4 ms·
Having studied maths and computer science, I've seen something happen like that in both fields. In a real analysis class, we were asked to give an example of a
by gyom 15y ago
Having studied maths and computer science, I've seen something happen like that in both fields.
In a real analysis class, we were asked to give an example of an irrational number, without proof. My friend wrote "sin(1)" and, even though we were all convinced that it was correct, the teacher felt that it was a bit too "clever". My friend should have gone with the old sqrt(2), but he decided to be a little more original.
The teaching basically told us to prove the claim, at home, and to find a convincing argument. Then he went back to the exam and gave my friend the points that he deserved. It's not that he couldn't prove the thing himself, it's that he didn't feel like wasting his time because of some student's funny answer.
- dxbydt 15y agoJust a nit - sin(1) is transcendental ( by the Lindemann Weirstrass Theorem). All real transcendental numbers are also irrational, but the converse is not true ie. the square root of 2 is irrational but not transcendental. So I guess your teacher was just looking for a plain old irrational number and going all transcendental on him is "a bit too clever" as you put it :)