GPS-X Technical Reference

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Table 15-1 – Statistical Measures and Equations No. Statistical Measure Equation 1 Mean of Residuals 2 Mean of Absolute Residual 3 Mean of Squared Residual Miscellaneous 416 n 1 n ∑(O i − P i ) i=1 n 1 n ∑|O i − P i | i=1 n 1 n ∑(O i − P i ) 2 4 Absolute Maximum Residual max [|O i − P i |] 5 Root of Mean Squared Residuals √ 1 n ∑(O i − P i ) 2 6 Mean of Relative Residual 7 Mean of Absolute Relative Residual 8 Mean of Squared Relative Residual 9 Relative Volume Residuals 10 Absolute Relative Volume Residuals 11 Theil's Inequality Coefficient i=1 n i=1 n 1 n ∑ (O i − P i ) i=1 n O i 1 n ∑ |O i − P i | i=1 n O i 2 1 n ∑ (O i − P i ) O i i=1 ∑ n i=1(O i − P i ) ∑n i=1 O i ∑ n i=1|O i − P i | ∑n i=1 O i ∑ n i=1(O i − P i ) 2 ∑n 2 i=1 O i 12 Nash-Sutcliffe (R2) 1 − ∑ n i=1 (O i − P i ) 2 ∑ n i=1(O i − O m ) 2 13 Standard deviation of Residuals (SDR) √ 1 n ∑(R i − MR) 2 n i=1 14 Mean of Standardized Residuals n 1 n ∑ (O i − P i ) i=1 √ 1 n ∑ (O i − P i ) 2 n i=1 Legend: O i P i O m n i R i MR = the observed (measured) value = the predicted (simulated) value = mean of the observed (measured value) = number of data points = the ith observation = (O i - P i) = residual (error) = Mean of Residuals GPS-X Technical Reference
417 Miscellaneous A typical GPS-X output showing the calculated statistical indices given quality indicator is as shown in Figure 15-3. Figure 15-3 - Summary of the Statistical Measures Calculated for a Time Series Dataset GPS-X Technical Reference
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GPS-X Technical Reference GPS-X Ver
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Table of Contents iii Table of Cont
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v Table of Contents Sedimentation M
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vii Table of Contents Real Time Clo
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ix Table of Contents Figure 6-6 - P
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xi Table of Contents Figure 10-8 -
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xiii Table of Contents Figure 15-6
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xv Table of Contents Table 6-2 - Mo
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17 Modelling Fundamentals Experimen
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19 Modelling Fundamentals The proce
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21 Modelling Fundamentals Overview
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23 Modelling Fundamentals Primary a
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25 Modelling Fundamentals Vesilin
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27 GPS-X Objects CHAPTER 2 GPS-X Ob
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29 GPS- X Objects The mass balance
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31 GPS- X Objects Combining Equatio
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33 GPS-X State Variable Libraries S
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35 GPS-X State Variable Libraries C
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37 GPS-X State Variable Libraries C
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39 GPS-X Composite Variable Librari
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41 GPS-X Composite Variable Calcula
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55 Composite Variable Calculations
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61 Influent Models CHAPTER 5 Influe
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63 Influent Models Figure 5-3 - Inf
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65 Influent Models The three influe
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67 Influent Models Total runoff (Q
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69 Influent Models These inputs are
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71 Influent Models CODFractions COD
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73 Influent Models TSSCOD Figure 5-
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75 Influent Models Figure 5-13 - CN
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77 Influent Models CN and CNIP Libr
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83 Influent Models INFLUENT OBJECTS
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85 Influent Models Figure 5-22 - In
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87 Influent Models Chemical Dosage
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89 Influent Models Figure 5-29 - Ac
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91 Influent Models Figure 5-33 - Se
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93 Influent Models Figure 5-36 - Se
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95 Suspended Growth Models where: V
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97 Suspended Growth Models The baro
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99 Suspended Growth Models Oxygen M
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101 Suspended Growth Models In the
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103 Suspended Growth Models The SOT
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105 Suspended Growth Models Standar
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107 Suspended Growth Models The reg
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109 Suspended Growth Models SUMMARY
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111 Suspended Growth Models Figure
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113 Suspended Growth Models General
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115 Suspended Growth Models Number
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117 Suspended Growth Models Elevati
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121 Suspended Growth Models AERATIO
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123 Suspended Growth Models The ent
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125 Suspended Growth Models The org
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127 Suspended Growth Models Process
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129 Suspended Growth Models It i
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131 Suspended Growth Models Nitroge
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133 Suspended Growth Models Include
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135 Suspended Growth Models
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137 Suspended Growth Models Althoug
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139 Suspended Growth Models Particu
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141 Suspended Growth Models 9. Grow
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143 Suspended Growth Models 21. Sto
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145 Suspended Growth Models 33. Gro
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147 Suspended Growth Models To mode
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149 Suspended Growth Models Algebra
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151 Suspended Growth Models The sto
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153 Suspended Growth Models Decay o
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155 Suspended Growth Models SUGGEST
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157 Suspended Growth Models Special
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159 Suspended Growth Models Table 6
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161 Suspended Growth Models The GPS
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163 Suspended Growth Models where:
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165 Suspended Growth Models The max
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167 Suspended Growth Models If yo
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169 Suspended Growth Models ANAEROB
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171 Suspended Growth Models Simple
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173 Suspended Growth Models With th
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175 Suspended Growth Models Manual
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177 Suspended Growth Models Equatio
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179 Suspended Growth Models The met
