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In addition, even the most trivial assumptions required by a problem should be stated explicitly in the definition.
However, as long as the residues that were implied in the formation of salt bridges between cytochrome c and Apaf-1 were exclusively surface located, these trivial assumptions on their protonation states seem to be reasonable.
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But this is not a trivial assumption, for two reasons.
Given the (apparently trivial) assumption that "b is existent" is equivalent with "b exists", this is a contradiction.
This surprising time-effect is experimentally confirmed, showing that the trivial assumption of steady-state damage evolution is strongly non-conservative.
Note that this is not a trivial assumption, as the burst duration and peak-firing rate could instead have depended on the cell's optimal saccade amplitude, R0 k.
In addition, fitting of nonlinear models relies on non-trivial assumptions.
That it embodies non-trivial assumptions whose import must be accepted with sober reflection is indicated by the early acceptance of the hole argument by David Hilbert.
Thereby, relevant decision criteria must be quantified, decision variables and constraints must be defined, and non-trivial assumptions must be made transparent (Cohon 2004).
Thereby, relevant decision criteria must be identified and quantified, decision variables and constraints must be defined, and non-trivial assumptions must be made transparent (Cohon 2004).
The proof of Hamilton's rule relies on certain non-trivial assumptions; see Frank 1998, Grafen 1985, 2006, Queller 1992a, 1992b, Boyd and McIlreath 2006 and Birch forthcoming for details.
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