Pandemic expected to magnify differences between healthy retailers and those with big financial troubles.

On Tuesday, February 26, Grand Canyon National Park will celebrate the anniversary of its designation as a national park 94 years to the day after An Act to Establish the Grand Canyon National Park in the State of Arizona was signed into law. https://www.nps.gov/grca/learn/news/2013-02-08_b-day.htm

National Park Rangers at Grand Canyon National Park are strongly urging visitors to Grand Canyon, especially inner canyon hikers, mule riders, and backpackers to be prepared for excessively hot days in the coming weeks. https://www.nps.gov/grca/learn/news/hike-smart-at-grand-canyon-national-park.htm

We show weak-strong uniqueness and stability results for the motion of a two or three dimensional fluid governed by the Navier-Stokes equation interacting with a flexible, elastic plate of Koiter type. The plate is situated at the top of the fluid and as such determines the variable part of a time changing domain (that is hence a part of the solution) containing the fluid. The uniqueness result is a consequence of a stability estimate where the difference of two solutions is estimated by the distance of the initial values and outer forces. For that we introduce a methodology that overcomes the problem that the two (variable in time) domains of the fluid velocities and pressures are not the same. The estimate holds under the assumption that one of the two weak solutions possesses some additional higher regularity. The additional regularity is exclusively requested for the velocity of one of the solutions resembling the celebrated Ladyzhenskaya-Prodi-Serrin conditions in the framework of variable domains.

We give a simple proof of the strong maximum principle for viscosity subsolutions of fully nonlinear elliptic PDEs on the form $$ F(x,u,Du,D^2u) = 0 $$ under suitable structure conditions on the equation allowing for non-Lipschitz growth in the gradient terms. In case of smooth boundaries, we also prove the Hopf lemma, the boundary Harnack inequality and that positive viscosity solutions vanishing on a portion of the boundary are comparable with the distance function near the boundary. Our results apply to weak solutions of an eigenvalue problem for the variable exponent $p$-Laplacian.

In this paper, we give new constructions of strongly regular Cayley graphs on abelian groups as generalizations of a series of known constructions: the construction of covering extended building sets in finite fields by Xia (1992), the product construction of Menon-Hadamard difference sets by Turyn (1984), and the construction of Paley type partial difference sets by Polhill (2010). Then, we obtain new large families of strongly regular Cayley graphs of Latin square type or negative Latin square type.

In this paper, we present three distributed algorithms to solve a class of generalized Nash equilibrium (GNE) seeking problems in strongly monotone games. The first one (SD-GENO) is based on synchronous updates of the agents, while the second and the third (AD-GEED and AD-GENO) represent asynchronous solutions that are robust to communication delays. AD-GENO can be seen as a refinement of AD-GEED, since it only requires node auxiliary variables, enhancing the scalability of the algorithm. Our main contribution is to prove converge to a variational GNE of the game via an operator-theoretic approach. Finally, we apply the algorithms to network Cournot games and show how different activation sequences and delays affect convergence. We also compare the proposed algorithms to the only other in the literature (ADAGNES), and observe that AD-GENO outperforms the alternative.

We consider generic optimal Bayesian inference, namely, models of signal reconstruction where the posterior distribution and all hyperparameters are known. Under a standard assumption on the concentration of the free energy, we show how replica symmetry in the strong sense of concentration of all multioverlaps can be established as a consequence of the Franz-de Sanctis identities; the identities themselves in the current setting are obtained via a novel perturbation of the prior distribution of the signal. Concentration of multioverlaps means that asymptotically the posterior distribution has a particularly simple structure encoded by a random probability measure (or, in the case of binary signal, a non-random probability measure). We believe that such strong control of the model should be key in the study of inference problems with underlying sparse graphical structure (error correcting codes, block models, etc) and, in particular, in the derivation of replica symmetric formulas for the free energy and mutual information in this context.

By Energy.Gov Annual reports analyzing the wind energy industry released today by the Energy Department show continued rapid growth in wind power installations in 2015, demonstrating market resilience and underscoring the vitality of the U.S. wind energy market on a … Continue reading →

Corrosion by ammonia/amine salts in hydrocarbon streams such as distillation overhead streams that contain a mineral acid and water can be prevented, avoided or minimized by adding certain strong amines to the streams. The amines have a pKa between about 10.5 to about 12 and include, but are not necessarily limited to, dimethylamine, diethylamine, dipropylamine, diisopropyl-amine, di-n-butylamine, diisobutylamine, di-sec-butylamine, di-tert-butylamine, pyrrolidine, piperidine, and combinations thereof. If the hydrocarbon stream further includes a nitrogen-containing compound such as ammonia, a tramp and/or a residual amine which can form a corrosive salt with the mineral acid, then the added amine is a stronger base than the tramp or residual amine, if present. The amount of added amine is greater than total amount of nitrogen-containing compound, so that any corrosive salts formed are less corrosive than the salts that would otherwise form from the ammonia and/or tramp amine.

THEY’VE served generations of drinkers over the years and they are still going strong.

New Liverpool signing Adam Lallana believes England's World Cup failure will make him mentally tougher.

STUART Armstrong is starting to feel like he finally belongs in the Premier League.

This arrives after Azriel announced her plans to begin a YouTube video show in which she would share her truth about what she felt and experienced when she dated the disgraced singer.

Stretch and Evan are the co-authors of the new book No Sleep: NYC Nightlife Flyers 1988-1999. The book, as its title suggests, is a collection of flyers from the prime years of New York City nightlife, mixed with recollections from people who were there.

But both guests are known for far more than the book. Evan was the driving force behind Evil Empire mixtapes, and currently runs the popular Up North Trips, which has a website, Twitter, and Instagram devoted to hip-hop memorabilia, anniversaries, and history.

