Q:

Number field of degree 5

I am interested in field extensions of the rationals. About degree 3 extensions there are many refrences including the famous paper of Shanks "The Simplest Cubic Fields". In particular he gave generating polynomial for all such extensions. Later people then classified the parameters of this cubic equation.
I am interested in finding out if any similar results exist in degree 5 and higher cases. Kindly provide refrences if any.

A:

A. Schwarz, M. Pohst, and F. Diaz y Diaz have computed all quintic number fields of absolute discriminant bounded by $2\cdot 10 ^7$ in case of totally real number fields, and respectively $5\cdot 10^6$ for other signatures. There are $22740$ totally real fields with discriminant less than $2 \cdot  10^7$, by the way. The generatingZhang Caiqin（張才琴）, Doctor candidate of Management School in Wuhan University of Technology. Associate professor of Law School in Chongqing University Chongqing, 400040, P.R. China. 中國，武漢理工大學管理學院博士生，重慶大學法學院副教授。 通訊地址：中國重慶市武漢理工大學管理學院，400040。 Email: caiqins@126.com

Forest Eco-ervironment Protecyion ＆ Population Restriction

Cai-qin ZGANG

Abstract

Forest is a ecological system with multi-benefits.Since it plays a crucial part in global ecological safety and sustainable development of economic society and contributes great to human beings, forest should be emphasized, protected and developed. This passage analyses reasons why forest ecological environment in the west deteriorates, and points out that the major reason is that the need of providing against old age in the countryside leads to the excessively rapid increase of population which consequently result in overcultivation and overcut of forest. As for such cause, the passage put up ways of restraining further


to have had the experience of meeting Jesus personally. He was also glad that Jesus had ‘sent him back’.

WHAT???

At this point I began laughing hysterically. For goodness’ sake, THE DOCTORS TOLD HIM HE WOULD HAVE HALLUCINATIONS AS A RESULT OF THE MEDICATION!!! Did this guy forget what he had just told the audience only moments ago?

Afterwards I did a little research on Ketamine and found the following information:

Ketamine produces a dissociative state, characterised by a sense of detachment from one’s physical body and the external world which is known as depersonalization and derealization.At sufficiently high doses (e.g. 150 mg intramuscular), users may experience what is coined the "K-hole", a state of dissociation whose effects are thought to mimic the phenomenology of schizophrenia.Users may experience worlds or dimensions thatInsert earphones for speech recognition testing.
Performance-intensity functions for PB word lists were run on 19 normal-hearing subjects and 15 subjects with sensorineural hearing losses. Comparisons were made between standard supra-aural earphones (TDH-49P) and insert phones (ER-3A). Results showed that, at least for the higher sensation levels where word recognition tests are usually performed, the phones may be used interchangeably. Using insert earphones for word recognition tests can have several beneficial effects with respect to cross hearing and masking.


Vitamin B6 and B12 Supplements Appear to Cause Cancer in Men - simulate
https://www.theatlantic.com/health/archive/2017/08/b12-energy/537654?single_page=true
======
saurik
As far as I understand, it is well documented that smoking correlates with B12
deficiency, and so many smokers take this vitamin as a supplement to make
themselves feel better about their smoking habits.

This study then showed, not just that people got cancer, but they got lung
cancer. This study was not a randomized trial that can show causation: it was
a cohort study, where they ask a bunch of questions about peoples' past or
ongoing behavior and then look for correlations from which you can try to
guess at potential causes.