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181 Suspended Growth Models Pond Mo
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183 Suspended Growth Models Special
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185 Suspended Growth Models Se
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187 Suspended Growth Models aerated
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193 Suspended Growth Models Calcula
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195 Suspended Growth Models The vap
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197 Suspended Growth Models Oxygen
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199 Suspended Growth Models Estimat
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203 Suspended Growth Models Enterin
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209 Suspended Growth Models MODELLI
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211 Suspended Growth Models TEMPERA
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213 Suspended Growth Models Table 6
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215 Suspended Growth Models The PAC
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217 Suspended Growth Models CHAPTER
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219 Attached-Growth Models Each lay
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221 Attached-Growth Models Equation
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223 Attached-Growth Models The mode
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225 Attached-Growth Models The phys
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227 Attached-Growth Models Liquid F
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229 Attached-Growth Models This con
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231 Attached-Growth Models The next
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233 Attached-Growth Models The SBC
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235 Attached-Growth Models Based on
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237 Attached-Growth Models Operatio
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239 Attached-Growth Models Hydrauli
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241 Attached-Growth Models ADVANCED
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243 Attached-Growth Models Filtrati
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245 Attached-Growth Models Operatio
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247 Attached-Growth Models This for
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249 Attached-Growth Models HYBRID S
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251 Attached-Growth Models Figure 7
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253 Sedimentation and Flotation Mod
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267 Sand Filtration Models Floatati
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269 Sand Filtration Models The back
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271 Sand Filtration Models The mass
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273 Sand Filtration Models Figure 9
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275 Digestion Models Figure 10-1 -
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277 Digestion Models Seven yield co
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279 Digestion Models Based on the a
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281 Digestion Models Combining the
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283 Digestion Models The Operationa
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285 Digestion Models Kinetic and St
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287 Digestion Models The rest of th
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291 Digestion Models ADM1 State Var
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293 Digestion Models AEROBIC DIGEST
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297 Other Models CHAPTER 11 Other M
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299 Others Models High volume for p
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301 Others Models The sludge pretre
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303 Others Models With a large over
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305 Others Models Dosage Controller
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307 Others Models The set of above
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309 Others Models There are three p
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311 Others Models DISINFECTION UNIT
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313 Others Models DEWATERING Four m
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315 Others Models The optimal polym
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317 Others Models DISC AND BELT MIC
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319 Others Models Figure 11-12 - Pl
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321 Others Models Physical Setup Fo
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323 Others Models Exponential const
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325 Others Models BLACK BOX The Bla
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327 Tools Object Figure 11-19 - Spe
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329 Tools Object Figure 11-21 - Inp
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331 Tools Object Typical Model Outp
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333 Tools Object The variable speed
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335 Tools Object SLUDGE EFFLUENT BU
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337 Tools Object PH TOOL Take a sam
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339 Tools Object These concentratio
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341 Tools Object LOW-PASS FILTERING
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343 Tools Object Control Variable P
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345 Tools Object The individual mod
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347 Tools Object PID in Position Fo
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349 Tools Object The following para
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351 Tools Object The controller tun
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353 Tools Object When both the proc
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355 Tools Object TIMER CONTROL The
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357 Tools Object Controller - The c
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359 Tools Object (qcon is the crypt
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361 Operating Cost Models CHAPTER 1
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363 Operating Cost Models The energ
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Page 373 and 374: 373 Optimizer If after the reflecti
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Page 381 and 382: 381 Optimizer SUMMARY OF THE OPTIMI
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Page 409 and 410: 409 Optimizer APPENDIX C: NOMENCLAT
Page 411 and 412: 411 Optimizer APPENDIX D: REFERENCE
Page 413 and 414: 413 Miscellaneous CHAPTER 15 Miscel
Page 415: 415 Miscellaneous As compared to th
Page 419 and 420: 419 Miscellaneous RESIDUAL PLOTS Fo
Page 421 and 422: 421 Miscellaneous Figure 15-6 - Res
Page 423 and 424: 423 Miscellaneous REAL TIME CLOCK T
Page 425 and 426: 425 Miscellaneous Figure 15-9 - Ste
Page 427 and 428: 427 Miscellaneous Figure 15-11 - In
Page 429 and 430: 429 Miscellaneous The smoothing fun
Page 431 and 432: 431 Miscellaneous The Gear's Stiff
Page 433 and 434: Appendix A - Petersen Matrices A-1
Page 437 and 438: ASM2d in CNPLIB Appendix A - Peters
Page 439 and 440: 15 Lysis of XBP 16 Lysis of XPP 17
Page 443 and 444: NewGeneral in CNPLIB Appendix A - P
Page 445 and 446: NewGeneral in CNPLIB Appendix A - P
Page 447 and 448: Component i Process Rates Appendix
Page 449: Appendix A - Petersen Matrices A-17
Page 452 and 453: 2 Appendix A - Prefermenter Peterse
Page 460 and 461: D-2 Appendix D - References Brockwe
Page 462 and 463: D-4 Appendix D - References Hur, D.
Page 464 and 465: D-6 Appendix D - References Reilly,
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D-8 Appendix D - References Wuhrman
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