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Mexican President Claudia Sheinbaum let long-mounting frustrations with the Trump administration rise to the surface.

Предложен пространственно-локальный фильтр шума на изображениях и исследованы его метрики в сравнении с такими базовыми алгоритмами фильтрации как медианная, адаптивная медианная, гауссова, билатеральная, фильтр Винера, алгоритм анизотропной диффузии и метод нелокального среднего. Показана высочайшая устойчивость предложенного фильтра к изменению уровня зашумления изображений, в особенности при обработке смешанного шума, состоящего из импульсных помех типа «соль и перец» и аддитивного гауссова шума в различных пропорциях

This story appeared in The Logoff, a daily newsletter that helps you stay informed about the Trump administration without letting political news take over your life. Subscribe here.

Welcome to The Logoff: Remember President Donald Trump’s first-term border wall? It’s still being built — through a pristine Texas national park.

What’s happening? The Trump administration is preparing to build hundreds of miles of roads through Big Bend National Park in southwest Texas as part of its latest border security project, despite a bipartisan outcry over damage to the beloved park. 

Starting last week, bulldozers and heavy machinery began to clear land for the construction of about 200 miles of patrol road, new border barriers, and electronic surveillance measures to cover the park’s 118 miles of shared border with Mexico. The construction is proceeding after the administration overrode environmental laws intended to protect places like Big Bend earlier this year.

What does a border wall look like in 2026? In this case, “wall” is a bit of a misnomer. Despite Trump’s fixation with an actual, physical wall circa 2016, the Trump administration’s current project isn’t always 30 feet high and topped with concertina wire.

Instead, the Big Bend project is part of what the administration has described as a “smart wall,” which will combine stretches of traditional wall elsewhere along the US-Mexico border with patrol roads and vehicle barriers like those planned for the park, all blanketed with surveillance. 

It’s a small retreat from the administration’s original plan for a border wall through Big Bend, which sparked outrage earlier this year. Still, the administration intends to build about 700 additional miles of “primary” wall, spanning all four border states. The whole project is slated to cost around $47 billion. 

Why Big Bend? It’s hard to say. As the New York Times reported earlier this year, the park has long been considered low-priority given its remote location and inhospitable weather. Only about 1 percent of those apprehended for crossing the US-Mexico border have been detained in Big Bend.

And with that, it’s time to log off…

Hi readers, happy Friday! Before we log off today, here’s a story from my colleague Allie Volpe about how to bring some playfulness back into your life and why we’d all stand to benefit from it. You can read it here with a gift link. 

Have a good weekend, and we’ll see you back here on Monday!

• Manager’s deal expires at end of the new season

• ‘They don’t have to worry … I want to be here’

Mikel Arteta has said he is relaxed about his Arsenal contract expiring at the end of the new season and believes his side will need to be better than last year to defend their title successfully.

The Premier League champions will face Enzo Maresca’s Manchester City in the Community Shield in Cardiff on Sunday and are heavy favourites to win back-to-back league titles for the first time since the 1930s. The departure of Pep Guardiola from their traditional rivals City means Arteta is now the Premier League’s longest-serving manager, with the Spaniard having joined in December 2019.

Seriousness of remark made in New York on Friday, and whether it signaled new policy ​position, not clear

Donald Trump has threatened to declare the strait of Hormuz as “a territory of the United States” as his administration struggles to conclude the war with Iran.

During a speech at a police academy on Long Island, New York, on Friday, the US president said he would “pretty soon” designate the waterway – a crucial chokepoint for global trade, through which about a fifth of the world’s seaborne oil supplies typically pass – a US territory.

PM steps up climate response with measures including better water access and support for building farm reservoirs

Farmers must not carry the risks of the climate crisis alone, Andy Burnham has said, as he announced £65m of funding to help them manage the devastating drought.

The prime minister is stepping up his response to the immediate climate crisis after facing a backlash from his own MPs and Labour’s grassroots for not addressing the climate crisis despite wildfires tearing through Britain and a drought affecting food producers. Labour MPs argued Burnham had taken too long to talk about the climate crisis and had not made it a priority.

Raúl Jiménez marked his return to Wolves with the stoppage-time equaliser that saved them from an embarrassing start to their return to the Championship. The Mexico striker, who scored against England during the World Cup, came off the bench to convert a penalty given for handball by Ryan Alebiosu that would have had VAR questioning whether the defender was in the area when Jackson Tchatchoua’s cross struck his arm.

