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In this paper, we study power series having a fixed point of multiplier 1. First, we give a closed formula for the residue fixed point index, in terms of the first coefficients of the power series. Then, we use this formula to study wildly ramified power series in positive characteristic. Among power series having a multiple fixed point of small multiplicity, we characterize those having the smallest possible lower ramification numbers in terms of the residue fixed point index. Furthermore, we show that these power series form a generic set, and, in the case of convergent power series, we also give an optimal lower bound for the distance to other periodic points.
These are freaking adorable! I hung pictures from them These are freaking adorable! I hung pictures from them. I had these rated a 5 star when i first got them up until I’ve had them for two days and the lights went out. Changed the batteries & still won’t work. All the clips worked fine & it was cute. But the whole point was to have a suttle light & they stopped working. Return started.
Causal inference analyses often use existing observational data, which in many cases has some clustering of individuals. In this paper we discuss propensity score weighting methods in a multilevel setting where within clusters individuals share unmeasured confounders that are related to treatment assignment and the potential outcomes. We focus in particular on settings where models with fixed cluster effects are either not feasible or not useful due to the presence of a large number of small clusters. We found, both through numerical experiments and theoretical derivations, that a strategy of grouping clusters with similar treatment prevalence and estimating propensity scores within such cluster groups is effective in reducing bias from unmeasured cluster-level covariates under mild conditions on the outcome model. We apply our proposed method in evaluating the effectiveness of center-based pre-school program participation on children's achievement at kindergarten, using the Early Childhood Longitudinal Study, Kindergarten data.
We present an analysis of the chemical abundances of the star Tycho G in the direction of the remnant of supernova (SN) 1572, based on Keck high-resolution optical spectra. The stellar parameters of this star are found to be those of a G-type subgiant with $T_{\mathrm{eff}} = 5900 \pm 100$ K, \loggl $ = 3.85 \pm 0.30$ dex, and $\mathrm{[Fe/H]} = -0.05 \pm 0.09$. This determination agrees with the stellar parameters derived for the star in a previous survey for the possible companion star of SN 1572 (Ruiz-Lapuente et al. 2004). The chemical abundances follow the Galactic trends, except for Ni, which is overabundant relative to Fe, $[{\rm Ni/Fe}] $ $=$ 0.16 $\pm$ 0.04. Co is slightly overabundant (at a low significance level). These enhancements in Fe-peak elements could have originated from pollution by the supernova ejecta. We find a surprisingly high Li abundance for a star that has evolved away from the main sequence. We discuss these findings in the context of companion stars of supernovae.
It is known that the Sobolev space $L^2_s$ with $s>n/2$ appeared in the H\"ormander multiplier theorem can be replaced by the Besov space $B^{2,1}_{n/2}$. On the other hand, the Besov space $B_{n/2}^{2,1}$ is continuously embedded in the modulation space $M^{2,1}_0$. In this paper, we consider the problem whether we can replace $B_{n/2}^{2,1}$ by $M^{2,1}_0$.
The Time-Domain Extragalactic Survey (TiDES) is focused on the spectroscopic follow-up of extragalactic optical transients and variable sources selected from forthcoming large sky surveys such as that from the Large Synoptic Survey Telescope (LSST). TiDES contains three sub-surveys: (i) spectroscopic observations of supernova-like transients; (ii) comprehensive follow-up of transient host galaxies to obtain redshift measurements for cosmological applications; and (iii) repeat spectroscopic observations to enable the reverberation mapping of active galactic nuclei. Our simulations predict we will be able to classify transients down to $r = 22.5$ magnitudes (AB) and, over five years of 4MOST operations, obtain spectra for up to 30,000 live transients to redshift $z \sim 0.5$, measure redshifts for up to 50,000 transient host galaxies to $z \sim 1$ and monitor around 700 active galactic nuclei to $z \sim 2.5$.
yeah yeah absolutely yeah we uh we stocked up the first time around but we've definitely got all the formulas on file and uh we're they'll be there for a while we're we're pretty comfortable with that but yeah it it i'm i'm real nervous every time i i open a new can i'm wondering if i shouldn't buy about twenty gallons at one time and keep it all in a in a wash tub or something somewhere because i'm always i'm always afraid that the next coat is not going to match
A recurrent Neural Network (RNN) is trained to predict sound samples based on audio input augmented by control parameter information for pitch, volume, and instrument identification. During the generative phase following training, audio input is taken from the output of the previous time step, and the parameters are externally controlled allowing the network to be played as a musical instrument. Building on an architecture developed in previous work, we focus on the learning and synthesis of transients - the temporal response of the network during the short time (tens of milliseconds) following the onset and offset of a control signal. We find that the network learns the particular transient characteristics of two different synthetic instruments, and furthermore shows some ability to interpolate between the characteristics of the instruments used in training in response to novel parameter settings. We also study the behaviour of the units in hidden layers of the RNN using various visualisation techniques and find a variety of volume-specific response characteristics.
Blazars, radio-loud active galactic nuclei with the relativistic jet closely aligned with the line of sight, dominate the extragalactic sky observed at gamma-ray energies, above 100 MeV. We discuss some of the emission properties of these sources, focusing in particular on the "blazar sequence" and the interpretative models of the high-energy emission of BL Lac objects.
Okay okay, I must admit, I do somewhat like Peter Liapis and I'll admit this is not the best Ghoulies sequel. I mean, yeah, it had its flaws, such as NO GHOULIES themselves. But the two Ghoulies that come to earth were really funny, I guess they were called, Dark and Lite. I enjoyed the plot of the movie. And even at the end of the movie both Ghoulies implied that there would be a sequel. Still waiting. lol. Peter Liapis reprised his role as Jonathan Graves, this time playing a detective, how cute! Ghoulies IV may not be scary or suspenseful, but it is definitely funny. I thought I would comment on this movie and just say -- it's not that bad. It is worth watching even though the Ghoulies aren't in it.
The high resolution image of the jet of the BL Lac object MKN501 in radio, show a limb-brightened feature. An explanation of this feature as an outcome of differential Doppler boosting of jet spine and jet boundary due to transverse velocity structure of the jet requires large viewing angle. However this inference contradicts with the constraints derived from the high energy $\gamma$-ray studies unless the jets bends over a large angle immediately after the $\gamma$-ray zone (close to the central engine). In this letter we propose an alternate explanation to the limb-brightened feature of MKN501 by considering the diffusion of electrons accelerated at the boundary shear layer into the jet medium and this consideration does not require large viewing angle. Also the observed difference in the spectral index at the jet boundary and jet spine can be understood within the frame work of shear acceleration.
In this partly expository paper, we study the set A of groups of orientation-preserving homeomorphisms of the circle S^1 which do not admit non-abelian free subgroups. We use classical results about homeomorphisms of the circle and elementary dynamical methods to derive various new and old results about the groups in A. Of the known results, we include some results from a family of results of Beklaryan and Malyutin, and we also give a new proof of a theorem of Margulis. Our primary new results include a detailed classification of the solvable subgroups of R. Thompson's group T .
Given an oriented graph G, the modular flow polynomial counts the number of nowhere-zero Z_k-flows of G. We give a description of the modular flow polynomial in terms of (open) Ehrhart polynomials of lattice polytopes. Using Ehrhart-Macdonald reciprocity we give a combinatorial interpretation for the values of the modular flow polynomial at negative arguments which answers a question of Beck and Zaslavsky (2006). Our construction extends to Z_l-tensions and we recover Stanley's reciprocity theorem for the chromatic polynomial. Combining the combinatorial reciprocity statements for flows and tensions, we give an enumerative interpretation for positive evaluations of the Tutte polynomial of G.
It is an extremely difficult film to watch, particularly as it targets the innermost core of all of our lives. But ultimately it is a very beautiful and deeply moving film. Any person who finds it cynical I have to say that they must have greatly missed the point of the film's entire message. For those who actually watch the film, they will see that the way the issues are dealt with is absolutely necessary, and the outcome is ultimately uplifting. Sure, it's very hard to watch, a difficult subject matter and even brutal. Yet it's extremely relevant to society and everybody. It shows the peak of what world cinema is doing at the moment (I will not restrict that term to just France) and everyone should try to see it. I will say that it is best to go in with a clear head without being swayed by conflicting views, and just let the film work for you.
huh. Lets see. She EARNED a DOCTORIAL DEGREE. As such, it is PROPER TO CALL HER DOCTOR. Any top GOP that have actually EARNED PhDs are ALSO called DOCTORS. It has absolutely NOTHING to do with theirs OR YOURs political view. It simply has to do with if a person EARNED that degree. I hope that helps you with your education.
Suppose $\Gamma$ is a Carleson Jordan curve with logarithmic whirl points, $\varrho$ is a Khvedelidze weight, $p:\Gamma\to(1,\infty)$ is a continuous function satisfying $|p(\tau)-p(t)|\le -\mathrm{const}/\log|\tau-t|$ for $|\tau-t|\le 1/2$, and $L^{p(\cdot)}(\Gamma,\varrho)$ is a weighted generalized Lebesgue space with variable exponent. We prove that all semi-Fredholm operators in the algebra of singular integral operators with $N\times N$ matrix piecewise continuous coefficients are Fredholm on $L_N^{p(\cdot)}(\Gamma,\varrho)$.
