Grand Canyon National Park is officially certified as an International Dark Sky Park by the International Dark Sky Association. https://www.nps.gov/grca/learn/news/dark-sky-designation.htm

Not only did the patients experience high rates of remission, their cognitive function also showed marked improvement as well.

The post Magnetic Brain Treatment Found to Relieve Depression in 90% of Participants With No Negative Side Effects appeared first on Good News Network.

Tanner Howe, a singer-songwriter from Huntington Beach, hoped that his performances would brighten up isolating neighborhoods—and he was 100% correct.

The post Musician Uses Truck Bed to Play Drive-By Concerts for Friends in Quarantine – and the Video is Incredibly Heartwarming appeared first on Good News Network.

The Silvies Valley Ranch is an example of using local innovation to combat the global problem of incised streams on rangelands. Incised channels reduce the flow between water in the channel and water in the surrounding soils, which reduces the vegetation available for wildlife habitat and cattle forage. One of the ranch owners, Scott Campbell, a doctor of veterinary medicine, believes that stream incision is related to the decline of beaver populations; thus, the ranch’s approach to restoration includes efforts to mimic beavers’ influence on the system. He is using an extensive network of low-rise dams made from locally available materials (dirt, gravel, rock, and logs), commonly referred to as “artificial beaver dams” (ABDs). Campbell said that the ABDs on the ranch successfully increased stream connectivity to their floodplains and increased the quantity and forage quality of wet meadows on the property, with no changes in where cattle were grazing. The experiences of this landowner exemplify a unique approach that provides a model for others facing similar challenges to doing restoration on private land. The transformation taking place on the Silvies Valley Ranch has garnered the attention of neighboring ranch owners, some of whom are beginning to experiment with similar restoration technologies. Campbell would like to continue installing structures, but has encountered numerous roadblocks in the permitting process. He has since taken an active role in building legislative support for the ABD technology being used on the ranch, and in facilitating its adoption in other places. This case study—based on interviews with stakeholders involved in the Silvies Valley Ranch project—highlights the social benefits and challenges experienced by one rancher using ABDs as a restoration tool, and provides insights for improving their use in the future. It is part of a larger interdisciplinary study that explores the potential of different beaver-related restoration approaches for achieving watershed restoration and livestock production goals on rangelands in the Western United States.

Eyewitnesses said flames leaped 100 feet into the air above Thursley, which was classed as one of the worst-hit areas during the fires in July 1976

Officers found the body of a woman in her 40s on Friday morning

Participatory (collaborative, multiparty, citizen, volunteer) monitoring is a process that has been increasing in popularity and use in both developing and industrialized societies over the last several decades. It reflects the understanding that natural resource decisions are more effective and less controversial when stakeholders who have an interest in the results are involved in the process. An adequate number of such projects have now been organized, tried, and evaluated such that sufficient information exists to recommend a comprehensive approach to implementing such processes. This handbook was written for managers and scientists in the United States who are contemplating a participatory approach to monitoring biological resources, especially biodiversity. It is designed as a how-to manual with discussions of relevant topics, checklists of important considerations to address, and resources for further information. Worksheets for developing, implementing, and evaluating a monitoring plan are posted on a companion Web site. The subject matter is divided into 3 stages of a monitoring project encompassing a total of 22 topical modules. These modules can be used in any sequence on an ongoing basis. Stages and modules include (1) planning-documentation, goals, indicators, collaboration, decisions, context, organization, participants, communication, incentives, design, and resources; (2) implementation-training, safety, fieldwork, sampling, data, and quality; and (3) followthrough-analysis, reporting, evaluation, and celebrations. Collaboration always involves colearning, so documenting choices, plans, and activities with the Web site worksheets is integral to the manual's effectiveness.

