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The derivation procedure however differs slightly and will be outlined hereinafter.
This is an important finding which limits the applicability of the derivation procedure.
Analogous to the previous section, the same derivation procedure is employed to the nanopillar-patterned analytical model.
Since the pdf is also Gamma distributed as that of ZF case, the derivation procedure is similar.
A derivation procedure for the touchable area is proposed as a design guideline based on input behavior.
We deduce that the estimates of the macroscopic strength domain are the solutions to self-consistent equations and we give their derivation procedure.
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This appendix presents derivation procedures of (4), (5), (6), and (7) in the main text.
Derivation procedures of (4), (5), (6), and (7) are presented in Appendix.
More informative mathematical derivation procedures of energy dissipations, plastic potential, yield function and non-associated flow rules are presented.
These stresses are calibrated using a previously reported large-scale model test and the original Geddes solution, which validates the derivation procedures and formulae obtained.
Thus to some degree these findings also add some level of justification to the derivation procedures for the outcome variable (research utilization) in those earlier studies.
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