We consider the tail behavior of random variables $R$ which are solutions of the distributional equation $R\stackrel{d}{=}Q+MR$, where $(Q,M)$ is independent of $R$ and $|M|\le 1$. Goldie and Gr\"{u}bel showed that the tails of $R$ are no heavier than exponential and that if $Q$ is bounded and $M$ resembles near 1 the uniform distribution, then the tails of $R$ are Poissonian. In this paper, we further investigate the connection between the tails of $R$ and the behavior of $M$ near 1. We focus on the special case when $Q$ is constant and $M$ is nonnegative.
A public interest litigation has been filed in Supreme Court on Thursday seeking declaration of financial emergency in light of nationwide lockdown amidst rising cases of COVID-19. The PIL by Centre for Accountability and Systemic Change (CASC) filed against Ministry of Home Affairs and seeks the imposition of financial emergency under Article 360 of the Constitution of India as it submits that unified commands by the Centre and state can address this issue more efficiently. The petitioner claim that difference in the order imposed by various states and the centre is creating confusion and state of lawlessness in an already difficult situation. As per the petitioner after the 21 days lockdown was announced by Prime Minister Narendra Modi on 24 March different states and police authorities took independent action under the Section 144 of the Code of Criminal Procedure in the guise of orders issued by the central government which "amounts to constitutional fraud". "This use of emergencyprovisions of Constitution is required not only to defeat the war against coronavirus but also in recovery of the Indian economy after lockdown is over," said the petition states. CASC has also sought directions from the apex court for government to provide necessary directions for suspension of collection of utility bills (electricity, water, gas, telephone, internet) and EMI payments liable to be paid during lockdown. Directions have also bee sought for the state police and local authorities to strictly comply with home ministry instructions so that essential services are not disrupted. The petition filed through advocate Virag Gupta has made a request for urgent hearing through video-conferencing by the top court.
I wrote an OpEd, published in the RG, proposing that alternatives do exist. Building the hospital was a mistake. It was not necessary and, indeed, the money could have supported community-level facilities and services. Democratic leaders in Salem propose compounding that mistake by continuing to operate the facility at $500K/patient. Pardon a bit of tastelessness, but that is insane. I proposed the current patients could be transferred to open beds at the Salem Psychiatric Hospital (they're available), and the JC facility could be used for the proposed expansion of female prison capacity. House Democrats, including Rep. Fehey from our District, had no criticism of the suggestion........they simply ignored it. The hospital will remain open, that $50 million will continue to be spent, community-based mental health care will continue to be underfunded, and our legislators will continue to ignore public input. IMO, that's rather sad at all levels. Gary Crum
A basic assumption behind the inequalities used for testing noncontextual hidden variable models is that the observables measured on the same individual system are perfectly compatible. However, compatibility is not perfect in actual experiments using sequential measurements. We discuss the resulting "compatibility loophole" and present several methods to rule out certain hidden variable models which obey a kind of extended noncontextuality. Finally, we present a detailed analysis of experimental imperfections in a recent trapped ion experiment and apply our analysis to that case.
Highly accurate measurements of the $g$-factor of boronlike Ar are currently implemented within the ARTEMIS experiment at GSI (Darmstadt, Germany) and within the ALPHATRAP experiment at the MPIK (Heidelberg, Germany). A comparison with the corresponding theoretical predictions will allow one to test the modern methods of bound-state QED. However, at least three different theoretical values of the \emph{g}-factor have been published up to date. The systematic study of the \emph{g} factor value of Ar$^{13+}$ in the ground $[(1s)^2(2s)^2 2p]^2P_{1/2}$ and the first excited $[(1s)^2(2s)^2 2p]^2P_{3/2}$ states is performed within the high order coupled cluster and configuration interaction theories up to the full configuration interaction treatment. Correlation contributions are discussed and results are compared with previous studies.
Many of the existing stochastic models of gene expression contain the first-order decay reaction term that may describe active protein degradation or dilution. If the model variable is interpreted as the molecule number, and not concentration, the decay term may also approximate the loss of protein molecules due to cell division as a continuous degradation process. The seminal model of that kind leads to gamma distributions of protein levels, whose parameters are defined by the mean frequency of protein bursts and mean burst size. However, such models (whether interpreted in terms of molecule numbers or concentrations) do not correctly account for the noise due to protein partitioning between daughter cells. We present an exactly solvable stochastic model of gene expression in cells dividing at random times, where we assume description in terms of molecule numbers with a constant mean protein burst size. The model is based on a population balance equation supplemented with protein production in random bursts. If protein molecules are partitioned equally between daughter cells, we obtain at steady state the analytical expressions for probability distributions similar in shape to gamma distribution, yet with quite different values of mean burst size and mean burst frequency than would result from fitting of the classical continuous-decay model to these distributions. For random partitioning of protein molecules between daughter cells, we obtain the moment equations for the protein number distribution and thus the analytical formulas for the squared coefficient of variation.
"allowing individual condo owners the opportunity to tap into the line to install sprinklers at their own expense." Individual owners installing, potentially incompatible equipment, doesn't sound like the simplest answer. The Association should qualify/install the entire system and levy a special assessment that can be paid monthly to ease the burden.
Microbes can form complex communities that perform critical functions in maintaining the integrity of their environment or their hosts well-being. Rationally managing these microbial communities requires improving our ability to predict how different species assemblages affect the final species composition of the community. However, making such a prediction remains challenging because of our limited knowledge of the diverse physical, biochemical, and ecological processes governing microbial dynamics. To overcome this challenge, here we present a deep learning framework that automatically learns the map between species assemblages and community compositions from training data only, without knowledge of any of the above processes. First, we systematically validate our framework using synthetic data generated by classical population dynamics models. Then, we apply it to experimental data of both in vitro and in vivo communities, including ocean and soil microbial communities, Drosophila melanogaster gut microbiota, and human gut and oral microbiota. In particular, we show how our framework learns to perform accurate out-of-sample predictions of complex community compositions from a small number of training samples. Our results demonstrate how deep learning can enable us to understand better and potentially manage complex microbial communities.
Short I have gotten this type of toy for many animals this is one of the better made ones. But, after we got it and my daughter placed it in the hamsters cage I noticed it is NOT nearly 18 long and therefore doesn't serve the purpose we purchased it for. It is already used and is perfectly good quality so we are using it. But, will be buying another for that original purpose. So in the end Hamster wins.
Prepare to meet your Messiah - they call him Masten Thrust. Male role models have become increasingly difficult to find in today's overexposed society. Every other day an apparent role model is forced to tearfully apologize for a youthful indiscretion or he innocently gets a few youngsters drunk on his ranch. The Last Dinosaur is the story of the last great hunt of Masten Thrust, an old, grizzled, big game hunter who serves as role model supreme. Despite his haggard features and bulbous nose, the females, including Joan Van Ark, are attracted to him like Meatloaf is to cheesy lyrics. Thrust is openly sexist and makes no apologies for his elaborate lifestyle, which includes a red kerchief and a private jet with a working fireplace.<br /><br />Thrust embarks on a mission to find and hunt the last dinosaur on earth when ironically, after a rich full life, he is truly the last dinosaur. Despite his propensity for yelling at everyone in his presence, his employees and lady friends are unwaveringly loyal to him. He may act as though he's perpetually drunk, but make no mistake, if he calls you a 'Ding Dong' you are a 'Ding Dong'.<br /><br />Not to be denied his own ballad, Thrust's song shamelessly praises him and his manliness. A sampling of lyrics includes: "Few men have ever done, what he has done, or even dreamed, what he has dreamed/Few men have even tried, what he has tried, most men have failed, where he's prevailed/The world holds nothing new in store for him, and things that startle you and me, are just a bore to him/Few men have ever lived, as he has lived, or even walked, where he has walked'. Even BMTG banned artist Clay Aiken could belt out those lyrics and become an rump-kicking machine.<br /><br />Thrust and his crew of scientists strap themselves into the 'Polar Borer' wearing mini bike helmets, though Thrust affords himself the luxury of the red kerchief around his neck. The giant human filled drill bit digs through the earth and ice to come popping out into a lagoon. Dinosaurs from the air and land soon descend upon the scientists forcing Thrust and crew to run for their lives. After narrowly escaping a charging dino, Masten lays back and blasts out a hearty laugh, not so much to celebrate life but to acknowledge 'the game is afoot'.<br /><br />Soon after, it is little surprise that we see a few slightly hunched over cavemen sneaking peeks at their visitors. Thrust, not content with simply killing a dinosaur, decides then to make it his mission to bag a cave broad. Throughout the movie, the lone T-Rex contradicts the belief that dinosaurs have a brain the size of a peanut. Despite its enormous size, the local T-Rex is able to sidle up next to its victims virtually unnoticed. With the element of surprise, T-Rex simply crushes a scientist or two and loots the campsite. Every so often the bloated and cagily faced Thrust is seen yelling at someone, shooting at something or flirting with a primitive J-Lo in manly fashion.<br /><br />Thrust is like James Tiberius Kirk, not only in his addiction to love, but also when is comes to making complicated weapons using limited natural resources in a short period of time. Thrust and the remaining crew members construct a highly accurate catapult that flings a large boulder into the skull of the cunning T-Rex. Upon realizing that even he, Masten Thrust, cannot top this addition to his trophy case, Thrust decides to stay in his prehistoric surroundings. The ever-dwindling crew then leaves Thrust to live out his days with his lovely, although a bit gamely, cavewoman and introduce her to his personal collection of STDs. This is only a brief synopsis of a movie so complicated and rich in BMTG tradition that it takes several viewings to absorb its message and realize that Masten Thrust is the answer. The press conference, complete with a yelling Thrust, mumbling reporters, and the introduction of the great Bunta, is a classic moment. Also look for a body, resembling a dead Ricky Schroeder, lying on some logs, and the most powerful use of someone being called a 'Ding-Dong' in cinematic history.
