said it paid five million dollars in fees to companies linked to Kuczynski when he was Peru's economy minister, under Toledo.

He was accused of lying about his ties to Odebrecht, but later admitted he had taken the money for what he and the company insist were legitimate consulting fees.

The scandal, which has dogged the president over the past six months, finally became to much for the elderly politician when it became increasingly clear he could not survive the impeachment vote.

"This political confrontation has created a climate of ungovernability which has done huge damage to the country and does not allow us to make progress," he said with regret in his voice during his address.

He leaves behind an economy that has performed well below expectations.

"We are seeing a complicated+ p*y = 1 for y.
1
Suppose -8*z + 546 = 538. Solve 18*i - 35 - z = 0 for i.
2
Let u be 5 + 4 + 0/4. Suppose 3*h = t + u, -h + 2*h + 4*t = 16. Solve 3 - 11 = h*j for j.
-2
Let r(m) = m**2 - 7*m - 15. Let l be r(9). Solve -7*b - 18 = l for b.
-3
Let n(i) be the first derivative of -i**4/4 - 11*i**3/3 + 11*i**2/2 - 12*i - 2. Let p be n(-12). Solve p = -o - o for o.
0
Let m = -10 - -12. Suppose 0 = m*g - 7*g + 80. Suppose s - 8 = 2*k, 4*k + g = -2*s - s. Solve -x - 2 = -s*x for


Holder: Only ‘extraordinary circumstance’ would allow US drone strikes

Attorney General Eric Holder speaks about strategy to mitigate the theft of U.S. trade secrets, Wednesday, Feb. 20, 2013, in the Eisenhower Executive Office Building on the White House complex in Washington. (AP Photo/Jacquelyn Martin)

3617327

In response to an inquiry from Kentucky Republican Sen. Rand Paul, Attorney General Eric Holder said Tuesday that the federal government has “no intention” of launching drone strikes in the United States but conceded an “extraordinary circumstance” could make it permissible.

Holder emphasized that he was talking about an unlikely theoretical event, but Paul was dissatisfied with his answer.

“The U.S. Attorney General’s refusal to rule out the possibility of drone strikes on American citizens and on American soil is more than frightening — it is an affront [*Built within a parallel adaptive mesh refinement (AMR) framework*]{}: The code utilizes a new set of parallel AMR libraries which we will describe elsewhere, though the Berger and Oliger style AMR algorithm used is very similar to the one presented in [@fp_mgamr; @fp_thesis].

-   [*Efficient simulation of axisymmetric spacetimes using a variant of the Cartoon method [@cartoon]*]{}: The algorithm presented here does not require interpolation, and only utilizes a single 2-dimensional slice of the Cartesian grid, simplifying incorporation into existing AMR packages.

In the remainder of this section we will describe certain aspects of the code in more detail.

Discretization Scheme {#sec_disc}
---------------------

From here onward we will use the coordinate names $t\equiv x^0$ and $(x,y,z)\equiv(x^1,x^2,x^3)$. Also, as discussed in the next section, we use a compactified coordinate system in


values inside the excised region. See Table \[ex\_ops\] for samples of the particular stencils we use. Note that we define the excision surface to be constant in time, and hence only spatial difference stencils need to be modified. During evolution, if the excision surface moves such that previously excised points (interior points) become “unexcised”, we initialize them via fourth order extrapolation from adjacent exterior points at [*all*]{} time levels in the grid hierarchy. We cannot [*a-priori*]{} prove that this excision method is stable, rather, as discussed in Sec. \[sec\_formalism\], we will require convergence to a self-consistent solution of the field equations as a proof-by-example that the code is stable and correct.

  ----------- ------------------------------------------------------------------
   $f_{,x}$           $(-3(with appropriate spatial compactification) gives initial data for the metric at $t=0$; and is also used to evaluate (\[hdef\]) for the initial values of the source functions.

Efficient Simulation of Axisymmetric Spacetimes {#sec_axisym}
-----------------------------------------------

In this section a variant of the “symmetry without symmetry”, or [*Cartoon*]{} method [@cartoon] for efficient evolution of an axisymmetric spacetime with a Cartesian-based 3-dimensional code is described. The advantages to the approach presented here are that [*no*]{} interpolation is ever performed, the axisymmetric grid structure is a two dimensional slice of the Cartesian grid, rather than a thin three dimensional slab, and the method is not specific to finite difference based codes, so can readily be applied to a spectral code, for instance. Having the grid structure be two dimensional is helpful in that it allows


in axisymmetry. To compare with the vacuum black hole simulation of the previous section, we used an identical grid structure, and chose initial data so that a black hole of roughly the same mass ($0.05$) forms. Specifically, we used a spherically symmetric Gaussian pulse (\[phi\_ic1\]) with A\^1 = 0.35,    \^1 = 0.055, with the rest of the initial data parameters for $\Phi$ set to zero. We used the same gauge conditions for $H_\mu$ as described in Sec. \[sec\_cvf\] for the convergence test, except here the corresponding parameters were $\kappa_0=40$, $\xi_0=30$, $n=5$, $t_1=1/80$ and $\alpha_0=1$. Note that the results are not very sensitive to this particular choice of gauge parameters; the rule of thumb is that $\kappa_0$ and $\xi_0$ of order $1/\Delta^1$, $t_1$ of order $\Delta^1$ and $n$ ofScheel, L. E. Kidder, H. P. Pfeiffer, D. Shoemaker and S. A. Teukolsky, “Controlling the Growth of Constraints in Hyperbolic Evolution Systems”, [*Phys.Rev.*]{} [**D69**]{}, 124025 (2004) D.L. Meier, “Constrained Transport Algorithms for Numerical Relativity. I. Development of a Finite Difference Scheme”, [*Astrophys.J.*]{} [**595**]{}, 980 (2003) C. Di Bartolo, R. Gambini and Jorge Pullin, “Consistent and mimetic discretizations in general relativity”, gr-qc/0404052 M. Alcubierre, S. Brandt, B. Bruegmann, D. Holz, E. Seidel, R. Takahashi and J. Thornburg, “Symmetry without Symmetry: Numerical Simulation of Axisymmetric Systems using Cartesian Grids”, [*Int.J.Mod.Phys.*]{} [**D10**]{}, 273 (2001) H. Friedrich, “On the Hyperbolicity of Einstein’s and Other Gauge Field Equations”, [*Commun. Math. Phys*]{} [**100**]{}, 525 (1985) J. Frauendiener, “On discretizations of axisymmetric systems”, [*Phys.Rev.*]{} [**D66**]{}, 104027 (2002) D. Garfinkle and G. C. Duncan, “Numerical evolution


   individual: {
          first_name: 'Joe'
        }
      }, function (err, response) {
        assert.isTrue(response.success);

        done();
      })
    );

    it('handles validation errors for blank fields', function (done) {
      let params = {
        individual: {
          firstName: '',
          lastName: '',
          email: '',
            specHelper.createToken(gateway, {merchantPublicId: 'integration_merchant_id', scope: 'read_write'}, function (err, response) {
          gateway = new braintree.BraintreeGateway({
            accessToken: response.credentials.accessToken
          });

          return gateway.merchantAccount.all(function (err, merchantAccounts) {
            assert.equal(true, merchantAccounts.length > 20);
            done();
          });
        });
      });

      it('handles a response containing a single


    clientSecret: 'client_secret$development$signup_client_secret'
      });

      return gateway.merchant.create({
        email: 'name@email.com',
        countryCodeAlpha3: 'USA',
        paymentMethods: ['credit_card', 'paypal']
      }, function (err, response) {
        assert.isNull(err);
        assert.isTrue(response.success);

        gateway = new braintree.BraintreeGateway({
          accessToken: response.credentials.accessToken
        });

        gateway.merchantAccount.createForCurrency({
          currency: 'GBP',
      and business model. I ditched my Brita filter for
bottled water a couple years ago because of the black dots. It was
embarrassing to pour water for people when there were black dots floating in
it. Might have to switch back to a filter now.

~~~
JshWright
Are you in the U.S.? On municipal water? What's wrong with your tap water?

------
aioprisan
how do you pour the water out? don't you run into the same issue of taking
that filter out? and the shame wastes so much space in the fridge, for better
or worse, Brita ones are pretty efficient, space-wise

------
zdgman
The ability to recycle the filters should have been played up more! That's one
of the biggest things I hate about my current Brita filter.

Would be interesting to see the subscription cost for filters after the
initial run.

~~~
zachallia
It's going to


DeWeese (or his doppelganger) wrote: "The upshot is I disagree
significantly with what you wrote about God knowing the future in virtue
of knowing the entire world curve of an individual."

Would you also disagree that God can perceive a situation on, say,
January 25, 1974, and set in place a solution to the situation on, say,
August 12, 1973?

I pick those particular dates because I am convinced (private knowledge,
of course, in the way Kitty Ferguson uses that term in her book THE FIRE
IN THE EQUATIONS) that such activity really did take place. I have put
that story on another internet outlet (David Snoke's newsletter) and,
perhaps, should put it here also.of RT and CCS prediction, to prioritize and facilitate nontarget liquid chromatography (LC)-IMS-HRMS data processing. The fate of the insecticide pirimiphos-methyl (PM) in farmed Atlantic salmon exposed to contaminated feed was used as a case study. The theoretical prediction of 60 potentially relevant biological PM metabolites permitted the prioritization of screening in different salmon tissues (liver, kidney, bile, muscle, and fat) of known and unknown PM metabolites. An average of 43 potential positives was found in the sample matrixes based on the accurate mass of protonated molecules (mass error ≤5 ppm). The application of different tolerance filters for RT (Δ ≤ 2 min) and CCS (Δ ≤ 6%) based on predicted values permitted us to reduce this number up to 66% of the features. Finally, five PM metabolites


No, uh, deviant." "Sexual deviant?" "What is it?" "How do they classify it?" "Sex offender." "I'm on the registered sex offender list, yes." "You can't get that expunged?" "All you did was pull your dick out on a playground." "I was taking a piss at night, there were no kids." "All right, you know what?" "You don't put a playground right next to a bar." " It's entrapment." " Mm-hm." "Speaking of entrapment, I'm gonna go see that girl about her vagina." "Excuse me." "He did say 10:00, right?" " Yeah." "Do you know what this is about?" " It just said "staff meeting" on the memo." "It's funny how he gets all over my ass if I'm a minute late, but then he makes us wait 15.""That's wrong." " That is wrong." " It's affecting your possible marriage." " Come on, she's not ruining it." " Would your life be easier without Julia?" "You're right." "Uh, know what I'm gonna do?" "I'm gonna go to Julia's house, maybe I'll slash her up and I'll put her in a box and I'll mail it to you two, uh, tough-guy mafiosos." "I'm done with this conversation." "You're paying for dinner because you've upset me." "You're paying and I'm finding a cab somehow." "I was just speaking hypothetically, you know." "Me too." "Guess who." "Look, I'm really kind of not in the mood for this." "Not in the mood for what?" " Hi." " Hi, babe." "Oh, what are you doing here?" " I invited her." "


