Miscellaneous
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6 hours agoThe deep mathematics of why 10 + 11 + 12 = 13 + 14
10, 11, and 12 are the only consecutive integers whose squares sum equals the squares of 13 and 14 combined.
The EU's competition watchdog fined the US tech giant Google €2.95 billion earlier this month for breaching competition laws in the digital advertising technology market - giving it 60 days to fix its conduct. So what could Google do next? The von der Leyen Commission finally flexed its antitrust arm on big tech earlier this month - slapping Google with a €2.95 billion fine for violating competition rules in the AdTech market for over a decade.
Sinn Féin leader Mary Lou McDonald raised the heartbreaking case of nine-year-old Harvey Morrison Sherratt, who died in July. "He was failed by the Government. Harvey's case is not an isolated case. Such failures are shamefully a hallmark of your Government," she told Taoiseach Micheál Martin. Social Democrats leader Holly Cairns also raised the case, slating the Government for painfully slow progress on the issue of disability. "Sixteen thousand children are overdue an assessment of need, essential therapies are non-existent and hundreds of children left in agony waiting for spinal surgery," she said.
Gardaí held a video call with Daniel Aruebose's father from the wasteground where his suspected remains were found as part of their efforts to pinpoint where the little boy was buried.
National Police officers have arrested 19 people on suspicion of murders and torture on board a cayuco rescued on August 24. The vessel was adrift in waters off Gran Canaria and 248 migrants were in it, although one subsequently died in hospital. Several migrants who were travelling in it spoke of murders, wounding and torture committed during the crossing. The disappearance of at least 50 people thrown into the sea by the alleged people smugglers is also being investigated.
In terms of diplomatic optics, matching as a pair communicates stability and solidarity, especially when standing next to another power couple like Charles and Camilla," she said.
we're proposing some changes to the structure and ways of working which will impact around 900 colleagues, with potentially 600 colleagues leaving Sky if the proposals go ahead. This includes moving more work to our trusted global outsource partners so that we can be more flexible and responsive in how we operate.
The Swiss city was found to be the most expensive city to live in on Earth, according to a 2025 mid-year cost of living index from Numbeo, a crowd-sourced database. The index "measures the relative prices of consumer goods and services-including groceries, dining, transportation, and utilities-but excludes housing costs like rent or mortgage payments." The site uses New York City as its baseline city (with an index value of 100) to generate cost of living index numbers for other cities around the world. Relative to that, Zurich scored 112.5, which the company said "suggests that everyday expenses" are higher than in New York.
A 30-year veteran of comedy stages around the world, Auggie Smith has been seen on Comedy Central, Last Comic Standing, and can be heard regularly on The Bob and Tom Show. His long career has included being voted Club Comic Of The Year at the Aspen Comedy Festival and winning both the prestigious Seattle and San Francisco International Comedy Competitions.
The male cyclist was discovered unresponsive at the scene at Batterstown, Ballivor, on Friday, September 12. He was taken to Connolly Hospital Blanchardstown where he was subsequently pronounced deceased. A man, aged in his 40s, who was arrested as part of the investigation, is currently detained at a Garda station in the Eastern Region where he can be detained for up to 24 hours.
After Germany beat Turkey to win the Eurobasket crown on Sunday, there can be no doubt that the country is enjoying its greatest-ever era of basketball. Just two years after winning the World Championship and one year on from Germany's women winning gold in the 3x3 at the Paris Olympics, the glory days continued as Franz Wagner, Dennis Schroder and Maodo Lo helped Germany take the EuroBasket.
In 2025, subnetworks are emerging that revive the impetus of channel factories with some new details that vastly increase their potential. They are natively interoperable with Lightning and achieve greater scale by allowing a group of participants to open a shared multisig UTXO and create multiple bilateral channels, which reduces the number of on-chain transactions and improves capital efficiency. Achieving greater scale by reducing complexity, Ark and Spark perform the same function as traditional channel factories with new designs and additional capabilities based on shared UTXOs.
Enter Phil Salt, ready to headline once again. The opener followed his 141 against South Africa last Friday with 89 off 46 balls as England secured victory in the first of three Twenty20 internationals, with 14 balls to spare. Ireland's bowling effort fell way short of their impressive work in the first half, when Harry Tector and Lorcan Tucker combined for a third-wicket partnership of 128 off 11.2 overs, the former top-scoring with an unbeaten 61 off 36 balls.