Population growth in Oregon, Washington, and Alaska is expected to increase demand for outdoor recreation on public land. This trend will be tempered by changes in the sociodemographic composition of the population. Among sociodemographic characteristics, different ages and incomes correspond to different participation rates. Although older Americans are participating more, participation is still lower among this group for active pursuits. Hence, as the population ages, demand for passive activities may increase. Low-income people participate at a much lower rate than higher income people in outdoor recreation, and the growing disparity between the wealthy and poor may create inequities in opportunities for participation. State recreation planning documents for Oregon, Washington, and Alaska have identified this issue as a significant concern for recreation providers. Another important factor in recreation trends in the region is ethnicity: different ethnic groups participate in outdoor recreation at different rates, exhibit some different preferences for specific activities, and use recreation sites in different ways. In Alaska, the number of Asian/Pacific Islanders is expected to quadruple by 2025; in Oregon, the Hispanic population may triple by 2025; and in Washington, both these segments of the population may double.

To increase timber production and manage other forest resource values, some land managers have undertaken logging debris and vegetation control treatments after forest harvest. We explored the roles of clearcutting on plant community composition and structure at three sites where logging debris was dispersed, piled, or removed and vegetation was annually treated or not treated with herbicides for 5 years. Without vegetation control, a competitive relation was identified between exotic and native ruderal (i.e., disturbance-associated) species. When exotic ruderal cover changed by 4 percent, native ruderal cover changed by 10 percent in the opposite direction. This relation was independent of site, but site was important in determining the overall dominance of ruderals. Five annual vegetation control treatments increased Douglas-fir (Pseudotsuga menziesii (Mirb.) Franco) growth, but decreased richness and cover of other species at the rate of one species per 10 percent reduction in cover. Debris treatment effects were small and found on only one site.

The firm has responded to a complaint over the barriers at the Chillingham Road store

Charity ambassador and musician Cormac Neeson said: "The line up is as strong as you could ever hope for in the real world and every artist is born and bred right here in NI."

MUSICIANS ON CALL has expanded its Music Pharmacy program, which brings the "healing power of music" to patients in hospitals across the country, sponsored by AMAZON MUSIC and BOSE. … more

His creative and influential ideas spilled over into quantum physics, philosophy and computer science

-- Read more on ScientificAmerican.com

The website is the official source for facts about Sweden. It is publicly funded, with four organisations behind it: the Swedish Institute; the Swedish Government Offices, including the Ministry for Foreign Affairs and the Ministry of Enterprise, Energy and Communications; Business Sweden;...

Information about the Courts and Tribunals Judiciary of England and Wales. Read the latest judgments, news and speeches.

Embargoed until 8 a.m. CT/9 a.m. ET, Tuesday, March 17, 2020   DALLAS, Tuesday, March 17, 2020 – As the global impact of COVID-19 rises, the scientific community continues to evaluate the clinical impact and health care needs of patients with...

Sala de prensa de la AHA sobre el COVID-19 DALLAS, 6 de abril del 2020— La American Heart Association cree que el hecho de permitir prematuramente que estudiantes del área de la salud proporcionen cuidado de pacientes durante la pandemia del COVID-19...

WASHINGTON, D. C., 3 de abril del 2020— Hoy, más de 200 organizaciones de protección de pacientes, médicas y de salud pública enviaron una carta a altos funcionarios de la administración de Donald Trump, en la cual se apela a la Administración para que...

DALLAS, 8 de abril del 2020— El impacto mundial del COVID-19 continúa aumentando y, cada día, la comunidad científica aprende más sobre el efecto y la interacción de las enfermedades cardiovasculares con el COVID-19. Juntos, la American Heart Association...

DALLAS, 14 de abril del 2020. La American Heart Association ha extendido la fecha límite para solicitudes de becas individuales y becas escolares ofrecidas a través del Kids Heart Challenge y el American Heart Challenge hasta el 30 de junio. Debido a que...

Aspectos destacados de las declaraciones: Los factores sociales adversos, como el estado de los seguros, la inseguridad alimentaria, la falta de fondos para medicamentos y otros, pueden causar resultados clínicos negativos de la insuficiencia...

Research Highlights: Mechanical clot removal alone may be as effective as combining it with intravenous (IV) clot-busting medications for stroke patients.    Mechanical clot removal alone reduced the risk of brain bleeding in this Japanese...

