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question:How is March 20th -- International peace monitors evacuate, citing security and possibility of NATO airstrikes. said in Romanian?
answer:In Romanian, March 20th -- International peace monitors evacuate, citing security and possibility of NATO airstrikes. can be translated to: 20 Martie -- Monitorii internaționali ai păcii se evacuează, invocând motive de securitate și posibilitatea atacurilor aeriene NATO. Here is a breakdown of the translation: - March 20th = 20 Martie - International peace monitors = Monitorii internaționali ai păcii - evacuate = se evacuează - citing = invocând - security = motive de securitate - possibility = posibilitatea - NATO airstrikes = atacurilor aeriene NATO
question:Prove that: a) The larger angle is opposite the larger side in a triangle. b) The larger side is opposite the larger angle in a triangle.
answer:Part (a) 1. **Initial Assumption**: Consider a triangle ABC where the side BC is greater than the side AC. 2. **Construct the Intermediate Step**: Mark a point A_1 on the line segment BC such that CA_1 = AC. Since CA_1 = AC < BC, it follows that point A_1 lies between points B and C. 3. **Angle Comparison**: The line segment AA_1 acts as an auxiliary line within the triangle. Breaking down the angles, observe that angle A is greater than the angle angle CAA_1 in the triangle CAA_1. 4. **Applying External Angle Property**: In the extended triangle AA_1B, CAA_1 is an external angle. By the external angle theorem, the external angle CAA_1 is greater than both internal opposite angles A_1AB and BAA_1. 5. **Conclusion for Part (a)**: Given angle CAA_1 is external with respect to triangle AA_1B, it follows [ angle A > angle CAA_1 = angle CA_1A > angle B ] This shows that the angle opposite the larger side (BC) of the triangle ABC is larger. [ boxed{text{This proves that the angle opposite the larger side is larger.}} ] Part (b) 1. **Initial Assumption**: Consider a triangle ABC and let angle A > angle B. 2. **Indirect Proof Method (Contradiction)**: Suppose that the side BC is less than or equal to the side AC. 3. **Constructing the Contradiction**: If BC < AC, based on the first part that we have proved (a), it would mean that the angle opposite to the smaller side BC which is angle A should be smaller, which contradicts the initial assumption angle A > angle B. 4. **Considering Equal Sides**: If BC = AC, then the triangle ABC would be isosceles. Thus, angle A = angle B, in contrast with the given assumption angle A > angle B. 5. **Conclusion for Part (b)**: Thus, neither BC < AC nor BC = AC hold true. This leaves us with the only possibility: [ BC > AC ] Therefore, the side opposite the larger angle in the triangle (angle A) is the larger side (BC). [ boxed{text{This proves that the side opposite the larger angle is larger.}} ]
question:By . Kelly Strange . A mother whose baby’s life was saved by pioneering ice therapy has told how he was defrosted on Christmas Eve for his first cuddle. Freddy Cooke did not breathe for 20 minutes after he was born and mother Nicky Symmonds was warned that even if he survived he would be severely brain damaged from lack of oxygen. But then he was given revolutionary treatment to cool his core body temperature, putting him a state of induced hypothermia, in the hope it would allow his brain to recover. Freddie Cooke had to have his core body temperature reduced to save his life after he failed to breathe for 20 minutes . Pictured with his parents Dan and Nicky, it was feared that he may have been brain damaged as a result of a lack of oxygen to the brain . Nicky, 30, says: 'When they started warming him up again we still didn’t know if it had worked. 'When they finally handed me a warm bundle to hold for the first time it felt like a true Christmas miracle that he had survived.' The treatment was such a success that Freddy was allowed home on Boxing Day and Nicky says: 'To see your baby cold and shivering goes against all your mothering instincts. You just want to wrap them up and keep them warm, but it saved his life. Words cannot express how grateful we are.' As a result of the treatment Freddy was allowed home on Boxing Day - just a few days after he was born . Freddy is now a perfectly healthy toddler and Nicky and partner Daniel Cooke will mark this Christmas by raising money to help save others. But rewind to December 20, 2011, and they were sure they had lost him when he was born lifeless at home, just 30 minutes after Nicky went into labour. She recalls: 'I was five days overdue when the contractions started but as I was a first-time mum I was expecting a very long labour.' Midwives examined her, then left for labour to progress normally. But minutes later her waters broke and Daniel called them back. They arrived just in time to deliver the baby’s head, but his shoulder got stuck and the umbilical cord snapped, starving him of oxygen. By the time he was finally born, weighing 9lb 2oz, he had stopped breathing and the medics called an ambulance. Freddy was rushed to