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16 October 2026
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N 12:07 | Function 8 changes hist +1,525 [Rongzhou (8×)] | |||
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12:07 (cur | prev) +103 Rongzhou talk contribs (→Formal definition) | ||||
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12:05 (cur | prev) −10 Rongzhou talk contribs | ||||
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12:04 (cur | prev) +15 Rongzhou talk contribs | ||||
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12:03 (cur | prev) +680 Rongzhou talk contribs (→Formal definition) | ||||
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11:43 (cur | prev) +32 Rongzhou talk contribs (→Image and preimage) | ||||
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11:32 (cur | prev) +28 Rongzhou talk contribs (→Formal definition) | ||||
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11:32 (cur | prev) +301 Rongzhou talk contribs (→Image and preimage) | ||||
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11:25 (cur | prev) +376 Rongzhou talk contribs (Created page with "A '''function''' is a many-to-one map between two sets. == Formal definition == Let $D,R \neq \emptyset$ be sets. If $$ \forall x \in D: \exists y \in R, f(x)=y $$ Then $f$ is a function of '''domain''' $D$ and '''range''' $R$, noted as $f: D \to R$. '''Example''': $$ f(x)=2x^2, x \in \mathbb{C} $$ is a function, where $f: \mathbb{C} \to \mathbb{C}$") | |||
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N 11:08 | Set 2 changes hist +4,646 [Rongzhou (2×)] | |||
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11:08 (cur | prev) +276 Rongzhou talk contribs | ||||
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10:51 (cur | prev) +4,370 Rongzhou talk contribs (Created page with "A '''set''' is an unordered collection of distinct '''elements'''.<ref>{{#cite:Q2194}}</ref> == Formal definition == According to [https://en.wikipedia.org/wiki/Morse%E2%80%93Kelley_set_theory Morse-Kelley set theory]: $$ \exists B: A \in B \iff A \text{ is a set} $$ <ref>{{#cite:Q2184}}</ref> == Defining a set == === Enumeration === A small finite set can be described by '''enumerating''' all its elements: $$ S=\{\text{Apple, Banana, Peaches}\} $$ Some infinit...") | |||