Yes." "She called." "And she said that now that we're engaged, she wanted to offer me free dental work." " And you know I have that loose filling." " Yeah." "This really was so, so sweet of you, Julia." "Oh, please." "Come on, Stacy, it's my pleasure." "You're part of the family now." "But, um, I don't know if it's a good idea, sweetie." "Oh, why not?" "Because we're mixing pleasure with business." "Business and pleasure." "We're taking advantage of Julia." "Dale." "There's nothing that you could do ever that would be taking advantage of me." " Okay?" " So sweet." "All right, you." "Let's go say we pump you full of gas, huh?" " Okay." " Okay." "Fuck me." "Ten." "Nine." "I don't know what you're doinglike, who they fucking." " Word." " Find them vulnerable." "I have a job, you know?" "What's that, surveillance and recon?" "That's why we were hiring, because we wanna sub that out." "We have jobs." "Even if you pull it off perfectly if you crackers got motives the popo..." " That's police." " ...will pin it to you." "We all have clear motives for killing our bosses so this is not gonna work." "This is garbage." "I got it." "Why don't you kill each other's bosses?" " That's actually a good idea." " It's not bad." "Yeah, like Hitchcock's Strangers on a Train, right?" " I didn't see that." "They do that?" " Danny DeVito movie." "It's funny." "That famous Alfred Hitchcock, Danny DeVito movie." "That's the one


are you guys doing?" "Nothing." "But before we go, I wanna take one more dump." "Take a dump and I'm gonna do push-ups." "Because I gotta get fit." "What the hell have you guys done?" "I'm feeling good, dude." "Wanna help me clean?" "We bond over this." "This is friendship stuff." "We broke into someone's house." "It's the most amazing experience of my life." "We broke into a man's house." "Suddenly, I'm like an expert at sifting cocaine." "It's amazing." "Come here and help me with this." "Can't believe we weren't prepared." "That was completely dangerous, a total waste of time." "Well, no." "Actually, not a total waste of time." "Look what I got." " Not bad, huh?" " What is that?" " Is this his phone?" "wanted to open it." "Like a real cat burglar." "Wow." "Just recon, now, okay?" "Hey, take this." "I don't want it." "I want my hands free." "You broke it." "I feel the intel..." " God!" " Okay, just a cat." "Out of nowhere." "Just a cat." "We're all right." "Let's look upstairs." "Come on." "They call me hell" "They call me Stacey" "That's not my name That's not my name" "That's not my name That's not my name" "They call me hell" "They call me her" "They call me hell" "They call me Stacey" "That's not my name That's not my name" "Oh!" "Goddamn it." "Jesus, how many cats do they have?" " It's the same one, I think." "Yeah." " Really?" "Quick little bugger, huh?" "Hey." "


not saying that." " You're pretty close to saying..." " Oh, fuck." "Holy shit." "Did you guys see me out there?" "Yeah, we saw you, Dale." "Shh." "Yeah, we saw that." "How cool was that?" "It wasn't cool at all." "We come out to gather information and you start stabbing Harken to death in front of the neighborhood?" " Harken?" " Who'd you think you were stabbing?" "I wasn't stabbing anyone." "He had an allergic reaction to some peanuts and I rescued him, know what I mean?" "He had a little allergy shot on him and I..." "I mean, I jabbed him with that, but I was just saving his life." " Saved a man's life." " Hang on a second." "So my boss, who we're thinking aboutyou next time." " Yeah." " Thank you, Bill." " Thank you, Bobby." "What?" "Whew." "Oh." "Shit." " Hey." " How's it going over there?" " What do you know about Julia?" " I learned I gotta switch dentists because this woman is unbelievably hot." " How's it going over there?" " Uh, it's..." "Just..." "I'm waiting for, you know, Pellit to sleep or leave or..." "Just..." "Just waiting." "Wonder what, uh, Dale's doing with Harken." "It's gonna be really hard." "And we'll have to work at this every day, but I wanna do that because I want you." "I want all of you forever, you and me, every day..." "Everybody was kung-fu fighting" "Everybody was kung-fu fighting" "Give me that." "Give it to me." "Jesus." "Where does


the shuttle to the rear position. Still further, once the pressure-force differential is lost, the frictional engagement of the seals surrounding the shuttle is likewise substantially lost, thereby permitting the movement of the shuttle in response to relatively small forces. Thereafter, when partial flow of fluid out of the spray nozzle occurs, such as when limited fluid flow out of the nozzle is permitted for cooling purposes, the shuttle tends to oscillate or otherwise act in an indeterminate manner, thereby impairing the bypass function. While a spring may be added to bias the shuttle rearward and reduce this indeterminate behavior, it has been found that this undesired effect cannot be eliminated entirely in the prior valve.change the culture, and you don’t do that in a couple of months or a couple of years even,” says Barden, who lost his 7-year-old son Daniel in last year’s shooting. “All my eggs are in this basket from now on. I have an obligation to my little Daniel.”


The newest Sphere Originator Units, Zegstia & Wintia, have arrived! Get better chances to summon them with the improved Step-Up promo at the Divine Summon gate starting from Jan. 26, 07:00 PST until Feb. 4, 06:59 PST!

Divine Summon

Each summon costs 5 Gems or 1 Summon Ticket .

or . Each summon grants 1 Brave Insignia .

. Each summon guarantees a minimum of 5✯ units with a chance to get a 7✯ for Omni Potential units.

The summon pool consists of units from Kulyuk 's batch to Alan ' s batch, excluding the Limited Edition units .

's batch to batch, . The featured units, Zegstia , Wintia , Ordine , are Omni Potential units with 7✯ minimum rarity.

, , are units with minimum rarity. Zegstia and Wintia are the new unitsmon factor of 288 and 748152.
72
Calculate the greatest common factor of 57 and 82707.
57
What is the highest common divisor of 580496 and 2698?
142
Calculate the highest common divisor of 854020 and 20.
20
What is the highest common divisor of 792 and 45837?
99
Calculate the highest common divisor of 88 and 1498684.
44
What is the highest common divisor of 24603 and 236?
59
What is the greatest common factor of 25348 and 32?
4
Calculate the highest common factor of 188 and 152.
4
What is the greatest common divisor of 644149 and 93?
31
What is the greatest common factor of 108 and 1114668?
108
Calculate the greatest common factor of 205440 and 1848.
24
What is the greatest common divisor of 514 and 527621?
257
Calculate the greatest common divisor of 7040 and 2860.
220
What is the highest common divisor of 2339296 and 3936?
1312
What is the


Another effective way of potentially increasing your incoming links…

Does it work for you?

Do you like seeing poor examples of something as a means of learning to avoid those same mistakes yourself?

The bad examples I use are real but I never identify who wrote them – if you searched hard enough you might figure it out, but I respect that the writers didn’t mean to provide us with bad examples and use discretion 🙂

I think it is an effective way of showing how to write well – but do you find it useful? Would you like to see more bad examples I spot to help you improve your writing?

For the next 10 days or so, we will be in Canberra meeting with clients. I have scheduled some blog postswell

someone outside of the industry can provide more clarity about how customers will perceive information (For example, people in superannuation and insurance talk about ‘benefits’ in a way that the general population doesn’t, so as a writer I change ‘benefits’ to ‘payments’ for clarity)

a writer’s job is to communicate a message clearly and effectively

good writers know how to research, and to read information to find the relevant points to put into a message

a lot of business content is actually generic and doesn’t need a lot of industry knowledge – website home pages, ads, media releases, profiles and brochures are about the business and marketing so a lot of technical information isn’t used

experienced writers are used to meeting guidelines and choosing words carefully so can manage even in tightly


Maid, giving her "supreme and undivided authority over the whole Clan". Oates then named as her Magister Robin the Dart.

Describing Cochrane's creation of his Witchcraft tradition, Oates remarked that "Like any true craftsman, he was able to mold raw material into a magical synthesis, creating a marvelous working system, at once instinctively true and intrinsically beautiful."

Beliefs

Theology
As in most forms of Neopagan Witchcraft, Cochranians worship both a Horned God and a Triple Goddess. The Goddess is viewed as the White Goddess, a term taken from Robert Graves' poem, The White Goddess.  She is also viewed as a triad of three mothers or three sisters, which both Cochrane and Evan John Jones noted as having similarities with the weird sisters or Norns of Germanic paganism.

In Cochrane's Craft, thefixation is one currently used method. These methods, however, are associated with a variety of disadvantages, such as high cost, lengthy inpatient hospital stays and the potential morbidity associated with open procedures.
Therefore, there is a need for a method of repositioning and fixing displaced vertebrae or portions of displaced vertebrae to a position within the vertebral column which is more stable or which causes less morbidity. Further, there is a need for a system for performing a method of repositioning and fixing displaced vertebrae or portions of displaced vertebrae to a position within the vertebral column which is more stable or which causes less morbidity.
According to one embodiment of the present invention, there is provided a bone screw comprising a proximal portion comprising a head with a proximal


1 v and 3 c when four letters picked without replacement from {v: 5, c: 14}?
455/969
Three letters picked without replacement from {f: 1, l: 1, c: 2, w: 2, b: 1, x: 2}. What is prob of picking 1 f and 2 x?
1/84
Calculate prob of picking 3 n when three letters picked without replacement from {n: 3, j: 4, p: 3, k: 2, m: 1, z: 2}.
1/455
Calculate prob of picking 2 z when two letters picked without replacement from zzzzzeee.
5/14
What is prob of picking 1 w, 1 o, and 1 s when three letters picked without replacement from ddoewoododsioisodesd?
3/190
Calculate prob of picking 1 o and 1 b when two letters picked without replacement from ozb.
1/3
Three letters picked without replacement from {m: 3, c: 1, e: 1, p: 4,Bay Railway as an intermediate station on a track it opened between  and . On 19 September 1942, the company, now renamed the Hakata Bay Railway and Steamship Company, with a few other companies, merged into the Kyushu Electric Tramway. Three days later, the new conglomerate, which had assumed control of the station, became the Nishi-Nippon Railroad (Nishitetsu). On 1 May 1944, Nishitetsu's track from Saitozaki to Sue and the later extensions to Shinbaru and  were nationalized. Japanese Government Railways (JGR) took over control of the station and the track which served it was designated the Kashii Line. With the privatization of Japanese National Railways (JNR), the successor of JGR, on 1 April 1987, JR Kyushu took over control of the station.

Shortly after opening, the station


Use of the International Classification of Headache Disorders, Second Edition, criteria in the diagnosis of primary headache in schoolchildren: epidemiology study from eastern Turkey.
We aimed to determine the prevalence of primary headache among schoolchildren in the city of Agri, located in eastern Turkey, where geographical, climatic and socio-economic conditions differ greatly from those of other regions of Turkey. A cross-sectional school-based (ages ranging from 11 to 18) study was conducted from January to April 2006. Diagnosis was based on the second edition of the International Classification of Headache Disorders. This population was evaluated by a two-stage clustered sampling procedure. In the first phase, 1385 children were asked whether they had had a headache within the past year. For the second-step interview, 540 children (38.9%) with a complaint ofpicks up the camera and creeps around their hotel room committing acts of vandalism while the couple rests . This one will get under your skin and make you think twice about ever using the same toothbrush twice on vacation.

The third tape centers on some unlikeable young people who go to a lake. While it is no surprise that the lake was the site of an unsolved murder rampage this one packs a small shick when it turns out one of the group is a bit of a liar.

Tape four was my favorite and centered on a long distance relationship . The couple use Skype to stay in touch and see each other. The young lady reports that she thinks her apartment is haunted and we witness several


name as Abu Mohamed, said fighters rushed to the scene to try to capture a foreign soldier but that they were not successful.

Western navies are patrolling the waters off the Horn of Africa nation - mired in conflict for more than two decades - and have in the past launched strikes on the shore from warships.

"This does not seem to be part of a widespread offensive, any kind of increase in the tempo of military operations against al-Shabab," Al Jazeera's Greste said.

"The main group who is responsible for dealing with al-Shabab here is the African Union peacekeeping mission, AMISOM."

