Mathematicians are stunned by the discovery that prime numbers are pickier than previously thought. The find suggests number theorists need to be a little more careful when exploring the vast infinity of primes.
Primes, the numbers divisible only by themselves and 1, are the building blocks from which the rest of the number line is constructed, as all other numbers are created by multiplying primes together. That makes deciphering their mysteries key to understanding the fundamentals of arithmetic.
Although whether a number is prime or not is pre-determined, mathematicians don’t have a way to predict which numbers are prime, and so tend to treat them as if they occur randomly. Now Kannan Soundararajan and Robert Lemke Oliver of Stanford University in California have discovered that isn’t quite right.
<span>“It was very weird,” says Soundararajan. “It’s like some painting you are very familiar with, and then suddenly you realise there is a figure in the painting you’ve never seen before.”</span><span>Mathematicians shocked to find pattern in ‘random’ prime numbers
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I
1. tells
2. says
3. told
4. on
5. by
6. said
7. good bargain
8. waterproof
9. stand out
10. glamorous
II
1. The shop assistant asked the customer what make he prefers (это очень странный вопрос, если честно)
2. Rob said that he doesn't buy his clothes in the sales
3. She told her son not to put those worn jeans on
4. Mark asked Rob if he has bought his sweater in the discount store
5. The shop assistant told the customer to go and try that dress in the fitting room
6. He asked the girl what was her size
7. John asked his friend if his favourite colour was red
8. They asked Mark why did he not cared about the fashion
9. Misha asked Emily if she was reading fashion magazine
10. The woman asked where the fitting room was
III
1. Anna asked her mom, "Do you like the dinner?"
2. Sally asked her friend, "Where do you live?"
3. Rob says, "My Russian size is 39"
4. Emily says, "Mark, don't open the window"
5. Sally asks her friend, "Where do you study?"
6. Rob says, "I like New York"
7. Emily says, "Don't come late, Mark"
IV
2. Can I help you? - a. I am looking for a suit. 3. What make do you prefer? d. I'd prefer M&S. 1. What size are you? c. I'm a size 10. 7. I'll have a look. Here's one in blue colour. e. That cooks very elegant. 4. Would you like to try it on? f. Of course. Where could I try it on? 5. The fitting room is on your left. h. Does it fit? 8. It suits you perfectly. g. I'll take it. How much is it? 6. 200$. How will you pay? b. Can I pay in cash? 9. Sure, it's no problem. j. Here you are. i. Thank you very much. 10. You are welcome
V
Useful, wonderful, enjoyable, hopeful, musical, peaceful, comfortable, natural, changeable, meaningful, tasteful, colourful, fashionable.
VI
1. I don't like to stand out
2. He buys clothes on sales
3. This skirt is very expensive but unfashionable
4. I don't care about fashion, I wear comfortable clothes
5. I like my everyday clothes
6. His clothes is fashionable and practical
Эм... где вопрос? ну где скажи или скинь пожалуйста решу!
Ответ:
III
1. We are going to have
2. The sailors were preparing
3. They will enter
4. The navigators are keeping
5. Our city are visited
IV
1. What are they watching?
2. Who is responsible for the ship, their cargo and the crew?
3. Where will cadets have practice?
4. When did he finish school?
5. How all the engines work?
To prevent wars....Question people asked for ages. It seems so easy to start solve problems without using agression. But how we can see it doesnt works. In my opinion to stop this horrors which are happenig at point of war people must become wiser and more rational. However only time can help us with this. In spite of anything I think people slowly but correctly go to their purpose - peace all around the world.