Contracting tensor networks is often computationally demanding. Well-designed contraction sequences can dramatically reduce the contraction cost. We explore the performance of simulated annealing and genetic algorithms, two common discrete optimization techniques, to this ordering problem. We benchmark their performance as well as that of the commonly-used greedy search on physically relevant tensor networks. Where computationally feasible, we also compare them with the optimal contraction sequence obtained by an exhaustive search. We find that the algorithms we consider consistently outperform a greedy search given equal computational resources, with an advantage that scales with tensor network size. We compare the obtained contraction sequences and identify signs of highly non-local optimization, with the more sophisticated algorithms sacrificing run-time early in the contraction for better overall performance.
product is good, poor customer service on company part Would have given 5 stars except contacted the company because missing one of the nut caps to attach to the wall. They said they don't supply parts and I'd have to go to local hardware store. Went to hardware store and found one in stainless, but not the white color that was missing. So, product is good, poor customer service on company part. (It was past the 30 day Amazon return policy, otherwise I would have just shipped it all back)
Learning useful representations with little or no supervision is a key challenge in artificial intelligence. We provide an in-depth review of recent advances in representation learning with a focus on autoencoder-based models. To organize these results we make use of meta-priors believed useful for downstream tasks, such as disentanglement and hierarchical organization of features. In particular, we uncover three main mechanisms to enforce such properties, namely (i) regularizing the (approximate or aggregate) posterior distribution, (ii) factorizing the encoding and decoding distribution, or (iii) introducing a structured prior distribution. While there are some promising results, implicit or explicit supervision remains a key enabler and all current methods use strong inductive biases and modeling assumptions. Finally, we provide an analysis of autoencoder-based representation learning through the lens of rate-distortion theory and identify a clear tradeoff between the amount of prior knowledge available about the downstream tasks, and how useful the representation is for this task.
Director Don Siegel really impressed me with this film. It is starkly shot, graphic without being visually graphic, well-acted by all concerned, and covers some of the most taboo issues of any day in a workmanlike, almost expected normalcy hitherto not seen in any other film by this reviewer. I didn't know what to expect sitting down to watch this: a civil war movie or some kind of 70's soft-core peddling with Eastwood descending on a school for girls in the South. But really is is neither of those things but rather and examination, exploration, and descent into the soul of men and women - a dark commentary on what is at the core of the civilized. as one reviewer previously noted, none - none - of the characters are likable by the film's end and yet each one is interesting, complex, and enigmatic. Eastwood plays Cpl. McBurney, a Union soldier found by young Pamelyn Ferdin(you'll recognize that voice as soon as you hear it), a girl at a school for manners headed by Geraldine Page amidst the chaos that was the Civil War - particularly in the South. Soon, Page, teacher Elizabeth Hartman, lovely, young seductress Carol, and even Ferdin(Amy)have emotional/sexual ties to Eastwood - each having their own needs and secrets and problems. Eastwood is not a nice man. he plays the girls off of each other always trying to get the sexual advantage. In the unfolding we get some real interesting things revealed from latent lesbianism to incest. The Beguiled, for me, is a masterpiece that far exceeded my expectations on every creative front. This might be(except for Invasion of the Body Snatchers) Siegel's best film. It certainly is one of Eastwood's best REAL performances. page is always so very good and Hartman, Fe5rdin, et al excellent. the Gothic manse set for the school is effectively claustrophobic. Some of the sexual-laced scenes disturbing. And what happens to Eastwood is a leg up on much of the competition for creepy, eerie, demented film.
Given a field $F$ of characteristic $3$ and division symbol $p$-algebras $[\alpha,\beta)_{3,F}$ and $[\alpha,\gamma)_{3,F}$ of degree $3$ over $F$, we prove that if $\alpha \text{dlog}(\beta)\wedge \text{dlog}(\gamma)$ is trivial in the Kato-Milne cohomology group $H_3^3(F)$ then the algebras share a common splitting field which is an inseparable degree 3 extension of either $F$ or a quadratic extension of $F$. In the special case of quadratically closed fields, if $\alpha \text{dlog}(\beta)\wedge \text{dlog}(\gamma)=0$, then they share an inseparable degree 3 extension of $F$.
[abridged] We present an X-ray study of the low-luminosity active galactic nucleus (AGN) in NGC4258 using data from Suzaku, XMM-Newton, and the Swift/BAT survey. We find that signatures of X-ray reprocessing by cold gas are very weak in the spectrum of this Seyfert-2 galaxy; a weak, narrow fluorescent-Kalpha emission line of cold iron is robustly detected in both the Suzaku and XMM-Newton spectra but at a level much below that of most other Seyfert-2 galaxies. We conclude that the circumnuclear environment of this AGN is very "clean" and lacks the Compton-thick obscuring torus of unified Seyfert schemes. From the narrowness of the iron line, together with evidence for line flux variability between the Suzaku and XMM-Newton observations, we constrain the line emitting region to be between $3\times 10^3r_g$ and $4\times 10^4r_g$ from the black hole. We show that the observed properties of the iron line can be explained if the line originates from the surface layers of a warped accretion disk. In particular, we present explicit calculations of the expected iron line from a disk warped by Lens-Thirring precession from a misaligned central black hole. Finally, the Suzaku data reveal clear evidence for large amplitude 2-10keV variability on timescales of 50ksec as well as smaller amplitude flares on timescales as short as 5-10ksec. If associated with accretion disk processes, such rapid variability requires an origin in the innermost regions of the disk ($r\approx 10r_g$ or less).
We study prismatics sets analogously to simplical sets except that realization involves prisms, i.e., products of simplices rather than just simplices. Particular examples are the prismatic subdivision of a simplicial set S and the prismatic star of S. Both have the same homotopy type as S and in particular the latter we use to study lattice gauge theory in the sense of Phillips and Stone. Thus for a Lie group G and a set of parallel transport functions defining the transition over faces of the simplices, we define a classifying map from the prismatic star to a prismatic version of the classifying space of G. In turn this defines a G-bundle over the prismatic star.
Since Hawaii has been exempt( from immigration) , due to location from the 6 countries listed in the ban, I think Trump should load a couple of 747s of them and dump them on the tarmac at HNL. I find it very hypocritical that Hawaii is the least affected by this, and wants to tell the other 49 states what to do. Get a taste of your medicine you are forcing on the rest of the country.
As expensive as it is to spend the night in a bed in the hospital you would think they could afford to buy american made hospital blankets...They may cost more but hey here's a novel concept ...pay more, and don't pass the cost on to the consumers. Just suck it up and make a little less profit.
On their current course, South Korea and Indonesia will be considered 1st world countries thanks to Capitalism, and Socialism is theft, no matter how you spin it or what modifier you put in front of it. . Job opportunities are not "dismal," and no one is forcing anyone to either go to college or take out loans to do so. I pay 0.00 to attend UAA if I graduate in the top 10% of my class, and I cover its cost in one summer of work.
02-Jan-2020 Intellasia | KoreaTimes | 6:02 AM The Bank of Korea (BOK) will continue an accommodative monetary policy in 2020, as external trade uncertainties will keep holding back a short-term economic rebound here, BOK Governor Lee Ju-yeol said in a New Year’s address, Tuesday. “Our monetary policy should be carried out in a way to support the economic recovery and stabilise prices,” he said. “We need to keep relaxing currency policies, as economic growth here in 2020 will likely fall below our expectation.” The outlook came in response to the prolonged economic slowdown. In October, Lee also expressed his pessimistic view for the economy to achieve its 2-percent growth target during a regular National Assembly audit. To revitalise the sagging economy, the BOK cut its key interest rate to an all-time low of 1.25 percent, October 16. The central bank also kept the rate unchanged during the final rate-setting meeting in November 2019. Lee said the central bank would decide on the level of monetary easing in accordance with how the external risk factors unfold. “To be specific, the prolonged trade feud between the US and China, even if they have recently made some progress, comes as a geopolitical risk for the local economy,” he said. “On the domestic front, we have to raise concerns over weakening growth engines here due to such factors as the low birthrate, aging society and social polarisation.” On top of that, the Korean economy cannot rely on export-driven growth amid the weakening of global value chain dynamics that resulted in the economic slowdown here and abroad, according to him. To tackle the pessimistic outlook for an economic rebound in 2020, the BOK stressed the need to enhance its capability for precise diagnosis and prediction of the economic trend. “The BOK should be capable of accurately analysing economic conditions by utilising latest technologies, such as artificial intelligence and big data,” he said. The governor went on to urge his staff to spare no efforts in embracing the era of digital currency. “The BOK should not remain negligent in research and development for innovative payment technologies,” he said. Toward the end, the chief of the central bank said it would continue to enhance research manpower on the central bank digital currency (CBDC). With the rise of cryptocurrency, the CBDC is the talk of global financial authorities and central banks. Some countries, such as China, are in an advanced level of talks before issuing government-controlled digital currencies. Yoon Suk-heun, governor of the Financial Supervisory Service, also reaffirmed the willingness to push for policies to eliminate potential risk factors which will get in the way of the economy recovery. “We need to strengthen our expertise in finding out financial risks beforehand and come up with countermeasures,” he said in a New Year’s address. Financial Services Commission Chair Eun Sung-soo also shared its 2020 goal of promoting small and medium-sized companies for the longer-term economic growth here. “A series of relaxing monetary policies here and abroad added more liquidity to the market, but the capital was used in an unproductive manner in areas, such as real estate, which did little good to economic efficiency here,” he said. “We are going to supply small venture firms, rather than households, with the capital.” https://www.koreatimes.co.kr/www/biz/2019/12/367_281170.html Category: Korea
The coupling between corrugated surfaces due to the lateral Casimir force is employed to propose a nanoscale mechanical device composed of two racks and a pinion. The noncontact nature of the interaction allows for the system to be made frustrated by choosing the two racks to move in the same direction and forcing the pinion to choose between two opposite directions. This leads to a rich and sensitive phase behavior, which makes the device potentially useful as a mechanical {\em sensor} or {\em amplifier}. The device could also be used to make a mechanical {\em clock} signal of tunable frequency.
