.MCAD 303010000 1 82 16801 0 .CMD PLOTFORMAT 0 0 1 0 2 0 1 0 0 1 0 2 0 1 1 1 0 0 NO-TRACE-STRING 2 2 1 0 NO-TRACE-STRING 0 3 2 0 NO-TRACE-STRING 0 4 3 0 NO-TRACE-STRING 0 1 4 0 NO-TRACE-STRING 0 2 5 0 NO-TRACE-STRING 0 3 6 0 NO-TRACE-STRING 0 4 0 0 NO-TRACE-STRING 0 1 1 0 NO-TRACE-STRING 0 2 2 0 NO-TRACE-STRING 0 3 3 0 NO-TRACE-STRING 0 4 4 0 NO-TRACE-STRING 0 1 5 0 NO-TRACE-STRING 0 2 6 0 NO-TRACE-STRING 0 3 0 0 NO-TRACE-STRING 0 4 1 0 NO-TRACE-STRING 0 0 21 15 0 3 .CMD FORMAT rd=d ct=10 im=i et=6 zt=5 pr=2 mass length time charge temperature tr=0 vm=1 .CMD SET ORIGIN 1 .CMD SET TOL 0.001000000000000 .CMD SET PRNCOLWIDTH 8 .CMD SET PRNPRECISION 4 .CMD PRINT_SETUP 1.000000 0.500000 0.500000 0.500000 0 .CMD HEADER_FOOTER 1 0 *empty* *empty* *empty* 0 0 *empty* *empty* *empty* .CMD HEADER_FOOTER_FONT fontID=14 family=Arial points=10 bold=0 italic=0 underline=0 .CMD HEADER_FOOTER_FONT fontID=15 family=Arial points=10 bold=0 italic=0 underline=0 .CMD DEFINE_FONTSTYLE_NAME fontID=0 name=Variables .CMD DEFINE_FONTSTYLE_NAME fontID=1 name=Constants .CMD DEFINE_FONTSTYLE_NAME fontID=2 name=Text .CMD DEFINE_FONTSTYLE_NAME fontID=4 name=User^1 .CMD DEFINE_FONTSTYLE_NAME fontID=5 name=User^2 .CMD DEFINE_FONTSTYLE_NAME fontID=6 name=User^3 .CMD DEFINE_FONTSTYLE_NAME fontID=7 name=User^4 .CMD DEFINE_FONTSTYLE_NAME fontID=8 name=User^5 .CMD DEFINE_FONTSTYLE_NAME fontID=9 name=User^6 .CMD DEFINE_FONTSTYLE_NAME fontID=10 name=User^7 .CMD DEFINE_FONTSTYLE fontID=0 family=Times^New^Roman points=10 bold=0 italic=0 underline=0 .CMD DEFINE_FONTSTYLE fontID=1 family=Times^New^Roman points=10 bold=0 italic=0 underline=0 .CMD DEFINE_FONTSTYLE fontID=2 family=Times^New^Roman points=10 bold=0 italic=0 underline=0 .CMD DEFINE_FONTSTYLE fontID=4 family=Courier points=15 bold=0 italic=0 underline=0 .CMD DEFINE_FONTSTYLE fontID=5 family=Courier^New points=10 bold=0 italic=0 underline=0 .CMD DEFINE_FONTSTYLE fontID=6 family=System points=10 bold=0 italic=0 underline=0 .CMD DEFINE_FONTSTYLE fontID=7 family=Script points=10 bold=0 italic=0 underline=0 .CMD DEFINE_FONTSTYLE fontID=8 family=Roman points=10 bold=0 italic=0 underline=0 .CMD DEFINE_FONTSTYLE fontID=9 family=Modern points=10 bold=0 italic=0 underline=0 .CMD DEFINE_FONTSTYLE fontID=10 family=Times^New^Roman points=10 bold=0 italic=0 underline=0 .CMD UNITS U=1 .CMD DIMENSIONS_ANALYSIS 0 0 .TXT 4 1 16737 0 Cg b84.000000,84.000000,213 {\rtf1\ansi \deff0 {\fonttbl {\f0\fnil Times New Roman;} {\f1\fnil Symbol;} {\f2\fnil Arial;} } {\plain {Updraft Properties Calculations for article submitted to Tellus entitled:\par "Entrainment and Detrainment Required to Explain Updraft Properties and Work Dissipation."\par by: L. Michaud\par Documented June 14, 1997.\par }} } .TXT 11 0 16139 0 Cg a34.750000,85.375000,38 {\rtf1\ansi \deff0 {\fonttbl {\f0\fnil Times New Roman;} {\f1\fnil Symbol;} {\f2\fnil Arial;} } {\plain {ATMOSPHERIC THERMODYNAMIC FUNCTIONS}} } .TXT 3 0 16140 0 Cg b84.000000,84.000000,267 {\rtf1\ansi \deff0 {\fonttbl {\f0\fnil Times New Roman;} {\f1\fnil Symbol;} {\f2\fnil Arial;} } {\plain {This section contains the standard thermodynamic functions\par which can be used with any program. \par The program does not use all these functions.\par Go to page 6 for the start of the specific calculations \par and come back here to check the function used if necessary. }} } .TXT 13 0 16141 0 Cg a30.000000,85.375000,47 {\rtf1\ansi \deff0 {\fonttbl {\f0\fnil Times New Roman;} {\f1\fnil Symbol;} {\f2\fnil Arial;} } {\plain {Enter Freezing temperature and freezing band}} } .EQN 4 0 16142 0 {0:TFC}NAME~0 .EQN 0 14 16143 0 {0:FB}NAME~10 .TXT 5 -14 16144 0 Cg a13.625000,20.250000,23 {\rtf1\ansi \deff0 {\fonttbl {\f0\fnil Times New Roman;} {\f1\fnil Symbol;} {\f2\fnil Arial;} } {\plain {1.0 Define constants}} } .EQN 2 40 16145 0 {0:KA}NAME~(2)/(7) .EQN 2 -40 16146 0 {0:CPA}NAME~1004.675 .EQN 0 19 16147 0 {0:RA}NAME~{0:CPA}NAME*{0:KA}NAME .EQN 6 21 16148 0 {0:KV}NAME~(1)/(4) .EQN 2 -40 16149 0 {0:CPV}NAME~1846.04 .EQN 0 19 16150 0 {0:RV}NAME~{0:CPV}NAME*{0:KV}NAME .EQN 3 21 16151 0 {0:\e}NAME~({0:RA}NAME)/({0:RV}NAME) .EQN 3 -40 16152 0 {0:P0}NAME~100 .EQN 0 19 16153 0 {0:PV0}NAME~0.61068 .EQN 3 -19 16154 0 {0:T0}NAME~273.15 .EQN 0 19 16155 0 {0:TF}NAME~{0:T0}NAME+{0:TFC}NAME .EQN 0 20 16156 0 {0:G}NAME~9.8 .EQN 4 -39 16157 0 {0:PG}NAME~70 .EQN 0 19 16158 0 {0:TG}NAME~280 .EQN 0 18 16159 0 {0:MG}NAME~0.01 .EQN 4 -37 16160 0 {0:LV0}NAME~2500840 .EQN 0 19 16161 0 {0:LF0}NAME~333660 .EQN 4 -19 16162 0 {0:CW}NAME~4190 .EQN 0 19 16163 0 {0:CI}NAME~2090 .EQN 4 -19 16164 0 {0:\aL}NAME~52.91688 .EQN 0 19 16165 0 {0:\aI}NAME~25.48597 .EQN 3 -19 16166 0 {0:\bL}NAME~6806.171 .EQN 0 19 16167 0 {0:\bI}NAME~6286.1912 .EQN 3 -19 16168 0 {0:\GL}NAME~5.078893 .EQN 0 19 16169 0 {0:\GI}NAME~0.528613 .TXT 3 -19 16793 0 C x1,1,0,0 .TXT 5 0 16170 0 Cg a43.875000,65.250000,68 {\rtf1\ansi \deff0 {\fonttbl {\f0\fnil Times New Roman;} {\f1\fnil Symbol;} {\f2\fnil Arial;} } {\plain {2.0 FUNCTIONS: Vapor pressure, mixing ratio, virtual temperature}} } .EQN 5 0 16171 0 {0:fPVL}NAME({0:T}NAME)~{0:exp}NAME({0:\aL}NAME-({0:\bL}NAME)/({0:T}NAME)-{0:\GL}NAME*{0:ln}NAME({0:T}NAME)) .EQN 7 0 16172 0 {0:fPVI}NAME({0:T}NAME)~{0:exp}NAME({0:\aI}NAME-({0:\bI}NAME)/({0:T}NAME)-{0:\GI}NAME*{0:ln}NAME({0:T}NAME)) .EQN 7 0 16173 0 {0:fPV}NAME({0:T}NAME)~{0:if}NAME({0:T}NAME>{0:TF}NAME,{0:fPVL}NAME({0:T}NAME),{0:fPVI}NAME({0:T}NAME)) .EQN 6 0 16174 0 {0:fMVS}NAME({0:P}NAME,{0:T}NAME)~{0:\e}NAME*(({0:fPV}NAME({0:T}NAME))/({0:P}NAME-{0:fPV}NAME({0:T}NAME))) .EQN 7 0 16175 0 {0:fMVL}NAME({0:P}NAME,{0:T}NAME)~{0:\e}NAME*(({0:fPVL}NAME({0:T}NAME))/({0:P}NAME-{0:fPVL}NAME({0:T}NAME))) .EQN 7 0 16176 0 {0:fPV2}NAME({0:P}NAME,{0:M}NAME)~{0:M}NAME*({0:P}NAME)/({0:M}NAME+{0:\e}NAME) .EQN 6 0 16177 0 {0:fMS3}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME)~{0:fMVS}NAME({0:P}NAME,{0:T}NAME) .EQN 3 0 16178 0 {0:fMV3}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME)~{0:if}NAME({0:fMVS}NAME({0:P}NAME,{0:T}NAME)>{0:M}NAME,{0:M}NAME,{0:fMVS}NAME({0:P}NAME,{0:T}NAME)) .EQN 4 0 16179 0 {0:fU3}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME):100*(({0:M}NAME)/({0:fMVS}NAME({0:P}NAME,{0:T}NAME))) .EQN 6 0 16181 0 {0:fPV3}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME)~{0:fMV3}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME)*({0:P}NAME)/({0:\e}NAME+{0:fMV3}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME)) .EQN 5 0 16182 0 {0:fPA3}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME)~{0:P}NAME-{0:fPV3}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME) .EQN 4 0 16183 0 {0:fMC3}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME)~{0:if}NAME({0:fMVS}NAME({0:P}NAME,{0:T}NAME)<{0:M}NAME,{0:M}NAME-{0:fMVS}NAME({0:P}NAME,{0:T}NAME),0) .EQN 4 0 16184 0 {0:fMLB}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME)~{0:if}NAME({0:T}NAME>{0:TF}NAME-{0:FB}NAME,{0:fMC3}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME)*({0:T}NAME-{0:TF}NAME+{0:FB}NAME)/({0:FB}NAME),0) .EQN 8 0 16185 0 {0:fML3}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME)~{0:if}NAME({0:T}NAMEň{0:TF}NAME,{0:fMC3}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME),{0:fMLB}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME)) .EQN 6 0 16186 0 {0:fMIB}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME)~{0:if}NAME({0:T}NAME<{0:TF}NAME,{0:fMC3}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME)*({0:TF}NAME-{0:T}NAME)/({0:FB}NAME),0) .EQN 6 0 16187 0 {0:fMI3}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME)~{0:if}NAME({0:T}NAME<{0:TF}NAME-{0:FB}NAME,{0:fMC3}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME),{0:fMIB}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME)) .TXT 3 0 16791 0 C x1,1,0,0 .TXT 3 0 16188 0 Cg a9.250000,11.250000,14 {\rtf1\ansi \deff0 {\fonttbl {\f0\fnil Times New Roman;} {\f1\fnil Symbol;} {\f2\fnil Arial;} } {\plain {3.0 ENTROPY}} } .EQN 4 0 16189 0 {0:fSA}NAME({0:P}NAME,{0:T}NAME)~{0:CPA}NAME*{0:ln}NAME(({0:T}NAME)/({0:T0}NAME))-{0:RA}NAME*{0:ln}NAME(({0:P}NAME)/({0:P0}NAME)) .EQN 8 0 16190 0 {0:fSV}NAME({0:P}NAME,{0:T}NAME)~{0:CPV}NAME*{0:ln}NAME(({0:T}NAME)/({0:T0}NAME))-{0:RV}NAME*{0:ln}NAME(({0:P}NAME)/({0:PV0}NAME))+({0:LV0}NAME)/({0:T0}NAME) .EQN 8 0 16191 0 {0:fSL}NAME({0:T}NAME)~{0:CW}NAME*{0:ln}NAME(({0:T}NAME)/({0:T0}NAME)) .EQN 8 0 16192 0 {0:fSI}NAME({0:T}NAME)~{0:CI}NAME*{0:ln}NAME(({0:T}NAME)/({0:T0}NAME))-({0:LF0}NAME)/({0:T0}NAME) .EQN 8 0 16193 0 {0:fSA3}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME)~{0:fSA}NAME({0:fPA3}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME),{0:T}NAME) .EQN 