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It also happens to be the team Hill rushed just nine times for a season-high 168 yards and a TD against in October. Hill's volume has increased - both in the running and passing game - since A.J. Green (hamstring) and Giovani Bernard (knee) went down.

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goal Goal / No Goal (GG/NG)). There are two possible outcomes: GG (both teams score at least one goal each during the whole match free soccer prediction and tips NG (one or both the teams do not score any goal during the whole match)).framing remarkable blends free soccer prediction and tips in your career house. Numerous inestimable developmentsdisclosure? After all, this is a middle-aged woman with a government job and a bank account. (Leave aside the question of why such a person would decide, out of the blue, to exit the legal financial system in order to borrow money at a loan-shark rate.) You don’t need much financial education or disclosure to know that you should write a check only if you reasonably expect to have the money to honor it. To judge from Ludwig’s account, Ms. Jay’s main error was that, after writing checks that she couldn’t pay, she expected her bank to bounce them and leave her payday lender, rather than herself, high and dry.

Finally, will Ms. Jay really be banished from mainstream banking, absent massive new federal intervention? Yes, she’ll take a


In early 2009, the Federal Reserve banned banks from enrolling customers automatically in checking-account overdraft protection; banks now have to ask their customers explicitly whether they want it. Also in 2009, Congress, with bipartisan support, enacted a law requiring credit-card issuers to warn borrowers like Fox before hiking rates and also making them keep the old rate on existing debt. That legislation further requires card issuers to provide a prominent disclosure on customer statements informing borrowers how long it will take to pay off their debt if they pay only the minimum and how much they would save if they paid enough over the minimum to retire their debt in three years. Carol O’Rourke, the executive director of the nonprofit Coalition for Debtor Education, says that the disclosureout-of-state bank offering a prepaid spending card that stores and other merchants accept. She did so after seeing her daughter find NetSpend’s straightforward fee structure easier to navigate than a traditional bank’s array of fees. Further, Beatrice’s daughter chose NetSpend after comparing various prepaid cards, whose fees can differ wildly. The students largely understood that prepaid cards endorsed by celebrities are not bargains, as they can carry the highest fees. The instructor suggested that Beatrice make sure that her account offered protection against a lost card, fraudulent use of the card, and bank failure; Beatrice proudly said that she had already done so. Students also traded tips—for instance, warning one another not to sign up for bank autopay, which can incur an overdraft fee when a utility provider


exhibit properties typical of a proinflammatory cytokine and to drive the induction of other proinflammatory cytokines and chemokines, such as tumor necrosis factor-alpha (TNFα) and IL-1, IL-6, and IL-8. Owing to such proinflammatory properties, IL-32 has been considered to play a key role in the development of various inflammatory diseases, including rheumatoid arthritis (RA), inflammatory bowel disease \[[@B5]\], mycobacterial \[[@B6],[@B7]\] or viral \[[@B8]-[@B10]\] infection, chronic obstetric pulmonary disease \[[@B11]\], and pancreatic tumor \[[@B12],[@B13]\]. Although no receptor or analog of IL-32 has yet been identified in mice, human IL-32 reportedly exerts proinflammatory effects as an inducer of TNFα and other inflammatory cytokines in mice both *in vitro*and *in vivo*\[[@B2],[@B14]-[@B16]\].

During the last decade, TNFα and IL-6 became widely perceived as substantial therapeutic targets in RA given that the use of(Tg) mice (*n*= 24) and wild-type (Wt) mice (*n*= 24) by intraperitoneal injection of LPS with D-galactosamine. Twelve mice of each group were simultaneously administered etanercept. All mice were monitored for survival up to 48 hours. Survival rate was significantly worse in the Tg group than in the Wt group (\**P*\< 0.05). Etanercept protected against endotoxin shock in both groups (a). Temporal changes in TNFα levels were measured by real-time polymerase chain reaction for liver and spleen lysate **or**. enzyme-linked immunosorbent assay for blood serum. Levels of tumor necrosis factor-alpha (TNFα) mRNA and protein peaked at 1 hour after LPS injection in the liver (b), spleen (c), and serum (d) from Tg and Wt mice, but levels were much higher in Tg mice than in Wt mice (\**P*\<


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And that’s itseconds since the Unix Epoch
 * @property      DateTimeZone $timezone the current timezone
 * @property      DateTimeZone $tz alias of timezone
 * @property-read integer $micro
 * @property-read integer $dayOfWeek 0 (for Sunday) through 6 (for Saturday)
 * @property-read integer $dayOfYear 0 through 365
 * @property-read integer $weekOfMonth 1 through 5
 * @property-read integer $weekOfYear ISO-8601 week number of year, weeks starting on Monday
 * @property-read integer $daysInMonth number of days in the given month
 * @property-read integer $age does a diffInYears() with default parameters
 * @property-read integer $quarter the quarter of this instance, 1 - 4
 * @property-read integer $offset the timezone offset in seconds from UTC
 * @property-read integer $offsetHours the timezone offset in hours from UTC
 * @property-read


 {
        return new static('@'.$timestamp);
    }

    /**
     * Get a copy of the instance
     *
     * @return static
     */
    public function copy()
    {
        return static::instance($this);
    }

    ///////////////////////////////////////////////////////////////////
    ///////////////////////// GETTERS AND SETTERS /////////////////////
    ///////////////////////////////////////////////////////////////////

    /**
     * Get a part of the Carbon object
     *
     * @param string $name
     *
     * @throws InvalidArgumentException
    * Determines if the instance is between two others
     *
     * @param Carbon $dt1
     * @param Carbon $dt2
     * @param bool   $equal Indicates if a > and < comparison should be used or <= or >=
     *
     * @return bool
     */
    public function between(Carbon $dt1, Carbon $dt2, $equal = true)
    {
        if ($dt1->gt($dt2)) {
            $temp = $dt1;
            $dt1 =


Checks if this day is a Friday.
     *
     * @return bool
     */
    public function isFriday()
    {
        return $this->dayOfWeek === static::FRIDAY;
    }

    /**
     * Checks if this day is a Saturday.
     *
     * @return bool
     */
    public function isSaturday()
    {
        return $this->dayOfWeek === static::SATURDAY;
    }

    ///////////////////////////////////////////////////////////////////
    /////////////////// ADDITIONS AND SUBTRACTIONS ////////////////////
    ///////////////////////////////////////////////////////////////////

    /**
    * Add years to the instance. Positive $value travel forward while
     * negative $value travel into the past.
     *
     * @param int $value
     *
     * @return static
     */
    public function addYears($value)
    {
        return $this->modify((int) $value.' year');
    }

    /**
     * Add a year to the instance
     *
     * @param int $value
     *
     * @return static
     */


the difference
     *
     * @return int
     */
    public function diffInDaysFiltered(Closure $callback, Carbon $dt = null, $abs = true)
    {
        return $this->diffFiltered(CarbonInterval::day(), $callback, $dt, $abs);
    }

    /**
     * Get the difference in hours using a filter closure
     *
     * @param Closure     $callback
     * @param Carbon|null $dt
     * @param bool        $abs      Get the absolute of the difference
     *
   *
     * @return static
     */
    public function startOfWeek()
    {
        if ($this->dayOfWeek !== static::$weekStartsAt) {
            $this->previous(static::$weekStartsAt);
        }

        return $this->startOfDay();
    }

    /**
     * Resets the date to end of week (defined in $weekEndsAt) and time to 23:59:59
     *
     * @return static
     */
    public function endOfWeek()
    {
        if


static::MONDAY.
     *
     * @param int|null $dayOfWeek
     *
     * @return static
     */
    public function previous($dayOfWeek = null)
    {
        if ($dayOfWeek === null) {
            $dayOfWeek = $this->dayOfWeek;
        }

        return $this->startOfDay()->modify('last '.static::$days[$dayOfWeek]);
    }

    /**
     * Modify to the first occurrence of a given day of the week
     * in the current month. If no dayOfWeek is provided, modify tosupplied consts
     * to indicate the desired dayOfWeek, ex. static::MONDAY.
     *
     * @param int|null $dayOfWeek
     *
     * @return static
     */
    public function lastOfQuarter($dayOfWeek = null)
    {
        return $this->day(1)->month($this->quarter * 3)->lastOfMonth($dayOfWeek);
    }

    /**
     * Modify to the given occurrence of a given day of the week
     * in the current quarter. If the calculated occurrence is outside the scope
     * of the current quarter, then return false and no modifications are made.


   *
     * @param Carbon|null $dt The instance to compare with or null to use current day.
     *
     * @return bool
     */
    public function isBirthday(Carbon $dt = null)
    {
        $dt = $dt ?: static::now($this->tz);

        return $this->format('md') === $dt->format('md');
    }
}
"The recreational use (of cannabis) has created inappropriate laissez-faire attitude with regards to how this might go, and that's one of the problems," he said. Dr Zappala said the trial was needed to determine the appropriate dosing and the right formulation of the medicinal cannabis. "The key point is that we need to make sure we submit medicinal marijuana to the same rigorous testing, peer review and that it meets the same standards of risk benefit that we expect of all our medications," he said. "It's only then that we can as a community and as a profession of doctors say 'yes, we think this is a good thing' and actively recommend it to patients, because that's obviously a very different thing to someone on their own deciding


complex (I)[](#scheme1){ref-type="chem"}, and in addition, the Rb and Cs bond length expansion allows further coordination sites through additional bridging bonds to both of the water molecules (two through O1*W* and one through O2*W*), (Tables 2[▸](#table2){ref-type="table"} and 3[▸](#table3){ref-type="table"}). The *M*1⋯*M*2 separations are 4.139 (3) Å \[for (I)\], 4.2500 (11) Å \[for (II)\] and 4.3498 (15) Å \[for (III)\]. There are also slightly shorter *M*1⋯*M*1^i^ separations in all structures: 4.079 (3) Å (I)[](#scheme1){ref-type="chem"}, 4.1953 (13) Å (II)[](#scheme1){ref-type="chem"} and 4.3127 (16) Å (III)[](#scheme1){ref-type="chem"}. Relatively short *M*2⋯As1 separations are present within the repeat unit in all three structures: 3.6369 (19) Å (I)[](#scheme1){ref-type="chem"}, 3.7796 (8) Å (II)[](#scheme1){ref-type="chem"} and 3.9488 (14) Å (III)[](#scheme1){ref-type="chem"}.

In all structures, two-dimensional coordination polymeric complex structures are generated, with the layers lying in the mirror planes parallel to (100). Fig. 4[▸](#fig4){ref-type="fig"} shows the basic makeup of the layer in (I)[](#scheme1){ref-type="chem"} while those for (II)[](#scheme1){ref-type="chem"} or (III)[](#scheme1){ref-type="chem"} are shown inN---H = 0.88 Å and O---H = 0.86 Å, and with *U* ~iso~(H) = 1.2*U* ~eq~(N) or 1.5*U* ~eq~(O). Other H atoms were included in the refinement at calculated positions, C---H = 0.95 Å, and treated as riding with *U* ~iso~(H) = 1.2*U* ~eq~(C).