For a pseudo-Anosov homeomorphism $f$ on a closed surface of genus $g\geq 2$, for which the entropy is on the order $\frac{1}{g}$ (the lowest possible order), Farb-Leininger-Margalit showed that the volume of the mapping torus is bounded, independent of $g$. We show that the analogous result fails for a surface of fixed genus $g$ with $n$ punctures, by constructing pseudo-Anosov homeomorphism with entropy of the minimal order $\frac{\log n}{n}$, and volume tending to infinity.
A common method for assessing validity of Bayesian sampling or approximate inference methods makes use of simulated data replicates for parameters drawn from the prior. Under continuity assumptions, quantiles of functions of the simulated parameter values within corresponding posterior distributions are uniformly distributed. Checking for uniformity when a posterior density is approximated numerically provides a diagnostic for algorithm validity. Furthermore, adjustments to achieve uniformity can improve the quality of approximate inference methods. A weakness of this general approach is that it seems difficult to extend beyond scalar functions of interest. The present article develops an alternative to quantile-based checking and adjustment methods which is inherently multivariate. The new approach is based on use of the tower property of conditional expectation and the law of total variance for relating prior and posterior expectations and covariances. For adjustment, approximate inferences are modified so that the correct prior to posterior relationships hold. We illustrate the method in three examples. The first uses an auxiliary model in a likelihood-free inference problem. The second considers corrections for variational Bayes approximations in a deep neural network generalized linear mixed model. Our final application considers a deep neural network surrogate for approximating Gaussian process regression predictive inference.
Saw this movie at the Rotterdam IFF. You may question some decisions of the maker - like choosing a mockumentary form for such a sensitive and horrible subject - but this movie sure hits you in the gut. Especially the last scenes were almost painful to watch. Hope it gets the distribution it deserves.
Love this thermal travel mug!! I LOVE dragonflies, and when I saw this travel mug, I knew that I had to get it! It's the perfect size, and easily fits in the cup-holder in the car. It keeps my coffee warm for about 2-3 hours which is great. It's not microwave safe, or dishwasher safe; but I'm fine with that. The colors are very vibrant, I get compliments on it every time I bring it to work with me. Another bonus is that it has a non-slip bottom, I'm prone to knocking over drinks on my desk, so the non-slip bottom helps to avoid that! Overall, I love this cup and will continue to use it as often as possible!
A measurement of production cross sections of the Higgs boson in proton-proton collisions is presented in the $H\rightarrow\tau\tau$ decay channel. The analysis is performed using $36.1\mathrm{fb}^{-1}$ of data recorded by the ATLAS experiment at the Large Hadron Collider at a center-of-mass energy of $\sqrt{s}=13$ TeV. All combinations of leptonic ($\tau \rightarrow l \nu \bar{\nu}$ with $l = e$, $\mu$) and hadronic ($\tau \to \mathrm{hadrons} \nu$) tau decays are considered. The $H\rightarrow\tau\tau$ signal over the expected background from other Standard Model processes is established with an observed (expected) significance of 4.4 (4.1) standard deviations. Combined with results obtained using data taken at 7 and 8 TeV center-of-mass energies, the observed (expected) significance amounts to 6.4 (5.4) standard deviations and constitutes an observation of $H\rightarrow\tau\tau$ decays. Using the data taken at $\sqrt{s}=13$ TeV, the total cross section in the $H\rightarrow\tau\tau$ decay channel is measured to be $3.77^{+0.60}_{-0.59}\mathrm{(stat.)}^{+0.87}_{-0.74}\mathrm{(syst.)}\mathrm{pb}$, for a Higgs boson of mass 125 GeV assuming the relative contributions of its production modes as predicted by the Standard Model. Total cross sections in the $H\rightarrow\tau\tau$ decay channel are determined separately for vector-boson-fusion production and gluon-gluon-fusion production to be $0.28 \pm 0.09\mathrm{(stat.)}^{+0.11}_{-0.09}\mathrm{(syst.)}\mathrm{pb}$ and $3.1 \pm 1.0\mathrm{(stat.)}^{+1.6}_{-1.3}\mathrm{(syst.)}\mathrm{pb}$, respectively. Similarly, results of a fit are reported in the framework of simplified template cross sections. All measurements are in agreement with Standard Model expectations.
The universality of the celebrated Kalman filtering can be found in control theory. The Kalman filter has found its striking applications in sophisticated autonomous systems and smart products, which are attributed to its realization in a single complex chip. In this paper, we revisit the Kalman filter from the perspective of conditional characteristic function evolution and Ito calculus and develop three Kalman filtering Theorems and their formal proof. Most notably, this paper reveals the following: (i) Kalman filtering equations are a consequence of the evolution of conditional characteristic function for the linear stochastic differential system coupled with the linear discrete measurement system. (ii) The Kalman filtering is a consequence of the stochastic evolution of conditional characteristic function for the linear stochastic differential system coupled with the linear continuous measurement system. (iii) The structure of the Kalman filter remains invariant under two popular stochastic interpretations, the Ito vs Stratonovich.
This are well made. Am glad I got them. I just needed a few pads for some new furniture we bought, I went to target and Walmart but didn’t like what I see,. I decided to check amazon,.. and bought this. They are pretty good. And am happy I got them
We present a data structure that supports three-dimensional range reporting queries in $O(\log \log U + (\log \log n)^3+k)$ time and uses $O(n\log^{1+\eps} n)$ space, where $U$ is the size of the universe, $k$ is the number of points in the answer,and $\eps$ is an arbitrary constant. This result improves over the data structure of Alstrup, Brodal, and Rauhe (FOCS 2000) that uses $O(n\log^{1+\eps} n)$ space and supports queries in $O(\log n+k)$ time,the data structure of Nekrich (SoCG'07) that uses $O(n\log^{3} n)$ space and supports queries in $O(\log \log U + (\log \log n)^2 + k)$ time, and the data structure of Afshani (ESA'08) that uses $O(n\log^{3} n)$ space and also supports queries in $O(\log \log U + (\log \log n)^2 + k)$ time but relies on randomization during the preprocessing stage. Our result allows us to significantly reduce the space usage of the fastest previously known static and incremental $d$-dimensional data structures, $d\geq 3$, at a cost of increasing the query time by a negligible $O(\log \log n)$ factor.
We report an experimental study of the emergence of non-trivial topological winding and long-range order across the paramagnetic to skyrmion lattice transition in the transition metal helimagnet MnSi. Combining measurements of the susceptibility with small angle neutron scattering, neutron resonance spin echo spectroscopy and all-electrical microwave spectroscopy, we find evidence of skyrmion textures in the paramagnetic state exceeding $10^3$\AA with lifetimes above several 10$^{-9}$s. Our experimental findings establish that the paramagnetic to skyrmion lattice transition in MnSi is well-described by the Landau soft-mode mechanism of weak crystallization, originally proposed in the context of the liquid to crystal transition. As a key aspect of this theoretical model, the modulation-vectors of periodic small amplitude components of the magnetization form triangles that add to zero. In excellent agreement with our experimental findings, these triangles of the modulation-vectors entail the presence of the non-trivial topological winding of skyrmions already in the paramagnetic state of MnSi when approaching the skyrmion lattice transition.
These is some evidence that it may harm the brains of a small minority who are susceptible for unknown reasons (e.g. damage to the GABA system). The answer will only come with more research. Perhaps there will be a genetic test to identify the vulnerable, or minimum CBD/THC ratio regulations (CBD is neuroprotective). Obviously it is reasonably safe for the majority when used responsibly. We just have to be scientifically informed about what "responsible" use is for all genotypes and ages. It's not for everyone.
Never thought a device would re-ignite my love of reading by its comfort of use. Love this kindle! Originally I thought this would be too small to use daily but in the last 10 days I have hardly put it down and as a result I am tearing through my kindle library. Thank goodness for Amazon Prime Kindle Unlimited. This is light weight and easy on the eyes in sunshine or low light.