  DALLAS, 23 de abril del 2020 — A medida que el distanciamiento social mantiene a las familias separadas, es posible que muchos de los que cuidan de un padre o un ser querido que padece insuficiencia cardíaca se pregunten cómo...

Even before the coronavirus pandemic, telemedicine was gaining popularity. In 2018 and 2019, online searches for telemedicine increased nearly 25 percent. Healthcare organizations had already turned to telemedicine to deliver care and increase accessibility. In a March 2020 survey, 41 percent of healthcare providers said that they were using telemedicine technology, an increase from 22 percent in 2018. When...

WooCommerce 4.0 is here! Read all about the new, streamlined dashboard, time-saving store management tools, and enhanced reporting and analytics.

The post WooCommerce 4.0: Better, More Efficient Store Management appeared first on WooCommerce.

Summer is going to look a bit different in the Corridor this year as many, long-cherished events are being canceled or postponed. And the organizations that run those events want you to know they...

“It is hopelessness even more than pain that crushes the soul.”

-William Styron.

In my 35 years on earth I’ve heard the term “unprecedented” used only a handful of times to describe global events. I don’t know about you, but as I write this tucked away in my basement where I’ve been working from for the last two months, I’m pretty darn sick of the word “unprecedented.”

All of us are now experiencing the culmination of a global pandemic, a painful economic reality and the challenge of stay at home orders.

Social connectedness is one of the most important aspects of the human condition. During times of crisis we come together, not apart. Time spent with friends and family is immensely important to our well-being, heck, even time spent with co-workers has its benefits. Physical proximity to our supports matters, it matters a lot.

For those of us with a history of mental health struggles (and without), this “unprecedented” crisis has presented unique challenges to our well-being: uncertainty, fear, and a sense of hopelessness. The daily loss of life, the 24-hour news cycle with its constant focus on the pandemic, and a massive economic crisis. Good news is hard to come by.

The psychologist and suicidologist Edwin Schneidman coined the term “psychological pain” to describe “how much you hurt as a human. It is mental suffering; mental torment.”

All of us hurt right now.

During times of stress, it is not uncommon to experience thoughts of suicide.

The vast majority of individuals who experience suicidal thoughts or behaviors go on to live healthy and full lives. During this time where many of us have already felt financial impacts or experienced increased depression, the possibility of experiencing suicidal ideation or behavior increases.

Support is available, help is out there.

1. Call the National Suicide Prevention Lifeline (1-800-273-8255) to immediately speak with a counselor (24/7/365). If you are thinking about suicide, are worried about someone else, or would like emotional support, the Lifeline network is available.

2. Mobile Crisis Outreach: If you live in Eastern Iowa you can call the Iowa Helpline (855-581-8111) to receive free telehealth services from a mobile crisis counselor. Counselors will connect with you via telehealth to provide screening, immediate intervention and guidance.

There are several warning signs that can help you determine if you or a loved one is at risk for suicide. These include:

• Talking about wanting to die or to kill themselves

• Looking for a way to kill themselves, like purchasing a firearm

• Talking about feeling hopeless or having no reason to live

• Talking about feeling trapped or in unbearable pain

• Talking about being a burden to others

3. Social distancing does not mean social isolation. While we can’t be physically with many of our friends and family, we should still make an effort to connect with them. If there is someone you’ve worried about in the past, a friend or family member with a history of depression, now is an important time to reach out and see how they are doing.

4. Take care of what you can. I’ve noticed with many of the clients I work with (and myself) that as social distancing and stay at home orders have been in place for nearly two months now, sleep habits and routines have started to change. I find myself staying up later and sleeping in later. Sleep and mental health go hand in hand. It’s hard to feel good when we are not sleeping, or if our sleep cycles are significantly disrupted. Depression can drive us to want to sleep away the days. This is something to be avoided and tends to compound our feelings of loneliness.

5. Connect with your mental health providers. Connecting with a mental health provider remains an important component of support. Let your provider know that you’ve had thoughts of suicide so you can work collaboratively on treatment and support.

