Comments on: Monks and Fixed Points http://unimodular.net/blog/?p=7 ecstatic over numbers Mon, 06 Sep 2010 13:21:16 +0000 http://wordpress.org/?v=2.5 By: venkat http://unimodular.net/blog/?p=7#comment-3378 venkat Wed, 06 Sep 2006 07:09:36 +0000 http://unimodular.net/blog/?p=7#comment-3378 Nice to know the french-connection: http://unimodular.net/blog/?p=86. I was able to grasp the formalization as stated in Intermediate Value Theorem. I think whoever wrote the Wikipedia article on "Continuous function" did a nice job in explaining the essence to a layman. An excerpt from the article: "If a child undergoes continuous growth from 1m to 1.5m between the ages of 2 years and 6 years, then, at some time between 2 years and 6 years of age, the child's height must have been 1.25m." Nice to know the french-connection:
http://unimodular.net/blog/?p=86.

I was able to grasp the formalization as stated in Intermediate Value Theorem. I think whoever wrote the Wikipedia article on “Continuous function” did a nice job in explaining the essence to a layman.

An excerpt from the article:

“If a child undergoes continuous growth from 1m to 1.5m between the ages of 2 years and 6 years, then, at some time between 2 years and 6 years of age, the child’s height must have been 1.25m.”

]]> By: tpc http://unimodular.net/blog/?p=7#comment-3377 tpc Tue, 05 Sep 2006 13:09:29 +0000 http://unimodular.net/blog/?p=7#comment-3377 Dear Venkat, The suggested solution is exactly what you described. But it seems that not everyone can think of things in this way. And of course, we being maths geeks, must always using scary things like intermediate value theorem. http://unimodular.net/blog/?p=86 Dear Venkat,

The suggested solution is exactly what you described. But it seems that not everyone can think of things in this way.

And of course, we being maths geeks, must always using scary things like intermediate value theorem.

http://unimodular.net/blog/?p=86

]]> By: venkat http://unimodular.net/blog/?p=7#comment-3376 venkat Tue, 05 Sep 2006 09:38:26 +0000 http://unimodular.net/blog/?p=7#comment-3376 I am just wondering, cann't the proof for this problem be stated in english language like this: Assuming the monk starts climbing up at 8:00 am and another monk (clone) starts descending down at 8:00 am the same-day, they are supposed to meet somewhere if it is the same route. So there should be a place on the mountain where both the monks meet. In other words, is this not a solution? Just curious. Thanks ~Venkat I am just wondering, cann’t the proof for this problem be stated in english language like this:

Assuming the monk starts climbing up at 8:00 am and another monk (clone) starts descending down at 8:00 am the same-day, they are supposed to meet somewhere if it is the same route. So there should be a place on the mountain where both the monks meet. In other words, is this not a solution? Just curious.

Thanks
~Venkat

]]> By: Alex http://unimodular.net/blog/?p=7#comment-93 Alex Tue, 08 Feb 2005 00:58:27 +0000 http://unimodular.net/blog/?p=7#comment-93 What a practical application of the Intermediate Value Theorem! Assuming that you need to know that this might occur--- which, well, you probably wouldn't. What a practical application of the Intermediate Value Theorem! Assuming that you need to know that this might occur— which, well, you probably wouldn’t.

]]> By: Steve http://unimodular.net/blog/?p=7#comment-40 Steve Thu, 30 Dec 2004 14:34:00 +0000 http://unimodular.net/blog/?p=7#comment-40 I agree, it's an excellent problem with a brilliant solution. It was published in New Scientist in the 60s so is at least 40 years old. I agree, it’s an excellent problem with a brilliant solution. It was published in New Scientist in the 60s so is at least 40 years old.

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