In a cohort study, there are attempts to predict confounding variables and
"control" for them, but this involves essentially assuming the result and
backing out the math, and assumes you trust that thewho gets injections via cyanocobalamin
every other month I feel like I’ve just been hit with more FUD

~~~
kobeya
Go about your day. This is not at the level of certainty to be actionable.

------
lcurrit
I'm surprised the article doesn't mention energy drinks at all. Isn't one of
the major selling points of many energy drinks is the amount of B vitamins
present? My guess is the amounts the article refers to are much higher
concentrations than your average Monster / Redbull / Rockstar.

------
twiss
Vitamin B12 deficiency is common in people who have been vegetarian for many
years. (Others usually have a large reserve.) From the speculation in the
article, it sounds like they'd be better off taking (normal) doses of it,
since it's deficiency or excess that could cause cancer, and not the pills:

> Deficiency can also mean genes


version to be published. QC and WX contributed to the analysis and interpretation of all data and drafted the article. XX and LZ revised the article critically for important intellectual content. All authors read and approved the final manuscript.

Competing interests {#FPar2}
===================

The authors declare that they have no competing interests.
yield seven-sacks with a zero sack effort versus Tampa. Wilson still got hit, and hit hard, but the sack shutout should not be overlooked. It was the first game since Week 8 of last season that the Seahawks had not surrendered a sack. Only three teams in the NFL this season have allowed zero sacks and averaged at least 5.6 yards per carry.

FACT: Only three teams in the NFL this season have allowed zero sacks and averaged at least 5.6 yards per carry in a game. Seattle is one of them.

That helped Seattle to more sustained drives than at any other point in the season. The Seahawks registered six drives of over 50 yards. They had not had a game of more than four such drives before Sunday.


Stella.defineFunctionObject("DYNAMIC-SLOT-VALUE", "(DEFUN (DYNAMIC-SLOT-VALUE OBJECT) ((DYNAMICSLOTS KEY-VALUE-LIST) (SLOTNAME SYMBOL) (NULLVALUE OBJECT)) :PUBLIC? TRUE)", Native.find_java_method("edu.isi.stella.KeyValueList", "dynamicSlotValue", new java.lang.Class [] {Native.find_java_class("edu.isi.stella.KeyValueList"), Native.find_java_class("edu.isi.stella.Symbol"), Native.find_java_class("edu.isi.stella.Stella_Object")}), null);
          Stella.defineFunctionObject("SET-DYNAMIC-SLOT-VALUE", "(DEFUN (SET-DYNAMIC-SLOT-VALUE OBJECT) ((DYNAMICSLOTS KEY-VALUE-LIST) (SLOTNAME SYMBOL) (VALUE OBJECT) (NULLWRAPPER WRAPPER)) :PUBLIC? TRUE)", Native.find_java_method("edu.isi.stella.KeyValueList", "setDynamicSlotValue", new java.lang.Class [] {Native.find_java_class("edu.isi.stella.KeyValueList"), Native.find_java_class("edu.isi.stella.Symbol"), Native.find_java_class("edu.isi.stella.Stella_Object"), Native.find_java_class("edu.isi.stella.Wrapper")}), null);
          Stella.defineFunctionObject("STANDARD-DYNAMIC-SLOT-ACCESS?", "(DEFUN (STANDARD-DYNAMIC-SLOT-ACCESS? BOOLEAN) ((SLOT STORAGE-SLOT)))", Native.find_java_method("edu.isi.stella.StorageSlot", "standardDynamicSlotAccessP", new java.lang.Class [] {Native.find_java_class("edu.isi.stella.StorageSlot")}), null);
          Stella.defineFunctionObject("YIELD-DOWN-CAST-TREE", "(DEFUN (YIELD-DOWN-CAST-TREE CONS) ((TREE CONS) (RETURNTYPE TYPE-SPEC)))", Native.find_java_method("edu.isi.stella.Cons", "yieldDownCastTree", new java.lang.Class [] {Native.find_java_class("edu.isi.stella.Cons"), Native.find_java_class("edu.isi.stella.StandardObject")}), null);
          Stella.defineFunctionObject("YIELD-STANDARD-DYNAMIC-SLOT-VALUE-TREE", "(DEFUN (YIELD-STANDARD-DYNAMIC-SLOT-VALUE-TREE CONS) ((SLOT STORAGE-SLOT) (OBJECTREF OBJECT) (RETURNTYPE TYPE-SPEC)))", Native.find_java_method("edu.isi.stella.StorageSlot", "yieldStandardDynamicSlotValueTree", new java.lang.Class [] {Native.find_java_class("edu.isi.stella.StorageSlot"), Native.find_java_class("edu.isi.stella.Stella_Object"), Native.find_java_class("edu.isi.stella.StandardObject")}),not traveling—it’s simply in our blood, and we won’t be happy living in one place for a long period of time.

When will you stop?

Never, and we hope we won’t have to any time soon. Our wish and goal are to travel for many more years to come—at least until we have seen what we have planned. Who’s to say we won’t change our minds in the future, but until then we’ll remain modern-day nomads.


inferences about the presence of post-stroke cognitive impairment with and without dementia, factors influencing its development, whether it is more often cortical or subcortical, and the evolution of cognitive impairment over time.

Results
=======

The study group comprised of 50 patients of whom 32 were males and 18 were females with a mean age of 61.82 years. Eighty percent had studied up to grade 10 or more. Infarcts were seen in 37 and haemorrhages in 13 patients. Of the 50 patients, 14 (28%) had normal cognition, 15 (30%) had dementia, and 21 (42%) had CIND as per the PGI BBD score (Figure [1](#FIG1){ref-type="fig"}). Thus, 36 (72%) had some form of cognitive impairment following a stroke. The domains that were commonly involved were retention for dissimilar pairs, visual retention, attention, and recognition.

Figureand length of follow-up \[[@REF2]\].

Although our study group included more females and a relatively younger population as compared to other studies, the prevalence of dementia was not low. This may have been due to the fact that haemorrhages and recurrent strokes were also included in this study. Moreover, the incidence of  dementia in hospital-based studies like this one are much higher than the incidence reported from the community-based Framingham Study in which the rate of dementia was 19.3% in stroke patients compared to 11.0% in controls over a 10-year period \[[@REF10]\]. This compares with an up to nine-fold increase reported in some cross-sectional studies. It is possible that strokes in the community sample were less severe. Cognitive dysfunction does not follow a linear time course after stroke. Short-term studies may over-diagnose


  HiveApp.id.download(s, imageView);

  //     id.DisplayImage(s, imageView);

    return imageView;
}

A:

I resolve it my self, you shoud add this to your layout xml
 android:listSelector="@drawable/panel_picture_frame_background"

and not this
imageView.setBackgroundResource(R.color.gridview_highlight_selector);

thanks

A:

Add an imageview_highlight_selector.xml file containing the following content to the drawable folder, and then call imageView.setBackgroundResource(R.drawable.gridview_highlight_selector);.
<?xml version="1.0" encoding="utf-8"?>
<selector xmlns:android="http://schemas.android.com/apk/res/android">
 <item android:state_pressed="true"
       android:drawable="@drawable/highlight_bg" /> <!-- pressed -->
 <item android:drawable="@drawable/normal_bg" /> <!-- default -->
</selector>

I would suggest you define your gridview item in an xml file, and then inflate that xml from inside your Java code, which would be neater.
EDIT:
If you only want to use color rather a drawable, you can add a color subfolder to the res folder, and add the following content as gridview_highlight_selector.xml to the color folder, andof bark.

In his upcoming residency, Spaid plans to change his subject matter slightly, by photographing the sites of wildfires where trees have been burnt as part of a natural cycle of destruction and regeneration. Spaid hopes to capture these scenes mostly at night, or by using the fading light at dusk.

As Spaid read more about trees, he became more fascinated by his subjects. One article he came across presented the theory that the simple presence of a tree outside a patient’s window in a hospital improves their chances of recovery. Another phenomenon he came across was the act of “forest bathing” — a term coined in Japan to refer to the act of walking through forests and the resulting physical effects, like lowered blood pressure and anxiety. He


Case: 16-14756       Date Filed: 07/18/2016      Page: 2 of 30

robbery, in violation of 18 U.S.C. § 2113(a) and (d)—that qualifies as a crime of

violence via § 924(c)’s residual clause. Hunt also asserts that his advisory United

States Sentencing Guidelines (Guidelines) sentence violates Johnson because it was

enhanced pursuant to the residual clause in the career offender provision of the

Guidelines—a clause that is also similar to the ACCA’s residual clause. However,

at this time, In re Hines2 forecloses Hunt’s § 924(c) claim, and United States v.

Matchett 3 forecloses his Guidelines-based claim.

      Hines narrowly held that an armed bank robbery, in violation of § 2113(a) and

(d), qualifies as a crime of violence under § 924(c)’s elements clause—as opposedor so

standardless that it invites arbitrary enforcement.” See Johnson v. United States,

576 U.S. ___, ___, 135 S. Ct. 2551, 2556–57 (2015). Post-Booker, 1 the touchstone

of appellate review of sentences is reasonableness—an inquiry that turns on a

district court’s application of the United States Sentencing Guidelines (Guidelines).

That is to say, Supreme Court precedent establishes an expectation that defendants

will receive reasonable sentences, and we rely on the Guidelines to determine

reasonableness. Because the Guidelines drive appellate review under this

sentencing scheme, fatally vague Guidelines provisions necessarily result in both

“arbitrary enforcement by [courts]” and denial of “fair notice.” See id. at 2557.

Therefore, vague Guidelines provisions violate the due process clause’s

void-for-vagueness doctrine. The Matchett2 panel’s decision to the contrary is

erroneous. And importantly, given the “central,” “significant role” that the

Guidelines play in sentencing, see Molina-Martinez v.


could the reviewing court

know that the correct Guidelines calculation included an enhancement under that

guideline? Surely doubling a defendant’s sentence based on nonsense would

violate due process. But in United States v. Matchett, 802 F.3d 1185 (11th Cir.

2015), we allowed defendants to continue to be sentenced to much more severe

sentences than they would otherwise receive, based on the residual clause of the

career-offender guideline, a guideline that the Supreme Court has found hardly more

scrutable than the hypothetical one above.

      No doubt criminal defendants do not have a due-process right to a sentence

within a particular Sentencing Guidelines range. But Congress can, and essentially

has, required courts to begin the sentencing process by correctly calculating the

Guidelines range. The question here is whether, when the Supreme Court strikes

language from adeparted from them].” Id. 553 U.S. at 713-14, 128 S. Ct at

2202.

        Put simply, Irizarry stands for only the proposition that a defendant has no

due-process interest in receiving a sentence within the Guidelines range. But

Irizarry says nothing about whether a defendant has a due-process right to a correct

and fair sentencing process under the Sentencing Guidelines. And while the

Supreme Court has not expressly spoken to such a right, the Court’s recent decisions

strongly indicate that the right exists.

        For starters, in Molina-Martinez v. United States, 578 U.S. ___, 136 S. Ct.


                    15
             Case: 16-14756     Date Filed: 07/18/2016    Page: 16 of 30

771, 787 (4th Cir. 2011) (Agee, J., concurring)), does not somehow magically

become clearer or more meaningful because the words appear in the guideline,

rather than in the ACCA.

      Because of this muddle, a sentencing court cannot ascertain whether the

challenged part of the career-offender guideline even applies when the guideline is

raised, so the court necessarily cannot correctly calculate the Sentencing Guidelines

range. As a result, the sentencing court cannot comply with the sentencing

process’s virtual statutory requirement that thebecause no constitutional

right to sentencing guidelines exists—I again respectfully disagree. True,

“legislatures remain free to decide how much discretion in sentencing should be

reposed in the judge or jury in noncapital cases.” Lockett v. Ohio, 438 U.S. 586,

                                          16
             Case: 16-14756    Date Filed: 07/18/2016   Page: 17 of 30

603, 98 S. Ct. 2954, 2964 (1978). But legislatures cannot, as Matchett would

apparently hold, cabin the sentencing discretion of judges by mandating that they

calculate a


*Please note, this product is only available in store and to order from the following branches; Brighton, Bristol, Cambridge, Chelsea, Cheltenham, Chiswick, Eton, Exeter, Glasgow, Holborn, Leeds, London City, Newcastle, Nottingham, Plymouth, Reading, Reigate, Solihull, Southampton, Stockport and Watford.