6. Know that you matter. Individuals who experience thoughts of suicide and/or depression will often report that they feel or think their lives don’t matter. As Kevin Hines, the motivational speaker and suicide prevention advocate says “You matter to people you haven’t even met yet.” Treatment for suicide ideation and behavior is very effective. You are worth it. The vast majority of people who experience suicide ideation go on to live healthy and fulfilling lives.

“Look well into thyself; there is a source of strength which will always spring up if thou wilt always look.”

-Marcus Aurelius, The Meditations.

Drew Martel (LISW, CADC) is the director of crisis services at Foundation 2 and has been involved in several suicide risk assessments, as well as provided trainings across the state on suicide intervention and treatment. Drew also provides individual therapy at Meadowlark Psychiatric Services and is an adjunct instructor at the University of Iowa School of Social Work.

I’m Steven the electrician, not the politician. I’m asking for your vote and support in getting there.

• Never held public office in Iowa or Illinois, check my competitors.

• No endorsements so no worries about draining that swamp here.

• Pro-life and Birthright supporter.

• 2nd Amendment and gun rights supporter.

• Legal immigration and revision of laws.

• Supporter of the constitution as written.

• Israel supporter.

• Farm owner and advocate for agriculture and fair trade.

• Check who funded my campaign, I owe no favors or pay backs.

• Still working hard for my family and married 40 years.

• I will budget your money if elected, and no tax increases.

• End of government overreach.

• Proud of our military and their never-ending service.

I’m not the establishment, but your candidate.

Steven Everly is a candidate in the Republican primary for Iowa’s 2nd Congressional District.

GetLEI is an official and verified Registration Agent (RA) by Global Legal Entity Identifier Foundation (GLEIF). We provide a complete list of services related to LEI issuing, such as New registration, Renewal of expiring codes and transfer. Search and Lookup … Continued

The post Official LEI Registrar appeared first on WeLoveWP.

Summer is going to look a bit different in the Corridor this year as many, long-cherished events are being canceled or postponed. And the organizations that run those events want you to know they aren’t any more happy about it than you are.

The organizers of these events are having to make unprecedented, tough decisions.

“Cancellation is not a good word in our business,” said Chuck Swanson, Building a Legacy executive director of Hancher. “It is something that we really don’t want to do and it takes a lot for us to come to that.

“We live for the live performance and bringing the artists and audiences together. That’s the happiest time for me, so none of these decisions have been easy.”

Hancher has had to cancel numerous upcoming events in the past few months that would have brought to Iowa City in artists from all over the country and the world. It also is holding off announcing its upcoming season — which it typically would be doing at this time of year.

this isn’t something the staff has faced since the floods of 2008 and because they book events so far in advance they are confronting additional challenges.

“You know there’s so much that goes into a show before it happens,” Swanson said. “I just think of all the anticipation, booking the artists, advancing the show, setting ticket prices, advertising and then ticket sales.

“It’s like a farmer who does all this work to get his crops ready and then at the end of the season ends up with nothing to harvest.”

He noted Hancher has been reaching out to its booked performers and, in some cases, have had performers reach out to them to cancel upcoming shows.

The significant time and resources that go into planning large-scale events is the main factor in necessitating cancellation discussions and decisions at many organizations.

“Many logistical items have to be coordinated, from renting shuttles to scheduling volunteers and staff. Initial planning for some events begins as early as 12 to 18 months in advance and proceeds all the way up to the day of the event,” said John Myers, Indian Creek Nature Center executive director.

Citing the center’s annual Maple Syrup Festival, he noted food represents a significant cost and often cannot be saved or reused.

“We have had to be mindful of the financial resources available to us and ensure that we wisely manage those to ensure (the center) can emerge from this pandemic as a functioning and healthy organization,” he said.

“None of the decisions to cancel events or how to handle subsequent financial losses are easy and they challenge everyone,” Myers added. “As our whole lives have been upended, it makes even the simplest of decisions harder and that takes an impact on morale.”

He acknowledged staff members aren’t the only ones feeling the strain.