3 0 16194 0 {0:fSV3}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME)~{0:fMV3}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME)*{0:fSV}NAME({0:fPV3}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME),{0:T}NAME) .EQN 3 0 16195 0 {0:fSL3}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME)~{0:fML3}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME)*{0:fSL}NAME({0:T}NAME) .EQN 3 0 16196 0 {0:fSI3}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME)~{0:fMI3}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME)*{0:fSI}NAME({0:T}NAME) .EQN 3 0 16197 0 {0:fST3}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME)~{0:fSA3}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME)+{0:fSV3}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME)+{0:fSL3}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME)+{0:fSI3}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME) .EQN 5 0 16198 0 {0:fSM3}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME):({0:fST3}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME))/((1+{0:M}NAME)) .EQN 4 0 16199 0 {0:fSC}NAME({0:T}NAME)~{0:if}NAME({0:T}NAME>{0:TF}NAME,{0:fSL}NAME({0:T}NAME),{0:fSI}NAME({0:T}NAME)) .EQN 4 0 16200 0 {0:fAA3}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME)~{0:fSA}NAME({0:P}NAME,{0:T}NAME)+{0:M}NAME*{0:fSC}NAME({0:T}NAME) .EQN 7 0 16201 0 {0:f\qM4}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME,{0:PC}NAME)~{0:T}NAME*((({0:PC}NAME)/({0:P}NAME)))^(({0:RA}NAME+{0:M}NAME*{0:RV}NAME)/({0:CPA}NAME+{0:M}NAME*{0:CPV}NAME)) .TXT 9 0 16202 0 C x1,1,0,0 .TXT 5 0 16203 0 Cg a10.375000,12.250000,15 {\rtf1\ansi \deff0 {\fonttbl {\f0\fnil Times New Roman;} {\f1\fnil Symbol;} {\f2\fnil Arial;} } {\plain {4.0 ENTHALPY}} } .EQN 4 0 16204 0 {0:fHA}NAME({0:T}NAME)~{0:CPA}NAME*({0:T}NAME-{0:T0}NAME) .EQN 3 0 16205 0 {0:fHV}NAME({0:T}NAME)~({0:CPV}NAME*({0:T}NAME-{0:T0}NAME)+{0:LV0}NAME) .EQN 3 0 16206 0 {0:fHL}NAME({0:T}NAME)~({0:CW}NAME*({0:T}NAME-{0:T0}NAME)) .EQN 3 0 16207 0 {0:fHI}NAME({0:T}NAME)~({0:CI}NAME*({0:T}NAME-{0:T0}NAME)-{0:LF0}NAME) .EQN 4 0 16208 0 {0:fHA3}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME)~{0:fHA}NAME({0:T}NAME) .EQN 3 0 16209 0 {0:fHV3}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME)~{0:fMV3}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME)*{0:fHV}NAME({0:T}NAME) .EQN 3 0 16210 0 {0:fHL3}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME)~{0:fML3}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME)*{0:fHL}NAME({0:T}NAME) .EQN 3 0 16211 0 {0:fHI3}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME)~{0:fMI3}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME)*{0:fHI}NAME({0:T}NAME) .EQN 4 0 16212 0 {0:fHT3}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME)~{0:fHA3}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME)+{0:fHV3}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME)+{0:fHL3}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME)+{0:fHI3}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME) .EQN 4 0 16213 0 {0:fHC}NAME({0:T}NAME)~{0:if}NAME({0:T}NAME>{0:TF}NAME,{0:fHL}NAME({0:T}NAME),{0:fHI}NAME({0:T}NAME)) .EQN 3 0 16214 0 {0:fEE3}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME)~{0:fHA}NAME({0:T}NAME)+{0:M}NAME*{0:fHC}NAME({0:T}NAME) .EQN 4 0 16215 0 {0:fHW4}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME,{0:W}NAME)~{0:fHA}NAME({0:T}NAME)+{0:M}NAME*{0:fHV}NAME({0:T}NAME)+{0:if}NAME({0:W}NAME>{0:TF}NAME,{0:fHL}NAME({0:W}NAME),{0:fHI}NAME({0:W}NAME))*({0:fMVS}NAME({0:P}NAME,{0:W}NAME)-{0:M}NAME) .EQN 4 0 16216 0 {0:f\s4}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME,{0:Z}NAME)~{0:fHT3}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME)+{0:G}NAME*(1+{0:M}NAME)*{0:Z}NAME .TXT 6 0 16217 0 Cg a30.625000,34.250000,37 {\rtf1\ansi \deff0 {\fonttbl {\f0\fnil Times New Roman;} {\f1\fnil Symbol;} {\f2\fnil Arial;} } {\plain {5.0 VIRTUAL TEMPERATURE AND HEIGHT}} } .EQN 6 0 16218 0 {0:fTV}NAME({0:T}NAME,{0:M}NAME)~{0:T}NAME*((1+({0:M}NAME)/({0:\e}NAME))/(1+{0:M}NAME)) .EQN 9 0 16219 0 {0:fTV3}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME)~{0:if}NAME({0:M}NAME<{0:fMVS}NAME({0:P}NAME,{0:T}NAME),{0:fTV}NAME({0:T}NAME,{0:M}NAME),{0:fTV}NAME({0:T}NAME,{0:fMVS}NAME({0:P}NAME,{0:T}NAME))*((1+{0:fMVS}NAME({0:P}NAME,{0:T}NAME))/(1+{0:M}NAME))) .EQN 