- 1-800-天鹅肉 [2009/06]
- I have nothing to say [2009/05]
- Looking for civilized translation into Chinese, after reading 泼妇是怎样炼成的 [2009/06]
- After dinner and I love you [2009/04]
- Kylelong asked me to write this. [2009/03]
- 鸟语 de Manifesto [2009/06]
- I will not shut up! [2009/03]
- My Bumpy Blog Career [2009/02]
- My first blog, second edition [2009/02]
- My First Blog [2009/02]
- Is 1 bigger than 0.999... ? [2009/03]
Is 1 bigger than 0.9999..... ? This question is as important as Goldbach Conjecture.
If 1 is bigger than 0.999..., then what is their difference? Is it 0.1, or 0.01, or 0.001, or 0.0001?
No. The difference between 1 and 0.999.... is smaller than all of these. Acutually the difference is smaller than any positive numbers. That is, 1 is not any bigger than 0.999... by any difference you can think of. Therefore, 1 is not any bigger than 0.999....
Since 1 is not smaller than 0.9999... either, 1 then equals 0.999....
That is not the direct prove that 1 equals 0.999... though, here is the prove.
Let 0.9999.…..= X (1)
Multiple both sides by 10: 9.9999.….= 10X (2)
(2) - (1): 9 = 9X
Hence X = 1
Therefore 0.99999.…… = 1
This is Mir Conjecture.
No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, without the permission of the copyright holder, who is Mir.
PS: I can not type Chinese but love to read Chinese, the only language I can really understand. So please, no English, if you do not have to.