Unique magnetic structure for powerful soundUsing a powerful and unique magnetic structure and large, ultra thin-film diaphragms, the Audeze LCD-2 headphones give you a highly controlled and dynamic sound. Whether you're listening to the grandest orchestras or the most intense rock, the LCD-2 headphones respond with verve.

Made from the finest materialsAs well as the superb sound, it's easy to see where your money goes with these headphones. Supple leather ear pads remain comfortable for hours on end and feel luxurious next to your skin. The casings use wood accents forMS or MLV. She was a tough disciplinarian and nothing other than music was allowed to enter Jayashri's life.
She was woken up at 4 am and the important Brahma muhurtham was utilised to imprint the rudiments and niceties of classical music. "That is the time when the voice is fresh after a good night's sleep, the mind is clear and what is learnt leaves an indelible imprint on your personality, explains Jayashri. "No distractions were allowed. It was schooling at St. Antony's and music at home. I did not read any Amar Chitra Katha's, or know who Tin Tin was or realize that Mills and Boons were common reading material for teenagers in my circle.
Soon her mother realized that Jayashri needed a more qualified guru to broaden her


learning curve continued to rise and Jayashri expanded her horizons to take in ghazals, bhajans, Urdu and French. With wider exposure to the world of college and music, her self-confidence grew. "In the five years in college, I won every prize in music. I also developed the undying spirit to win.
Shri Lalgudi Jayaraman was a friend of the family. On a visit to their home, he heard her sing and invited her to come and learn music from him in Chennai. That season in Chennai, she took part in the Music Academy competitions and won prizes. Jayashri was soon convinced that she was not going back to Mumbai until she had done her Gurukulam with Shri Lalgudi.
"Lalgudi sir's way of teaching, his insight into music and the wayenter her mother's scheme of things. Jayashri was not ready to perform yet, but soon small opportunities came her way. Her cassettes first appeared in the public. The change between Mumbai and Chennai was an opportunity for Jayashri to discover herself. The new city, new people, even a new language different from the Palghat Tamil she spoke at home made a deep impression on her. She was intrigued to create her own space, to take the different aspects of music and life and to stamp it with her own personality. Mumbai was left behind.
In '92, her brother Sabesh took a transfer and came to Chennai to give Jayashri the moorings of home and family. In '96, she met Ramnath. "His sister plays the veena and a friendship grew.


OMP and PBWS are motorized using five motors, whereas *R*~1~, *R*~2~, and *R*~3~ are passive and embedded with compliance.

[Figure 3](#fig3){ref-type="fig"} shows the kinematic scheme of RAPBT and reference frames of PB, and the compliance of *R*~1~ is realized by a circular leaf spring that is installed inside of the parallelogram mechanism. When the parallelogram rotates, it deforms the leaf spring to generate a reset force against the rotation of *R*~1~, thereby providing a joint compliance. The compliance of *R*~2~ is accomplished by two linear springs that are installed in the lateral direction on both sides of the pendulum mechanism. When *R*~2~ rotates, the two springs deform to generate spring forces against the rotation of *R*~2~, thereby providing a joint compliance. The compliance of *R*~3~ is created in theRAPBT (normal walking, NW), walking with RAPBT without PB (WR), and walking with PB (PB). Normalized stride and step length, step width, gait velocity, lateral displacement, and rotation were collected to demonstrate effect of PB on the gait parameters.

4.3. Data Analysis and Discussion {#sec4.3}
---------------------------------

The original data were preprocessed through customized software provided by the control unit (Beckhoff PLC CX5130), and the information of three-dimensional markers was transformed into the gait parameters. The original data of three encoders were transformed into the lateral displacement of pelvis, pelvic tilt, and rotation according to the kinematic model. The force signals from the ATI sensors were preprocessed through the control unit and transformed into maximum and mean value through MATLAB for further analysis and interpretation. All data were analyzed with statistical software


Time:

80 minutes

Max control range:

50m (164 ft.)

Camera:

N/A

Controller type:

2.4G RC

The Holy Stone HS170 Predator is not as robust as some of the other quads in this guide. It has some tiny parts too, so it’s not ideal around small children unless supervised. That’s the bad news. There’s plenty to celebrate though, so let’s look at the Predators high points.

There’s the now familiar one-key flip & roll capability that comes with most UAVs. You’ve also got headless navigation mode to help make flying easier and less frustrating. It’s a study little quadcopter as well. It may not look all that tough but it can withstand some pretty hard knocks all the same.

There are three flight settings to choose from. I have to say the craft is quite slow to respond tothe lowest setting but it’s still a great mode for the raw beginner. There’s a notable difference in performance on the mid to high flight modes. The HS170 is great fun to fly either indoors or out. It hovers nicely, it’s quite nippy in the air, and it maneuvers really well.

The 8-minutes maximum flight time is on the high side of average for a drone in this class. Battery charging time is quite disappointing at 80+ minutes. For more fun invest in more batteries. The control range is an impressive 50 meters. I doubt you’ll want to venture that far out with a drone this small though. Make sure it never loses your line of sight if you do want to test it to the limits.

The Conclusion

The Holy


A change in reaction specificity of sheep liver serine hydroxymethyltransferase. Induction of NADH oxidation upon mutation of His230 to Tyr.
Both serine hydroxymethyltransferase and aspartate aminotransferase belong to the alpha-class of pyridoxal-5'-phosphate (pyridoxalP)-dependent enzymes but exhibit different reaction and substrate specificities. A comparison of the X-ray structure of these two enzymes reveals that their active sites are nearly superimposable. In an attempt to change the reaction specificity of serine hydroxymethyltransferase to a transaminase, His 230 was mutated to Tyr which is the equivalent residue in aspartate aminotransferase. Surprisingly, the H230Y mutant was found to catalyze oxidation of NADH in an enzyme concentration dependent manner instead of utilizing L-aspartate as a substrate. The NADH oxidation could be linked to oxygen consumption or reduction of nitrobluetetrazolium. The reaction was inhibited bybe larger half or full percentage point increases. Either way, the changes will affect anyone with a mortgage.

But there are ways to get ready.

Find out how much an interest rate rise will cost you

It’s worth looking at what the changes would mean to your interest rate and mortgage payment. You can use our home loan repayment calculator to work these figures out. Enter how much your original loan amount was and your original term. Then increase the interest rate by .25% .5% and even 1%. You’ll see the amount you’d pay each month.

See how much you can afford

A budget will show what money you have coming in, what money is going out, and most importantly, how much you have left at the end. Our budget planner tool will


home value has increased, it may mean you have increased equity and this could be used as a buffer if times get tough.

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Access One is currently one of the longest running brokers for the AFG network being inducted into the hall of fame in 2011.that the Crown must negotiate and sign treaties with the Indigenous people before land could be ceded to a colony, the Numbered Treaties were negotiated in most parts of the Prairie Provinces. The Government of the Colony of British Columbia, however, failed to negotiate many treaties and as a result, most of the province's land is not covered by treaties. The few exceptions are the 14 Douglas Treaties on Vancouver Island, Treaty 8 (1899) in the Northeast of B.C., and the 2000 Nisga'a Final Agreement.

Relations between Indigenous peoples and the B.C. government worsened over time, as the McKenna–McBride Royal Commission led to the redistribution of reserve lands and the Allied Tribes of British Columbia was essentially dissolved by an amendment to the Indian Act. First Nations were not


how neurogenesis may be modulated by intrinsic and epigenetic factors within these regions and how regional alterations in the pattern of division might contribute to microcephaly. We will use techniques of retroviral lineage analysis, optical imaging, time-lapse confocal microscopy, and electrophysiology to characterize progenitor divisions and answer the following questions: How do patterns of asymmetric and symmetric progenitor cell divisions generate neuronal diversity in the developing subcortical telencephalon? Do spatially distinct neurogenic niches determine the mode of cell division and patterns of neurogenesis? Does cleavage plane determine or predict progenitor fate? Do cell-extrinsic, fate determining signals such as GABA activate cortical VZ cells and promote symmetric progenitor divisions? Do regulators of cell cycle progression such as cyclin D2 influence cell cycle dynamics by promoting neurogenic division? Does thein the company and we had tried to figure out the looks of the game, but since we didn't have a straight understanding of the game - game designers were having a hard time figuring out what the game was about - it was hard to evaluate what we were achieving (not to say the stylized approach to art I was proposing was not pleasing many of the team members).

By then, we had developed a simple scene to have a look on what the game would look like and a not much successful proof of concept.

Image 1 - Some of the visual development created by the whole art team

Right after this delivery we had a major time cut in our schedule. We had around 3 months to deliver


system are unlikely to generate the same frequency even if their manufacturer listed frequencies are identical.
Two methods deployed for clock distribution in packet networks are synchronous-Ethernet (ITU-T G.8262) and IEEE 1588V.2. The synchronous-Ethernet method can distribute clock frequency information through locking of the Ethernet clock, but cannot distribute phase and TOD information. The IEEE 1588V.2 can distribute any type of clock information, but is much more sensitive to issues such as packet delay variation, packet loss and network behavior.Huge left ventricular pseudoaneurysm rupture in an African young adult patient.
A pseudoaneurysm of the ventricle is formed when there is rupture of the myocardial wall with the discontinuity being roofed over by the pericardium and mural thrombus or fibrous tissue without myocardial elements. Cardiac pseudoaneurysm is a rare and a potentially life-threatening event. Early prophylactic surgical aneurysmectomy has been the treatment of choice. In this context, we report an unusual case of giant left ventricular pseudoaneurysm, as a result of unknown aetiology, appearing like a pulsatile mass, which was easily seen from the chest wall, in a young female, successfully treated with surgery.


use CSS3 transitions or use a jQuery animation.
See this example JSFiddle for an idea. Press 'T' to alternate between the red and blue divs (you'll have to click on the div to put your focus on the document). I use a placeholder class .hidden (which has no styles attached; it is just  a placeholder) to keep track of which div is visible and hide/show accordingly.
$(document).ready(function(){

    $(document).keypress(function(e) {
        var key = e.which;
        if (key == 116) {
        // if the user pressed 't':
            if($(".red").hasClass("hidden"))
         KU reportedly makes offers to two Blue Springs football players

Rivals.com is reporting that KU has offered scholarships to two juniors from Blue Springs High in Missouri.

Running back Darrian Miller, 5-foot-10, 180 pounds, and cornerback Bernard Thomas, 5-11, 172, both attended KU’s Junior Day in early February. Kansas already has made an offer to Miller, and Thomas told Rivals earlier this week that KU assistant coach Reggie Mitchell informed him that an offer was on the way.


the comics, Mags is his father and there's a throwaway line alluding to it.

