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Minimizing the rank of a matrix with a given system of affine constraints is to recover the lowest-rank matrix with many important applications in engineering and science.
Recently they have been used to model users interactions with a given system in order to satisfy their needs through adequate responses.
P y t |x t ): The observation likelihood function of y t with a given system state.
This result underpins the significance of knowledge acquisition by interacting with a given system (Goode and Beckmann 2010; Sonnleitner et al. 2013).
With a given system, certain individuals/groups hold key power positions, but change the system and the power flows in unpredictable directions.
Once you start with a given system, stick with it for that photo album.
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If \(ds\) is given by an expression \(F_{p}(dx^{1}, \ldots,dx^{n})\) with respect to a given system of coordinates, then with respect to another system of coordinates, \(ds\) is given by a function that is related to \(F_{p}(dx^{1}, \ldots,dx^{n})\) by a linear, homogeneous transformation of its arguments \(dx^{i}\).
The net return associated with animal activity in a given system can be derived by subtracting the costs of this activity (damage inflicted) from the benefits (ecosystem services provided).
The IDNP is then applied to design an inexact optimal system with budget limit instead of finding the optimum in a given system with fixed resources in a water resources planning case.
Knowledge of the underlying factors should enable designers to engineer the optimum design for a given system with prescribed conditions.
Such control may be achieved in an open-loop manner by administering light-induced perturbations to a given system with the goal of achieving a prescribed expression profile.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com