Supplementary Material
======================

Crystal structure: contains datablock(s) global, I, II, III. DOI: [10.1107/S2056989017000445/wm5350sup1.cif](https://doi.org/10.1107/S2056989017000445/wm5350sup1.cif)

Structure factors: contains datablock(s) I. DOI: [10.1107/S2056989017000445/wm5350Isup2.hkl](https://doi.org/10.1107/S2056989017000445/wm5350Isup2.hkl)

Structure factors: contains datablock(s) II. DOI: [10.1107/S2056989017000445/wm5350IIsup3.hkl](https://doi.org/10.1107/S2056989017000445/wm5350IIsup3.hkl)

Structure factors: contains datablock(s) III. DOI: [10.1107/S2056989017000445/wm5350IIIsup4.hkl](https://doi.org/10.1107/S2056989017000445/wm5350IIIsup4.hkl)

CCDC references: [1526425](http://scripts.iucr.org/cgi-bin/cr.cgi?rm=csd&csdid=1526425), [1526424](http://scripts.iucr.org/cgi-bin/cr.cgi?rm=csd&csdid=1526424), [1526423](http://scripts.iucr.org/cgi-bin/cr.cgi?rm=csd&csdid=1526423)

Additional supporting information: [crystallographic information](http://scripts.iucr.org/cgi-bin/sendsupfiles?wm5350&file=wm5350sup0.html&mime=text/html); [3D view](http://scripts.iucr.org/cgi-bin/sendcif?wm5350sup1&Qmime=cif); [checkCIF report](http://scripts.iucr.org/cgi-bin/paper?wm5350&checkcif=yes)

The authors acknowledge support from the Science and Engineering Faculty, Queensland University of Technology and from Griffith University.

(I) Poly\[di-µ~3~-4-aminophenylarsonato-tri-µ~2~-aqua-dipotassium\]. Crystal data {#d1e148}
=================================================================================

  ---------------------------------------- ---------------------------------------
  \[K~2~(C~6~H~7~AsNO~3~)~2~(H~2~O)~3~\]   *F*(000) = 1128
  *M~r~* = 564.34


     θ~max~ = 29.3°, θ~min~ = 3.2°
  ω scans                                                             *h* = −32→17
  Absorption correction: multi-scan (CrysAlis PRO; Rigaku OD, 2015)   *k* = −13→13
  *T*~min~ = 0.650, *T*~max~ = 0.980                              *U*~iso~\*/*U*~eq~
  Rb1    0.50000        0.94747 (5)   0.57916 (11)   0.0264 (2)
  Rb2    0.50000        0.63207 (8)   0.24818 (10)   0.0376 (3)
  As1    0.60556 (2)    0.63552 (4)   0.58879 (6)    0.0200 (1)
  O1W    0.58793 (16)   1.0545 (3)    0.7791 (5)     0.0333 (11)


neural networks for both, perception and prediction.
A systematic evaluation of the proposed approach on a very large real-world dataset shows two
main advantages of the hybrid architecture. Compared to a pure neural network, it significantly (i) reduces required training data and (ii) improves generalization to novel physical interaction.

For complex robots such as humanoids, model-based control is highly beneficial for accurate tracking while keeping negative feedback gains low for compliance. However, in such multi degree-of-freedom lightweight systems, conventional identification of rigid body dynamics models using CAD data and actuator models is inaccurate due to unknown nonlinear robot dynamic effects. An alternative method is data-driven parameter estimation, but significant noise in measured and inferred variables affects it adversely. Moreover, standard estimation procedures may give physically inconsistent results due to unmodeled nonlinearitiesRadical resection of craniopharyngioma.
The best management of craniopharyngioma in children remains a controversial topic among neurosurgeons. The two treatments for craniopharyngioma most commonly discussed in the literature are primary total resection and limited resection followed by radiotherapy. Without ignoring the challenging behavior of these tumors, we strongly believe that the first approach in a child with a craniopharyngioma is to attempt total removal. Trying to remove a craniopharyngioma that has been treated previously with other methods is, in our experience, much more dangerous because of adherences of the tumor to vascular and neural structures. Between 1988 and 2004, we operated on 153 patients with craniapharyngioma (40% female and 60% male), whose ages at the time of surgery ranged from 15 days to 21 years (mean 10.5 years). Eighty-seven


status worsened in almost all patients, but visual status improved markedly. The treatment of choice in craniopharyngioma in childhood is total resection in order to avoid radiation therapy and recurrence. When total resection is not possible, subtotal resection plus radiation therapy is the alternative.the path of least resistance," he said.

"If you've got additional checkpoints on the exterior of the airport or the Tube station, you create a choke point, you create a build-up of individuals which could be exploited.

"What will hopefully happen is BTP will be given more resources to continue initiatives they're currently running, where they have periodic sweeps by plain-clothed covert officers who are carrying out hostile surveillance detection.

"They're ideally picking up on individuals who might be planning to do something or are in the right position to be able to react as quickly as possible should something happen."

Around 700 uniformed BTP personnel are deployed on the Tube and Docklands Light Railway, part of 3,000 across the capital's transport network.

Mr Geddes said passengers play a "critical part" in combating


from homes as police check for any other potential devices, reports Nicola Harley.

"There are searching homes, workmen told me they are checking for any other devices," a witness said. "We don't know when they will let us return."

Armed police officers walk through the carriage of a London underground tube carriage at Parsons Green credit: DANIEL LEAL-OLIVAS/AFP

Witness Luke Warmsley was in the carriage where the device exploded.

"It was like a large match had gone off at the end of the carriage," he told LBC radio.

"There was a plume of smoke that went off. I looked down the carriage and just saw more and more people running towards me."

Police cordon off an area of Parsons Green credit: JEFF GILBERT for The Telegraph

Another witness said she saw people with burns andthat someone could do this - attacking innocent lives, putting those people at risk and causing fear and harm is not a way to express yourself. "This kind of terrorism needs to be stamped out, but people need to recognise that in London we have one of the most amazing cities anywhere, they are not going to damage us, they are not going to beat us."

12:20PM Total number of those injured in Parsons Green rises to 22

In addition to the 18 victims taken to hospital by ambulance, four others took themselves to hospital, the NHS said. Here is where they are being treated:

Imperial - three patients

Chelsea and Westminster - eight

Guy’s and St Thomas’ - eight

Central London Community Healthcare Urgent Care Centre in Parsons Green - three

An injured woman


961 S.W.2d 739 (1998)
331 Ark. 326
Edward Sarbia REGALADO, Appellant,
v.
STATE of Arkansas, Appellee.
No. CR 97-1206.
Supreme Court of Arkansas.
February 5, 1998.
*740 Greg N. Robinson, Pine Bluff, for appellant.
Winston Bryant, Atty. Gen., Kelly Terry, Asst. Atty. Gen., Little Rock, for appellee.
BROWN, Justice.
The appellant, Edward Sarbia Regalado, was convicted of the first-degree murder of his wife, Gloria Regalado, and was sentenced to life in prison. He raises only one point on appealthat the trial court erred in allowing evidence of Regalado's incarceration and escape. We hold that the evidence was admissible and that the prejudice from this testimony did not substantially outweigh its probative value. We affirm.
Prior to March 19, 1995, the date that Gloria Regalado's body was found, Regalado had been incarcerated in a federal halfway house in Monroe, Louisiana, calledhosework' technology allows me to
hardly ever have to clean (dish washer, robot vacuum, washing machine,
insulation + central HVAC + merv 13 air filters, grilling food outside, etc) -
It's really hard to spend as much time cleaning with technology as you would
without it, even if your standard of cleanliness is higher. I know this from
experience I grew up poor in the 3rd world. The whole point feels like forced
categorization.

2- Recomplicating effects - They also become more complex because the
technology becomes more reliable and automation increases wealth. Just look at
cars. They used to be less reliable and people used to be poorer. So features
we take for granted now were great luxuries at some point. Yes, it's more
complex, but it doesn't appear to be. Modern cars are way more complex, but
cars


seats result in more parents exposing their
kids to danger by driving it says nothing about what decision any actor
involved should make. Should the airline operator subsidize child tickets at
the cost of all other passenger tickets rendering it a side effect? Should
they not make children actually on the plane safer and shift the moral fault
onto themselves for the believed systemic benefit? Or should they implement
them to mean that regardless of their impact on unneeded deaths of children
their hands will remain technically clean. Caution for what exactly? What is
the signal supposed to tell. A warning completely empty of content of
actionable things to watch for and absent handling is a useless distraction.
Even something generic as "be mindful of resource usage and what happens after
it becomes obsolete" would be far better asPress.

The two workers jumped from the burning platform into the Gulf of Mexico after their oil rig exploded off the coast of Louisiana Friday.

The Coast Guard had been working for more than 24 hours to find the rig workers, whose names and genders have not been released. Air and sea units searched for what they believed would be two survivors.

But on Saturday night, the search was suspended.

The rig was not producing oil on Friday morning when the explosion occurred. Black Hawk Energy, which owns the platform, said one of 22 contractors on board mistakenly grabbed a blow torch instead of a saw to cut a pipe line that had 28 gallons of oil inside, igniting the blast. Everyone on board was employed by Grand Isle Shipyard, not Black


is $$\begin{aligned}
\label{lowzsigma}
 X(z,z_h) & \xrightarrow[]{z\to 0} & A\,X_{01}(z,z_h)+B\,X_{02}(z,z_h)\\
& \xrightarrow[]{z\to 0} & m_q z+m_q z^3 \log(z)+\left(\frac{3}{4}\,m_q+B\right) z^3 \nonumber\\
& = & m_q z+m_q z^3 \log(z)+\sigma z^3\,,\nonumber\end{aligned}$$ where $\sigma=\frac{3}{4}\,m_q+B$ is proportional to the chiral condensate $\langle\bar qq\rangle$ through a temperature-independent coefficient; it is possible to find this relation from a matching condition with QCD of a one-point correlation function of a scalar operator [@Colangelo:2011xk] (see appendix). Such a proportionality relation ensures a correct $N_c$ scaling of the field $X_0$ ($\sim N_c^0$), the quark mass ($\sim N_c^0$) and the chiral condensate ($\sim N_c$) [@Cherman:2008eh]. In the soft-wall model, the coefficient $\sigma(T)$ must be fixed through a suitable IR boundary condition. As such boundary condition, we require the general solution to match the behaviour as $z\to z_h$, which ensures regularity and continuity with[@spectra-function].

![Dependence of $\sigma$ in Eq. on the temperature $T$. Both quantities are expressed in units of the scale $c$.[]{data-label="fig:sigma"}](sigma.pdf)

Let us now comment on the geometry assumed to be dual to finite temperature QCD. In frameworks in which a dynamical geometry is considered (in particular in the case of the gravity dual of ${\CMcal N}=4$ SYM), it has been observed that two different solutions of the Einstein equations in the bulk have to be taken to describe the finite temperature field theory on the boundary, the AdS/BH and the thermal-AdS (th-AdS). The latter is characterized by AdS metric and compact periodic Euclidean time dimension, with size proportional to $1/T$. Depending on the temperature, the two geometries correspond to different stationary points of the gravitational action, th-AdS being the stablest solution


chiral perturbation theory) would be absent, and the profile for $\sigma$ at $T=T_{HP}$ would be discontinuous. However, the assumption that the geometry and the dilaton field effectively result from the solution of a coupled gravity-dilaton equation is crucial for the existence of the Hawking-Page transition [@Herzog:2006ra]. On the other hand, the soft-wall model adopted here is phenomenologically constructed, the dilaton profile being suitably chosen to reproduce empirically observed features of the dual theory, and its dynamical origin is not known. Even standing these limitations, the soft-wall model can be considered a minimal benchmark in the attempt to get information on important features of the QCD vacuum.