One minor consolation from Wolves’ relegation is that the video assistant referee is no longer their problem. Jiménez, who had bought scarves for all supporters in the South Bank in gratitude for their welcome home, tucked away his first goal in this second spell for the club he graced during their recent heyday before leaving for Fulham.

Lawmakers are pressing for answers amid reports that sailors aboard the San Diego-based carrier have endured food shortages, plumbing failures and severe fatigue.

• Swiss runner sets 1:54.81sec championship best

• Femke Broeders-Bol secures bronze in 1:55.54

When Audrey Werro was a child, she was so painfully shy that her father told her she had to become a lion every time she raced. In a European women’s 800m final for the ages, she followed that advice to the letter.

As the 22-year-old Swiss superstar came around the final bend, she could feel Britain’s Keely Hodgkinson on her shoulder, waiting to strike. The Dutch flyer Femke Broeders-Bol was also close enough to dream too. But Werro was ready to flash her teeth.

Seriousness of remark made in New York on Friday, and whether it signaled new policy ​position, not clear

Donald Trump has threatened to declare the strait of Hormuz as “a territory of the United States” as his administration struggles to conclude the war with Iran.

During a speech at a police academy on Long Island, New York, on Friday, the US president said he would “pretty soon” designate the waterway – a crucial chokepoint for global trade, through which about a fifth of the world’s seaborne oil supplies typically pass – a US territory.

Network wants to serve Jared Kushner, Ivanka Trump and Donald Trump Jr after president sues over January 6 documentary

The BBC is trying to subpoena Donald Trump’s children as it builds its defense against the president’s defamation lawsuit centered on a documentary on the January 6 insurrection.

In a motion filed on Friday, the BBC sought authorization to serve Trump’s two eldest children, Donald Trump Jr and Ivanka Trump, and son-in-law Jared Kushner, with subpoenas for testimony and their records on the events of 6 January 2021.

Win is significant for region’s premier, Doug Ford, who blames protected zones for city’s traffic ills

The Ontario government is now free to rip out Toronto’s bike lanes on its busiest streets after the region’s top court ruled in favour of the province on Friday, overturning a lower court’s decision that decreed removal would violate constitutional rights.

The win is significant for Ontario’s premier, Doug Ford, and his government, who have long railed against Toronto’s bike lanes, blaming the protected zones for the city’s traffic ills.

Всем привет я Артур Валиев, пятничная статья, поехали.

Я каждый день кидаю заметки не в специальное приложение, а в Избранное в Telegram — просто потому, что там приятнее писать: пружинный отскок сообщения, ноль лагов, мгновенный отклик клавиатуры. Это натолкнуло меня на мысль — а что, если взять не идею мессенджера, а буквально инженерный подход Telegram к рендерингу и анимациям, и применить его к заметкам?

В статье — сначала идея: почему классические заметки-стикеры умерли как формат, и как выглядела бы лента заметок на движке уровня Telegram. Дальше — техническая часть с кодом: виртуализация списка, spring-анимации через transform/opacity вместо layout-свойств, оптимистичный рендер, отказ от polling, полнотекстовый поиск через SQLite FTS5. И под конец — честный разбор, почему нативный C++ структурно обходит любой JS-рантайм: отсутствие пауз GC, плотность памяти, JIT-разогрев, реальная многопоточность без сериализации.;)

We should, in theory, be happy. Thanks to our phones, we can do practically anything – listen to our favorite bands' entire discographies, have extravagant meals delivered to our door, travel the world through an endless scroll. So why do so many of these experiences feel so joyless? Why do so many of us feel so empty all the time? Hosts Kai Wright and Carter Sherman wrestle with these questions with academics Michèle Mendelssohn and Charlie Tyson, who argue that we are living in an era of decadence without pleasure. While decadence always arises in times of extreme inequality, they say that tools like AI and GLP-1s reveal how we've lost our ability to truly enjoy things – and, ironically, reclaiming decadence may help us finally have fun.

• Michèle Mendelssohn and Charlie Tyson’s Guardian essay: Why does everything feel joyless? Welcome to the age of decadence without pleasure

It was a dramatic twist to the federal case over the killing of UnitedHealthcare’s Brian Thompson – but state charges are still pending

When Luigi Mangione stepped into a Manhattan federal courtroom shortly after 11am on Friday, his demeanor was less debonair than at other recent court proceedings.

The 28-year-old, wearing tan jail scrubs instead of natty menswear, walked with hands behind his back and ankles shackled en route to the defense table. Mangione sat and then studied a piece of paper alongside his attorney.