of arbitrarily high distance. Given such a splitting remove an
unknotted solid torus from, say, $V$ to obtain a compression body
$V_0$.  The result is a knot space in some manifold $M$ and clearly
the distance of the Heegaard splitting $(V_0,W)$ is at least the
distance of $(V,W)$.  See Section~\ref{Sec:Preliminaries} for
definitions.

The problem becomes more challenging if the ambient manifold $M$ is
specified beforehand.  The argument above fails if
$M$ does not admit any high distance splitting.  The case of
$S^3$ is of particular interest, and here we know \cite{Waldhausen68}
that every Heegaard
splitting is isotopic to a standard one.  The disk complexes
for a standard splitting have distance zero, and indeed an infinite-diameter
intersection. This makes finding an appropriate compression body more
difficult. Nevertheless, we prove:

\fakethm{Thm:HighDistanceKnots}{For any pair of integers $g > 1$ and
  $n > 0$ there is a knot $K \subset S^3$ and a genus $g$ splitting of
  its exterior $E(K)$ having distance greater than $n$.}

We can consider another measure of complexity of a knot: $K \subset M$
has a {\em $(g, b)$--decomposition} if $K$ may be isotoped to have
exactly $b$ bridges with respect to a genus $g$ Heegaard splitting of
$M$.  When $b = 0$ we further insist that $K$ be a {\em core} of one
of the handlebodies (see Remark~\ref{Rmk:g0}). The classical notion of
``bridge position'' corresponds to a $(0,b)$--decomposition.

Work of Scharlemann-Tomova \cite{ScharlemannTomova05} and Tomova
\cite{Tomova05,Tomova07} links these two notions of complexity. It implies
in particular that the existence of a $(g,b)$--decomposition gives
upper bounds on the distance of Heegaard splittings of genus greater
than $g$ (see Section~\ref{Sec:Decompositions} for details).  With
this we obtain the following consequence of
Theorem~\ref{Thm:HighDistanceKnots}:

\fakethm{Thm:GBKnots}{For any positive integers $t$ and $b$ there is a
knot $K \subset S^3$ with tunnel number $t$ so that $K$ has no
$(t, b)$--decomposition.}

This theorem answers question 1.9 of Kobayashi-Rieck \cite{KobayashiReick04b}.
Note that any knot $K$ with tunnel number $t $ (see
Section~\ref{Sec:Preliminaries}) has by definition a $(t+1,
0)$--decomposition. The corresponding splitting surface of $E(K)$
has minimal genus.

Previous constructions have yielded tunnel number $t$ knots without
$(t,1)$--decompositions (Moriah and
Rubinstein~\cite{MoriahRubinstein97}, Morimoto, Sakuma, and
Yokota~\cite{MSY96}, and Eudave-Mu\~noz~\cite{Eudave-Munoz02}).  The
knots described in~\cite{MoriahRubinstein97} have
$(t,2)$--decompositions.  The knots in~\cite{MSY96} are all tunnel
number one knots and have $(1,2)$--decompositions.  The knots
in~\cite{Eudave-Munoz02} are all tunnel number one and some are known
to be $(1,2)$ while the rest have unknown optimal
$(1,b)$--decomposition.

More recently Eudave-Mu\~noz \cite{Eudave-Munoz07} has exhibited tunnel number
one knots in $S^3$ which are not $(1,2)$.  His examples are either $(1,3)$ or
$(1,4)$ knots but exactly which is not yet known.

Johnson and Thompson have shown, in~\cite{JohnsonThompson06} (see also
Johnson~\cite{Johnson06}), that for arbitrarily large $n$ there are
tunnel number one knots which have no $(1,n)$--decomposition.  Their
proof also uses the Scharlemann-Tomova results to relate Heegaard
distance to bridge position. Constructing high distance
tunnel number one knots is
simplified by the
special properties of
disk complexes in genus 2 compression bodies -- see the discussion in
\S\ref{Sec:HighDistance}.

\subsection*{Further questions}

One is tempted to speculate that Theorem~\ref{Thm:HighDistanceKnots}
holds for any 3-manifold. We note however that our construction
fails for the standard Heegaard splitting of a connected sum of
$S^2\times S^1$'s, because the disk complexes on
both sides of that splitting are identical. A more plausible
conjecture is that, after stabilizing once or possibly twice, any
Heegaard splitting will admit a construction like the one we have
used.

\subsection*{Acknowledgements}
This work arose out of conversations between the authors at the
Workshop on Heegaard Splittings of $3$-Manifolds, held at the Technion
in Haifa (Israel), July of 2005.  Further work was done at Rutgers and
Yale University during February of 2006.  We wish to thank the
Technion, Rutgers, and Yale University for their hospitality.
This work was partially supported by NSF grants DMS-0504019
and DMS-0508971, and Grant No.~2002039 from the
US-Israel Binational Science Foundation (BSF).
It is in the public domain.

\section{Preliminaries}
\label{Sec:Preliminaries}

A {\em compression body} is a $3$-manifold $V$ obtained from a
surface $S$ cross an interval $[0,1]$ by attaching a finite number of
2-handles and 3-handles to $S\times\{0\}$.
The component $S\times\{1\}$ of the boundary will be denoted by
$\partial_{+}V$, and
$\partial V \setminus \partial_{+}V$ will be denoted by  $\partial_{-}V$.
The trivial cases
where $V$ is a handlebody or $V = S \times [0,1]$ are allowed.

A {\em Heegaard splitting} for a $3$-manifold $M$ is a decomposition
$M = V \cup_S W$ where $V, W$ are compression bodies so that $S =
\bdy_+ V = \bdy_+ W = V \cap W$.  The surface $S$ will be called the
{\em Heegaard surface} of the Heegaard splitting.

\subsection{Complexes}

Let $C_S$ be the 1-skeleton of Harvey's {\em complex of curves}
(see~\cite{Harvey81}). That is, given a closed connected orientable
surface $S$ of genus at least two, let ${\mathcal{C}}_S$ be the graph whose
vertices are isotopy classes of essential simple closed curves and
whose edges connect distinct vertices with disjoint representatives.
As usual, we only distinguish curves from their isotopy classes when
necessary.

We remark that ${\mathcal{C}}_S$ is connected.  Place a metric $d( \cdot,
\cdot)$ on ${\mathcal{C}}_S$ by setting the length of every edge to be one.
For subsets $X, Y \subset {\mathcal{C}}_S$ we define $d(X, Y) = \min \{ d(x,
y) {\bigmid} x \in X,~y \in Y \}$.

An essential curve $\alpha \subset S = \bdy_+ V$ is a {\it meridian}
of the compression body $V$ if $\alpha$ bounds an essential disk in
$V$.  Given a compression body $V$ so that $\partial_+V = S$, let
${\mathcal{D}}_V$ be the sub-complex of ${\mathcal{C}}_S$ spanned by meridians of $V$.
This is the one-skeleton of McCullough's {\em disk complex}
(see~\cite{McCullough91}).

Hempel~\cite{Hempel01} defined the {\em distance} of a
Heegaard splitting $V \cup_S W$ to be
$$d(V, W) = d({\mathcal{D}}_V, {\mathcal{D}}_W).$$

\subsection{Laminations}

We let ${\mathcal{PML}}(S)$ denote the space of projective measured laminations
on S. For a good reference on measured laminations see
Bonahon~\cite{Bonahon01}, Casson and Bleiler~\cite{CassonBleiler88},
or Hatcher~\cite{Hatcher88}.

We will need the following lemma due to Hempel~\cite{Hempel01}, who
generalized an argument of Kobayashi~\cite{Kobayashi88b}.

\begin{lemma}
\label{Lem:Hempel}
Suppose that $X, Y \subset {\mathcal{C}}_S$,  and let ${\overline{X}}$ and $ {\overline{Y}}$
denote their
closures in ${\mathcal{PML}}(S)$.  Let  $\Phi$ be a pseudo-Anosov map with stable and
unstable laminations $\lambda^\pm$.  Assume that $\lambda^- {\notin}~{\overline{Y}}$
and $\lambda^+ {\notin}~{\overline{X}}$.  Then $d(X, \Phi^n(Y)) \to \infty$ as $n
\to \infty$.
\qed
\end{lemma}

This statement is virtually identical to that of Theorem~2.4 in
Abrams-Schleimer~\cite{AbramsSchleimer02}, the only difference being
that $X=Y$ there. The same proof carries through.

