[高微] Archmedian Property....

[ericakk (我還記得)]

在高微中學到Archmedian Property是:

設 x > 0, 且 y 為任意實數, 則存在 n 屬於正整數, 使得 y < nx...

但後來在看 Royden 的實變中,

假設:f and g are two measurable real-valued functions defined on same domain.

Claim: f + g are also measurable

Proof: If f + g < α, then f < α － g,  and by the corollary to the

       axiom of Archimedes, there is a rational number r such that

       f < r < α － g.............(以下略) 

請問黃色跟藍色是在講同一件事嗎?

如果不是同一件事~那藍色是指什麼呢?

感謝回答.....

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→ smartlwj    :那是他的corollary 請看p35
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