In September 2009, a daylight commando raid carried out by a US Navy SEALs contingent in Barawe killed six people, including Saleh Ali Saleh Nabhan, a prominent al-Qaeda member inof the maxima toward the Gumbel’s law. This will be accomplished in two other steps: first we will get an explicit expression of the affine coefficients defining the sequence of levels $u_n$ needed to rescale the distribution of the maximum to avoid degenerate limits (Propositions \[PT\],\[ANBN\],\[FIN\]); then we will control the short returns in Proposition \[EVLLN\]. Whenever we will consider rare visits in the neighborhood of a periodic cycle, we will prove the existence of an extremal index less than $1$, and in particular equal to the magnitude of the noise.\
We would like to stress that we already investigated the EVT for random transformations obtained by perturbing with additive noise; we applied it to uniformly expanding maps [@AFV] and even to rotations [@FFLTV]. In both cases we got


is degenerate unless one proceed to a suitable re-scaling of the levels of exceedances. The precise formulation is the following: we have an Extreme Value Law for $(M_n)_{n\in\N}$ if there is a non-degenerate distribution function $H:\R\to[0,1]$ with $H(0)=0$ and, for every $\tau>0$, there exists a sequence of levels $(u_n(\tau))_{n\in\N}$ such that $$\label{eq:un}
\lim_{n\to\infty}n\mathbb{P}(Y_0>u_n)\to \tau,$$ and for which the following holds: $$\lim_{n\to\infty}\mathbb{P}(M_n \le u_n)\rightarrow 1-H(\tau).$$

The motivation for using a normalizing sequence $(u_n)_{n\in\N}$ satisfying comes from the case when $(Y_n)_{n\in\N}$ are independent and identically distributed. In this i.i.d. setting, it is clear that $\mathbb{P}(M_n\leq u)= (F(u))^n$, being $F(u)$ the cumulative distribution function for the variable $u$. Hence, condition implies that $$\mathbb{P}(M_n\leq u_n)= (1-\mathbb{P}(Y_0>u_n))^n\sim\left(1-\frac\tau n\right)^n\to e^{-\tau},$$ as $n\to\infty$. Note that in this case $H(\tau)=1-e^{-\tau}$ is the standard exponential distribution function. Let us nowprecise meaning), it can be expressed by a closed formula in terms of the strength of the noise, Proposition \[ANBN\] and \[FIN\] below. Moreover that formula could be used in a reversed way: since the sequence $(u_n)_{n\in\N}$ is now uniquely determined for any $n$, a numerical sampling for $(u_n)_{n\in\N}$ which provides convergence to the extreme value law, will bring information on the local geometrical properties of the stationary measure: this approach was successfully used, for instance, in [@FV1; @FV2].\

Random dynamical systems: RASP perturbation
===========================================

Let us consider a sequence of i.i.d. random variables $(W_k)_{k\in \N}$ with values $(\omega_k)_{k\in \N}$ in a space $\Omega_{\varepsilon}$ and with common probability distribution $\theta_{\varepsilon}$. Let $X\subset\R^D$ be a compact set equipped with the Lebesgue measure $m$ defined on the Borel $\sigma$-algebra, and $(f_\omega)_{\omega\in \Omega_{\varepsilon}}$ a


discontinuity point of $f$, and let $z\in\tilde{\Lambda}$. Consider the random perturbations defined in and let $\p=\mu_\eps\times\theta_\eps^\N$, where $\mu_\eps$ is a stationary probability measure. Let $Y_0, Y_1, \ldots$ be the stochastic process given by $Y_n(x,\omg) :=-\log d(f_{\omg}^n(x),\mathcal{O}(z))$, where $\mathcal{O}(z)$ is the orbit of $z$. Let $(u_n)_{n\in\N}$ be a sequence such that $\lim_{n\to\infty}n\p(X_0>u_n)=\tau\geq 0$. Then we have $$\lim_{n\to\infty}\p(M_n\leq u_n)=\e^{-\eps\tau}.$$

It has been shown in [@CGMU] that for any piecewise contracting map defined in a compact space, if the global attractor $\bigcap_{k=1}^\infty\overline{\Lambda}_k$ does not intersect the set of the discontinuities, then it is composed of finite number of periodic orbits. Therefore, under this hypothesis $\mathcal{O}(z)$ is a periodic orbit of the map. If $p$ is the period of this orbit, then $\{Y_0>u_n\}$ occurs if and only if $x\in U_n$, where $$U_n=\bigcup_{i=0}^{p-1} B(f^i(z),\e^{-u_n}).$$

Notelimit holds. However, as a side comment, we note that we can obtain an estimation of the sequence $\{u_n\}_{n\in\N}$ using a similar proof as the one of Proposition \[ANBN\], provided the density is bounded and continuous. Since $\tilde{\Lambda}\cap\Delta=\emptyset$, it is composed of finite set of periodic points that are not in $\Delta$ and using the definition of the sets $\Lambda_k$, it is easy to show that all the points of $\tilde{\Lambda}$ also belongs to $\Lambda$, i.e $\tilde\Lambda=\Lambda$. Thus, we can argue that, under the hypothesis of Theorem \[THEVL1\] and of Proposition \[FIN\], the density has the desired properties on $\tilde{\Lambda}$ to obtain an estimation of the sequence $\{u_n\}_{n\in\N}$.

The proof of the theorem consists in showing that $Y_0, Y_1,\ldots$ satisfies conditions $\D(u_n)$ and $\D_q'(u_n)$ and moreover $\vartheta$ given in


Case report. First isolation of Trichosporon domesticum from a cat.
The present study deals with the first isolation of Trichosporon domesticum from the urine of a cat with chronic cystitis. A 5-year-old domestic short hair cat weighing 5.6 kg was referred to an animal hospital with the chief complaint of haematuria having persisted for 3 weeks. The isolate was identified as T. domesticum, confirming the result of mycological examination by molecular analysis.-0.456 + -0.044. Which is the second smallest value?  (a) f  (b) x  (c) -2/5
c
Let s = 0.08 - 3.08. Which is the second biggest value?  (a) -0.2  (b) s  (c) -8
b
Let t = 0.21 - 0.2. Let x = t + -0.41. Suppose j - 20 = -4*j. Which is the second biggest value?  (a) 2/7  (b) j  (c) x
a
Let d(o) = 35*o**2 + o. Let x be d(1). Let f be -2*2/x*-1. Let l = -25 - -49/2. What is the second biggest value in f, 5, l?
f
Let q(t) = 5*t**2 - 2*t. Let v be q(2). Let z be 6/v*(-8)/(-30). Let l = -194 + 191. Which is the third smallest value?  (a) z


p(-2). Let j = 6 + -5.6. What is the second smallest value in j, v, n?
j
Let z(v) = -v**2 - 5*v - 1. Let w be z(-4). Let q = 17/36 - 2/9. Which is the smallest value?  (a) q  (b) w  (c) 4
a
Let z be 1/(-1 - 14/(-4)). Let u = -49 - -51. What is the second biggest value in u, 1, z?
1
Let m be (96/51 - 1) + -1. Let t be (-9)/42 + (-2)/(-4). Let z be (-6)/(-4)*(-3)/18. Which is the second smallest value?  (a) t  (b) z  (c) m
c
Let i = -3 - 1. What is the biggest value in 2/11, i, -1/4?
2/11
Let t(w) = w**2 - w - 5. Let z be t(0). Which isq, 0?
0
Suppose 0 = 5*w - r + 4*r + 10, 20 = -5*w - 5*r. Let d = 6.7 + -2.7. Which is the smallest value?  (a) 2  (b) w  (c) d
b
Let x = -190.8985 + 191. Let f = 4.7885 + x. Let s = f - -0.11. What is the third smallest value in -0.5, 2/13, s?
s
Let a(t) = t**2 + 20*t + 2. Let b be a(-20). What is the smallest value in -0.3, -0.06, b?
-0.3
Let u = 33 + -29. What is the third smallest value in u, -4/9, -0.4, -3?
-0.4
Suppose 42 = 4*t + 5*y - 10, 4*y = 2*t. Let h = t - 4. Which is the smallest value?  (a) 9  (b) -2/21  (c)


the greatest common factor of 2211 and 29067414?
201
What is the greatest common factor of 4120453 and 6377?
911
Calculate the highest common divisor of 90 and 103283755.
5
What is the greatest common factor of 383306560 and 1792?
448
Calculate the highest common factor of 105 and 387578695.
35
Calculate the greatest common divisor of 4876144 and 75348.
364
What is the highest common factor of 13246 and 169238?
74
Calculate the highest common divisor of 3765300 and 48356.
308
What is the highest common factor of 18 and 54870462?
18
What is the greatest common factor of 192461230 and 13?
13
What is the greatest common factor of 152354441 and 131?
131
What is the greatest common factor of 70 and 84807415?
35
Calculate the highest common divisor of 17 and 18706579.
17
What is the highest common divisor of 2348864 and 134456?
2744
Calculate the greatest common factor of 37257359 and 12752.
797
WhatJaar

Jaar may refer to:
Jaʿār, a town in the Abyan Governorate of southwestern Yemen
Kiriath-Jearim, a biblical city in the Land of Israel
Journal of the American Academy of Religion, an American Journal on Religion

Persons with the surname
Abubakar Jaar, a guardian and mayor of Padang
Alfredo Jaar (born 1956), Chilean-born artist, architect, and filmmaker
Nicolas Jaar (born 1990), American-Chilean musician
Ricardo Jaar (born 1968), Honduran Academic and Businessman
Roger Jaar, Haitian businessman
Salomón Jaar (1962–2010), Honduran politician

See also
JAARS, a nonprofit organization that provides technical services assisting in Bible translation
 Jar (disambiguation)


for Sprint or T-Mobile because the latter two typically do not charge overage fees for exceeding data-usage limits.

“We’re outraged to learn that Netflix is apparently throttling video for their AT&T customers without their knowledge or consent,” Jim Cicconi, senior EVP of external and legislative affairs, said in an emailed statement.

That umbrage may stem from Netflix’s stance on network neutrality. The company has championed strong regulatory measures by the FCC to prevent Internet providers from blocking or degrading content delivered over their networks. But there’s nothing to prevent Netflix or other content providers from restricting their own services as they see fit.

According to Netflix, its practice of throttling mobile video hasn’t been an issue for customers. The company has a point, given that the streaming cap has been infrom college and sitting up all night comparing notes with your high school friends. Or taking your first road trip with a boyfriend or girlfriend. Or, even if your summer job sucked, knowing that hey, in September, it was see-ya.

But as we know, despite the proximity of Barton Springs, summer for grown-ups is not all snow cones and swimming holes. It most often seems to involve freezing all day in a too-air-conditioned office, scorching your forearm on the gear shifter when you get in the car, walking across endless Costco parking lots, and battling the occasional bedbug infestation.

