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The desired equilibria, where all the rigid bodies possess the same attitude and rotate at a desired angular velocity, are shown to be locally asymptotically stable and a manifold of undesired equilibria may exist.
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Such optimization requires the generation of a large number of magetohydrodynamics (MHD) equilibria spanning the desired equilibrium space.
Mechanism design is a subfield of game theory that aims to design games whose equilibria have desired properties such as achieving high efficiency or high revenue.
Similarly, heating to 90 °C was essential to drive the equilibria to the desired BPin product 3 a: lower temperatures delivered mixtures of 3 a, 4, and 5.[ 11] Having identified the optimal reaction conditions for this speciation controlled chemoselective boronic ester synthesis, we next examined the scope of both the BPin and BMIDA coupling partners.
Analysis of the reaction time course revealed that under the optimized reaction conditions the initial cross-coupling event was complete in approximately 1 hour with the remaining reaction time (approx. 23 h) required to channel the equilibria to the desired product.
In order to overcome this, Pontryagin method is used in order to obtain a set of necessary conditions for an open-loop representation of the feedback solution: if both open-loop and feedback equilibria exist, Pontryagin will lead to the desired solution.
This step may have to be repeated many times before a yield of crystals of the desired purity is obtained, depending on the nature of the phase equilibria exhibited by the particular multicomponent system.
The generated candidate alloy compositions were then examined for phase equilibria and associated magnetic properties using a thermodynamic database in the desired temperature range.
as desired.
if desired.
In fact, desire and, in particular, rage energise the film, bursting apart its studied Enlightenment equilibria.
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