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Prior modeling approaches to perovskite redox processes do not provide exact closure of the energy balance or thermodynamic consistency for calculating enthalpies and exergies of multiphase solid gas flows needed in system-level process analysis.
□ Let us now formulate the exact closure relations and prove our main result.
The exact closure and fit of the flange to the acetabular rim is dependent on what shape the flange has and how well it is trimmed to fit by the surgeon.
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We conjecture that exact closures of a similar nature to those considered here are possible for networks with more structure, given that the order at which the closure is performed is guided by the network structure; future work will focus on this question.
Future exact-closure pattern.
3. Future exact-closure pattern .
Maximum, and minimum pattern swing impulses for exact-closure: .
Exact-closure swing: this is expressed as the value of ( bar{D}_{j}^ ) with magnitude equal to ( lambda_{j - 1} ) but opposite in polarity.
Employing these observations, five unique fuzzy VPCPSs which exist in any characteristic variation curve were identified as open (( O^{ L})), escalation (( E^{L} )), exact-closure (( C^{L} )), closure-lag ( left[ {U^{L} } right] ) and closure-lead ( left( {V^{L} } right) ).
Maximum, and minimum pattern swing impulses for exact-closure: C_{hbox{min} }^{I} = hbox{min} (hat{C}_{i} )., C_{hbox{max} }^{I} = hbox{max} (hat{C}_{i} ) (B8) hat{C}_{i} = pleft( i right) - qleft( i right) cdot pleft( i right) = j, left{ {Fleft( {O_{j}^{L} } right) = 1} right} cdot qleft( i right) = j, left{ {Fleft( {C_{j}^{L} } right) = 1} right}.
Past studies have shown that care should be exercised in applying vocal tract inverse filtering for glottal source waveform estimation when voice characteristics are under pathology [33], since determining the exact glottal closure instant (GCI) is not always possible.
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