“We have a significant core of volunteers who are no longer able to give their time, which also creates a strain on morale and increases the amount of work that needs to be done when we return,” he pointed out.

Another primary factor is what is allowed and considered safe by the city, state and Iowa Department of Public Health.

“At this point, only allowing groups of 10 or less is a far cry from the thousands or people we usually see at the Iowa Arts Festival,” said Lisa Barnes, executive director of Summer of the Arts in Iowa City, which produces the Iowa Arts Festival.

“The governor has announced that reopening the state will be done in stages, and based on what we’ve found from other events around the country, concerts and large festivals will be the last to open,” he noted.

Summer of the Arts announced just last week that the Iowa Arts Festival would not take place this year, a month in advance of the event.

“We needed to make a decision so that we can move forward with alternative plans,” Barnes said, noting the organization has had questions about the Iowa City Jazz Festival, scheduled for July 3 through 5 and added a decision regarding that festival and July programming will be made by mid-late May.

“We also needed to make the decision far enough out to be able to work with our performers and cancel the agreements,” she said.

On Wednesday, Gov. Kim Reynolds loosened some but not all of the social-distancing restrictions for the remaining 22 counties she had put in place.

Discussions about the future of these events have been happening for weeks for many organizations, highlighting they are not taken lightly.

Carissa Johnson, executive director of the Cedar Rapids Freedom Festival, said conversations about the future of this year’s event started in mid-March, right around the time the Cedar Rapids SaPaDaPaSo Parade announced its cancellation for 2020.

“We plan year ’round for the two- to three-week festival,” Johnson explained.

“Our planning really ramps up in April and May, and we have many more costs associated with producing the festival the closer we get to the start. In order to protect our time and resources, we elected to cancel before we had more costs and variables to consider.”

As for who is making the final decision, organizations said many stakeholders are involved. Barnes said the decision on the Iowa City Arts Festival, for example, included staff, the board of directors, festival planning committees, the city of Iowa City and Johnson County Public Health, along with input from some of the vendors, artists and performers.

Tapping into experts in those public health field has been key as well.

“We have these assets, people, at the University (of Iowa), that have been really helpful as we make these decisions about canceling and as we prepare to think about reopening,” Hancher’s Swanson said.

The Freedom Festival include staff and board members in discussions, with recommendations from Linn County Public Health and the city of Cedar Rapids, factoring in the health, safety and well-being of the community.

“We are just as heartbroken as the rest of the community, but this decision was to protect our community as much as possible,” Swanson said.

“This community is a family and we will all get through this together and come back stronger next year.”

Myers noted organizations such as the Indian Creek Nature Center are also rely on advice from national associations, such as the American Alliance of Museums, and discussions among the leadership of many local cultural groups.

“For many events, we have also reached out to participants to gather their input and comfort level of attending once we are able to reopen,” Myers said.

The financial effects of having to cancel is stressful for organizations, too.

“Financially, this has been a hard time for the Nature Center to endure,” Myers pointed out. “We’ve had over 100 different programs, events and facility rentals canceled between March 15 and April 30, and our losses are currently over $250,000. As we approach the summer, there are a number of other events we continue to review, including our popular summer camps.”

The Nature Center has postponed a national conference to be held there in September — due to indications of low participation — for peers from around the nation who run not-for-profit and government nature centers.

“We are losing thousands of dollars in vendor fees and sales receipts because we had to cancel,” said Barnes, of Summer of the Arts.

“We have sponsors tied to certain events, like the Iowa Arts Festival, that in some cases want to carry over their support to next year, which impacts our fundraising for this year and next.”

She noted her group already has been made aware of funding that won’t be coming in from some sponsors next year due to the financial impact those organizations are facing as well.

And that can be tough.

“When we cancel, our whole staff is involved — from the box audience and public engagement folks to the technical production team and our front-of-house staff,” Swanson said.

“Our communication is key in talking through it all and then sharing clear messages with our audiences, especially in terms of refunds. But we’ve been encouraged by so many generous friends of Hancher donating their ticket purchase price back to us.”

