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The mathematical term well-posed problem (Hadamard well-posed) is defined that mathematical platforms of physical phenomena should have the following properties: (i) A solution exists.
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Lastly, from the known stars' position vectors in mathematical platform and reference frames, axes misalignment matrix representing SINS attitude errors can be estimated employing the derived relationship.
The proposed design permits fault detection and controller elements to be designed with considerations to stability and robustness towards uncertainties besides multiple faults environment on a common mathematical platform.
Then, using custom-made software developed using the mathematical platform R (R-Development-Core-Team), the data was processed.
As the modeling framework relies primarily on linear algebra and linear programming, general purpose mathematical software platforms, for example matlab (http://www.mathworks.com/) and mathematica (http://www.wolfram.com/), or optimization modeling packages, for example gams (http://www.gams.com/), are well suited.
Mathematical models and bioinformatics platforms that perform high level computational integrated pathway analysis may reveal clinical relevant signaling pathways amenable for targeting in individual patient tumors.
Mathematical models provide organizational platforms to generate hypotheses that allow for consistency while interpreting these heterogeneous data sets.
However, comparisons of the lists of genes derived from these studies showed that they overlap only slightly due to differences in the patient cohorts, microarray platforms, and mathematical methods of analysis [ 6].
So firstly, a mathematical model for the platform is developed.
The present work focuses on the mechanical and control design of a micrometer range positioning and tracking platform using mathematical models.
Mathematical models provide a platform for assessing the plausibility of these hypotheses to help direct future research efforts.
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