Away yupay

Kaykunam yupay awaykuna

Wari yupa

$\mathbb{N}$

$\mathbb{N}=\{0,1,2,3,4,5,...\}manaqa\mathbb{N}=\{1,2,3,4,5,...\}$

${\mathbb{N}}_0$ manaqa ${\mathbb{N}}_1$ huk kuti kaynawpis.

$\mathbb{N}$chaw yapantsik, miratsintsik.

Ishkaymanya yupa

$\mathbb{Z}$

$\mathbb{Z}=\{...,-5,-4,-3,-2,-2,-1,0,1,2,3,4,5,...\}$

${\mathbb{Z}}_{-}=\{...,-5,-4,-3,-2,-2,-1\}$

${\mathbb{Z}}_{+}=\{1,2,3,4,5,...\}$

$\mathbb{Z}$chaw yapantsik, miratsintsik, qichuntsik.

Rakina yupa

$\mathbb{Q}$

$\mathbb{Q}=\{\frac{a}{b}/a,b\in \mathbb{Z},b\ne 0\}$

$\mathbb{Q}$chaw yapantsik, miratsintsik, qichuntsik, rakin $a\ne 0$

Tupu yupa

$ℝ=\{x/x\}$qa ushanninaq chunkalla pakim

Katsun

$0.5=4999...$

$\frac{2}{3}=0.666...$

$\frac{5}{12}=0.41666...$

$\sqrt{7}=0.645751311...$

$\pi =3.14592654...$

$e=2.718281828...$

Kay $ℝ$ qurqatam nintsik tupu yupa qurqa.

$ℝ$pa allawka kaqninwan tupunsik.

$ℝ$chaw tarintsik :$\sqrt[3]{5}$ta.

Panpa yupa

$ℂ=\{z=a+bi\}$

$z=a+bi$tam panpa yupa nintsik.

$arikchaypatma$

$bmuspapatma$

$z=\rho (cos\theta +isen\theta )$; $\rho =waraki$; $\theta =kukush$

$i^2=-1$, $imuspaurwaq$

$ℂ$ kaqninwan paskantsik tullupatsay tsinkaypaqtashata.

Patma

$\mathbb{N}\subset \mathbb{Z}\subset \mathbb{Q}\subset ℝ\subset ℂ$

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