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Since this pattern is generated by a simple algebraic expression, it is very easy to compute any periodic pattern with arbitrary spacing, spatial offset, number of focal spots, focal distance or angle of the pattern, making it ideal as an approach for interactive or automatic alignment of multiple spots.
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The average beam pattern is also derived to show what the beam pattern with an arbitrary number of collaborative nodes will converge to.
The parameter is a weighting factor which is computed in Step 1 and the parameter is a pseudorandom (1, −1) bit pattern that generated with arbitrary seed and used in insertion process.
This section presents oil-withdrawal patterns for field development with arbitrary well patterns.
These patterns can be associated directly with arbitrary patterns if the number of elements is sufficient.
To overcome the restriction, this paper presents an alternative time-domain implementation structure for spherical modal beamformers using the Wigner-D function, which enables three-dimensional beam steering with arbitrary patterns.
The method is robust, can deal with an arbitrary number of alleles with arbitrary patterns of gene actions (such as additive and dominant), and allows for multiple phenotype data of various types in the joint analysis (e.g., multiple continuous traits and mixtures of continuous traits and discrete traits).
Further, by taking advantage of the fact that NIL moulds can be written with arbitrary patterns not necessarily of simple regular or periodic designs, we posit that complex three-dimensional nanostructures [35, 36] with applications in photonics and optoelectronics can similarly be generated on a manufacturing scale for widespread implementation.
Phi had, instead, set himself the idiosyncratic challenge of ensuring that the across entries would fit a fabulously arbitrary pattern, with the letters CA waltzing through them, midway performing a kind of open-reverse turn.
In Fig. 7, we show an example of this greedy algorithm for an arbitrary pattern with the same spike sequence as in Fig. 6.
We will demonstrate via simulation results the superiority of our proposed algorithms in terms of resolution, sidelobe suppression and applicability to signals with arbitrary sampling patterns.
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