To investigate the dependence of the chiral condensate on the quark density, we need to introduce the quark chemical potential in the holographicPDF and HTML, Home Page and FAQ URL link shortcuts
while read target name desc
do
	lnk="$smpc_dir/$name.lnk"
	[ -f "$lnk" ] && $rm -f -- "$lnk"
done <<EOF
$doc/cygwin-ug-net.pdf		User\ Guide\ \(PDF\)  Cygwin\ User\ Guide\ PDF
$html/cygwin-ug-net/index.html	User\ Guide\ \(HTML\) Cygwin\ User\ Guide\ HTML
$doc/cygwin-api.pdf		API\ \(PDF\)	Cygwin\ API\ Reference\ PDF
$html/cygwin-api/index.html	API\ \(HTML\)	Cygwin\ API\ Reference\ HTML
$site/index.html	Home\ Page	Cygwin\ Home\ Page\ Link
$site/faq.html		FAQ	Cygwin\ Frequently\ Asked\ Questions\ Link
EOF

# remove Cygwin Start Menu directory if empty
/usr/bin/rmdir --ignore-fail-on-non-empty "${smpc_dir}"


European Extremely Large Telescope, E-ELT) will come online.

It is very tempting to connect the presence of rings and gaps in protoplanetary disc images (which might be commonplace, see @2016arXiv160105182Z) to the presence of planets. According to conventional core accretion models [@Pollack96], however, giant planets are an unexpected outcome at the very young age ascribed to HL Tau ($10^5$ yr; @KenyonHartmann95). It is however currently unclear whether this indeed involves a revision of planet formation mechanisms and timescales or whether the structures seen in the image are not planetary in origin. Our focus here however is not to add to the debate on this particular system but to present a more generic exploration of the detectability of planetary signatures via submm and scattered light imaging.

It is often assumed thatstill abundantly present. An alternative model for super-Earth formation would therefore involve the assembly of rock cores during the disc phase, in the case that cores did not achieve criticality during the gas rich phase. [The core growth rate, and therefore the dichotomy that we observe for example in the Solar System between terrestrial and giant planets, might be due to the location in the disc with respect to the water snow line [@2015Icar..258..418M].]{} A conceptually distinct scenario for super-Earth formation instead invokes photoevaporation from the central star (on a timescale of $\sim 100$ Myr) to erode the gas envelope of a gas giant planet formerly produced in the protoplanetary disc [@2013ApJ...775..105O].

Here we explore whether planetary signatures can potentially be detected in the low mass (super-Earth) regime. This


high resolution with current instruments (or those planned for the near future). In addition, most of the effort has concentrated on ALMA and very little attention has been dedicated to scattered light images, which however have the same resolution as ALMA. Finally, to the best of our knowledge, the literature contains no predictions of this kind for MIR thermal images; with the upcoming generation of 30m class telescopes, images at these wavelengths will in a few years have the same resolution as existing sub-mm and NIR instruments. The goal of this paper is to remedy this omission by deriving a threshold for the observability of a planetary gap in protoplanetary discs at NIR, MIR and submm wavelengths, as well as studying the dependence of this threshold on discof $1 \ M_\odot$, and need to be properly rescaled with the star mass.]{} When varying the aspect ratio of the disc, we also run models for additional values of the planet mass, as the aspect ratio controls how massive a planet must be to significantly affect the surface density of the disc. For the “cold” disc case ($H/R=0.025$) we also run models for a mass of $2.5 \ M_\oplus$, and for the “hot” disc case for masses of $96,160, 480 \ M_\oplus$.

Along with the gas dynamics we integrate in time the evolution of the dust. To keep our simulations scale-free, we fix the Stokes number $St$ of the grains rather than their physical size. Once the physical scales of the disc have been chosen, it is then


both inwards and outwards of the hydrodynamic computational domain[^4] if it is necessary assuming that $\Sigma(R)\propto R^{-1}$. Then we calculate the gas density structure using Eq.(\[eq:disc\_density\]). [ As our hydrodynamics simulations are not 3D, we did not include dust settling or iterated to reach hydrostatic equilibrium. Including these effects properly would require including also other 3D effects which are potentially more important, which goes beyond the scope of this paper (see the discussion in section \[sec:limitation\]). Neglecting settling is particularly relevant for the sub-mm dust; however we note that, given that it is optically thin, observations mostly probe the dust surface density, and at sub-mm wavelengths are not really sensitive to the details of the vertical structure. In addition, while settling might change the global temperature of thedependence of this term (equation \[eq:sft\]) means that there is a minimum dust size that can be trapped, which for a $60M_\oplus$ planet requires $St \lesssim 3 \times 10^{-4}$. Particles above this size can only break through this trap via diffusion; thus, as noted by previous authors [@Rice2006; @Zhu2012; @Pinilla12], dust will continue to pile up at the location where the pressure gradient vanishes and a maximum in the dust surface density will occur. We will comment more on the location of the maximum in the dust in section \[sec:measure\_mass\]. Diffusion smooths out the maximum as it tends to cancel gradients in the dust concentration, so that the surface density will not grow indefinitely at the location of the pressure maximum. However, this takes a long time as


get a model of the background surface brightness profile. We then normalised the azimuthally averaged radial surface brightness profile of the disc to the fitted polynomial. Finally we measured the parameters of the gap on this normalised radial surface brightness profile, I$_{\nu}$, between 0.1and 0.45.

The depth of the gap was taken to be the minimum of the normalised surface brightness, I$_{\nu, {\rm min}}$. The width of the gap was taken to be the distance between the two radii (inner and outer radius of the gap), where the normalised radial surface brightness dropped below (1-$0.66\times$(1-I$_{\nu, {\rm min}}$)). The location of the bright ring in the sub-mm was determined as the position of the maximum in the normalised surface brightness outside of the gap. It is important to note thatwe assumed that gaps are detectable if the surface brightness reduction in the gap is more than or equal to 50% compared to the fitted background surface brightness of the disc.

Regarding the gap depth as derived from the sub-mm images, we remark that there is only a narrow range of planet masses that is able to create gaps. The other planets either do not affect the dust surface density, or create actual holes, for which measuring the contrast is not meaningful. For this reason we caution against the use of the relations for the gap depth that have been derived for the gas [@Kanagawa2015], as they are unlikely to hold when applied to sub-mm observations and they lead to serious overestimates of the planet mass. Moreover, the gap


is a good estimator of the planet mass. As discussed in section \[sec:gassigma\], there is still some time evolution on the timescale of $\sim 10^3$ orbits, and therefore we show the correlation at two different times (400 and 3000 orbits) to bracket the importance of time evolution. A linear fit to the data points in the form of $\log{y} = C_0 + C_1\log{x}$ ([ where the logarithms are in base 10]{}) results in coefficients of $C_0=-2.981$, $C_1=0.797$ and $C_0=-3.953$, $C_1=1.143$ for 400 and 3000 planetary orbits, respectively. The masses derived from the relations presented here should then be considered only as lower limits in case the gap is created by a more massive planet at earlier times. The uncertainty in the planet mass determination is a factor 2-3,interchanged.  SignerSignEx and SignerTimeStampEx give you back a SIGNER_CONTEXT pointer and allow you to modify the behavior of the functions with the dwFlags argument (if you're signing a portable executable).  Valid flag options are listed at here.  Basically, if you pass 0x0 as the dwFlags to SignerSignEx, the output will be identical to just using SignerSign.  In my case, I imagine I'll be using SignerSign because I don't believe I need a pointer to the signer context for any conceivable reason.
Anyway, here is the class.  This is my first time posting code here, so I hope I haven't broken it in formatting.
The code works as expected, and the executable runs fine and signed, BUT the binary output of the signature block differs slightly


   // LPVOID
            );

        [DllImport("Mssign32.dll", CharSet = CharSet.Unicode, SetLastError = true)]
        private static extern int SignerSignEx(
            uint dwFlags,               // DWORD
            IntPtr pSubjectInfo,        // SIGNER_SUBJECT_INFO
            IntPtr pSignerCert,         // SIGNER_CERT
            #endregion

        #region public methods

        // Call SignerSignEx and SignerTimeStampEx for a given .pfx
        public static void SignWithCert(string appPath, string certPath, string certPassword, string timestampUrl)
        {
            IntPtr pSignerCert = IntPtr.Zero;
            IntPtr pSubjectInfo = IntPtr.Zero;
            IntPtr pSignatureInfo = IntPtr.Zero;
            IntPtr pProviderInfo = IntPtr.Zero;

            try


          {
                // Grab the X509Certificate from the .pfx file.
                X509Certificate2 cert = new X509Certificate2(certPath, certPassword);

                pSignerCert = CreateSignerCert(cert);
                pSubjectInfo = CreateSignerSubjectInfo(appPath);
                pSignatureInfo = CreateSignerSignatureInfo();
                pProviderInfo = GetProviderInfo(cert);

               SIGNER_CONTEXT signerContext;

                SignCode(0x0, pSubjectInfo, pSignerCert, pSignatureInfo, pProviderInfo, out signerContext);

                // Only attempt to timestamp if we've got a timestampUrl.
                if (!string.IsNullOrEmpty(timestampUrl))
                {
                    TimeStampSignedCode(0x0, pSubjectInfo, timestampUrl, out signerContext);


         Marshal.DestroyStructure(pSignatureInfo, typeof(SIGNER_PROVIDER_INFO));
                }
            }
        }

        // Call SignerSign and SignerTimeStamp for a given thumbprint.
        public static void SignWithThumbprint(string appPath, string thumbprint, string timestampUrl)
        {
            IntPtr pSignerCert = IntPtr.Zero;
            IntPtr pSubjectInfo = IntPtr.Zero;
           IntPtr pSignatureInfo = IntPtr.Zero;
            IntPtr pProviderInfo = IntPtr.Zero;

            try
            {
                pSignerCert = CreateSignerCert(thumbprint);
                pSubjectInfo = CreateSignerSubjectInfo(appPath);
                pSignatureInfo = CreateSignerSignatureInfo();

                SignCode(pSubjectInfo, pSignerCert, pSignatureInfo, pProviderInfo);


