X-ray fluorescence (XRF) findings support the XRD results. The phase composition — wt% for each of the identified phases — results obtained from the Rietveld method revealed that the inorganic part (i.e., non-hydrocarbon) present in the sludge from the suction strainer for pumps (XRPD-B) consisted of 78.4 wt% of calcium carbonate in the form of CaCO3, 10.6 wt% of formation sandstone or sand in the form of SiO2, 7.8 wt% of drilling mud in the form of BaSO4, and 3.1 wt% of barium silicate (sanbornite (BaSi2O5)), Figure 4(a).

Moreover, the phase composition (wt% for each of the identified phases) results obtained from the Rietveld method revealed that the inorganic part (i.e., non-hydrocarbon) present in the sludge from the water recycle pump (XRPD-C) consisted of 53.6 wt% of BaSO4, 20.0When you know your boyfriend is busy, avoid bothering him with petty things. If you need to leave a message, make sure that you keep it brief and concise on what you really want to say. Leave the parts that are unimportant for later on when he's not busy anymore. Just let him know you love him, or are thinking of him, and leave him with a smile.

Should I expect my boyfriend to text me Goodnight when out with friends?

If he's busy, should I disturb him, or just let him have his fun with friends? What if I'm busy? Should I expect him to send me a text message?

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there is no one who yearns to love you as I do. It consumes my every waking moment, yet you are always busy. Have you not even a single evening, that I might make my love for you known?

For days and weeks on end, I've patiently waited to speak with you. All the while my love has been building, and now I fear it will break free and consume us both. Please, I beg of you, come to me.

The only time I feel safe is when your arms are around me. Right now I don't feel safe, because I can't feel your arms around me. Please, hold me. I miss you, and I need your love.

Just one man has ever touched my heart, and that was you. Yourfavorite dinner, followed by a back rub, and maybe a hot bath. Could you bring some wine home with you?

It's strange how empty the house seems when you're not around. Somehow your presence and your laughter just fills the house, and it also fills me with joy. I miss you. I miss your footsteps. <3

Hi,, just thinking of you. I do that, you know. Miss you!

I know you're busy with work, but I thought you could use a smiley :)

I spend all night with you you, and then think about you all day. Miss you!

Most of the time I love you more than anything else. The other times, well… you bring me flowers and chocolate. What's a girl to do?

Hi Honey. I know you're pretty busy at work,


you're having a great day! <3

Hi,, I was just letting you know I was thinking about you.

Couldn't stop myself from smiling when I was thinking of you.

I'm always amazed at how energetic you are when you see me, because I know how hard you work. Miss you.

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I love that you work hard, but I love it even more when you play hard. Hurry home, I miss you!

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If there were more hours in the day, I'd bring you lunch and make sure every day was a good day for you. Love you.

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Nothing you do says I love you more than when you play with my hair.

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hold me. I miss you, and I need your love.

I used to feel your love like the sun. You were so sweet, and I felt so warm with you, but lately I feel cold, and you're so distant. I love you. Please, come back to me.

In all the world, I only wanted to be yours, and I was, but now I feel like you don't want me anymore. I feel cold, and lonely. Where are you my love? What happened to your sweet caresses?

It's so hard to be next to you when I feel like I'm so far away from you. Once upon a time you were so sweet and kind, but you've grown cold. What can I do to warm you sweet heart once more?

Just one manschool security policy was passed by the School Board last spring, the District must develop and implement policies that not only provide options for students who express this type of behavior, but also protection and other measures for the teachers, staff and students who bear the brunt of their rage.”

The video has gone viral with growing numbers of over 800,000 views total on multiple platforms.


in 2008, where "Commander Seyfullah" warns Muslims not to bring their children to the 2008 Summer Olympics, and also saying "do not stay on the same bus, on the same train, on the same plane, in the same buildings, or any place the Chinese are".

Terrorism expert Rohan Gunaratna has said that ETIM is closely associated with the World Uyghur Congress (WUC), and that there are "many sympathizers and supporters" of ETIM in the WUC. China has accused the WUC of orchestrating the 2009 ethnic violence in Urumqi; similarly, Gunaratna said that one of ETIM's aims is to "fuel hatred" and violence between the Han and the Uyghur ethnic groups, adding that it represented a threat to China and the Central Asia region as a whole.

Structure
In October 2008,cooperating with international groups. New York Times correspondent Edward Wong says that ETIM "give[s] them a raison d'être at a time when the Chinese government has... defused any chance of a widespread insurgency... in Xinjiang."
 Several attacks in 2011 in Xinjiang were claimed by the Turkistan Islamic Party.
 In October 2013, a suicide attack in Tiananmen Square caused 5 deaths and 38 injuries. Chinese police described it as the first terrorist attack in Beijing's recent history. Turkistan Islamic Party later claimed responsibility for the attack.
 In March 2014, a group of knife-wielding terrorists attacked passengers at the Kunming's railway station resulting in 31 civilians dead and +140 injured. No group stepped forward to claim responsibility, However Xinhua News Agency and government of Kunming said that the attack had


Introduction
============

Yeast cells remodel a large fraction of their transcriptome to acclimate to the new conditions following environmental shock. Such stressful conditions trigger a common expression program called the environmental stress response (ESR), which includes increased expression of stress-defense genes and reduced expression of protein-synthesis and growth-related messages ([@b17]; [@b8]) that are synthesized at high levels during active growth ([@b36]). Increased abundance of stress-defense genes is important for surviving subsequent stressful insults ([@b4]), while the role of transcript reduction in the ESR is less clear. It has been observed that the abundance of stress-reduced transcripts correlates with growth rate under some ([@b28], [@b29]; [@b48]; [@b7]) but not all ([@b17], [@b16]) conditions, leading to the hypothesis that transcript reduction contributes to resource conservation during stress defense. However, the precise functionthe many proteins with short half-lives ([@b3]). While the measured changes in mRNA abundance may be influenced by untranslated mRNAs, prior evidence suggests that the majority of most transcripts are associated with ribosomes ([@b2]), indicating that our measurements largely reflect the translated pool of mRNAs in the cell. Regardless, we conclude that the NaCl-activated reduction in transcript abundance serves another role besides mediating changes in protein abundance.

Dynamic modeling suggests alternate roles of transcript reduction
-----------------------------------------------------------------

We devised a mass-action kinetic model to describe dynamic protein changes, in which protein abundance is a function of new synthesis and of disappearance through degradation and cell division. To calculate translation rates for each protein, we used global measurements of basal protein abundances and protein half-lives as reported by [@b19] and [@b3], respectively, along


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LeftMouseDownAction=[!SetOption #CURRENTSECTION# FontColor "#Color_Scheme2#50"][!UpdateMeter #CURRENTSECTION#][!Redraw]

[WeightSort]
meter=String
Text=
FontSize=12
FontFace=Typicons
FontColor=#Color_Scheme2#50
X=30
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StringAlign=LeftCenter
LeftMouseUpAction=[!WriteKeyValue Variables DefaultSort "weight"][!CommandMeasure "MEASURE_COMPLETION_SCRIPT" "defaultSort = 'weight'; curPage = 1; setIcon(weightSort(curTable)); pageButton(0)"]
Group=SortButton
ToolTipText=Sort by most frequently used
AntiAlias=1

[AlphabetSort]
meter=String
Text=
FontSize=16
FontFace=Typicons
FontColor=#Color_Scheme2#50
X=10R
Y=r
StringAlign=LeftCenter
LeftMouseUpAction=[!WriteKeyValue Variables DefaultSort "alphabet"][!CommandMeasure "MEASURE_COMPLETION_SCRIPT" "defaultSort = 'alphabet'; curPage = 1; setIcon(alphabetSort(curTable)); pageButton(0)"]
Group=SortButton
ToolTipText=Sort by name
AntiAlias=1

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meter=String
Text=
FontSize=16
FontFace=Typicons
FontColor=#Color_Scheme2#50
X=(#Width# - 30)
Y=r
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MouseOverAction=[!SetOption #CURRENTSECTION# FontColor "#ButtonSelectedColor#"][!UpdateMeter Reload][!Redraw]
MouseLeaveAction=[!SetOption #CURRENTSECTION# FontColor "#ButtonNotSelectedColor#"][!UpdateMeter Reload][!Redraw]
LeftMouseUpAction=[!CommandMeasure "MEASURE_COMPLETION_SCRIPT" "reloadProgram()"]
Group=SortButton
ToolTipText=Reload programs list
AntiAlias=1
taken. Recent events – the sabotage acts at al-Fujairah (the Emirates), the attack on Aramco pipeline, the attacks on two tankers in the Gulf of Oman, and the US Central Command video purporting to show Iranian boat personnel removing an unexploded Limpet mine from Kokuka Courageous – have already given the US ample pretexts for war, if the US were looking for war. If this were the case, President Donald Trump would have already ordered his military to conduct precision missile strikes similar to the attack he ordered against Syria or at least a punitive airstrike together with his close European partners. Or perhaps even prepared his army to go to war as George W. Bush did with Iraq in 2003.

The reason Trump has refrained from launching any


TV series as Joe Mangel (1988–1991, 2005)
 Nirvana Street Murder (1990) as Boady
 Golden Braid (1990) as Punk
 Greenkeeping (1992) as Lenny
 The Villa (1999) TV series as Narrator (1999–2000)
 Distant Shadow (1999) as The Landlord
 The Rat Trap (1999)
 Motion (2001) as Foreman
 Summer Rain (2001) as Travel Agency Manager
 Blackball (2003) as Mark Doohan
 Casualty (2008) as Gary Forrester
 Emmerdale (2008) as Jonty DeLorean
 Whites (2010) as Darryl Sommers
 Neighbours 30th: The Stars Reunite (2015) as Himself
 The Program (2015) as Rupert Guinness
 Dancing on Ice (2019) as Himself

References

External links
 themarklittle.com — Little's website

Category:1959 births
Category:Living people
Category:Australian male comedians
Category:Australian male soap opera actors
Category:Male actors from Brisbane
Category:Australian expatriates in the United KingdomSad! Celebrating Donald Trump's 73rd Birthday With Arizona Art Facebook

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Sad! Celebrating Donald Trump's 73rd Birthday With Arizona Art As Donald Trump celebrates his 73rd birthday, we're taking a look back at some of the best Trump-inspired art we've seen around the Valley in recent years. One artist painted Trump reclining in a pink bathrobe. Another gave him a mustache with horrific historical overtones. Here's the way local creatives, and a few others, see Trump — in all his narcissistic glory. Happy birthday, Mr. President. Up Next: 'Celebrating the Life of Chester Bennington, a Photo Exhibit by Jim Louvau'


None,
  doubles: Option[Array[Double]] = None,
  asciis: Option[String] = None,
  metadata: Option[String] = None,
  gdalInternalNoData: Option[Double] = None
)

object GeoTiffTags {
  implicit val geotiffTagsDecoder: Decoder[GeoTiffTags] = deriveDecoder[GeoTiffTags]
  implicit val geotiffTagsEncoder: Encoder[GeoTiffTags] = deriveEncoder[GeoTiffTags]
}    }
    }
  ]
}
25860 1575324227209 httpcache-v1
Method: POST
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Body:+152
{
  "chunkNumber": 0,
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    "stack": []
  },
  "limit": 50,
  "pageId": "f1c4a866-22c8-4c3f-b26e-1665c2a8215a",
  "verticalColumns": false
}
Response:+25619
{
  "cursor": {
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  "recordMap": {
    "block": {
      "003193d2-f347-4ac7-8443-9d86c92c5255": {
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        "value": {
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          "created_by": "bb760e2d-d679-4b64-b2a9-03005b21870a",
          "created_by_id": "bb760e2d-d679-4b64-b2a9-03005b21870a",
          "created_by_table": "notion_user",


Q:

JPA's bulk update works when changing the object?

Normally, if I change an object mapped with @Entity, it will be persisted at the end of transactional methods, even if I don't call any save methods.
I'm doing a bulk update for performance reasons using the EntityManager#CriteriaUpdate from JPA, but I need to trigger some events in the setters of the objects, so I set them, but don't call the save method.
What I want to know is if the bulk update is useful if I change the object, or each object will be persisted, even though the bulk update is executed?
PgtoDAO:
public void bulkUpdateStatus(List<Long> pgtos, Long newStatusId) {
  CriteriaBuilder cb = this.manager.getCriteriaBuilder();

  CriteriaUpdate<Pgto> update = cb.createCriteriaUpdate(Pgto.class);
  Root e = update.from(Pgto.class);

  update.set("status", newStatusId);
  update.where(e.get("id").in(pgtos));

  this.manager.createQuery(update).executeUpdate();

}

PgtoService:
@Transactional(readOnly = false)
publicon and develop. If there are any people who think they have the qualities to run a team, please give a call."

