I think your assumptions are reasonable, but I don't see how this explains that the mid-tone characteristics of a film are related to its highlight characteristics... > due to a fundamental principle of calculus of continuous functions Where did you get that from? As far as I understand, films are often coated with different emulsions to 'model' toe, mid-tone and highlight behavior individually, which would also explains the 'hump' in some films and developers. Maybe, I misunderstood what you meant? Regards Ralph W. Lambrecht On 1/1/05 2:09 AM, "Ryuji Suzuki" <rs@xxxxxxxxxxxxxxx> wrote: > I'm talking about the case where paper and > average gradient are fixed. I'm also assuming sensitometry of both > film and paper are monotone non-decreasing functions. These are all > reasonable assumptions. ============================================================================================================= To unsubscribe from this list, go to www.freelists.org and logon to your account (the same e-mail address and password you set-up when you subscribed,) and unsubscribe from there.