Table of Contents

Du 2 Borovicka, 104, L2

1.

<m>varphi :(Z,+) right (R,+), n varphi = 2n+1</m>

Pro homomorfismus plati: <m>forall a,b in Z: varphi(a +_Z b) = varphi(a) +_R varphi(b)</m>
Zde neplati:
<m>2(a+b)+1 <> 2a+1 + 2b+1</m>
<m>2a+2b+1 <> 2a+2b+2</m>

Zobrazeni neni homomorfismus.

2.

= je mysleno je kongruentni

<m>27x + 24 = 50x + 8 (mod 7)</m>
<m>23x = 16 mod(7)</m>
<m>gcd(23,7)=1</m> a 1 deli 2
Existuje inverzni prvek a existuje prave jedno reseni.
<m>x = 1 mod(7)</m>

Existuje jedno reseni x=1 v mod(7).

school/fit/mimpi/du2.txt · Last modified: 2018-06-21 19:48 (external edit)
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