\subsection{Pants, waves and seams}
Given a surface $S$ and an essential subsurface $Y\subset S$, a {\em
  wave} in $Y$ is a properly embedded arc in $Y$ not homotopic rel
  $\partial Y$   into $\partial Y$, and
with both ends incident to the same boundary component of $Y$ from the
  same side.

A {\em pair of pants} is a three-holed sphere.
A {\em pants decomposition} ${\mathcal{P}} = \{ \alpha_i \}$ of a surface $S$
is a maximal collection
of  essential simple closed curves which are disjoint and not
parallel; hence (we are assuming genus at least two) $\overline{S -
  {\mathcal{P}}}$ is a union of pairs of pants.

A {\em seam} in a pair
of pants is an essential properly embedded arc connecting
distinct boundary components.
Up to isotopy rel
boundary, a pair of pants has three distinct waves and three distinct
seams.

We say an essential curve or a lamination $\alpha\subset S$ {\em
  traverses} or {\em
  has} a wave (seam) with respect to $Y$  if $\alpha$ intersects $Y$
  minimally in its isotopy class and a component of $\alpha\cap
  Y$ is a wave (seam).

A standard outermost bigon argument proves the existence of waves
among meridians in a compression body:

\begin{lemma}
\label{Lem:Wave}
Let $V$ be a compression body and
let
${\mathcal{M}}$ be a maximal collection of non-parallel, disjoint
meridians on $S=\partial_+ V$.
If $\alpha$ is a meridian of $V$ then $\alpha$ is either parallel to a
component
of ${\mathcal{M}}$
or $\alpha$ has a wave with respect to one of the pants components of
$S\setminus {\mathcal{M}}$.
\qed
\end{lemma}

\noindent Let $V, S$ and ${\mathcal{M}}$ be as above, and let
$\overline{{\mathcal{D}}_V}$ denote closure in ${\mathcal{PML}}(S)$.
Here and in what follows, by a ``seam of a curve
system'' we mean a seam of a pants component of its complement.
We then have:

\begin{lemma}
\label{Cor:FullType}
No lamination $\lambda \in \overline{{\mathcal{D}}_V}$ traverses all seams of
${\mathcal{M}}$.
\end{lemma}

\begin{proof}
Suppose that $\{\beta_i\} \in {\mathcal{D}}_V$ is a sequence of meridians
converging to $\lambda \in {\mathcal{PML}}(S)$.  If $\lambda \in {\mathcal{M}}$ then
clearly $\lambda$ does not traverse all seams of
${\mathcal{M}}$.
By passing to a subsequence, we may assume that none of the $\beta_i$
lie in ${\mathcal{M}}$.  It follows from Lemma~\ref{Lem:Wave} that all
$\beta_i$ have a wave in some pants of $S \setminus {\mathcal{M}}$.  Passing
to subsequences again we may assume that all of the $\beta_i$ have the
same wave $w$ in the same pair of pants $Y$.

If $\lambda$ traversed all seams
of ${\mathcal{M}}$, then
for large enough index $i$ the curve
$\beta_{i}$ would also
traverse all these seams. Since one of
the seams of $Y$ intersects $w$ essentially it would follow that
$\beta_{i}$ self-intersects, a contradiction.
\end{proof}

\subsection{$(g,b)$--Decompositions}

Suppose ${\mathcal{A}} \subset V$ is a disjoint collection of properly
embedded arcs in a compression body $V$ where $\bdy {\mathcal{A}} \subset
\bdy_+ V$.  We say ${\mathcal{A}}$ is {\em unknotted } if ${\mathcal{A}}$ can be
properly isotoped, rel boundary, into $\bdy V$.

The following well-known generalization of bridge position is
due to Doll~\cite{Doll92}:
Suppose that $M = V \cup_S W$ and $K$ is a knot in $M$.  The knot $K$
is in {\em bridge position with respect to $S$} if $K$ is transverse
to $S$ and either
\begin{itemize}
\item[{\em (i)}] $K \cap S \neq \emptyset$, and both $K \cap V$ and $K
\cap W$ are unknotted, or
\item[{\em (ii)}] $K \cap S = \emptyset$,
$K \subset V$ (without loss of generality), and $V\setminus n(K)$ is a
  compression  body.
\end{itemize}
If $g = g(S)$ and $b = |K \cap S|/2$ then we say that $K$ admits a
  {\em $(g, b)$--decomposition}.

\begin{remark}\rm
Our definition of a $(g,0)$--decomposition
  is non-standard, due to the additional requirement on $V\setminus n(K)$. In
  particular this definition makes a $(g,0)$--decomposition equivalent
  to a Heegaard splitting of $E(K)$ of genus $g$.
\label{Rmk:g0}
\end{remark}

\subsection{Tunnel number}

Given a knot $K$ in a $3$-manifold $M$, a {\it tunnel system} for $K$
is a collection $\mathcal{T } = \{a_1, . . . , a_n\}$ of disjoint
arcs, properly embedded in $M\setminus K$,
such that $M \setminus n(\mathcal{T} \cup K)$ is a handlebody.
The {\em tunnel number} $t(K)$ of the knot is the minimal cardinality
$n$ of such a tunnel system.

We note that a knot with tunnel number $t$ has a $(t+1,0)$--decomposition, and
that $t+1$ is the minimal genus for which this is
possible.
Hence it becomes interesting to reduce the genus by one, and ask what
$(t,b)$--decompositions such a knot admits.

Of course, if $K$ has a $(g, b)$--decomposition then $K$ also has $(g,
b+1)$ and $(g+1, b)$--decompositions.  With a bit more care
one can check that any knot with a $(g, b)$--decomposition also has
a $(g+1, b-1)$--decomposition.
On the other hand, when going from a $(g,b)$ to a $(g-1,b')$--decomposition,
$b'$ may need to grow arbitarily. This follows from
Theorem~\ref{Thm:GBKnots} applied in the case $(g,b)=(t+1,0)$.

\section{High distance}
\label{Sec:HighDistance}

We now restate and prove our main theorem on high distance Heegaard
splittings for knots.

\begin{theorem}
\label{Thm:HighDistanceKnots}
For any pair of integers $g > 1$ and  $n > 0$ there is knot $K \subset S^3$
and a genus $g$ splitting $S \subset E(K)$ having  distance greater than $n$.
\end{theorem}

Consider  $S^3 = V \cup_S W$ with the standard genus $g$ Heegaard
splitting.  Let ${\mathcal{C}}_S$, ${\mathcal{D}}_V$, and ${\mathcal{D}}_W$ be the
corresponding curve and disk complexes.  Let $D \subset V$ be a disk
cutting $V$ into a solid torus $X$ and a handlebody $Y$ with genus
$g-1$.  Take $K_0$ to be the core of $X$.  Thus $V_0 = V - n(K_0)$ is
a compression body and $V_0 \cup W$ equals $E(K_0)$.

We must find a sequence of compression bodies $V_n \subset V$ each
homeomorphic to $V_0$ so that $\partial_+V_n = \partial V$ and
$$d({\mathcal{D}}_{V_n},{\mathcal{D}}_W) \rightarrow \infty$$ as $n \rightarrow
\infty$.  The  knots $K_n \subset S^3$ defined by the compression
bodies $V_n$ will satisfy the
conclusion of the theorem.

When $g=2$, which is the case treated by
Johnson~\cite{Johnson06}
and Johnson-Thompson~\cite{JohnsonThompson06},
$V_0$ has a unique non-separating disk and
all other disks may be isotoped to be disjoint from it (see
e.g.~Lemma~11 in~\cite{Johnson06}).  Hence $\diam({\mathcal{D}}_{V_0}) = 2$
and it suffices to find a sequence $V_n$ whose non-separating disks
get arbitrarily far from ${\mathcal{D}}_W$.  In the general case
$\diam({\mathcal{D}}_{V_0})=\infty$ so clearly a different construction is
needed.