With the two casts jockeying for screen time, I was slightly astonished that much of the film takes place in the 70's with the First Class cast and Wolverine in a bit of a supporting role. I figured it would jump between time lines with conflicts reflecting each other a la Inception but for the most part, the present day cast is confined to what seemed like only a handful of meaty scenes which don't really utilize or showcase characters like Kitty Pryde, Iceman and Bishop or the actors who play them. That's actually a departure for this series that has always been so Wolverine centric and then gave Storm a boost at the expensehack but they guy knows how to make movies look good, always has great casts and has made fun flicks like Rush Hour and Rush Hour 2 with enjoyable mass market efforts like The Family Man, After the Sunset and Tower Heist. X3 isn't perfect, there's too many characters crammed in, Cyclops gets killed off after 4 minutes of screen time, blah blah but the same people who made Days, made The Last Stand and had no problem singing it's praises on the DVD features and commentaries. After director Matthew Vaughn jumped ship thinking he couldn't do what he wanted to do in the limited time frame, Ratner came in with little prep and made a perfectly fine X-Men movie because let's face it, X-Men isn't a masterpiece


and skeleton elongation. No obvious differences with respect to controls were observed in embryos/larvae exposed to low cadmium (10(-12) M), even after 30 days of exposure. Using in situ terminal deoxynucleotidyl transferase-mediated dUTP nick-end labeling assay (TUNEL) assay on larvae whole mounts, we detected apoptosis after 10 days of treatment with 10(-6) and 10(-9) M CdCl(2,) when no morphological abnormalities were recognizable yet. Supernumerary apoptotic cells were found in arm buds, ciliary bands, and apex. In conclusion, echinoderm embryos and larvae represent candidates of choice for the study of stress and defense mechanisms activated by cadmium exposure.into TiO 2 with a quantum yield Phi = 0.3 +/- 0.2 for 532.5 or 417 nm light excitation in a 0.1 M LiClO 4/acetonitrile electrolyte. In regenerative solar cells, a sustained photocurrent was observed with a maximum incident photon-to-current efficiency of 0.4. The photocurrent action and absorptance spectra were in good agreement, consistent with injection from a single excited state.


[Differentiation of Haemophilus strains isolated from chickens. IV. Studies on the dissociation of Haemophilus paragallinarum].
Bacteria of 2 phenotypic forms of one strain of Haemophilus paragallinarum were morphologically, culturally, biochemically and serologically investigated. On transparent solid media bacteria of the M variant (mucoid) were capsulated and showed iridescence in oblique transmitted light throughout the first 8-14 hours of incubation. Iridescence disappeared completely after 36 hours incubation. Bacteria of this variant formed stable homogeneous suspensions in 0.15 M NaCl and an homogeneous cloudiness after growth in liquid media. A type specific soluble substance was found in fluid culture filtrates and in bacterial washings using the indirect haemagglutination test. Bacteria of the R variant (rough) derived by dissociation of iridescent colonies were not capsulated and showed no iridescence throughout 8-14 hoursPosted by: americanbutterfly on 10 June 2016

Song Two By Two from Sofia the First

James and Amber’s birthday twin song https://www.youtube.com/watch?v=kgKbhd8VtuA

people (including myself) have said how much this songs fits Mabel and Dipper, but I think it fits the Stan twins equally as much if not more.

espeally the lyrics “What if I never find you?

What if I’m a twin no more?

I’d give all the kingdom’s treasures

If you came walking through that door”

which I left out I just wanted to keep the basic of the song

those following along it’s suppose to be Ford’s point of view


internet as we know it.

Much of the attention of European lawmakers has focused on tackling the so-called ‘value gap’ between broadcasters and the online world whereby online platforms have been seen as free riders that benefit from the work of others to drive traffic across their own platforms but fail to provide adequate remuneration in return.

The ‘value gap’ solution has been criticised on the grounds that it will require platforms to scan every piece of content that is uploaded to their sites, while the technology companies themselves have been concerned that they will become liable for any copyrighted material found on their sites.

For others, however, only these types of rules will ensure that rightsholders are properly recompensed for their efforts. The perception that YouTube is a free riderto the United States.
• In the avant-gardes developing in the US there
were many European refugees.

3.
Abstract expressionism
• Artists combined emotional intensity with the
individualism of expressionists and created an
art full of anti-figurative images.
• They can be divided into two groups:
– Action Painting and
– Colour Field and Hard-Edge.
• These movements found parallelism with other
European movements.

4.
Abstract expressionism
• Action Painting term was used for the first
time to refer to Jackson Pollock’s work.
• This artist, the same as Franz Kline or
Willem de Kooning, used his psyke as the
dynamic energy of his works.
• The canvas was considered as a field and
painting was something irrational,
instinctive, impulsive.

6.
Jackson Pollock
• He made works of
great format using the
“dripping” technique.
• In doing that kind of
works, he was
influenced by the
surrealists.

7.
Jackson Pollock
• He used to put the
canvas on the floor and
with a brush


their work we can find glued things and
photos combined with painting.

22.
Pop Art
• The language is that of publicity: easy to be
understood.
• The most representative artist is Warhol and
in addition to him the following artists:
– Rosenquists, with elements of daily life;
– Tom Wesselman, he incorporates other elements,
creating installations;
– Roy Lichtenstein, he represents the world as a
comic;
– Claes Oldenburg, huge sculptures of daily objects;
– Christo, he wraps up buildings and natural
elements.

24.
Andy Warhol
• He made of art a
product of social
mass consumption
• He is not famous just
because he portrayed
myths but because
his work became a
myth for people.

25.
Andy Warhol
• He used techniques of
industrial production.
• He created “The Factory”
in which actions, films
and other ways of
expression were
organised.
• Consumption things
became the target of his
work.

26.
Andy Warhol
• He understood people
from the stardom at
the same level as
objects.
• He created serieslittle bit to be playing not with the freedom he did in France at the moment.

Arsene Wenger has discussed Nicolas Pepe

Nicolas Pepe had an impressive game against Bournemouth

"I see some characteristics of his game, especially off the ball, that don't happen at the moment. “On the other hand, I must say we have good young players who can play on the flanks, [and] that he will have a fight to keep his position.” Pepe had an impressive game against Bournemouth on Sunday, as he provided the assist for David Luiz’s header - the only goal of the game. On one occasion, he proved how confident he is with the ball at his feet by taking on three Cherries defenders.

Trending

Arsenal winger Nicolas Pepe has had a rough start to


found to be acceptable solutions. Of course, for the soliton to be a physically meaningful entity, total nonlinear coupling strength should exceed a critical value. On the basis of the result, a plausible modification in the mechanism for biological energy transport involving conformational change in alpha-helix is proposed. Future directions of the work are also mentioned.PBXTargetDependency */,
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			name =Q:

p:SelectBooleanCheckbox : How to derive the boolean value when its state depends on the state of two entitys?

What I have: A datatable which contains properties of entities in direction x (e.g.: big, small...) and the entities itself in y direction. When the entities are created the user determines the properties and when I take a look at the datatable a booleanCheckbox should represent whether the entities contain the property or not. However I want to be able to change the properties in this datatable.
Edit: The entities (products) may have many categories and categories may have many products.
Problem:
<p:selectBooleanCheckbox value="#{product.hasCategory(cat)}">
    <p:ajax event="change" listener="# {productController.remove(product, cat)}" update="propTabView:propForm:propTable"/>
</p:selectBooleanCheckbox>

This does not work because the check-box expects a boolean only like
value="#{product.hasProperty}
The result is a javax.el.PropertyNotWritableException: Illegal Syntax for Set Operation
What


      </p:selectBooleanCheckbox>
    </p:columns>
</p:dataTable>

Controller:
@PostConstruct
public void init() {
    map = new HashMap<>();

    categories = categoryService.getCategories()
            .stream()
            .filter(c -> c.isForAll())
            .sorted((c1, c2) -> c1.getName().compareToIgnoreCase(c2.getName()))
            .collect(Collectors.toList());

    List<Product> products = productService.getProducts();

    categories.stream().forEach(c ->
        {
            Map<Product, Boolean> valueMap = new HashMap<>();
          Attorney General Eric H. Holder Jr. said in a speech Saturday night at the Human Rights Campaign’s Greater New York Gala at the Waldorf Astoria in New York, where he announced the new policy.

“This landmark announcement will change the lives of countless committed gay and lesbian couples for the better,” Human Rights Campaign President Chad Griffin said in a statement. “While the immediate effect of these policy decisions is that all married gay couples will be treated equally under the law, the long-term effects are more profound. Today, our nation moves closer toward its ideals of equality and fairness for all.”

The Justice Department’s new policy comes three years after it said it would not defend cases in court involving the Defense of Marriage Act anymore. Last year, the


an ambulance to attain victory.

Key Game Features

New Gameplay Controls - Streamlined controls take advantage of the DS and DSi directional pad, eliminating use of the the stylus. In addition, a brand new reversal system is now handled through simple button commands.

Collectable Card System - Earn a variety of collectable cards through winning matches and completing objectives in both play and story mode. These cards, which card be traded wirelessly with other players, provide in-game powerups, arenas, Superstar profiles and more.

Story Mode - Take created superstars on a journey through all three brands, earning new moves and customization parts along the way. Experience story-driven action, training mini-games, cut scenes and extensive interaction with Superstars and Divas.

Backstage Brawls - Take the action outside the ring in 14 unique areas, includingthe noise is known as a victim net, while the neighboring nets that affect it are known as aggressor nets. Noise faults may manifest themselves as functional noise faults, or glitches, in which victim nets take incorrect values. They may also manifest themselves as delay noise faults in which correct transitions on victim nets are delayed or sped up. FIG. 1A is a diagram illustrating one example of a circuit where functional noise, or a glitch 4, is induced on the victim net 12 due to a rising transition 6 on the aggressor net 10. The glitch 4 causes a fault 2 at the output of the victim net 12. FIG. 1B is a diagram depicting an example of delay noise 16 induced on the victim net. In


conservative and inaccurate to be successfully used for modern design constraints.
Another approach is based on computation of a noisy transition—transition in the presence of switching aggressors, and using it for determining new slews and delays. In several studies the linear superposition principle was applied to the nominal transition with a noisy waveform on the victim net computed separately. See, F. Dartu, et al., supra.; R. Arunachalam, et al. supra; and P. D. Gross, R. Arunachalam, K. Rajagopal, and L. Pileggi, “Determination of worst-case aggressor alignment for delay calculation”, Proceedings of the ICCAD, pages 212-219, November 1998. The nominal transition is computed using a linear Thevenin model for the victim driver with all aggressors kept quiet. The alignment between nominal transition on the victim and transitions on the aggressorsD. F. Wong, “Blade and Razor: Cell and Interconnect Delay Analysis Using Current-Based Models”, In Proceedings of the Design Automation Conference, 386-391, June 2003; and V. Zolotov, D. Blaauw, S. Sirichotiyakul, M. Becer, C. Oh, R. Panda, A. Grinshpon and R. Levy, “Noise propagation and failure criterion for VLSI designs” Proceedings of the ICCAD, pages 587-594, November 2002. However, there is no teaching of how such current model is to be integrated in a flow of crosstalk delay change analysis.