While disappointment still is thick in the air, organizations don’t plan to abandon their missions and is keeping an eye on serving the public.

“This is a challenging time for everyone, and our board and staff is committed to finding creative and non-traditional solutions to ensure the Freedom Festival’s return,” Johnson said. “The community and our stakeholders have been tremendous supports of the Freedom Festival and we believe they will continue to do so in the future.

“We ask for understanding and patience as we try to navigate this crisis and what we can still provide for our community.”

Freedom Festival buttons will be sold this year as they’ve already been made, and “It’s a way the community can show their support,” Johnson said.

Barnes agreed and noted the Iowa Arts Festival committee is working on ways to support the performers, artists and vendors they had scheduled by trying to develop some virtual opportunities for engagement.

While the show, or events, might not go on, organizers said they very much want to remain connected to their audiences and attendees.

“I want to make sure everybody knows we care about them and that we’re trying to find ways to stay connected because I think we’re all in this together and the arts are one of the best ways for people to get through difficult times,” Swanson said.

Myers agreed.

“Indian Creek Nature Center will be ready to welcome guests and visitors back to our events as soon as we are able to do so safely,” he said.

“In the meantime, we hope everyone finds peace in nature by taking a hike or bike ride, having a picnic or just enjoying time outside.”

PLAN is a referral network program of 250 volunteer physicians, community clinics, hospitals and other affiliated health care providers who...continue reading

We all know about the new coronavirus that has been affecting hundreds of thousands of people worldwide. And while scientists, researchers, and doctors are all working tirelessly to find a cure for this terrible disease, one thing is for sure: staying home is saving lives. The greatest tool that we have right now to help […]

Read More at Check Out These Famous Logos Practicing Social Distancing – McDonald’s, Mercedes, and More

Suicide attempts common in post-concussion patients, says Dr. Charles Tator of the Canadian Concussion Centre

Patients with disabilities must receive the same level of lifesaving medical treatment from hospitals during the coronavirus pandemic as able-bodied patients, the Trump administration said.

The team at StarTrek.com has released an official infographic video A Timeline Through the Star Trek Universe, Part 1 that includes all of the various TV and Movie series in their inter-connected places on the timeline.

WATCH: A Timeline Through the Star Trek Universe, Part I

The Star Trek saga has boldly traveled through space and time throughout its over fifty year history. Starfleet has visited the distant past, the far future, and even some alternate timelines. Need some context before you dive deep into Star Trek: Discovery and prepare for Star Trek: Picard? We've got you covered in Part One of our video timeline.

Here’s a snapshot of the complete timeline:

Interesting that they call this “Part 1”… Implying that there is much more to come.

From a DataViz design perspective, I’m not a fan of timelines that don’t keep a consistent scale. There’s a huge jump from the Big Bang 13.8 Billion years ago to the year 1900, then the scale is pretty even with 50-year jumps until the year 2150, and then the scale changes again, making the 50-year jumps are much farther apart.

It appears that this is an evolution of an original design project collaboration between Rachel Ivanoff and Jordan Twaddle that was on exhibit at the The Museum of Pop-Culture (MoPOP) in Seattle, Washington in 2016. The new video adds Star Trek: Discovery to the timeline, and video snippets from each of the shows.

Back in 2016, they shared this great animated GIF of the design evolution from the original timeline design process:

I hope they were involved in the development of the new timeline video as well.

Center for Biological Diversity Press Release WASHINGTON – Four commonly used neonicotinoid pesticides can harm bees and other pollinators, according to a new analysis by California’s Department of Pesticide Regulation. The study found that current approved uses of the “neonics” … Continue reading →

Adam thanks you — his blog viewers and supporters — and encourages you to continue the discussion and awareness raising about TBI and PTSD; the battle does not stop here.

By David Suzuki with contributions from Senior Editor Ian Hanington David Suzuki Foundation By 2002, drivers in London, England, were spending as much as half their commuting time stalled in traffic, contributing to much of the city centre’s dangerous particulate … Continue reading →

U.S. Rep. Ken Buck, who is also the chairman of the Colorado Republican Party, was captured ordering a local party official to report false election results in a primary race for a state Senate seat in a leaked audio recording released earlier this week.

