This difference enables to "separate" the recessive solution from dominant ones and to formulate for it a necessary and sufficient condition (2.4).
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In other words, rather than standard medicines that are formulated for everyone, it may be possible to create personal prescriptions based on a person's DNA.
It is formulated for compact subsets, but it works for arbitrary nonempty subsets of a Banach space (see also [1], Proposition 3.2).
In fact, the result in [8] is only formulated for selfmaps, but it is straight forward to generalize the proof to the setting in Theorem 2.6.
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Since the system (1) is formulated for multi-agent users, it is enough to show that (1) has multi-solutions.
When a mathematical model is formulated for a physical problem, it is often represented by equations of a one-mass system with two degrees of freedom that are mostly described using a second-order differential equation, and these equations are not solvable exactly by analytic techniques.
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Although EPH was originally formulated for explaining unconstrained movements, it was later extended to the control of static contact forces in constrained movements by assuming that the same equilibrium position that guides the execution of free movements could be shifted beyond the constraint, inducing a contact force as a consequence of such shift and the intrinsic muscle stiffness [30].
