Surjakciōni

Surjakciōni ("nō" funkciōni) iz tūliskwan X en tūliskwan Y ast funkciōni, kawīdses pawīda ast pastippa tūlisku Y: Parsers ni mazēi skaitātun (MathML ik mazīngi (eksperimentālai): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \operatorname{Im} f = Y}

anga liguwīdai: Parsers ni mazēi skaitātun (MathML ik mazīngi (eksperimentālai): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \forall{y \in Y}\; \exists{x \in X}\; f(x)=y.}

Erainā funkciōni mazzi wīrstwei surjakciōni, panzdau kitawīdinsnas tenesse prikidōmenin na tenesse pawīdan. Īmtun mūisesan dōmenin pernaikinna surjāktibin. Perwaidīnsnai, ik Parsers ni mazēi skaitātun (MathML ik mazīngi (eksperimentālai): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Y=\mathbb{R}_{+} \cup \{0\}} , staddan funkciōni dātan pra f(x) = x^2 ast surjakciōni. Adder kaddan īmtun Parsers ni mazēi skaitātun (MathML ik mazīngi (eksperimentālai): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Y=\mathbb{R}} šī funkciōni ni ast jāu "nō".

Perwaidīnsnas

• Parsers ni mazēi skaitātun (MathML ik mazīngi (eksperimentālai): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle f: x \mapsto {1 \over x}} pēr Parsers ni mazēi skaitātun (MathML ik mazīngi (eksperimentālai): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x \in \mathbb R \setminus \{0\}} nō stan subban tūliskwan.
• $f:x\mapsto x^{a}$ pēr $x\in \mathbb {R} ,a\in \{2n+1:n\in \mathbb {N} \}$ nō $\mathbb {R}$
• $f:x\mapsto \ln {x}$ pēr $x\in \{r\in \mathbb {R} :r>0\}$ nō $\mathbb {R}$
• $f:x\mapsto \operatorname {tg} {x}$ pēr Parsers ni mazēi skaitātun (MathML ik mazīngi (eksperimentālai): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x \in \{r \in \mathbb R: \pi > 2r > -\pi \or 3\pi > 2r > \pi\}} nō Parsers ni mazēi skaitātun (MathML ik mazīngi (eksperimentālai): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mathbb R}
• Parsers ni mazēi skaitātun (MathML ik mazīngi (eksperimentālai): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle f: \mathbb R \to \mathbb Z} dātan pra: Parsers ni mazēi skaitātun (MathML ik mazīngi (eksperimentālai): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle f(x) = \lceil x \rceil}
• Parsers ni mazēi skaitātun (MathML ik mazīngi (eksperimentālai): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle f: 2^{2^\mathbb R} \to \{1\}} dātan pra: Parsers ni mazēi skaitātun (MathML ik mazīngi (eksperimentālai): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle f(x) = 1}