We prove a Marstrand type slicing theorem for the subsets of the integer square lattice. This problem is the dual of the corresponding projection theorem, which was considered by Glasscock, and Lima and Moreira, with the mass and counting dimensions applied to subsets of $mathbb{Z}^{d}$. In this paper, more generally we deal with a subset of the plane that is $1$ separated, and the result for subsets of the integer lattice follow as a special case. We show that the natural slicing question in this setting is true with the mass dimension.

We investigate quasistatic evolution in finite plasticity under the assumption that the plastic strain is compatible. This assumption is well-suited to describe the special case of dislocation-free plasticity and entails that the plastic strain is the gradient of a plastic deformation map. The total deformation can be then seen as the composition of a plastic and an elastic deformation. This opens the way to an existence theory for the quasistatic evolution problem featuring both Lagrangian and Eulerian variables. A remarkable trait of the result is that it does not require second-order gradients.

This paper is devoted to the study of the singularity phenomenon of timelike extremal hypersurfaces in Minkowski spacetime $mathbb{R}^{1+3}$. We find that there are two explicit lightlike self-similar solutions to a graph representation of timelike extremal hypersurfaces in Minkowski spacetime $mathbb{R}^{1+3}$, the geometry of them are two spheres. The linear mode unstable of those lightlike self-similar solutions for the radially symmetric membranes equation is given. After that, we show those self-similar solutions of the radially symmetric membranes equation are nonlinearly stable inside a strictly proper subset of the backward lightcone. This means that the dynamical behavior of those two spheres is as attractors. Meanwhile, we overcome the double roots case (the theorem of Poincar'{e} can't be used) in solving the difference equation by construction of a Newton's polygon when we carry out the analysis of spectrum for the linear operator.

The article is devoted to the expansion of iterated Stratonovich stochastic integrals of arbitrary multiplicity $k$ $(kinmathbb{N})$ based on the generalized iterated Fourier series. The case of Fourier-Legendre series as well as the case of trigonotemric Fourier series are considered in details. The obtained expansion provides a possibility to represent the iterated Stratonovich stochastic integral in the form of iterated series of products of standard Gaussian random variables. Convergence in the mean of degree $2n$ $(nin mathbb{N})$ of the expansion is proved. Some modifications of the mentioned expansion were derived for the case $k=2$. One of them is based of multiple trigonomentric Fourier series converging almost everywhere in the square $[t, T]^2$. The results of the article can be applied to the numerical solution of Ito stochastic differential equations.

The main goal of this paper is to achieve a parametrization of the solution set of the truncated matricial Hausdorff moment problem in the non-degenerate and degenerate situation. We treat the even and the odd cases simultaneously. Our approach is based on Schur analysis methods. More precisely, we use two interrelated versions of Schur-type algorithms, namely an algebraic one and a function-theoretic one. The algebraic version, worked out in our former paper arXiv:1908.05115, is an algorithm which is applied to finite or infinite sequences of complex matrices. The construction and discussion of the function-theoretic version is a central theme of this paper. This leads us to a complete description via Stieltjes transform of the solution set of the moment problem under consideration. Furthermore, we discuss special solutions in detail.

Large transformer-based language models have been shown to be very effective in many classification tasks. However, their computational complexity prevents their use in applications requiring the classification of a large set of candidates. While previous works have investigated approaches to reduce model size, relatively little attention has been paid to techniques to improve batch throughput during inference. In this paper, we introduce the Cascade Transformer, a simple yet effective technique to adapt transformer-based models into a cascade of rankers. Each ranker is used to prune a subset of candidates in a batch, thus dramatically increasing throughput at inference time. Partial encodings from the transformer model are shared among rerankers, providing further speed-up. When compared to a state-of-the-art transformer model, our approach reduces computation by 37% with almost no impact on accuracy, as measured on two English Question Answering datasets.