The mapping algorithm finds exactly the minimal mapping β, the minimal total cost and the evolutionary scenario as a minimum over all possible distributions of elementary evolutionary events along the edges of tree S. The algorithms and their effective software implementations provide useful tools in many biological studies.
Since the global stable manifold is unique, the set ((mathcal{S}_{1}cap Q_{2}(Phi_{2},Psi_{2}))cup(mathcal {S}_{2}cap Q_{4}(Psis{2},Phinvariantis invariant under T. Similarly, as in Theorem 19, one can prove that (operatorname{int}(Q_{2}(Phi_{2},Psi_{2}))cup operatorname{int}(Q_{4}(Psi_{2},Phi_{2}))) contains exactly one minimal period-two solution, which is a saddle point.
It is evident from this figure that all three interaction graphs match each other almost exactly indicating minimal partial confinement effects in this case due to the limited confinement effects in general (wide tie spacing), especially for (α = 45) where small number of corner filaments reaches the ultimate confined strength.
An algorithm described in [ 43] generates a random reconciliation of G and S, enumerates all such possible reconciliations, and calculates exactly the minimal number of fixed operations needed to rearrange one reconciliation into the other.
Wang and Wang proved global existence of solutions in the critical space (chi ^{-1}), which was introduced in [23] and used in studying the global well-posedness of the incompressible Navier-Stokes equations by Lei and Lin [24] provided that the norm of initial norm of the initial value are bounded exactly by the minimal value of the viscosity coefficients.
Interestingly, the C-terminal region identified by NMR as altered in NCS-1 R102Q NCS-1 R102Qs almost exacorresponds minimalmost-1(174–190) domain rexactly for ito binding theIL1RAPL1 [24].
A marked decrease in egg size associated with increasing clutch size occurs 6 days after the release of crowding and dietary restriction (Figure 1a, b)— a time lag that exactly equals the minimal inter-clutch interval (mean inter-clutch interval = 6.7 days, 95% confidence interval = [5.9; 8.9], n = 51).
The practical effects of this change - how many federal contract workers are earning minimum wage, exactly? - may be minimal.
His gestures are minimal and exactly timed.
In early 1993, Irwin proposed a garden exactly opposite of the minimal panorama Meier had envisioned; Irwin's proposal included an immense variety of plants, a gently arching creek, parallel lines of sycamore trees, a shaded path of steps criss-crossing the creek, and a wide oval pool with a large maze of multi-colored azaleas within it.
