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This potential has its application where its components are useful.
We assume that p⪢n, i.e. the number of components p is much larger than the number of samples n, and that only few of those p components are useful for subsequent classification.
By definition, the principal components are useful linear combinations of original variables, and as such they can be analyzed by any statistical methods, in the same way as any other formulas or transformations of the original variables can be analyzed.
Specific imaging features, such as "prominent feeding artery sign", dynamic diffuse enhancement pattern during hepatic arterial phase, and fatty components are useful for identifying the origin and nature of liver tumors [ 6, 8, 9].
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Failure analysis of mechanical components is useful in predicting applied load as well as load type.
The assessment of collective appreciation of the functions of forests and other landscape components is useful for opening discussions about landscape management strategies.
The symptoms of a compromised component are useful in detecting security breaches and must be considered when performing further analysis.
This component is useful when you have technical specifications of the installed flat plate collector as in our case.
To support the maintenance processes of a wide range of industrial services, a knowledge-based component is useful to perform the intelligent monitoring.
A separate knowledge representation component is useful for software engineering purposes it is much better to have a single representation of a general fact that can have many different uses, since this makes the system easier to develop and to modify.
The 2D map in ArcGIS Flexviewer is mainly for hazard query, spatial statistics and map overlaying analysis during routines, while the 3D scene in Skyline ActiveX component is useful in terrain exploration, rainfall situation analysis and sketch map plotting in emergencies.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com