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Big boys take and give nothing back

Independent.ie

The notice on the website says it all. "The soccer school is in dire need of new coaches who are enthusiastic about running a football team or just helping out with the Saturday morning sessions. We have several groups in need of good solid leadership and an ambition to take on and develop. If there are any people who think they have the qualities to run a team, please give a call."

They may have been suddenly catapulted into the spotlight following the meteoric rise of their latest product for Manchester United but Fletcher Moss Rangers are facing the same kind of


prolactin, HPL, and CMPF in the late-2nd/early-3rd trimester, followed by an oral glucose tolerance test (OGTT) at 3 months postpartum that enabled assessment of glucose tolerance, insulin sensitivity/resistance, and β-cell function (Insulin Secretion-Sensitivity Index-2 [ISSI-2]). The postpartum OGTT identified 301 women with normal glucose tolerance (NGT) and 66 with prediabetes or diabetes. Serum prolactin in pregnancy was higher in women with postpartum NGT compared with those with postpartum prediabetes/diabetes (mean 98.2 vs. 80.2 ng/mL, P = 0.0003), whereas HPL and CMPF did not differ between the groups. On multiple linear regression analyses, antepartum prolactin was an independent determinant of postpartum ISSI-2 (β = 0.0016, t = 2.96, P = 0.003). Furthermore, higher serum prolactin in pregnancy independently predicted a lower risk of postpartum prediabetes/diabetes (odds ratio 0.50, 95%is not Internet. Third, the
Internet is still primarily latin-1, not UTF-8, despite all the Unicode
hype. Fourth, UTF-8 can be a poor internal representation for Unicode
if the application does any amount of text processing, since strings
must be parsed just to find the length of a character, and an UTF-8
character cannot be stored in a variable (be it a char variable or an
unsigned long). UCS-something can be better internally. Look at the
Emacs internals if you don't believe me. So far Emacs uses another
multi-byte encoding than UTF-8, but in this regard the principle is the
same.
>> The choice of internal character set in the application is up to the
>> application developer, not to us.
>
> Of course, as it they, not us, who live with that choice.
If with 'live with' you mean 'won't


+ -1338. Let x = -0.5 - -1.5. Let s = x + -2. Which is smaller: b or s?
b
Let v be 1 - 7 - 4*(-34)/8. Suppose -31 = 2*y - 5*h - 10, -v = 2*y - 3*h. Which is smaller: 18/11 or y?
18/11
Let m = 58 - 152. Let b = -93 - m. Is 5 <= b?
False
Let s = -1225.5 - -1228.5. Is s at most -1/835?
False
Let p be (5/(-5))/((-5)/25). Suppose 4*j - 3*j = -p*u - 46, 0 = -j - 3*u - 40. Is j less than or equal to -31?
True
Let b = 95 - 95. Suppose -183 = d + 2*q - 29, b = -d + q - 142. Is -146 at most d?
True
Let m = -25182 - -25182. Do- 252.2. Do -1 and x have different values?
True
Let b = 7305 + -29241/4. Is -5 at least b?
True
Let t be ((-12)/16)/(2/(0 - -736)). Let z = 281 + t. Is z > -2/13?
True
Let g(h) = 2*h**2 - 124*h - 263. Let c be g(55). Which is smaller: c or -1036?
-1036
Suppose 0 = r - 4*o, 0*r - 5*r - 5*o + 25 = 0. Let a = 1513 - 1513. Suppose -r*c = s + 7, -s + a*s - 5*c - 9 = 0. Which is smaller: s or -1/53?
-1/53
Suppose -3*h = z - 64, -5*h + 2*h - 331 = -4*z. Let x be z/(-36) - 1/4. Suppose 74*i = 69*i + 3*q, 2*q + 4 = 2*i. Is i < x?
True
Let f(g) be the


= getResources().openRawResource(R.raw.media_b);
    InputStream in2 = getResources().openRawResource(R.raw.media_c);

    byte[] arrayMusic1 = null;
    arrayMusic1 = new byte[in1.available()];
    arrayMusic1 = createMusicArray(in1);
    in1.close();

    byte[] arrayMusic2 = null;
    arrayMusic2 = new byte[in2.available()];
    arrayMusic2 = createMusicArray(in2);
    in2.close();

    byte[] output = new byte[arrayMusic1.length];

    audioTrack.play();

    for (int i = 0; i < output.length; i++) {
        float samplef1 = arrayMusic1[i] / 128.0f;
        float samplef2 = arrayMusic2[i] / 128.0f;
        float mixed    = samplef1 + samplef2;

       // reduce the volume a bit:
        mixed *= 0.8;
        // hard clipping
        if (mixed > 1.0f)  mixed = 1.0f;
        if (mixed < -1.0f) mixed = -1.0f;

        byte outputSample = (byte) (mixed * 128.0f);
        output[i]         = outputSample;
    }

    audioTrack.write(output, 0, output.length);
    convertByteToFile(output);
}

public static byte[] createMusicArray(InputStream is) throws IOException {

    ByteArrayOutputStream baos = new ByteArrayOutputStream();
    byte[] buff


of Lev Tahor, her brother Nachman Helbrans, is more extreme than her father had been, and, as a result, she fled from the group," reads the statement.

She was granted temporary sole custody of her six children, as well as a protective order against their father, who is not named.

U.S. Attorney Geoffrey S. Berman writes that earlier this month, the 12 and 14-year-old were the target of a "terrifying kidnapping" in the middle of the night, and that after a three-week search, the two children were located by U.S. and Mexican authorities and returned to the United States.

The release goes on to say that Jacob Rosner, 20, "is considered within Lev Tahor to be the husband of the 14-year old" kidnapping victim.

All four men were charged with kidnapping andSolve y*t = 6*t + 4 for t.
-1
Suppose -3*z = -27 + 6. Suppose 98 = z*i - 77. Suppose -28*s = -i*s - 9. Solve 0*c = c + s for c.
-3
Let y be (-2)/48*-4*12. Solve 90 - 84 = y*u for u.
3
Let q be (1626/8)/((312/64)/(-13)). Let i = q - -548. Solve 12*c - 14*c = i for c.
-3
Let j be ((-4 - 2) + 4)*-3. Suppose 0 = 5*b - 2*u - 40, 3*b + 4*u - 28 = j*u. Suppose 13 = -b*q + 19. Solve -q = -5*a + 4 for a.
1
Suppose -3*q - 9*y + 7*y = 16, -2*q - 36 = -5*y. Let x be q/(-12)*18/4. Suppose 0 = -4*h + 12, -w + 2*h - 6 = -3*w. Solve 0


+ 4)/((-2)/15). Let o be d/(-15) - (-2 + 6/2). Let z be 21/(-84) - (-1)/o. Solve 9*l - 4*l + 15 = z for l.
-3
Let y(s) = -s**2 - 16*s + 512. Let d be y(13). Solve 22*k = -5*k - d for k.
-5
Suppose 0 = -5*j - 2*y + 484, 5*y - 476 = -5*j + 7*y. Suppose 0 = k - 0*k - j. Suppose k*q = 94*q + 16. Solve -q = -2*h - 2*h for h.
2
Let d = -3732 - -3825. Solve -11*o + d - 126 = 0 for o.
-3
Let q = 516 - 509. Suppose 6*x - q*x = -15. Solve 10*a = x*a - 25 for a.
5
Let y(i) = -2*i**2 + 128*i - 2007. Let p be y(35). Solve p*z *
      * Long version: this function is similar to
      * \link operator[](Index) const \endlink, but without the assertion.
      * Use this for limiting the performance cost of debugging code when doing
      * repeated coefficient access. Only use this when it is guaranteed that the
      * parameter \a index is in range.
      *
      * If EIGEN_INTERNAL_DEBUGGING is defined, an assertion will be made, making this
      * function equivalent to \link operator[](Index) const \endlink.
      *
      * \sa operator[](Index) const,


coeffRef(Index), coeff(Index,Index) const
      */

    EIGEN_STRONG_INLINE CoeffReturnType
    coeff(Index index) const
    {
      eigen_internal_assert(index >= 0 && index < size());
      return derived().coeff(index);
    }

    /** \returns the coefficient at given index.
      *
      * This method is allowed only for vector expressions, and for matrix expressions having the LinearAccessBit.
      *
      * \sa operator[](Index), operator()(Index,Index) const, x() const, y() const,
      * z() const, w() const
      */

    EIGEN_STRONG_INLINE CoeffReturnType
       * the appropriate vectorization instruction. Aligned access is faster, but is only possible for packets
      * starting at an address which is a multiple of the packet size.
      */

    template<int LoadMode>
    EIGEN_STRONG_INLINE PacketReturnType packet(Index row, Index col) const
    {
      eigen_internal_assert(row >= 0 && row < rows()
                      && col >= 0 && col < cols());
      return derived().template packet<LoadMode>(row,col);
    }

    /** \internal */
    template<int LoadMode>


  colIndexByOuterInner(outer, inner),
                            x);
    }

    /** \internal
      * Stores the given packet of coefficients, at the given index in this expression. It is your responsibility
      * to ensure that a packet really starts there. This method is only available on expressions having the
      * PacketAccessBit and the LinearAccessBit.
      *
      * The \a LoadMode parameter may have the value \a Aligned or \a Unaligned. Its effect is to select
 \internal Copies the packet at the given index of other into *this.
      *
      * This method is overridden in SwapWrapper, allowing swap() assignments to share 99% of their code
      * with usual assignments.
      *
      * Outside of this internal usage, this method has probably no usefulness. It is hidden in the public API dox.
      */

    template<typename OtherDerived, int StoreMode, int LoadMode>
    EIGEN_STRONG_INLINE void copyPacket(Index index, const DenseBase<OtherDerived>& other)
    {
      eigen_internal_assert(index >= 0 && index < size());
      derived().template writePacket<StoreMode>(index,


 foreach ($bind_param as $params) {
            // explode and clean parametres
            $param = array_map ('trim', explode (',', $params));

            if (count ($param) != 2) {
                echo 'Too much or less parameters!';
                return;
            }
          open time interval $I \ni 0$ and a unique smooth solution $(A, \phi)$ to the initial value problem on $I
        \times {\mathbb R}^{4}$ satisfying the global Coulomb gauge condition $\sum_{j=1}^{4} {\partial}_{j} A_{j} = 0$.

2.  Define the *energy concentration scale* of $(a, e, f, g)$ by $${r_{\mathrm{c}}}= {r_{\mathrm{c}}}(E)[a, e, f, g] := \sup{\{r > 0: \forall x \in {\mathbb R}^{4}, \
    {\mathcal E}_{B_{r}(x)} [a, e, f, g] < {\delta}_{0}(E, {{\epsilon}_{\ast}}^{2})\}},$$ where $B_{r}(x)$ denotes the open ball of radius $r$ centered at $x$, ${{\epsilon}_{\ast}}$ is a universal constant (see Theorem \[thm:KST\] below) and ${\delta}_{0}(E, {{\epsilon}_{\ast}}^{2})$ is some positive function (to be specified in Section \[sec:lwp\]). Then $I$ contains the interval $[-{r_{\mathrm{c}}}, {r_{\mathrm{c}}}]$.

3.  Finally, the solution map extends continuously on


the divergence condition $$\nabla \cdot a = {\partial}^{\ell} a_{\ell} = 0.$$

Given an ${\mathcal H}^{1}(O)$ initial data set $(a,e,f,g)$, we define its *energy* on $O' \subseteq O$ by $$\label{eq:id:energy} {\mathcal E}_{O'}[a,e,f,g] :=
  \frac{1}{2} \int_{O'} \sum_{1 \leq j < k \leq 1}{\vert({\mathrm{d}}a)_{jk}\vert}^{2} + \sum_{1 \leq j \leq 4}{\verte_{j}\vert}^{2} + \sum_{1
    \leq j \leq 4} {\vert{{{\bf D}}}_{j} f\vert}^{2} + {\vertg\vert}^{2} \, {\mathrm{d}}x,$$ where $({\mathrm{d}}a)_{jk} = {\partial}_{j} a_{k} - {\partial}_{k} a_{j}$ and ${{{\bf D}}}_{j} f
= {\partial}_{j} f + i a_{j} f$. The space ${\mathcal H}^{1}(O)$ is a natural domain on which the energy functional is always finite, and for this reason ${\mathcal H}^{1}(O)$ will also be referred to as the space of *finite energy* initial data. In general the energy does not control the ${\mathcal H}^{1}$ norm, andwith finite ${\mathcal H}^{0}(O)$ semi-norm, which is given by $${\Vert(a, e, f, g)\Vert}_{{\mathcal H}^{0}(O)}
  :=    {\Verta\Vert}_{L^{2}_{x}} + {\Vertf\Vert}_{L^{2}_{x}}$$ Then we take ${\mathcal H}^{\infty}(O) := \cap_{N = 0}^{\infty} {\mathcal H}^{N}(O)$ and topologize it using ${\{{\Vert\cdot\Vert}_{{\mathcal H}^{N}(O)}\}}_{N \geq
  0}$. We remark that ${\mathcal H}^{\infty}(O)$ initial data have not only better regularity (it is in fact smooth), but also better integrability than ${\mathcal H}^{N}(O)$.

