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. , , , , .

. , , . .

( () , ). .

, .. , .

1) a1 a2.. :

a1 = a2 b1 + r1.

r1=0, = .

r1≠ 0, .

2) a2 r1. :

a2= r1⋅b2 + r2.

r2=0, ( r1)=r1

r2≠ 0, ..

:

a1 = a2 b1 + r1.

a2= r1⋅ b2 + r2

..

rn-2 = rn-1 ⋅ bn + rn

rn-1 = rn ⋅ bn+1 + rn+1

,

a2 > r1> r2 >...> rn > rn+1 ≥ 0,

, a2∈ N. n, rn+1=0, (a1,a2)=(a2,r1)=(r1,r2)=...=(rn−1,rn)=

=(rn,0) = rn.

, ( ), , , , .

: , , , ?

, a1 a2 . :

1. a1 a2. 2.

2. r = 0, 4, 3.

3. a1 a2, a2 r. 1.

4. ( ) = a2. 5.

5. .

, .

.

1. . , , , : , , .

2. () , , , , , .

3. .

4. () .

5. .

6. , , ( , ).

, , , , n ..

, , , . , e π .

, : , , , , .

X N x∈X , .

, X, N. , .. , .

, , , , . . , .

, , .. , .

 





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