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#26 2014-12-16 05:09:03
- anonimnystefy
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- From: Harlan's World
- Registered: 2011-05-23
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Re: difference of zero, circle and alphabet O
Because there are no non-trivial circles in the trivial space {0}.
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.
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#27 2014-12-16 05:44:21
- Bob
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Re: difference of zero, circle and alphabet O
That's a mighty fine geogebra demonstration Agnishom. I am well impressed!
An n-sphere is the set of all points in n+1 dimensional space
So a 1-sphere is in 2-D space. 
Bob
Children are not defined by school ...........The Fonz
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you! …………….Bob
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#28 2014-12-16 05:59:01
- John E. Franklin
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- Registered: 2005-08-29
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Re: difference of zero, circle and alphabet O
hi pari.alf
a zero and a seven
have been drawn with
an extra crossing line
on the character.
I use dots on ones and zeros
in my personal notes. I put the
dot on the center of the one or zero.
igloo myrtilles fourmis
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#29 2014-12-16 07:48:05
- anonimnystefy
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- From: Harlan's World
- Registered: 2011-05-23
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Re: difference of zero, circle and alphabet O
That's a mighty fine geogebra demonstration Agnishom. I am well impressed!
Stefy wrote:An n-sphere is the set of all points in n+1 dimensional space
So a 1-sphere is in 2-D space.
Bob
Yes.
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.
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#30 2014-12-16 12:05:38
Re: difference of zero, circle and alphabet O
Thanks Bob
and a zero sphere is in R.
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
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#31 2014-12-16 12:42:11
- anonimnystefy
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- From: Harlan's World
- Registered: 2011-05-23
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Re: difference of zero, circle and alphabet O
But if the 0-sphere is in a space of dimension 1, then shouldn't an n-sphere be in a space of dimension n+1?
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.
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#32 2014-12-16 19:44:47
Re: difference of zero, circle and alphabet O
According to your definition, the zero sphere is in R.
I'd rather have the zero sphere to be the trivial sphere {0} in {0} and 1-sphere in R.
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
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#33 2014-12-17 00:02:57
- anonimnystefy
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- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,049
Re: difference of zero, circle and alphabet O
According to your definition, the zero sphere is in R.
I'd rather have the zero sphere to be the trivial sphere {0} in {0} and 1-sphere in R.
Well, I guess you'll have to readjust to this definition. It makes more sense when you look at it this way: The 1-sphere is a curved line with only 1 "dimension". The 2-sphere is a surface with 2 "dimensions".
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.
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