FIGS. 3A and 3B illustrate one aspect of a conventional methodology for measurement of aggressor-induced crosstalk delay. FIG. 3A is an illustrative drawing of a set of curves that represent victim signal transitions from VDD to ground. Each curve represents a different alignment of a victim signal transition with


(i) crosstalk glitch (functional noise) analysis, and (ii) noise-on-delay analysis. Both forms of signal integrity analysis can be computationally costly, and often affect the time-to-market characteristics of design methodology. The most expensive parts of a signal integrity analysis tend to be (i) RC reduction and (ii) solving the reduced network. The run time of the mentioned process grows super-linearly as the number of aggressor nets increases. There is a need, therefore, for an efficient and relatively accurate method of handling a larger number of small aggressors.
Modeling of small aggressors accurately and efficiently is an important factor in quality of noise and noise-on-delay analysis. A popular approach to modeling the high number of small aggressors is based on Virtual Aggressor (VA). The VA modeling consists of two major aspects:Modification of coupled RC network, where small aggressors are “lumped” into a single node representing a virtual aggressor, and construction of a driver model for the virtual aggressor, which is required for calculation of a response on the victim and contribution of virtual aggressor into noise.
Lumping multiple aggressors into a single virtual aggressor is schematically depicted in FIG. 2. As shown in this Figure, all the coupling capacitors connecting the small aggressors, a1-an, and the victim net, V, are reconnected to the Virtual Aggressor VA. While one of the capacitors' terminals are “lumped” together, the other terminals are still distributed on the victim net. In addition to reconnecting the capacitors, their value can be reduced by a factor taking into account a low probability that all the small


Joel C. Rosenberg, Chairman and Founder of The Joshua Fund invites you to join him and The Joshua Fund team for our next “Prayer and Vision Tour” of Israel July 3-15, 2018. This Tour will also include a very special Epicenter Prayer Summit focused on praying for the people of Israel.

Join Joel C. Rosenberg, Chairman and Founder of The Joshua Fund as he invites pastors and ministry leaders to join him for our next Prayer and Vision Tour of Israel from July 3-15, 2018 and including a very special Epicenter Prayer Summit, the evening of July 11 and all day July 12. You can bring your group on our tour or arrange your own custom-design your own tour with our travel coordinator, Inspiration Tours & Cruises. Please planto model mutualistic and commensalistic interactions where species interactions are added on neutral models and can modify birth-death rates; and (ii) understand the role of mutualistic/commensalistic interactions in determining species coexistence and how they impact on patterns such as species abundance distribution [@fort2013statistical; @azaele2016statistical]. In particular, we propose how to incorporate mutualistic interactions induced by cross feeding [@goldford2017emergent; @morris2013microbial; @pacheco2018costless] in order to have effective equations where resources are not explicitly modelled. We will show that these equations are different from the Lotka-Volterra types typically used until now.

In this work we thus present a theoretical framework where, starting from a VM-like microscopic stochastic modeling, we add interactions among species and we properly account the effect of cooperation and exploitation. These interactions affect neutrality and lead, in their mean


real ecosystems [@azaele2016statistical], and weakly depends on the specific distribution of the matrix elements $M_{ij}$ and $L_{ij}$, and it is mainly determined only on its coefficient of variation, $\text{CV} =  \sigma_{M+L} / \mu_{M+L} = (\sqrt{\sigma^2_M+\sigma^2_L}) /(\mu_M+\mu_L)$, i.e. the variability of the interaction strengths relative to the mean of $M+L$ (see Fig. \[FIG1FINAL\]). This allows to constrain the model parameters: in order to parametrize species interactions strengths, that are typically unknown [@allesina2012stability; @suweis2013emergence], we can make use of a random matrix approach, where we fix the mean and the variance according to the desired RSA one needs to fit.

![Cumulative RSA for a network of $9$ species, where matrix elements of both $M_{ij}$ and $L_{ij}$ have been drawn from three different probability distributions ($z_h \sim p_h(z)$, $M_{ij}\sim z_h$, $L_{ij}\simCV. The analytical formula of $\mu_M, \mu_L, \sigma^2_M,\sigma^2_L$, which depend the network size, connectivity and correlations are presented in the Methods section.[]{data-label="FIG1FINAL"}](Figure1FINAL-eps-converted-to){width="0.9\columnwidth"}

We define species abundance fluctuations as $x^i_N(t)=\sqrt{N}\left(\bar\eta^i(t)-m_i\right)$ for $i=1,\ldots,S$. Another relevant quantity characterizing the ecosystem biodiversity is the covariance matrix $V$, $V_{ij} = \langle x^i(t)x^j(t)\rangle - \langle x^i(t)\rangle\langle x^j(t)\rangle$, describing the correlations in the population abundance fluctuations between pairs of species population abundances [@volkov2009inferring]. In our setting we can compute analytically this quantity in the limit of normal fluctuations. The stochastic process $\left(x^1_N(t),\ldots,x^S_N(t)\right)$ converges in distribution to a Gaussian Markov process $X:=\left(X^1(t),\ldots,X^S(t)\right)$, which solves the stochastic differential equation $dX=AX\:dt+\Phi dB_t$, where $B_t$ is a $S$-dimensional Brownian motion, which corresponds to a $S$-dimensional Ornstein-Uhlenbeck process [@ethier2009markov; @gardiner2004handbook]. The analytical expressions for the matrices $A$ and $\Phi$ in terms


populations of the $7$ species as predicted by the mean field dynamics Eq. \[dlmfL\]. (C) Species interaction network where one species is not helped by any species and the iterative pruning process, as described in the text, leads to a cascade of extinctions (D) as the time evolution of the mean field Eq. \[dlmfL\] shows, leading to only one species dominating the community. (E) Nested structure for fruit eating birds community in Mexico [@kantak1979observations]. (F) All species coexist, as predicted by our theoretical framework. In the ordinate axis use the notation $\bar\eta$ and not $\eta$.[]{data-label="FIG2FINAL"}](Figure2FINAL-eps-converted-to){width="0.8\columnwidth"}

More generally, we can study analytically the stability of the equilibria as a function of ecological complexity, by analyzing the eigenvalues of the linearization of Eq. \[dlmfL\], i.e. the Jacobian matrix $A$, around thesection, the dynamics of species sitting on dead leaves of the interaction network is trivial as their relative abundance goes to zero. This is a simple consequence of the fact that a dead leaf has no incoming bond. Thus, when $s$ is a dead leaf, the first term on the right of Eq. \[dlmf\] is zero and simple estimate gives $\mathrm{d}\bar{\eta}^s/\mathrm{d}t = -\epsilon \:\bar\eta^s\sum_{i,j}\bar\eta^{i}M_{i j}\theta(\bar\eta^j) \leq 0$. The previous simple remark leads to the following:\
[**Limiting dynamics of dead leaves:**]{} Start the dynamics from a point with $\bar\eta^i\neq 0$ for all $i=1,\ldots,S$. If $k$ is a dead leaf then $\lim_{t \to \infty} \bar{\eta}^k(t) = 0$.\
Thus the presence of a dead leaf inhibits coexistence equilibria on the whole graph. More precisely, if $i=1,\ldots,\gamma$ are dead leaves (at some step of


the pruning), the stable equilibria must have $\bar{\eta}^1 = \ldots = \bar{\eta}^{\gamma} = 0$.

Mean Field Equations, Birth Rates and Species Coexistence {#mean-field-equations-birth-rates-and-species-coexistence .unnumbered}
---------------------------------------------------------

We have numerically and systematically investigated the number of extinctions in ecological systems with both mutualistic and exploitative species interactions, as a function of different parameters: the average interaction strengths $\mu=\mu_L=\mu_M$, the connectance $C_M$, $C_L$, the network size $S$, etc. In all these cases we found that, as long as the birth rates (given by Eq. 1 in the main text) remain positive during the evolution, extinctions are not observed (see Fig. \[FigRates\] and \[Populations\]).

![Plot of the Min Rate defined as $\min_{j=1,\dots,S, t\geq 0}\omega(j,\eta(t),M,L)$, where the rates $\omega$ are given by Eq. (1) in the main text and $\eta(t)$ is the mean field solution of Eq.the skin and fat off our duck and chicken breasts; and slice the skin into thin strips.

In a large, deep walled sauté pan or skillet (a skillet has curved sides, a sauté pan has straight sides. I prefer a sauté pan for this.) crisp up the bacon and render out the fat; then pull the bacon out and keep it off to the side, covered (to soften them up a bit)

Then, VERY LIGHTLY fry the sausage in the bacon fat, rendering out a little more of that lovely lovely porkfat and blending the sausage and bacon flavors; and reserve the sausage off to the side, covered, to keep them from drying out.

You don't want the sausage fully cooked here, just nicely starting to brown up on the outside;


Tag: How to make a planet

……………..American government’s big-brother NASA, is an impressive agency. Since last Century it has gathered unwavering worldwide attention with its massive program of (supposed) space conquest. Billions of people are impressed with NASA’S huge world-wide operation of videos, CGI and artistry. The (false) impression aura of sight, sound and self-acclaimed (alleged) “scientific” discoveries, simply tricks the public………………..the greatest common divisor of 7 and o.
7
Suppose -37*y + 108 = -28*y. Calculate the highest common divisor of 3 and y.
3
Let y(n) = 4*n. Let f be y(1). Let p be f/(-16) + (-5)/(-4). Calculate the greatest common divisor of p and 1.
1
Suppose 5*x + 38 = 2*p - 64, -x - p - 19 = 0. Let q = x + 28. What is the greatest common divisor of q and 16?
8
Let h(r) be the second derivative of -r**3/6 + 8*r**2 + 3*r. Let s be h(11). What is the greatest common factor of s and 1?
1
Let x be 3 + (0 - -13) + 0. Suppose 2*u = 1 + 1. Suppose 4*f + u - 33 = 0. Calculate the greatest common factor of


fiber. Even clamping of the components does not completely eliminate the small or micro movements of the components.
Real time monitoring and correction of the relative positions during the welding process would be desirable. Such monitoring and correction has been provided in diamond turning to correct geometrical errors, that is, adjust position, and in lithography to provide high resolution positioning by many types of actuators including piezoelectric, dc or stepping motors, linear drives. These actuators provide high resolution positioning in small time intervals. Since weld time intervals are small, fast response time positioners are required. However, use of piezoelectric actuators for relative position control during a joining process has not been extended to optical packages.
The use of piezoelectrics in optical packages is known. See, for example, U.S. Pat. No.Expression of mRNA for the N-methyl-D-aspartate (NMDAR1) receptor and vasoactive intestinal polypeptide (VIP) co-exist in enteric neurons of the rat.
Anatomical, physiological and pharmacological evidence suggests that vasoactive intestinal polypeptide neurons are important mediators of the descending inhibitory component of intestinal peristalsis. Pharmacological data also indicate that glutamate may modulate intestinal motility. Recently, we demonstrated that mRNA coding for the glutamate N-methyl-D-aspartate (NMDA) receptor is expressed by rat enteric neurons. In order to ascertain whether NMDA receptor message is expressed by vasoactive intestinal polypeptide (VIP) neurons, we employed a double in situ hybridization technique. We hybridized tissue sections from the stomach, ileum and descending colon of adult rats with an NMDAR1 oligoprobe and a VIP oligonucleotide. Enteric neurons expressing mRNA for both NMDA and VIP were found in the


1. Field of the Invention
The present invention relates to a method for manufacturing an electronic module.
2. Description of Background Art
