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We simplify proof of the theorem that close to any pseudoholomorphicdisk there passes a pseudoholomorphic disk of arbitrary close size withany pre-described sufficiently close direction. We apply these results tothe Kobayashi and Hanh pseudodistances. It is shown they coincide indimensions higher than four. The result is new even in the complex case

Deformation of big pseudoholomorphic disks and application to the Hanh pseudonorm