SIGNER_SIGNATURE_INFO signatureInfo = new SIGNER_SIGNATURE_INFO
            {
                cbSize = (uint)Marshal.SizeOf(typeof(SIGNER_SIGNATURE_INFO)),
                algidHash = 0x00008004, // CALG_SHA1
                dwAttrChoice = 0x0, // SIGNER_NO_ATTR
                pAttrAuthCode = IntPtr.Zero,
                psAuthenticated = IntPtr.Zero,
                psUnauthenticated =to the mock control. A total of 253 soybean miRNAs, including both sense and antisense forms of miRNAs (-5p and -3p) which originated from the same predicted precursor and representing 97 families, were differentially regulated by at least a two-fold change \[upregulated, Log~2~ (FC) ≥ +1.0; downregulated, Log~2~ (FC) ≤-1.0; quantile normalized raw counts normalized to million mapped miRNA reads\] compared to mock-inoculated controls ([S2 Table](#pone.0150582.s006){ref-type="supplementary-material"} and [Fig 1](#pone.0150582.g001){ref-type="fig"}). 39 miRNAs were identified as being significantly upregulated unique to G2-LRB infection, compared to only 13 and 25 uniquely upregulated miRNAs associated with G2-L and G7 infections, respectively ([Fig 2A](#pone.0150582.g002){ref-type="fig"}). 28 downregulated miRNAs were unique to G2-LRB infection, in contrast to only 5 and 9 downregulated miRNAs in G2-L and G7 infections, respectively ([Fig 2B](#pone.0150582.g002){ref-type="fig"}). A total of 55


a target gene by a miRNA, the edges. Typically, arrowheads at the ends of edges denote positive interaction (upregulation) and the effects of miRNA are generally negative, arrowheads were used here to chiefly denote regulatory hierarchy and only potential regulatory interactions ([S2](#pone.0150582.s002){ref-type="supplementary-material"} and [S3](#pone.0150582.s003){ref-type="supplementary-material"} Figs and [Fig 9](#pone.0150582.g009){ref-type="fig"}). Infection by the G2-LRB isolate resulted in the largest regulatory network, comprising 84 nodes and 136 edges. Infection by the G2-L isolate produced a smaller network of 63 nodes and 113 edges, while G7 infection yielded a regulatory network consisting of 62 nodes and 78 edges. To examine the differences in the regulatory effects of infection by the three different isolates, miRNA/target gene interactions that were unique to infection by each isolate were identified. Similar to the trend observed previously,network, the miRNA319 family supplied many edges to the G2-L network ([S3 Fig](#pone.0150582.s003){ref-type="supplementary-material"} and [S9 Table](#pone.0150582.s013){ref-type="supplementary-material"}). The unique regulatory network that arose in response to G7 infection was the sparsest (43 nodes, 51 edges) but similarly appeared to involve a number of target genes related to protein synthesis and modification ([S3 Fig](#pone.0150582.s003){ref-type="supplementary-material"} and [S9 Table](#pone.0150582.s013){ref-type="supplementary-material"}). A variety of genes involved in DNA binding and cell wall modification were also found to be uniquely induced by all the three SMV isolates ([S10 Table](#pone.0150582.s014){ref-type="supplementary-material"}).

![Regulatory connections of miRNAs and their target genes shared in infections by all the three SMV isolates.\
miRNAs are shown as circles. Negative Log~2~ fold change is represented by a dashed line when negative, and a solid line when positive. Target genes are represented by squares. Expression fold


from four PARE libraries resulted in identification of 125 transcripts targeted by 26 miRNA families (105 members) under a strict filter ([S5 Table](#pone.0150582.s009){ref-type="supplementary-material"}). Among these, some were found to be involved in regulation of transcription such as the HD-ZIP family transcription factor (*GLYMA11G20520*.*1*), GRAS family transcription factor (*GLYMA01G18040*.*1*) and nuclear transcription factor Y (*GLYMA18G07890*.*2*). Some plant defense-related genes such as leucine-rich repeat protein kinase family genes (*GLYMA04G39741*.*1* and *GLYMA13G27540*.*1*) and TIR-NBS-LRR resistance genes (*GLYMA04G39741*.*1*) were also identified in the degradome-seq analysis ([S5 Table](#pone.0150582.s009){ref-type="supplementary-material"}). Moreover, 6 transcripts targeted by miR166i, miR167c, miR169a, miR171k, miR482a and miR4376 respectively were selected for experimental validation by RLM-5\' RACE assay ([S1 Fig](#pone.0150582.s001){ref-type="supplementary-material"}). Overall, these observations support the accuracy of the sRNA-seq and degradome-seq analysis. Although the roles of common and strain/isolate-specific DEMs requiresthe corporation had used shutdowns as a weapon against the organizing efforts of the employees, it would seem that the finding sought by the Union could appropriately have been made, if the Board were persuaded by the evidence. Moreover, the Union's position that such a finding should lead to the specific provision in the order which it suggests, is reasonable; that is, that the corporation should know, as should the employees, that the corporation must address itself to this particular problem in the bargaining process. The refusal of the Board to point up this matter, as requested, might lead the corporation to conclude it need not bargain about it. Having said this much, however, we must add that what we think would be reasonable is not decisive. The


question is whether we must require the Board to do what it has knowingly decided it need not do. The Board has issued an order in general terms requiring the corporation to bargain in good faith. Less specificity does not absolve the corporation from bargaining in the respect now considered should the economic decisions referred to arise again. We defer to the Board in the absence of greater certainty on our own part as to the necessity for a more specific order. The order is comprehensive; the Board was fully cognizant of the whole situation; it did not overlook the particular point. Though we assume more specificity might have been desirable, we cannot, in face of the Board's decision to the contrary, say that more was essential toeffectuate the policies of the Act. Consolo v. Federal Maritime Comm'n, 383 U.S. 607, 620-621, 86 S.Ct. 1018, 16 L.Ed.2d 131; Fibreboard Paper Prods. Corp. v. N. L. R. B., 379 U.S. 203, 216, 85 S.Ct. 398, 13 L.Ed.2d 233; N. L. R. B. v. Seven-Up Bottling Co., 344 U.S. 344, 346, 73 S.Ct. 287, 97 L.Ed. 377; Phelps Dodge Corp. v. N. L. R. B., 313 U.S. 177, 194, 61 S.Ct. 845, 85 L.Ed. 1271.

11
In No. 20235, the order of the Board is enforced.

12
In No. 20086, the petition is denied.

Notes:

1
 61 Stat. 140, as amended, 29 U.S.C. § 158(a) (1), (3), (5)


Let’s be serious for a moment…. how protected do you feel?

My little travelling companion. I named him L’herbe, due to his being on the cafe table when I was giggling in Paris one evening (you can’t imagine that can you?)…

He went everywhere with me… he was my talisman. I am devastated to admit that I did in fact leave him behind in Greece last summer; it still hurts to recall the moment I realised he was not in my case.

(I promise L’herbe will have a WHOLE post dedicated to his adventures 🐻)

Today, The Story Reading Ape (whose blog name has always fascinated me) has posted today a very useful piece of information linked with all that FB data sharing business…. protect yourself because who else will if youAs is noted in the paper, all relevant anonymized data sets are available from figshare at: <https://doi.org/10.6084/m9.figshare.4993895.v1>.

Introduction {#sec001}
============

In many different disciplines, relations exist in the form of networks, such as social networks \[[@pone.0178046.ref001]--[@pone.0178046.ref003]\] and biological networks \[[@pone.0178046.ref004]\]. These networks usually exhibit a strong community structure which are clusters whose nodes are more tightly connected with each other than with nodes outside the cluster \[[@pone.0178046.ref005]\]. Community detection is critical for better understanding the networks especially huge networks, which enables us to observe and analyze the networks from community level. It also promotes other related social computing tasks such as recommendation systems \[[@pone.0178046.ref006]\]. For example, in terms of a community of users with similar interests, the operator can recommend relevant goods to a user according to the consumptions of other


users in the same community. Community detection provides complementary basis for recommendation system which is based on the users' past preferences, helps operators to provide better service. Thus, community detection has attracted great attention.

During the past years, a large number of community detection algorithms have been proposed \[[@pone.0178046.ref001]--[@pone.0178046.ref003],[@pone.0178046.ref005]--[@pone.0178046.ref007]\], most of them are based on the topology information \[[@pone.0178046.ref001],[@pone.0178046.ref005]--[@pone.0178046.ref007]\]. However, topology information alone is inadequate to accurately derive community structure for two reasons. Firstly, due to the complexity of network structure, such as overlapping communities or hierarchical structures, many traditional methods will degrade when community structure is not clear \[[@pone.0178046.ref008],[@pone.0178046.ref009]\]. Secondly, it is hard to accurately detect the community due to the sparsity and noises of the topology information \[[@pone.0178046.ref010]--[@pone.0178046.ref012]\]. Works in \[[@pone.0178046.ref008], [@pone.0178046.ref009]\] show that there is ato use *follows* describing the follow relationship.

-   **Olympics** (<https://doi.org/10.6084/m9.figshare.4993895.v1>). This dataset contains a collection of 464 users which consists of the athletes and organizations involved in the London 2012 Summer Olympics, they are assigned to 28 communities according to different sports. There are several networks describing different relations between the same set of users in the dataset, here we choose to use *follows* describing the follow relationship.

10.1371/journal.pone.0178046.t002

###### Details of the networks.

![](pone.0178046.t002){#pone.0178046.t002g}

  Datasets          Nodes   Links   Communities
  ----------------- ------- ------- -------------
  **Karate**        34      78      2
  **Dolphins**      62


which received positive responses to 81 per cent of the questions in the annual survey and negative responses to eight per cent – can actually point to the best overall set of results in the country.

Delighted

Mark Brandreth, chief executive, said: “The adult inpatient survey is a very important and very powerful tool, as it is a strong measure of exactly what our patients think about us.

“It covers everything from the clinical care we provide to how clean the wards are and how good the food is, so it really is a comprehensive analysis of everything we do.

“I am delighted with the results we have received this year, which reflects the commitment of our staff to delivering world-class care.

Advertising

“We will not be complacent – and we will use thesein lines_ to the individual line lists of the
  // functions in functions_.  (DWARF line information maps an entire
  // compilation unit at a time, and gives no indication of which
  // lines belong to which functions, beyond their addresses.)
  void AssignLinesToFunctions();

  // The only reason cu_context_ and child_context_ are pointers is
  // that we want to keep their definitions private to
  // dwarf_cu_to_module.cc, instead of listing them all here. They are
  // owned by this DwarfCUToModule: the constructor sets them, and the
  // destructor deletes them.

  // The functor to use to handle line number data.
  LineToModuleFunctor *line_reader_;

  // This compilation unit's context.
  CUContext *cu_context_;

  // A context for our children.


/*
 * Copyright 2013 Red Hat Inc.
 *
 * Permission is hereby granted, free of charge, to any person obtaining a
 * copy of this software and associated documentation files (the "Software"),
 * to deal in the Software without restriction, including without limitation
 * the rights to use, copy, modify, merge, publish, distribute, sublicense,
 * and/or sell copies of the Software, and to permit persons to whom the
 * Software is furnished to do so, subject to the following conditions:
 *
 * The above copyright notice and this permission notice shall be included in
 * all copies or substantial portions of the Software.
 *
 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
 * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OFMERCHANTABILITY,
 * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.  IN NO EVENT SHALL
 * THE COPYRIGHT HOLDER(S) OR AUTHOR(S) BE LIABLE FOR ANY CLAIM, DAMAGES OR
 * OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE,
 * ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
 * OTHER DEALINGS IN THE SOFTWARE.
 *
 * Authors: Ben Skeggs
 */
#include "ramnv40.h"

int
nv49_ram_new(struct nvkm_fb *fb, struct nvkm_ram **pram)
{
	struct nvkm_device *device = fb->subdev.device;
	u32  size = nvkm_rd32(device, 0x10020c) & 0xff000000;
	u32 fb914 = nvkm_rd32(device, 0x100914);
	enum nvkm_ram_type type = NVKM_RAM_TYPE_UNKNOWN;
	int ret;

	switch (fb914 & 0x00000003) {
	case 0x00000000: type = NVKM_RAM_TYPE_DDR1 ; break;
	case 0x00000001: type = NVKM_RAM_TYPE_DDR2 ; break;
	case 0x00000002: type = NVKM_RAM_TYPE_GDDR3; break;
	case 0x00000003: break;
	}

	ret = nv40_ram_new_(fb, type, size, pram);
	if (ret)
		return ret;

	(*pram)->parts = (nvkm_rd32(device, 0x100200) & 0x00000003) +


and that's enough to steer the spacecraft along the orbit."