In particular, the invention relates to an electronic module, which includes one or more components embedded in an installation base. The electronic module can be a module like a circuit board, which includes several components, which are connected to each other electrically, through conducting structures manufactured in the module. The components can be passive components, microcircuits, semiconductor components, or other similar components. Components that are typically connected to a circuit board form one group of components. Another important group of components are components that are typically packaged for connection to a circuit board. The electronic modules to which the invention relates can, of course, also include other types ofWhat is u(4)?
-2
Let q(t) be the first derivative of -t**4/12 + 7*t**3/6 + 13*t**2/2 - 1. Let y(w) be the second derivative of q(w). Give y(6).
-5
Let a be (-1)/((-1)/5 - 0). Let p be 2*((-3)/(-14) - 2/(-7)). Let r(o) = -o**2 - 1 + 2*o**2 - p - 3*o - 2. Determine r(a).
6
Let k(g) = g**2 - 4*g + 7. Let n be k(3). Suppose -a + n*s = 3*s, 3*s = -4*a. Let w(z) = -2 + 3 + 5*z - 3 + a. Give w(2).
8
Let z be 1/((-2)/(-6 + 2)). Let y(j) = -7*j + j - 3 + j**z + 2*j. Let d be (-168)/(-504)*(-7 + 1). What is y(d)?
9
Let h be 1/(2/6 + 0). Let z(q) = -6 - 3 + 12 - 1


Post-traumatic spinal cord cysts evaluated by magnetic resonance imaging.
In order to determine a more accurate prevalence of post-traumatic spinal cord cysts (PTSCC) in spinal cord injured (SCI) patients, we retrospectively reviewed magnetic resonance scans from symptomatic imaging and asymptomatic SCI patients. We found the incidence of PTSCC to be 51% in our patient population. The only symptom that correlated to the presence of a cyst was spasticity. The cyst develops at the site of injury and appears to be a common sequela of SCI. We believe that conservative treatment is indicated in most patients with a PTSCC.If you want a pet with the beauty of perfection, then for sure the first animal that comes to mind will be cats. In ancient times when there were Pharaohs ruling this earth, then at that times, these cats were

As with all living beings, something is bound to go wrong. It might be a sore tooth or a leaky eye or it could be something much worse. Most pet owners consider their pets to be members of their families.

When you talk to trainers about their racehorses, many of them will tell you that one of the biggest challenges is getting a race horse to eat. This may seem counterintuitive. A race horse is constantly burning energy. So one

One of the core parts of the human experience is grappling


with the question of mortality. For all of that, however, it can sometimes be even more difficult to accept the death of a beloved pet. There’s just something about

Feline health care can be a challenge for some cat owners. While there are times when it’s obvious that your cat needs a vet, cats instinctively hide their injuries and illnesses whenever they can. This means cat owners need to

Veterinarians have some of the most challenging professions of anyone. They not only have to have compassion and a genuine love for animals of all kinds, they have to have the resolve to deal with some rough stuff, like surgeries

Aquariums are beautiful additions to any home or business and whether you are looking for fish to put into your home aquariumof his fights with just one punch. This ends up being the cause of a lot of frustration as he no longer feels the thrill and adrenaline he once felt in battle. After all, what’s so good about having overwhelming power?


than 5%.1
1 F. H. Raah et al., “Power Amplifiers and Transmitters for RF and Microwave,” IEEE Transactions on Microwave Theory and Techniques, vol. 50, pp. 814-826, March 2002.
Methods, such as predistortion,2 feedforward,3 and envelope elimination and restoration (EER),4 are utilized to improve linearity and average efficiency. Dawson5 summarized their advantages and disadvantages. Other methods to improve power amplifier efficiency were also discussed.6 2 Y. Zhou et al., “Performance of predistorted APK Modulation for one- and two-link nonlinear power amplifier Satellite communication channels,” Asia-Pacific Microwave Conference, pp. 1139-1142, December 2000.3 W. J. Kim et al., “Ultra performance of the feedforward linear power amplifier using error feedback technique,” IEEE Transactions on Microwave Theory and Techniques, vol. 50, pp. 814-826, March 2005.4 N. Wang et al., “Linearity of X-band Class-Bpower amplifiers in EER operation,” IEEE Transactions on Microwave Theory and Techniques, vol. 53, pp. 1096-1102, March 2005.5 J. L. Dawson, “Power Amplifier Linearization Techniques: An Overview,” Workshop on RF Circuits for 2.5G and 3G Wireless Systems,” presented at IEEE International Solid-State Circuits Conference, Feb. 4, 2001.6 J. Deng et al., “A high-Efficiency SiGe BICMOS Power Amplifier with Dynamic Current Biasing for Improved Average Efficiency,” Proceedings of the IEEE Radio Frequency Integrated Circuits Symposium, pp. 361-364, 2004; K. Yang et al., “High-Efficiency Class-A Power Amplifier with a Dual-Bias-Control Scheme,” IEEE Transactions on Microwave Theory and Techniques, Vol. 47, No. 8, pp. 1426-1432, August 1999.
The quiescent currents of traditional Class-A power amplifiers are constant, which enables the power amplifiers to have high linearity, but poor efficiency. The power-added efficiency


it can be tied in the front, back, or totally skipped!

]]>http://looklingerlove.com/blog/fashion/gal-meets-glam-at-coral-house-harbour-island/feed/0Etsy Lately: My Favoriteshttp://looklingerlove.com/blog/decor/etsy-lately-my-favorites-9/
http://looklingerlove.com/blog/decor/etsy-lately-my-favorites-9/#respondWed, 20 Feb 2019 10:00:29 +0000http://www.looklingerlove.com/?p=26434Good morning! I’m so excited to share my latest Etsy favorites with you today! This is one of my most favorite round ups yet, I just ordered a couple of those wire headbands!

]]>http://looklingerlove.com/blog/decor/etsy-lately-my-favorites-9/feed/0What I’m Wearing: Ode To Rhode Resorthttp://looklingerlove.com/blog/what-im-wearing/what-im-wearing-ode-to-rhode-resort/
http://looklingerlove.com/blog/what-im-wearing/what-im-wearing-ode-to-rhode-resort/#respondTue, 19 Feb 2019 10:00:45 +0000http://www.looklingerlove.com/?p=26427I’ve written many blog posts devoted to Rhode Resort, but it’s for good reason. They are the queens of resort, vacation friendly dresses. I love all the color they use, and the soft and breezy cotton fabrics. I brought along my new rainbow ella dress to Coral House, Harbour Island last week!

]]>http://looklingerlove.com/blog/what-im-wearing/what-im-wearing-ode-to-rhode-resort/feed/0What I’m Wearing: Fashion Stealshttp://looklingerlove.com/blog/fashion/what-im-wearing-fashion-steals/
http://looklingerlove.com/blog/fashion/what-im-wearing-fashion-steals/#respondMon, 18 Feb 2019 13:07:48 +0000http://www.looklingerlove.com/?p=26419Good Monday morning! I hope you allmurder, though Olsson said more likely, those arrested will be charged with assault and violence against a police officer. The suspects will likely appear in court Sunday night and be released pending trial, according to Olsson.

Demonstrators chose the Kalltorp area of Stockholm for their event because neo-Nazi graffiti recently has blighted buildings there, Olsson said.


quality of the result (finished bag).
Manual baggers are the least expensive to purchase; however they are often associated with recurring costs such as operator salaries and insurance. The quality of the finished product is average to good, but it can be affected by different factors, such as operator exhaustion and lack of time to readjust the fold since the machine keeps running at a fixed pace. Manual baggers are more suitable for production rates around 15 to 20 bags per minute. As for manual baggers safety issues, operators' safety and ergonomics must be taken into account. On the other hand, they use minimal floor space.
Semi-automatic baggers are more expensive to purchase (around 2 to 3 times more expensive than the manual baggers). The bag reshaping quality is averageColombia: Transformed / Architecture = Politics
The curators of the exhibition making its world debut in Chicago this week throw the spotlight on five Colombian architects who leverage brick, concrete, and glass forms to improve the lives of ordinary people.By Vladimir Belogolovsky and Fernando Villa, AIA, LEED APApril 3, 2012

Editor’s
note: The exhibition “Colombia: Transformed/Architecture =
Politics” makes its World debut at the Instituto Cervantes of
Chicago, April 3 - May 27, 2012.

Manifesto

Between
believing and not believing, it is better to believe.

Between
acting and disintegrating, it is better to act.

Le Corbusier

In the midst of the global
financial crisis, while architects in developed countries contemplate the
diminishing role of architectural forms, their counterparts in Latin America,
particularly in Colombia, have succeeded in realizing a number of exciting and
inspiring projects. These initiatives convincingly demonstrate how original
architecture can be employed


in establishing renewed identities and purpose for
local communities. Critics continue to paint gloomy pictures of hard economic
realities, which suggests architects should look for projects in emerging
markets and even migrate there, as many have already. A number of Colombian
architects find their creative use right in their own hometowns. They devote
their efforts to projects in which their innovative thinking is appreciated the
most – in the poorest neighborhoods, which surely can be found in every
architect’s home base.

Ten projects by five
Colombian architects provide much more than just shelter or entertainment, and
constitute a cross section of the nation’s architecture. Most are winners of
architectural competitions, which have become the norm for building public
projects in Colombia. These architects work hand in hand with local politicians
who see their towns as working tools and have faith inand irrelevant to their locales, but Colombian
architecture stands out. It is not pretending to be elsewhere. It is rooted in
its place. Instead of catering toward spectacle craving tourists, it is built
to address the real needs of the locals. The Colombian experience has a clear
message for the international community of architects – we are all needed
right where we live. Architects should stay local, be proactive, and keep
transforming architecture to better serve all of us. Architecture does make a
difference – it is better to believe, it is better to act.

Vladimir
Belogolovsky, Curator

Fernando Villa, AIA,
LEED AP, Co-curator

About the
exhibition:

“Colombia: Transformed/Architecture=Politics” traces 10 recently built
socially-conscious projects by five leading voices in contemporary Colombian
architecture: Daniel Bonilla and Giancarlo Mazzanti from Bogotá, and Felipe
Mesa, Juan Manuel Pelaez, and Felipe Uribe from Medellín. These visionary works
reflect significant


classes, and professions."

20% of all sales will go to Syracuse Behavioral Healthcare.

$10 provides a patient with a self-help book

$25 provides leisure skill development materials

$250 provides a patient with a day of treatment at The Willows Inpatient Rehabilitation Center

$1,000 provides a few days of medically based detox for a patient in need

$5,000 provides a few weeks of rehabilitation for an individual beginning their recovery process

If you would like to contribute and save a life, please click the donate button below. 100% of your donations will be sent to SBH.        return peer.getGraphics();
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        // Fix for 4915454 - override the default implementation to avoid
        // loading SystemFlavorMap and associated classes.
        public void setTransferHandler(TransferHandler newHandler) {
            TransferHandler oldHandler = (TransferHandler)
         with a return to Constitutional principles.

In a past article I noted that Hazel and others were not garnering any support from many of the major lobbying groups. In the latest of their disappointing moves, the National Rifle Association chose to endorse Woodall, telling Hazel they preferred to stick with “the devil we know.” Well, the problem with dealing with a devil is sooner or later he’ll betray you. Woodall had bragged previously that he has the lowest score from the NRA of all Republicans in Georgia, and that he was proud of it.

Always a class act, instead of complaining about the NRA’s rather typical move in endorsing establishment candidates, he told me “I will never vote for any legislation that puts people, especially veterans, on a no-buy list


emitNewReportAfter(CuteReport::ReportInterface*report);
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signals:
    void newReport_before();
    void newReport_after(CuteReport::ReportInterface*);
    void deleteReport_before(CuteReport::ReportInterface*);
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    void newDataset_after(CuteReport::DatasetInterface*);