To begin, set $\delta = \bdy D$.  As shown in Figure~\ref{Fig:PQ},
extend $\delta$ to a pants decomposition ${\mathcal{P}}$ whose curves
are all meridians of $V$.  Likewise,
choose a pants decomposition ${\mathcal{Q}}$ whose boundary curves are
meridians of $W$.  For later reference we denote by $Q_1,\ldots,Q_g$
the curves of ${\mathcal{Q}}$ (listed in increasing size) that cross $X$ in
the front of the picture. The parallel curves on the back of the
picture are denoted by
$Q'_2,\ldots,Q'_{g-1}$;
note that $Q_1$ and $Q_g$ are their own parallels. Let $Q_{g+1}$
denote the curve going around the second hole in the picture.

\realfig{PQ}{Fig:PQ}{The pants decompositions ${\mathcal{P}}$ of $V$ and
  ${\mathcal{Q}}$ of $W$. Each component $Q_i$ of ${\mathcal{Q}}$ (except the littlest and
  the biggest) has a symmetric ``partner'' $Q'_i$ on the underside of $V$.}

Set $S_0 = \bdy Y \cap S$.  This is the once-punctured genus $g - 1$
surface to the right of $\delta$. Let ${\mathcal{P}}_0 = {\mathcal{P}} \cap S_0$ be
the pair of pants decomposition of $S_0$ induced by ${\mathcal{P}}$ (note ${\mathcal{P}}_0$
includes $\delta$). The
important feature of our chosen decompositions is that the curves of
${\mathcal{P}}_0$ traverse every seam of ${\mathcal{Q}}$ which can be isotoped rel
${\mathcal{Q}}$ into $S_0$.

The construction of $V_n$ can be broken up as follows:

\subsection*{Step 1}

Find a meridian curve $a \in {\mathcal{D}}_V$ such that:
\begin{enumerate}
\item [$a1$:] $a$ traverses all seams of ${\mathcal{Q}}$.
\item [$a2$:] $a$ traverses all seams of ${\mathcal{P}}_0$.
\end{enumerate}

\subsection*{Step 2}

Use the curve $a$ to construct a pseudo-Anosov map $\Phi \from S \to
S$ which extends over $V$ and whose stable lamination $\lambda^+$ and
unstable lamination $\lambda^-$ satisfy:
\begin{enumerate}
\item [$\lambda1$:] $\lambda^+$ traverses all seams of ${\mathcal{Q}}$.
\item [$\lambda2$:] $\lambda^-$ traverses all seams of ${\mathcal{P}}_0$.
\end{enumerate}

\subsection*{Step 3}

Show that $d({\mathcal{D}}_W, \Phi^n({\mathcal{D}}_{V_0})) \to \infty$ as $n
\to \infty$.

\subsection*{Conclusion}

Since $\Phi$ extends over $V$,  we may define $V_n = \Phi^n(V_0)$
and $K_n = \Phi^n(K_0)\subset S^3$,
so that $(V_n, W)$ is a Heegaard splitting for  the knot exterior $E(K_n)$.
As desired in the conclusion of
the theorem we have:
$$d({\mathcal{D}}_{V_n},{\mathcal{D}}_W) \rightarrow \infty.$$

\subsection{Proof of Theorem~\ref{Thm:HighDistanceKnots}}

We now carry out the steps outlined above.

\subsection*{Step 1}

We will first find a useful curve $\gamma \subset S_0$.  We will then
use two copies of $\gamma$ and a band sum construction to build the
desired meridian $a$.  So
consider a train track $\tau$ adapted to ${\mathcal{P}}_0$ and depicted in
Figure~\ref{Fig:TrainTrack}.

\realfig{traintrack}{Fig:TrainTrack}{The train track in $S_0$.}

The train track has the following properties:
\begin{enumerate}
\item
$\tau$ contains ${\mathcal{P}}_0 \setminus\{ \delta\}$ and additional branches. These
branches traverse all seams of ${\mathcal{P}}_0$, with the exception of the two
seams incident to $\delta$.
\item
The entire picture is invariant under a $180^\circ$ rotation about the
horizontal line meeting $V$ in $g+1$ arcs.
\item The directions in which incident branches attach to each
  component of ${\mathcal{P}}_0\setminus\{\delta\}$ on the two sides are consistent, so that
  there is a train route spiraling around any component of ${\mathcal{P}}_0\setminus\{\delta\}$.
\end{enumerate}
Note that these conditions determine the track up to the choice of spiraling
direction.

Observe that
$\tau$ is a ``maximal standard train-track'' in $S_0$, in the sense of
Penner-Harer~\cite{PennerHarer92}. Hence, Theorem 3.1.2
of~\cite{PennerHarer92} tells us that positive measures on $\tau$,
modulo scaling, parameterize an open set in ${\mathcal{PML}}(S_0)$. This open set
contains a filling minimal lamination (e.g.~the stable lamination of a
pseudo-Anosov homeomorphism) since these are dense in ${\mathcal{PML}}(S_0)$.
Since simple closed curves are also dense in ${\mathcal{PML}}(S_0)$ we may
approximate this minimal lamination as well as we like by simple
closed curves carried on $\tau$. Hence there exists a simple closed
curve $\gamma$ carried on $\tau$,
traversing every branch at least twice.
Note that $\gamma$ has the following properties:
\begin{enumerate}
\item
It traverses every seam of ${\mathcal{P}}_0$, again excluding the two seams
incident to $\delta$.
\item
It traverses every seam of ${\mathcal{Q}}$ which is isotopic rel ${\mathcal{Q}}$ into $S_0$.
\end{enumerate}
These properties follow from the corresponding properties of $\tau$,
once we observe that
the intersections of $\tau$ with ${\mathcal{Q}}$ are essential, i.e. that
there are no bigons in their complement, and similarly that the
intersections of $\gamma$ with ${\mathcal{P}}_0 \setminus \{\delta\}$
are essential.

The curve $\gamma$ fails to traverse just four seams of
${\mathcal{Q}}$,
which we denote as follows:
Let $\sigma_{1,2}$ be the seam connecting $Q_1$ to $Q_2$, in the front of $V$.
Let $\sigma'_{1,2}$ be the seam connecting $Q_1$ to $Q'_2$, in the back of $V$.
There are two seams connecting $Q_1$ and $Q_{g+1}$: one in the front,
denoted $\sigma_{1,g+1}$, and one in the back
denoted $\sigma'_{1,g+1}$.

\realfig{bandsum2}{Fig:BandSum}{The meridian $a$ is constructed via an
  enlargement $\tau'$ of $\tau$. The figure shows the 2-holed torus $Z$.
   The added loops are labeled $l_1$ and $l_2$. }

To build the meridian $a$ we add two loops $l_1$ and $l_2$ to the
train track $\tau$
as shown in Figure~\ref{Fig:BandSum}.  Let $Z$ denote the 2-holed
torus obtained as the union along $\delta$ of the 1-holed torus in
$\partial X$
bounded by $\delta$
and the adjacent pair of pants of $S_0\setminus {\mathcal{P}}_0$.
Each loop begins inside one of
the switches of $\tau$ in $Z$, enters $X$, goes once around
the meridian disk, and then returns to the same switch.  We define an
integer measure on this new train track $\tau'$: Let $\mu$ be the
measure on $\tau$ that defines $\gamma$.  Hence $2\mu$ defines two
copies of $\gamma$.  Now subtract $2$ from the weight that $2\mu$ puts
on the branch $y$ of $\tau$ that connects the boundaries of $Z$,
and put a weight of $1$
on each of the new loops.  This measure on $\tau'$ defines $a$.
One can see that $a$ is a band sum of two copies of the meridian of
$X$ along a doubled arc of $\gamma$ -- hence it is a meridian of $V$.

Note that the intersection pattern of $\tau'$ with the curves
$Q_1,\ldots,Q_{g+1}$ and $Q'_2,\ldots,Q'_g$ has no bigons, and hence
all intersections shown are essential (the $Q'_i$ are not pictured,
but lie directly below the corresponding $Q_i$). One then checks that
$\tau'$ traverses all four seams that were previously excluded,
namely
$\sigma_{1,2}$,
$\sigma'_{1,2}$,
$\sigma_{1,g+1}$ and
$\sigma'_{1,g+1}$.
Similarly there are
no bigons in the intersection pattern with ${\mathcal{P}}_0$, and we see that
$\tau'$ traverses the two seams of ${\mathcal{P}}_0$ incident to $\delta$.
Since $a$ places positive measure on every branch of $\tau'$,
it traverses all the same seams, and so satisfies conditions
$(a1)$ and $(a2)$.