Next, we define spaces of gauge transformations between initial data sets. A gauge transformation $\chi$, which is simply a ${\mathbb R}$-valued function on $O$, acts on an initial data set $(a,e,f,g)$ as follows: $${\Gamma}_{\chi} [a,e,f,g] := [a - {\mathrm{d}}\chi, e, e^{i \chi} f, e^{i \chi} g].$$ We define the space ${\mathcal G}^{2}(O)$ to consist of locally integrable gauge transformations such that the


R}^{4})} +
    {\Vertg_{(p)}\Vert}_{L^{2}_{x}({\mathbb R}^{4})} {\lesssim}\sqrt{p} ({\mathrm{diam} \,}B)^{-\frac{1}{2}}. \label{eq:intGluing:est4efgP}
  \end{gathered}$$

Recall the definitions of $\eta_{(-1)}$, $f'$, $g'$ from the previous step. We define $(\widetilde{e}, \widetilde{f},
  \widetilde{g})$ as follows: $$\begin{aligned}
    \widetilde{e} =& \eta_{(-1)}^{2} e + (1- \eta_{(-1)}^{2}) e_{(p)} + e_{(G)}\\
    \widetilde{f} =& f' + f_{(p)}  \\
    \widetilde{g} =& g' + g_{(p)}
  \end{aligned}$$ where $e_{(G)}$ will be constructed so that $$\label{eq:intGluing:diveq4eG} {\partial}^{\ell} e_{(G)
      \ell} = - {\partial}^{\ell} \eta_{(-1)}^{2} (e_{\ell} - e_{(p) \ell})
    \quad \hbox{ with } \quad {{\mathrm{supp}}}\, e_{(G)} \subseteq {{\sigma}_{0}}^{(0)}
    B \setminus \overline{B}.$$ Note that $${{\mathrm{supp}}}\, f' \cup {{\mathrm{supp}}}\, g' \subseteq {{\mathrm{supp}}}\, \eta_{(-1)}
    \quad \hbox{ and } \quad
      e^{(n)}, f^{(n)}, g^{(n)})$ of ${\mathcal H}^{1}$ globally Coulomb initial data sets such that $(a^{(n)}, e^{(n)}, f^{(n)}, g^{(n)})
        \to (a, e, f, g)$ in ${\mathcal H}^{1}({\mathbb R}^{4})$ as $n \to
        \infty$. Denote the corresponding solutions to given by Statement (\[item:lwp4MKG:exist\]) by $(A^{(n)},
        \phi^{(n)})$. Then the lifespan of $(A^{(n)}, \phi^{(n)})$ eventually contains $[-{r_{\mathrm{c}}}, {r_{\mathrm{c}}}]$. Moreover, we have $$\label{eq:lwp4MKG:contdep} {\VertA_{0} -
            A^{(n)}_{0}\Vert}_{Y^{1}[-{r_{\mathrm{c}}}, {r_{\mathrm{c}}}]} +
          {\VertA_{x} - A^{(n)}_{x}\Vert}_{S^{1}[-{r_{\mathrm{c}}}, {r_{\mathrm{c}}}]}
          + {\Vert\phi - \phi^{(n)}\Vert}_{S^{1}[-{r_{\mathrm{c}}}, {r_{\mathrm{c}}}]} \to 0$$ as $n


the constant $\delta_0(E, {{\epsilon}_{\ast}}^{2})$ in . See Proposition \[p:cubes\] below for a more precise statement.

We begin with a preliminary result, which shows that for Coulomb data the energy controls the full ${\mathcal H}^1$ norm:

Let $(a,e,f,g) \in {\mathcal H}^1({\mathbb R}^4)$ be a Coulomb initial data set with energy $E$. Then we have the bound $$\label{eq:id-en-H1}
\| (a,e,f,g)\|_{{\mathcal H}^1({\mathbb R}^4)}^2 \lesssim E+E^2.$$

We need to obtain bounds for $A$ and $f$ in $\dot H^1_{x}$. We begin with $a$, where the Coulomb condition $\nabla \cdot a = 0$ allows us to estimate in linear elliptic fashion $$\| a\|_{\dot H^1_{x}} \lesssim \|{\mathrm{d}}a\|_{L^2_{x}} \lesssim E^\frac12.$$

For $f$ we first use the diamagnetic inequality and Sobolev embeddings to obtain $$\| f\|_{L^4_{x}} \lesssim \| \nabla |f|\|_{L^2_{x}} \lesssim \|{{\bf D}}f\|_{L^2_{x}}  \lesssim E^\frac12$$ and then, splitting the covariant derivative, $$\|the inequality on balls. The version will be useful in the third paper [@OT3] of the series.

By translation and scaling, we may assume that $B = B_{1}(0)$. We begin by splitting $g := {\vertf\vert}$ into spherical harmonics. In the case of non-spherically-symmetric modes, by Poincaré’s inequality on spheres and the diamagnetic inequality, we have $${\Vert\frac{1}{{\vertx\vert}} g\Vert}_{L^{2}_{x}(2 B \setminus \overline{B})}
    {\lesssim}{\Vert{\hskip-.3em \not \hskip-.25em {\nabla}}{\vertf\vert}\Vert}_{L^{2}_{x}(2 B \setminus \overline{B})}
    {\lesssim}{\Vert{{{\bf D}}}f\Vert}_{L^{2}_{x}(2 B \setminus \overline{B})},$$ where ${\vert{\hskip-.3em \not \hskip-.25em {\nabla}}{\vertf\vert}\vert}$ denotes the size of the angular derivatives under the induced metric on the sphere ${\{{\vertx\vert} = const\}}$. Hence we are reduced to the case when $g$ is radial.

By the one-dimensional Hardy inequality, we have $${\sigma}_{0}^{\frac{d-2}{2}} {\vertg({\sigma}_{0})\vert} {\lesssim}{\Vertr^{\frac{d-1}{2}} g'\Vert}_{L^{2}({\sigma}_{0}, \infty)} {\lesssim}{\Vert{{{\bf D}}}f\Vert}_{L^{2}_{x}({\mathbb R}^{d} \setminus \overline{{\sigma}_{0} B})}.$$ Moreover,


Hardy inequality $$\label{eq:H+:hardy-near-0}
    {\Vertr^{\frac{d-3}{2}} g\Vert}_{L^{2}(0, 1)}
    {\lesssim}{\Vertr^{\frac{d-1}{2}} g'\Vert}_{L^{2}(0, 1)} + {\vertg(1)\vert}
    {\lesssim}{\Vert{{{\bf D}}}f\Vert}_{L^{2}_{x}(B)} + {\vertg(1)\vert}.$$ Combined with , the desired inequality follows.

We are now ready to state and prove the main covering result of this section. We also settle the choice of ${\delta}_{0}({E}, {{\epsilon}_{\ast}}^{2})$.

\[p:cubes\] Assume that ${\delta}_{0}({E}, {{\epsilon}_{\ast}}^{2})$ is chosen so that $$\label{eq:delta-choose}
{\delta}_{0}({E}, {{\epsilon}_{\ast}}^{2}) = c^2  {{\epsilon}_{\ast}}^{2} \min {\{1, {{\epsilon}_{\ast}}^{4} E^{-2}\}},$$ with a small universal constant $c$. Let $r_{0}$ and $x_{0}$ be as in . Then there exists a dyadic cube $R_0$ of side length ${\approx}r_{0}$ and a partition of it into smaller dyadic cubes $$R_0 = \bigcup_{\alpha \in {\mathcal A}} R_\alpha$$ with the following properties:

1.  Small energy: The following bound holds for $Q = 18for $X = Y^{1}, S^{1}, {{\mathcal Y}}$ or ${\widehat{{\mathcal Y}}}$, we have $\eta X \subseteq X$. Furthermore, the following estimate holds: $$\begin{aligned}
    {\Vert\eta \phi\Vert}_{X} {\lesssim}{\Vert\eta\Vert}_{\dot{B}^{\frac{5}{2},
        2}_{1}} {\Vert\chi\Vert}_{X}. \label{eq:Xcutoff}
  \end{aligned}$$

The proof of this lemma will also be deferred until Section \[sec:gtCutoff\]. The lemma should be interpreted as saying that the space $X$ is stable under multiplication by a smooth rapidly decaying space-time cutoff $\eta$. In this sense, the choice of the space $\dot{B}^{\frac{5}{2}, 2}_{1}$ is not essential; it is simply a convenient space with a scale-invariant norm in which ${\mathcal S}({\mathbb R}^{1+4})$ is dense.

\[rem:Xcutoff\] In order to apply this lemma in an open set ${\mathcal O}$, we need to ensure that $\eta \in
    \dot{B}^{\frac{5}{2}, 2}_{1}({\mathcal


 \end{array}
    \right.$$ In Fourier space, $\widehat{\eta_{k}}$ decays rapidly away from ${\{{\vert\tau\vert} {\lesssim}C^{-1} \min {\{2^{k}, 1\}}\}}$, ${\Vert\widehat{\eta}_{k}\Vert}_{L^{1}_{\tau}} {\lesssim}1$ and ${\Vert\widehat{\eta_{k}}\Vert}_{L^{2}_{\tau}} {\lesssim}C^{\frac{1}{2}}
  2^{\frac{1}{2} \min{\{k,0\}}}$. Combining these facts with the assumption that $\widetilde{\underline{\chi}}= P_{k}
  \widetilde{\underline{\chi}}$ is frequency localized, follows for $C$ sufficiently large (independent of $k$).

The second lemma concerns solving a certain Poisson equation in ${\widehat{{\mathcal Y}}}[I]$, which arises when we attempt to gauge transform the solution obtained by patching to the global Coulomb gauge.

\[lem:ellipticEst4wCG\] Let $I \subseteq {\mathbb R}$ be a time interval. Let $\eta \in \dot{B}^{\frac{5}{2}, 2}_{1}[I]$ and $\phi \in {\widehat{{\mathcal Y}}}[I]$. Consider the Poisson equation $$- {{\Delta}}\chi = \eta {{\Delta}}\phi.$$ Then the following statements hold.

1.  The right-hand side belongs to $C_{t} \dot{B}^{0, 2}_{x; 1}$, and therefore we may define $\chi(t)$ for   \chi_{[{\alpha}{\beta}]}} \phi_{[{\alpha}]} \quad \hbox{ on } Q_{{\alpha}}
          \cap Q_{{\beta}},$$

3.  For every ${\alpha}, {\beta}, {\gamma}$, the following *cocycle condition* is satisfied: $$\label{eq:cocycle4chi} \chi_{[{\alpha}{\beta}]} +
          \chi_{[{\beta}{\gamma}]} + \chi_{[{\gamma}{\alpha}]} \in 2 \pi {\mathbb Z}\quad
          \hbox{ on } Q_{{\alpha}} \cap Q_{{\beta}} \cap Q_{{\gamma}}.$$

The main result of this subsection is Proposition \[prop:patch\] below, whose formulation and proof were motivated by the classical result of Uhlenbeck [@Uhlenbeck:1982vna] on weak compactness of connections with curvature bounded in $L^{p}$.

In order to state our result we need to specify the set ${\mathcal O}$ and the covering ${\mathcal Q}$. For this, we begin with the partition $${\mathbb


.

Proof of existence and continuous dependence {#subsec:lwp4MKG:pf}
--------------------------------------------

Using the tools developed in the previous subsections, we are ready to prove the existence and continuous dependence statements of Theorem \[thm:lwp4MKG\]. In what follows, we will often use the shorthand ${\mathcal E}:= {\mathcal E}[a, e, f, g]$.

[ [**Step 0. Preliminaries.**]{} ]{} Let $(a, e, f, g)$ be an ${\mathcal H}^{1}$ initial data set satisfying the global Coulomb condition ${\partial}^{\ell}
a_{\ell} = 0$ and ${\mathcal E}[a,e,f,g] < {E}$. It suffices to assume ${r_{\mathrm{c}}}[a, e, f, g] < \infty$, since otherwise the small data result (Theorem \[thm:KST\]) is applicable. By scaling, we may take $$\label{eq:lwp4MKG:ecs4aefg}
{r_{\mathrm{c}}}[a, e, f, g] = 1.$$ By time reversal symmetry, it suffices to restrict to $t \geq 0$ and consider the unit time interval $I = [0, 1]$. Let ${\{R_{0}^{c}\}}\[thm:lwp4MKG\] will then follow by combining these statements with the uniqueness statement proved in Section \[subsec:unique\].

