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Because the dimension of stock price series is high, the symbolic aggregate approximation (SAX) and extended symbolic aggregate approximation (ESAX) are selected to transform data points into symbols.
However, it becomes a bottleneck on considering the recursive state estimation because the dimension of state space changes from one time to another during the identification proceeds.
However, the outcome is highly dependent on this grouping because the dimension of each element and, consequently, the overall cost, will be determined by the element that is the most stressed in each group.
The purpose of introducing equivalent boundary springs was to simulate the interaction of the pipeline-soil more sufficiently, because the dimension of current models was far smaller than the actual one of the interaction of the pipeline-soil.
This means that F is not full rank matrix, because the dimension of F is 6×6.
Moreover, because the dimension of device decreases more rapidly in comparison with operating voltage, electric field applied upon the gate dielectric would increase more quickly.
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An important disadvantage of this approach is that heterogeneity within a group cannot be incorporated and the number of groups usually should be small because, otherwise, the dimension of the model is too large for qualitative analysis.
Because of the dimension of the models, the pilot areas are published in ArcGIS online, accessible in a CityEngine Web Viewer with several possibilities of visualization, navigation, querying, and comparison of layers.
This is because only the dimension of the DFT prebeamforming is reduced and other matrices are not affected since the number of BS antennas is fixed.
Unfortunately, Microsoft is still unrivaled at writing scary, unhelpful error messages ("Because of the dimensions of this picture, rotating it might permanently reduce its quality. Do you want to proceed?").
As a matter of fact, the spreading resistance probe (SRP) technique commonly used for carrier profiling is not suited anymore for ultra-shallow junction profiling, mainly because of the dimensions of the measurement tool.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com