Okay, as a long time Disney fan, I really -hate- direct-to-video Disney sequels. Walt HIMSELF didn't believe in them. He believed in "AND THEY LIVED HAPPILY EVER AFTER" being the end of it. But this one...REALLY ticked the taco. There were so many ripoffs of other Disney films in this, it wasn't funny. Quick summary, if you don't already know...: Melody, the daughter of Ariel and Prince Eric, is born. Ursula's sister, Morganna (who basically looks like Ursula, if she were to dye herself green and go on the Ally Macbeal starvation diet) shows up and, after trying to do the newborn tyke in, and failing, prophesizes doom for the characters. After that ordeal, Ariel goes into a lapse of being like her father, and refuses to tell Melody about her mermaid heritage, and later on, forbids her to go near the sea. Well surprise surprise. Melody finds out, being the stubborn brat she is, and runs away, then makes a deal with Morgana to become a mermaid, in exchange for something. (Gee does THAT sound familiar?) She becomes one, but in her half of the bargain, has to retrieve her granddaddy's Trident and bring it back to the sea witch. While doing THIS, she runs into a couple of outcast animals, a penguin and a walrus named Timon and Pumb--huh? wait...no! that's not Timon and Pumbaa! or is it? Could of fooled me. Anyway, i'd like to reveal more, but pretty much anything that could be guessed to happen does. OK so...long story short. This movie "borrows" too much from other (better) Disney films...and does it horribly. Come on...Tip and Dash? Why not just make Dash obscenely flatulent and make it an even more obvious ripoff! Ugh. Not to mention, the total character butchery of Ariel's persona. She's gone from being a freespirited, headstrong woman, to a clone of her father. Not good at all...they're basically telling us the sweet, firey little mermaid we've known to grow and love is dead. Plus Melody herself isn't such a great character either...she's damned annoying! And bratty! Not to mention what they've done to Flounder. Ugh...anyway if you decide to see this piece of created-mainly-for-profit-reasons, no-imagination, Eisner-sponsored c******t, I suggest maybe waiting 'till its on the Disney channel or some other tv station. Because, it's not even worth the price of a rental.<br /><br /> * out of ***** stars.
Self-doping in graphene has been studied by examining single-layer epitaxially grown graphene samples with differing characteristic lateral terrace widths. Low energy electron microscopy was used to gain real-space information about the graphene surface morphology, which was compared with data obtained by angle-resolved photoemission spectroscopy to study the effect of the monolayer graphene terrace width on the low energy dispersions. By altering the graphene terrace width, we report significant changes in the electronic structure and quasiparticle relaxation time of the material, in addition to a terrace width-dependent doping effect.
on the contrary to the person listed above me i felt that this movie was really funny particularly in the scenes were there is a lot of mix up. i don't want to give the plot and the storyline away to the people that haven't watched it yet but i will say that Paresh Rawal does not have an extensive role such as past Priyadarshan movies, for example, Hera Pheri and Hungama. Paresh Rawal does an amazing part in the little role given to him, John Abraham does equally well, Akshay Kumar has proved that he is no less in this movie like he had from Waqt and almost all his movies after Andaaz. Even though all three heroins in this movie were at a debut they did a pretty good job of acting particularly Nargis who is very good looking and hot. i would say that if you liked Hungama or Hera Pheri this movie is a must watch.
ghost touching problem Within a short time of installing this replacement screen, I began to have "ghost touching" problems. Over time it has gotten progressively worse, and now my Ipad is almost totally useless. This was the 3rd screen on my Ipad and it is not cracked or damaged in any way, and I have never had the problem before. Being the best rated digitizer replacement I am disappointed and wondering if there is a better option.
We study the transverse oscillatory modes of nanomechanical silicon nitride strings under high tensile stress as a function of geometry and mode index m <= 9. Reproducing all observed resonance frequencies with classical elastic theory we extract the relevant elastic constants. Based on the oscillatory local strain we successfully predict the observed mode-dependent damping with a single frequency independent fit parameter. Our model clarifies the role of tensile stress on damping and hints at the underlying microscopic mechanisms.
The dimensionality of the electronic and magnetic structure of a given material is generally predetermined by its crystal structure. Here, using elastic and inelastic neutron scattering combined with magnetization measurements, we find unusual magnetic behavior in three-dimensional (3D) Ba2CoO4. In spite of isolated CoO4 tetrahedra, the system exhibits a 3D noncollinear antiferromagnetic order in the ground state with an anomalously large Curie-Weiss temperature of 110 K compared to TN = 26 K. More unexpectedly, spin dynamics displays quasi-2D spin wave dispersion with an unusually large spin gap, and 1D magnetoelastic coupling. Our results indicate that Ba2CoO4 is a unique system for exploring the interplay between isolated polyhedra, low-dimensional magnetism, and novel spin states in oxides.
We present the first full-potential method that solves the fully relativistic 4-component Dirac-Kohn-Sham equation for materials in the solid state within the framework of atom-centered Gaussian-type orbitals (GTOs). Our GTO-based method treats one-, two-, and three-dimensional periodic systems on an equal footing, and allows for a seamless transition to the methodology commonly used in studies of molecules with heavy elements. The scalar relativistic effects and spin-orbit interaction are handled variationally. The full description of the electron-nuclear potential in the core region of heavy nuclei is straightforward due to the local nature of the GTOs and does not pose any computational difficulties. We show how the time-reversal symmetry and a quaternion algebra-based formalism can be exploited to significantly reduce the increased methodological complexity and computational cost associated with multiple wave-function components coupled by the spin-orbit interaction. We provide a description of how to employ the matrix form of the multipole expansion and an iterative renormalization procedure to evaluate the conditionally convergent lattice sums arising for periodic systems. We investigate the problem of inverse variational collapse that arises if the Dirac operator containing a repulsive periodic potential is expressed in a basis containing diffuse functions, and suggest a possible solution. We demonstrate the validity of the method on silver halide crystals with large relativistic effects, and two-dimensional honeycomb structures (silicene and germanene) exhibiting the spin-orbit-driven quantum spin Hall effect. Our results are well-converged with respect to the basis limit using standard bases developed for molecular calculations, and indicate that the rule of removing basis functions with small exponents should not be applied when transferring the molecular basis to solids.
We present the implementation and the first results of cosmic ray (CR) feedback in the Feedback In Realistic Environments (FIRE) simulations. We investigate CR feedback in non-cosmological simulations of dwarf, sub-$L\star$ starburst, and $L\star$ galaxies with different propagation models, including advection, isotropic and anisotropic diffusion, and streaming along field lines with different transport coefficients. We simulate CR diffusion and streaming simultaneously in galaxies with high resolution, using a two moment method. We forward-model and compare to observations of $\gamma$-ray emission from nearby and starburst galaxies. We reproduce the $\gamma$-ray observations of dwarf and $L\star$ galaxies with constant isotropic diffusion coefficient $\kappa \sim 3\times 10^{29}\,{\rm cm^{2}\,s^{-1}}$. Advection-only and streaming-only models produce order-of-magnitude too large $\gamma$-ray luminosities in dwarf and $L\star$ galaxies. We show that in models that match the $\gamma$-ray observations, most CRs escape low-gas-density galaxies (e.g.\ dwarfs) before significant collisional losses, while starburst galaxies are CR proton calorimeters. While adiabatic losses can be significant, they occur only after CRs escape galaxies, so they are only of secondary importance for $\gamma$-ray emissivities. Models where CRs are ``trapped'' in the star-forming disk have lower star formation efficiency, but these models are ruled out by $\gamma$-ray observations. For models with constant $\kappa$ that match the $\gamma$-ray observations, CRs form extended halos with scale heights of several kpc to several tens of kpc.
We consider the Chow ring with rational coefficients of the Jacobian of a curve. Assume D is a divisor in a base point free g^r_d of the curve such that the canonical divisor K is a multiple of the divisor D. We find relations between tautological cycles. We give applications for curves having a degree d covering of P^1 whose ramification points are all of order d, and then for hyperelliptic curves.
Motley: Here's the top-rated definition from Google: It's a generally accepted definition....except when right'wingers use it to describe liberals.. fas·cism ˈfaSHˌizəm/ noun noun: fascism; noun: Fascism; plural noun: Fascisms an authoritarian and nationalistic right-wing system of government and social organization. synonyms authoritarianism, totalitarianism, dictatorship, despotism, autocracy; More Nazism, rightism; nationalism, xenophobia, racism, anti-Semitism; jingoism, isolationism; neofascism, neo-Nazism "a film depicting the rise of fascism in the 1930s" (in general use) extreme right-wing, authoritarian, or intolerant views or practice We also know from history that dictators and despots work very, very hard to control the media since it provides an accountability they find intrusive. Trump seeks to discredit and delegitimate the media to invalidate the efforts to subject him to public accountability. .walks and talks a bit like a duck? eh Gary
Motivated by the centering of biological objects in large cells, we study the generic properties of centering forces inside a ball (or a volume of spherical topology) in $n$ dimensions. We consider two scenarios : autonomous centering (in which distance information is integrated from the agent perspective) and non-autonomous centering (in which distance to the surface is integrated over the whole surface). We find relations between the net centering force and the mean distance$^p$ to the surface. This allows us to find simple scaling laws between the centering force and the distance to the center, as a function of the dimensionality $n$. Interestingly, if the interactions between the agent and the surface are hyper-elastic, the net centering force can still be sub-elastic in the case of autonomous centering. These scaling laws are increasingly violated as the space becomes less convex. Generically, neither scenarios exactly converge to the center of mass of the space.
Determination of the mixing-induced $C\!P$-violating phase $\phi_{s}$ and decay width difference $\Delta\Gamma_{s}$ in $\bar{b}\to\bar{c}c\bar{s}$ decays is one of the main goals of the LHCb experiment. Thanks to the precise prediction of the $\phi_{s}$ value within the Standard Model, it represents an excellent probe to search for new physics. The measurements of $\phi_{s}$ and $\Delta\Gamma_{s}$ at LHCb are reviewed including results from the 3.0~fb$^{-1}$ dataset accumulated during 2011-2012. Further measurement improvement is expected from the inclusion of results obtained using decay modes with smaller branching fraction.
We present a new and simple randomized algorithm for constructing the Delaunay triangulation using nearest neighbor graphs for point location. Under suitable assumptions, it runs in linear expected time for points in the plane with polynomially bounded spread, i.e., if the ratio between the largest and smallest pointwise distance is polynomially bounded. This also holds for point sets with bounded spread in higher dimensions as long as the expected complexity of the Delaunay triangulation of a sample of the points is linear in the sample size.