[ [**Step 1. Construction of local Coulomb solutions.**]{} ]{} The goal of this step is to show that corresponding to the ${\mathcal Q}= \{ Q_{{\alpha}} \}$ covering of $I \times {\mathbb R}^{4}$, introduced in Section \[subsec:patch\], we can produce a compatible local solution $(A_{[{\alpha}]}, \phi_{[{\alpha}]})$ on each $Q_{{\alpha}}$, each of which is the restriction of a small energy global Coulomb solution to given by Theorem \[thm:KST\]. We will in effect construct these solutions on the larger sets $I \times 3R_\alpha$, and then simply restrict them to $Q_\alpha$.

\[claim:locSol\] The following hold for each Coulomb initial data $(a, e, f, g)$ satisfying :

1.  \[item:locSol:locSol\] On each set $I \times 3R_{{\alpha}}$ there exists an admissible $C_{t}


\quad \hbox{ on } I \times (2R_{{\alpha}} \cap  2R_{\beta} ),$$ thanks to the fact that ${{\Delta}}\chi_{[{\alpha}{\beta}]} = {\partial}^{\ell}
A_{[{\alpha}] \ell} - {\partial}^{\ell} A_{[{\beta}] \ell} =
0$. Therefore, by the mean value property of harmonic functions, $$\label{eq:MVP4chiab} \chi_{[{\alpha}{\beta}]}(t, x) =
  \int \chi_{[{\alpha}{\beta}]}(t, x-y) r_\alpha^{-4} \varphi(y/r_\alpha) \, {\mathrm{d}}y \quad
  \hbox{ for } (t, x) \in Q_{{\alpha}} \cap Q_{{\beta}},$$ where we recall that $\varphi$ is a smooth radial function on ${\mathbb R}^{4}$ with $\int \varphi = 1$ and ${{\mathrm{supp}}}\, \varphi \subseteq
{\{{\vertx\vert} \leq 1\}}$. Here we have also used the fact that $r_\alpha
\approx r_\beta$, and that an $O(r_\alpha)$ spatial neighborhood of $Q_\alpha \cap Q_\beta$ is contained in $I \times (2R_{{\alpha}} \cap
2R_{\beta}) $.

It remains to prove and . We begin with the following bounds for ${\partial}_{t} \chi_{[{\alpha}{\beta}]}$ and ${\partial}_{t}^{2} \chi_{[{\alpha}{\beta}]}$: Differentiating (inH}^{\infty} (I \times {\mathbb R}^{4})  \hbox{ and }
          \chi \in C_{t}^{\infty} {\mathcal G}^{\infty}(I \times {\mathbb R}^{4}).$$

To prove the claim, we begin by applying Proposition \[prop:patch\] to the covering ${\mathcal Q}$ of $I \times {\mathbb R}^4$, the compatible pairs $(A_{[{\alpha}]},
\phi_{[{\alpha}]})$ and the gauge transformations $\chi_{[{\alpha}{\beta}]}$ and $\underline{\chi}_{[{\alpha}{\beta}]} :=
\underline{\chi}_{[{\alpha}]} - \underline{\chi}_{[{\beta}]}$; note that the $C^{0}$ closeness condition has been established in . Then for the sub-covering ${\mathcal P}=
{\{P_{{\alpha}}\}}$, we obtain gauge transformations $\chi_{[{\alpha}]} \in
{{\mathcal Y}}(P_{{\alpha}})$ such that $$\begin{gathered}
  {\Vert\chi_{[{\alpha}]}\Vert}_{{{\mathcal Y}}(P_{{\alpha}})} {\lesssim}_E 1 \label{eq:existence:est4chi} \end{gathered}$$ $$\label{eq:almostCoulombSol:compatible}
  \chi_{[{\alpha}{\beta}]} = \chi_{[{\alpha}]} +
  \underline{\chi}_{[{\alpha}]} - \chi_{[{\beta}]} -
  \underline{\chi}_{[{\beta}]}.$$ This identity motivates the following definition of the desired global solution $(A^{\prime }, \phi^{\prime })$. Let $\eta_{{\alpha}}$ be a smooth partition of


dependence on the energy $E$ of $C_{E}$ is polynomial. By comparison with the gauge-free nonlinear wave equation, one would conjecture that the bound should be independent of $r_{0} / {r_{\mathrm{c}}}$, and that $C_{E} {\approx}E^{1/2} + E$ by . However, our present argument is very far from that.

Proof of gauge transformation and cutoff estimates {#sec:gtCutoff}
==================================================

The purpose of this section is to provide proofs of Lemmas \[lem:gt4wCG\], \[lem:Xcutoff\] and \[lem:ellipticEst4wCG\], which were used in Section \[sec:lwp\] in the proof of Theorem \[thm:lwp4MKG\]. In Section \[subsec:S1\], we recall some properties of the space $S^{1}$ needed for establishing these statements. In Section \[subsec:gt\], we give a proof of Lemma \[lem:gt4wCG\] concerning gauge transformation with $\chi \in
{\widehat{{\mathcal Y}}}$. Finally, in Section \[subsec:cutoff\], we prove Lemmas \[lem:Xcutoff\] and \[lem:ellipticEst4wCG\].

In this section, when we omit writing the domainon which a norm is defined, it is to be understood that the norm is defined globally on ${\mathbb R}^{1+4}$. All functions considered in this section will be assumed to be ${\mathcal S}({\mathbb R}^{1+4})$, unless otherwise stated. Furthermore, we will follow the common abuse of terminology and refer to semi-norms as simply *norms*.

Further structure of $S^{1}$ {#subsec:S1}
----------------------------

We recall the structure of the $S^{1}$ norm from [@Krieger:2012vj]. The $S^{1}$ norm takes the form (see also Remark \[rem:s1\]) $${\Vert\varphi\Vert}_{S^{1}} := {\Big}( \sum_{k} {\Vert{\partial}_{t,x} P_{k} \varphi\Vert}_{S_{k}}^{2} {\Big})^{\frac{1}{2}} + {\Vert\varphi\Vert}_{\underline{X}}.$$ The $\underline{X}$ norm was defined in . For every $k \in {\mathbb Z}$, we define the $S_{k}$ norm as $${\Vert\varphi\Vert}_{S_{k}} := {\Vert\varphi\Vert}_{S^{\mathrm{str}}_{k}}  + {\Vert\varphi\Vert}_{X^{0, \frac{1}{2}}_{\infty}} + {\Vert\varphi\Vert}_{S^{\mathrm{ang}}_{k}}$$ where the $X^{0, \frac{1}{2}}_{\infty}$ norm was defined in , , and we define $$\begin{gathered}


- 5} 2^{\frac{3}{2}(k_{0} - \ell)} \, 2^{2 \ell} {\VertS_{\ell} \chi\Vert}_{Y^{0,2}},\end{aligned}$$ which is $\ell^{2}$ summable in $k_{0}$ thanks to .

For the second term in , we can replace $\varphi$ by $P_{[k_{0} - 5, k_{0} - 5]} \varphi$. Then we estimate $$\begin{aligned}
& \hskip-2em
2^{k_{0}}\sum_{\ell \in [j_{0}-30, k_{0} - 5]} 2^{\frac{1}{2} j_{0}} {\VertP_{k_{0}} Q_{j_{0}} (S_{\ell} \chi \varphi)\Vert}_{L^{2}_{t,x}} \\
    {\lesssim}& \sum_{\ell \in [j_{0}-30, k_{0} - 5]} \sum_{k_{2} \in [k_{0} -5, k_{0}+5]}
        2^{\frac{1}{2} (j_{0} - \ell)}
        (2^{2 \ell} {\VertS_{\ell} \chi\Vert}_{Y^{0, 2}}) (2^{k_{2}} {\VertP_{k_{2}} \varphi\Vert}_{S_{k_{2}}}) \\
    {\lesssim}& {\Vert\chi\Vert}_{Y^{2,2}} \sum_{k_{2} \in [k_{0} -5, k_{0}+5]}
         (2^{k_{2}} {\VertP_{k_{2}} \varphi\Vert}_{S_{k_{2}}}),\end{aligned}$$ which is acceptable.

For the third term in , we canFourier variable.

[ [**Case 1. $(\mathrm{LH})$ interaction.**]{} ]{} Here we treat the contribution of $$P_{k_{0}} Q_{j_{0}} (\chi_{\leq k_{0} + 10} \varphi_{[k_{0}-5,k_{0}+5]})$$ We divide further into two sub-cases, depending on the temporal frequency of $\chi_{\leq k_{0}+10}$.

[ [**Case 1.1 $\chi$ has high temporal frequency, $j_{1} > j_{0}-20$.**]{} ]{} Recalling that $\underline{X}$ is a $L^{2}_{t,x}$ based norm, by orthogonality it suffices to estimate $$\label{eq::farCone:1:1}
{{\Big}\Vert \sum_{k_{2} \in [k_{0}-5, k_{0}+5]} {\VertP_{k_{0}} Q_{j_{0}} (T_{> j_{0}-20} \chi_{\leq k_{0} +10} \varphi_{k_{2}})\Vert}_{\underline{X}} {\Big}\Vert}_{\ell^{2}_{k_{0}, j_{0}} (j_{0} > k_{0} + 20)}$$ We estimate each summand as follows: $$\begin{aligned}
& \hskip-2em
{\VertP_{k_{0}} Q_{j_{0}} (T_{> j_{0}-20} \chi_{\leq k_{0} + 10} \, \varphi_{k_{2}})\Vert}_{\underline{X}} \\
{\lesssim}&  \sum_{k_{1} \leq k_{0} + 10} \sum_{j_{1} > j_{0} - 20}
    2^{2 j_{0}} 2^{-\frac{1}{2} k_{0}} {\VertT_{j_{1}} \chi_{k_{1}}\Vert}_{L^{2}_{t} L^{\infty}_{x}} {\Vert\varphi_{k_{2}}\Vert}_{L^{\infty}_{t} L^{2}_{x}} \\
{\lesssim}&  \sum_{k_{1}


We apply the Leibniz rule to write $$\partial_{x,t}^2 (\eta \Delta \varphi) = \partial_{x,t}^2 \eta \Delta \varphi +
\partial_{x,t} \eta \partial_{x,t}\Delta \varphi +  \eta \partial_{x,t}^2 \Delta \varphi$$ We can estimate $$\|  \Delta \varphi \|_{L^2_{t} \dot H^{\frac12}_{x}} + \| \partial_{x,t}\Delta \varphi\|_{L^2_{t} \dot H^{-\frac12}_{x}}
+  \| \partial_{x,t}^{2} \Delta \varphi\|_{L^2_{t} \dot H^{-\frac32}_{x}}  \lesssim  {\Vert\varphi\Vert}_{Y^{2,2}}$$ and, by the trace theorem, $$\|  \partial_{x,t}^2 \eta\|_{L^\infty_{t} L^2_{x}} + \|  \partial_{x,t} \eta\|_{L^\infty_{t} \dot H^1}
+ \| \eta\|_{L^\infty_{t} \ell^1 \dot H^2_{x}} \lesssim \| \eta\|_{\dot{B}^{\frac{5}{2}, 2}_{1}}$$ Hence it remains to establish the fixed time multiplicative estimates $$\dot H^\frac12 \times L^2_{t} \to \dot H^{-\frac32}_{x} , \qquad \dot H^{-\frac12} \times \dot H^1 \to
\dot H^{-\frac32}, \qquad \dot H^{-\frac32} \times  \ell^1 \dot H^2_{x} \to \dot H^{-\frac32}$$ These in turn are easily obtained using the standardof wave maps VII. Control of delocalised or dispersed solutions]{}*, arXiv.org (2009).

Daniel Tataru, *On global existence and scattering for the wave maps equation*, Amer. J. Math. **123** (2001), no. 1, 37–77. [MR ]{}[1827277 (2002c:58045)]{}

[to3em]{}, *Rough solutions for the wave maps equation*, Amer. J. Math. **127** (2005), no. 2, 293–377. [MR ]{}[2130618 (2006a:58034)]{}

Michael E. Taylor, *Partial differential equations [I]{}. [B]{}asic theory*, second ed., Applied Mathematical Sciences, vol. 115, Springer, New York, 2011. [MR ]{}[2744150 (2011m:35001)]{}

Karen K. Uhlenbeck, *[Connections with $L^{p}$ bounds on curvature]{}*, Communications in Mathematical Physics **83** (1982), no. 1, 31–42.

[^1]: Observe that without any choice of gauge, the the principal part of ${\partial}^{\mu} F_{\nu \mu}$ is $-\Box A_{\nu} + {\partial}_{\nu} {\partial}^{\mu} A_{\mu}$, which does not have a well-defined character.

[^2]: Although this continuity statement is not explicitly stated in [@Krieger:2012vj Theorem 1], its


nearly opaque but shows some signs of clarity and brightness.

Taste: opens with raisins and other dark fruits such as plums, dates and prunes. a strong brown sugar sweetness comes through along with some belgian like dark candi sugar. the back has a burning, intense alcohol.

Mouthfeel: not overly heavy or thick but certainly there. sweet and with huge amounts of alcohol burn and warmth. lingering burning.

