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Best Answer superprismatic, 19 September 2013 - 07:15 PM

Spoiler for my entry

Go to the full post


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9 replies to this topic

#1 Anza Power

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Posted 17 September 2013 - 10:39 PM

Find a one-to-one and on mapping from the closed segment [0,1] to the open segment (0,1).
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#2 superprismatic

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Posted 19 September 2013 - 07:15 PM   Best Answer

Spoiler for my entry


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#3 bonanova

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Posted 20 September 2013 - 09:23 AM

Are there conditions other than being one-to-one and onto?
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#4 vinay.singh84

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Posted 20 September 2013 - 02:48 PM

Spoiler for my entry

Very impressive! Did you just devise this yourself?


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#5 superprismatic

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Posted 20 September 2013 - 06:30 PM

 

Spoiler for my entry

Very impressive! Did you just devise this yourself?

 

Spoiler for actually


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#6 Anza Power

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Posted 23 September 2013 - 10:40 PM

Are there conditions other than being one-to-one and onto?


No other conditions, although if you want something really interesting try having a continuous function...
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#7 bonanova

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Posted 24 September 2013 - 12:13 AM

Are there conditions other than being one-to-one and onto?

No other conditions, although if you want something really interesting try having a continuous function...

Yup, in fact that's the assumption I made.
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#8 witzar

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Posted 25 September 2013 - 02:02 PM

 

Are there conditions other than being one-to-one and onto?


No other conditions, although if you want something really interesting try having a continuous function...

 

Spoiler for Not possible, since


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#9 Anza Power

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Posted 25 September 2013 - 02:21 PM

Are there conditions other than being one-to-one and onto?


No other conditions, although if you want something really interesting try having a continuous function...

Spoiler for Not possible, since


Oh, that's even simpler than what I had in mind:
Spoiler for

Edited by Anza Power, 25 September 2013 - 02:21 PM.

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#10 bonanova

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Posted 26 September 2013 - 07:13 AM

Nice.
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