The following model explores optimal (minimum 'cost') gaits given three assumptions concerning the fundamental properties of muscle: — the 'cost' of locomotion relates, to some relevant extent, to the volume of muscle activated not merely the mechanical work or power requirement.
First, we give five assumptions for functions that will appear in our main results.
4. Our formulae deliver justified hypotheses also in the cases that are not as straightforward as the cases in Figure 1(a - b)/Figure 2(a - b), given two additional assumptions, that we call the source principle and the target principle.
For a given data set, we make two assumptions about the modules (pathways): (1) a limited number of modules contribute to trait variation and (2) each module affects a limited number of traits.
Premise (2) follows from the definition of determinism (at least given two widely accepted assumptions: that there is causation in a deterministic universe and that causation is a transitive relation).
One-dimensional and two-dimensional random field models of pavement surface are discussed given three different assumptions.
Arguments like this make two assumptions.
These models are referred to as rank preserving as they make the assumption that given two patients i and j, if i failed before j when both were on one treatment, then i would also fail before j if both patients took the same alternative treatment.
The rationale for this assumption is that, given two proteins, they will co-evolve if some functional requirement of the organism is dependent on both in a similar way.
One assumption is that given two generated idealized structures P i 1, t − 1 and P j 1, t − 1 of the first t−1 atoms, such that D (P i t − k, t − 1, P j t − k, t − 1 ) ≤ ε, for any generated coordinate P i t of the t'th atom, there always exists a generated coordinate P j t, such that D (P i t, P j t ) ≤ ε.