10 0 16220 0 {0:f\a}NAME({0:P1}NAME,{0:P2}NAME,{0:TV1}NAME,{0:TV2}NAME)~({0:G}NAME)/({0:RA}NAME)*(({0:ln}NAME(({0:TV2}NAME)/({0:TV1}NAME)))/({0:ln}NAME(({0:P2}NAME)/({0:P1}NAME)))) .EQN 12 0 16221 0 {0:fZ}NAME({0:P1}NAME,{0:P2}NAME,{0:TV1}NAME,{0:TV2}NAME)~({0:TV2}NAME-{0:TV1}NAME)/({0:f\a}NAME({0:P1}NAME,{0:P2}NAME,{0:TV1}NAME,{0:TV2}NAME)) .TXT 5 0 16222 0 C x1,1,0,0 .TXT 4 0 16223 0 Cg a12.125000,85.375000,16 {\rtf1\ansi \deff0 {\fonttbl {\f0\fnil Times New Roman;} {\f1\fnil Symbol;} {\f2\fnil Arial;} } {\plain {SOLVER BLOCKS}} } .TXT 3 0 16224 0 Cg a29.875000,32.250000,35 {\rtf1\ansi \deff0 {\fonttbl {\f0\fnil Times New Roman;} {\f1\fnil Symbol;} {\f2\fnil Arial;} } {\plain {ISENTROPIC EXPANSION TEMPERATURE}} } .EQN 3 0 16225 0 {0:GIVEN}NAME .EQN 3 0 16226 0 {0:fST3}NAME({0:P}NAME,{0:TG}NAME,{0:M}NAME)÷{0:S}NAME .EQN 3 0 16227 0 {0:fTSOL}NAME({0:S}NAME,{0:P}NAME,{0:M}NAME):{0:FIND}NAME({0:TG}NAME) .TXT 4 0 16228 0 Cg a26.000000,29.250000,32 {\rtf1\ansi \deff0 {\fonttbl {\f0\fnil Times New Roman;} {\f1\fnil Symbol;} {\f2\fnil Arial;} } {\plain {ISENTROPIC EXPANSION PRESSURE}} } .EQN 3 0 16229 0 {0:GIVEN}NAME .EQN 3 0 16230 0 {0:fST3}NAME({0:PG}NAME,{0:T}NAME,{0:M}NAME)÷{0:S}NAME .EQN 3 0 16231 0 {0:fPSOL}NAME({0:S}NAME,{0:T}NAME,{0:M}NAME):{0:FIND}NAME({0:PG}NAME) .TXT 4 0 16257 0 Cg a40.750000,55.250000,58 {\rtf1\ansi \deff0 {\fonttbl {\f0\fnil Times New Roman;} {\f1\fnil Symbol;} {\f2\fnil Arial;} } {\plain {Solve block for ISO-STATIC-ENERGY expansion temperature}} } .EQN 3 0 16258 0 {0:GIVEN}NAME .EQN 3 0 16259 0 {0:fHT3}NAME({0:P}NAME,{0:TG}NAME,{0:M}NAME)÷{0:H}NAME .EQN 3 0 16260 0 {0:fTHOL}NAME({0:H}NAME,{0:P}NAME,{0:M}NAME):{0:Find}NAME({0:TG}NAME) .TXT 4 0 16232 0 Cg a31.250000,34.250000,37 {\rtf1\ansi \deff0 {\fonttbl {\f0\fnil Times New Roman;} {\f1\fnil Symbol;} {\f2\fnil Arial;} } {\plain {ISENTROPIC DESSICATION TEMPERATURE}} } .EQN 3 0 16233 0 {0:GIVEN}NAME .EQN 3 0 16234 0 {0:fAA3}NAME({0:P}NAME,{0:TG}NAME,{0:M}NAME)÷{0:S}NAME .EQN 3 0 16235 0 {0:fASOL}NAME({0:S}NAME,{0:P}NAME,{0:M}NAME):{0:FIND}NAME({0:TG}NAME) .TXT 4 0 16236 0 Cg a54.625000,59.250000,62 {\rtf1\ansi \deff0 {\fonttbl {\f0\fnil Times New Roman;} {\f1\fnil Symbol;} {\f2\fnil Arial;} } {\plain {ISENTHALPIC DESSICATION TEMPERATURE, EQUIVALENT TEMPERATURE}} } .EQN 3 0 16237 0 {0:GIVEN}NAME .EQN 3 0 16238 0 {0:fEE3}NAME({0:P}NAME,{0:TG}NAME,{0:M}NAME)÷{0:H}NAME .EQN 3 0 16239 0 {0:fESOL}NAME({0:H}NAME,{0:P}NAME,{0:M}NAME):{0:FIND}NAME({0:TG}NAME) .TXT 4 0 16240 0 Cg a24.125000,26.250000,29 {\rtf1\ansi \deff0 {\fonttbl {\f0\fnil Times New Roman;} {\f1\fnil Symbol;} {\f2\fnil Arial;} } {\plain {MIXING RATIO FROM WET BULB}} } .EQN 3 0 16241 0 {0:GIVEN}NAME .EQN 3 0 16242 0 {0:fHT3}NAME({0:P}NAME,{0:W}NAME,{0:fMVS}NAME({0:P}NAME,{0:W}NAME))÷{0:fHW4}NAME({0:P}NAME,{0:T}NAME,{0:MG}NAME,{0:W}NAME) .EQN 3 0 16243 0 {0:fMSOL}NAME({0:P}NAME,{0:T}NAME,{0:W}NAME):{0:FIND}NAME({0:MG}NAME) .TXT 4 0 16244 0 Cg a24.125000,26.250000,29 {\rtf1\ansi \deff0 {\fonttbl {\f0\fnil Times New Roman;} {\f1\fnil Symbol;} {\f2\fnil Arial;} } {\plain {WET BULB FROM MIXING RATIO}} } .EQN 3 0 16245 0 {0:GIVEN}NAME .EQN 3 0 16246 0 {0:fHT3}NAME({0:P}NAME,{0:TG}NAME,{0:fMVS}NAME({0:P}NAME,{0:TG}NAME))÷{0:fHW4}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME,{0:TG}NAME) .EQN 3 0 16247 0 {0:fWSOL}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME):{0:FIND}NAME({0:TG}NAME) .TXT 2 0 16794 0 C x1,1,0,0 .TXT 2 0 16248 0 Cg a23.375000,26.250000,29 {\rtf1\ansi \deff0 {\fonttbl {\f0\fnil Times New Roman;} {\f1\fnil Symbol;} {\f2\fnil Arial;} } {\plain {LIFTING CONDENSATION LEVEL}} } .EQN 3 0 16249 0 {0:GIVEN}NAME .EQN 3 0 16250 0 {0:fU3}NAME({0:PG}NAME,{0:f\qM4}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME,{0:PG}NAME),{0:M}NAME)-100÷0 .EQN 3 0 16251 0 {0:fCSOL}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME):{0:FIND}NAME({0:PG}NAME) .TXT 4 0 16252 0 Cg a8.625000,9.250000,12 {\rtf1\ansi \deff0 {\fonttbl {\f0\fnil Times New Roman;} {\f1\fnil Symbol;} {\f2\fnil Arial;} } {\plain {DEW POINT}} } .EQN 3 0 16253 0 {0:GIVEN}NAME .EQN 3 0 16254 0 {0:fPV2}NAME({0:P}NAME,{0:M}NAME)÷{0:fPV}NAME({0:TG}NAME) .EQN 3 0 16255 0 {0:fDSOL}NAME({0:P}NAME,{0:T}NAME,{0:M}NAME):{0:FIND}NAME({0:TG}NAME) .TXT 