That’s why our appreciation for summer is mostly about nostalgia. And that’s why I adored our own DJ MILF’s summertime mix last night at DDPP, sprinkled as it was with hits


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hospital." "The biggest that money can buy." "And it will belong to you." "That anyone who is sick or in pain can go through those doors... and know that everything will be done for them... to heal sickness, to ease pain." "Free." "Not as a charity... but as a right." "And it is your right." "Do you hear me?" "It's your right that every child have an education." "That all who produce can take things to market without paying toll." "And no poor man's land can be taxed or taken away from him." "It is the right of the people that they shall not be deprived of hope." "Does he mean it, Jack?" "That's his bribe." "What if it is his bribe?" "He swept the old gang out"Now he had us all." "Me, Anne and Adam." "Now we all worked for him." "So the eyes of the entire nation are now focused upon Governor Stark... an amazing phenomenon on the political scene." "A whole state is filled with his accomplishments." "Each one of them bearing his personal signature... to make sure no one will ever forget him." "This is the way the roads used to be." "But some claim that they were adequate... that you don't need a 4-lane highway for a horse and buggy." "When Stark boasts of his great school system, his critics say:" ""You can't go to school and work fields at the same time."" "They question the benefit of these projects... charging that need and poverty is as great as before."


you?" "You can get police calls on it." "I'll show you." "This one for police calls." "Car 62, proceed to 518 Oak Street." "Tom Jones is beating his wife again." " Car 62, proceed to 518 Oak Street." " Now this one, go ahead." "We interrupt this for a special announcement." "Today, the body of Richard Hale, father of the girl who died... in the governor's son's car, was found." "A medical examination revealed he was beaten to death." "The charge of murder... has been hurled at the administration... by Stark's opponents, led by Judge Stanton... lately an outspoken critic...." "Your friend, the judge." "Thus an almost forgotten incident provided the spark that might set off... the explosion needed to rock Willie Stark out of power." "The latesttrick he ever knew and added a few more." "You won't live to be impeached." "Boy, I'll live to be president." "Step on it." "I've got 14 senators to vote against this impeachment." "If I win, you're out of politics." "I'll do whatever the judge says." "And always the trail led to one place... to Burden's Landing and the judge." "You sure you don't want me to go in?" "I'm sure." "Hurry it up, boy." "We got places to go." "I beg you, as a favor to yourself, to me." "Call up, release your votes." "I made a mistake once." "When I resigned." "It was too easy then, just resigning and pulling out." "I've made my choice." "I have nothing more to lose." "You know what Stark is


Fortune Electric Company?" "Of course." "I was their counsel for over ten years." " Remember how you got the job?" " How did you find out?" "Do you remember how you got the job?" "You know, dirt's a funny thing." "Some of it rubs off on everybody." "How did you get the job?" "Blackmail?" "I swear I never even remembered his name." "Isn't that remarkable?" "I never even remembered his name." "It's so long ago it's hard for me to realize it ever happened." "But it did." "Yes, it did." "Just difficult for me to realize it." "For me too." "Thanks for that much." "You know what the next move is, don't you?" "Yes, I do." "Jack Burden." "Willie Stark's hatchet man." "How did you find out?" "Thisended." "This is the result:" "Willie Stark... has won!" "They tried to ruin me." "But they are ruined." "They tried to ruin me because they didn't like what I've done." "Do you like what I have done?" "Remember." "It's not I who have won... but you." "Your will is my strength." "And your need is my justice." "I shall live in your right and your will." "And if any man tries to stop me from fulfilling that..." "I'll break him." "I'll break him with my bare hands." "For I have the strength of many." "I'm glad you're here." "Doctor, I'm glad..." "Does it hurt much, boss?" "Does it hurt much?" " Where are you going?" " Leave me alone." " To do what?" " I don't care." "That's


NS8 uses several monitoring stations around the world that
can watch the performance of a merchant’s website, identifying not just potentially fraudulent
customers, but also spotting any potential performance issues that might threaten site stability.
For example, if a site was suffering an outage where customers were unable to view secure
content, we would alert the merchant so that the issue could be corrected quickly before
it caused severe revenue losses for the business. NS8 Protect gave them
the ability to identify a looming SSL certificate expiration and sent them escalating alerts
so they could renew their certificates and avoid compromising their site’s performance.

We had moved hosting providers, and in the process, installed a certificate that expired
on a different timeframe than were used to. Nobody saw this expiration date coming… well,
except for the monitoring serviceswork can make dreams come true.

Swank

My name is Swank, and I am a rapper, singer, and songwriter for 99 Neighbors. I grew up in Burlington as the rest of the members, but I went to a Catholic school while they went to a public school a town over. We met through freestyling at parties or playing basketball in high school, which led to us realizing we all got a talent for this music shit. I was living outta state then realized I needed to be with them and make music so I moved back, tracked everything we have post-Television and it’s a wrap from there. This group has helped me with patience for sure [laughs]. [It] has led me to realize that apart from my mom and pop,


(3A6-Ab). Testing different domains of the NogoA for neurite growth inhibitory activity have delineated several inhibitory domains in the molecule (Chen et al. (2000) Nature 403, 434-439; GrandPre et al., (2000) Nature 403, 439-444; Prinjha et al. (2000) Nature 403, 383-384.
Natural immunoglobulins or antibodies comprise a generally Y- shaped multimeric molecule having an antigen-binding site at the end of each upper arm. The remainder of the structure, in particular the stem of the Y mediates effector functions associated with the immunoglobulins. Antibodies consists of 2 heavy and 2 light chains. Both heavy and light chains comprise a variable domain and a constant part. An antigen binding site consists of the variable domain of a heavy chain associated with the variable domain of a light chain. The variable domainsof the heavy and light chains have the same general structure. More particularly, the antigen binding characteristics of an antibody are essentially determined by 3 specific regions in the variable domain of the heavy and light chains which are called hypervariable, regions or complementarity determining regions (CDRs). These 3 hypervariable regions alternate with 4 framework regions (FRs) whose sequences are relatively conserved and which are not directly involved in binding. The CDRs form loops and are held in close proximity by the framework regions which largely adopt a β-sheet conformation. The CDRs of a heavy chain together with the CDRs of the associated light chain essentially constitute the antigen binding site of the antibody molecule. The determination as to what constitutes an FR or a CDR region is


be able to poke some holes in Obamacare regulations but you can’t repeal the whole thing,” said Stan Collender, a federal budget expert and executive vice president at Qorvis MSL Group.

Lawmakers also can’t use reconciliation in a way that would add to the budget deficit and repealing Obamacare would cost millions.

Republicans’ greatest enemy in the short term, however, is time. Already on lawmakers’ plates before the end of the year is a series of deadlines that are poised to turn into their own major messes.

“They have a really limited amount of time and a huge agenda,” said Norman Ornstein, a congressional expert and scholar at the conservative American Enterprise Institute. Lawmakers are set to debate the Iran deal, a possible government shutdown and raising the debt ceilings, among0.123869 + 0.2.
0.323869
Work out -0.75 - 83.9.
-84.65
What is -0.07 minus 64.8325?
-64.9025
Work out -1 - 11113.
-11114
Calculate -1286 - 0.08.
-1286.08
Calculate 4407 - -0.08.
4407.08
What is the difference between 53717 and -0.5?
53717.5
Add -0.06 and -0.178.
-0.238
-1.3 + 0.33
-0.97
Calculate -5 + 1750.
1745
-276+282
6
Sum 387 and -3.4582.
383.5418
Total of 131.7 and -0.6.
131.1
Work out -2 + -1738.
-1740
What is 2350 less than -475?
-2825
What is 1 minus 1.502?
-0.502
What is -10343 - -0.3?
-10342.7
What is -5 - -0.345132?
-4.654868
Put together -3611 and 3.
-3608
Add 131608.7 and 0.2.
131608.9
Add together -455 and -0.09.
-455.09
What is 0.0901 - -0.4?
0.4901
Calculate 0.3 + 535145.
535145.3
Calculate 15.25 - 0.5.
14.75
Subtract 19.125 from -0.4.
-19.525
0.01 - 15108.6
-15108.59
Sum 0.9 and -5546.
-5545.1
Work out 200 - -2.11.
202.11
46 + -1.4973
44.5027
What is the difference between 0.072 and 2.1?
2.028
What is -826 less than -132?
694
Put together 0.3 and 665.
665.3
Calculate 349 + 1.68.
350.68
-1.41+0.52
-0.89
Calculate -0.2 - 30146.
-30146.2
What is -0.03 plus -87232?
-87232.03
What is 0.426 -


cover ENA, EPMI, ECC and Clinton Energy Management
Services, Inc. and additionally should cover the master energy agreement with
EPMI.  Do we have a date of execution or effective date for such master
energy agreement.  The contract relationship document merely states that the
guaranty should cover the new master firm purchase sale agreement  that ENA
is negotiating with Engage and an master energy agreement between EPMI and
____.  No agreements of any type are specified for ECC or Clinton Energy
Management Services, Inc.  Also, are any of the Master Swap agreements that
ENA has with Engage to be covered by the requested guaranty?  I believe that
we need to get together at your convenience and determine exactly which
contracts Enron Corp. isQ:

Logback output to mySQL

I am trying to output Selenium logs test to mysql database. I have logback.xml that is located in src of package:
<?xml version="1.0" encoding="UTF-8"?>
<configuration>
<appender name="DB" class="ch.qos.logback.classic.db.DBAppender">
        <connectionSource class="ch.qos.logback.core.db.DriverManagerConnectionSource">
                <dataSource class="com.mysql.jdbc.jdbc2.optional.MysqlDataSource">
            <serverName>http://php4dvd.com.ua/openserver/</serverName>
            <port>3306</port>
            <databaseName>ConsoleOutput</databaseName>
            <user>root</user>
            <password></password>


2013, Andretti’s highest finish in series points has been seventh twice. Last year he was 16th. And, he has won just two races.
Andretti is off to a nice start this season, with a 3rd-place finish at St. Petersburg and seventh at Barber, good enough to put him in fourth place in series points with 61.
“I think I’m pleased,” said Andretti, who races for his father, Michael, and Andretti Autosport. “I’ve been really working on consistency in the off-seasonn and we have that. But I need to be consistently better. Obviously, having teammates wins races, it bodes well for us and what we can do in the future. But I definitely feel it’s my turn and we need to win.”
Andretti said one of the things he concentrated on duringThe impact of glycaemic control on autoregulation of glomerular filtration rate in patients with non-insulin dependent diabetes.
The ability of the kidney to maintain constancy of glomerular filtration rate (GFR) over a wide range of renal perfusion pressures is termed autoregulation. Defective autoregulation of GFR has been demonstrated in patients with diabetic and non-diabetic nephropathy and in streptozotocin diabetic rats during hyperglycaemia. Information on the potential impact of acute changes in glycaemic control on autoregulation of GFR in diabetic patients is lacking. Therefore the aim of our study was to evaluate the effect of acute lowering of blood pressure (BP) on GFR during normoglycaemia and hyperglycaemia. We investigated 14 (12m/2f) normoalbuminuric patients with non-insulin dependent diabetes (NIDDM). The patients were examined in random order on two separate days with


Preferential recurrence of a sarcomatous component of a gliosarcoma after boron neutron capture therapy: case report.
Gliosarcoma, a rare pathological entity composed of 2-8% malignant gliomas, is characterized by a biphasic tissue pattern with alternating areas displaying glial and mesenchymal differentiation. Here we report the preferential recurrence of a sarcomatous component in gliosarcoma after boron neutron capture therapy (BNCT), while a gliomatous component disappeared as a result of the treatment. A 56-year-old woman with a left frontal tumor was introduced to our clinic. After stereotactic biopsy, craniotomy was applied and 90% of the mass was resected. The histological diagnosis was glioblastoma with small amounts of sarcomatous component, that is, gliosarcoma. BNCT was applied 30 days after craniotomy. Two weeks after BNCT, almost all of the contrast-enhanced mass had disappeared\PP^n(\field)$) of degree $d$ passing through $r$ points $p_1,\dots,p_r$ in general position with multiplicities at least $m_1,\dots,m_r$. The dimension of such system is denoted by $\dim \sys_n(d;m_1,\dots,m_r)$. Define the [virtual dimension of $L = \sys_n(d;m_1,\dots,m_r)$]{} $$\operatorname{vdim}L \rdf \binom{d+n}{n} - \sum_{j=1}^{r} \binom{m_j+n-1}{n} - 1$$ and the [expected dimension of $L$]{} $$\operatorname{edim}L  \rdf \max \{ \operatorname{vdim}L, -1 \}.$$ Observe that $\dim L \geq \operatorname{edim}L$. If this inequality is strict then $L$ is called [special]{}, [non-special]{} otherwise. The system $L$ is called [non-empty]{} if $\dim L \geq 0$, [empty]{} otherwise.