\subsection*{Step 2}

Choose two meridians $b, c \in {\mathcal{D}}_V$ so that $b$ and $c$ together
fill $S$. (For example:
realize $V$ as an $I$-bundle over a compact surface $F$ with exactly one
boundary component.  Let $e,f$ be
arcs in $F$ which are distance 3 or more in the arc complex of $F$ -- i.e.
there is no nontrivial arc or curve in $F$ disjoint from both $e$ and $f$ and isotopic to
neither. Then the $I$-bundles over $e$ and $f$
will be the desired disks, because
$e\cup f$ cuts $F$ into disks each of which meets $\partial F$ in a single interval.
See also Kobayashi \cite[proof of Lemma 2.2]{Kobayashi87}.)
Let $\tau_a$, $\tau_b$ and $\tau_c$ denote the Dehn twists about
$a$, $b$ and $c$ respectively. Set $$\Phi_0 = \tau_b \circ
\tau_c^{-1}.$$ It follows from Thurston's
construction~\cite{Thurston88} that $\Phi_0$ is pseudo-Anosov, with
stable/unstable laminations $\lambda_0^\pm$.
Since $\Phi_0$ is a composition of Dehn twists along meridian disks it
extends over $V$.  Define
$$\Phi_N = \tau_a^N \circ \Phi_0 \circ
\tau_a^{-N}.$$
Since $a$ is a meridian $\Phi_N$ also extends over $V$. The stable and
unstable laminations $\lambda_N^\pm$ of $\Phi_N$ are just
$\tau_a^N(\lambda_0^\pm)$.  Since $a$ intersects $\lambda_0^\pm$ (the
latter is filling), as $N \to
\infty$ the laminations $\lambda_N^\pm$ converge to $[a]$ in
$\mathcal{PML}(S)$.  Hence eventually both laminations satisfy
conditions $(a1)$ and $(a2)$.  Take $\Phi = \Phi_N$ for such a large
$N$ and take $\lambda^\pm = \lambda_N^\pm$.  Thus conditions $(\lambda
1)$ and $(\lambda 2)$ are satisfied.

\subsection*{Step 3}

Since conditions $(\lambda 1)$ and $(\lambda 2)$
hold, we can conclude via
Lemma~\ref{Cor:FullType} that $\lambda^- {\notin}~\overline{{\mathcal{D}}}_{V_0}$
and $\lambda^+ {\notin}~\overline{{\mathcal{D}}}_{W}$.
The fact that  $d({\mathcal{D}}_W, \Phi^n({\mathcal{D}}_{V_0})) \to \infty$
now follows from Lemma~\ref{Lem:Hempel}.  This completes the proof of
Theorem~\ref{Thm:HighDistanceKnots}.
\qed

\section{Ruling out simple decompositions}
\label{Sec:Decompositions}

In order to prove Theorem~\ref{Thm:GBKnots} we use a generalization by
Tomova~\cite{Tomova07} of a theorem of hers~\cite{Tomova05},
which is itself a considerable refinement of a theorem of Scharlemann
and Tomova~\cite{ScharlemannTomova05}.

\begin{theorem}
\label{Thm:Tomova}
Let $K \subset S^3$ be a knot and $S$ be a Heegaard splitting surface
of the exterior of $K$.  Suppose that $Q$ is Heegaard splitting
surface of $S^3$ so that
\begin{enumerate}
\item $K$ is in bridge position with respect to $Q$ and
\item the genus of $Q$ is less than the genus of $S$.
\end{enumerate}
Then the distance of the Heegaard splitting $S$ is at most $2 - \chi(Q
- K)$. \qed
\end{theorem}
\noindent
Condition (2) is actually stronger than necessary for Tomova's
result, but this version suffices for our needs.
We are now in position to prove Theorem~\ref{Thm:GBKnots}:

\begin{theorem}
\label{Thm:GBKnots}
For any positive integers $t$ and $b$ there is a
knot $K \subset S^3$ with tunnel number $t$ so that $K$ has no
$(t, b)$--decomposition.
\end{theorem}

\begin{proof}
Choose  a Heegaard splitting $S^3 = V \cup_S W$ of genus $t + 1$
and construct the knot $K \subset S^3$, as in
Theorem~\ref{Thm:HighDistanceKnots}, so that the associated splitting
$E(K) = V' \cup_S W$ has distance $d(V', W) > 2t + 2b$.

We claim that $K$ has no $(g,c)$--decomposition for any $g\le t$, $c\le
b$. For if it did, let $Q$ be the associated splitting surface of
$S^3$. The genus $g$ of $Q$ is less than that of $S$, so we may apply
Theorem~\ref{Thm:Tomova} to obtain
$d(V',W) \leq 2 - \chi(Q - K) = 2 - (2 - 2g - 2c) \le 2t + 2b$, a
contradiction.

Setting $c=0$ we also conclude that $E(K)$ has no splitting of genus
less than $t+1$, and hence that $K$ has tunnel number $t$.
\end{proof}

\input{biblio.tex}

redpajama_set_name: RedPajamaArXiv


Not too long ago, many of us thought that turning 60 meant retiring from a career, taking up a hobby, baby-sitting the grandchildren, and hoping for your health to hold out until you reached the golden years. Times are different now and the baby boomers are redefining this stage of life. It's common to see our older celebrities like Christie Brinkley walking around in a bikini on a beach perhaps suggesting that 60 is the new 40. Our favorite block buster stars like Sylvester Stallone, Arnold Schwarzenegger, and Harrison Ford are resuming old action hero roles. Rock legends like Journey and Santana are still touring the globe. A whole wave of people in their 60s, 70s, and beyond are certainly not ready to trade in their active and more youthful roles for walkers and wheelchairs.
Unfortunately, as we get older so do our feet. In fact, foot problems are often the first signs of aging. Ligaments, tendons, and muscles become weaker and thinner and less able to hold the joints in proper alignment. Joint cartilage wears down as bones move out of alignment resulting in toes that are no longer straight or parallel to one another; and feet become lumpy and bumpy. Arches tend to flatten and collapse. Fat pads in the bottom of the feet get thinner, losing their ability to absorb weight bearing loads and impacts. Skin loses its ability to effectively produce sweat and oil resulting in peeling, flaking, itchiness, discoloration, thickening, hardness, and cracks. Toenails become thicker, dryer, and discolored because of decreased blood flow to the toes, trauma, and nail fungus. Toes and feet become more crooked; and the shape, length and width changes.
People with predisposing factors such as obesity, peripheral neuropathy, flat feet, pronation or supination, osteoporosis, arthritis, and diabetes are even more likely to have foot problems with age.
Be more proactive and inspect your feet regularly. Look for a change in color, temperature, nail discoloration, cuts or cracks in the skin, scaling, peeling, or new growths.
Practice good hygiene. Wash and dry your feet regularly; exfoliate and moisturize dry flaky skin.
Trim your nails properly. Trim them straight across and not too short. Avoid cutting them on the sides or corners to prevent ingrown toenails and infection.
Wear the proper shoes for the activity you are engaged in and ones that accommodate the shape of your feet. Replace worn-out shoes and try not to wear the same shoes all the time.
Wear comfortable shoes instead of fashionable ones. Whenever possible, avoid wearing high heels, or at least reduce the height of the heel and frequency of use.
Wear shoes with a larger toe box if you have crooked toes, bunions, hammertoes, corns, or arthritis in your toes. A larger toe box will prevent your toes from pressing against the top of the shoe and reduce your chances of forming an open sore or ulcer.
Select stable shoes if you have weak ligaments and tendons, posterior tibial tendonitis (microtears on the tendon on the inside of the ankle), or pronation (inward/outward movement of the ankle/foot).
Don't buy shoes that are too tight. Shop at the end of the day when your feet are at their maximum size and measure your feet while standing.
Wear custom orthotics if you have pain in the ball or heel of your foot, or if you have weak arches.
Wear appropriate hosiery and socks if you have changes in circulation or other vascular diseases or diabetes. Avoid wearing nylon and rayon socks if you have dry flaky skin.
Consider laser treatment and new nail restoration products to get rid of toenail fungus and to avoid embarrassment.
Don't ignore any foot pain, especially if you have persistent pain that is limiting your mobility and lifestyle.
Exercise caution when doing self-treatment or using home remedies. Let a podiatrist treat your corns, calluses, and ingrown toenails to avoid infection and discomfort.
Don't be afraid to consult with your podiatrist about surgical options if you have structural deformities like bunions, crooked toes, hammertoes, bone spurs, or end stage arthritis.
It's critical to consult with your podiatrist if you have any predisposing conditions to avoid further complications as you age.
For those of you who are aspiring to feel 20 years younger than you are, become more aware of your feet and care for them properly. New advancements in medical products, therapies, and surgical options are available to address a wide range of foot and problems.