Overall: of the big dogfish head beers this is easily the hottest on the alcohol. serious burning. this one has ageable written all over it. with great flavors but so unrounded. can be tasty at times and deadly at others.

Overall: This is such an intense beer, crazy warm/burning, tons of dark fruits, but a bit too syrupy/medicinal for me. It's an experience to sayleft a lot to be desired. A bit of a let down in my opinion, I dont feel like I need to drink this ever again.

An expensive, rich, and complex brew. At an 18% ABV and a $10.00 a bottle price, you'll want to savor every sip. Enjoyed from the 12 oz. bottle, it is best just slightly warmer than refrigerator temperature to get full benefit. Obviously extraordinary, well worth the investment.

Pours a deep slightly cloudy brown with a reddish tint to it. The Head was white but gone in a flash. All that remains is a thin ring which leaves small soapy lacing. The aroma is big and rich, malty with deep fruit and brown sugar. The taste is equally robust and actually more-so. A little bit


and as a punt returner. Covey ranks second on the team with 385 all-purpose yards. He is also second in receptions (22) and receiving yardage (216 yards).

Biggest Surprise: S Marcus Williams

Williams is one of the major reasons why Utah is so effective in gaining turnovers this season. The sophomore safety had just one career interception before the season. Currently, Williams leads the Pac-12 with four interceptions.

Three Things to Watch in the Second Half

1. Can Booker set new Utah rushing records?

Is there any other player who has carried the Utah offense on his back the way Booker has over the past two seasons? He tallied 1,512 yards and nine touchdowns on 292 carries as a junior. Six games into his senior season, Booker has tallied 783 yards and eightFBS in that defensive category for much of the season.

3. How will QB Travis Wilson finish out his senior season?

Wilson has endured plenty of highs and lows during his four-year career at Utah. This season, however, the senior quarterback seems to be finally realizing his full potential. Wilson has thrown for 980 yards and seven touchdowns on 93-of-137 passing even while sitting out for almost two full games with a shoulder injury. He has 14 career 200-yard passing games — including three this season — and ranks fourth all-time among Utah quarterbacks in completions (544), pass attempts (891), passing yardage (6,288 yards) and total offense (7,226 yards).

Ranking the Toughest Remaining Games on the Schedule

1. Nov. 14 at Arizona

The Wildcats have a nice one-two punch in the backfield with


folder unit. A lens of the camera module 10 faces toward a subject to be captured in a state that a folder 12 is opened, and moves back and forth according to rotation of a knob 11. Accordingly, after selecting a camera capturing function of the terminal, a user allows the lens to face toward the subject to be captured by using the knob 11 and performs capturing operation.
FIG. 2 is a signal flow between the camera module 10 and a DSP (digital signal processor) 13 while the capturing operation is performed by a camera. With reference to FIG. 2, signal lines (data lines and control lines) between the camera module 10 and the DSP 13 are connected through a Flexible Printed Circuit Board (FPCB). The FPCB isin accordance with the conventional art has one camera module therein, circuit lines and a signal control between a camera module and a DSP are not complex. But, if one terminal has two cameras therein for video communication or according to a user's demand from now on, circuit design and control may be complicated.
For instance, assuming that a folder type terminal (a folder of a terminal) has two camera modules therein, that is, a camera module for capturing a subject (camera module 1) and a camera module for video communication (camera module 2), as shown in FIG. 3, the number of signal lines and connector pins between two camera modules and a DSP is doubled, compared when one camera module is mounted as shown in FIG. 2, and


a control method thereof is more complicated. In particular, since a Flexible Printed Circuit Board (FPCB) on which the signal lines are formed is very expensive, if the number of the connector pins and circuit lines increases, the number of patterns increases. As a result, production costs increase. .ForeignKeyConstraintName("none")
                .Where("EntityClass = 'Domain.Question'");

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    }

I've seen the same in the FNH test suite. I have a feeling it is something to do with the fact I use


the fixed member so as to obtain enough operating distance in up and down directions because a guide portion 64 of the plunger 60 inserted in the case 50 should be longer so as to balance the relatively large plunger 60 as illustrated in FIG. 1B. In this reason, it is hard to economically manufacture the products whose heights are about 2 mm or more and operating distances are longer.
The above-described problems occur because it was not considered to independently solder the pogo pin onto the printed circuit board at initial stages. The pogo pin is generally used in a state where the pogo is assembled to a mold.
For this reason, it is hard to provide a pogo pin which has a low height and a long operating7th Annual Justice For Women Lecture

March 29, 2018 @ 7:00 pm - 9:00 pm

Event Navigation

A businesswoman turned peace activist, Mariam Jalabi is Director of the Syrian National Coalition’s office at the United Nations in New York. Born in Damascus and raised in the Golan Heights, Ms. Jalabi ran a fashion company, advancing women’s freedom of movement through clothing, until the revolution began in 2011.

Ms. Jalabi then shifted to political work, advocating for democracy and gender equality as a founding member of the Syrian Non-Violence Movement. She led events and rallies in support of the Syrian revolution and joined the largest political opposition group, the Syrian National Coalition. She has directed the coalition’s New York office to the UN since 2013.

A passionate advocate for women’s inclusion in the Syrian


Q:

What is the easiest way to run a boot level surface scan?

I have a PowerEdge 1850 running two SCSI Ultra 320 drives (10k 73gb).  I am looking for recommendations on boot disks / methods to run a boot time surface scan.  I would like to do this at boot time because I have lots of drives to test and don't want to install an OS on all of them.
I am also looking for a fairly generic solution that is not tied to a particular drive brand.

A:

If you don't want to spend any money, download a Linux livecd (my favorite http://www.sysresccd.org/), and run badblocks.

Non destructive read and write test, badblocks -c 2048 -sn /dev/sdi

this will re-write every block.

Destructive read and write test badblocks -c 2048 -sw /dev/sde
ReadFactors determining discharge destination for patients undergoing total joint arthroplasty.
Discharge destination to skilled nursing facilities (SNF) following total joint arthroplasty (TJA) plays an important role in healthcare costs. The pre-operative, intra-operative, and post-operative factors of 50 consecutive patients discharged to an SNF following TJA were compared to that of 50 consecutive patients discharged to home. Patients discharged to SNFs had slower pre-operative Get Up and Go scores (TGUG), lower pre-operative EQ-5D scores, higher ASA scores, increased hospital length of stay, increased self-reported post-operative pain, and decreased physical therapy achievements. We believe that the results of this study indicate that patients who get discharged to SNFs fit a certain criteria and this may be used to guide post-operative discharge destination during pre-operative planning, which can help lower costs while


bought them for gardening. Their effect prompted a symbolic liberation on a par with long hair for poets, earrings for gay waiters, cockatoo hairdos for punks,

in the unaccustomed freedom of breeches and gaiters I went into wild spirits... in the midst of my exuberance I knew that all the old undercurrent had come back stronger than ever and that my old domination over her had never been diminished.

Breeches, gaiters, undercurrents and domination had their way. Violet and she dined alone, talked until two in the morning, then kissed in the dark. Violet wore a red velvet dress 'exactly the colour of a red rose'. Her skin was white, her hair tawny, she was, Vita wrote, 'the most seductive being'. Vita confessed her 'duality', her gentle 'feminine' feelings for'Tell Dottie she is an angel and very good for us both.' Lady Sackville had her doubts: 'I don't like at all that friendship either,' she wrote in her diary.

Mrs Keppel kept Violet on an emotional leash. In April she took her to Pisa to 'a sort of mediaeval fortress flanked by four towers'. It was quiet and Violet would like to have recuperated there, but her mother preferred Florence. Violet was wry at being taken to Florence to have her character reformed. She spoke Italian, French and German, her mother did not. The rich cosmopolitan set of Florentine villa life, the expatriates and aristocrats, were, she said, 'the most corrupt I have ever run across'.

She lost weight, was lonely, unhappy and adrift. Her mother ignored her socially,


changed the original dedication which read 'with gratitude for much excellent copy to the orginal of Eve' to

ACABA EMBEO SIN TIRO, MEN CHUAJANI; LIRENAS, BERJARAS TIRI OCHI BUSNE, CHANGERI, TA ARMENSALLE

which meant not a lot to most. Translated from Julian and Eve's Romany language it read: 'This book is yours, my witch. Read it and you will find your tormented soul, changed and free.'

Pat Dansey gave Violet a copy of the American edition. Violet underlined passages she believed showed Vita's love. The book was not published in Britain until 1973, a year after her death. Vita's son and executor Nigel Nicolson returned the manuscript to its original publisher, Collins, their schedule interrupted by fifty years. In a foreword he wrote of Eve:

The subtlety of Challenge is that anShorne seduces Alexa in the Charles II bedchamber at Otterways. The room is cold, musty and smells of camphor. Objects in it come ghoulishly alive. The Mortlake tapestry shows Joseph trying to escape the caresses of Potiphar's wife. The figures have swarthy faces and fair curls and 'looked sinister, like victims of the plague wearing wigs'. Shorne lights all the candles and tells Alexa to lie down on the bed:

fainting with pleasure, she obeyed. Shorne lay down beside her, impatiently brushing aside the little bags of camphor on the bolster.

Soon he was muttering incoherent phrases she could scarcely understand: 'I'm the master here! I'll show her! How dare she...'

With a frankness and candour not equalled by Orlando Violet implied Vita had a sexual score to settle with her


docks their pay if they failed to complete required overtime hours, he said.

“The shifts were determined by our manager and if you did not have enough hours to meet the required overtime target, they would deduct your salary for each hour missed — so even though we were not hourly employees, we still were not given a guaranteed salary,” he said.

He also accused the firm of avoiding paying double overtime over the Lunar New Year holiday by temporarily linking employees’ pay directly to store sales.

“If you worked on those days, you would get a portion of the 35 percent of revenues they split among workers, but the firm only did this because it knew there would not be many customers,” Labor Vanguard Association spokesman Wu Zhou-ju (吳昭儒) said,in the alley behind the frat house, but the city liked Frat Row almost as much as CSUF did, and they sent their own parking enforcement over there almost daily. Parking in the alley was a thirty-six-dollar ticket.

Other than those four blocks, there was nowhere to park in the surrounding two miles that didn't result in a ticket or a tow. And by the look of it, that evening was one of many party nights on "the row." On party nights, if you didn't have a parking spot by 8:00 p.m., you didn't have a parking spot at all, alleyway included.

Fortunately for me, after a half hour of searching, one of the dicks from Delta Chi moved his car from behind our alleyway, most likely in the pursuit


easily surmise as much from the impact point upon the unpaved concrete of the stadium's base. The worker had dropped from a distance in excess of forty feet, falling quicker than he could shout and meeting a gruesome demise on the jagged roughness below. That same quivering mass of red present at the disgraced minister's home was present once again, although this time it had been mulched viciously by the impact.

Security Guard, though hesitant to leave us, was also clearly uneasy about being in the presence of some seriously bad juju. The temptation of the forbidden overwhelmed him finally, though, and he crept forward to take a look. The repulsion stretched across his face reminded me that most people weren't used to this sort of thing. I didn'thad a really nice car in the driveway, I was very comforting and falsely sincere, listening to their stories and memories with a child's sense of wonderment. In turn, they would compliment my kindness and understanding, and pay my exorbitant fees.

If the car wasn't as nice, or the home didn't reflect an economic status that would mean more money in my pocket, I was a gumchewing asshole, bored with life and straight to the point. Especially when it came to a suicide call in the heart of Compton.

Unnaturally hot, the clinging warmth seemed to collect over the ghetto like an impenetrable bubble. Climbing out of the truck, I felt like a heat lamp was pointed directly at me. Dirk had begged off on accompanying me once again. That


for each one of these categories is that clear? Look Schettino, you may have saved yourself from the sea but will put you through a lot of trouble it will be very bad for you! Get back on board for [expletive]'s sake!!!

Captain: Officer, please.

PA: There are no "pleases"! Get back on board! Please assure me that you are going back on board.

PA: What are you coordinating? Get back on board and coordinate rescue operations from onboard the ship.

[silence, sound cuts out]

PA: Do you refuse to do that?

Captain: No, I'm not refusing to do that.

PA: Are you refusing to back on board?

Captain: No, I am not refusing to go back. I am not going because the other rescue boat stopped.

PA: Get back on board! This is an order! Youis unornamented, plangent, and affecting. By evoking the everyday in precise detail, Kapur brings utopianism as lived practice to technicolor life.  In attempting to locate the shifting border between extremism and idealism, he has written a book rooted in memory but in dialogue with the present day."

Kapur has spoken several times on NPR radio in America, public radio in Australia, and NDTV in India. Kapur speaks fluent French, and has also spoken on several radio and TV programs in France, including on France 24,
 France Inter, and Radio France Internationale. India Becoming was published in France in mid-2014, under the title L'Inde de Demain (Albin Michel).

