Swallowtail (film) also nominated for but did not win the following awards: Swallowtail (film) Swallowtail, also known as Swallowtail Butterfly (スワロウテイル "Suwarōteiru"), is a 1996 Japanese crime film directed by Shunji Iwai, starring Hiroshi Mikami, pop-singer Chara, and Ayumi Ito. The film was shot on hand-held cameras using jump cuts and other visual techniques. It covers a wide array of themes and genres, from social realism to coming-of-age to crime. A theme song for the film under "Yen Town Band", titled "Swallowtail Butterfly (Ai no Uta)", gained first place on the Oricon Weekly Singles Chart of October 7, 1996. The film is
Comma category difference between the two notions is that a natural transformation is a particular collection of morphisms of type of the form formula_182, while objects of the comma category contains "all" morphisms of type of such form. A functor to the comma category selects that particular collection of morphisms. This is described succinctly by an observation by Huq that a natural transformation formula_183, with formula_184, corresponds to a functor formula_185 which maps each object formula_8 to formula_187 and maps each morphism formula_188 to formula_16. This is a bijective correspondence between natural transformations formula_181 and functors formula_185 which are sections of both