text:
Al Hayat For April 18 Has Interview
*Al-Hayat for April 18 has an interview with Grand Ayatollah Ali Sistani of Najaf. It says that Sistani "affirmed his rejection of any foreign power after the war to which the country had been subjected." His son Muhammad Rida Sistani conveyed from his father "his rejection of any foreign power that would rule Iraq, emphasizing that he himself would not interfere with the form of the national government that the Iraqi people choose to rule the land." He said that his father is still in seclusion in Najaf. The son said his father's conception of religious leadership was that it must soar above factions and parties. He denied that his father had been protected by US troops, saying there were local Shiite youth (i.e. the tribesmen) available for the purpose. He called for unity among all Muslims–Sunni and Shiite-and among all Iraqis. He said he read his father accounts of Shiites attacking Sunni mosques in mixed neighborhoods. Grand Ayatollah Sistani immediately denounced such acts as sinful and said they should be seen against his own framework of love for the Sunnis and giving donations for the building or rebuilding of their mosques. He said the Grand Ayatollah had regretted the loooting of libraries, and had said that "Iraqi is for the Iraqis. They must administer Iraq, and it is not for them to do so under any foreign power." He ended by saying it had been the custom of the clerics of early last century to go to battle alongside their children against the British occupation. From a quietist such as Sistani, that last statement is very ominous indeed.
*The US military has discovered a mass grave site with some 1500 bodies near Kirkuk. Since they are unmarked, it is not clear what went on there, but thousands of Kurdish young men were made to disappear by the Saddam regime. This could be only one of many mass grave sites.
*Al-Hayat also ran an extensive denial by Muqtada al-Sadr's spokesman that he was behind the killing of Abd al-Majid Khu'i and Haydar Rafi`i Kalidar last week. He said Muqtada is in his thirties, not 22 as the press had reported, and that he was surrounded by respected disciples of his father. Muqtada has sought a meeting with Grand Ayatollah Sistani. Press reports had said that Sadriyun or supporters of Muqtada had threatened Sistani last weekend unless he left Najaf within 48 hours. Muqtada is also said to have called the leadership meeting in Nasiriya a "failure." He said only 10 of 19 provinces were represented and that the delegates were mainly expatriates out of touch with Iraqi realities. He said he did not expect the US to invite him to future such meetings.


With the launch of China 1st batch of 20 pilot CSP projects and the FiT of RMB 1.15/kWh, China turns to be one of the most attractive CSP markets in the world.
After 1 year previous preparation and construction, the 1st batch of 20 pilot CSP projects are steadily progressing. Part of projects move slowly because of some problems like land, financing, official approval and project economics accounting.
Being a late starter in CSP industry, China is lack of experience in project bidding, design and construction. As a result, large-scale project commissioning and O&M will be major challenges for those projects which are expected to be completed soon next year.
China low labor and manufacturing cost and increasing input in core technology R&D facilitate cost reduction of global CSP industry.
Based on 5 GW CSP deployment target in the 13th Five-year plan, the 2nd batch CSP pilot project is expected to be initiated in the near term. Recently, some companies start the previous preparation for the next pilot projects. It's predicted that China CSP Industry will enter into another explosive development soon.
2018 will be a crucial year for China CSP prosperity and CSP Focus China 2018 to be held in Beijing between 22th and 23 th of March is glad to be the witness.
2018 is key to China CSP industry. It's necessary to summarize the current status of the 1st batch of 20 pilot CSP projects, experience and problems during the construction and prepare for the next batch of CSP projects.
•	In-depth policy analysis. Discover the 2nd batch demo projects deployment strategy and relevant supportive policy.
•	Cost reduction trend. Discuss reasons for cost dropping trend in recent years.
•	Technology upgrading & innovation. Excavate future CSP development direction and business opportunities.
•	Key components show. Exhibition of reliable equipment, components and services.


Flawless can be obtained through the 2nd Monthly Sign-In.
A pair of white elbow-length gloves. A white bow is attached on the top of the wrist.
Flawless is part of the hidden suit Star Yan.
The other parts of this suit are Sleek, Star Yarn, Butterfly Star, Plume of Star, and Star of Willing.


The fact is Americans are losing jobs to immigrants. In August/September roughly 30,000 Americans were laid off in the high tech sector. At the very same time high tech firms were lobbying congress to raise the limits on H1-B visas because they claim they don't have enough Americans to fill the needed positions. Furthermore, Americans have been steadily losing jobs in construction, light industry, food service, food processing and janitorial work. At the same time, immigrants, both legal and illegal, have been making steady employment gains in the same industries. Coincidence?


text:
package com.imaginea.castlight.beans;

public class Item {

	private Food itemName;

	private double itemPrice;

	public Food getItemName() {
		return itemName;
	}

	public void setItemName(Food itemName) {
		this.itemName = itemName;
	}

	public double getItemPrice() {
		return itemPrice;
	}

	public void setItemPrice(double itemPrice) {
		this.itemPrice = itemPrice;
	}
}

redpajama_set_name: RedPajamaGithub


text:
Q: Is it possible to upgrade log4j to 2.17+ when using Solr 4.6 We have this really old solr version using in production, recently we found a vulnerability in log4j 1.12.x so thats why we need to upgrade either the solr or log4j version. My questions is can we upgrade the log4j version from the solr 4.6.0 version? Currently solr 4.6 uses log4j 1.12 and in our app.
I tried upgrading the solr but this will takes a lot of time because our application code is really old

redpajama_set_name: RedPajamaStackExchange


The Iris/Hades (Aerosmith) prospects are is located in the Halten Terrace, some 200 kilometres offshore in the Norwegian Sea and adjacent to the producing Morvin and Åsgard fields, operated by licence partner Equinor.
The Hades and Iris prospects, previously known as Aerosmith and Zappa respectively, have been part of Faroe's portfolio for many years, forming the main part of a successful APA licence application made in 2009.
On 28 November 2017, the exploration well 6506/11-10 commenced targeting two formations: the Cretaceous Hades prospect and the Jurassic Iris prospect located directly underneath. In April 2018 it was announced that the well had been drilled to a total depth of 4,536 metres (MD). Preliminary results based on coring, wireline logs, fluid sampling and pressure data showed that the well had encountered gas/condensate bearing reservoir within both prospects.
In the Hades prospect, at a depth of 3,932 metres (MD), the well encountered c. 35 metres gross gas/condensate column within the Cretaceous Lange Formation of which 15 metres are net reservoir sandstones of moderate to good reservoir quality. Preliminary gross volumes of recoverable hydrocarbons for the Hades prospect were estimated to be 19-113 mmboe, ahead of pre-drill estimates.
In the Iris prospect, at a depth of 4,223 metres (MD), the well encountered a 218 metre, high net-to-gross sandstone interval, within the Jurassic Garn Formation, containing a 93 metre column of gas/condensate. Within the gas/condensate column, net reservoir has been estimated at 85 metres, consisting of sandstones of moderate to excellent reservoir quality. Pressure data indicated that the Hades and Iris prospects are separate hydrocarbon accumulations. Preliminary gross volumes of recoverable hydrocarbons for the Iris prospect were estimated to be 19-132 mmboe, ahead of pre-drill estimates.
The Iris and Hades discoveries are located approximately eight kilometres to the north of the producing Morvin Field and 20 kilometres to the northwest of the Åsgard Complex, where large quantities of gas and condensate continue to be produced and transported to several landing points on the European continent.
All data from the two discoveries is being assimilated and a follow up appraisal programme is being considered by the operator and partners.
The well was drilled by the Deepsea Bergen semi-submersible drilling rig. Licences PL 644 and PL 644 B are both operated by OMV (Norge) AS (30%), with partners Equinor Energy AS (40%)*, Faroe Petroleum Norge AS (20%) and Spirit Energy Norge AS (10%)*.