The problem of classifying special systems has been widely studied by many authors, especially for $n=2$ (most of papers included in reference section deal with the case $n=2$; there are many others). For low multiplicities (i.e. bounded by some constant) the


ampleness and nefness of divisors on blow-ups of $\PP^2$. Our theorem uses the same concept, but the proof is completely different and works in any dimension ($n \geq 2$).

\[maintool\] Let $n \geq 2$, let $d,k,m_1,\dots,m_r,m_{r+1},\dots,m_s \in \N$. If

-   $L_1 = \sys_n(k;m_{1},\dots,m_s)$ is non-special,

-   $L_2 = \sys_n(d;m_{s+1},\dots,m_r,k+1)$ is non-special,

-   $(\operatorname{vdim}L_1+1)(\operatorname{vdim}L_2+1) \geq 0$,

then the system $L=\sys_n(d;m_1,\dots,m_r)$ is non-special.

In the proof of Theorem \[maintool\] we will use the reduction method introduced in [@md]. We must adapt this method to the $n$-dimensional case. The following notations are used only in the proof of Theorem \[maintool\].

Every system $\sys_n(d;m_1,\dots,m_r)$ can be considered as a vector space $V_n(d;m_1,\dots,m_r)$ (over $\field$) of polynomials $f \in \field[x] = \field[x_1,\dots,x_n]$ of degree at most $d$, such that $\operatorname{mult}_{p_j}f \geq m_j$, for $p_1,\dots,p_r$\beta_1+\dots+\beta_n \leq nd-(m_1+\dots+m_n) < d$, the map $$M \ni x_1^{\beta_1}\cdot\ldots\cdot x_{n+1}^{\beta_{n+1}} \longmapsto
x_1^{\beta_1}\cdot\ldots\cdot x_n^{\beta_n} \cdot x_{n+1}^{\beta_{n+1}-1}$$ is one-to-one and its image corresponds to the system $\sys_n(d-1;m_1-1,\dots,m_n-1,m_{n+1},\dots,m_r)$. Geometrically speaking, the hyperplane passing through the first $n$ points is in the base locus of $\sys_n(d;m_1,\dots,m_r)$ and can be “taken out”.

We say that [$\sys_n(d;m_1,\dots,m_r)$ is in standard form]{} if $d < 0$ or the following holds:

-   $m_1,\dots,m_r$ are non-increasing,

-   $(n-1)d - \sum_{j=1}^{n+1} m_j \geq 0$.

\[standard\] Each system $L$ has its standard form $L'$ such that $\dim L = \dim L'$.

The following set of instructions allows to transform any system $L$ into a standard form.

-   sort multiplicities in non-increasing order,

-   if $(n-1)d-\sum_{j=1}^n m_j < 0$ then take $L \ass \operatorname{Hp}(L)$ and go back to the


in [@mdwj] $\dim L \leq \dim L'$. Since $L'$ is condition-free, we have $\dim L'=\operatorname{vdim}L'=\operatorname{vdim}L$.

\[reductionminus\] Let $L=\sys_2(d;m_1,\dots,m_r)$. If $\operatorname{vdim}L \leq -1$ and $L$ can be reduced to a system $L'$ (using weak reductions decribed in [@mdwj]) such that $L'$ has no monomials, then $L$ is empty (and hence non-special).

Again, by Thm. 17 in [@mdwj] we have $\dim L \leq \dim L' = -1$.

\[4points\] Let $m \geq 0$. The systems $\sys_2(2m-1;m^{\times 4})$ and $\sys_2(2m;m^{\times 4})$ are non-special.

Use birational transformation.

\[squarepoints\] Let $r \geq 3$, let $m > (r-2)/4$. Then $\tau_2(m^{\times r^2}) = rm+\lceil(r-3)/2\rceil$.

See [@tausquare], Lemma 5.3.

Algorithms
==========

To bound $\alpha_n$ and $\tau_n$ it is sufficient to find an algorithm, which, given $n,d,m_1,\dots,m_r$, returns either [non-special]{} (and then the system $\sys_n(d;m_1,\dots,m_r)$ is non-special), or [not-decided]{}. We will focus on such algorithms. The answer$\tau_2$ are known (see e.g. [@harsesh], [@roe1] and [@roe2] for Roé’s unloading method, [@harroe] for modified unloading, [@M], and finally [@surv] for survey through many algorithms). We will use algorithm [NSglue]{} with $$\begin{aligned}
\text{{\sc Eclass}} & = \{ L : L \text{ is non-special by Criterion \ref{crendcr}, \ref{reductionplus}} \text{ or } \ref{reductionminus}\},\\
\text{{\sc Gclass}} & = \{ \sys_2(2m;m^{\times 4}) \} \cup \{ \sys_2((2s+1)m+s-1;m^{\times (2s+1)^2}), \, s=1,\dots,10 \}.\end{aligned}$$ By Crit. \[squarepoints\] the set [Gclass]{} contains non-special systems (this criterion does not work for all $m$, but even in the worst case it works for $m \geq 5$; for $m \leq 4$ everything is known, see e.g. [@CMir]). The implementation of [NSglue]{} with the above classes can be found and downloaded from [@MYWWW]. The work is done in FreePascal.

For a very large


$\alpha_3$ and $\alpha_4$.

For $n=3$ we will consider homogeneous systems and use [NSglue]{} with $$\begin{aligned}
\text{{\sc Eclass}} & = \{ L : L \text{ is non-special by Crit. \ref{crendcr}}\},\\
\text{{\sc Gclass}} & = \{ L = \sys_3(d;m^{\times r}) : r \in \{4,\dots,8\} \text{ and $L$ is non-special by Crit. \ref{crendcr}}\}.\end{aligned}$$

We will show that $\alpha_3(5^{\times 50}) = 20$. Since (by computation of virtual dimension) we have $\alpha_3(5^{\times 50}) \leq 20$, it is enough to show that $\sys_3(19;5^{\times 50})$ is empty. Observe that (by Crit. \[crendcr\]) systems $\sys_3(9;5^{\times 7})$ and $\sys_3(8;5^{\times 5})$ are empty. By “glueing” points (six times using $\sys_3(9;5^{\times 7})$ and then $\sys_3(8;5^{\times 5})$ once) it is enough to show that $\sys_3(19;10^{\times 6},9,5^{\times 3})$ is empty. This is true by Crit. \[crendcr\].

Some bounds for $\alpha_3(m^{\times r})$ obtained with [NSglue]{} are presentedThe famous Nagata Conjecture (see [@nagata]) states (in the language of Seshadri constants) that $$\varepsilon(\stbun,r) = \frac{1}{\sqrt{r}}$$ for $r \geq 9$. The conjecture is still open. It is known that $\varepsilon(\stbun,r) \leq \frac{1}{\sqrt{r}}$, so we may look for lower bounds for Seshadri constant. We will use the following fact:

\[quasi\] Any irreducible and reduced curve $C \subset \PP^2$ disproving Nagata Conjecture for $r \geq 10$ is almost homogeneous, that is there exists $d,m,m_0 \in \N$ such that $C \in \sys_2(d;m^{\times r-1},m_0)$.

See [@syzdek], Prop. 2.10, where the above theorem is stated for a polarized surface $(X,L)$ with Picard number equal one, two or three, or [@harroe2], Prop. 3.2, where additional conditions on $d,m,m_0$ are given.

\[22\] $$\varepsilon(\stbun,22) \geq \frac{42}{197} = \frac{1}{\sqrt{22+\frac{1}{1764}}}.$$

Observe that it is enough to exclude the existence of an


observe that it works very well for $r=k^2-1$, on the other hand the worst results are obtained for $r=k^2+1$ and, surprisigly, $r=13$.

One may ask if [NSglue]{} can compute Seshadri constant, i.e. if $$\lim_{m \limto \infty} \frac{m-1}{d(r,m)} = \varepsilon(\stbun,r),$$ where $d(r,m)$ is the bound on $\tau_2(m^{\times r})$ obtained with our algorithm. The answer is not known.

[Laf–Uga 03b]{} J. Alexander, A. Hirschowitz, *Polynomial interpolation in several variables*, J. Algebraic Geometry 4, 201–222 (1995). P. Biran, *Constructing new ample divisors out of old ones*, Duke Math. J. 98, 113–135 (1999). K. Chandler, *A brief proof of a maximal rank theorem for generic double points in projective space*, Trans. Amer. Math. Soc. 353, 1907–1920 (2001). C. Ciliberto, R. Miranda, *Degeneration of planar linear systems*, J. Reine Angew. Math. 501, 191–220 (1998). C.Ciliberto, R. Miranda, *Linear systems of plane curves with base points of equal multiplicity*, Trans. Amer. Math. Soc. 352, 4037–4050 (2000). J.P. Demailly, *Singular Hermitian metrics on positive line bundles*, Complex Algebraic Varieties (K. Hulek at al., eds.), LNM, vol. 1507, 87–104, Springer, 1992. C. De Volder, A. Laface, *On linear systems of $\PP^3$ through multiple points*, J. Algebra 310, 207–217 (2007) M. Dumnicki, `http://gamma.im.uj.edu.pl/dumnicki/interpol.htm`, February 7, 2008. M. Dumnicki, W.Jarnicki, *New effective bounds on the dimension of a linear system in $\PP^2$*, J. Symbolic Comput. 42, 621–635 (2007). M. Dumnicki, *Cutting diagram method for systems of plane curves with base points*, Ann. Polon. Math. 90, 131–143 (2007). T. Eckl, *Seshadri constants via Lelong numbers*, arXiv:math/0508561, to be published in Math. Nachr. (2005). B. Harbourne, `http://www.math.unl.edu/~bharbourne1/FatPointAlgorithms.html`, February 7


*La méthode d’Horace pour l’interpolation à plusieurs variables*, Manus. Math. 50, 337–388 (1985). A. Hirshowitz, *Une conjecture pour la cohomologie des diviseurs sur les surfaces rationelles génériques*, J. Reine Angew. Math. 397, 208–213 (1989). A. Laface, L. Ugaglia, *On a class of special linear systems of $\PP^3$*, Trans. Amer. Math. Soc. 358, 5485–5500 (2006). A. Laface, L. Ugaglia, *Quasi-homogeneous linear system on $\PP^2$ with base points of multiplicity 5*, Canad. J. Math. 55, 561–575 (2003). F. Monserrat, *Curves having one place at infinity and linear systems on rational surfaces*, J. Pure Appl. Algebra 211, 685–701 (2007). M. Nagata, *On the 14-th problem of Hilbert*, Amer. J. Math. 81, 766–772 (1959). J. Roé, *On the existence of plane curves with imposed multiple points*, J. Pure Appl. Alg., 156, 115–126Q:

Do electronic calculators inhibit mathematical thinking?

I am interested in educators real-world experience or being pointed to any research in this area.
I have a student whose arithmetic skills are weak for his/her age. The student counts on his/her fingers when attempting to multiply, struggles to add two integers with a total greater than 20, cannot compare the relative size of fractions with different denominators, etc. These are skills which I understand "most" students would hope to master several years earlier than this student. I believe this student has fallen into a comfortable routine of (i) finger-counting or (ii) guessing or (iii) giving up on a question. Not to be critical of finger-counting, it is just that even the most basic of exam questions are inaccessible to this student.
I have


My sense is that "teaching how to answer the question" is a very "fragile" form of learning since a question can be rephrased slightly and the student can feel he/she hasn't been taught how to answer that question.
So do people have evidence that routinely using electronic calculators helps or harms development of basic/fundamental mathematical problem-solving skills?

A:

I am going to venture an answer here:
Try the calculator. I have had students whose minds were opened by less likely tools, and you never know. You shouldn't be restricted by thinking logically and linearly, viz. foundation prepares for scraping the sky. Neurology is more complicated than that.
I have seen my students' eyes opened by other "tools." Also, the calculator may act as a much-needed crutch and allow this student toButler was anti-conscription pamphleteer JW Kneeshaw, who complained in a 1918 booklet about ship owners' profits.