A self-consistent calculation of nuclear matrix elements of the neutrinoless double beta decays (0nbb) of 76Ge, 82Se, 96Zr, 100Mo, 116Cd, 128Te, 130Te and 130Xe is presented in the framework of the renormalized quasiparticle random phase approximation (RQRPA) and the standard QRPA. The pairing and residual interactions as well as the two-nucleon short-range correlations are for the first time derived from the same modern realistic nucleon-nucleon potentials, namely from charge-dependent Bonn potential (CD-Bonn) and the Argonne V18 potential. In a comparison with the traditional approach of using the Miller-Spencer Jastrow correlations matrix elements for the 0nbb-decay are obtained, which are larger in magnitude. We analyze the differences among various two-nucleon correlations including those of the unitary correlation operator method (UCOM) and quantify the uncertainties in the calculated 0nbb-decay matrix elements.
Standard flavors of density-functional theory (DFT) calculations are known to fail in describing anions, due to large self-interaction errors. The problem may be circumvented by using localized basis sets of reduced size, leaving no variational flexibility for the extra electron to delocalize. Alternatively, a recent approach exploiting DFT evaluations of total energies on electronic densities optimized at the Hartree-Fock (HF) level has been reported, showing that the self-interaction-free HF densities are able to lead to an improved description of the additional electron, returning affinities in close agreement with the experiments. Nonetheless, such an approach can fail when the HF densities are too inaccurate. Here, an alternative approach is presented, in which an embedding environment is used to stabilize the anion in a bound configuration. Similarly to the HF case, when computing total energies at the DFT level on these corrected densities, electron affinities in very good agreement with experiments can be recovered. The effect of the environment can be evaluated and removed by an extrapolation of the results to the limit of vanishing embedding. Moreover, the approach can be easily applied to DFT calculations with delocalized basis sets, e.g. plane-waves, for which alternative approaches are either not viable or more computationally demanding. The proposed extrapolation strategy can be thus applied also to extended systems, as often studied in condensed-matter physics and materials science, and we illustrate how the embedding environment can be exploited to determine the energy of an adsorbing anion - here a chloride ion on a metal surface - whose charge configuration would be incorrectly predicted by standard density functionals.
Optical metamaterials capture the imagination with breathtaking promises of nanoscale resolution in imaging and invisibility cloaking. We demonstrate an approach to construct a metamaterial in which metallic nanorods, of dimension much smaller than the wavelength of light, are suspended in a fluid and placed in a nonuniform electric field. The field controls the spatial distribution and orientation of nanorods because of the dielectrophoretic effect. The field-controlled placement of nanorods causes optical effects such as varying refractive index, optical anisotropy (birefringence), and reduced visibility of an object enclosed by the metamaterial.
In 2006, 9-variable Boolean functions having nonlinearity 241, which is strictly greater than the bent concatenation bound of 240, have been discovered in the class of Rotation Symmetric Boolean Functions (RSBFs) by Kavut, Maitra and Yucel. To improve this nonlinearity result, we have firstly defined some subsets of the n-variable Boolean functions as the "generalized classes of k-RSBFs and k-DSBFs (k-Dihedral Symmetric Boolean Functions)", where k is a positive integer dividing n and k-RSBFs is a subset of l-RSBFs if k < l. Secondly, utilizing the steepest-descent like iterative heuristic search algorithm used previously to identify the 9-variable RSBFs with nonlinearity 241, we have made a search within the classes of 3-RSBFs and 3-DSBFs. The search has accomplished to find 9-variable Boolean functions with nonlinearity 242 in both of these classes. It should be emphasized that although the class of 3-RSBFs contains functions with nonlinearity 242; 1-RSBFs or simply RSBFs, which is a subset of 3-RSBFs, does not contain any. This result also shows that the covering radius of the first order Reed-Muller code R(1, 9) is at least equal to 242. Thirdly, motivated by the fact that RSBFs are invariant under a special permutation of the input vector, we have classified all possible permutations up to the linear equivalence of Boolean functions that are invariant under those permutations. Specifically, for 9-variable Boolean functions, 9! possible permutations are classified into 30 classes; and the search algorithm identifies some of these classes as "rich". The rich classes yield new Boolean functions with nonlinearity 242 having different autocorrelation spectra from those of the functions found in the generalized 3-RSBF and 3-DSBF classes.
Low dimensional systems with a vanishing band-gap and a large electron-hole interaction have been proposed to be unstable towards exciton formation. As the exciton binding energy increases in low dimension, conventional wisdom suggests that excitonic insulators should be more stable in 2D than in 3D. Here we study the effects of the electron-hole interaction and anharmonicity in single-layer TiSe2. We find that, contrary to the bulk case and to the generally accepted picture, the electron-hole exchange interaction is much smaller in 2D than in 3D and it has negligible effects on phonon spectra. By calculating anharmonic phonon spectra within the stochastic self-consistent harmonic approximation, we obtain TCDW = 440K for an isolated and undoped single-layer and TCDW = 364K for an electron-doping n = 4.6 x 10^13 cm^{-2} , close to the experimental result of 200-280K on supported samples. Our work demonstrates that anharmonicity and doping melt the charge density wave in single-layer TiSe2.
In this paper we propose integrating a priori knowledge into both design and training of convolutional neural networks (CNNs) to learn object representations that are invariant to affine transformations (i.e., translation, scale, rotation). Accordingly we propose a novel multi-scale maxout CNN and train it end-to-end with a novel rotation-invariant regularizer. This regularizer aims to enforce the weights in each 2D spatial filter to approximate circular patterns. In this way, we manage to handle affine transformations in training using convolution, multi-scale maxout, and circular filters. Empirically we demonstrate that such knowledge can significantly improve the data-efficiency as well as generalization and robustness of learned models. For instance, on the Traffic Sign data set and trained with only 10 images per class, our method can achieve 84.15% that outperforms the state-of-the-art by 29.80% in terms of test accuracy.
The other viewpoint illustrated by the rapporteur' s initial statement and shared by a number of members is to promote regulations and codes of conduct which are needed in order to establish among insurers ways of organising costs on a mutual basis providing everybody with guaranteed access to high-quality care and to counter the risk of discriminatory practices developing together with risk and client selection.
The movie never becomes intolerable to watch. And to tell it straight, it has nothing to show either, except maybe part-sexy Alicia Silverstone in a nerdy non-sexy character in revealing quite-sexy dresses. The story is very easy to follow or there's nothing to follow -- you can see in either way. There is no suspense, little action, unimpressive dialogs, unsatisfactory sensuality, same boring locations and very bland acting. Kevin Dillon is totally worthless. Silverstone... well, I didn't concentrate too much on her acting, I confess. Yet as I said earlier, if one has nothing to do except watching a movie, this won't look so bad. 4/10
We report integrated charge sensing measurements on a Si/SiGe double quantum dot. The quantum dot is shown to be tunable from a single, large dot to a well-isolated double dot. Charge sensing measurements enable the extraction of the tunnel coupling, t, between the quantum dots as a function of the voltage on the top gates defining the device. Control of the voltage on a single such gate tunes the barrier separating the two dots. The measured tunnel coupling is an exponential function of the gate voltage. The ability to control t is an important step towards controlling spin qubits in silicon quantum dots.
G292.0+1.8 (G292) is a young ($\sim$3000 yr), Galactic textbook-type core-collapse supernova remnant (CCSNR). It is characterized by X-ray, optical and infrared emission from ejecta and circumstellar medium (CSM) features, and contains a pulsar (PSR J1124-5916) and pulsar wind nebula that have been observed in X-rays and radio. Previous studies have revealed a complex, dynamically evolving, oxygen-rich remnant, a striking relic from the explosion of a massive star. Here, using our deep (530 ks) $\textit{Chandra}$ ACIS data, we present high spatial-resolution maps (based on a regional grid size of a few arcsec) of the shocked CSM and metal-rich ejecta in G292. We make the first $\textit{Chandra}$-detection of Fe-rich ejecta in G292. We identify the X-ray counterpart of the northern equatorial belt, a component of a ring-like CSM structure identified earlier in the infrared band. We show the detailed spatial distributions of ejecta enriched in O, Ne, Mg, Si, S and Fe. We find that the bulk of the Si, S and Fe-rich X-ray-emitting ejecta are located in the northwestern hemisphere of the remnant, opposite to the pulsar's projected angular displacement to the southeast from the SNR's center. This suggests that the pulsar's kick may have originated from gravitational and hydrodynamic forces during an asymmetric explosion, rather than from anisotropic neutrino emission. Based on abundance ratios and our estimated CSM and ejecta masses, we constrain the progenitor mass to 13 M$_{\odot}$ $\lesssim$ M $\lesssim$ 30 M$_{\odot}$
I remember I loved this movie when it came out. I was 12 years old, had a Commodore 64 and loved to play Rambo on it. I was therefore really thrilled when I got to buy this movie really cheap. I put it in my VCR and started up: Man this movie is really bad! Sylvester Stallone says like 3 words in the entire movie (except for that awful sentimental speech at the end), and has the same expression on his face all the way. And that stupid love thing in the middle, it's just so amazingly predictable. I just ended up fast forwarding the entire thing and went to exchange the movie for something else.
I had high hopes for these. I followed the ... I had high hopes for these. I followed the instructions and gave all the plates 24hrs to dry. All but one holder had lifted off the plates by the end of the 24hrs. I ended up using 3M double sided tape to stick them on which has been working for 3 months.