text:
Q: .NET/ISS Applications do not show jqwidget icons or any relative icons The icons will not show up because of the url. Going through the minified files and hard coding the url is not productive, nor does it work with updates.
Occasionally even hardcoding the URLs does not seem to work.
How do I tell .NET to simply use a relative url? This seems like a simple enough consistency that even a .html file written in notepad can do... but oh no... not wonderful Microsoft deployed web apps.
I have googled till I'm blue in the face and I'm not creating complex classes just to handle a font or icon. Well, it won't do any good if the url is in a minified file.
Can someone point me in the direction to a good resource to solve this annoying problem once and for all?


text:
Berkhedi Bazyaft is a village in the Bhopal district of Madhya Pradesh, India. It is located in the Huzur tehsil and the Phanda block.

Demographics

According to the 2011 census of India, Berkhedi Bazyaft has 184 households. The effective literacy rate (i.e. the literacy rate of population excluding children aged 6 and below) is 69.52%.

References

Villages in Huzur tehsil

redpajama_set_name: RedPajamaWikipedia


text:
Cool. Awkward. Black.
Edited by Karen Strong. Viking, $18.99 (336p) ISBN 978-0-593-52509-8
This fandom-focused, genre-spanning anthology edited by Strong (Eden's Everdark) is a love letter to geek culture, populated by Black teens who are unafraid to indulge in their interests, whether anime, cosplay, or LARPing, among others. In Amanda Joy's "The Panel Shows the Girl," a queer high schooler battles extreme loneliness until her anime drawings literally come to life. Roseanne A. Brown's "Wolf Tracks" follows Daniel Martins, who must contend with a family curse that turns him into a wolf—"claws, fangs, the whole nine yards"—upon falling in love. And in "The Hero's Journey" by Tochi Onyebuchi, a boy who uses his writing to sort through his own feelings struggles with a bout of writer's block. Featuring 18 authors, including Elise Bryant, Tracy Deonn, Kwame Mbalia, and Ibi Zoboi, these stories—several of which are open-ended, hinting at larger worlds—proudly foreground geek culture. Utilizing varying literary genres including fairy tales, fantasy, realistic contemporary, and science fiction, the creators deftly interrogate issues of racism, homophobia and transphobia, and intimate partner violence, and depict everyday joys and pains of varied Black experiences. Ages 12–up. (Jan.)
Genre: Children's
Featured Children's Reviews
How Do You Spell Unfair? MacNolia Cox and the National Spelling Bee
Carole Boston Weatherford
In this thoughtfully conceived picture book, Boston Weatherford centers MacNolia Cox (1923–1976), who achieved celebrity status in 1936 after becoming the first African American Continue reading »
The Fire of Stars: The Life and Brilliance of the Woman Who Discovered What Stars Are Made Of
Kirsten W Larson
English astronomer Cecilia Payne (1900–1979) shines in this homage, which unfolds as a dual narrative that maps Payne's life to a star's phases of formation. The figure's Continue reading »
Milloo's Mind: The Story of Maryam Faruqi, Trailblazer for Women's Education
Reem Faruqi
With euphonious prose, Faruqi commemorates the accomplishments of her grandmother, educator Maryam "Milloo" Faruqi (1920–2012), known for founding Happy Home Schools in Karachi, Continue reading »
The Moth Keeper
K O'Neill
O'Neill (Dewdrop) fashions a sparkling parable about coming into one's own abilities and learning to persevere through dark times in this inviting fantasy graphic novel. Continue reading »


Want a great home phone service provider in Sudbury, MA? Xfinity home phone service delivers more ways to connect with friends and family.
Once you make Comcast your home phone service provider, you'll enjoy high quality home phone service in Sudbury, exceptional call clarity, and more ways to connect and save. You can even get unlimited nationwide talk and text on your smartphone, plus enhanced calling features and Caller ID across all your devices, even your TV. It's your call, and Sudbury picks Xfinity!


Positive results of scientific research on a company's products can provide a tempting topic for advertising and promotion. If an article published in a well-established, peer-reviewed journal says that your company's products are safe, effective, healthy, or environmentally-friendly, why not communicate those findings to your customers in sales materials, or at a professional conference? Publicizing the results of scientific research in advertising or promotional material may enhance a company's reputation or increase product sales, but it is important to do so carefully, as competitors may take issue with the validity of the scientific research itself, or the way in which the results are characterized. A recent federal appellate decision in Eastman Chem. Co. v. PlastiPure, Inc., No. 13-51087, 2014 WL 7271384 (5th Cir. Dec. 22, 2014), demonstrates that the use of scientific research in advertising material can lead to liability for false advertising under the Lanham Act.
The court in Eastman upheld a jury verdict of false advertising arising from PlastiPure's distribution of a sales brochure that summarized scientific research about Eastman's plastic resin, while also finding that the publication of the underlying scientific research itself would be protected First Amendment activity.
Eastman and Plastipure are competitors in the sale of plastic resins used to manufacture water and baby bottles and other food containers. Eastman launched the sale of a plastic resin under the brand name Tritan as an alternative to polycarbonates containing bisphenol A (BPA), considered harmful to humans by causing estrogenic activity (EA). Eastman's own testing showed that Tritan did not exhibit EA. PlastiPure and its co-defendant CertiChem are affiliated companies founded by the same individual, a professor of neurobiology. PlastiPure manufactures its own plastic resin that it claims does not exhibit EA, and CertiChem tests material for various types of hormonal activity.
CertiChem authored an article in a peer-reviewed scientific journal named Environmental Health, published by the National Institutes of Health, summarizing the results of its testing of more than 500 commercially-available plastic products. Some of the products tested by CertiChem were made with Eastman's plastic resin, although the brand name Tritan was not mentioned in the journal article. Prior to publication of the article, PlastiPure distributed a sales brochure at a trade show and directly to customers entitled "EA-Free Plastic Products: Beyond BPA-Free." The brochure contained a chart derived from CertiChem's research that was subsequently published in the scientific journal. The chart in the sales brochure depicted products containing Eastman's resin – identified by the name Tritan -- as having significant levels of EA.
Eastman sued PlastiPure and CertiChem for false advertising and unfair competition under the federal Lanham Act and state common law. After a jury trial with battling experts, the jury found in favor of Eastman, holding the defendants liable for a willful violation of the Lanham Act. The district court entered an injunction prohibiting the defendants from further distribution of the sales brochure or from making any other statements about the EA activity of Eastman's Tritan plastic resin in connection with the sale, advertisement or promotion of PlastiPure's products. On appeal to the Fifth Circuit, PlastiPure and CertiChem argued that the injunction was improper because the allegedly false statements were "scientific opinions rather than ascertainable facts." The Fifth Circuit disagreed.
The Eastman court first stated a basic premise of federal false advertising law concerning facts vs. opinions: "Essential to any claim under section 43(a) of the Lanham Act is a determination of whether the challenged statement is one of fact – actionable under section 43(a) – or one of general opinion – not actionable under section 43(a)." Although statements made in academic literature directed to the scientific community may be considered scientific opinions, in this case, Eastman was not suing the defendants for publishing a scientific paper. Rather, Eastman challenged statements made by PlastiPure to customers in advertising and promotional material, outside of the full context of the actual journal article that would provide details about the data collected and conclusions drawn, the experimental methodology and potential conflicts of interest.
The Fifth Circuit found it notable that PlastiPure's sales brochure did not include the full article itself, as the brochure was distributed prior to the publication of the journal article. Moreover, the sales brochure did not "simply tout the article's finding." Rather, the brochure specifically highlighted the alleged EA content of Eastman's Tritan, even though the journal article never mentioned Tritan by name. The court concluded: "Advertisements do not become immune from Lanham Act scrutiny simply because their claims are open to scientific or public debate." Further determining that there was sufficient evidence upon which a jury could have found that the statements in PlastiPure's sales brochure were false, the court affirmed the jury verdict of false advertising by PlastiPure and CertiChem.
The Eastman court took pains to distinguish what could be considered a conflicting decision by the Second Circuit Court of Appeals in ONY, Inc. v. Cornerstone Therapeutics, Inc., 720 F.3d 490 (2d Cir. 2013). In that case, the plaintiff had sought to enjoin commercially harmful, allegedly false statements made by the defendants in a scientific journal about plaintiff's surfactants used to treat the lungs of premature infants. The journal article was the primary vehicle of dissemination of the allegedly false statements, but there was secondary distribution as well in the form of a press release and other promotional materials for the defendant's competitive products that cited the article's findings. The Second Circuit affirmed the grant of a motion to dismiss plaintiff's claims under the Lanham Act and for tortious interference under state law, holding that the allegedly false statements in scientific literature were protected from liability because they were "more closely akin to matters of opinion." The opinion in ONY has been criticized for giving insufficient attention to the dissemination of the allegedly flawed scientific research in marketing materials and for potentially creating an incentive for corporations to perform studies skewed towards finding favorable results in the hopes that a peer-reviewed publication will accept them, which could then in turn be used for advertising purposes. Recent Case, 127 Harv. L. Rev. 1815, 1819 (2014).
According to the Fifth Circuit in Eastman, even if the Second Circuit's decision in ONY was binding in the Fifth Circuit, ONY presented different circumstances because: (1) the plaintiff's cause of action in ONY against the "secondary" promotional use of the scientific research was only for tortious interference, not for false advertising; and (2) the secondary distribution was limited to the issuance of a press release summarizing the article's findings and the dissemination of the article itself. As the Fifth Circuit observed, there is an important distinction between merely presenting the conclusions of a scientific article – which is how it characterized the defendants' conduct in ONY -- and the defendants' actions in Eastman, transforming snippets of a scientific paper that never mentioned the plaintiff's Tritan product by name into a commercial advertisement claiming that Tritan is harmful.
• The use of scientific research for commercial marketing purposes may lead to liability for false advertising if the underlying research is found to be false or misleading.
• The risk of liability increases if a company cites only selected excerpts from published scientific research in advertising material, where the complete context of the research, including disclosures, qualifications or other explanations, is necessary for a full understanding of the conclusions drawn in the published research.
• While the 5th Circuit in Eastman attempted to reconcile its ruling with the Second Circuit's decision in Ony, subsequent decisions may find Eastman to be more persuasive, as it squarely addressed the issue of liability for false advertising under the Lanham Act arising from the use of scientific research for advertising and promotional purposes.


