Talk:實數

出自維基百科,自由嘅百科全書
Jump to navigation Jump to search
你知唔知 實數嘅資訊曾經響2006年7月1日喺維基百科頭版你知唔知?小節度出現過。
Wikipedia

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)