We used the APEX telescope to observe the 372 GHz o-H$_2$D$^+(J_{K_a,\,K_c}=1_{1,\,0}-1_{1,\,1})$ line towards three prestellar cores and three protostellar cores in Orion B9. We also employed our previous APEX observations of C$^{17}$O, C$^{18}$O, N$_2$H$^+$, and N$_2$D$^+$ line emission, and 870 $\mu$m dust continuum emission towards the target sources. The o-H$_2$D$^+$ line was detected in all three prestellar cores, but in only one of the protostellar cores. The corresponding o-H$_2$D$^+$ abundances were derived to be $\sim(12-30)\times10^{-11}$ and $6\times10^{-11}$. Two additional spectral lines, DCO$^+(5-4)$ and N$_2$H$^+(4-3)$, were detected in the observed frequency bands with high detection rates of $100\%$ and $83\%$, respectively. The Orion B9 cores were found to be consistent with the relationship between the o-H$_2$D$^+$ abundance and gas temperature obeyed by other low-mass dense cores. The o-H$_2$D$^+$ abundance was found to decrease as the core evolves. The o-H$_2$D$^+$ abundances in the Orion B9 cores are in line with those found in other low-mass cores and larger than derived for high-mass star-forming regions. The higher o-H$_2$D$^+$ abundance in prestellar cores compared to that in cores hosting protostars is to be expected from chemical reactions where higher concentrations of gas-phase CO and elevated gas temperature accelerate the destruction of H$_2$D$^+$. The validity of using the [o-H$_2$D$^+$]/[N$_2$D$^+$] ratio as an evolutionary indicator, which has been proposed for massive clumps, remains to be determined when applied to these target cores. Overall, as located in a dynamic environment of Orion B, the Orion B9 filament provides an interesting target system to investigate the deuterium-based chemistry, and further observations of species like para-H$_2$D$^+$ and D$_2$H$^+$ would be of particular interest.
Graphs provide an efficient tool for object representation in various computer vision applications. Once graph-based representations are constructed, an important question is how to compare graphs. This problem is often formulated as a graph matching problem where one seeks a mapping between vertices of two graphs which optimally aligns their structure. In the classical formulation of graph matching, only one-to-one correspondences between vertices are considered. However, in many applications, graphs cannot be matched perfectly and it is more interesting to consider many-to-many correspondences where clusters of vertices in one graph are matched to clusters of vertices in the other graph. In this paper, we formulate the many-to-many graph matching problem as a discrete optimization problem and propose an approximate algorithm based on a continuous relaxation of the combinatorial problem. We compare our method with other existing methods on several benchmark computer vision datasets.
In many of the cryptography applications like password or IP address encryption schemes, symmetric cryptography is useful. In these relatively simpler applications of cryptography, asymmetric cryptography is difficult to justify on account of the computational and implementation complexities associated with asymmetric cryptography. Symmetric schemes make use of a single shared key known only between the two communicating hosts. This shared key is used both for the encryption as well as the decryption of data. This key has to be small in size besides being a subset of a potentially large keyspace making it convenient for the communicating hosts while at the same time making cryptanalysis difficult for the potential attackers. In the present work, an abstract Rossler nonlinear dynamical machine has been described first. The Rossler system exhibits chaotic dynamics for certain values of system parameters and initial conditions. The chaotic dynamics of the Rossler system with its apparently erratic and irregular characteristics and extreme sensitivity to the initial conditions has been used for the design of the cryptographic key in an attempt to increase the confusion and the challenge for the potential attackers.
Two-Higgs-Doublet Model Evolver (2HDME) is a C++ program that provides the functionality to perform fast renormalization group equation running of the general, potentially CP-violating, 2 Higgs Doublet Model at 2-loop order. Simple tree-level calculations of masses; calculations of the oblique parameters S, T and U; different parameterizations of the scalar potential; tests of perturbativity, unitarity and tree-level stability of the scalar potential are also implemented. We briefly describe the 2HDME's structure, provide a demonstration of how to use it and list some of the most useful functions.
Robotic tasks, like reaching a pre-grasp configuration, are specified in the end effector space or task space, whereas, robot motion is controlled in joint space. Because of inherent actuation errors in joint space, robots cannot achieve desired configurations in task space exactly. Furthermore, different inverse kinematics (IK) solutions map joint space error set to task space differently. Thus for a given task with a prescribed error tolerance, all IK solutions will not be guaranteed to successfully execute the task. Any IK solution that is guaranteed to execute a task (possibly with high probability) irrespective of the realization of the joint space error is called a robust IK solution. In this paper we formulate and solve the robust inverse kinematics problem for redundant manipulators with actuation uncertainties (errors). We also present simulation and experimental results on a $7$-DoF redundant manipulator for two applications, namely, a pre-grasp positioning and a pre-insertion positioning scenario. Our results show that the robust IK solutions result in higher success rates and also allows the robot to self-evaluate how successful it might be in any application scenario.
We discuss compactness, blow-up and quantization phenomena for the prescribed $Q$-curvature equation $(-\Delta)^m u_k=V_ke^{2mu_k}$ on open domains of $\R{2m}$. Under natural integral assumptions we show that when blow-up occurs, up to a subsequence $$\lim_{k\to \infty}\int_{\Omega_0} V_ke^{2mu_k}dx=L\Lambda_1,$$ where $\Omega_0\subset\subset\Omega$ is open and contains the blow-up points, $L\in\mathbb{N}$ and $\Lambda_1:=(2m-1)!\vol(S^{2m})$ is the total $Q$-curvature of the round sphere $S^{2m}$. Moreover, under suitable assumptions, the blow-up points are isolated. We do not assume that $V$ is positive.
A graph is k-total colourable if there is an assignment of k different colours to the vertices and edges of the graph such that no two adjacent nor incident elements receive the same colour. The total chromatic number of some direct product graphs are determined. In particular, a sufficient condition is given for direct products of bipartite graphs to have total chromatic number equal to its maximum degree plus one. Partial results towards the total chromatic number of the direct product of complete graphs are also established.
Have to disagree with people saying that this is a lousy horror film with good acting and camera-work - I'd say it's an okay horror flick RUINED by shockingly abysmal acting and poor camera-work - watch 'Ju-on : The Grudge instead of wasting your time with this garbage. The principal idea behind the film is rather an original one, considering the abundance of killer-doll-based scare-fests which have been foist upon us over the years; unfortunately, the story is handled with all the subtlety of the latest Michael Bay actioner, with a cast of characters which are uniformly unlikable and played with precision-perfect dreadfulness by actors presumably sifted from daytime Korean soap operas. It isn't scary and only succeeds in dampening your expectations of the next Korean horror movie to come-a-calling. Oh well.
An optical spectroscopic method based on the principle of electromagnetically-induced transparency (EIT) is proposed as quite a generic probing tool that provides valuable insights into the nature of Fermi paring in ultracold Fermi gases of two hyperfine states. This technique has the capability of allowing spectroscopic response to be determined in a nearly non-destructive manner and the whole spectrum may be obtained by scanning the probe laser frequency faster than the lifetime of the sample without re-preparing the atomic sample repeatedly. A quasiparticle picture is constructed to facilitate a simple physical explanation of the pairing signature in the EIT spectra.
We present a study on the environments of the SDSS galaxies divided into fine classes based on their morphology, colour and spectral features. The SDSS galaxies are classified into early-type and late-type; red and blue; passive, HII, Seyfert and LINER, which returns a total of 16 fine classes of galaxies. We estimate the local number density, target-excluded local luminosity density, local colour, close pair fraction and the luminosity and colour of the brightest neighbour, which are compared between the fine classes comprehensively. The morphology-colour class of galaxies strongly depends on the local density, with the approximate order of high-density preference: red early-type galaxies (REGs) -- red late-type galaxies (RLGs) -- blue early-type galaxies (BEGs) -- blue late-type galaxies (BLGs). We find that high-density environments (like cluster environments) seem to suppress AGN activity. The pair fraction of HII REGs does not show statistically significant difference from that of passive REGs, while the pair fraction of HII BLGs is smaller than that of non-HII BLGs. HII BLGs show obvious double (red + blue) peaks in the distribution of the brightest neighbour colour, while red galaxies show a single red peak. The brightest neighbours of Seyfert BLGs tend to be blue, while those of LINER BLGs tend to be red, which implies that the difference between Seyfert and LINER may be related to the pair interaction. Other various environments of the fine classes are investigated, and their implication on galaxy evolution is discussed.
Although fullerenes have long been hypothesized to occur in interstellar environments, their actual unambiguous spectroscopic identification is of more recent date. C60, C70 and C60+ now constitute the largest molecular species individually identified in the interstellar medium (ISM). Fullerenes have significant proton affinities and it was suggested that C60H+ is likely the most abundant interstellar analogue of C60. We present here the first laboratory infrared (IR) spectrum of gaseous C60H+. Symmetry breaking relative to C60 produces an IR spectrum that is much richer than that of C60. The experimental spectrum is used to benchmark theoretical spectra indicating that the B3LYP density functional with the 6-311+G(d,p) basis set accurately reproduces the spectrum. Comparison with IR emission spectra from two planetary nebulae, SMP LMC56 and SMC16, that have been associated with high C60 abundances, indicate that C60H+ is a plausible contributor to their IR emission.