Millions are going to perish in 2015, says Stephen John. And, while this is going on, the dying world will be keeping an eye on professing Christians. What will they see? Will they see superficial, self-absorbed "Christians" having a hand in the spiritual demise of the lost, or will they see believers actually doing what they are supposed to do – pointing to the Truth, to the only One who can bring eternal life to those dying?


text:
Haroldo Grant (ur. ? – zm. ?) – argentyński piłkarz, grający podczas kariery na pozycji pomocnika.

Kariera klubowa
Haroldo Grant rozpoczął karierę w klubie Belgrano AC. Z Belgrano AC zdobył mistrzostwo Argentyny w 1908.

Kariera reprezentacyjna
W reprezentacji Argentyny Grant występował w latach 1907–1911. W reprezentacji zadebiutował 15 sierpnia 1907 w wygranym 2-1 meczu z Urugwajem, którego stawką była Copa Lipton.
W 1910 został powołany na pierwszą, jeszcze nieoficjalną edycję Mistrzostw Ameryki Południowej, który wówczas nazywał się Copa Centenario Revolución de Mayo 1910. Na turnieju w Buenos Aires Grant był rezerwowym i nie wystąpił w żadnym meczu. Ostatni raz w reprezentacji Brown wystąpił 15 sierpnia 1911 w przegranym 0-2 meczu z Urugwajem, którego stawką było C15 sierpnia. Ogółem w barwach albicelestes wystąpił w 6 meczach.

Przypisy

Bibliografia
 Profil
 Profil

Reprezentanci Argentyny w piłce nożnej
Piłkarze Belgrano AC
Urodzeni w XIX wieku
Zmarli w XX wieku


text:
The Gold Rush; silent comedy, USA, 1925; D: Charlie Chaplin, S: Charlie Chaplin, Mack Swain, Georgia Hale, Tom Murray
Alaska, 19th Century. Numerous adventurers are searching for gold in the mountains, among them even the Tramp who is surprised by a blizzard. He hides in a nearby barn where he meets the bandit Black Larson. There are soon joined by the clumsy Jim, who also searched for a place to rest. As days go by and the blizzard doesn't defer, the men become hungry and are forced to even eat shoes. Larson gets chosen to go get help, but he vanishes. Finally, the blizzard calms down and they manage to escape. The Tramp comes to a city where he falls in love with a girl called Georgia, although she leaves him alone on New Year's eve. Still, she later begs him to forgive her. Jim and the Tramp return to the barn and find gold, thus becoming rich.
Excellent silent comedy "The Gold Rush" is one of the most respected in Chaplin's opus, who once again proves that he can, besides gags, also create a very clever movie maker style even for feature length films, unlike his colleagues Laurel and Hardy whose films over 20 minutes become used out and run out of steam. The jokes served somewhere around the middle of the film, which play out in the city, are unfunny and slightly forced, but the ones in the barn are hilarious: the timeless genius of the "old" films can be best sensed in the classic scene where the Tramp eats his shoe or does the "dance" with two bread rolls. Another great, but more "unknown" gag involves the scene where Larson tries to throw the Tramp out of the barn, but the blizzard wind is so powerful that he can't even come close to the opened doors, and in another the barn gets dragged all the way to the edge of the cliff, thus tipping for 90 degrees while the men are still in it, whose perspective gets distorted, so the Tramp and Jim are forced to slowly crawl on the floor towards the exit before it crashes. The emotions are rather underplayed in the story this time around, but even the "colder" romantic subplot ends up being very good, making "The Gold Rush" a simple classic gold.
A Woman of Paris
Kukuli
Violence Jack: Evil Town
Adam's Rib
White Chicks
Leningrad Cowboys Go America
Woman in the Moon
Who's That Singing Over There?
Borat: Cultural Learnings of America for Make Bene...
The Blue Angel


text:
Pat Benatar T-Shirt Ladies
Pat Benatar Limited Edition T-Shirt Ladies
Pat Benatar Licensed Merchandise
Pat Benatar's polished mainstream pop/rock made her one of the more popular female vocalists of the early '80s. "Hit Me with Your Best Shot" reached the Top 10 in the US and Canada and is considered to be her best-known song. The single "Love Is a Battlefield" (1983) was her biggest hit in most countries. In 1984, Benatar released Tropico and its lead single "We Belong", which reached the Top 10 in several countries, including #5 on the US Hot 100. Pat Benatar was nominated for induction into the Rock and Roll Hall of Fame in 2020.
Pat Benatar T-Shirt Men's


During work experience Suzana Zaton provided comprehensive legal services for the public bodies and entrepreneurs. She specialize in a corporate law, commercial law and intellectual property law. She also has wide experience in public finance law, especially public procurement law and issues related to the state aid law. For many years, she has been a member of supervisory boards in a commercial companies, whose core business is commercialization of the research results and the new technologies. In 2014 she started Ph.D. studies at The Division of Competition Law and Sector-Specific Regulation at the Faculty of Law, Administration and Economics of the University of Wroclaw where she deals with the assessment tools that supports the knowledge-based economy in terms of the legal efficiency.