    voidas many (by appointment, of course) as you could. My plan had always been to start with the top, big-name publishers and work down from there.

One such trip got me through the doors and into the venerable house of Harper & Row. I was contracted to do black and white spot drawings, with a few full-page illustrations, and a color cover for a new series written by Barbara Ware Holmes.

"Can you draw little girls?" I was asked.

"But of course!" I answered.

This was a scary one, though.

John Himmelman's Stories' Stories

Book #3

This is one of the full page illustrations. I liked her face in this one. Mr. Sutphen looks a little like Mr. Hooper from Sesame Street, I think. It was fun filling the old timey drugstore with various


Stimulation of human epidermal differentiation by delta-notch signalling at the boundaries of stem-cell clusters.
Human epidermis is renewed throughout life from stem cells in the basal layer of the epidermis. Signals from the surrounding keratinocytes influence the differentiation of the stem cells, but the nature of the signals is unknown. In many developing tissues, signalling mediated by the transmembrane protein Delta1 and its receptor Notch1 inhibits differentiation. Here, we investigated the role of Delta-Notch signalling in postnatal human epidermis. Notch1 expression was found in all living epidermal layers, but Delta1 expression was confined to the basal layer of the epidermis, with highest expression in those regions where stem cells reside. By overexpressing Delta1 or Delta(T), a truncated form of Delta1, in primary human keratinocytes and reconstituting epidermal sheets containingmoisture at 0--15 cm was monitored regularly in 100% (control) treatment and served as the reference for maintaining three treatments that generated different water deficits (Fig. [1](#Fig1){ref-type="fig"}). Measured soil moisture differed substantially among the four water treatments, though no differences were observed among the three species. The average soil moisture (n = 9) of the three species recorded in 100%, 75%, 50% and 25% water levels were 0.101, 0.078, 0.06 and 0.042 m^3^ m^−3^, respectively. Hereafter, the average amount of soil moisture content recorded in four treatments were used for analysis and interpretation of results.Figure 1Amounts of daily irrigation applied (lines) and average amounts of soil moisture (points) observed in four water treatments during the growing season. Error bars represent standard error of means (n = 9).

Physiological responses {#Sec4}
-----------------------

All three species showed typical increase in


of leaves and stems, and leaf-to-stem ratios. The sum of dry weights of leaves and stems was identified as total aboveground biomass. The rates of mainstem elongation, leaf addition, leaf growth, stem growth, leaf area expansion and biomass accumulation were estimated from length of mainstem, number of leaves, leaf weight, stem weight, leaf area and dry biomass weight, respectively, observed on the three sampling dates.

Physiological measurements {#Sec13}
--------------------------

Parameters for gas exchange and chlorophyll fluorescence were recorded using an LI-6400 photosynthesis system (*LI-COR Inc*., Lincoln, NE) on the third or fourth fully expanded leaves of plants between 11:00 and 13:00 h at 55 DAP. The instrument was set to the photosynthetic photon flux density of 1,200 µmol photon m^−2^ s^−1^, cuvette temperature of 32 °C, relative humidity of 35 ± 5%, and CO~2~ concentration of 400 µmol mol^−1^.Q:

Powershell search path with wildcard-string-wildcard

I am trying to search a log file for updates that were not installed, then using the returned array install the updates. Problem is my files are named:
Windows6.1-KB3102429-v2-x64.msu

My parsed array has a item of KB3102429 how can I use a wild card - call the array item - then another wildcard .msu
my code is listed below:
# Read KBLIST.txt and create array of KB Updates that were not installed
$Failed = Get-Content -Path C:/Updates/KBLIST.txt | Where-Object {$_ -like '*NOT*'}

# create a list of all items in Updates folder
$dir = (Get-Item -Path "C:\Updates" -Verbose).FullName

# Parse the $Failed array down to just the KB#######
for($i = $Failed.GetLowerBound(0); $i -le $Failed.GetUpperBound(0); $i++)
{
    $Failed[$i][1..9] -join ""

    # Search the $dir list for files that


and sorrow 'intermingled'

While Dr Pipher says ageing and happiness have a direct correlation, she doesn't suggest ageing happily is a simple proposition.

"I never argue that any of us can be happy all the time," she says.

"I think happiness and sorrow are as intermingled as sea water and salt water in the sea, and that if we are a full person, feeling the full gamut of our emotions, we don't feel happy all the time.

"Of course we feel sad, we feel pain, we feel anger. And in fact, authenticity and self-acceptance are being able to work skilfully with those emotions."

What's key, she says, is the decision "to look for something to appreciate, to look for beauty".

"We can have that choice walking out of our best friend's funeral. We canmaybe sent to your child healthy entertainment.Note: All videos on YouTube API Rules / nioma compliance has beencollected and videos from YouTube in bachaikare did not block anyads. If you have any objection if the owners still video mailPlease tell us, we will remove your video within 24 hours.Disclaimer:* It is not an official app* To see all the videos in the app will require internetconnection.* We are not blocking owner video ads displaying.* All the streamed YouTube videos are copyrighted to theirpublishers. We just accumulate all Thakurmar Jhuli Cartoon thatyour shonamoni can see videos in a signal application.* This app does not have any affiliation or linkage to ThakurmarJhuli Cartoon.Important Notes:*** The Application dose not downloads YouTube videos and do notsupport background playing. We are respect YouTube


to solve all the problemsofthe short video of the app can change your life.Disclaimer:* It is not an official app.* To see all the videos in the app will requireinternetconnection.* * We are not blocking owner video ads displaying and there isnopermission to download any video.* The content owner is there owner on public YouTube channel.Wejust accumulate all bangla motivational videos that you willlearnLife Changes Motivation & Solution for Life Problems byseeingvideos.Still, if you want your video should not have in thisapplication,please kindly email us to studiommbd@gmail.com, we willremove yourvideo within 24 hours.Thank you

আমরা বাংলার সকল সেরা দেশাত্নবোধক গানের ভিডিওসগ্রহ করে এই অ্যাপটি দেশপ্রেমিকদের জন্য ডেভেলপ করেছি। অ্যাপটিতেদেওয়া ১২৫টি বাছাইকৃত দেশাত্ববোধক গানগুলির প্রত্যেকটি গান অবশ্যইআপনাদের কাছে ভালো লাগবে।অ্যাপটিতে ৫ ষ্টার দিতে ভুলবেন না এবং রিভিউ রেটিং এর মাধ্যমেtransformation can be defined as [@Strominger:it],[@Dine:1992ya][^2] $$\begin{aligned}
 X^I &\longrightarrow& -X^I ~, ~ I=1,..16 \;, \nonumber\\
 X^{i}  &\longrightarrow& ~X^{i} ~,~ ~i=1,5,7,9 \;, \nonumber\\
 X^{i}  &\longrightarrow& - X^{i} ~,~ i=2,3,4,6,8,10  \;.
\label{cp}\end{aligned}$$ This is a combination of the conventional reflection of the three spacial coordinates, a reflection of three of the compactified coordinates, and a reversal of the gauge charges. Although a four dimensional P operation is not a proper Lorentz transformation, it becomes one when supplemented by the reflection of the compactified coordinates. In terms of the complex coordinates of the internal manifold, this amounts to the complex conjugation $Z^i \longrightarrow Z^{i*}$ [@Strominger:it]. The reversal of the gauge charges is an automorphism of the $E_8 \times E_8$ group and therefore is also a symmetry of the system


CP violation arises through $e^{-S_{\rm cl}}$ and the arguments above apply. We note that these couplings are exponentially suppressed by the radii of the compactified dimensions in symmetric orbifolds [@Cvetic:1987qx].

[**3. Moduli dependence of the Yukawa couplings.**]{}

0.5cm

To make our arguments more explicit, here we present the full moduli dependence of the heterotic Yukawa couplings. The Yukawa couplings are calculated via pairing two real coordinates in each plane into a complex one (see [@Burwick:1990tu] and [@erler] for details). The action is then written as $$\begin{aligned}
S_{\rm cl} &=&
{1\over 2\pi} \int d^2 z (\partial Z^i \bar \partial \bar Z^i+
\bar\partial Z^i \partial \bar Z^i )
- {B_{i,i+1} \over 2\pi} \int d^2 z (\partial Z^i \bar \partial \bar Z^i-
\bar\partial Z^i \partial \bar Z^i ) \nonumber\\
&+& {1\over 2\pi }\int d^2z \biggl[
 {\cal A}_{iI} (  \partial Z^i \bar \partial   Z^I     -
\bar\partial Z^i \partial   Z^I) +
{\cal A}_{iI}' (   \partial Z^i \bar \partial   \bar Z^I        -
\bar\partial Z^i \partial   \bar Z^I) - {\rm h.c.}  \biggr]  \;,
\label{formula}\end{aligned}$$ where $z=e^{-2(\tau +i\sigma)}$, $Z^i=X^i+iX^{i+1}$, $i=1,3,5\;$; $Z^I=X^I+iX^{I+1} \;\;, I=1,3,..,15 \;$; and $$\begin{aligned}
&&  {\cal A}_{iI}= {1\over 4}(A_{iI}-A_{i+1,I+1}-iA_{i+1,I}-iA_{i,I+1})
                                \;,\nonumber\\
&&  {\cal A}_{iI}'= {1\over 4}(A_{iI}+A_{i+1,I+1}-iA_{i+1,I}+iA_{i,I+1}) \;.\end{aligned}$$ Here h.c. replaces a quantity with the corresponding barred one and conjugates ${\cal A},{\cal A}'$. We omit the pure gauge


are to be determined by the the following $monodromy$ conditions $$\begin{aligned}
\Delta Z^i= \int_{\cal C} dz ~\partial Z^i + \int_{\cal C} d\bar z ~
\bar \partial Z^i= v^i \;, \nonumber\\
\Delta \bar Z^i= \int_{\cal C} dz ~\partial \bar Z^i + \int_{\cal C} d\bar z ~
\bar \partial \bar Z^i= \bar v^i \;,\end{aligned}$$ with the complex lattice vector $v^i$ defined by $v^i=v^{(i)} +i v^{(i+1)}$ and $\bar v^i=v^{(i)} -i v^{(i+1)}$. Here the contour ${\cal C}$ is chosen such that $Z^i$ gets shifted but not rotated upon going around ${\cal C}$. These equations allow to solve for $c,d$ in terms of the winding vectors $v^i$.

In the case of the standard embedding, $\bar\partial \bar Z^i$ and $\bar\partial\bar Z^I$ have the same structure [@Kobayashi:2003vi]. In particular, they have the same singular behaviour at the twist operator insertionLast week I've received a message from my "Request Tutorial" page about how to share files in Backtrack Linux. I think this guy have the same problem with me(long time ago) when I want to send the malicious file from my Backtrack machine for testing purposes to my Windows victim machine .

Actually there's many ways to doing this, but I only will explain the very…very..absolutely simple method that I've already used and it was nice and I think it was efficient and fast also easy to set up.

So, without waiting, let's start the preparation.

Requirement :

1. Linux O.S (I'm using Backtrack 5 R1)

Step by Step :

1. Open your terminal (CTRL+ALT+T) and then run this command to create a new directory "share".

mkdir /var/www/share

2. Change mode for the share folder into


Q:

Overriding a base virtual property with a derived type is null when passing to JsonResult

I have 2 base classes which 1 for search criteria and other 1 for search results.
I also have 2 derived classes for User object versions of both of those.
When I put a breakpoint in the controller action I can see all properties are populated as I've hardcoded.
When I call this action directly in the browser, each of my derived object properties is null.
I'm guessing the JSON serialization is not able to tell the difference from the base class to the derived one.
Is there a way to solve this?
public class BaseSearchCriteria
{
    public int Page { get; set; }
    public int RecordsPerPage { get; set; }
}

public class BaseSearchResults
{
 (a) 7  (b) -252  (c) 0
c
Which is the nearest to -2?  (a) -6  (b) -12  (c) -3
c
What is the nearest to 2/9 in 4, -2, 1, -5?
1
What is the closest to 1/5 in -6/11, 2/5, 3, 5?
2/5
What is the nearest to 1/12 in -2/7, 2, 59?
-2/7
What is the nearest to 2/3 in 0.047, -2/13, -0.1, 9?
0.047
Which is the nearest to 2/7?  (a) -1  (b) -2/19  (c) 4
b
Which is the nearest to 0.1?  (a) -4  (b) -7  (c) -0.5  (d) 2/11
d
What is the nearest to 0.1 in 2, -47, -2/13?
-2/13
Which is the closest to 0.1?  (a) -0.2  (b) 1  (c) -5  (d) 1/3
d
Which is the closest to -2/7?  (a) -23  (b)


 (a) -1  (b) -2/19  (c) -0.4
b
Which is the nearest to 0?  (a) 35/16  (b) 2  (c) -0.07
c
What is the closest to -0.88 in 6, 2, -9?
2
What is the nearest to 0.1 in -3/548, -1/5, 0, 3?
0
Which is the closest to 1?  (a) -2.3  (b) 1.3  (c) -4/3  (d) -5/6
b
What is the closest to 0.84 in 0.4, -1, -0.5?
0.4
Which is the nearest to -8/13?  (a) -5/4  (b) -2  (c) -4
a
What is the closest to -3/5 in 0, -6, -0.01?
-0.01
What is the closest to -8 in -1, 3/7, -0.3?
-1
Which is the closest to 6?  (a) 1/3  (b) -0.5  (c) -34
a
What is the closest to 0.1 in 0.5, -3/287, 2?
-3/287