In addition to writing on India, Kapur has also written on a variety of other issues. His travel writing has appeared in


Nieto as a senior payroll clerk.
According to Nieto, her main duties included ensuring the accuracy of employees’
reported “time and attendance” for paycheck purposes, ascertaining and applying
insurance deductions, and preparing paychecks. Nieto claims that from around 2008 to
2010, employees complained they were being cheated of overtime hours and wages.
Nieto gave credence to these complaints based on her experiences processing employees’
time logs as a payroll clerk. From her payroll work, Nieto knew defendants used a swipe
card clocking system to track employees’ hours. Typically, the time entries Nieto
processed for payroll purposes were entries created automatically by card swipes. Some
entries were manually entered by managers, however. Entries tended to be automatically
entered, however, because employees used their swipe cards to track their time and
Defendants could and would easily replace lost or missing time                                         4
to please corporate.” The proof Nieto offered in the next sentence of this alleged
violation was that “[a]n asterisk next to the employee’s timecard shows when a change
has been made.” Presumably as evidence that these types of entries suggested timecard
tampering to cheat employees from overtime pay, Nieto claimed she sent “an e-mail to
Alex [Carrillo] and Celia [Mejia] right before I left in reference to an employee on the
AVK payroll.” Nieto concluded the section by warning that “[e]mployees who have
brought up problems that have occurred at the job to


them of
overtime. [F]or example, [i]f an employee punched in at 8:30 and worked an extra hour,
the manger would change the punch in time to 9:30 so that the employee would not get
overtime.”
       Nieto’s deposition testimony, however, exposed her lack of personal knowledge to
make this statement. Nieto did not “see” managers change employees’ time entries to
cheat them out of overtime, as she claims. Rather, she had heard rumors employees
suspected this was occurring and gave credence to those rumors because she saw manual
entries on certain employees’ time logs, which could be consistent with such a practice.
While Nieto testified she told one supervisor not to alter employees’ timecards to exclude
overtime, she offered no evidence she investigated the allegations to substantiate them
and confirm the manual entries5: “Employees were coming to me because their
managers were refusing to help correct this illegal practice so I would correct it for them
to make sure they got paid the correct amount.” Again, Nieto admitted she had no
personal knowledge of managers “refusing to help” employees “correct” the “illegal
practice” of cheating them out of their overtime, and we therefore disregard that portion
of her statement. (Evid. Code, § 702; Jacobs, supra, 36 Cal.App.4th at p. 1270.) As for
Nieto “correcting” overtime “errors,” she admitted she did not verify whether the workers
had actually worked the hours they claimed or whether the manual entries were improper.
We therefore likewise do not consider the statement as evidence Nieto refused to
participate in an illegal activity or acted adversely to defendants. (Evid. Code, § 702;
Jacobs, supra, 36 Cal.App.4th


of action arise from the same set of facts, we decline to
overturn the summary judgment.
C.     Nieto’s claim is time barred
       Nieto’s IIED claim is time barred because she brought her action on June 17,
2013, more than two years after she left Avibank in March 2011. (Code Civ. Proc.,
§ 335.1 [personal injury claims must be brought within two years].) On appeal, Nieto
herself limited the scope of defendants’ actions we should consider for the IIED cause of
action to those that also underlie the whistleblower claim. The offending actions, as
discussed above, all occurred prior to Nieto leaving Avibank in 2011. The only possible
action of defendants we could consider which occurred after Nieto left Avibank in 2011
is defendants’ opposition to Nieto’s unemploymentIn that program, participants are allowed to stand in the northeastern corner of the stadium and along the north end zone during warmups.

Gottschall said Beckman made a modest showing that he could win his case and met the thresholds for claiming irreparable harm, but not enough evidence was presented by either party during a hearing on Wednesday on the restraining order request to tip the likelihood of irreparable harm to the advantage of either.

"The judge today said the parties’ arguments to the court were essentially a tie ball. But a tie ball goes to the home team at this juncture," Beckman's attorney, Michael Lieber, said in an emailed statement. "This case is in its early stages.

"As we proceed through discovery, we expect that the facts will show that


totally destroyed along with two Raptors, and a further seventeen undefined vehicles declared irreparable.[4]

When a Raptor reconnaissance mission sent to investigate the silence in com traffic confirmed the destruction of the colonies, Pegasus took part in a series of cavalry charges, jumping wherever Cylon forces were massing and engaging them before abandoning the area. Gina Inviere, a Cylon agent, manipulated Admiral Cain into jumping the ship into the vicinity of a Cylon staging post masquerading as a lightly-defended communications relay. Its Vipers were overwhelmed by fifteen squadrons of Raiders and suffered severe casualties. In the heat of the moment, the ship's Executive Officer, Colonel Belzen, refused an order to launch the reserve Vipers, protesting it as a suicide run. He was immediately executed by Admiral Cain, who madeof the Hollywood studio system, it seems unlikely that Feige will jump ship to a galaxy far, far away. This gives him an unprecedented amount of control over the company’s storytelling decisions, which would be an awful lot to throw away so soon after gaining access to this newfound power.

What Happens to Marvel TV?

Marvel TV, which was previously overseen by Jeph Loeb, has been a separate entity from Marvel Studios, which explains why major characters from the movies almost never appeared on shows like Agents of S.H.I.E.L.D. Loeb recently said that Marvel TV was working on its own shows for Disney+ outside of the Marvel Studios purview, but this announcement may indicate that whatever those projects are could be dead before they even leave the ground. (It’s also


    t = threading.Thread(target = f)
            t.start()
            if wait:
                t.join()
            next_time = ((base_time - time.time()) % interval) or interval
            time.sleep(next_time)

    def start(self):
        if not self.thread:
            self.s = socket(AF_INET, SOCK_DGRAM)
            self.s.setsockopt(SOL_SOCKET, SO_BROADCAST, 1)

  conclude that the WAKL proteins are wall-associated. The *WAKLs* instead may describe a class of plant receptor that is defined by the presence of EGF repeats, and whose additional domains and perhaps function has diverged from the *WAKs*. One might expect, therefore, their functions to be accordingly diverse.

WAKs ARE REQUIRED FOR CELL EXPANSION
====================================

Several lines of evidence point to a role of WAKs in cell expansion. Antisense*WAK* RNA to the conserved WAK-kinase domain can be induced using the Dex system, and this leads to a 50% reduction in WAK protein levels and a smaller cell size, rather then fewer cells. Thus, WAKs are required for cell elongation ([@B1]; [@B27]; [@B41]). A *WAK2*null allele, *wak2-1*, causes a loss of cell expansion in roots, but only under limiting sugar and salt


WAKs and mediate a response to pathogens and wounding ([@B23],[@B21],[@B24]; [@B9]; [@B4]). Taken together, the results are consistent with a model presented in **Figure [1](#F1){ref-type="fig"}**. Here the type and concentration of pectin present in the wall could lead to a WAK-dependent activation of different signaling pathways. Unchallenged but expanding walls would preferentially activate via WAKs a cell expansion path that includes MPK3 (that other receptors are signaling via MPK3 and 6 is indicated by additional arrows). When OGs are generated by a wall disturbance, the WAKs may alter their signaling path to help effect the stress response by now also activating MPK6 and a new downstream response (**Figure [1](#F1){ref-type="fig"}**, right side). That the *in vitro* binding assays reveal a higher binding affinity of OGs than longer polymers forthem as regulators of pathways that are linked physiologically, biochemically, or physically to aspects of cell wall biology.

The WAKs are like many other plant receptors in that they regulate some aspect of cell division or growth, but also affect aspects of the cell wall; perhaps WAKs are also cell wall sensors. But WAKs remain unique in that they are known to bind directly to a major structural component of the cell wall, pectin, which appears to influence a WAK-dependent signaling pathway regulating cell expansion. WAKs are also involved in the pathogen and stress responses, but are likely activated in this case by fragmented pectins. An understanding of how WAKs are regulated by the various forms of pectin in cell walls will be greatly aided by a detailed knowledge


---
abstract: |
    We study the effective weak chiral Lagrangian from the instanton vacuum. We incorporate the effective weak Hamiltonian into the effective low-energy partition function defining the chiral symmetric quark-Goldstone boson interactions with the momentum-dependent dynamical quark mass. Employing the derivative expansion and the $1/N_c$ expansion, we derive the corresponding bosonic weak effective Lagrangian in leading order with the low energy constants to be used [*e.g.*]{} in chiral perturbation theory. We find that the momentum-dependent dynamical quark mass plays an essential role in improving the low energy constants and their ratio $g_{\underline{8}}/g_{\underline{27}}$.

    [**Keywords:**]{} Instanton vacuum, Effective chiral Lagrangians, Kaon nonleptonic decays, $\Delta T=1/2$ rule, Derivative expansion.
author:
- 'Mario Franz$^{(1)}$ [^1], Hyun-Chul Kim$^{(2)}$ [^2], and Klaus Goeke$^{(1)}$ [^3]'
date: July 2001
title: |
   $I_0$, $I_1$, $K_0$, and $K_1$ denote the modified Bessel functions, $z$ is defined as $z=k/(2\Lambda)$ and the cutoff parameter $\Lambda$ is in this case just the inverse of $\bar{\rho}$. When $k$ goes to infinity, $F(k/\Lambda)=F(k\bar{\rho})$ becomes $$F(k\bar{\rho}) \longrightarrow \frac{6}{(k\bar{\rho})^3}.$$

Actually, the momentum-dependent quark mass is related to the nonlocal regularization in Euclidean space. There are other ways of understanding the nonlocal effective interaction without relying on the instanton vacuum [@Ripka]. In those methods, the momentum-dependent quark mass as a regularization appears as delocalizing the quark fields. So, various types of the $M(k)$ as a regulator with the regularization parameter $\Lambda$ has been used by different authors [@Petrovetal; @Praszalowicz:2001wy; @GolBroRip].

Therefore, we will not confine ourselves to the expression given in Eq.(\[Eq:fofk\]) but rather try three different types of the $M(k)$: $$M(k) =


x} {\rm tr} \ln
\left(\frac{D^\dagger D}{D^{\dagger}_{0} D_0} \right) e^{i k x} \cr
&=& -\frac{N_c}{2} \int d^4 x \int \frac{d^4 k}{(2\pi)^4}
{\rm tr} \ln
\left(\frac{D^\dagger(\partial \rightarrow \partial + i k)
 D(\partial \rightarrow \partial + i k)}
{D^{\dagger}_{0}(\partial \rightarrow \partial + i k)
D_0(\partial \rightarrow \partial + i k)} \right) \cdot 1.
\label{Eq:Seff}\end{aligned}$$ Here we used a complete set of plane waves for the calculation of the functional trace, summed over all states and took the trace in $x$. ’tr’ then denotes the usual matrix trace over flavor and Dirac indices. The rhs. of Eq.(\[Eq:Seff\]) can now be expanded in powers of the derivatives of the pseudo-Goldstone boson fields, $\rlap{/}{\partial} U^{\gamma_5}$, and of $2ik \cdot \partial+\partial^2$. After some manipulation using $$\begin{aligned}
\lefteqn{
D^\dagger(\partial \rightarrow \partial + i k)
 D(\partial \rightarrow \partial + i k) =
 \left(i\rlap{/}{\partial} -\rlap{/}{k}
-i\sqrt{M(-i\partial + k)}U^{-\gamma_5}S=1,2$ concentrating on the calculation of $g_{\underline{8}}$ and $g_{\underline{27}}$. We used the chiral quark model from the instanton vacuum as framework and incorporated the weak interaction by the effective Hamiltonian of Buchalla, Buras, and Lautenbacher [@Burasetal]. The calculation has been done in a first step to order ${\cal O}(p^2)$ and to LO and NLO in the $1/N_c$ expansion. In contrast to the previous work by Ref. [@FranzKimGoeke], we used a momentum-dependent constituent quark mass $M(k)$ as it arises from the instanton vacuum, which makes $g_{\underline{8}}$ be closer to its corresponding empirical value. However, the $g_{\underline{27}}$ is untouched by the present work, so that it is not at all improved, since it is independent of $M$.

For their ratio $g_{\underline{8}}/g_{\underline{27}}$, this simple feature enlarged the values by about $50$ $\%$ to $100$ $\%$ and


hence very much improved the theoretical values compared with the empirical ones. In fact we tried various shapes of $M(k)$. However, the best values were obtained for the $M(k)$ from the instanton model of Diakonov and Petrov [@DP1; @DP2] and $M_0\simeq 230$ MeV. Altogether the empirical value of $g_{\underline{8}}/g_{\underline{27}}$ with the $M_0$ constrained to the quark and gluon condensates is still underestimated and one is still away from an explanation of the $\Delta T=1/2$ rule. However, the conclusion is very clear: If one wishes to derive the effective weak Lagrangian from the instanton vacuum of QCD by means of the chiral quark model the use of a momentum-dependent quark mass seems to be indispensable.

