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The extension to cyclic translation cases can be generated by considering steady cyclic states of wear processes.
Additional metrics can be generated by considering monotone transformations of previously defined formulas.
Then, a 2D correlated random shadowing can be generated by considering the extracted 2D deterministic shadowing to be a realization of it.
(Note that it is not essential to the case that the two contexts of assessment are at different times; much the same intuitions can be generated by considering cases of 'eavesdropping,' in which one party overhears the utterance of some other group which lacks some of its evidence).
Constant speed waves in a chain of identical oscillators can be generated by considering phase-locked solutions defined by (varphi_{i} = varphi) for all i, with a collective period of oscillation Ω determined using ({mathrm {d}theta_{1}}/{mathrm {d}t} = varOmega) to give (varOmega=omega_{1} + W_ H varphi_{1})).
Under the null with random selection, the simple linear regression method produces biased estimates, as does the QTDTM method in which the correct α's are replaced by those that would be generated by considering the loci individually.
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The local energy is generated by considering both local spatial and gray level/color information.
Fixturing features are generated by considering forces and moments involved in machining.
Simple tuning rules are generated by considering specific values for the maximum sensitivity value.
Optimal reserve networks were generated by considering the trade-offs between area and connectivity, as measured according to correlation length.
First, to determine the optimal solution, a total of 30,407,832 possible scenarios were generated by considering various factors in terms of their high availability.
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