Motivated by a potential application in economics, we investigate a simple dynamical scheme to produce planted solutions in optimization problems with continuous variables. We consider the perceptron model as a prototypical model. Starting from random input patterns and perceptron weights, we find a locally optimal assignment of weights by gradient descent; we then remove misclassified patterns (if any), and replace them by new, randomly extracted patterns. This "remove and replace" procedure is iterated until perfect classification is achieved. We call this procedure "self-planting" because the "planted" state is not pre-assigned but results from a co-evolution of weights and patterns. We find an algorithmic phase transition separating a region in which self-planting is efficiently achieved from a region in which it takes exponential time in the system size. We conjecture that this transition might exist in a broad class of similar problems.
Using inelastic neutron scattering, x-ray, neutron diffraction, and the first-principle calculation techniques, we show that the crystal structure of the two-dimensional quantum spin system (CuCl)LaNb$_2$O$_7$ is orthorhombic with $Pbam$ symmetry in which CuCl$_4$O$_2$ octahedra are tilted from their high symmetry positions and the Cu$^{2+} (s = 1/2)$ ions form a distorted square lattice. The dominant magnetic interactions are the fourth nearest neighbor antiferromagnetic interactions with a Cu-Cl--Cl-Cu exchange path, which lead to the formation of spin singlets. The two strongest interactions between the singlets are ferromagnetic, which makes (CuCl)LaNb$_2$O$_7$ the first system of ferromagnetically coupled Shastry-Sutherland quantum spin singlets.
Recent developments in the ZX-Calculus have resulted in complete axiomatisations first for an approximately universal restriction of the language, and then for the whole language. The main drawbacks were that the axioms that were added to achieve completeness were numerous, tedious to manipulate and lacked a physical interpretation. We present in this paper two complete axiomatisations for the general ZX-Calculus, that we believe are optimal, in that all their equations are necessary and moreover have a nice physical interpretation.
Three-body and n-body problems in celestial mechanics are age-old and challenging puzzles. In recent years, several breakthroughs are made in finding periodic orbits for three-body problem. And Bohua Sun proposed a conjecture on Kepler's third law of three-body and n-body problems by using the dimensional analysis method and the mass product symmetry of Newtonian gravitational field. In this paper, the background as well as the research progress on the Kepler's third law, three-body and n-body problems is introduced briefly, and then Bohua Sun's conjecture on Kepler's third law of three-body and n-body problems is reviewed from the perspective of both theory and application.
Federer's characterization states that a set $E\subset \mathbb{R}^n$ is of finite perimeter if and only if $\mathcal H^{n-1}(\partial^*E)<\infty$. Here the measure-theoretic boundary $\partial^*E$ consists of those points where both $E$ and its complement have positive upper density. We show that the characterization remains true if $\partial^*E$ is replaced by a smaller boundary consisting of those points where the \emph{lower} densities of both $E$ and its complement are at least a given number. This result is new even in Euclidean spaces but we prove it in a more general complete metric space that is equipped with a doubling measure and supports a Poincar\'e inequality.
Hit for the kids Personally I see zero appeal to this game but my boys absolutely love it. So do all of the neighbor kids so there's clearly something about it that appeals. If it were just for me I would give it one star because I find it excruciatingly dull, but for them it's got to be five. So I gave it four because I just couldn't bear to give it five :). They request this comes out constantly. There's tons of pieces so we made our own box organizer out of Legos to simplify set up so that the kids can play on their own. There's a whole group of 5 to 7 year old neighborhood boys they like to get together and play.
A new method for solving relativistic ideal hydrodynamics in (1+3)D is developed. Longitudinal and transverse radial flows are explicitly embedded and the hydrodynamic equations are reduced to a single equation for the transverse velocity field only, which is much more tractable. As an application we use the method to find analytically all possible solutions with power dependence on proper time and transverse radius. Possible application to the Relativistic Heavy Ion Collisions and possible generalizations of the method are discussed.
Massive Wolf-Rayet (WR) stars dominate the radiative and mechanical energy budget of galaxies and probe a critical phase in the evolution of massive stars prior to core-collapse. It is not known whether core He-burning WR stars (classical WR, cWR) form predominantly through wind-stripping (w-WR) or binary stripping (b-WR). With spectroscopy of WR binaries so-far largely avoided due to its complexity, our study focuses on the 44 WR binaries / binary candidates of the Large Magellanic Cloud (LMC, metallicity Z~0.5 Zsun), identified on the basis of radial velocity variations, composite spectra, or high X-ray luminosities. Relying on a diverse spectroscopic database, we aim to derive the physical and orbital parameters of our targets, confronting evolution models of evolved massive stars at sub-solar metallicity, and constraining the impact of binary interaction in forming them. Spectroscopy is performed using the Potsdam Wolf-Rayet (PoWR) code and cross-correlation techniques. Disentanglement is performed using the code Spectangular or the shift-and-add algorithm. Evolutionary status is interpreted using the Binary Population and Spectral Synthesis (BPASS) code, exploring binary interaction and chemically-homogeneous evolution. No obvious dichotomy in the locations of apparently-single and binary WN stars on the Hertzsprung-Russell diagram is apparent. According to commonly used stellar evolution models (BPASS, Geneva), most apparently-single WN stars could not have formed as single stars, implying that they were stripped by an undetected companion. Otherwise, it must follow that pre-WR mass-loss/mixing (e.g., during the red supergiant phase) are strongly underestimated in standard stellar evolution models.
After the success of Part 4, another sequel was a natural move. However they should have stopped it before it began. Alice, having survived Part 4 finds herself pregnant and it seems Freddy is using her unborn child to get at his victims, which of course are Alice's friends. Strange Nightmare movie, very heavy on religious imagery and bad acting. The special effects are good, but the movie itself is not.
Low barrier nanomagnets have attracted a lot of research interest for their use as sources of high quality true random number generation. More recently, low barrier nanomagnets with tunable output have been shown to be a natural hardware platform for unconventional computing paradigms such as probabilistic spin logic. Efficient generation and tunability of high quality random bits is critical for these novel applications. However, current spintronic random number generators are based on superparamagnetic tunnel junctions (SMTJs) with tunability obtained through spin transfer torque (STT), which unavoidably leads to challenges in designing concatenated networks using these two terminal devices. The more recent development of utilizing spin orbit torque (SOT) allows for a three terminal device design, but can only tune in-plane magnetization freely, which is not very energy efficient due to the needs of overcoming a large demagnetization field. In this work, we experimentally demonstrate for the first time, a stochastic device with perpendicular magnetic anisotropy (PMA) that is completely tunable by SOT without the aid of any external magnetic field. Our measurements lead us to hypothesize that a tilted anisotropy might be responsible for the observed tunability. We carry out stochastic Landau-Lifshitz-Gilbert (sLLG) simulations to confirm our experimental observation. Finally, we build an electrically coupled network of two such stochastic nanomagnet based devices and demonstrate that finite correlation or anti-correlation can be established between their output fluctuations by a weak interconnection, despite having a large difference in their natural fluctuation time scale. Simulations based on a newly developed dynamical model for autonomous circuits composed of low barrier nanomagnets show close agreement with the experimental results.
When deploying a Chinese neural text-to-speech (TTS) synthesis system, one of the challenges is to synthesize Chinese utterances with English phrases or words embedded. This paper looks into the problem in the encoder-decoder framework when only monolingual data from a target speaker is available. Specifically, we view the problem from two aspects: speaker consistency within an utterance and naturalness. We start the investigation with an Average Voice Model which is built from multi-speaker monolingual data, i.e. Mandarin and English data. On the basis of that, we look into speaker embedding for speaker consistency within an utterance and phoneme embedding for naturalness and intelligibility and study the choice of data for model training. We report the findings and discuss the challenges to build a mixed-lingual TTS system with only monolingual data.
The amplitudes for the rare decay modes $K^\pm\to\pi^\pm\ell^+\ell^-$ and $K_S\to\pi^0\ell^+\ell^-$ are studied with the aim of obtaining predictions for them, such as to enable the possibility to search for violations of lepton-flavour universality in the kaon sector. The issue is first addressed from the perspective of the low-energy expansion, and a two-loop representation of the corresponding form factors is constructed, leaving as unknown quantities their values and slopes at vanishing momentum transfer. In a second step a phenomenological determination of the latter is proposed. It consists of the contribution of the resonant two-pion state in the $P$ wave, and of the leading short-distance contribution determined by the operator-product expansion. The interpolation between the two energy regimes is described by an infinite tower of zero-width resonances matching the QCD short-distance behaviour. Finally, perspectives for future improvements in the theoretical understanding of these amplitudes are discussed.
The most crucial issue here is that they are banning vapor products. Time and again "Public Health" has pushed for smoker's to quit. When they do quit by switching to vaping they are thrown under the bus the same way as when they were smokers. We already know that vaping is at least 95% safer than combustible tobacco, vapers have less risk of respiratory infections, second hand vapor issues do not exist, etc. So why punish vapers for choosing a healthier lifestyle?
We examine the class of barotropic fluid models of dark energy, in which the pressure is an explicit function of the density, p = f(\rho). Through general physical considerations we constrain the asymptotic past and future behaviors and show that this class is equivalent to the sum of a cosmological constant and a decelerating perfect fluid, or "aether", with w_{AE}\ge0. Barotropic models give substantially disjoint predictions from quintessence, except in the limit of \LambdaCDM. They are also interesting in that they simultaneously can ameliorate the coincidence problem and yet "predict" a value of w\approx-1.
Cheap product - missing and broken parts. Arrived with missing, dented and bent parts. There were dents in the poles. The "rings" you connect the velvet rope to each post were both missing. One of the "balls" on top of the post was not usable since the attachment bolt was badly bent.. Several reviews of the product were mostly positive but that was not at all my experience. There were 3 separate issues with the product each of which was a reason to not buy again.