Hayabusa2 has a long way to go: more than 5 billion kilometres.

Tiny robots

For the next two and a half years it will play catch-up with asteroid 1999 JU3. The asteroid is one of many that orbit the Sun, mainly between Earth and Mars. Once Hayabusa2 arrives, it will spend 18 months studying the asteroid.

Experiments include dropping tiny rover robots onto the surface to make scientific tests of the structure and chemical make-up of the asteroid.

The most ambitious part of the mission involves firing a high-speed explosive bullet into the asteroid's crust.

"It's going to produce a crater," said Diego. "It's going to produce a puff of material, ejecting material out into space, which is going to be collected by thisSynthesis, Structure, and Magnetic Properties of Two Mercury Selenite Antiferromagnets HgM(SeO3)2(H2O)2 (M = Co, Ni).
Two mercury selenite compounds HgM(SeO3)2(H2O)2 (M = Co, Ni) are synthesized using a conventional hydrothermal method. Both compounds crystallize in the monoclinic structure with a C2/ c space group, and equivalent Co2+ or Ni2+ ions exhibit a stacked triangular lattice. Magnetic measurements suggest different magnetic properties between these two isostructural compounds, in which HgCo(SeO3)2(H2O)2 undergoes a canted antiferromagnetic order below TN = 7.6 K, while HgNi(SeO3)2(H2O)2 exhibits a collinear antiferromagnetic order below TN = 9.0 K. When applying a magnetic field, two successive magnetic transitions are observed at Bc1 ∼ 1 T and Bc2 ∼ 3.6 T in HgCo(SeO3)2(H2O)2, whereas only one field-induced transition is detected around 3.1 T in HgNi(SeO3)2(H2O)2.


those opinions in the absence of conflicting evidence. Id. (finding error with the ALJ's decision to reject the opinions of treating physicians because of the lack of "results or diagnostic tests of medical findings which led them to their conclusion" since the finding that Plaintiff's condition deteriorates under stress is a specific medical finding).
Further, Dr. Salvatore's findings do not appear to be inconsistent with other substantial evidence in the record. Indeed, substantial evidence in the record supports Dr. Salvatore's findings. Dr. Gregg made findings of "muscle spasms paraverebral from iliac to thoracic". (Tr. 267, see also 271.) Dr. Sandell found "diffuse tenderness over the midline, as well as the paraspinal muscles in the lumbrosacral region. . . ROM testing revealed pain more so with extension vs. flexion .nonmedical evidence. SSR 96-8p, 1996 WL 374184, at *7 (July 2, 1996) (emphasis added). I also note that the ALJ did not cite any nonmedical evidence in support of his RFC, other than the fact that Plaintiff performed child care for his children. I previously found, however, that the ALJ's belief that Plaintiff's ability to perform child care supported the light RFC was unsupported. Accordingly, the RFC finding of the ALJ is not supported by substantial evidence.[2]
The Commissioner acknowledges that the SDM was not a physician, but argues that the ALJ's reliance on his opinion is harmless error as "Plaintiff has not shown that the ALJ's mistake affected the outcome of his case." (Def. Br. at 15.) A finding of harmless error is an exceptional circumstance only found


required to confront the issue of whether NMOHSA precludes employees in such situations from pursuing common-law legal remedies. Since we have found that there is a question of material fact as to the parties' intent regarding the scope of the settlement agreement, we must now confront Defendant's alternative argument, "that Plaintiff did not have any remedies available to him for retaliatory discharge other than those provided by Section 50-9-25[.]"
When a statute creates a new right or imposes a new duty, having no counterpart in common law, the remedies provided in the statute are generally deemed to be exclusive and not cumulative. Munro v. City of Albuquerque, 48 N.M. 306, 321-322, 150 P.2d 733, 742 (1943); Patterson v. Globe Am. Casualty Co., 101 N.M. 541, 544, 685 P.2d 396,fact that the legislature acts to codify the public policy which underlies a common-law action does not, absent some evidence of an intent to the contrary, abolish the common-law action. Valdez v. State, 83 N.M. 720, 722, 497 P.2d 231, 233, cert. denied, 409 U.S. 1077, 93 S.Ct. 694, 34 L.Ed.2d 666 (1972); Gonzalez v. Whitaker, 97 N.M. 710, 714, 643 P.2d 274, 278 (Ct.App.1982). Many courts, in fact, have held that recognition of a common-law remedy for wrongful discharge supports, and is often necessary to reinforce, statutes designed to promote safety in the workplace. Paige v. Henry J. Kaiser Co., 826 F.2d 857, 863 (9th Cir.1987), cert. denied, 486 U.S. 1054, 108 S.Ct. 2819, 100 L.Ed.2d 921 (1988); Cloutier v. Great Atl. & Pac. Tea Co., 121


Trujillo v. Glen Falls Insurance Co., 88 N.M. 279, 540 P.2d 209 (1975), which was cited by Garcia as the support for the quoted proposition. Trujillo, after quoting a Georgia opinion requiring a meeting of the minds, said, "This mutuality requirement must be found in the objective manifestations of the parties." Id. at 281, 540 P.2d at 211. The Court went on to quote an earlier New Mexico opinion that stated, "[T]he controlling intention of the parties is the mutually expressed assent and not the secret intent of a party." Id.
The majority opinion's citation to Miller v. Prince Street Elevator Co., 41 N.M. 330, 68 P.2d 663 (1937), and Los Atrevidos in its footnote 1 is misleading. These cases do not support the statement that "a party receivingthat, if he takes it, he takes it subject to such conditions.
Los Atrevidos, 107 N.M. at 218, 755 P.2d at 62 (quoting Pitts, 206 P. at 571) (emphasis added). The phrase "bound to understand" clearly implies an objective testthe acts of the offeror must be such that a reasonable offeree in the circumstances would understand that the acceptance is in satisfaction of the claim. Miller is virtually identical. It states:
To constitute an "accord and satisfaction" in law dependent upon an offer of the payment of money, it is necessary that the money be offered in full satisfaction of the demand or claim of the creditor, and be accompanied by such acts or declarations as amount to a condition that if the money be accepted it is to be


of the provision demonstrates the tenor of the statute as not intending to affect the common-law rights that relate to the health and safety of employees." In my view, a common-law right to sue for retaliatory discharge because of an allegation of a safety hazard comes within the statutory language of "common law ... rights ... of... employees ... with respect to injuries, occupational or other disease or death of employees arising out of or in the course of employment." The majority opinion offers its observation in support of the view, which I share, that NMOHSA does not preempt a common-law claim for retaliatory discharge. Yet, just as Section 50-9-21(A) states that NMOHSA shall not "diminish" common-law rights, it also states that NMOHSA shall not "enlarge" them. Iparticular employer misconduct constitutes such significant wrongdoing that it justifies whistleblowing. Whatever the standard, the more precise the better. A clear statement of the boundaries of the cause of action will inform the employer of what conduct is forbidden by law. More importantly, if recognition of the tort of retaliatory discharge for whistleblowing is intended to encourage appropriate whistleblowing, a vague standard is unlikely to influence a potential whistleblower who does not wish to risk losing employment as a result of making the allegation. See Malin, supra, at 286-87. Given the advantages of precision in the definition of the common-law tort of retaliatory discharge for whistleblowing, and the general reliance of the courts on statutes as the source of public policy supporting the common-law tort of retaliatory discharge,


   </props>
        </property>
    </bean>
    <!-- Run SQL queries in transactions -->
    <tx:annotation-driven />
    <context:annotation-config></context:annotation-config>
    <bean id="transactionManager"
        class="org.springframework.orm.hibernate3.HibernateTransactionManager">
        <property name="sessionFactory" ref="sessionFactory" />
    </bean>

</beans>

Edit1:
After I added this line to my spring configuration file :
<context:component-scan base-package="/" />

It solved that problem, but now I'm getting another error message :
org.springframework.beans.factory.BeanCreationException: Error creating bean with name 'genericDaoImpl' defined in file [C:\Users\Aimad\workspace\.metadata\.plugins\org.eclipse.wst.server.core\tmp0\wtpwebapps\TP_WEB_GestionEtudiants\WEB-INF\classes\tp\generic\dao\GenericDaoImpl.class]: Invocation of init method failed; nested exception is java.lang.IllegalArgumentException: 'sessionFactory' or 'hibernateTemplate' is required
    at org.springframework.beans.factory.support.AbstractAutowireCapableBeanFactory.initializeBean(AbstractAutowireCapableBeanFactory.java:1422)
    at org.springframework.beans.factory.support.AbstractAutowireCapableBeanFactory.doCreateBean(AbstractAutowireCapableBeanFactory.java:518)
    at org.springframework.beans.factory.support.AbstractAutowireCapableBeanFactory.createBean(AbstractAutowireCapableBeanFactory.java:455)
   very fast but may return unexpected extra rows in cases when the searched string is a part of one of the keys.
In Postgres 12 the recursive searching in JSONB is pretty comfortable with the new feature of jsonpath.
Find a string value containing authVar:
select *
from reports
where jsonb_path_exists(params, '$.** ? (@.type() == "string" && @ like_regex "authVar")')

The jsonpath:
$.**                     find any value at any level (recursive processing)
?                        where
@.type() == "string"     value is string
&&


---
abstract: 'We investigate the 70$\,\mu$m Far-Infrared Radio Correlation (FRC) of star-forming galaxies in the Extended Chandra Deep Field South (ECDFS) out to $z$ $>$ 2. We use 70$\,\mu$m data from the Far-Infrared Deep Extragalactic Legacy Survey (FIDEL), which comprises the most sensitive ($\sim$0.8mJy rms) and extensive far-infrared deep field observations using MIPS on the Spitzer Space Telescope, and 1.4GHz radio data ($\sim$8$\,\mu$Jybeam$^{-1}$ rms) from the VLA. In order to quantify the evolution of the FRC we use both survival analysis and stacking techniques which we find give similar results. We also calculate the FRC using total infrared luminosity and rest-frame radio luminosity, $q_{TIR}$, and find that $q_{TIR}$ is constant (within 0.22) over the redshift range 0 - 2. We see no evidence for evolution in the FRC atratio was greater than 0.8 (that is, if the brightest 24$\,\mu$m source contributed $>$80$\%$ of the total flux density in the matching radius), the 70$\,\mu$m emission was determined to be from the brightest 24$\,\mu$m source. If the ratio is less than 0.8, we considered the 70$\,\mu$m source as a candidate for deblending. Using these criteria we determined that 164 sources were deblend candidates. In principle, it is possible that for sources with a ratio of greater than 0.8, we are overestimating the 70$\,\mu$m flux density by up to 20%. An overestimation of the 70$\,\mu$m flux density may result in a higher FRC, but this effect is much less than $\Delta q_{70}$ = 0.1.

The sources were deblended using double, triple or even quadruple Gaussian fits, constraining the centers of


the better resolution of the radio data we used radio positions where available, followed by 24$\,\mu$m positions where available to match to the redshift catalogs.

