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The three transducers are tuned to be suitable dimensions, under which they have very close 1st longitudinal resonance frequencies; the working frequency of the piezoelectric actuator is designed to be about 31.3 kHz.
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Reliability test is the most widely used method to measure internal consistency of variables, and exploratory factor analysis is a technique whose major goal is to identify the underlying relationships between the measured variables and their corresponding dimension under which they are grouped.
Gaining knowledge of peoples' perceptions of air pollution is important, as it reflects the social dimensions and circumstances under which people understand pollution [ 6].
In addition to assessing the impact of growing complexity in each functional area along either dimension, we further investigate the conditions under which complexity between the dimensions or functional areas may be coactive or conflicting.
In this paper, a moving least squares scheme is presented which is an appropriate tool for use when solving partial differential equations in two dimensions, and the precise conditions under which singularities occur are identified.
Thus, searching for the informative genes that are associated with the class differentiation, is equivalent to searching for the subset of dimensions for an "ideal pattern", under which the neighborhood (defined in the multi-gene expression profile space) of a class I individual contains mostly (if not exclusively) points with class I labels.
The conditions under which importance sampling is applicable in high dimensions are investigated, where the focus is put on the common case of standard Gaussian uncertain parameters.
Particularly, we consider under which conditions instabilities arise that cause the dimensions of the artery to drift in a manner similar to the development of an aneurysm.
We implement the method in two space dimensions for a more complex compressible flow computation, intended to simulate conditions under which many production CFD codes are running.
However, we suggest that another, overlooked, area of significant influence might lie in the human dimensions of reintroduction - specifically, the types of leadership and styles of management under which reintroduction programs are operated.
Different aggregate structures, characterized by their fractal dimension, were finally predicted depending on the hydrodynamic nature of the main flow under which they were produced.
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