For example, the Manchester Guardian in May 1917 reported that the shipping firm Frederick Leyland & Co paid dividends at a rate of 24.5% for 1915 and 88% for 1916.

Mr Kneeshaw quoted a Labour MP, William Crawford Anderson, in referring to the famous recruiting poster of the daughter asking her father: "Daddy, what did you do in the Great War?"

"When the ship owner's child asks him that question his answer will be simple and comprehensive," said Mr Anderson: "He will reply, 'I did everybody.'"

Wage gap squeezed

Profit during the war was a concern of politicians and various taxes were levied, including an excess profits duty.

And yet, taken as a whole, it was workers who


"We're here at lunch together... which I knew is why you invited me... and I'm here eating to get guilty with you, right?" "I'm asking you to take over the show for six weeks." "What's six weeks?" "I'll give you anything, but don't ask me to do six weeks." "I can't take over the show for six weeks." "I can't even take over my own life for six weeks." "You're asking for something that's impossible!" "It's impossible!" " Rupert!" " Don't you understand..." "What?" "What are you doing down there so late?" "It's impossible!" "I'm trying to tell you that." "What, you want me to cry?" "There must be a way to work it out." "It's just six weeks." "Excuse me." "Um, Mr. Pupkin?" "You think you could...""Yeah." "Sure." "What's your name, dear?" " Dolores." " Dolores?" "That was my father's name." ""To Dolores... who sensed greatness."" "There you go, sweetheart." " Thanks, Mr. Pupkin." " Don't mention it." "Rupert!" "Rupert, who you talking to?" " Mom!" " What is it?" "Please stop calling me!" "It's terrific." "It's great." "There's only one problem, though." "He made-he made you bigger." "Would you answer me?" "All right!" "You've got the six weeks!" "Don't bother me!" "I'll give you the six weeks!" "What can I say?" "You happy now?" "You're a tough man, Rupe." "You got to be in this business." "Ha ha ha ha!" "Ha ha ha ha ha!" "Hello." "Hello." "It's Masha, Jerry." " Who?" " Did you get my note?" "Who's this?" "Masha." "Didn't you


bigger the fame." "That might be true, Rupert, but who is it?" ""R" is the first letter." "Come on, Rupert, who is it?" "I'm tired." "I'll give you a little hint." " Oooo" " Robert Redford." "Ha ha." "No." "Ha ha ha ha." "No, no." "That's "Rupert Pupkin"." "Rupert Pupkin." "I surprised you, didn't I?" "Take this as a gift." "Take good care of that." "Soon everyone's going to want one." "Rupert, you have not changed." "Just a couple of hours ago, you know who I was talking to?" " Guess!" " Your shrink?" "Ha ha!" "That's very funny." "No." "Jerry Langford." "That's right." "The Jerry Langford." "He gave me the go-ahead, Rita." "Would you believe it?" "And you know what?" "Don't tell anyone yet... but you're lookingI don't mind." "It's OK" "Tell you what." "Why don't you try me tomorrow afternoon for sure?" " Tomorrow?" " Mm-hmm." " What time?" " 4:30." "4:30." "I'll be here." " Thank you." " You're welcome." " And thank Jerry." "OK" " I will." "Goodbye." "Goodbye." "At least once in his life, every man is a genius." "I'll tell you something, Rupe... it will be more than once in your life for you... because you've got it." "From what I've heard here, yeah, you've got it... and you're stuck with it." "If you wanted to get rid of it, you couldn't." "It's always going to be there." "I know there's no formula for it." "I just don't know how you do it... and I'm not curious, mind you...


here." "No." "That's OK We'll just wait." "It's OK We don't mind waiting." "Is this lovely?" "The table's only set for one." "How you like it?" "I could live here." "Mr. Langford, I'm sorry to disturb you, sir." "Uh, what's wrong?" "Everything's wrong." "There a couple over here." "His name is, uh, uh, Pumpkin." "Pumpkin, yes." "Do you know a name Pumpkin?" "So, didn't you tell him what time we'd be getting here?" "We didn't have time to iron out the details." "Yeah, but that butler wasn't even expecting us." "Jerry has more important things to think about... than what he's going to tell his houseboy." "Oh, really?" "Well, excuse me." "He knows everything." "He knows you're playing golf and everything." "He want to spend a weekend overright." "I'm wrong." "If I'm wrong, I apologize." "I'm just a human being... with all of the foibles and all of the traps... the show, the pressure... the groupies, the autograph hounds... the crew, the incompetence... those behind-the-scenes you think are your friends." "You're not sure if you'll be there tomorrow... because of their incompetence." "There are wonderful pressures that make every day... a glowing, radiant day in your life." "It's terrific." "OK, if all of that means nothing... if I'm wrong, in spite of all that... then I apologize." "I'm sorry." "If you accept my apology..." "I think we should shake hands." "We'll forget the whole thing." "I won't press charges." "You could be in deep trouble... but I will not press charges." "That's easy for you


incident has made..." "Rupert Pupkin a household word." "Pupkin's performance has been viewed... by a record 87 million American households." "Rupert Pupkin, kidnapping king of comedy... was sentenced to six years imprisonment... at the government's minimum security facility... in Allenwood, Pennsylvania, for his part... in the abduction of talk show host Jerry Langford." "On the anniversary of his appearance on the show..." "Rupert Pupkin told a gathering of reporters... he still considers Jerry Langford... his friend and mentor." "He reported he had been spending his time... writing his memoirs, which have been purchased... by a leading publishing house... for in excess of $1 million." "Rupert Pupkin was released today from Allenwood... after serving 2 years and 9 months... of a six-year sentence." "Hundreds greeted the 37-year-old... comedian anddoesn't exist." "Nothing you could have done." "The boy was out peeing, when they crashed." "What he sawÉ" "Poor kid." "He was all alone." "They followed his tracks with dogs, and found this." "Right where we were earlier." "The year after a fisherman found this." "In the river below." "May I have a look?" "Of course." "Did anyone untie this knot?" "No." "They found it like that." "Do you know anything, about shoelaces, Sara?" "Of course you're right, Sara." "He fell in." "Thank you." "So you tied the laces." "You threw the shoe into the river." "Then you took Peter." "Do you hear the scream in the waterfall?" "Do you hear anything?" "I hear nothing,." "Just the waterfall." "The scream is in the woods." "What is he doing


a report and recommendation to which no objections have been made, as long as no clear error is apparent from the face of the record. See White v. Fischer, No. 04-CV-5358, 2008 WL 4210478, at *1 (S.D.N.Y. Sept. 12, 2008). The clearlyerroneous standard also applies if a party makes only "conclusory or general objections, or simply reiterates his original arguments." Barratt v. Joie, No. 96-CV-324, 2002 WL 335014, at *1 (S.D.N.Y. Mar. 4, 2002). After reviewing the Report and Recommendation and the objections thereto, the district court "may accept, reject, or modify, in whole or in part, the findings or recommendations made by the magistrate judge." 28 U.S.C. § 636(b)(1).

II. Warrantless Search and Seizure at 13 Borchard Street on August 6, 2006
Defendant first objects to Magistrate Judge Payson'sQ:

A quicker than outer

I need to get a matrix $\{a(x_i-x_j)\}$, where $x_i$ form a partition of an interval, $a(x)$ is a given function. I use
In[67]:= a[x_?NumericQ] := N[Exp[-Abs[x]]];
         x = Table[-10 + 0.02 (j - 1), {j, 1, 1001}];
         A = Outer[a[#1 - #2] &, x, x]; // AbsoluteTiming

Out[69]= {2.99032, Null}

I think it spends too much time. A modification
In[209]:= B = Partition[Map[a, Flatten[Outer[#1 - #2 &, x, x]]], 1001]; // AbsoluteTiming
Out[209]= {2.88966, Null}

does not help too much as well. Can I do this faster?

A:

Vectorization will help a lot:
a[x_?NumericQ] := N[Exp[-Abs[x]]];
x = Table[-10 + 0.02 (j - 1), {j, 1, 1001}];
A = Outer[a[#1 - #2] &, x, x]; // AbsoluteTiming
(* {2.11988, Null}


-9*a**2 - 12*a. Let y be 5 - (-2 - -3) - 1. Let m be (-1 - -2 - y) + 32. Let w = -18 + m. Let t(i) = i**2 + i. Determine w*t(l) + z(l).
3*l**2
Let s(a) = a + 1. Let c(k) = 5*k + 2. Let b be (60/(-2))/(3/10). Let d = -101 - b. Give d*c(y) + s(y).
-4*y - 1
Let c = 14 - 6. Let p(f) = 3*f**2 - 4*f - 4. Let g(y) = -1 + 0*y - 5*y**2 + 6 + 6*y + 1. Give c*p(q) + 5*g(q).
-q**2 - 2*q - 2
Let k(s) = -123*s**2 + 4*s - 3. Let f(r) = -122*r**2 + 5*r - 4. Determine -5*f(t) + 6*k(t).
-128*t**2 - t + 2
Let z be 26/(-39) ++ i
Let j(x) = 3*x**3 + 5*x**2 + 3. Let y(r) = -8*r**3 - 15*r**2 - 9. What is 17*j(m) + 6*y(m)?
3*m**3 - 5*m**2 - 3
Let b(n) = -n - 9. Let y be (4 + -1 + 0)*1 + -9. Let j(r) = 1. Determine y*j(t) - b(t).
t + 3
Let s be 30/((-130)/(-13))*2/(-6). Let n(v) = -v. Let q(t) = 2*t + 2. Determine s*q(j) - n(j).
-j - 2
Let m be (21/(-28))/((-1)/24). Let r = -12 + m. Let k(c) = 7*c + 7. Let p(a) = -6*a - 6. Determine r*p(z) + 5*k(z).
-z - 1
Let z(d) = 2*d**2 + 3*d - 3. Let u(c) = -3*c**2 - 4*c + 4. Let m be (-90)/4*(-36)/27. Suppose 4*t - t = -m. Let y = t + 13.


Restani, United States Court of International Trade Judge, sitting by
designation.
                                               2
              Case: 18-12077     Date Filed: 11/15/2019    Page: 3 of 34

Telecel on behalf of DIRECTV while it failed to maintain an internal do-not-call

list, in violation of FCC regulations.

      The district court certified the class and we granted interlocutory review

under Federal Rule of Civil Procedure 23(f). We now vacatethe district court’s

certification order. The unnamed members of the putative class who did not ask

DIRECTV to stop calling them -- and thus would not have been on the internal do-

not-call list, even if it had existed and had been maintained perfectly -- were not

injured by the failure to comply with the regulation. That means their injuries are

not fairly traceable to DIRECTV’s alleged wrongful conduct, and therefore they

lack Article III standing to sue DIRECTV.

      This does not mean the case is nonjusticiable, because the named plaintiff --

who repeatedly asked not to be called -- has standing, and all that Article III

requires for the claim to be justiciable is that a named plaintiff have standing.

Cordoba has established an injury in fact, traceability, and redressability. But


    Case: 18-12077      Date Filed: 11/15/2019     Page: 4 of 34

class members, the court will have to sort out those plaintiffs who were actually

injured from those who were not. Determining whether each class member asked

Telecel to stop calling requires an individualized inquiry, and the district court did

not consider this problem at all when it determined that issues common to the class

predominated over issues individual to each class member. We, therefore,

conclude that the district court abused its discretion in certifying the class as it is

currently defined, vacate the class it certified, and remand for further proceedings

consistent with this opinion.

                   and

even though he repeatedly told Telecel that he did not want to be called. The

owner of Telecel admitted that the company did not maintain an internal do-not-

call list (plainly a violation of FCC regulation), and said that its practice was to

simply delete individuals’ contact information from its database if they asked not

to be called. Cordoba says that he went so far as to write to DIRECTV and request

that they cease calling him. DIRECTV responded and promised that they would

no longer contact him, but still the calls continued.