Where possible we matched spectroscopic redshifts to the sources. Where more than one spectroscopic redshift was available, we chose to prioritize ATLAS spectroscopic redshifts over GOODS spectroscopic data as we have access to the ATLAS spectra. The difference in redshift, $\Delta$z, was $<$0.0015 for the 12 sources in common.

Where no spectroscopic data were available we used photometric redshifts. Where both COMBO-17 and MUSYC photometric redshifts were available we chose to prioritize MUSYC data over COMBO-17 because MUSYC’s photometric redshifts are derived from 32 bands as opposed to COMBO-17, which uses 17. Furthermore, MUSYC has photometric data extending into the near-infrared (JHK), which improves theare at low $q_{70}$ values are likely to be AGN.

We also overplot the expected $q_{70}$ ratio as a function of redshift from IR SED templates of @Dale02 (DH02) and @Chary01 (CE01). The CE01 SED templates are obtained from low-redshift galaxies with appropriate luminosities. We use four CE01 templates which range in L$_{IR}$ from 10$^9$ (normal galaxy) to 10$^{13}$L$_{\odot}$ (ULIRGs). The DH02 SED templates are derived from combining theoretical SEDs from dust emission of individual regions within a galaxy. We use four DH02 templates with $\alpha$= 1, 1.5, 2 and 2.5, where $\alpha$ represents the relative contributions of the different dust emission SEDs. The overplotted $q_{70}$ tracks are derived using the IR SED templates, while the radio flux is derived from the infrared flux assuming both thermal and non-thermal


into a major international hub in New York where it can connect with Air Canada proper. Even if Jazz slashed its fare to just above TTC bus fare, it would not destroy Porter’s market share. Sure, a lot of people would give Jazz a shot, but they will soon realise that 1) the equipment is older and noisier, and 2) departure from YTZ might be faster, but extricating oneself from LaGuardia is still slow and painful due to large passenger volume. Students and cheapskates will be wooed by cheap fares; the suits on Bay Street and downtown dwellers in general—arguably Porter’s primary audience—will not. They will opt for a more pleasant and convenient experience even at a greater cost.

Any airline that hopes to eat Porter’s lunch will havethe pair.

“For the last seven years, we've been turning down the script, turning down the script. Yesterday, we just agreed,” Chan said on ‘The Cruz Show’ Thursday. “The script probably at the end of this month will have a second draft and next year, (we'll) probably start. If Chris Tucker agrees ... “It’s about (having the) time to make ... I tell Chris Tucker, ‘Before we get old, please do ‘Rush Hour 4.’”

Tucker has been out of the spotlight for a while. While he was one of the highest-earning actors during the early 2000s, he hasn’t put out anything recently.

In 2012, he appeared in “Silver Linings Playbook,” and he may be on a comeback tour, as he’s also rumored to be appearing in “Last Friday,” which is a


48 women in metformin group finished the study. The two groups did not show significant difference according to age, body mass index (BMI) of more than 30; mean BMI, AUB, FBS, fasting blood insulin, lipid profile and HOMA index before treatment. After 24 weeks of treatment; BMI >30 [17 (35.4%) versus 7 (15.2%), p = 0.033], mean BMI [(28.36 ± 2.27) versus (27.11 ± 3.55), p = 0.44], number of women with the complain of abnormal uterine bleeding (AUB) [24 (50%) versus 13 (28.3%), p = 0.037], FBS [(90.02 ± 6.24) versus (86.61 ± 7.81), p = 0.021], fasting insulin (10.40 ± 2.64 versus 8.89 ± 2.20, p = 0.004), HOMA Index (2.09 ± 0.69 versus 1.71 ± 0.45, p = 0.001), low density lipoprotein (LDL) (141.83 ±dynasty is:
Siblings and half-siblings, parents, children, grandparents, grandchildren, uncles and aunts, nephews and nieces. However, not all of these are "close enough" to warrant an alliance. We will cover later how to tell if you get an alliance or not, but a sibling, parent or child will give you an alliance (Thanks Studoku).
You can see who is closely related to you by the size of the blood drop in their character portrait. (The main use for this mechanism is to alert you of potential inbreeding, as some times marrying within the dynasty is alright – and some times risky).
Examples:
Below is my half-sister. When you mouse over the blood drop in her portrait, you will see that she is a close member of my Dynasty. (Pardon the cropping here


little cheat notation:
dat[] <- lapply(dat, factor, levels = 1:2, labels = c("Yes", "No"))

There are two add-on packages that provide more Stata-like labelling functionality: labelled and Hmisc, which may be worth exploring. But, in most cases, factors will probably give you what you want.

asked her if she had closed any credit cards lately. It turned out that she had just closed what was most likely her oldest card. I don't see any other reason her credit took such a drop so this must have been the cause._

Gerri told this story to a colleague, who had a very different story. A couple months ago she ran her report and got scores around 570. She had 17 open credit cards and a lot of available credit but not one late payment. She closed 7 credit cards and was smart (or lucky) enough to close the new ones and keep the old ones. A month later her credit score went up to 640.

My guess is that in both cases the change in credit was


if you're entering into a debt management program, typically it's a full payment. You pay off the full balance over time and some interest depending on what's negotiated. Settlements usually come when you end up going into debt settlement or debt negotiation rather than just a standard debt management plan or DMP with a credit counseling agency. So there's a distinction there.

My advice to consumers: If the main goal is to get out of debt, get that monkey off your back and then focus on your credit scores. Don't let that stop you from getting the help that you need, if you need help.

**Tom:** _I agree 100%._

**Gerri:** Tom, when we were talking about bankruptcy, you raised a little issue there that I don't think most people don't knowwith proper Forest Management, would never happen," he wrote. "Unless they get their act together, which is unlikely, I have ordered FEMA to send no more money. It is a disgraceful situation in lives & money!"

More than 80 people died and about 14,000 homes were destroyed in California wildfires last year, according to The San Francisco Chronicle.

Though Trump has pointed at state officials as the culprits for the spate of devastating wildfires, 57 percent of California's 33 million acres of forest are under federal control.

Scientists and fire officials have said climate change — and the dried-out trees and shrubs produced by a changing environment — are the real culprits.

When surveying damage last year in Paradise, California, Trump said raking the forest floor could help limit the spread of


wildfires in the state.

"You gotta take care of the floors. You know the floors of the forest, very important," Trump said. "I was with the President of Finland. He called it a forest nation and they spent a lot of time on raking and cleaning and doing things and they don’t have any problem."

Finnish President Sauli Niinistö said he did not remember making such remarks to Trump, adding that their conversation focused on the surveillance system the country uses to monitor its forests for fires.LOM Financial

LOM Financial is a Bermuda-based financial organization.

History
Founded in 1992, the company is headquartered in Bermuda, with subsidiaries in the UK and Asia. It began operating in the Bahamas in 2000, and the Cayman Islands in 2018. It has been listed on the Bermuda Stock Exchange under the ticker LOM.BX since 2001. In each location, LOM provides “private investment services and products including brokerage, custody, asset management and corporate finance services.” The company was previously called LOM Holdings. The current CEO of the company is Scott Lines, who also became the Chairman of the company after his father, Donald Lines (past President of the Bank of Bermuda) passed.

Business
The company has Stable Income Funds and Fixed Income Funds. By the end of 2017, LOM had $870 million in assets


include a luxury bath with shower, a
balcony, butler and concierge service. There is a living and dining area.
Guests in the Haven receive exclusive access to the Courtyard, Concierge
Lounge, and private restaurant and bar. Family Villas include two bedrooms
and accommodate up to six people. The Owner’s Suite has floor-to-ceiling
windows, a bedroom with a king-size bed, and a whirlpool tub. The
three-bedroom garden villa sleep up to eight and each bedroom has a king or
queen size bed and luxury bath. The villa has a private garden with hot tub.

Java Café

Lotus Garden Restaurant

Cagney's Steakhouse ($)

Select from choice cuts of Black Angus perfectly prepared like
traditional T-bone or tender Prime Rib. Or, order our made-from-scratch
jumbo crab cakes and a side of truffle fries. $30.00 per adult, $15 per
child.

Moderno Churrascaria ($)

Start with an impressive salad- 4*z**2. Calculate the remainder when 8 is divided by n(-18).
2
Suppose 1353 = 15*r - 297. Let a = r + -65. Let f = 68 - a. Calculate the remainder when f is divided by 5.
3
Let u(q) = -8*q**3 + 8*q**2 - 4. Calculate the remainder when 5146 is divided by u(-1).
10
Let q = 107 + -53. Let c = -52 + q. What is the remainder when (c/(-3))/((-8)/84) is divided by 3?
1
Let b = 3882 - 3752. What is the remainder when b is divided by 88?
42
Suppose -3*v + 4*u = 100, -4*v - 2*u - 50 - 54 = 0. Let z(h) = -12*h + 80. What is the remainder when z(v) is divided by 15?
11
Suppose -4*f = -3 - 13. Let l = 128


quiet country lane and sometimes when there is a brief lull I stand outside just to take in the surroundings. We get all sorts of wildlife passing through, deer, squirrels, foxes and once I saw a cock pheasant casually stroll pass the entrance as if he were a customer, it was so funny!

This evening it took me 40 mins to water the plants. I`m sure many of you have gardens that are so terribly dry at the moment so you`ll understand….my soil is like dust and if it doesn`t rain soon I`m worried there be some casualties despite my best efforts.

Changing the subject again….My son has announced that he is going to marry his Brazillian girlfriend in October…we are thrilled for him that at last he is going1. Introduction {#sec1-1}
===============

Gallstone disease is a major health problem in particularly, in developed world ([@ref2]). It is also one of the leading causes of digestion-related hospital admissions with high healthcare costs in these countries ([@ref30]; [@ref9]). For example, in the UK, about 50,000 cholecystectomies are performing in each year and more than two times of that number, patients are admitting to hospital with gallstone-related episodes ([@ref12]).

The frequency of gallstone disease varied amongst different countries and ethnic populations as well as various regions of the countries ([@ref13]). In most developed countries, including UK, US, Italy, and the Scandinavian nations, the overall prevalence of gallstone disease was reported between10% to 20% ([@ref10]; [@ref3]). Additionally, some gallstones studies using ultrasonography reported a prevalence rate of 22% to 54% among these countries


also suggests significant relationship between marital & employment status; Body Mass Index; physical inactivity; number of pregnancies; fruit, vegetable & fish intakes; fatty liver and SGPT with occurrence of gall stone.

Single, widow, and separated subjects had significantly greater prevalence than married ones (7.8% vs. 2.4%) (Odds Ratio = 3.39: 95% CI; 1.16--9.91). Unemployed and housekeeper individuals were more than 4 times likely to have gallstone disease compared to other job categories. Obese population had significantly more gallstone than individuals with normal BMI (Odds Ratio =2.07: 95% CI; 1.07--4.02). Multiparity also associated with a more than 2-fold higher risk of gallstone compared with the participants less than three pregnancies Odds Ratio = 2.25: 95% CI; 1.18--4.30).

There was an inverse relationship between daily physical activity, intake of fruits, vegetables and([@ref17]). Estrogen knows as the primary sex hormone in female. This hormone may increases the cholesterol saturation in bile and it could probably lead to cholesterol gallstone formation ([@ref25]).

