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Tuchel shrugs off pitch worries, poor weather ahead of tune-up game against New Zealand
Tuchel shrugs off pitch worries, poor weather ahead of tune-up game against New Zealand TAMPA, Florida, June 5 : England's World Cup preparations have been hit by concerns over a potentially poor pitch for Saturday's friendly against New Zealand as well as unexpectedly wet weather in Florida, though manager Thomas Tuchel said he would stick to his plans. England are using the match in Tampa, the first of two warm-up games before their Group L opener against Croatia on June 17 in Dallas, to...
Recursive Jump Operators and Optimal Proof Systems
Announce Type: new Abstract: We study the relationship between the existence of optimal proof systems and recursive jump operators, two central open problems in proof complexity. For a set L, an optimal proof system is a strongest proof system in terms of proof length, whereas a recursive jump operator uniformly transforms any proof system for L into a stronger one with respect to proof length, thereby witnessing non-optimality. It is clear that the existence of a recursive jump operator for...
Test-case reducers are underappreciated debugging tools
Test-case reducers are less well known than they should be, and those who are aware of them don’t always realise the variety of ways we can use – perhaps even abuse! – them. In this post, I’m going to explore some of the things I’ve learnt while using these wonderful tools. I’ll start at the basics, because the idea is so simple that it can be hard to believe it works.
Mexico vs South Africa: World Cup 2026 opening game – teams, start, lineups
Mexico vs South Africa: World Cup 2026 opening game – teams, start, lineups The highly-anticipated 2026 World Cup kicks off at the iconic Estadio Azteca on Thursday, as cohosts Mexico face South Africa in a replay of the 2010 edition’s opener. Who: Mexico vs South Africa
Tuchel: England 'not favourites' for World Cup
England boss Thomas Tuchel says Three Lions 'not favourites' for tournament England boss Thomas Tuchel: "We can't be one of the favourites as we haven't won it for so long. There are proven winners within the tournament. These are the favourites."
Harry Kane helps England stutter past New Zealand in World Cup heat test - 5 talking points
Harry Kane helps England stutter past New Zealand in World Cup heat test - 5 talking points ENGLAND 1-0 NEW ZEALAND: Harry Kane's header on the stroke of half-time the difference as Thomas Tuchel gives run out to 22 players in World Cup warm-up in the Tampa sun England laboured to victory over New Zealand in their first friendly warm-up match for the World Cup. The Three Lions spent the week acclimatising to the sweltering conditions in Florida but could only treat the 25,889 fans in Tampa...
Why England players wanting a transfer face a logistical NIGHTMARE
England's World Cup schedule: Why it's a logistical nightmare for Three Lions players wanting a transfer this summer under Thomas Tuchel's rules Several England players are subject to transfer speculation this summer, including Elliot Anderson, Morgan Rogers, John Stones and Marcus Rashford; Thomas Tuchel's rules about securing transfers during the World Cup have created logistical nightmares for those players wanting moves... Friday 5 June 2026 23:54, UK Thomas Tuchel says he does have some...
‘Milestone’: Macron opens Paris monument honouring Rwanda genocide victims
‘Milestone’: Macron opens Paris monument honouring Rwanda genocide victims Macron, who has acknowledged French ‘responsibility’ in the genocide, called the memorial a reconciliation ‘milestone’. French President Emmanuel Macron has presented a memorial in Paris dedicated to the victims of the 1994 Rwandan genocide, as France pursues closer ties with the East African country and continues to grapple with its role in the historic atrocity. Speaking at the inauguration event alongside his...
Ghana delay naming World Cup squad
Ghana delay naming World Cup squad CARDIFF, June 1 : Ghana plan to announce their World Cup squad on Tuesday, among the last countries to do so as they juggle last-minute injury concerns before finalising their 26-man selection, officials said on Monday. Centre back Alexander Djiku was hurt in training over the weekend and replaced by Dutch-born Derrick Luckassen in a last-minute change before FIFA’s deadline for submitting the squads on Monday. Coach Carlos Queiroz confirmed Djiku’s...
Suvendu Adhikari’s first month as CM: The Nayak phase of power
Every new government gets a small honeymoon with history. Franklin Roosevelt used his to tell a broken America that the first task of power was not perfection, but motion: “Above all, try something.” Suvendu Adhikari, a month after taking oath as CM of West Bengal on Rabindranath Tagore’s birth anniversary on May 9, seems to have imbibed that spirit.