Homotopy Type Theory rational function > history (Rev #2, changes)

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Definition

< rational function

Given a

Heyting field FF, let f:FFf:F \to F and g:FFg:F \to F be polynomial functions? and let h:F #0Fh:F_{#0} \to F be the reciprocal function of FF. A rational function is a partial function

k:(a:fg(a)#0)Fk:\left(\sum{a:f} g(a) # 0\right) \to F

defined as

k(a)f(a)h(g(a))k(a) \coloneqq f(a) \cdot h(g(a))

See also

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