Stretch, of course, was the co-host of one of the most influential radio shows of all time, the Stretch Armstrong and Bobbito show. The show, co-hosted by Bobbito Garcia, ran on WKCR starting in 1990, and defined the sound of underground rap. Just a short list of artists who appeared on that show in the early years of their career would include Nas, Common, Jay Z, Eminem, Busta Rhymes, Big Pun, Big L, the Notorious B.I.G., and the Wu-Tang Clan. Many of those artists, and a ton more, revisited their experiences in the 2015 documentary Stretch and Bobbito: Radio That Changed Lives.

See http://theciphershow.com/episode/188/ for full show notes and comments.

Next week, the movie based on Doug Stanton’s book ‘Horse Soldiers’ will hit theaters nationwide. It’s about a small group of Special Forces who rode horses to fight the Taliban. “It’s a Western with lasers,” says Doug.

Faith is essential in being saved. Do you have enough faith? Do you want more faith?

Faith is essential in being saved. Do you have enough faith? Do you want more faith?

BAGHDAD -- The Iraqi platoon slips in darkness down a path from an abandoned rail yard to a cemetery in Haifa, a Baghdad district long notorious for insurgent ambushes.

NEW YORK (AP) — They stood, they cheered, they booed and they boozed. Turns out, esports fans in New York aren’t much different from their traditional sports counterparts. Packing a nearly 2,000-seat venue across the street from Madison Square Garden, those supporters validated the theory behind the Overwatch League’s ambitious global vision. “This event is […]

Ken Price, president of Amalgamated Transit Union Local 587 in Seattle, issued a bulletin that calls for a $2 hourly wage boost, retroactive to early March and continuing until Gov. Jay Inslee lifts the statewide stay-at-home order.

Seattle real estate is expected to be a hotspot next year, continuing a long trend of investing and building. But the prospects for housebuilding are more muted.

PORTLAND — Marijuana sales in Oregon along the Idaho state line are 420% the statewide average, according to a state report. Idaho residents are purchasing recreational marijuana in Oregon because it is illegal in Idaho, the report released Friday by the Oregon Office of Economic Analysis said. The report also showed stronger marijuana sales for […]

TODAY WE PAUSE briefly to tip the cap to Mother Earth — or, more specifically, to the people plugging away at the day-to-day jobs of saving her life. People in the Northwest have a particular stake in Earth Day, a now-global event celebrating its 50th anniversary this month. The very first one was organized by […]

The Zags lead the country by scoring 88.8 points per game. The Red Raiders have one of the best defenses in the country. Something has to give Saturday.

The Canadian stock market started off on a strong note, but kept paring gains as the session progressed, and eventually settled flat after briefly slipping into negative territory during the closing minutes.

Anti-vax WAG Taylor Winterstein has said that there is a “strong core of families” in the NRL who are also anti-vaxxers that Australians would be “seriously surprised” about.

Floodwaters that crippled North Queensland's cattle industry have turned the Channel Country further downstream into a landscape of dramatic contrasts.

A Queensland great grandmother recalls the challenges of life on the land as she celebrates a century in the rural town of Biggenden.

A Sunshine Coast couple who launched an ambitious campaign to pay for their dream wedding using Queensland's container refund scheme lock in a venue, celebrant and catering all paid for by the initiative.

Award-winning journalist Allan Clarke returns to his home town with his storytelling skills to help local youth capture the stories of their elders.

Dramatic footage from the NSW Rural Fire Service shows the treacherous conditions firefighters are dealing with at Shark Creek, which remains under emergency alert.

Aussies families identify how COVID-19 has created stress in their relationships. For some, more time under the same roof has brought them closer together.

Warm oceans are encouraging wet conditions for Australia, with the hint of a negative IOD and even a potential La Nina on the horizon.

About 300 people took part in Saturday's Reclaim the Night rally, where women and girls marched through the town to Victory Park, sang and carried banners.

An outpatient program that seeks to equip drug users with the means to stay sober while they're still living in their communities is getting results in South Australia.

It's time to find those woolly socks and dust off the heater — a plunge in temperatures is on the way and it's threatening the record books.

The Bureau of Meteorology's latest forecasts suggest wind gusts about 100 kilometres per hour at Sydney Airport by 6:00am on Tuesday will not ease until mid afternoon.

Elderly residents are lucky to escape injury as the roof is torn off their nursing home, as strong winds continue to wreak havoc across the east coast, fanning bushfires on the state's Mid North coast.

A strong cold front is expected to bring damaging wind gusts, heavy rain, thunderstorms and possible flash flooding to south-west WA, with up to 40 millimetres of rainfall set to be dumped on Perth.

The school holidays are about to get ugly with the Bureau of Meteorology forecasting thunderstorms and some wild weather for Friday, the second last day of the Perth Royal Show.

Strong winds have delayed the final day of climbing Uluru, with hundreds of people waiting to climb the monolith.

A solar car competing in the World Solar Challenge has rolled over on the Stuart Highway, just north of Coober Pedy in South Australia. The driver has been released from hospital.

On the eve of their first finals campaign in three seasons, the Canberra Raiders have received a massive boost with coach Ricky Stuart extending his deal with the club for another three years.

Lambs have died of hypothermia and orchards are ready for a fruitful spring following a snow event in regional New South Wales.

Submitted by Alicia Perkins: As hospitals once again ramp up their services that require donated blood, we encourage you to make this important gift. Versiti Blood Center of Ohio has teamed up with many local businesses to make donating easier by providing community donation locations closer to home. When you donate with Versiti, your donation […]

For investors with a long-term horizon, assessing earnings trend over time and against industry benchmarks is more...