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A Linear Time Algorithm for the Maximum Overlap of Two Convex Polygons Under Translation

arXiv:2504.18352v2 Announce Type: replace Abstract: Given two convex polygons $P$ and $Q$ with $n$ and $m$ edges, the maximum overlap problem is to find a translation of $P$ that maximizes the area of its intersection with $Q$. We give the first randomized algorithm for this problem with linear running time. Our result improves the previous two-and-a-half-decades-old algorithm by de Berg, Cheong, Devillers, van Kreveld, and Teillaud (1998), which ran in $O((n+m)\log(n+m))$ time, as well as...

arXiv CS 6d ago

Republicans are trying to kill science in this country

Researchers say the Trump administration is finding new ways to punish science Standing in his laboratory, Harvard professor Sean Eddy gazes at a row of vacant work stations. More than a year ago, this lab was filled with over a dozen researchers. On a given day they might be working independently on analyzing genomic sequencing or gathered around the group table, drinking coffee and helping each other troubleshoot questions about genomic data from different species.

Hacker News 10d ago

Front desk vibes, back alley dreams: Feast your eyes on Denmark’s 2026 Mullet Championship

Front desk vibes, back alley dreams: Feast your eyes on Denmark’s 2026 Mullet Championship When life gives you lemons, grow a mullet. The 2026 Mullet Championship took place on Saturday in Copenhagen, where 12 well-coiffed competitors fought for the title of most powerful mullet...

Euronews 2d ago

World Cup Group I guide

World Cup 2026 Group I guide - fixtures, schedule, standings and odds for France, Senegal, Iraq and Norway World Cup Group I includes 2022 runners-up France, Senegal, Iraq and Erling Haaland's Norway; matches to be played in US cities New Jersey, Philadelphia and Massachusetts, plus Canada's Toronto Tuesday 2 June 2026 13:27, UK World Cup Group I features 2022 runners-up France, Senegal, Iraq and Norway. World Cup Group I fixtures All kick-off times are BST World Cup Group I table World Cup...

Sky Sports Football 8d ago

‘Ugly in a beautiful way’: Crowd cheers Denmark’s 2026 Mullet Championship

‘Ugly in a beautiful way’: Crowd cheers Denmark’s 2026 Mullet Championship Competitors in Saturday’s championships were evaluated on their cuts’ style, uniqueness, and overall performance and ‘mullet moves’ - Bookmark The iconic 'business in the front, party in the back' hairstyle took centre stage in Copenhagen on Saturday, as a boisterous Danish crowd celebrated the enduring, if often maligned, mullet. Denmark’s raucous 2026 Mullet Championship, held on an outdoor stage in the capital,...

The Independent World 3d ago

What are the FIFA World Cup 2026 squads for all 48 teams?

What are the FIFA World Cup 2026 squads for all 48 teams? From icons bidding adieu, to upcoming stars looking to make their mark on the biggest, Al Jazeera lists all the players. The countdown to the FIFA World Cup 2026 has entered the single-figure mark, with the tournament getting under way in nine days in Mexico City.

Al Jazeera 8d ago

Which UK-based players are heading to the 2026 World Cup?

World Cup 2026: Which Premier League, EFL and Scottish Premiership players are heading to this summer's tournament Teams had to submit their squads for the 2026 World Cup squads by Tuesday June 2; Mexico host South Africa in the tournament opener on Thursday June 11; the 104-game tournament ends at MetLife Stadium in New Jersey on Sunday July 19 Tuesday 2 June 2026 09:08, UK With the squads now confirmed and locked in, more than 200 players from the UK are heading to the 2026 World Cup....

Sky Sports Football 8d ago

World Cup Power Rankings: Who are the front-runners with 48 hours to go?

It's official: Tuesday marks just 48 hours until the 2026 World Cup kicks off in earnest, when Mexico host South Africa in Mexico City on June 11. As we did at the 100-day and 30-day mark, we're looking at how our global reporters feel about the tournament from a contenders vs. pretenders perspective with just two days until kickoff. We asked our panel of 20 reporters to rank their top 15 favorites from No. 1 (meaning "the trophy is theirs") to No. 15 ("the cool outsider's pick for a...

ESPN 1d ago

PLL/WLL Week 4 preview: Key players, stats and sto...

Week 4 of the 2026 Premier Lacrosse League season is June 5-6, as the league heads to American Legion Memorial Stadium in Charlotte. Four PLL games are on the schedule on Friday and Saturday, and the Carolina Chaos have one game each day. The 2026 WLL season also continues, as the Boston Guard take on the California Palms.

ESPN 5d ago

Mitochondria directly interact with the nuclear pore complex

Abstract Mitochondria regulate cellular processes through direct and indirect interactions with other organelles. A well-studied example has been contact with the endoplasmic reticulum at mitochondrial-associated endoplasmic reticulum membranes1, which control pathways including redox and calcium homeostasis2,3. Recent studies have also reported direct mitochondria–nuclear membrane contacts in cancer cells and yeast that promote pro-survival signalling4,5.

Nature 16h ago