MIT police are investigating numerous instances of hateful speech and images around campus, President Sally Kornbluth said in a letter to the MIT community Friday. Kornbluth said the incidents - two hand-drawn swastikas, a sign wishing violence on a conservative non-profit, and cases of graffiti and an email list of "messages celebrating violence" - do not seem to be connected.
A coroner has called on military fitness to be "decoupled" from career progression within the Defence Forces because of the fear of personnel speaking out if they were experiencing physical or psychological health problems.
We must a sober look at the reality in order to choose the right path for our country, he says. He stresses that our freedom is under threat with growing sense of insecurity, with Germany's economic model also under pressure from a new form of protectionism. He also warns against political forces at home and abroad questioning social cohesion and undermining German democracy.
As uncrewed aircraft, drones rely on electronic systems to function and, often, radio frequency (RF) connections guide them. Favored techniques to neutralize drones include "spoofing" and jamming. Spoofing involves beaming fake radio signals to the drone to misdirect it. RF jamming works to cut off communications with the base of operation. But militaries are finding new ways to counter these methods.
European markets opened higher on Wednesday, supported by a rebound in SAP and growing investor optimism ahead of the Federal Reserve's policy decision later in the day. However, the market could remain at risk as investors could remain cautious. SAP led gains in the index, advancing nearly 4% in early trading after upbeat management commentary helped allay recent concerns over its cloud segment.
We are working closely with key partners and we absolutely understand the concern of local people. We need the public's help to bring us information on who has carried out this horrendous attack. I can reassure you that we are doing everything possible to bring those responsible to justice on this young woman's behalf.
Access to O'Connell Street in Dublin city centre has been blocked by a protest this afternoon. Protesters, who were seen waving Irish flags, planned to march to Leinster House on Kildare Street in Dublin 2. It comes on the first day of the Dáil resuming after the summer break. Therefore, Kildare Street remains closed off due to possible protests and will reopen at midnight on Wednesday.
The European Union's foreign policy chief, Kaja Kallas, has put forward a proposal to curb trade with Israel and impose restrictions on far-right Israeli ministers over the war in Gaza. It's questionable whether there will be a majority of states in the 27-member bloc in favor of the measures, although the EU has come under criticism for failing to pressure Israel.
Ukrainian President Volodymyr Zelenskyy said that Russia had launched more than 3,500 drones and nearly 190 missiles against Ukraine so far in September, describing the onslaught as an aerial terror operation. Russian forces carried out a large attack on Ukraine's southeastern city of Zaporizhzhia, killing a 41-year-old man, injuring at least 18 people and triggering several fires, regional Governor Ivan Fedorov said.
"I pre-batch sangria all the time ... BUT I leave out the fruit until serving," Henderson says. "Citrus will turn the sangria super bitter, thanks to the pith. Berries, if using, will get mushy and gross. And orchard fruits will turn brown and mealy." The fridge will preserve the freshness of the fruit juices, so Henderson recommends "mix[ing] your wine and spirit and even the juice up to a day before, but add the fruit last minute."
Following announcements from Ireland, Slovenia, the Netherlands and Iceland, Spain became on Wednesday the first country among the "Big Five," the five largest contributors to the Eurovision Song Contest, to officially declare its decision to boycott the 2026 event to be held in Vienna from May 12-16, if Israel's participation goes ahead as planned. The country's withdrawal was approved by a majority of the board of directors of Spanish state broadcaster RTVE, with 10 votes in favour, four against, and one abstention.
Ukraine's war is starting to go below ground. Russian troops were recently found attempting to infiltrate battle lines in Kharkiv by crawling through an underground pipe, with Kyiv's forces trying to stop them by flooding or fortifying such ducts. Ukrainian observers publicly identified the pipeline tactic last week in Kupiansk, a city in the Kharkiv region that has seen heavy fighting along the front lines.
This summer was one of the hottest on record in Europe, with temperatures soaring above 46 degrees Celsius (114 degrees Fahrenheit), triggering wildfires and causing the deaths of thousands of people, particularly among the elderly. Climate change is likely to be responsible for 68 percent, or about 16,500, of additional heat-related deaths, according to new research from the Grantham Institute Climate Change and the Environment in London, United Kingdom.