Talk:實數 - 維基百科，自由嘅百科全書

# Talk:實數

### 出自維基百科，自由嘅百科全書

| 實數嘅資訊曾經響2006年 7月1日喺維基百科頭版嘅你知唔知？小節度出現過。 |

Please note:

1. |R is the only complete archimedian field. But any of its subfields is also archimedian.

2. The compatibility between the order and the multiplication operation:

       -One has the notion of "positive real numbers" (those numbers which are > 0)
       -|R satisfies one further property:  If a>b and c is positive, then ca>cb.

3. It is impossible to define an order in the field of complex numbers with all the mentioned properties.

(See Walter Rudin's book <<The Principles of Mathematical Analysis>> for reference.)(Hillgentleman)

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