      Cordoba commenced this class action lawsuit in the United States District

Court for the Northern District of Georgia, alleging that DIRECTV and Telecel

have violated several aspects of the TCPA’s regulatory scheme. He sought to

represent two classes. The


petition asked for review of two questions, but we

granted permission to appeal on only one of them. 1 That question, which we now

address, is “[w]hether a recipient of a telemarketing call who did not request to be

placed on the caller’s internal DNC [do-not-call] list has standing under Article III

to maintain a claim that the caller failed to institute appropriate internal DNC list

procedures.”

                                               II.

       Rule 23(f) limits our review to the district court’s order granting or denying

class   Page: 10 of 34

Vega v. T-Mobile USA, Inc., 564 F.3d 1256, 1264 (11th Cir. 2009). “A district

court abuses its discretion if it applies an incorrect legal standard, follows improper

procedures in making the determination, or makes findings of fact that are clearly

erroneous.” Id. (quoting Klay v. Humana, Inc., 382 F.3d 1241, 1251 (11th Cir.

2004), abrogated in part on other grounds by Bridge v. Phoenix Bond & Indem.

Co., 553 U.S. 639 (2008)). And we review issues of fact for clear error and issues

of law de novo. Id.

         For a class to be certified, the named plaintiff must have standing and the

putative class must satisfy both the requirements of Federal Rule of Civil

Procedure 23(a) 2 and the requirements found in


under Rule 23(b)(3), which permits class

certification when “the court finds that the questions of law or fact common to

class members predominate over any questions affecting only individual members”

and “that a class action is superior to other available methods for fairly and

efficiently adjudicating the controversy.” Fed. R. Civ. P. 23(b)(3).

                                               A.

      We start with the question on which we granted review, whether the

members of the internal do-not-call list class who did not ask to be put on the

internal                          27
               Case: 18-12077       Date Filed: 11/15/2019       Page: 28 of 34

us that each plaintiff will likely have to provide some individualized proof that

they have standing -- i.e., each plaintiff will have to provide some evidence that he

or she called Telecel or otherwise communicated that they did not wish to be

called, and that their injury is therefore traceable to Telecel’s violation of the law.

When this standing question is added to the mix, individualized questions may

predominate over common issues


district court

would need enough information to evaluate preliminarily whether the proposed

model will be able to establish, without need for individual determinations for the

many millions of potential class members, which consumers were impacted . . .

and which were not.”); Oshana v. Coca-Cola Co., 472 F.3d 506, 514 (7th Cir.

2006) (affirming the denial of class certification when “[c]ountless members of

[the] putative class could not show any damage” resulting from the defendant’s

actions). Indeed, if a class is “overbroad” in this way, there is a “compelling

reason” to redefine it more narrowly. Kohen, 571 F.3d at 678. Given the “in

terrorem character of a class action,” id., a class defined so as to improperly

                                          30
             Case: 18-12077      Date Filed: 11/15/2019    Page: 31 of 34

include uninjured class members increases the potential liability for the defendant

and induces more pressure to settle the case, regardless of the merits.

      Here, it seems likely that the class definition is overbroad, and the district

court’s order did not consider this in any way. It only analyzed injury in fact under

Spokeo; it did not address at all the “fairly traceable” requirement of Article III

standing, other than having made two fleeting references. When it


class under Rule 23(b)(3), we vacate the

certification of the internal do-not-call list class and remand for further

consideration. We hold today only (1) that calls placed in violation of the

Telephone Consumer Protection Act are injuries in fact under the framework

                                           31
              Case: 18-12077     Date Filed: 11/15/2019   Page: 32 of 34

explicated by the Supreme Court in Lujan and Spokeo and our own case law, but

(2) that recipients of suchof Lujan and decide to deal with the

problem later on in the proceeding, but before it awarded any relief. But there is a

meaningful difference between a class with a few members who might not have

suffered an injury traceable to the defendants and a class with potentially many

more, even a majority, who do not have Article III standing.

      The record does not reveal much about the makeup of the internal do-not-

call list class. It does not give us any indication of how many members of the class

would have been on the internal do-not-call list if it had existed, and thus it does

not tell us how many members of the putative class have standing to sue. It is

possible that the certified class “contains a great


), 50 ( L ), 30 ( XXX ) and 2 ( II ), to make MDLXXXII .

Years written in Roman numerals can be quite long and scary – but breaking them down we see that they're actually quite simple. Let's look at a few examples.

Years in the 21st century are nice 'n easy. First, we start off with MM (1000 + 1000) and then we add on whatever we need. If we wanted to write 2020 in numerals we start with MM and add XX (20) to make MMXX .

Years from the 20th century are also quite simple. We start off with MCM (1900) and then similarly add on whatever we need. For example, 1965 would be written as MCM (1900) + LXXX (80) + V (5),numeral for zero, it makes doing any advanced mathematics a tad bit difficult – but addition and subtraction are well within the realms of possibilities.

Addition

When adding with numerals, the number one tip is to ignore the subtractive principle – i.e. instead of writing four as IV write it out as IIII .

Let's take a simple example. To add IX (9) and XI (11) together, we:

Convert IX to VIIII Arrange numerals from largest to smallest, giving us XVIIIII Simplify the IIIII to V , giving us XVV Simplify VV to X , giving us XX

Subtraction

When subtracting numerals, we also ignore the subtractive principle. Let's take the almost scary problem of CCLXXXVIII (288) – CCLXXI (271):

First cross out all of the pairs of numerals (as seen below) Re-arrange the numerals


tetrafluoride compounds are efficient light up-conversion phosphors. They have been studied for their ability to act as luminescence host matrices (Haase & Schafer, 2011[@bb12]), a function based on efficient luminescent sites, which are generally triggered by locally asymmetric environments. The average (Bragg) crystal structure determined by X-ray diffraction (Burns, 1965[@bb8]) showed high symmetry and revealed no obvious link to the material properties. However, spectroscopic investigations indicated that the average structure displays an idealized high symmetry for the La atoms located at the suspect center positions (Aebischer *et al.*, 2006[@bb2]; Tu *et al.*, 2013[@bb27]). Subsequent investigation of the local structure arrangement through analysis of the associated diffuse diffraction data supported the spectroscopic findings. This shows that complementary information provided by mDS is needed to allow insight on the truethe flux is only that part of the incident beam that can contribute to the scattering around . This is especially important for polychromatic beams.

While counting all neutrons that scatter in a certain region of the reciprocal space is straightforward, the calculation of the flux that contributes to that particular scattering is not so obvious. However, as will be shown, this quantity can easily be measured. Equation (2)[](#fd2){ref-type="disp-formula"} is applied to an incoherent scatterer, such as niobium doped vanadium. The differential scattering cross section for this material is constant, since the scattering is isotropic:where is the total incoherent scattering cross section. If the measurement for the vanadium sample occurs in the same conditions (sample orientation and incident flux) as that for the sample of interest, then where are


didn’t just totally muddy the waters even more. Apologies for the sudden WoS downtime last week. We were both laid up sick (I had food poisoning, she had some weird manbirdpig flu or something.)

And finally a personal note: Axiom is Recruiting! I know there are a lot of guilds out there looking to add members for Ulduar, but if you’re Horde, in a US CST-friendly timezone, and shopping for a guild, you should definitely check us out. (And while you’re at it, check out the guildie blogs listed to the right in our blog roll, just so you know what you’re getting into.) Current needs are 1 druid of each type (trees, bears, and boomchicken, oh my!), a holy pally, a holy priest (*nudge nudge*), and 3 ranged

        Especial
        <input id="especial" name="especial" type="text"/>

        Ticket
        <input id="ticket" name="ticket" type="text"/>

Thanks in advance!!

A:

To get how many inputs are filled/checked:
var filled = $('#t_disp input').filter(function() {
  return $(this).is('[type=checkbox]') ? this.checked : this.value;
}).length;

if ( filled ) {
   // at least one input is filled
} else {
   // all inputs are empty
}


at failed (n = 14) and successful (n = 9) nests \[[@pone.0191233.ref003], [@pone.0191233.ref021]\]. Grouse nests are composed of dead grasses and forbs, dead leaves, and lined with vegetation and feathers; however, the role of these materials in mediating nest microclimate is unknown \[[@pone.0191233.ref044]\]. Because Sharp-tailed Grouse select nest sites in patches of grassland dominated by dead plant material \[[@pone.0191233.ref054]\], we assume the thermal environment of the nest site during the post-hatching period of our thermal measurements is not affect by progression of leaf out.

We recorded the vegetation parameters shrub, grass, forb, bare ground, and litter coverage in 10% classes on a 0.5 m^2^ quadrat centered over the iButtons both at the nest bowl and at the 3 associated random sites. We measured vegetation height (dead and live) andWe expected vegetation composition could be a key component in macrohabitat selection \[[@pone.0191233.ref062], [@pone.0191233.ref063]\], but vegetation structure may become too dense for nesting habitat (as measured by VOR, litter depth and maximum vegetation height; \[[@pone.0191233.ref064]\]). We used quadratic polynomial terms for vegetation structure variables because of the possiblility of avoidance of extreme vegetation densities as suggested by Buhnerkempe, Edwards \[[@pone.0191233.ref065]\]. Models were ranked on Akaike's information criterion corrected for small sample size (AIC~*c*~). For each model *i*, we calculated the difference between the AIC~*c*~ of model *i* and the AIC~*c*~ of the best model (ΔAIC~*c*~) and Akaike weight (ω~*i*~). Models with ΔAIC~*c*~ \< 2 were considered to have substantial empirical support \[[@pone.0191233.ref066]\]. When we hypothesized a non-linear relationship, we performed a preliminary comparison of a linear model and


change, we used simple linear model outputs instead of adding predicted increases onto observed T~iB~ \[[@pone.0191233.ref003]\]. Projected T~air~ used to model future T~iB~ were obtained by averaging global climate models for low and high carbon dioxide emission scenarios predicted for our study area at the end of century (2080) ([www.climatewizard.org](http://www.climatewizard.org/); \[[@pone.0191233.ref003], [@pone.0191233.ref027], [@pone.0191233.ref036]\]). Average T~air~ at our study area are predicited to increase by 2.8°C and 4.5°C for low and high end of the century emission scenarios, respectively. We compared our predictions of T~iB~ at nests and landscape sites to determine whether 2080 temperatures differed across the same ranges of observed T~iB~ \[[@pone.0191233.ref003]\], thus providing comparison of relative thermal conditions between observed and future conditions. Unless otherwise noted, means are reported ± 1 SE and significance is setcurrent = current + sign * 4 / d
        i = i +1
    return current

output In [2]: pi(0.01)
Out[2]: 3.146567747182955

But instead I need to get this value
>>> approxPi(0.01)
3.1611986129870506
>>> approxPi(0.0000001)
3.1415928535897395

A:

The approximation you're using is very poor at converging, that is you have to loop quite a lot of times to get a reasonable value. You see that the difference will be 1/d and that's the accuracy. You'll have to loop 5000 times to get four digits 50k times to get next and 500k to get next and so on (that is exponential time complexity for the digits).
This could be one of the reasons that you see a discrepancy here, that you simply get the situation where rounding errors add


(Resolved Tile Color Buffer) (R)

  Tile_Coordinates 3, 2 ; Tile Coordinates (R) (Tile Column, Tile Row)
  Branch_To_Sub_List BIN_ADDRESS + ((2 * 10 + 3) * 32); Branch To Sub List (32-Bit Absolute Branch Address, Maximum Of 2 Levels Of Nesting)
  Store_Multi_Sample ; Store Multi-Sample (Resolved Tile Color Buffer) (R)

