(0 )2 1436587@9BAC9EDGF4HI 7P5QHRFTSVU0DXW6F4H
(0 )2 1436587@9BAC9EDGF4HI 7P5QHRFTSVU0DXW6F4H
(0 )2 1436587@9BAC9EDGF4HI 7P5QHRFTSVU0DXW6F4H
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
¢¡¤£¦¥ ¡<br />
¡ © ¢ ¥ ¢<br />
IR × IR 2 <br />
<br />
(x1, y1) ⊕ (x2, y2) = (x1 + x2, y1 + y2) x1, x2, y1, y2 ∈ IR<br />
¡ ¨ § ¢ IR 2 <br />
IR 2 <br />
¢ ¥¤ <br />
α ⊙ (x, y) = (α x, α y) x, y, α ∈ IR<br />
IR 2 , ⊕, ⊙ ¡ <br />
(x1, y1) (x2, y2) ∈ IR 2 <br />
(x1, y1) ⊕ (x2, y2) = (x1 + x2, y1 + y2) = (x2 + x1, y2 + y1)<br />
¨¥ 2 ¨<br />
(IR , ¡ ¢ <br />
⊕) © <br />
⊕ <br />
= (x2, y2) ⊕ (x1, y1)<br />
<br />
<br />
¢ ¡ <br />
⊕<br />
© ⊕ y1) (x1, y2) (x2, (x3, y3) ∈ IR 2 <br />
(x1, y1) ⊕ ((x2, y2) ⊕ (x3, y3)) = (x1, y1) ⊕ (x2 + x3, y2 + z3)<br />
= (x1 + (x2 + x3) , y1 + (y2 + y3))<br />
= ((x1 + x2) + x3, (y1 + y2) + y3)<br />
= ((x1, y1) ⊕ (x2, y2)) ⊕ (x3, y3)
Change language