Few studies have reported an association between marital status and gallstone disease formation ([@ref6]; [@ref23]) compared to some studies ([@ref11]) which contradict such a relationship. These studies ([@ref6]; [@ref25]) demonstrated that in females, the marriage at earlier age was positively associated with having gallstone diseases, because, the early marriages can lead to have longer fertility periods and higher parity rates. Therefore, the female sex hormones due to fertilities can play excusive role for gallstone formation ([@ref6]; [@ref25]).

However, in the current study, gallstone disease was higher in single, widow, and separated individuals compared to married one. The data showed that in


growth measures.

Using a “virtual control record” methodology, CREDO compared students in third through eighth grade with similar students in traditional public schools from 2007 to 2011. It found 30 percent of New Jersey charters outperformed regular public schools in reading, while 11 percent of charter did worse. In math, 40 percent of charters did significantly better than traditional schools, while 13 percent fared worse.

Special ed students do about the same in charters as in traditional public schools, the study found. English Language Learners in charter schools — a small group — have similar gains in reading and significantly better results in math.

Compared to neighboring schools, New Jersey charter schools enroll nearly twice as many blacks, half as many whites and Asians and somewhat fewer Latinos. The poverty numbersChicago and Louisiana charter schools were the most effective; Ohio charters did the worst.

On average, charter schools receive 78 percent of the funding of district-run public schools. In seven of 16 states studied, charters receive no facilities funding so they must use operating funds to pay for classroom space.

In response to the report, the National Alliance for Public Charter Schools called for requiring annual performance targets in charter contracts and clear legal authority to close underperforming charters. The alliance also wants to hold charter authorizers accountable for the performance of schools they approve to make it harder for poorly conceived schools to shop around for a lax authorizer.

National Alliance will be releasing A New Model Law for Supporting High-Quality Growth for Public Charter Schools next week.

The alliance criticized


attacks as hardliners have gained political dominance, vowing to rule Egypt by Islamic law. Or in Iraq, post-Saddam Hussein, where, according to a report from the U.S. Commission on International Religious Freedom (USCIRF), “Half or more of the pre-2003 Iraqi Christian community is believed to have left the country, with Christian leaders warning that the consequence of this flight may be the end of Christianity in Iraq….”

A February 2007 report from the Assyrian International New Agency, “Christians Fleeing Iraq,” noted that the refugees included a disproportionately high number of Christians — perhaps as many as a third of the total. The article also reported where most of the refugees were heading: “According to United Nations officials, about 2 million Iraqis have fled the country since the start ofwashed, inspected, a spacer with sealing material is applied, the unit is pressed together, trapped air may be removed and a low-conductivity gas such as Argon may be added, and a secondary seal is applied.
Optical inspection of the glass sheets prior to assembly into an IG unit is highly desirable. Once a defective sheet of glass is assembled into an IG unit, the entire IG unit is deemed defective and must be discarded. An IG unit is valued at approximately ten times the value of a single glass sheet. Optical inspection by humans is inconsistent, subject to high error rates and expensive. Automation of the optical inspection process is highly desirable.
A fundamental problem with automated optical inspection relates to the variance in the optical properties of clear glass


use a digital imaging device arranged to inspect the glass. This inspection could be done using illumination that reflects off the glass or transmits through the glass. The focus of the digital imaging device is on the glass sheet and the camera generates signals revealing the quality of the glass.
The use of artificial vision for the automated inspection of transparent materials and glass in particular is currently limited by a lack of effectiveness for the detection of imperfections in and on coated and uncoated glass on the same production line.processor and bus cycles and also serializes some portion of the algorithm.
Message passing processing uses high-speed data communications networks and message buffers, but this communication adds transfer overhead on the data communications networks as well as additional memory need for message buffers and latency in the data communications among nodes. Designs of parallel computers use specially designed data communications links so that the communication overhead will be small but it is the parallel algorithm that decides the volume of the traffic.
Many data communications network architectures are used for message passing among nodes in parallel computers. Compute nodes may be organized in a network as a ‘torus’ or ‘mesh,’ for example. Also, compute nodes may be organized in a network as a tree. A torus network connects the nodes


Misown

Misown (, also Romanized as Mīsown, Mūsīūn, Mesīūn, and Mūsīyon) is a village in Zaz-e Gharbi Rural District, Zaz va Mahru District, Aligudarz County, Lorestan Province, Iran. At the 2006 census, its population was 25, in 4 families.

References

Category:Towns and villages in Aligudarz CountyNew community center to offer free legal clinics

For Port Jervis residents who want to teach a skill they know or learn a skill they don't — whether it's how to start a business or how to crochet — a new community center opening Sept. 14 at the corner of Fowler and Front streets may be the place to be.

Comment

By Jessica Cohen

recordonline.com

By Jessica Cohen

Posted Sep. 6, 2013 at 2:00 AM

By Jessica Cohen
Posted Sep. 6, 2013 at 2:00 AM

» Social News

For Port Jervis residents who want to teach a skill they know or learn a skill they don't — whether it's how to start a business or how to crochet — a new community center opening Sept. 14 at the corner of Fowler and Front streets may be the place


to be.

The Port Jervis group Citizens for Our Healthy Community was formed two years ago by local activists trying to keep Bon Secours Community Hospital's maternity ward open. They have long discussed their vision of a community center as a junction for information and skills exchange.

Valerie Maginsky, a founding member, was one of several members at the center on a recent Saturday, working to transform Hairway to Heaven at 11 Fowler St. into a locale for community gatherings.

"I walked around for six months, looking for something suitable," Maginsky said. "Many people in Port Jervis walk. I wanted the center to be downtown where people are. And this has a back office for legal clinics twice a month."

Civil rights attorney Michael Sussman, who is funding the center and whoare:

1.  What is the maximum surface measure $m_0(S^{n-1})$ that a subset of the unit sphere $S^{n-1} = \{\, x \in {\mathbb{R}}^n : \|x\| = 1\,\}$ can have if it does not contain pairs of orthogonal vectors?

2.  What is the maximum density $m_1({\mathbb{R}}^n)$ that a subset of ${\mathbb{R}}^n$ can have if it does not contain pairs of points at distance $1$?

Problem (P1) was posed by Witsenhausen [@Witsenhausen1974]. Two antipodal spherical caps of radius $\pi/4$ form a subset of $S^{n-1}$ with no pairs of orthogonal vectors and Kalai [@Kalai2015 Conjecture 2.8] conjectured that this construction is optimal, that is, that it achieves $m_1(S^{n-1})$; this conjecture remains open for all $n \geq 2$. Problem (P1) will be considered in depth in §\[sec:sn-bounds\], where many upper bounds for $m_0(S^{n-1})$ will be improved.

Problem (P2) figures in Moser’s collection of problems [@Moser1991] and was popularized by Erdős,


that, as the distances $d_1$, …, $d_N$ space out, so does $m_{d_1, \ldots, d_N}({\mathbb{R}}^n)$ approach $(m_1({\mathbb{R}}^n))^N$. This precise asymptotic result can be recovered from  by using functions of completely-positive type in a systematic way that can provide precise analytic results. Another result of Bukh (ibid.) that can be proved using this approach is the Turing-machine computability of $m_1({\mathbb{R}}^n)$. Using our convex formulation one can in principle extend this computability result to distance-avoiding sets in other geometric spaces.

Outline of the paper
--------------------

The main theorem proved in this paper is Theorem \[thm:cp-exactness\], from which Theorem \[thm:main-intro\] follows. Theorem \[thm:cp-exactness\] is stated in terms of graphs on topological spaces and is much more general than Theorem \[thm:main-intro\]. It has a rather technical statement, but it is in fact a natural extension of a well-known result in combinatorial optimization, namely\times
S$. Now $V \times V \setminus S \times S$ is closed, and so $\operatorname{cl}E
\subseteq V \times V \setminus S \times S$, whence $\operatorname{cl}E \cap (S
\times S) = \emptyset$ and $\operatorname{cl}E \cap (I \times I) = \emptyset$, that is, $I$ is independent in $G'$.

A conic programming formulation for the independence number {#sec:conic}
===========================================================

One of the best polynomial-time-computable upper bounds for the independence number of a finite graph is the theta number, a graph parameter introduced by Lovász [@Lovasz1979]. Let $G = (V, E)$ be a finite graph. The theta number and its variants can be defined in terms of the following *conic programming problem*, in which a linear function is maximized over the intersection of a convex cone with an affine subspace: $$\label{eq:finite-conic-prog}
{{\arraycolsep=0pt  \begin{array}{r@{\ }l@{\quad}l}

\text{maximize}&\langle J, A\rangle\\
&\operatorname{tr}A = 1,\\
&A(x, y) = 0&\text{if~$(x,


A(\sigma x_0, \sigma x_0)\, d\mu(\sigma) &= \int_V
\int_\Gamma A(\sigma x, \sigma x)\, d\mu(\sigma) d\omega(x)\\
&=\int_\Gamma \int_V A(\sigma x, \sigma x)\, d\omega(x) d\mu(\sigma)\\
&=\int_V A(x, x)\, d\omega(x),
\end{split}$$ as we wanted. Similarly, one can prove that $\langle\Phi(A), \Phi(B)\rangle = \langle A, B\rangle$; in particular, for all $A$, $B \in L^2(V \times V)$ we have $\|\Phi(A)\| = \|A\|$ and we see that $\Phi$ is a bounded operator.

Now let $A$ be a feasible solution of $\vartheta(G, {\mathcal{C}}(V))$. Claim: $\Phi(A)$ is a feasible solution of $\vartheta(\operatorname{Cayley}(\Gamma,
\Sigma_{G,x_0}), {\mathcal{C}}(\Gamma))$.

Indeed, $\int_\Gamma \Phi(A)(\sigma, \sigma)\, d\mu(\sigma) =
1$. If $\sigma$, $\tau \in \Gamma$ are adjacent in the Cayley graph, then $(\sigma x_0, \tau x_0) \in E$, so that $\Phi(A)(\sigma, \tau) = A(\sigma x_0, \tau x_0) = 0$. So it remains to show that $\Phi(A) \in {\mathcal{C}}(\Gamma)$.

Note $A$ is the limit, in the norm topology, of a sequence $(A_n)$, where each $A_n$ is a finiteto its symmetrization: for $A \in L^2(V \times V)$, $${R}(A)(x, y) = \int_\Gamma A(\sigma x, \sigma y)\,
d\mu(\sigma)$$ almost everywhere[^3] in $V \times V$. The operator is defined given a group that acts on $V$; the group and its action will always be clear from context. The Reynolds operator is self adjoint, that is, $\langle {R}(A), B\rangle = \langle A, {R}(B)\rangle$.

\[lem:reynolds-continuous-easy\] If $V$ is a compact space, if $\Gamma$ is a compact group that acts continuously and transitively on $V$, and if $V$ is metrizable via a $\Gamma$-invariant metric, then for every continuous $A\colon V \times
V \to {\mathbb{R}}$ the kernel ${R}(A)$ is also continuous.

Here we say that a metric $d$ on $V$ is [*$\Gamma$-invariant*]{} if $d(\sigma x, \sigma y) = d(x, y)$ for all $x$, $y \in V$ and $\sigma \in \Gamma$.