3 0 16792 0 C x1,1,0,0 .TXT 4 0 16739 0 Cg b84.000000,84.000000,173 {\rtf1\ansi \deff0 {\fonttbl {\f0\fnil Times New Roman;} {\f1\fnil Symbol;} {\f2\fnil Arial;} } {\plain {START OF SPECIFIC CALCULATIONS\par \par Fetch the sounding data contained in file LUCAS1.PRN\par The sounding data was read from \par Lucas et al. (1994) Fig. 8. JAS 51-3183-3193 \par }} } .TXT 12 1 16374 0 Cg a39.375000,41.250000,70 {\rtf1\ansi \deff0 {\fonttbl {\f0\fnil Times New Roman;} {\f1\fnil Symbol;} {\f2\fnil Arial;} } {\plain {Ending }{\f1 a}{ denotes property of the original 4 level sounding }} } .EQN 4 0 16375 0 {0:KDAT}NAME:{0:READPRN}NAME({0:lucas1}NAME) .EQN 6 0 16376 0 {0:P\a}NAME:({0:KDAT}NAME){52}(1) .EQN 0 25 16377 0 {0:TC\a}NAME:({0:KDAT}NAME){52}(2) .EQN 0 24 16378 0 {0:U\a}NAME:({0:KDAT}NAME){52}(3) .EQN 9 -49 16379 0 {0:P\a}NAME={150066}?_n_u_l_l_ .EQN 0 25 16380 0 {0:TC\a}NAME={150066}?_n_u_l_l_ .EQN 0 24 16381 0 {0:U\a}NAME={150070}?_n_u_l_l_ .EQN 12 -49 16417 0 {0:T\a}NAME:{0:TC\a}NAME+{0:T0}NAME .EQN 10 0 16418 0 {0:T\a}NAME={0}?_n_u_l_l_ .TXT 9 -1 16740 0 Cg b84.000000,84.000000,232 {\rtf1\ansi \deff0 {\fonttbl {\f0\fnil Times New Roman;} {\f1\fnil Symbol;} {\f2\fnil Arial;} } {\plain {Interpolate the 4 levels sounding to produce a sounding with regular 2 kPa intervals.\par Use linear interpellation for relative humidity and constant lapse rate for temperature.\par First determine the interval to interpolate within. }} } .TXT 8 0 16744 0 Cg a47.625000,84.625000,84 {\rtf1\ansi \deff0 {\fonttbl {\f0\fnil Times New Roman;} {\f1\fnil Symbol;} {\f2\fnil Arial;} } {\plain {Suffix }{\f1 b}{ designate properties of the interpolated 2 kPa interval sounding}} } .EQN 6 1 16383 0 {0:im}NAME:{0:last}NAME({0:P\a}NAME) .EQN 0 29 16384 0 {0:i}NAME:1;{0:im}NAME .EQN 0 15 16405 0 {0:im}NAME={0}?_n_u_l_l_ .EQN 3 -44 16385 0 {0:jm}NAME:{0:last}NAME({0:P\a}NAME)-1 .EQN 0 29 16386 0 {0:j}NAME:1;{0:jm}NAME .EQN 3 -29 16439 0 {0:km}NAME:14 .EQN 3 0 16411 0 {0:k}NAME:1;{0:km}NAME .EQN 3 0 16412 0 {0:pdel}NAME:2 .EQN 3 -1 16426 0 ({0:P\b}NAME)[({0:k}NAME):({0:P\a}NAME)[(1)-{0:pdel}NAME*({0:k}NAME-1) .EQN 3 1 16428 0 ({0:ha}NAME)[({0:k}NAME):{0:im}NAME .EQN 4 0 16424 0 ({0:hb}NAME)[({0:k}NAME):{0:if}NAME(({0:P\b}NAME)[({0:k}NAME)>({0:P\a}NAME)[(2),1,0) .EQN 4 0 16430 0 ({0:hc}NAME)[({0:k}NAME):{0:if}NAME(({0:P\b}NAME)[({0:k}NAME)>({0:P\a}NAME)[(3),1,0) .EQN 4 0 16431 0 ({0:hd}NAME)[({0:k}NAME):{0:if}NAME(({0:P\b}NAME)[({0:k}NAME)>({0:P\a}NAME)[(4),1,0) .TXT 7 0 16741 0 Cg a56.500000,83.625000,90 {\rtf1\ansi \deff0 {\fonttbl {\f0\fnil Times New Roman;} {\f1\fnil Symbol;} {\f2\fnil Arial;} } {\plain {"he" is the number of the interval in the original sounding within which to interpolate}} } .EQN 3 0 16433 0 {0:he}NAME:{0:ha}NAME-{0:hb}NAME-{0:hc}NAME-{0:hd}NAME .TXT 6 -1 16742 0 Cg a38.250000,84.625000,63 {\rtf1\ansi \deff0 {\fonttbl {\f0\fnil Times New Roman;} {\f1\fnil Symbol;} {\f2\fnil Arial;} } {\plain {Interpolate the realtive humidity using linear interpolation}} } .EQN 9 1 16446 0 ({0:U\b}NAME)[({0:k}NAME):({0:U\a}NAME)[(({0:he}NAME)[({0:k}NAME))-(({0:U\a}NAME)[((({0:he}NAME)[({0:k}NAME)))-({0:U\a}NAME)[((({0:he}NAME)[({0:k}NAME)+1)))*(({0:P\a}NAME)[((({0:he}NAME)[({0:k}NAME)))-({0:P\b}NAME)[({0:k}NAME))/((({0:P\a}NAME)[((( {0:he}NAME)[({0:k}NAME)))-({0:P\a}NAME)[((({0:he}NAME)[({0:k}NAME)+1)))) .TXT 11 0 16743 0 Cg a43.375000,83.625000,68 {\rtf1\ansi \deff0 {\fonttbl {\f0\fnil Times New Roman;} {\f1\fnil Symbol;} {\f2\fnil Arial;} } {\plain {Interpolate the temperature using constant lapse rate or exponent}} } .EQN 12 0 16448 0 ({0:\a}NAME)[({0:j}NAME):({0:ln}NAME((({0:T\a}NAME)[({0:j}NAME+1))/(({0:T\a}NAME)[({0:j}NAME))))/({0:ln}NAME((({0:P\a}NAME)[(({0:j}NAME+1)))/(({0:P\a}NAME)[({0:j}NAME)))) .EQN 13 1 16450 0 ({0:T\b}NAME)[({0:k}NAME):({0:T\a}NAME)[((({0:he}NAME)[({0:k}NAME)))*(((({0:P\b}NAME)[(({0:k}NAME)))/(({0:P\a}NAME)[((({0:he}NAME)[({0:k}NAME))))))^(({0:\a}NAME)[((({0:he}NAME)[({0:k}NAME)))) .EQN 22 0 16447 0 {0:P\b}NAME={150114}?_n_u_l_l_ .EQN 0 18 16434 0 {0:he}NAME={150114}?_n_u_l_l_ .EQN 0 17 16436 0 {0:U\b}NAME={150114}?_n_u_l_l_ .EQN 0 19 16451 0 {0:T\b}NAME={150114}?