Laskushiru

Laskuširu – fal fu širutropos, ka mit aftoo deki tsatainmietta tsui lasku auau. Ine laskuširu, lasku mononai katainen – pasku miepie fu usoting ka mus samasuru mit joku ruuru.

Mahpravda ine laskuširu

Mahpravda je tsatainmiettatropos per ka joku fras glaubena bli vyerena (zettai pravda, lakinai tšigaumie). Brukena ine joku mahpravda: erpravda (hadžimade vyerena pravda – miettaranja) au razpravda (fras dan mahpravdena, hotia imauen vyerena).

Lääskuśiru-hanu

Simpellääsku

Li jam 2 tro, na ljeva — tro fu Luna, na migi — tro fu Jan

Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 2 + 3 = 5} : ni mit/plus* tre sama go

Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 2 - 3 = -1} : ni uten/minus* tre sama lopain

Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 2 \times 3 = 6} : ni raz tre sama ikse

Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 2 \div 3 = \frac{2}{3}} : ni telfu tre sama ni ova tre / ni tserena tre sama ni tresca

* Gruunvas fu afto: Na Luna, « plus » au « minus » mono brukena per likkto (ttb: plubraa, minubraa), sitt hanu « med » au « uten ». Awen xörena plubraa na un. Men andrdźin hanu plu/minu per awen lääskuśiru.

Fal fu laskuširu

(Jam andrfal ka aftoo unating; men na eindžin dekinai širu alfaftoo… Mangestuur širutropos.)

Katailaskuširu

Katailasku nasimpel lasku fu katai: ein, ni, tre…. Katailaskuširu per širu katai ting ytten bruk veltting – mangesimpel antaa tšiisai lasku andrlasku made mit yoobi fpašuun, men mit stuur lasku (ttb 157928) treng hyerne os štift-na-paperi.

Jamlasku (Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mathbb N} )

lasku fu tingkatai ka sejena ine pravdavelt. 1, 2, 3… jamlasku; Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle -1} , Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \scriptstyle\frac12} jamlaskunai. Miettena ka 0 (nil) auen jamlaskutropos, auenli »uso katai«.

Heellasku (Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mathbb Z} )

jamlasku au kundurlasku fu aftoo. Kundurlasku fu Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x} tak lasku Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle y} , ka Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x + y = 0} . Kakena Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle -x} , hanena »nut Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x} « (< ‘ein utn’) os »lop Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x} «.

Tellasku (Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mathbb Q} )

al lasku ka heellaskunen tel fu andr heellasku.

Gwirlasku (Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mathbb R} )

Figlasku (Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mathbb C} )

Pravdalaskuširu

Pravdalasku – lasku fu hurmange pravda (os uso). Ine laskuširuvelt letstevikti Buulpravdalasku, ka har ni kundur fal – pravda ($\top$ os $\mathbb {1}$) au uso ($\bot$ os $\mathbb {0}$).

Klaanilaskuširu

Klaani - ine laskuširu, klaani har mange chigau ting. Deki har sofnai ting, os nil ting (de kaku $\emptyset$). Ttb Jamlasku je klaani mit sofnai lasku, men $A=\{1,2,3,4\}$ je klaani mit mono 4 lasku. Ting ine klaani mus chigau je, sitt $\{1,1\}$ sama $\{1\}$. Klaani mavikti ine laskuširu, grun al laskuširu bruk sore.

Havuralaskuširu

Havura – liik klaani, men har plusmange ruruimpla. Klaani $H$ je havura li har kawarina $(\cdot ):H\times H\to H$, ka suru 4 Havurapravda:

1. Peral $a,b$ ine havura $H$, $a\cdot b$ auen ine $H$
2. Peral $a,b,c$ ine $H$, $a\cdot (b\cdot c)=(a\cdot b)\cdot c$
3. Jam tak $e$ ine $H$, ka peral $a$ ine $H$, $e\cdot a=a\cdot e=a$
4. Peral $a\in H$, jam $b\in H$, ka $a\cdot b=b\cdot a=e$ (kakuena $b=a^{-1}$)

Men ine havura, $a\cdot b$ naimus $b\cdot a$ sama. Li afto pravda peral $a$ au Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle b} , de Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle H} haissa havurafabel (naeme za Niels Henrik Abel).

ṡirunajun (MidoriVals😤)

Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Rightarrow, \rightarrow, \supset}

li A pravda, sitt B pravda. Men li A pravdanai, sitt nai śiru B.

Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x = 2 \Rightarrow x^2} = 4 je pravda, au Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x^2 = 4 \Rightarrow x = 2} je nai pravda gruun x deki -2

Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Leftrightarrow, \leftrightarrow, \equiv}

li au mono li, sama

A ⇔ B mono ak A ak au B ak os A naj ak au B naj ak

Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x + y = y + 2 \Leftrightarrow x + 3 = y}

Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \neg x, \tilde x, !x}

nai, nilatai

Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \neg (\neg A) \Leftrightarrow A}

¬A ak, li au mono li A naj ak

Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x \neq y \Leftrightarrow \neg(x = y)}

Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \land, \cdot, \&}

laskiau

Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle A \land B} ak li A ak au B ak os je najak

Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle n < 4 \land n > 2 \Leftrightarrow n = 3} koske n je lasku

Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \lor, +, \|\|}

laskios

Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle n \geq 4 \lor n \leq 2 \Leftrightarrow n \neq 3} koske n je lasku

∴ sitt

Alkami naj sinu

Zeuskami je kami

Zeuskami naj sinu

∵ gruun

Zeuskami naj sinu

∵ alkami naj sinu au Zeuskami je kami