Author Topic: At least one real zero?  (Read 6868 times)

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Offline Ender

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Re: At least one real zero?
« Reply #15 on: April 11, 2008, 06:37:37 PM »
Calculus theorems are pointless, they can all be easily re derived on the spot if you don't see a solution intuitively.

An interesting thing about math is that an important theorem or principle may be obvious, but the way it changes your thinking can be profound. Take the pigeonhole principle, for example. It's ridiculously intuitive and obvious, but it can help you solve some really tough theorems or problems.
« Last Edit: April 11, 2008, 06:39:59 PM by Ender »

Offline rabbit

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Re: At least one real zero?
« Reply #16 on: April 11, 2008, 07:23:22 PM »
Calculus theorems are pointless, they can all be easily re derived on the spot if you don't see a solution intuitively.

An interesting thing about math is that an important theorem or principle may be obvious, but the way it changes your thinking can be profound. Take the pigeonhole principle, for example. It's ridiculously intuitive and obvious, but it can help you solve some really tough theorems or problems.

IIRC Sidoh disproved the pigeon hole principle.

Offline d&q

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Re: At least one real zero?
« Reply #17 on: April 11, 2008, 09:48:10 PM »
Some theorems are pretty cool and can be appreciated, but a theorem like Rolle's theorem is really intuitive and..bleh.
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Offline Ender

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Re: At least one real zero?
« Reply #18 on: April 12, 2008, 12:53:55 AM »
Some theorems are pretty cool and can be appreciated, but a theorem like Rolle's theorem is really intuitive and..bleh.

The whole point was that intuitive and obvious theorems and principles often deserve a lot of appreciation. MVT is very important :P