If $d$ is a $\Gamma$-invariant metric on $V$, then $$d((x, y), (x', y')) =


reverse inequality we use the following lemma.

\[lem:ind-set-from-solution\] Let $G = (V, E)$ be a locally-independent graph where $V$ is a compact Hausdorff space, $\Gamma \subseteq \operatorname{Aut}(G)$ be a compact group that acts continuously and transitively on $V$, $\omega$ be a multiple of the pushforward of the Haar measure on $\Gamma$, and assume $\Gamma$ is metrizable via a bi-invariant density metric for the Haar measure. If $A$ is a feasible solution of $\vartheta(G, {\mathcal{C}}(V))$, then there is a measurable independent set in $G$ with measure at least $\langle J, A\rangle$.

In view of Lemmas \[thm:cayley-vertex-transitive-equiv\] and \[thm:theta-params-cayley-relation\], it is sufficient to prove that, if $\Sigma \subseteq \Gamma$ is a connection set such that $\operatorname{Cayley}(\Gamma, \Sigma)$ is a locally-independent graph and if $A$ is a feasible solution of $\vartheta(\operatorname{Cayley}(\Gamma, \Sigma), {\mathcal{C}}(\Gamma))$, then there is an independent set in $\operatorname{Cayley}(\Gamma, \Sigma)$ of measure atsuch that $$A(x, y) = g(x - y)\qquad\text{for all~$x$, $y \in V_L$}.$$ Then:

1.  $g$ is continuous;

2.  since $L > 2r$, if $x \in {\mathbb{R}}^n$ is such that $\|x\| \in D$, then $x$ lies in the fundamental domain of $L{\mathbb{Z}}^n$ with respect to the canonical basis vectors, and so $g(x) = A(0, x) = 0$ since $0$ and $x$ are adjacent in $G_L$;

3.  since $A \in {\mathcal{C}}(V_L)$, using Theorem \[thm:finite-subkernel-condition\] we see that $g \in {\mathcal{C}}({\mathbb{R}}^n)$;

4.  since $A$ is invariant, its diagonal is constant, and then since $\operatorname{tr}A = 1$ we have $g(0) = (\operatorname{vol}V_L)^{-1}$.

This all implies that $f = (\operatorname{vol}V_L) g$ is a feasible solution of $\vartheta(G, {\mathcal{C}}({\mathbb{R}}^n))$; all that is left to do is to compute $M(f)$. Since $g$ is periodic, its mean value is the integral of $g$ on the fundamental domain $F$ of the periodicity lattice divided by the volume


{\mathbb{R}}$ by setting $$\psi_i(x) =
\begin{cases}
  \phi_i(x)&\text{if $x \in W'_L$};\\
  0&\text{otherwise}.
\end{cases}$$ Then $$F(x, y) = \sum_{i=1}^\infty \lambda_i \psi_i(x) \psi_i(y)
= \sum_{i=1}^\infty \lambda_i (\psi_i \otimes \psi_i^*)(x, y).$$ We show now that the series $$\sum_{i=1}^\infty \lambda_i {R}(\psi_i \otimes \psi_i^*)(x, y)$$ converges absolutely and uniformly over $V_L \times V_L$ and, since ${R}(\psi_i \otimes \psi_i^*)$ is continuous by Lemma \[lem:reynolds-continuous\], this will imply that ${R}(F)$ is continuous.

For $u \in V_L$ and $\psi\colon V_L \to {\mathbb{R}}$, write $\psi_u$ for the function such that $\psi_u(x) = \psi(x + u)$. Then $${R}(\psi_i \otimes \psi_i^*)(x, y)
= \frac{1}{\operatorname{vol}V_L} \int_{V_L} \psi_i(x+z) \psi_i(y+z)\, dz
= ((\psi_i)_x, (\psi_i)_y).$$ Now $|((\psi_i)_x, (\psi_i)_y)| \leq \|\psi_i\|^2 \leq \|\phi_i\|^2 =
1$, so $$\sum_{i=1}^\infty |\lambda_i ((\psi_i)_x, (\psi_i)_y)| \leq
\sum_{i=1}^\infty \lambda_i < \infty,$$ establishing absolute convergence. For uniform convergence, note that given $\epsilon > 0$ there is $m \geq 1$ such that $\sum_{i=m}^\infty
\lambda_i < \epsilon$. But then $$\sum_{i=m}^\infty |\lambda_ithat $d_V$ is a $\Gamma$-invariant metric; we show now that it induces the topology on $V$.

To this end, for $x \in V$ consider the closed ball with center $x$ and radius $\delta \geq 0$, namely $$\begin{split}
  {\overline{B}}_V(x, \delta) &= \{\, y \in V : d_V(x, y) \leq \delta\,\}\\
  &= \{\, \sigma x : \text{$\sigma \in \Gamma$ and $d_\Gamma(1,
    \sigma) \leq \delta$}\,\}\\
  &= p_x({\overline{B}}_\Gamma(1, \delta)).
\end{split}$$ Notice that this ball is closed since ${\overline{B}}_\Gamma(1, \delta)$ is closed and $p_x$ is a closed map. We show now that the collection of finite unions of such balls is a base of closed sets of the topology on $V$, and it will follow that the metric $d_V$ induces the topology on $V$.

Let $X \subseteq V$ be a closed set and take $x \notin X$. Note $p_x^{-1}(X)$ and $p_x^{-1}(\{x\})$ are


compact and disjoint, so that $$\delta = d_\Gamma(p_x^{-1}(X), p_x^{-1}(\{x\})) > 0.$$ Since $p_x^{-1}(X)$ is compact, it can be covered by finitely many closed balls of radius $\delta / 2$, say ${\overline{B}}_\Gamma(\sigma_i, \delta / 2)$ with $\sigma_i \in p_x^{-1}(X)$ for $i = 1$, …, $N$; moreover, by the definition of $\delta$, we have that $p_x^{-1}(\{x\})$ is disjoint from each such ball. But then $$X \subseteq p_x(p_x^{-1}(X)) \subseteq \bigcup_{i=1}^N
p_x({\overline{B}}_\Gamma(\sigma_i, \delta/2)) = \bigcup_{i=1}^N p_{\sigma_i
  x}({\overline{B}}_\Gamma(1, \delta/2)) = \bigcup_{i=1}^N {\overline{B}}_V(\sigma_i x,
\delta/2)$$ and $x \notin \bigcup_{i=1}^N {\overline{B}}_V(\sigma_i x, \delta/2)$. We have showed that given any closed set $X \subseteq V$ and any $x \notin X$ there is a finite union of $d_V$-balls that contains $X$ but not $x$, that is, finite unions of $d_V$-balls form a base of closed sets of the topology on $V$.

Since ${\mathrm{BQC}}(V) \subseteq {\mathcal{C}}(V)$, from Theorem \[thm:cp-exactness\] it suffices to show that Boolean-quadratic cone that generalizes the class of clique inequalities introduced by Padberg [@Padberg1989].

Let $G = (V, E)$ be a finite connected graph with at least two vertices. We say that $G$ is [*$\alpha$-critical*]{} if $\alpha(G - e) > \alpha(G)$ for all $e \in E$; $\alpha$-critical graphs have been extensively studied in the context of combinatorial optimization [@Schrijver2003 §68.5].

Assume $\emptyset \notin V$ and write $W = V \cup \{\emptyset\}$. Consider the matrix $Q_G\colon W \times W \to {\mathbb{R}}$ defined as $$Q_G(x, y) = \begin{cases}
  \alpha(G)&\text{if $x = y = \emptyset$;}\\
  -1/2&\text{if $x = \emptyset$ or~$y = \emptyset$;}\\
  1/2&\text{if $(x, y) \in E$;}\\
  0&\text{otherwise}.
\end{cases}$$

Let $G = (V, E)$ be a finite graph with at least two vertices, and assume $\emptyset \notin V$. The inequality $\langle Q_G, A\rangle \geq 0$ induces a facet of ${\mathrm{BQC}}(W)$, where $W


  &\int_0^\infty r(t)\, d\alpha(t) \geq \beta\quad\text{for $(r,
      \beta) \in {\mathcal{R}}$},\\[5pt]
  &\begin{pmatrix}
     1&\ \alpha([0, \infty))\\
     \alpha([0, \infty))&\ \alpha(\{0\})
   \end{pmatrix}\text{ is positive semidefinite,}\\[8pt]
  &\text{$\alpha$ is a finite Borel measure on~$[0, \infty)$.}

  \end{array}}}$$

A dual for this problem is the following optimization problem on variables $\lambda$, $y(r, \beta)$ for $(r, \beta) \in {\mathcal{R}}$, and $z_1$, $z_2$, $z_3$: $$\label{eq:unit-distance-rn-dual}
{{\arraycolsep=0pt  \begin{array}{r@{\ }l@{\quad}l}
    \text{minimize}&z_1 + \sum_{(r, \beta) \in {\mathcal{R}}} y(r, \beta)
  \beta\\[5pt]
    &\lambda + \sum_{(r, \beta) \in {\mathcal{R}}} y(r, \beta) r(0) + z_2 +
  z_3 \geq 1,\\[5pt]
    &\lambda \Omega_n(t) + \sum_{(r, \beta) \in {\mathcal{R}}} y(r, \beta)
  r(t) + z_2 \geq 1\quad\text{for~$t > 0$,}\\[5pt]
  &\begin{pmatrix}
 d\alpha(t)\\
  &\geq z_1 + \alpha(\{0\})(-z_3) + \int_0^\infty 1 - \lambda
  \Omega_n(t) - z_2\, d\alpha(t)\\
  &=z_1 - z_3 \alpha(\{0\}) + (1-z_2) \alpha([0, \infty))
  - \lambda\int_0^\infty \Omega_n(t)\, d\alpha(t)\\
  &=z_1 - z_3 \alpha(\{0\}) -z_2 \alpha([0, \infty)) +
  \alpha([0,\infty))\\
  &\geq \alpha([0, \infty)),
\end{split}$$ as we wanted.

The second reason for considering the dual is that it is a semidefinite programming problem with finitely many variables, though infinitely many constraints, including one constraint for each $t > 0$. In practice, we discretize the set of constraints and solve a finite semidefinite programming problem, later on proving that a suitable modification of the solution found is indeed feasible for the infinite problem, as we discuss now.

Finding feasible dual solutions and checking them {#sec:rn-finding-solutions}
-------------------------------------------------

To find good feasible solutions of , we


with  we see that, for all $t \geq L$, $$\label{eq:g-big-estimate}
  |g(t)| \leq M (\epsilon / M) = \epsilon.$$ Given $t \in [0, L]$, there is $s \in {\mathcal{S}}$ such that $|t-s| \leq
\epsilon / (M D)$. Then using the mean-value theorem, the Cauchy-Schwarz inequality, and  we get $$\label{eq:g-small-estimate}
  |g(t) - g(s)| \leq |t-s| M D \leq \epsilon.$$ Since $\lambda + g(s) \geq 0$, we then have that $\lambda + g(t) \geq
-\epsilon$.

Estimates  and  together show that $\lambda + \epsilon$, $z$, and $y$ is a feasible solution of . We now find a solution of $\vartheta_N$, defined in , of value close to it.

To do so, notice that if $\epsilon$ is small enough, then  implies in particular that $\lambda > -1$, or else $\lambda + g(L) < 0$, a contradiction. Since our solution is optimal, we must also have $\lambda < 2$ (notice $\lambda =In the top left cell, people are willing to accept less than the expected value of a gamble to lock in a sure thing. We all know “something” is better than “nothing.”

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