_n_u_l_l_ .TXT 27 -56 16795 0 C x1,1,0,0 .TXT 2 1 16745 0 Cg a25.125000,83.625000,48 {\rtf1\ansi \deff0 {\fonttbl {\f0\fnil Times New Roman;} {\f1\fnil Symbol;} {\f2\fnil Arial;} } {\plain {Calculate other }{\f1 b}{ sounding properties}} } .EQN 5 0 16458 0 {0:MS\b}NAME:({0:fMVS}NAME({0:P\b}NAME,{0:T\b}NAME)){49} .EQN 5 0 16459 0 {0:M\b}NAME:(({0:MS\b}NAME*(({0:U\b}NAME)/(100)))){49} .EQN 3 -66 69 0 {0:delTV}NAME:(({0:TV\w}NAME-{0:TV\a}NAME)){49} .EQN 2 66 16388 0 {0:S\b}NAME:(({0:fST3}NAME({0:P\b}NAME,{0:T\b}NAME,{0:M\b}NAME))){49} .EQN 4 0 16389 0 {0:H\b}NAME:(({0:fHT3}NAME({0:P\b}NAME,{0:T\b}NAME,{0:M\b}NAME))){49} .EQN 4 0 16390 0 {0:TV\b}NAME:({0:fTV}NAME({0:T\b}NAME,{0:M\b}NAME)){49} .EQN 19 -1 16462 0 {0:P\b}NAME={150114}?_n_u_l_l_ .EQN 0 15 16746 0 {0:T\b}NAME={0}?_n_u_l_l_ .EQN 0 17 16747 0 {0:U\b}NAME={0}?_n_u_l_l_ .EQN 0 18 16460 0 {0:MS\b}NAME*1000={150114}?_n_u_l_l_ .EQN 0 17 16461 0 {0:M\b}NAME*1000={0}?_n_u_l_l_ .EQN 42 -65 16463 0 {0:S\b}NAME={0}?_n_u_l_l_ .EQN 0 21 16464 0 {0:H\b}NAME={0}?_n_u_l_l_ .EQN 0 33 16465 0 {0:TV\b}NAME={0}?_n_u_l_l_ .TXT 26 -56 16796 0 C x1,1,0,0 .TXT 3 0 16748 0 Cg a34.875000,84.625000,220 {\rtf1\ansi \deff0 {\fonttbl {\f0\fnil Times New Roman;} {\f1\fnil Symbol;} {\f2\fnil Arial;} } {\plain {ENTRAINMENT CALCULATIONS\par Set the model constants: A entrainment coefficient\par B entrainment exponent\par C detrainment coefficient}} } .EQN 11 0 16484 0 {0:A}NAME:0.1 .EQN 0 18 16485 0 {0:B}NAME:0.5 .EQN 0 21 16486 0 {0:C}NAME:0.01 .TXT 5 -39 16750 0 Cg a40.750000,84.625000,226 {\rtf1\ansi \deff0 {\fonttbl {\f0\fnil Times New Roman;} {\f1\fnil Symbol;} {\f2\fnil Arial;} } {\plain {Set initial Updraft properties\par Suffix }{\f1 m}{ designates updraft property before entrainment\par Suffix }{\f1 e}{ designates updraft property after entrainment\par index n designates sounding level starting from 100 kPa level.}} } .EQN 10 0 16473 0 {0:n}NAME:1 .EQN 3 2 16466 0 ({0:T\m}NAME)[({0:n}NAME):({0:T\b}NAME)[({0:n}NAME)+1 .EQN 0 18 16478 0 ({0:M\m}NAME)[({0:n}NAME):({0:M\b}NAME)[({0:n}NAME)+0 .EQN 6 -18 16468 0 ({0:S\m}NAME)[({0:n}NAME):{0:fST3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\m}NAME)[({0:n}NAME),({0:M\b}NAME)[({0:n}NAME)) .EQN 0 33 16469 0 ({0:S\m}NAME)[({0:n}NAME)={0}?_n_u_l_l_ .EQN 3 -33 16475 0 ({0:S\e}NAME)[({0:n}NAME):({0:S\m}NAME)[({0:n}NAME) .EQN 0 12 16476 0 ({0:T\e}NAME)[({0:n}NAME):({0:T\m}NAME)[({0:n}NAME) .EQN 0 17 16477 0 ({0:M\e}NAME)[({0:n}NAME):({0:M\m}NAME)[({0:n}NAME) .EQN 4 -29 16659 0 ({0:TV\m}NAME)[({0:n}NAME):{0:fTV}NAME(({0:T\m}NAME)[({0:n}NAME),({0:M\m}NAME)[({0:n}NAME)) .EQN 0 28 16660 0 ({0:TV\e}NAME)[({0:n}NAME):({0:TV\m}NAME)[({0:n}NAME) .EQN 4 -28 16714 0 ({0:H\m}NAME)[({0:n}NAME):{0:fHT3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\m}NAME)[({0:n}NAME),({0:M\b}NAME)[({0:n}NAME)) .EQN 0 29 16715 0 ({0:H\e}NAME)[({0:n}NAME):({0:H\m}NAME)[({0:n}NAME) .EQN 7 -30 16474 0 {0:n}NAME:{0:n}NAME+1 .EQN 4 1 16470 0 ({0:T\m}NAME)[({0:n}NAME):{0:fTSOL}NAME(({0:S\e}NAME)[(({0:n}NAME-1)),({0:P\b}NAME)[({0:n}NAME),({0:M\e}NAME)[(({0:n}NAME-1))) .EQN 0 57 16472 0 ({0:T\m}NAME)[({0:n}NAME)={0}?_n_u_l_l_ .EQN 4 -57 16490 0 ({0:H\m}NAME)[({0:n}NAME):{0:fHT3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\m}NAME)[({0:n}NAME),({0:M\e}NAME)[(({0:n}NAME-1))) .EQN 0 57 16491 0 ({0:H\m}NAME)[({0:n}NAME)={0}?_n_u_l_l_ .EQN 6 -57 16479 0 ({0:TV\m}NAME)[({0:n}NAME):{0:fTV3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\m}NAME)[({0:n}NAME),({0:M\e}NAME)[(({0:n}NAME-1))) .EQN 0 56 16480 0 ({0:TV\m}NAME)[({0:n}NAME)-({0:TV\b}NAME)[({0:n}NAME)={0}?_n_u_l_l_ .EQN 6 -56 16481 0 ({0:e}NAME)[({0:n}NAME):{0:A}NAME*{0:pdel}NAME*((({0:TV\m}NAME)[({0:n}NAME)-({0:TV\b}NAME)[({0:n}NAME)))^({0:B}NAME) .EQN 0 57 16483 0 ({0:e}NAME)[({0:n}NAME)*100={0}?_n_u_l_l_ .EQN 4 -57 16488 0 ({0:f}NAME)[({0:n}NAME):(({0:e}NAME)[({0:n}NAME))/(1+({0:e}NAME)[({0:n}NAME)) .EQN 1 58 16489 0 ({0:f}NAME)[({0:n}NAME)*100={0}?_n_u_l_l_ .EQN 6 -58 16495 0 ({0:M\e}NAME)[({0:n}NAME):(1-({0:f}NAME)[({0:n}NAME))*({0:M\e}NAME)[(({0:n}NAME-1))+({0:f}NAME)[({0:n}NAME)*({0:M\b}NAME)[({0:n}NAME) .EQN 1 57 16496 0 ({0:M\e}NAME)[({0:n}NAME)*1000={0}?_n_u_l_l_ .EQN 4 -57 16497 0 ({0:H\e}NAME)[({0:n}NAME):(1-({0:f}NAME)[({0:n}NAME))*({0:H\m}NAME)[({0:n}NAME)+({0:f}NAME)[({0:n}NAME)*({0:H\b}NAME)[({0:n}NAME) .EQN 0 57 16498 0 ({0:H\e}NAME)[({0:n}NAME)={0}?