Re'el taal

Re'el taalen (ütspreegen: re-el, mengde ${\displaystyle \mathbb {R} }$) san aal a taalen, diar dü üüb en taalstrual finj könst. Bütj a ratsionaal taalen san det uk taalen, diar dü ei üs en bröök skriiw könst, tun bispal det kreistaal Pi.

Tekst üüb Öömrang

${\displaystyle \mathbb {R} }$

Iindialang

Taalstrual

• Ratsionaal taalen: ${\displaystyle \mathbb {Q} =\left\{\dots ,-{\tfrac {2}{1}},-{\tfrac {1}{2}},-{\tfrac {1}{1}},0,{\tfrac {1}{1}},{\tfrac {1}{2}},{\tfrac {2}{1}},{\tfrac {1}{3}},\dots \right\}=\left.\left\{{\tfrac {p}{q}}\right|p\in \mathbb {Z} ,q\in \mathbb {N} \setminus \{0\}\right\}}$
  • Hial taalen: ${\displaystyle \mathbb {Z} =\{\dots ,-2,-1,0,1,2,\dots \}}$.
    • Natüürelk taalen: ${\displaystyle \mathbb {N} }$ (saner 0): ${\displaystyle \{1,2,3,\dots \}}$ of (mä 0): ${\displaystyle \{0,1,2,3,\dots \}}$ (uk ${\displaystyle \mathbb {N} _{0}}$).
• Irratsionaal taalen: ${\displaystyle \mathbb {R} \setminus \mathbb {Q} }$ = det mengde faan aal a taalen uun ${\displaystyle \mathbb {R} }$, diar ei tu ${\displaystyle \mathbb {Q} }$ hiar.

Ratsionaal taalen kön üs bröök skrewen wurd. En taal as irratsionaal, wan det re'el as, ober ei ratsionaal.

Bispalen san ${\displaystyle {\sqrt {2}}}$ of ${\displaystyle {\sqrt[{3}]{7}}}$ of ${\displaystyle \pi }$ (Pi).

Luke uk diar

Wikibooks: Re'el taalen (sjiisk)
Wikibooks: Analysis – Re'el taalen (sjiisk)

 Commonskategorii: Re'el taalen – Saamlang faan bilen of filmer

Taalen . . .

Natüürelk taalen ${\displaystyle (\mathbb {N} )}$ | Hial taalen ${\displaystyle (\mathbb {Z} )}$ | Ratsionaal taalen ${\displaystyle (\mathbb {Q} )}$ | Re'el taalen ${\displaystyle (\mathbb {R} )}$ | Kompleks taalen ${\displaystyle (\mathbb {C} )}$