Acknowledgments {#acknowledgments .unnumbered}
===============

The work is supported in part by COSY, DFG, and BMBF. The work ofempirical value of $|g_{\underline{8}}|$ is approximately $3.6$ which is drawn in the dotted line.

![image](g27Nc.ps){width="15cm" height="12.0cm"}

[**Fig. 8**]{} The LO and NLO contributions to the $g_{\underline{27}}$ in the large $N_c$ expansion. The long-dashed curve represents the LO contribution, the dot-dashed one the NLO contribution, and the solid one the full result. The empirical value of $|g_{\underline{27}}|$ is approximately $0.29$ which is drawn in the dotted line.

![image](g8Qdep.ps){width="15cm" height="12.0cm"}

[**Fig.9**]{}: Contributions of each quark operator $Q_i$ to the low energy constant $g_{\underline{8}}$ as a function of $M(k)$. The long-dashed curve denotes the contribution of the $Q_2$, while the short-dashed one draws that of the $Q_1+Q_2$. The dot-dashed one depicts the $g_{\underline{8}}$ with $Q_6$ added and the solid curve represents the full result. The empirical value of $|g_{\underline{8}}|$ is approximately $3.6$ which is drawn


information, right-click on My Computer and check the Installed Memory (RAM) information.

For STM servers, the total Java RAM requirement is the cumulative value of the following services:

Collector

Event Receiver

Maintenance

Polling engine

Apache Tomcat

MySQL

To individually verify the values:

Open the STM Web Console and click the left navigation pane.

Click Storage Manager Health Status to display the RAM allocation for each service.

For STM agents, the total Java RAM requirement by default is 512 MB XMX.

To verify this information:

Stop the SolarWinds Storage Manager Collector service (STM server) or the SolarWinds Storage Manager Agent service (STM agent) using services.msc.

Go to C:\Program Files\SolarWinds\Storage Manager Agent\.

Open the Storage Manager Agent.ini file in Notepad.

Locate the following lines and change the XMX value:[defines] EXT_ARGS=-XX:MaxPermSize=256M -Xrs -Xms67108864 -Xmx536870912 -Djsnmp.ignoreV1V2PduSizeLimit=true -Djava.net.preferIPv4Stack=true -Duser.language=en -Duser.region=US -Dsun.nio.ch.disableSystemWideOverlappingFileLockCheck=true -Dsun.lang.ClassLoader.allowArraySyntax=true -cp lib\kernel.jar com.tektools.bootstrap.BootRunner lib\core.jar Values with noskis incident to the advance direction without immediately crossing them, which inevitably leads to a fall.
In order to overcome the above mentioned drawback, braking devices for roller skis are known, which comprise braking calipers associated with the wheels and operated by means of levers seized by the user.


in black raspberry was analyzed by HPLC-DAD, the CEEs from A. usamii and A. awamori hydrolyzed 95.7% and 95.6% of C3R to C3G, respectively, after 2 h incubation. The CEEs from A. kawachii and A. oryzae did not convert C3R to C3G in black raspberry.Q:

How to Maintain Parameter name in Java?

I have created a Web Service in Java and I have declared my methods in the Interface.
int Add(int number1,int number2,int number3)

but when I consume the same in the client I get the parameter name as
int Add(int arg0,int arg1,int arg3)

How can I have the same name in client as I have declared in Interface.After creating client proxy.

A:

The reason for this is that Java stores parameter names in the binary .class file for classes, but not for interfaces. So, if you generate a WSDL from an SEI, and you haven't annotated the names, you will see these.
The easiest solution is to add @WebParam annotations to all of the parameters. In that annotations, you can repeat the name, and then it will be in the


if you have entered the code correctly.

Code: sherwood target

Golfers

Submit the case-sensitive code. You will hear Tiger Woods say OH YEAH if you have entered the code correctly.

Code: SHORTGAME

Golfers

Submit the case-sensitive code. You will hear Tiger Woods say OH YEAH if you have entered the code correctly.

Code: SIXSHOOTER

Golfers

Submit the case-sensitive code. You will hear Tiger Woods say OH YEAH if you have entered the code correctly.

Code: SOSWEET

Golfers

Submit the case-sensitive code. You will hear Tiger Woods say OH YEAH if you have entered the code correctly.

Code: TEMPTING

Golfers

Submit the case-sensitive code. You will hear Tiger Woods say OH YEAH if you have entered the code correctly.

Code: THEBEEHIVE

Golfers

Submit the case-sensitive code. You will hear Tiger Woods say OH YEAH if you have entered the code correctly.

Code: THEGIANTOYSTER

Golfers

Submit the case-sensitive code. You willthe Wigner caustic and affine equidistants {#SecGeneralProperties}
========================================================

A smooth parametrized curve $M$ on the affine plane $\mathbb{R}^2$ is the image of $C^{\infty}$ smooth map $I\to\mathbb{R}^2$, where $I$ is an open interval in $\mathbb{R}$. The image of $C^{\infty}$ map $S^1\to\mathbb{R}^2$ is called a smooth *closed* curve. If the velocity of a smooth curve does not vanish, then the curve is called *regular*. A curve with no intersection points is called *simple*. A *convex* curve is a regular simple closed curve if its curvature does not vanish. If there exists $\varepsilon>0$ such that $f\big((s_0-\varepsilon, s_0+\varepsilon)\big)$ is a $C^k$ smooth $1$ - dimensional manifold, where $k=1, 2, \ldots$ or $\infty$ and $(s_1,s_2)\ni s\mapsto f(s)\in\mathbb{R}^2$ is a parameterization of $M$, then a point $f(s_0)$ is called a *$C^k$ regular point* of $M$. If


Under the assumptions of Proposition \[ThmSingCurv1\] if we replace (iv) with

-   $\mathcal{F}_0, \mathcal{F}_1$ are curved in the same side at $p_0, p_1$ and $q_0, q_1$,

then the set ${{\text{E}}}_{\lambda}(\mathcal{F}_0\cup\mathcal{F}_1)$ has a singular point

-   for every $\displaystyle
    \lambda\in\left[\frac{\rho_{\min}}{\rho_{\min}-1},\frac{\rho_{\max}}{\rho_{\max}-1} \right]\cup\left[1-\frac{\rho_{\max}}{\rho_{\max}-1}, 1-\frac{\rho_{\min}}{\rho_{\min}-1}\right]$ if $\rho_{\min}>1$,

-   for every $\displaystyle
    \lambda\in\left(-\infty, 1-\frac{\rho_{\max}}{\rho_{\max}-1}\right]\cup\left[\frac{\rho_{\max}}{\rho_{\max}-1}, \infty\right)$ if $\rho_{\min}<1<\rho_{\max}$.

Proposition \[CorSingCurv1\] and Proposition \[CorSingCurv2\] are the limiting versions of Proposition \[ThmSingCurv1\] and Proposition \[PropSingCurv2\], respectively.

\[CorSingCurv1\] Let $\mathcal{F}_0$, $\mathcal{F}_1$ be embedded curves with endpoints $p_0, q_0$ and $p_1, q_1$, respectively, such that

(i) $p_0, p_1$ and $q_0, q_1$ are parallel pairs,

(ii) for every point $a_1$ in $\mathcal{F}_1$ there exists a point $a_0$ in $\mathcal{F}_0$ such that $a_0, a_1$ is a parallel pair,

(iii) $\kappa_{\mathcal{F}_0}(a)>0$ for every $a\neq p_0$, $\kappa_{\mathcal{F}_0}(p_0)=0$, $\kappa_{\mathcal{F}_1}(q_1)=0$ andto study singularities of affine $\lambda$–equidistants (see Figure \[FigTwoInflPts\]). In Figure \[FigTwoInflPts\](i) and in Figure \[FigTwoInflPts\](ii) we present arcs which satisfy the assumptions of Propositions \[CorSingCurv1\] and Proposition \[CorSingCurv2\], respectively. Notice that $p_0$ and $q_1$ are inflexion points. By Proposition \[CorSingCurv1\] for all $\lambda\in (0,1)$ an affine $\lambda$–equidistant of a set $\mathcal{F}_0\cup\mathcal{F}_1$ in Figure \[FigTwoInflPts\](i) is singular. Similarly, for all $\lambda\in(-\infty,0)\cup(1,\infty)$ an affine $\lambda$–equidistant of a set $\mathcal{F}_0\cup\mathcal{F}_1$ in Figure \[FigTwoInflPts\](ii) is singular. Furthermore, in Figure \[FigTwoInflPts\](iii) we present arcs $\mathcal{F}_1$, $\mathcal{F}_2$, $\mathcal{F}_3$, $\mathcal{F}_4$ of one curve such that:

-   arcs $\mathcal{F}_1$, $\mathcal{F}_4$ and arcs $\mathcal{F}_2$, $\mathcal{F}_3$ satisfy the assumptions of Proposition \[CorSingCurv1\],

-   arcs $\mathcal{F}_1$, $\mathcal{F}_3$ and arcs $\mathcal{F}_2$, $\mathcal{F}_4$ satisfy the assumptions of Proposition \[CorSingCurv2\],

therefore for all $\lambda\neq 0, 1$ an affine $\lambda$–equidistant of


           Plaintiff – Appellant,

          v.

SHARON L. HANCOCK, in individual capacity; SHARON L.
HANCOCK, Clerk of the Circuit Court for Charles County (in
official capacity),

                       Defendants - Appellees.

Appeal from the United States District Court for the District of
Maryland, at Greenbelt.    Deborah K. Chasanow, Senior District
Judge. (8:11-cv-02417-DKC)

Submitted:   October 7, 2016                 Decided:   October 24, 2016

Before WILKINSON, KING, and KEENAN, Circuit Judges.

Affirmed by unpublished per curiam opinion.

Mark A. Panowicz, Appellant(9.2 ppg), Kent (9.2 ppg), Samuels (9.0 ppg), sophomore guard
Dominique Sutton (7.8 ppg), Colon (5.3 ppg), and sophomore forward Ron Anderson (4.8 ppg).

Those eight players average at least 18.5 minutes per game, while
junior guard Buchi Awaji averages 2.8 points in 9.2 minutes per game.

KSU won't be bashful about shooting the three ball with Brown, Clemente
and Pullen all attempting over 100 treys this season. Brown is shooting
a lethal 45 percent from beyond the arc, followed by Clemente at 38.5
percent and Pullen and Kent at 33.3 percent each.

The Wildcats only shoot 44.2 percent from the field, but average 76.9
points while holding foes to 65.4 ppg and 40.9 percent shooting.
K-State is a strong rebounding team, holding a 39.5 to 32.8 edge on the
glass. KSU has five players averaging at least 4.8


Q:

Subset records between timestamps

I have two data frames, trips which are unique trips taken by bikes that have a unique id, and intervals, which show the locations of bikes ids at every 10 minutes.  My objective is to remove records from intervals if time falls in between start and finish and bike_ids are the same.  Time is of posixCT class and the original dataframes have hundreds of thousands of records
For example, the outcome of these two datasets below should be:
> trips
  bike_id               start              finish
1       1 2017-11-22 15:52:36 2017-11-22 17:47:53
2   Q:

Annual Stack Overflow Awards

Stack Overflow should create it's own annual awards, like the Oscars, Tonys, Grammy, People's Choice, etc. Of course there'd be the top rep earner for the year, but I can easily think of other fun and meaningful awards for things like best answer and best question, and distinguish these from highest-voted question and answer. Also best edit, rookie of the year... I could go on.
One of the things Stack Overflow has been great at is designing incentives that encourage good behaviors, and I think this would fall right in there with the badge system. Award winners could even get a gold badge in addition to whatever trophy (real or virtual) we wanted to create.

A:

I like this idea.
I say we test it: post your nominations


for "Best Edit of 2014" in the comments below this post.
I don't have any trophies, but I'll pledge to send a waffle to the editor behind the top-voted edit, if I can convince them to give up their address.

