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Jet bundle
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==Remark== This article has defined jets of local sections of a bundle, but it is possible to define jets of functions ''f: M'' β ''N'', where ''M'' and ''N'' are manifolds; the jet of ''f'' then just corresponds to the jet of the section :''gr<sub>f</sub>: M'' β ''M'' Γ ''N'' :''gr<sub>f</sub>(p)'' = ''(p, f(p))'' (''gr<sub>f</sub>'' is known as the '''graph of the function ''f''''') of the trivial bundle (''M'' Γ ''N'', Ο<sub>1</sub>, ''M''). However, this restriction does not simplify the theory, as the global triviality of Ο does not imply the global triviality of Ο<sub>1</sub>.
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