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We will do this for each spacecraft and use the outcome for an ambiguity constrained solution on the baseline between the spacecraft.
This speed does come at the cost of a constrained solution.
Thus, the theoretical formulation simplifies into a non-linear extremal problem with a constrained solution due to a singularity which is solved analytically.
When using the abovementioned approaches in analysis of multiple member structural systems, the designer is required to arrange the directions of bow imperfections or equivalent transverse loads in such a way that the imperfection arrangement leads to the least constrained solution, i.e. the lowest ultimate load predicted from all possible sets of member initial imperfection arrangements.
As one specific detail, calculation of replacement cost requires full re-optimisation for the constrained solution: the constrained solution is not simply the optimal solution minus the areas that cannot be had (Cabeza & Moilanen, 2006).
Replacement cost has a mathematically clear definition (Cabeza & Moilanen, 2006), measured via the difference between an optimal unconstrained and optimal constrained solution.
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Reachable sets of bang-bang constrained solutions are convex; an application to the calculus of variations yields a density result.
Considering operation around a steady state of a dynamical system, the task of the algorithm consists on finding a set of optimal, but constrained solutions.
Validity of its application is a questionable proposition for small values of α even slightly higher than this lower bound since the theory gives highly constrained solutions for displacements.
The use of multiple calibrations as constraints on the nodes of interest has the advantage of using empirical data to constrain solutions.
Solute transport in karst aquifers is primarily constrained to solution conduits where transport is rapid, turbulent, and relatively unrestrictive.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com