If it works, maybe we can find a way to bronze a waffle. Or think of better trophy ideas.

therefore always allows to study SLE in a suitable reference domain. *(ii) Domain Markov property:* if we condition on a first portion of the curve, say $\gamma'$ from $x_0$ to $z\in \mathbb{D}$, then the remainder $\gamma\backslash\gamma'$ has the law $\mu_{\mathbb{D}\backslash\gamma',z,x_\infty}$. The curves/hulls may be studied by Loewner’s method of slit mappings [@ahlfors:73]. For simply-connected domains, if we make the standard choice $\mathbb{D}=\mathbb{H}$ and $x_0=0$, $x_\infty=\infty$, and parametrise the curves $\gamma_t$ by a real parameter $t\geq 0$, then the conformal mapping $g_t:\mathbb{H}\backslash \gamma_t \to \mathbb{H}$ is solution of the *Loewner differential equation* $$\label{eqn:loewnerhp}
  \frac{{\mathrm{d}}g_t(z)}{dt}=\frac{2}{g_t(z)-W_t}, \qquad g_0(z)=z.$$ Here, the so-called *driving process* $W_t\in\mathbb{R}$ is the image of the tip of $\gamma_t$ (stricto sensu this form of Loewner’s equation is valid only for the particular parametrisation by half-plane capacity, see


equation [(\[eqn:driftsde\])]{} for $\kappa=2$. This is consistent with Zhan’s result on the scaling limit of planar LERWs on multiply-connected domains [@zhan:06_2]. The identification $H(x,p)=\langle\psi_{1,2}(0)\psi_{1,2}(x)\rangle_{\mathbb{T}_p}$ implies that $H(x,p)$ must be solution of [(\[eqn:bdpde\])]{} with $\mathcal{O}=\mathbf{1}$. Indeed, this can be seen from [(\[eqn:defv\])]{}: since the Jacobi $\theta$-functions are particular solutions to Schrödinger’s equation $4\pi i\,\partial\theta_1(z|\tau)/\partial\tau=\theta_1''(z|\tau)$, we conclude that $v(z,p)$ solves the (1+1)-dimensional *Burgers equation* $$\label{eqn:burgers}
  \frac{\partial v(z,p)}{\partial p} = v(z,p)v'(z,p)+v''(z,p).$$ Using this equation it is straightforward to derive $$\label{eqn:pdekernel}
 \fl \frac{\partial H(x,p)}{\partial p}= \left(\frac{\partial v(x,p)}{\partial x}+\frac{1}{p}\right)H(x,p)+v(x,p)H'(x,p)+H''(x,p).$$ Comparison with [(\[eqn:bdpde\])]{} for $\kappa=2$ and $h_{1,2}(\kappa=2)=1$ implies that the partition function is given by $$Z(p)= \frac{p}{\pi} \,\eta\left(\frac{ip}{\pi}\right)^2
  \label{eqn:partfunc}$$ up to a multiplicative constant. Here $\eta(\tau)$ denotes Dedekind’s $\eta$-function $\eta(\tau)=e^{i\pi\tau/12}\prod_{n=1}^\infty (1-e^{2i\pi n\tau})$ [@abramowitz:70]. Let us stress that [(\[eqn:partfunc\])]{} is in accordance withmodular property $\theta_1(z|\tau)=\varepsilon \exp(-i\pi z^2/\tau)\theta_1(z/\tau|-1/\tau)/\sqrt{\tau}$ where $|\varepsilon|=1$. It allows to derive the formula $$v(x,p)=\frac{i\pi }{p}\,v\left(\frac{i \pi x}{p},\frac{\pi^2}{p}\right)-\frac{x}{p}.$$ By virtue of this relation, it is easy to verify the equivalence of [(\[eqn:exkernel\])]{} and [(\[eqn:exkernel2\])]{}.

Ward identities on doubly-connected domains {#app:ward}
===========================================

In this appendix we shall present a short derivation of the Ward identities for doubly-connected domains. We shall follow the strategy of [@bernard:88], however see also [@eguchi:87] for conformal Ward identities on general Riemann surfaces.

We start from boundary conformal field theory in the upper half-plane. In fact, for any $p$ we may map $\mathbb{T}_p$ to a semi-annular region in $\mathbb{H}$ with inner and outer radius identified as shown on figure \[fig:semiannulus\]. Boundaries are given by the intervals $[-1,-q]$ and $[q,1]$ where $0<q<1$ is related to $p$ via $q=e^{-2\pi^2/p}$. On those two


half-plane has to be interpreted as holomorphic dependence on $w^\ast$ in the lower half-plane. In fact, this is a reminiscent of Schwarz reflection. It may physically be understood as insertion of mirror images in the lower half-plane (see figure \[fig:semiannulus\]). For a primary operator $\Phi(w,\bar{w})$ we have the commutation relation $$\fl [L_n,\Phi(w,\bar{w})]
=\left[w^n\left(w\frac{\partial}{\partial w}+h(n+1)\right)+\bar{w}^n\left(\bar{w}\frac{\partial}{\partial \bar{w}}+h(n+1)\right)\right]\Phi(w,\bar{w}).
\label{eqn:commutator}$$ Moreover, combination with the cyclicity of the trace operation in [(\[eqn:cftcf\])]{}, the relation $[L_n,q^{L_0}]=(1-q^n)q^{L_0}L_n$ and the definition of the energy-momentum tensor $T(z)=\sum_{n\in \mathbb{Z}} L_n z^{-n-2}$ leads to $$\begin{aligned}
  \tr (q^{L_0} T(z)\Phi(w,\bar{w}))-q\frac{\partial}{\partial q}\tr \left(q^{L_0}\Phi(w,\bar{w})\right)\nonumber\\
  \qquad = \left(G(z,w)\frac{\partial}{\partial w}+ h \frac{\partial G(z,w)}{\partial w}+(w\to \bar{w})\right)\tr q^{L_0}\Phi(w,\bar{w})\end{aligned}$$ where the function $G(z,w)$ is defined by the series expansion $$\fl G(z,w)= \frac{w}{z^2}\sum_{n\neq 0}\frac{1}{1-q^n}\left(\frac{w}{z}\right)^n=\frac{w}{z^2}\left(\sum_{n=0}^\infty\frac{wq^n}{z-wq^n}+\sum_{n=-\infty}^{-1}\frac{z}{w-zq^n}\right).$$ The second expansion may be considered as meromorphic continuation $G(z,w)$. As a function of $z$Dedekind’s $\eta$-function as $\left.\det(-\Delta)\right |_{\mathrm{reg.}} = \eta(i\pi/p)^2$. Using the modular property $\eta(\tau)=\eta(-1/\tau)/\sqrt{-i\tau}$ we find $$\left.\det(-\Delta)\right |_{\mathrm{reg.}} = \frac{p}{\pi}\,\eta\left(\frac{ip}{\pi}\right)^2$$ as claimed in [(\[eqn:partfunc\])]{}.

References {#references .unnumbered}
==========

[28]{}

Oded Schramm, , Israel J. Math. [**118**]{} (2000) 221–288.

Gregory F. Lawler, Oded Schramm and Wendelin Werner, , Ann. Probab. [**32**]{} (2004) 939–995.

Dapeng Zhan, , Prob. Theory and Relat. Fields [**129**]{} (2004) 340–380.

Dapeng Zhan, , Electr. J. Prob. [**11**]{} (2006) 1069–1093.

Dapeng Zhan, , arXiv:math.PR/06100304 (2006).

Lars V. Ahlfors, , McGraw-Hill, 1973.

Gregory F. Lawler, , American Mathematical Society, 2005.

Michel Bauer and Denis Bernard, , Commun. Math. Phys. [**239**]{} (2003) 493–521.

Michel Bauer and Denis Bernard, , Phys. Rep. [**432**]{} (2006) 115–221.

Oded Schramm, , Electr. Comm. Prob. [**6**]{} (2001) 115–120.

Milton Abramowitz and Irene Stegun, , Dover Publications, 1970.

Robert O. Bauer and Roland M. Friedrich, , Math. Z. [**258**]{} (2008) 241–265.

Zeev Nehari, , Dover Publications, 1982.

Michel


Bauer and Denis Bernard, , in [*Conformal Invariance and Random Spatial Processes*]{}, NATO Advanced Study Institute, 2003.

Philippe Di Francesco, Pierre Mathieu and David Sénéchal, , Springer, 1997.

John Cardy, , Nucl. Phys. [**B240\[FS12\]**]{} (1984) 514–532.

Tohru Eguchi and Hirosi Ooguri, , Nucl. Phys. [**B282**]{} (1987) 308–328.

Michel Bauer, Denis Bernard and Kalle Kyt[ö]{}l[ä]{}, , J. Stat. Phys. [**132**]{} (2008) 721–754.

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Michel Bauer, Denis Bernard and Tom Kennedy, , arXiv:0806.2246 2008.

Michel Bauer, Denis Bernard and Jeremie Houdayer, , J. Stat. Mech. (2005) P03001.

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and accessibility.

The production of this 2015/16 report was delayed by Archives staff being unable to work from our Mulgrave Street building for a period after the Kaikōura earthquake. An addendum has been included to summarise the impacts of this event on the record of government and to briefly outline some regulatory work undertaken in the 2016/17 year.

This report provides an assessment of the state of government recordkeeping and is issued by the Chief Archivist under section 32 of the Public Records Act 2005 (the Act). The Act also requires a report on the audits of recordkeeping practices undertaken by Archives. Following completion of the first five year audit programme during 2014/15, no new audits were undertaken during 2015/16. The Act requires public offices to be audited again noto update Archives on any loss of records.

The Christchurch Regional Archivist checked on the status of public offices and local authorities in North Canterbury, Kaikōura and Marlborough after the earthquake. To date, no loss of records has been reported by those organisations.

Such losses would constitute disposal under the Act. Archives is therefore developing a disposal authority in response to the Kaikōura earthquake, similar to the approach taken after the 2011 Christchurch earthquake. This authority makes any losses a lawful disposal. The process of applying the disposal authority means that affected public offices identify losses of records, including any that need to be made good to support current business needs. Documenting any losses also allows any gaps in the public archive to be understood in the future.

Archives surveyed public


offices (except schools) and local authorities in three tranches in late 2016 and early 2017.2 The short survey sought a whole-of-system view of information and records management. It is intended to inform the next steps we will take to drive effective information and records management. The survey sought information about:

the volumes and types of records being created and managed in government

the capabilities and capacities that exist to manage records, both current and legacy

the ability of public offices to prepare for the transfer of digital records to Archives.

Analysis of the survey results is still under way, but indications of matters that should be pursued come from the raw results for the first tranche of surveyed public offices:

57% had no current information asset register, or similar, 18% had one andCaptain) asked that members intending to go to the Club Training Weekend & CompasSport Cup (16/17 Mar 2019), let her know by Christmas;

LG thanked everyone for participating and helping at the SCORE competition.

10

Chairperson’s Closing Remarks

The outgoing Chairperson (LW) thanked everyone for attending the AGM, and for their contributions throughout the year in terms of volunteering and competing with the Club.

GK (incoming Chairperson) thanked LW for her hard work and dedication, and presented a gift-hamper on behalf of the members.


Q:

Regex find time values

I keep getting into situations where I end up making two regular expressions to find subtle changes (such as one script for 0-9 and another for 10-99 because of the extra number)
I usually use [0-9] to find strings with just one digit and then [0-9][0-9] to find strings with multiple digits, is there a better wildcard for this?
ex. what expression would I use to simultaneously find the strings
    6:45 AM and 10:52 PM

A:

You can specify repetition with curly braces. [0-9]{2,5} matches two to five digits. So you could use [0-9]{1,2} to match one or two.
[0-9]{1,2}:[0-9]{2} (AM|PM)
I personally prefer to use \d for digits, thus
\d{1,2}:\d{2} (AM|PM)

awaiting its turn across the Governor’s desk. You’ll recall this legislation clarifies that the state may only obtain an ownership interest in a water right or ground water development works if a court determines the state is an owner of that right or if the state is in possession of a deed transferring ownership of the water right to the state.

Solidifying HB 286 in state law is a positive step for the protection of property and water rights in Montana. While we anxiously await a signature from Governor Bullock, it’s important to thank the legislators, especially bill sponsor Representative Alan Redfield of Livingston, for their work in passing HB 286 and protecting Montana agriculture.

In the meantime, there are many Farm Bureau supported bills that have passed both houses


restrict livestock imports and more. The Department also uses this funding source to administer programs that prevent the spread of animal diseases to humans.

SB 133 was amended to clarify that, except for a tribal member or entities that are not subject to Per Capita reporting, a livestock producer may not receive a reimbursement payment until any delinquent Per Capita fees are paid.

This bill requires an individual applying for a water right or a change in appropriation right to provide notice to other water users on a shared conveyance facility, such as a canal, ditch, flume, pipeline, or other constructed waterway. Were HB 505 to pass, applications for a permit or change in appropriation right would not be “correct and complete” until the applicant had submitted proof to DNRC"immunological." Retrospective data concerning liver disease before transplantation, clinical and biopsy proven rejection episodes before entrance to the study, type of immunosuppression (basiliximab induction, type, and number of immunosuppressive drugs), and HBV and HCV infection status were taken from patients\' medical records. Liver diseases before transplantation were arbitrary divided as "immunological" (autoimmune hepatitis, primary sclerosing cholangitis, and primary biliary cirrhosis) and "nonimmunological." Acute graft rejection episode during first 6 months after transplantation was categorized as early rejection. Clinically suspected acute graft rejection episodes were diagnosed based on sharp elevation of liver enzymes which normalized after treatment with methylprednisolone pulses and/or with an increase in tacrolimus dose. HBV infection was diagnosed on the basis of repeated presence of anti-HBc antibodies and HCV infection diagnosis was based on positive anti-HCV