YAY! Grace Jones opened the Electronic Beats festival with an awe-inspiring concert last night in Cologne. Enjoy the photos and the motion graphics (by JORINNASTUDIO), and maybe you have the time to visit one of the others concerts – 2 more days of party in Cologne and 5 more city festivals in Europe this year!
Guillaume Wolf's second book "You Are A Message" is really worth having a look into it, and also getting a bit closer to Wolf's philosophy.
We had an amazing time shooting the Opener for Vantastisch on two days in an old fabric building at Paul-Lincke-Ufer in Berlin Kreuzberg in February. Especially the camera setup for the "matrix-effect" wiggle shots were fun to prepare. We placed 5 Canon 5D Cameras in a row and used a remote trigger, which worked actually quite well. Thanks again to the wonderful people at nickelodeon and every member of our team for making this happen!
today I want to introduce you to my latest project: JORINNASTUDIO.com JORINNA STUDIO GmbH is a boutique design studio and film production company build around my knowledge and experience having worked 12+ years as designer and director in the industry.


The Bedford Handcrafted Single Slat Back Solid Wood Dining Chair showcases the beauty and expert craftsmanship through its distinctive design and natural wood grain pattern of the solid Rosewood. The chair offers a comfy and breezy seating with its D shaped seat and single slat back. The slightly splayed legs add a lovely finesse to make it into a modern piece of furniture. Adjunct it with the dining table from the same Bedford collection for a striking dining table set.
Materials: This dining chair is beautifully handcrafted from solid Rosewood that provides it with great looks and exceptional durability to last a lifetime.


text:
March 15, 2018 / 8:56 PM
Vitamin D helps body get benefits of calcium
By Julie Davis, HealthDay News
THURSDAY, March 15, 2018 -- Your need for calcium gets a lot of attention, but your body can't use it without its partner, vitamin D, according to the American Academy of Orthopaedic Surgeons.
Most adults need 1,000 milligrams of calcium each day. Recommendations for vitamin D range from the current recommended daily allowance of 600 International Units (IUs), all the way up to 4,000 IUs to best support bone health.
Adding key foods to your diet will help you get both these nutrients, which can take extra effort if you're limiting calories to lose weight. Start with salmon, sardines and tuna, fatty types of fish that have both calcium and vitamin D.
RELATED Calcium supplements linked to increased risk for colon polyps: Study
For other foods high in calcium, opt for more low-fat milk and yogurt, broccoli, kale, bok choy and other green leafy vegetables.
Vitamin D is added to milk, but it isn't found naturally in many foods other than egg yolks and shiitake mushrooms -- a great vegetable for making low-cal dishes.
Your body can make vitamin D from sun exposure, but that requires a careful approach to avoid increasing skin cancer risk. It's also hard to get enough rays during winter months and in some parts of the country. Talk to your health care provider to find out what's right for you.
Many foods are now fortified with vitamin D, calcium or both. A great option is unsweetened almond milk. Some brands deliver half your daily calcium and a quarter of your vitamin D needs in a 30-calorie, 8-ounce glass.
Always read nutrition labels because the amounts of these nutrients vary by product and by brand. The calcium content of a food must always be listed in the nutrient panel, but you're likely to see the vitamin D content only on foods that are fortified with it.
The American Academy of Orthopaedic Surgeons has more on daily requirements of calcium and vitamin D for different age groups and life stages.
Parkinson's disease risk may increase with excess calcium in brain cells Soy most nutritional plant-based milk, study says
Health News // 1 hour ago
Jan. 31 (UPI) -- A new study shows there are seven long-term health symptoms that are directly related to long-COVID-19, giving researchers a better understanding of how the virus that causes COVID-19 may mutate or evolve.
Health News // 5 hours ago
FTC: Cigarette sales in domestic market fall as tobacco advertising rises
Jan. 31 (UPI) -- The number of tobacco products sold in the U.S. market is off its peak, though recent data show menthol cigarettes are increasingly popular and smoking among kids is on the rise.
Study casts doubt on bonding power of oxytocin
The "love hormone" oxytocin might not play the critical role in forming social bonds that scientists have long believed, a new animal study suggests.
Fewer expectant mothers are smoking during pregnancy
There's good news for American mothers-to-be and their newborns: Rates of smoking during pregnancy have fallen by 36% since 2016, a new report finds.
Pain intensity may be higher among people with autism
People who have autism feel pain at a higher intensity than others, which is the opposite of what many believe to be true, new research suggests.
Health News // 14 hours ago
Many adults with epilepsy have fear of public spaces
Many adults with epilepsy have agoraphobia, or a fear of public places, new research suggests.
Health News // 1 day ago
Deadly tuberculosis strain resistant to approved antibiotics
New drugs may be needed to fight the deadliest form of tuberculosis, because it may no longer respond to current treatments.
Many older Americans may be addicted to highly processed foods
It may be that as many as 13% of older adults are addicted to highly processed comfort foods, a new survey finds.
Treatment for gum disease may not benefit heavy smokers
Treatments for gum disease may have little benefit for heavy smokers, new research shows.
Kids fight off COVID-19 quickly but don't develop adaptive immunity
Children's amped-up immune systems allow them to beat back COVID-19 easily, producing a strong initial response that quickly slaps away the virus. But there might be a price to be paid for that sharp reaction.


Why did the denialist cross the road? It was just a natural cycle.
I need some help cracking jokes about climate change denialists.
I'm going to be presenting at a talk on "Dealing with Denialism". I get climate change, someone else is doing creationism, and someone else is doing vaccination. Should be awesomefabulous. Seriously needs some jokes, this sort of topic.
· 7.30 am. Read The Australian over breakfast. Make a note to thank the editor for publishing my comments ahead of qualified climate scientists in the lead article.
See, you'll notice that those things aren't terribly funny. I need help. Not stuck on the day in a life of idea, expand on that maybe, or other jokes too... what pisstake ideas have you got?
If you are able to show powerpoint or something similar, I have always found this to be an effective cartoon.
Not sure about jokes, but for easy to understand science which helps combat denial there is an iOS App called Skeptical Science which is free from the Apple Appstore, and might help you with info to base jokes on.
This is a magnificent collection of lazy political cartoonists' one-note global warming denial joke.
I really liked this comment, from a recent thread about the May 21 Rapture. I wonder if you could use that as an intro.


text:
Kings beat Trail Blazers 115-107 despite 35 from Lillard
Updated 12:53 AM EST Jan 15, 2019
SACRAMENTO, Calif. (AP) — De'Aaron Fox scored 16 points and made a key 3-pointer with 1:30 remaining, and the Sacramento Kings beat the Portland Trail Blazers 115-107 on Monday night.
Fox also had nine assists, Buddy Hield scored 19 points and Marvin Bagley III added 13 points and 11 rebounds. Sacramento has won three straight and four of five.
Damian Lillard scored 35 points to become the fastest player in Portland history to reach 12,000 for his career. Jusuf Nurkic had 13 points and 11 rebounds. CJ McCollum scored six points on 2-of-14 shooting.
The Trail Blazers, playing the second half of a back-to-back, have lost two straight since winning four in a row.
Sacramento got out to an early lead, held Portland to 17 points in the second quarter and then held off the Trail Blazers down the stretch.
After Lillard's 17-foot jumper cut the Kings' lead to 109-103 with 1:47 remaining, Fox came back down the court and calmly drained his only 3 of the night.
Bagley made a free throw and Willie Cauley-Stein added an emphatic dunk that brought the crowd to its feet.
Portland struggled offensively across the board, particularly McCollum, who didn't make a shot after halftime.
Lillard reached 12,000 points in the third quarter of his 514th game. Hall of Famer Clyde Drexler had been the fastest Trail Blazers player to reach the mark, in his 587th game.
Trail Blazers: Lillard has scored in double figures in 184 consecutive games, breaking a tie with Drexler for the franchise record. . Zach Collins made a tremendous defensive play to block a layup attempt by Yogi Ferrell in the first quarter. . Portland coach Terry Stotts was called for a technical while talking with officials after a foul.
Kings: Fox has made at least one steal in 14 straight games, the longest active streak in the NBA. . Iman Shumpert was called for a technical foul in the third quarter. Shumpert later had to be walked to the bench by a teammate after arguing with someone on Portland's bench. Shumpert's three technicals are tied for second-most on Sacramento behind Fox, who has four.
Trail Blazers: Host the Cleveland Cavaliers on Wednesday.
Kings: At the Charlotte Hornets on Thursday.
More AP NBA: https://apnews.com/tag/NBA and https://twitter.com/AP_Sports