[Archive!] Pure mathematics, physics, chemistry, etc.: brain-training problems not related to trade in any way - page 111
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MetaDriver, а вы как думаете. Шарики могут отталкиваться?
You've got me confused again. Are we talking about a square? Is 3.3(3) a square or what? What does it have to do with dividing by 3?
Okay, I really don't understand. I'll sober up tomorrow. Bye.
Уже начал сомневаться... :)
Well, this gravitsapa hardly works on antigrave, it does not look like that:
This engine is "ablative", in it "under the action of high-voltage discharge the working body - fluoroplastic - evaporates and a thrust is generated".
MetaDriver, да не читайте вы эту газету. У меня от неё компьютер виснет :)))
Don't breathe on him.)Richie, нужно обоснование. ОК, тогда хотя бы покажи самостоятельно, почему число из 1999 однерок не делится на 3.
2 Metadriver: достаточно. У тебя, кстати, никаких мыслей о ночной задаче насчет отрезка с концами на двух окружностях?
Следующая, вроде посложнее: Доказать, что число 111...11 (81 единица) делится на 81.
almost everyone remembers the test of dividing by 3.
and in Japan they've moved from an elective to a core discipline that makes it relatively easy to learn
to do four basic operations with four-digit numbers.
And this is about Swedish schoolchildren. It's much worse than the Japs.
Какие нафиг испарения ПТФЭ? Он разлагается при нагревании свыше 400 град.С. Спокойной ночи.
Stop
A child put me on the spot with a simple question about what boilers are made of.
Well, I told him in good conscience it's a different metal, more refractory.
And he goes and asks, "What's that one made of?
I got hung up, I'm too lazy to google, it's probably a long time.
А тут о шведских школьниках. Все намного хуже, чем у япошек.
And these people decide who gets a Nobel Prize and for what)OK, it's not a difficult problem.
A number of 81 units 11...11 = 111111111 * (1 + 1*10^9 + 1*10^18 +...+ 1*10^72) = 111111111 * Number_1.
Number_1 = is a number consisting of 9 ones, densely diluted with zeros.
It turns out that both 111111111 and Number_1 are divided by 9, i.e. the product is 81.
2 Metadriver: достаточно. У тебя, кстати, никаких мыслей о ночной задаче насчет отрезка с концами на двух окружностях?
There is, but not enough so far.
The next one is more complicated: Prove that number 111...11 (81 ones) is divisible by 81.
We divide this number by 111111111. Получаем частное 1000000001000000001000000001000000001000000001000000001000000001000000001.
We can see (according to the school principle of divisibility), that both the divisor and the quotient are divisible by 9.
Proved.