  Tile_Coordinates 4, 2 ; Tile Coordinates (R) (Tile Column, Tile Row)
  Branch_To_Sub_List BIN_ADDRESS + ((2 * 10 + 4) * 32); Branch To Sub List (32-Bit Absolute Branch Address, Maximum Of 2 Levels Of Nesting)
  Store_Multi_Sample ; Store Multi-Sample (Resolved Tile Color Buffer) (R)

  Tile_Coordinates 5, 2 ; Tile Coordinates (R) (Tile Column, Tile Row)
  Branch_To_Sub_List BIN_ADDRESS + ((2 * 10 + 5) * 32); Branch To Sub List (32-Bit AbsoluteOf 2 Levels Of Nesting)
  Store_Multi_Sample ; Store Multi-Sample (Resolved Tile Color Buffer) (R)

  Tile_Coordinates 4, 3 ; Tile Coordinates (R) (Tile Column, Tile Row)
  Branch_To_Sub_List BIN_ADDRESS + ((3 * 10 + 4) * 32); Branch To Sub List (32-Bit Absolute Branch Address, Maximum Of 2 Levels Of Nesting)
  Store_Multi_Sample ; Store Multi-Sample (Resolved Tile Color Buffer) (R)

  Tile_Coordinates 5, 3 ; Tile Coordinates (R) (Tile Column, Tile Row)
  Branch_To_Sub_List BIN_ADDRESS + ((3 * 10 + 5) * 32); Branch To Sub List (32-Bit Absolute Branch Address, Maximum Of 2 Levels Of Nesting)
  Store_Multi_Sample ; Store Multi-Sample (Resolved Tile Color Buffer) (R)

  Tile_Coordinates 6, 3 ; Tile Coordinates (R) (Tile Column, Tile Row)
  Branch_To_Sub_List BIN_ADDRESS + ((3 * 10


6, 6 ; Tile Coordinates (R) (Tile Column, Tile Row)
  Branch_To_Sub_List BIN_ADDRESS + ((6 * 10 + 6) * 32); Branch To Sub List (32-Bit Absolute Branch Address, Maximum Of 2 Levels Of Nesting)
  Store_Multi_Sample ; Store Multi-Sample (Resolved Tile Color Buffer) (R)

  Tile_Coordinates 7, 6 ; Tile Coordinates (R) (Tile Column, Tile Row)
  Branch_To_Sub_List BIN_ADDRESS + ((6 * 10 + 7) * 32); Branch To Sub List (32-Bit Absolute Branch Address, Maximum Of 2 Levels Of Nesting)
  Store_Multi_Sample ; Store Multi-Sample (Resolved Tile Color Buffer) (R)

  Tile_Coordinates 8, 6 ; Tile Coordinates (R) (Tile Column, Tile Row)
  Branch_To_Sub_List BIN_ADDRESS + ((6 * 10 + 8) * 32); Branch To Sub List (32-Bit Absolute Branch Address, Maximum Of 2 Levels OfQ:

Is the 125 GeV Higgs boson some kind of a "almost-commutative graviton" at the electroweak scale?

The clumsy "almost-commutative graviton" is provocative. I use it on purpose, to ask two questions in one :

Is the observation of only one Higgs and no supersymmetric particle below 8 TeV (up to now) a sufficient evidence to substantiate the almost commutative spectral model?
Can physicists consider now this kind of models pioneered by Connes and Chamseddine to be an effective (physical) and not only formal tentative unification of gravitation and Yang-Mill-Higgs interactions?

Recent developments of the almost-commutative spectral model regarding the Higgs boson and its mass:

Grand Symmetry, Spectral Action, and the Higgs mass /Devastato, Lizzi and Martinetti 2013;
Asymptotic safety, hypergeometric functions, and the Higgs mass in spectral action models /Estrada and Marcolli


formal tentative unification of gravitation and Yang-Mill-Higgs interactions?
Again, no.  To make the 'almost commutative' model a real model of gravity (instead of an intriguing way of expressing a short distance classical action for an effective field theory of the non-gravitational degrees of freedom), one must explain how to carry out path integral computations over the space of Dirac operators.  This will entail explaining how to integrate over the gravitational degrees of freedom, and isn't likely to be much easier than any other approaches to quantum gravity.

why have Ferrari kept him?

While a cool image might be good for Ferrari's sponsors - among them the tobacco giant Philip Morris, which has made billions by leveraging the image of the quiet non-conformist - it does not win races.

There is no doubt that the team looked around elsewhere. They have, for some time, been seriously interested in both Red Bull drivers Daniel Ricciardo and Max Verstappen.

But there were problems with both for 2017.

For a start, they are under contract to their current team - Australian Ricciardo until the end of 2018 and Dutchman Verstappen for a year longer. So even if getting one of them was possible - and there does not seem a good reason for leaving an ascendant Red Bull for a struggling Ferrari right


now - it would be expensive.

Is Raikkonen the best of an available bunch? Max Verstappen, Sergio Perez, Valtteri Bottas, Carlos Sainz and Daniel Ricciardo are all under contract until at least next season

Ferrari were concerned, though, that signing either would destabilise the team dynamic, particularly with Vettel, who was beaten by Ricciardo when they were team-mates in 2014.

And destabilising the team is the last thing Ferrari needs as it becomes painfully clear that they are still as far away from winning championships as ever.

As the decision over what to do for next year approached, a number of other drivers were in the frame.

Sources close to the team say Force India's Sergio Perez was being pushed by fellow Mexican Carlos Slim, the billionaire who is on the board ofA histochemical and immunohistochemical study of digestive enzymes and hormones during the larval development of the sea bream, Sparus aurata L.
The distribution of different hydrolytic enzymes and the localization of the hormones which regulate glucose metabolism during development of the digestive tract of the sea bream, Sparus aurata L., were studied. The yolk sac contains trypsin, glucose-6-phosphatase, ATPases and acid and alkaline phosphatase activities. Positive insulin, glucagon and somatostatin cells were observed in the pancreas and in the lumen of the intestinal tract during endogenous feeding. From hatching until 3 days later, the digestive tract of sea bream larvae shows no enzymatic activities. During exogenous feeding, the activities of the phosphatases and trypsin generally increase, as do the amounts of the hydrolytic enzymes and trypsin, as well as


[Figure 2b](#f2-ijms-11-02097){ref-type="fig"} at the three terminal branches scale; **(c)** based on [Figure 2a](#f2-ijms-11-02097){ref-type="fig"} at the seven group scale; **(d)** based on [Figure 2b](#f2-ijms-11-02097){ref-type="fig"} at the five group scale.](ijms-11-02097f3){#f3-ijms-11-02097}
              valu.Items.Add(ROW["valu"].ToString());
            }

            SqlDataAdapter SDA3 = new SqlDataAdapter("select distinct fs from vidros", con);
            DataTable DTT3 = new DataTable();
            SDA3.Fill(DTT3);
            fsolar.Items.Clear();
            foreach (DataRow ROW in DTT3.Rows)
            {


cmd;

            if (combo1value != "")
            {
                queryWhere += " and desempenho = @emp ";
                sda.SelectCommand.Parameters.Add("@emp", SqlDbType.NVarChar).Value = combo1value;
            }
            if (combo2value != "")
            {
                queryWhere += " andCOMPACT DISC
Not applicable.
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates to an adhesive hemostatic agent free of blood constituents, which is useful in surgical operations, and a method for the production thereof.
Porcine collagen is used as an active ingredient of the adhesive hemostatic agent. In order to be used, porcine collagen is rendered non-immunogenic by removing telopeptides therefrom. The resulting atelocollagen is esterified to give positive charges thereon, which enable the collagen to bind faster to negatively charged platelets, thus eliciting haemostasis quickly. In addition, 3,4-dihydroxy-phenyl alanine (hereinafter referred to as “DOPA”), highly adhesive to plasma proteins, when in a salt solution, can ensure high adhesive strength and blood coagulation activity for the collagen-based adhesive hemostatic agent. Further, an antifibrinolytic may be added in a


tissue sealing, and a method for the preparation thereof.
It is another object of the present invention to provide an adhesive hemostatic agent based on non-blood constituents including DOPA, able to strongly adhere to collagen fibers, and which comprises an antifibrinolytic agent in addition to an esterified atelocollagen which is non-immunogenic and may become positively charged thereon such that the adhesive hemostatic agent has no possibility of mediating particular diseases or viral infections (HIV, HCV, HBV, CMV, etc), unlike conventional agents comprising blood constituents, and readily binds to negatively charged platelets at high adhesive strength, thus inducing quick blood coagulation.
The above objects could be accomplished by a provision of an adhesive hemostatic agent based on non-blood constituents, which comprises porcine esterified atelocollagen, which is free of TSE's (Transmissible Spongiformform apparent blood clots.
Experimental Condition D
1. 0.5 mL of blood was placed on each Petri-dish. 2. A mixture of 0.25 mL of the solution of Example 1 and 0.25 mL of 1 wt % calcium chloride solution containing 0.71 wt % of DOPA was added to the Petri-dish of 1. 3. A mixture of 0.25 mL of the solution of Example 1 and 0.25 mL of 1.5 wt % calcium chloride solution containing 0.67 wt % of DOPA was added to the Petri-dish of 1. 4. A mixture of 0.25 mL of the solution of Example 1 and 0.25 mL of distilled water containing 0.56 wt % of DOPA was added to the Petri-dish of 1. 5. Reactions in the Petri-dishes were observed.
A longer time for blood coagulation


comparing the impact of different regulatory elements and transgene designs within a single transgene candidate, because such comparisons are complicated by random integration into the genome. As a result, conventional plant trait engineering is a laborious and cost intensive process with a low probability of success.
Precision gene modification overcomes the logistical challenges of conventional practices in plant systems, and as such has been a longstanding but elusive goal in both basic plant biology research and agricultural biotechnology. However, with the exception of “gene targeting” via positive-negative drug selection in rice or the use of pre-engineered restriction sites, targeted genome modification in all plant species, both model and crop, has until recently proven very difficult. Terada et al. (2002) Nat Biotechnol 20(10):1030; Terada et al. (2007) Plant Physiol 144(2):846;marathons in five states over five days. It began Wednesday in Portland, Maine, continued Tuesday in Nashua, N.H., and made its way to Warwick on Wednesday. The fourth leg is slated for Thursday in Hartford, Conn., with the final event going off Friday in Springfield, Mass. To do the Rhode Island marathon, they needed to lap the park nine times.

Thirteen people are doing all five, while 65 people are doing at least one. Many are on a quest to join the 50 States Club, whose members have run marathons in all 50 states, while others are part of the Marathon Maniacs, who travel the country putting marathon streaks together.

The Warwick field included a 71-year-old man who has completed more than 1,000 marathons, an Australian man attempting to set


Q:

Micro optimization, is it optimized anyway by modern browsers?

I inherited a library recently, there is an update method which exists on a class. Here is an example.
onPointerMove(pointer, x, y, isPressed){
    var floor = Math.floor;
    var cx = this.currentX;
    var cy = this.currentY;
    var tm = this.toolManager;
}

This kind of code mostly only exists on performance critical stuff. Most of the rest of the project is not written this way.

Floor is used twice. Surely caching it in a local variable simply forces some "temporary" memory allocation every time it is run? How is that faster than simply looking up a function?
This.currentX is referenced many times during the body of the function but is caching it<ls_when>-row = <ls_token>-row.
          ENDIF.

          IF <ls_when>-code IS INITIAL.
            <ls_when>-code = <ls_token>-str.
          ELSE.
            CONCATENATE <ls_when>-code <ls_token>-str
              INTO <ls_when>-code SEPARATED BY space.
          ENDIF.

        ENDLOOP.

      ENDLOOP.

    ENDLOOP.

    DELETE lt_when WHERE code IS INITIAL.
    SORT lt_when BY back ASCENDING code