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The presented derivation is applied to a Mitsubishi PA10-6CE robotic manipulator mounted on a 2-DOF platform.
Although the following derivation is applied to raw counts, the same analysis can be applied to count rate measurements with no loss of generality if the count rates are calculated using equal time intervals of raw count measurements, and provided that the raw counts are sufficient to support the statistical analysis without introducing error secondary to insufficient sample size.
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For spatial filtering a small Laplacian derivation was applied.
To obtain a generally applicable formula for estimating SDHFUPR, a mathematical derivation was applied (see Statistics section).
We use (24) to obtain (A.9) from (A.8), and for the derivation of (A.10), (18) is applied.
Zhang (1998) completed derivation of water drive curve that is applied widely in the oilfields.
To illustrate the LQG power flow derivation for more realistic systems, it is applied to a two-dimensional sample problem.
The Manning theory of diffusion is applied and the derivation of evolution equations for all system parameters (site fractions, swelling/shrinkage and creep strain tensor) is provided.
The samples that pass the threshold test will now form new source and target subband signals on which cepstral and residual extraction is applied for the derivation of the particular conversion function.
A methodology for the probabilistic assessment of reinforced concrete (R/C) frames which takes into account material variability, confinement model uncertainty and the uncertainty in local and global failure criteria is applied for the derivation of vulnerability curves for the serviceability and ultimate limit states of a multi-storey frame designed to Eurocode 8.
During the derivation of stability conditions, Jensen's integral inequality is applied to deal with integral terms.
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