Which is the closest to -1?to come across one of those passages again, you notice.
Another way to look at it: There are lots of new things you come across over time, and once in a while, statistically, there will be a coincidence where you see the same thing twice. This happens by itself. It happens in statistical simulations. It happens to people of all religions. And it doesn't necessarily need any supernatural message behind it. If it never ever happened, that would actually be weird.
Our brains are not well suited for intuiting these kinds of statistical events, whereas they are basically pattern-seeking machines. Sometimes we can notice a pattern that isn't even there. That's what happens here. Since the statistics are normal but we notice as being uncanny, that's why it's a psychological


Q:

Should I choose x86_64 for testing rather than the "recommended" x86 for virtual device system image?

I'm totally new to Android programming. I have Android Studio 3.0.1 running on Kubuntu Xenial 64-bit on a desktop with a Haswell processor.
I am configuring virtual devices. I am thinking of doing that corresponding to the physical Android devices I own. However, I notice that x86 images are placed in the "Recommended" pane:

compared to the x86_64 images of identical API version and target:

#4 of https://developer.android.com/studio/run/managing-avds.html#createavd seems to indicate that x86 images are recommended because they "run the fastest in the emulator."
A few of my old devices are x86 but the newer ones are x86_64. Should I choose x86_64 accordingly though it is not in the "Recommended" pane?
Does this make a difference when I}n\in {{\mathbb N}}.$$ In view of the conjectured finiteness of $\Sha(A/k)$ which is known for elliptic curves over ${{\mathbb Q}}$ of analytic rank $\leq 1$, the $p$-divisibility should be guaranteed for large $p$ depending on $A/k$. Our aim therefore is to identify conditions that a prime number $p$ must satisfy for the $p$-divisibility conclusion to hold, which are sufficient and as close as possible to being necessary.

For elliptic curves over ${{\mathbb Q}}$, Theorem \[thm:rationalEll\] and Corollary \[cor:quadratictwistoverQ\] yield the following.

Let $E/{{\mathbb Q}}$ be an elliptic curve defined over the rationals. Then the following holds.

1.  $\Sha(E/{{\mathbb Q}})$ is $p$-divisible in $\operatorname{H}^1({{\mathbb Q}},E)$ for all primes $p>7$.

2.  There is at most one odd prime number $p = 3,5$ or $7$, and then at most two quadratic twists $E^\tau/{{\mathbb Q}}$ of


Z}}/{{\mathbb Z}}$ and $\operatorname{Div}(M)=0$.

###  {#sec:piofd}

For every positive $d \in {{\mathbb N}}$, we define $\pi(d)$ to be the maximal prime number $p$ such that there exists an elliptic curve $E$ defined over a number field $k$ of degree $d=[k:{{\mathbb Q}}]$, which admits a non-trivial $k$-rational $p$-torsion point.

Merel [@merel:torsion] showed that $\pi(d)$ is finite and gave the upper bound ($d>1$) $$\label{eq:merelbound}
\pi(d) < d^{3d^2}.$$ The best result in the literature to our knowledge is the bound by Parent [@parent:bound] $$\label{eq:parentbound}
\pi(d) < 65\cdot (3^d-1)\cdot (2d)^6,$$ while an unpublished result of Oesterlé[^2] yields the estimate $$\label{eq:oesterlebound}
\pi(d) < (1+3^{d/2})^2.$$ For small values of $d$ the following values of $\pi(d)$ are known precisely: Mazur in [@mazur:ratisog] Theorem 2 shows $\pi(1) = 7$, Kamienny [@kamienny:quadratic2] building on work of Kenku and Momose proves $\pi(2) = 13$,is known that $ \operatorname{H}^1_{{\rm Sel}}(k,A_{p^n})$ is a finite group.

The Selmer group $\operatorname{H}^1_{{\rm Sel}}(k,A_{p^n})$ is a global $\operatorname{H}^1$ with local Selmer-conditions determined by the image of the boundary map $\delta_{{{\rm kum}}}$ of the Kummer sequence $${{\rm Sel}}_v = \delta_{{\rm kum}}\big(A(k_v)/p^nA(k_v)\big) \subset \operatorname{H}^1(k_v,A_{p^n})$$ at every place. We shall be working with the following generalized Selmer groups. Let $Q$ be a finite set of finite places. The **Selmer group free at $Q$** is defined as $$\operatorname{H}^1_{{{\rm Sel}}_Q}(k,A_{p^n}) = \ker\Big(\operatorname{H}^1(k,A_{p^n}) \to \prod_{v \not\in Q} \operatorname{H}^1(k_v,A_{p^n})/{{\rm Sel}}_v\Big)$$ and the **Selmer group trivial at $Q$** is defined as $$\operatorname{H}^1_{{{\rm Sel}}^Q}(k,A_{p^n}) = \ker\Big(\operatorname{H}^1(k,A_{p^n}) \to \prod_{v \not\in Q} \operatorname{H}^1(k_v,A_{p^n})/{{\rm Sel}}_v \times \prod_{v \in Q} \operatorname{H}^1(k_v,A_{p^n}) \Big).$$ Consequently, we have the following inclusions $$\operatorname{H}^1_{{{\rm Sel}}^Q}(k,A_{p^n}) \subseteq \operatorname{H}^1_{{{\rm Sel}}}(k,A_{p^n}) \subseteq \operatorname{H}^1_{{{\rm Sel}}_Q}(k,A_{p^n}).$$ In the case when $Q$


the $3$-cycle and $G=S_3$ would be commutative, a contradiction. The uniqueness of a faithful $2$-dimensional representation for $S_3$ thus shows that $V \cong A_1 \subset \operatorname{End}(V)$ as $G$-representations.

\[cor:detS3\] The determinant of the unique faithful $2$-dimensional $S_3$ representation $V$ over ${{\mathbb F}}_p$ is the mod $p$ sign character ${\rm sign} : S_3 \to \{\pm 1\} \subseteq {{\mathbb F}}_p^\ast$.

This follows from the discussion of this representation in the proof or Lemma \[lem:S3\]. Alternatively, we can remark that the representation V is already defined over ${{\mathbb Z}}$ as the kernel $V_{{{\mathbb Z}}}$ of the natural map $${\rm sum} \ : \ \operatorname{ind}_{(2,3)}^{S_3} ({\mathbf{1}}) \to {\mathbf{1}}$$ which sums up the components in the natural basis of the tautological permutation representation. Then $$\det(V_{{{\mathbb Z}}}) = \det(\operatorname{ind}_{(2,3)}^{S_3} ({\mathbf{1}})) = {\rm sign},$$ according to one ofCassels’ question has a negative answer for $A^t/k$.

\(3) Brendan Creutz in [@Creutz] also proves Proposition \[prop:casselsiff\] and uses it to show that for every prime $p$ there exists an abelian variety $A/{{\mathbb Q}}$ such that $\Sha(A/{{\mathbb Q}})$ is not divisible by $p$ in $ \operatorname{H}^1({{\mathbb Q}},A)$. Furthermore, he also finds an elliptic curve $E/{{\mathbb Q}}$ such that $\Sha(E/{{\mathbb Q}})_2$ is not divisible by $4$ in $\operatorname{H}^1({{\mathbb Q}},E)$.

The Selmer splitting field {#sec:Selmersplitting}
--------------------------

Let $A/k$ be an abelian variety. We denote by $$\operatorname{H}^1_{{{\rm Sel}}}(k(A_p)/k,A_p)$$ the intersection of $\operatorname{H}^1_{{{\rm Sel}}}(k, A_p)$ with the image under inflation of $\operatorname{H}^1(k(A_p)/k,A_p)$ in $\operatorname{H}^1(k,A_p)$. Then we have the following commutative diagram with exact rows $$\xymatrix@M+1ex@R-2ex{
0 \ar[r] &  \operatorname{H}^1_{{{\rm Sel}}}(k(A_p)/k,A_p) \ar@{}[d]|{{\rotatebox{-90}{$\subseteq$}}} \ar[r]^(0.55){\operatorname{inf}} & \operatorname{H}^1_{{{\rm Sel}}}(k, A_p) \ar[r]^(0.3){\operatorname{res}}  \ar@{}[d]|{{\rotatebox{-90}{$\subseteq$}}} & \operatorname{Hom}_{\operatorname{Gal}(k(A_p)/k)}(\operatorname{Gal}_{k(A_p)}^{{\rm ab}}\otimes {{\mathbb F}}_p,A_p)  \ar@{=}[d] \\
0


completion of $k(A_p)$ in $w$. Localization at $v$ yields a commutative diagram $$\xymatrix@M+1ex@R-1ex@C+2ex{ \operatorname{H}^1_{{{\rm Sel}}}(k, A_p) \ar[r]^(0.35){\operatorname{res}_{k_1/k}} \ar[d] & \operatorname{Hom}_{\operatorname{Gal}(k_1/k)}(\operatorname{Gal}(L/k_1),A_p) \ar[d]^{{{\rm ev}}_w} \\
\operatorname{H}^1_{{{\rm nr}}}(k_v,A_p) \ar[r]^(0.45){\operatorname{res}_{k_{1,w}/k_v}} & \operatorname{H}^1_{{{\rm nr}}}(k_{1,w},A_p) = A_p}$$ with the evaluation map ${{\rm ev}}_w$ mapping a morphism ${\varphi}: \operatorname{Gal}(L/k_1)  \to A_p$ to its value ${\varphi}(\operatorname{Frob}_{w})$ at the Frobenius element of $w$. Assumption (iii), the sequence , and assumption (i) imply $$\operatorname{H}^1_{{{\rm Sel}}^Q}(k,A_p) \subseteq \operatorname{H}^1_{{{\rm Sel}}}(k(A_p)/k,A_p) \subseteq \operatorname{H}^1(k(A_p)/k,A_p) = 0.$$

*Step 2:* We now show the general case by induction on $m$ terminating in $n$. As an abbreviation we set $${{\mathbb L}}_{m,v} = {{\rm Sel}}^Q_v \subseteq \operatorname{H}^1(k_v,A_{p^m})$$ for the Selmer condition trivial at $Q$ for $A_{p^m}$-coefficients. Then the following diagram is commutative and the rows are exact $$\label{eq:compatiblelocalconditions}
\xymatrix@M+1ex@R-2ex{
 & {{{\mathbb L}}_{m-1,v}} \ar[r] \ar[d] &vanishing criterion of Theorem \[thm:proofofthmD\] above together with the exact sequence gives a criterion for the equality $$\label{eq:locdivpoints}
\{a \in A(k) ; \ a \in p^n \cdot A(k_v) \text{ for all $v$ }\} = p^n \cdot A(k)$$ to hold for a prime number $p$ and all $n \geq 1$. Below in Section §\[sec:caseofellipticcurves\] we will verify this criterion in various cases for elliptic curves and thus reprove results obtained on cases where holds, namely [@paladinoranieriviada] Corollary 2.

The criterion in the case of elliptic curves
--------------------------------------------

Based on the group theory of $\operatorname{GL}_2$ in Section §\[sec:group\] we can show the following criterion for a $p$-primary local–to–global principle for divisibility in the special case of elliptic curves.

\[thm:localglobaldivforellipticcurves\] Let $E/k$ be an elliptic curve and let $p$ be a prime number. We assume that the following


depends only on $k$ and maybe $\dim(A)$ but not on the particular abelian variety $A/k$. Theorem \[thm:numberfieldEll\] (2) provides such a uniform bound on $p$ in terms of only the degree of $k/{{\mathbb Q}}$ in the case of elliptic curves.

The case of elliptic curves {#sec:caseofellipticcurves}
===========================

Applications to elliptic curves over number fields
--------------------------------------------------

We first analyze the conditions asked by Theorem \[thm:localglobaldivforellipticcurves\] in the case of elliptic curves over arbitrary number fields.

\[cor:ell\] Let $k$ be a number field. Then for ’most’ elliptic curves $E/k$, in particular for infinitely many of them, the group $\operatorname{H}^1_{\operatorname{div}}(k,E)$ and in particular $\Sha(E/k)$ is $p$-divisible in $\operatorname{H}^1(k,E)$ for all odd primes $p$.

Jones [@Jo10] (for $k={{\mathbb Q}}$) and Zywina [@Zy10] consider the set of elliptic curves $$Y^2=X^3+aX+b$$ such that $a$ and $b$ are integers of $k$ and $h(a,b)< x$(where $h$ denotes a height on such pairs). They show ([@Zy10] Theorem 1.3 and Theorem 1.6) that the ratio of the cardinality of the subset of elliptic curves such that $$\label{eq:bigG1E}
\frac{|\operatorname{SL}_2({{\mathbb F}}_p)|}{|\operatorname{Gal}(k(E_p)/k) \cap \operatorname{SL}_2({{\mathbb F}}_p)|} \leq 2$$ for every prime $p$ by the total number of curves in the box $h(a,b)< x$ approaches $1$ as $x$ goes to infinity. When holds and $p > 2$, then $\operatorname{Gal}(k(E_p)/k)$ can neither be contained in an $S_3$ nor in a Borel subgroup of $\operatorname{GL}(E_p)$. Hence in this sense for ’most’ elliptic curves $E/k$ the conditions of Theorem \[thm:localglobaldivforellipticcurves\] hold for every prime $p>2$.

Recall from Section §\[sec:piofd\] that $\pi(d)$ is the maximal prime number such that an elliptic curve $E$ over a number field $k/{{\mathbb Q}}$ of degree $d$ admits a non-trivial $k$-rational $p$-torsion


there is an unramified quadratic character $\delta : \operatorname{Gal}_{k'_w} \to \{\pm 1\}$ such that as a $\operatorname{Gal}_{k'_w}$-representation $$E_p^{\rm ss}|_{\operatorname{Gal}_{k'_w}} \cong \delta \oplus \delta \epsilon_p \cong  \chi \oplus \chi^2.$$ If $\delta = \chi$ and $\delta \epsilon_p = \chi^2$, then $\delta = \chi = \epsilon_p$ and thus $\epsilon_p(\operatorname{Frob}_w) = \pm 1 \in {{\mathbb F}}_p^\ast$, which means $$p \mid Nw \pm 1 = Nv \pm 1.$$ If on the other hand $\delta = \chi^2$ and $\delta \epsilon_p = \chi$, then $\delta = \chi^2 = \epsilon_p^2$ and thus $\epsilon_p(\operatorname{Frob}_w^2) = \pm 1 \in {{\mathbb F}}_p^\ast$, which means $$p \mid (Nw)^2 \pm 1 = (Nv)^2 \pm 1.$$

Finally, if $E/k$ has good reduction in $w$, then $E_p$ is an unramified $\operatorname{Gal}_{k'_w}$-module and $$a = a_w = 1 + Nw - |{\mbox{${\overline{E}}$}}({{\mathbb F}}_w)| \equiv{{\rm tr}}(\operatorname{Frob}_w| E_p^{\rm ss}) \mod p$$ Since $E_p^{\rm ss}|_{\operatorname{Gal}_{k'_w}}  \cong  \chi \oplus \chi^2$ where $\chi^3 = \epsilon_p$ (as in Mazur’s argument presented in [@serre:pointsrationnels]) we deduce that $$p \mid \big(\chi(\operatorname{Frob}_w)^2 + \chi(\operatorname{Frob}_w)\big)^3 - a^3 \equiv Nv + (Nv)^2 + 3Nv \cdot a - a^3 \mod p$$ with $a \in {{\mathbb Z}}$ and $|a| \leq 2\sqrt{Nv}$ due to the Hasse–Weil bound. An analysis of the function $f(x) = 3Nx-x^3$ on the interval $-2\sqrt{N} \leq x \leq 2 \sqrt{N}$ shows that $$|3Nv \cdot a  - a^3| \leq 2 \sqrt{(Nv)^3}.$$ Consequently, we find $$0 < (Nv -\sqrt{Nv})^2 \leq Nv + (Nv)^2 + 3Nv \cdot a - a^3 \leq (Nv + \sqrt{Nv})^2$$ which leads in the case of good reduction at $w$ to $$p \leq  (Nv + \sqrt{Nv})^2.$$