Sentence examples for we derive precise from inspiring English sources

In particular, we derive precise conditions under which system (1.2) does not have Turing patterns.

Next, in the particular case, we derive precise conditions under which ((u_,v_)) is a globally asymptotically stable solution of the corresponding ODEs of system (1.2) and that all the solutions of (1.2) tend to ((u_,v_)) [18]: Define H_{1}:=frac{lambda_{2}{a}ha_{2}}{a},qquad H_{2}:= frac{alambda_{2}alpha_{2}(1+lambda_{1})}{(1+alpha _{1})[a(1+lambda_{1})+lambda_{2}(1+alpha_{2})]^{2}}.

Using this model, we derive precise predictions about how sensory evidence translates into advantageous wagering responses.

We also derive precise conditions such that the system does not have nonconstant positive steady-state solutions.

We were unable to derive precise H3T values for four H2T-high cases.

We present techniques for best memory use under different disk policies, and derive precise formulas for computing memory use.

We present techniques for best memory use under different disk policies, and derive precise formulas for computing throughput and memory use.

For four of the seven KOIs, we estimate a 95% upper quantile ofMS/MP < 0.04, which given the radii of the candidates, likely probes down to sub-Earth masses.We also derive precise transit times and durations for each candidate and find no evidence for dynamical variations in any of the KOIs.

The aim of the present work is to show how the application of a perturbation analyses together with the Galerkin method can be used to derive precise low order models for plates and shells, by capturing the influence of modal couplings and interactions.

The Euclidean distance spectrum for mappings [9] is defined to characterize mappings and derive precise error bounds.

There are only few controlled pharmacological trials on the management of MO in CM, which does not allow to derive precise figures on the risk of relapse into MO associated to specific therapies.