the Royal Berkshire Hospital, near the couple’s home in Reading, while one of the midwives tended to Nicky. Five minutes later she had a call from the ambulance crew saying Freddy had finally started breathing 20 minutes after his birth. His only hope was the cooling treatment to reduce swelling in the brain and prevent further damage. He was put on a ventilator and transferred to Oxford’s John Radcliffe hospital for treatment to begin when he was four hours old. The couple drove to the hospital, where Nicky was admitted for more treatment. But first she wanted to see her baby. His parents described their first cuddle with him on Christmas Eve as being the best present they could have wished for . His body temperature was lowered to 33C when he was wrapped in a cooling blanket pumped with freezing water . She says: 'When we saw him he was already on the ice bed. They said it was important for treatment to start within six hours of birth. 'He was wrapped in a cooling blanket which was pumped with freezing water to keep his temperature down to 33°C. Nicky Symmonds said that he was shivering and shuddering from the cold and she just wanted to protect him . 'His little hand was freezing and he was shivering and shuddering with the cold. 'Nurses assured me he couldn’t feel anything because he was sedated but I had to fight the urge to wrap him up and snuggle him.' The parents kept vigil over the next few days as Christmas loomed. Nicky, a bookshop manager, says: 'It was heartbreaking because I had bought him a little Santa suit and imagined us all at home together for his first Christmas. 'Now all I could do was pray that he would live. I didn’t even think about Christmas.' After 72 hours it was time to slowly warm Freddy up. Only then could they tell if the treatment had worked. Daniel, 29, a lettings manager, says: 'We were warned it was a critical time as he might suffer a seizure or relapse. It was terrifying.' Miraculously as he 'defrosted' over the next 12 hours Freddy started to move his legs and cry — signs that he had not suffered brain damage. Nicky says: 'The doctors could not believe it. He had been deprived of oxygen for 20 minutes. It was unheard of for him to be responding so well.' Finally, at 4pm on Christmas Eve, the couple were able to hold their baby for the first time. Nicky says: 'Tears were rolling down my face. He was still covered in wires and tubes but he was warm, his heart was beating. 'After what I had witnessed when he was born it felt like a true Christmas miracle. It was like he had been brought back to life.' Freddy had to 'defrost' for 12 hours after his temperature was dropped and eventually he started to move his legs and cry - a sign that he had not suffered brain damage . Freddy stayed in the special care baby unit that night but on Christmas Day nurses took him to Nicky and Daniel on the post-natal ward. They had even dressed him in his red Christmas babygrow. Nicky recalls: 'It was the best present in the world. We were able to spend all Christmas afternoon cuddling him and holding him as a family.' Now the parents cannot wait for Christmas 2013, as Freddy has finally been given the all-clear. Nicky says: 'He is a miracle — and the midwives who refused to give up that day are true angels.' Last year Nicky launched a campaign, Cool To Save A Life, to raise funds for cooling equipment in hospitals. Click here for more details.
answer:Freddy Cooke, born on December 20, 2011, did not breathe for 20 minutes after his birth, leading doctors to warn his parents, Nicky Symmonds and Daniel Cooke, that he might suffer severe brain damage. However, Freddy was given a pioneering treatment involving induced hypothermia to reduce his core body temperature, which aimed to minimize brain damage. Freddy was transferred to Oxford’s John Radcliffe Hospital, where his body temperature was lowered to 33°C using a cooling blanket. After 72 hours, he was slowly warmed up, and miraculously, he began to move and cry, indicating no brain damage. On Christmas Eve, Nicky and Daniel held their baby for the first time, describing it as a true Christmas miracle. Freddy was allowed home on Boxing Day and is now a healthy toddler. Grateful for the treatment, Nicky launched a campaign, Cool To Save A Life, to raise funds for cooling equipment in hospitals.
question:Write a Python function to partition a range of integers into smaller ranges, where each range contains a maximum number of integers. Provide default values to the function such that it can handle both the range of integers and the maximum integers per range. A range boundary case and a partition boundary case are handled separately.
answer:Here's an example of how you could implement a Python function to partition a range of integers: ```python def partition_range(start, end, max_size=10): current_range = [] partitions = [] for i in range(start, end + 1): current_range.append(i) if len(current_range) == max_size: partitions.append(current_range) current_range = [] if current_range: partitions.append(current_range) return partitions ```