_n_u_l_l_ .EQN 5 -57 16499 0 ({0:T\e}NAME)[({0:n}NAME):{0:fTHOL}NAME(({0:H\e}NAME)[({0:n}NAME),({0:P\b}NAME)[({0:n}NAME),({0:M\e}NAME)[({0:n}NAME)) .EQN 0 58 16500 0 ({0:T\e}NAME)[({0:n}NAME)={0}?_n_u_l_l_ .EQN 4 -58 16501 0 ({0:S\e}NAME)[({0:n}NAME):{0:fST3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\e}NAME)[({0:n}NAME),({0:M\e}NAME)[({0:n}NAME)) .EQN 1 57 16502 0 ({0:S\e}NAME)[({0:n}NAME)={0}?_n_u_l_l_ .EQN 2 -57 16522 0 ({0:TV\e}NAME)[({0:n}NAME):{0:fTV3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\e}NAME)[({0:n}NAME),({0:M\e}NAME)[({0:n}NAME)) .EQN 2 55 16523 0 ({0:TV\e}NAME)[({0:n}NAME)-({0:TV\b}NAME)[({0:n}NAME)={0}?_n_u_l_l_ .TXT 3 -57 16797 0 C x1,1,0,0 .TXT 3 1 16751 0 Cg a31.375000,83.625000,51 {\rtf1\ansi \deff0 {\fonttbl {\f0\fnil Times New Roman;} {\f1\fnil Symbol;} {\f2\fnil Arial;} } {\plain {Repeat entrainment calculation at 2 kPa interval}} } .EQN 3 1 16503 0 {0:n}NAME:{0:n}NAME+1 .EQN 4 0 16504 0 ({0:T\m}NAME)[({0:n}NAME):{0:fTSOL}NAME(({0:S\e}NAME)[(({0:n}NAME-1)),({0:P\b}NAME)[({0:n}NAME),({0:M\e}NAME)[(({0:n}NAME-1))) .EQN 4 0 16505 0 ({0:H\m}NAME)[({0:n}NAME):{0:fHT3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\m}NAME)[({0:n}NAME),({0:M\e}NAME)[(({0:n}NAME-1))) .EQN 4 0 16506 0 ({0:TV\m}NAME)[({0:n}NAME):{0:fTV3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\m}NAME)[({0:n}NAME),({0:M\e}NAME)[(({0:n}NAME-1))) .EQN 4 0 16507 0 ({0:e}NAME)[({0:n}NAME):{0:A}NAME*{0:pdel}NAME*((({0:TV\m}NAME)[({0:n}NAME)-({0:TV\b}NAME)[({0:n}NAME)))^({0:B}NAME) .EQN 5 0 16508 0 ({0:f}NAME)[({0:n}NAME):(({0:e}NAME)[({0:n}NAME))/(1+({0:e}NAME)[({0:n}NAME)) .EQN 5 0 16509 0 ({0:M\e}NAME)[({0:n}NAME):(1-({0:f}NAME)[({0:n}NAME))*({0:M\e}NAME)[(({0:n}NAME-1))+({0:f}NAME)[({0:n}NAME)*({0:M\b}NAME)[({0:n}NAME) .EQN 4 0 16510 0 ({0:H\e}NAME)[({0:n}NAME):(1-({0:f}NAME)[({0:n}NAME))*({0:H\m}NAME)[({0:n}NAME)+({0:f}NAME)[({0:n}NAME)*({0:H\b}NAME)[({0:n}NAME) .EQN 4 0 16511 0 ({0:T\e}NAME)[({0:n}NAME):{0:fTHOL}NAME(({0:H\e}NAME)[({0:n}NAME),({0:P\b}NAME)[({0:n}NAME),({0:M\e}NAME)[({0:n}NAME)) .EQN 4 0 16512 0 ({0:S\e}NAME)[({0:n}NAME):{0:fST3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\e}NAME)[({0:n}NAME),({0:M\e}NAME)[({0:n}NAME)) .EQN 4 0 16524 0 ({0:TV\e}NAME)[({0:n}NAME):{0:fTV3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\e}NAME)[({0:n}NAME),({0:M\e}NAME)[({0:n}NAME)) .EQN 6 0 16526 0 {0:n}NAME:{0:n}NAME+1 .EQN 4 0 16527 0 ({0:T\m}NAME)[({0:n}NAME):{0:fTSOL}NAME(({0:S\e}NAME)[(({0:n}NAME-1)),({0:P\b}NAME)[({0:n}NAME),({0:M\e}NAME)[(({0:n}NAME-1))) .EQN 4 0 16528 0 ({0:H\m}NAME)[({0:n}NAME):{0:fHT3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\m}NAME)[({0:n}NAME),({0:M\e}NAME)[(({0:n}NAME-1))) .EQN 4 0 16529 0 ({0:TV\m}NAME)[({0:n}NAME):{0:fTV3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\m}NAME)[({0:n}NAME),({0:M\e}NAME)[(({0:n}NAME-1))) .EQN 4 0 16530 0 ({0:e}NAME)[({0:n}NAME):{0:A}NAME*{0:pdel}NAME*((({0:TV\m}NAME)[({0:n}NAME)-({0:TV\b}NAME)[({0:n}NAME)))^({0:B}NAME) .EQN 5 0 16531 0 ({0:f}NAME)[({0:n}NAME):(({0:e}NAME)[({0:n}NAME))/(1+({0:e}NAME)[({0:n}NAME)) .EQN 5 0 16532 0 ({0:M\e}NAME)[({0:n}NAME):(1-({0:f}NAME)[({0:n}NAME))*({0:M\e}NAME)[(({0:n}NAME-1))+({0:f}NAME)[({0:n}NAME)*({0:M\b}NAME)[({0:n}NAME) .EQN 4 0 16533 0 ({0:H\e}NAME)[({0:n}NAME):(1-({0:f}NAME)[({0:n}NAME))*({0:H\m}NAME)[({0:n}NAME)+({0:f}NAME)[({0:n}NAME)*({0:H\b}NAME)[({0:n}NAME) .EQN 4 0 16534 0 ({0:T\e}NAME)[({0:n}NAME):{0:fTHOL}NAME(({0:H\e}NAME)[({0:n}NAME),({0:P\b}NAME)[({0:n}NAME),({0:M\e}NAME)[({0:n}NAME)) .EQN 4 0 16535 0 ({0:S\e}NAME)[({0:n}NAME):{0:fST3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\e}NAME)[({0:n}NAME),({0:M\e}NAME)[({0:n}NAME)) .EQN 4 0 16536 0 ({0:TV\e}NAME)[({0:n}NAME):{0:fTV3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\e}NAME)[({0:n}NAME),({0:M\e}NAME)[({0:n}NAME)) .TXT 2 -2 16798 0 C x1,1,0,0 .EQN 4 2 16537 0 {0:n}NAME:{0:n}NAME+1 .EQN 4 0 16538 0 ({0:T\m}NAME)[({0:n}NAME):{0:fTSOL}NAME(({0:S\e}NAME)[(({0:n}NAME-1)),({0:P\b}NAME)[({0:n}NAME),({0:M\e}NAME)[(({0:n}NAME-1))) .EQN 4 0 16539 0 ({0:H\m}NAME)[({0:n}NAME):{0:fHT3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\m}NAME)[({0:n}NAME),({0:M\e}NAME)[(({0:n}NAME-1))) .EQN 4 0 16540 0 ({0:TV\m}NAME)[({0:n}NAME):{0:fTV3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\m}NAME)[({0:n}NAME),({0:M\e}NAME)[(({0:n}NAME-1))) .EQN 4 0 16541 0 ({0:e}NAME)[({0:n}NAME):{0:A}NAME*{0:pdel}NAME*((({0:TV\m}NAME)[({0:n}NAME)-({0:TV\b}NAME)[({0:n}NAME)))^({0:B}NAME) .EQN 5 0 16542 0 ({0:f}NAME)[({0:n}NAME):(({0:e}NAME)[({0:n}NAME))/(1+({0:e}NAME)[({0:n}NAME)) .EQN 5 0 16543 0 ({0:M\e}NAME)[({0:n}NAME):(1-({0:f}NAME)[({0:n}NAME))*({0:M\e}NAME)[(({0:n}NAME-1))+({0:f}NAME)[({0:n}NAME)*({0:M\b}NAME)[({0:n}NAME) .EQN 4 0 16544 0 ({0:H\e}NAME)[({0:n}NAME):(1-({0:f}NAME)[({0:n}NAME))*({0:H\m}NAME)[({0:n}NAME)+({0:f}NAME)[({0:n}NAME)*({0:H\b}NAME)[({0:n}NAME) .EQN 4 0 16545 0 ({0:T\e}NAME)[({0:n}NAME):{0:fTHOL}NAME(({0:H\e}NAME)[({0:n}NAME),({0:P\b}NAME)[({0:n}NAME),({0:M\e}NAME)[({0:n}NAME)) .EQN 4 0 16546 0 ({0:S\e}NAME)[({0:n}NAME):{0:fST3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\e}NAME)[({0:n}NAME),({0:M\e}NAME)[({0:n}NAME)) .EQN 4 0 16547 0 ({0:TV\e}NAME)[({0:n}NAME):{0:fTV3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\e}NAME)[({0:n}NAME),({0:M\e}NAME)[({0:n}NAME)) .EQN 6 0 16548 0 {0:n}NAME:{0:n}NAME+1 .EQN 4 0 16549 0 ({0:T\m}NAME)[({0:n}NAME):{0:fTSOL}NAME(({0:S\e}NAME)[(({0:n}NAME-1)),({0:P\b}NAME)[({0:n}NAME),({0:M\e}NAME)[(({0:n}NAME-1))) .EQN 4 0 16550 0 ({0:H\m}NAME)[({0:n}NAME):{0:fHT3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\m}NAME)[({0:n}NAME),({0:M\e}NAME)[(({0:n}NAME-1))) .EQN 4 0 16551 0 ({0:TV\m}NAME)[({0:n}NAME):{0:fTV3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\m}NAME)[({0:n}NAME),({0:M\e}NAME)[(({0:n}NAME-1))) .EQN 4 0 16552 0 ({0:e}NAME)[({0:n}NAME):{0:A}NAME*{0:pdel}NAME*((({0:TV\m}NAME)[({0:n}NAME)-({0:TV\b}NAME)[({0:n}NAME)))^({0:B}NAME) .EQN 5 0 16553 0 ({0:f}NAME)[({0:n}NAME):(({0:e}NAME)[({0:n}NAME))/(1+({0:e}NAME)[({0:n}NAME)) .EQN 5 0 16554 0 ({0:M\e}NAME)[({0:n}NAME):(1-({0:f}NAME)[({0:n}NAME))*({0:M\e}NAME)[(({0:n}NAME-1))+({0:f}NAME)[({0:n}NAME)*({0:M\b}NAME)[({0:n}NAME) .EQN 4 0 16555 0 ({0:H\e}NAME)[({0:n}NAME):(1-({0:f}NAME)[({0:n}NAME))*({0:H\m}NAME)[({0:n}NAME)+({0:f}NAME)[({0:n}NAME)*({0:H\b}NAME)[({0:n}NAME) .EQN 4 0 16556 0 ({0:T\e}NAME)[({0:n}NAME):{0:fTHOL}NAME(({0:H\e}NAME)[({0:n}NAME),({0:P\b}NAME)[({0:n}NAME),({0:M\e}NAME)[({0:n}NAME)) .EQN 4 0 16557 0 ({0:S\e}NAME)[({0:n}NAME):{0:fST3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\e}NAME)[({0:n}NAME),({0:M\e}NAME)[({0:n}NAME)) .EQN 4 0 16558 0 ({0:TV\e}NAME)[({0:n}NAME):{0:fTV3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\e}NAME)[({0:n}NAME),({0:M\e}NAME)[({0:n}NAME)) .EQN 5 0 16559 0 {0:n}NAME:{0:n}NAME+1 .EQN 0 28 16570 0 ({0:P\b}NAME)[({0:n}NAME)={0}?_n_u_l_l_ .EQN 4 -28 16560 0 ({0:T\m}NAME)[({0:n}NAME):{0:fTSOL}NAME(({0:S\e}NAME)[(({0:n}NAME-1)),({0:P\b}NAME)[({0:n}NAME),({0:M\e}NAME)[(({0:n}NAME-1))) .EQN 4 0 16561 0 ({0:H\m}NAME)[({0:n}NAME):{0:fHT3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\m}NAME)[({0:n}NAME),({0:M\e}NAME)[(({0:n}NAME-1))) .EQN 4 0 16562 0 ({0:TV\m}NAME)[({0:n}NAME):{0:fTV3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\m}NAME)[({0:n}NAME),({0:M\e}NAME)[(({0:n}NAME-1))) .EQN 4 0 16563 0 ({0:e}NAME)[({0:n}NAME):{0:A}NAME*{0:pdel}NAME*((({0:TV\m}NAME)[({0:n}NAME)-({0:TV\b}NAME)[({0:n}NAME)))^({0:B}NAME) .EQN 5 0 16564 0 ({0:f}NAME)[({0:n}NAME):(({0:e}NAME)[({0:n}NAME))/(1+({0:e}NAME)[({0:n}NAME)) .EQN 5 0 16565 0 ({0:M\e}NAME)[({0:n}NAME):(1-({0:f}NAME)[({0:n}NAME))*({0:M\e}NAME)[(({0:n}NAME-1))+({0:f}NAME)[({0:n}NAME)*({0:M\b}NAME)[({0:n}NAME) .EQN 4 0 16566 0 ({0:H\e}NAME)[({0:n}NAME):(1-({0:f}NAME)[({0:n}NAME))*({0:H\m}NAME)[({0:n}NAME)+({0:f}NAME)[({0:n}NAME)*({0:H\b}NAME)[({0:n}NAME) .EQN 4 0 16567 0 ({0:T\e}NAME)[({0:n}NAME):{0:fTHOL}NAME(({0:H\e}NAME)[({0:n}NAME),({0:P\b}NAME)[({0:n}NAME),({0:M\e}NAME)[({0:n}NAME)) .EQN 4 0 16568 0 ({0:S\e}NAME)[({0:n}NAME):{0:fST3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\e}NAME)[({0:n}NAME),({0:M\e}NAME)[({0:n}NAME)) .EQN 4 0 16569 0 ({0:TV\e}NAME)[({0:n}NAME):{0:fTV3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\e}NAME)[({0:n}NAME),({0:M\e}NAME)[({0:n}NAME)) .EQN 7 0 16571 0 {0:n}NAME:{0:n}NAME+1 .EQN 0 28 16572 0 ({0:P\b}NAME)[({0:n}NAME)={0}?_n_u_l_l_ .EQN 4 -28 16573 0 ({0:T\m}NAME)[({0:n}NAME):{0:fTSOL}NAME(({0:S\e}NAME)[(({0:n}NAME-1)),({0:P\b}NAME)[({0:n}NAME),({0:M\e}NAME)[(({0:n}NAME-1))) .EQN 4 0 16574 0 ({0:H\m}NAME)[({0:n}NAME):{0:fHT3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\m}NAME)[({0:n}NAME),({0:M\e}NAME)[(({0:n}NAME-1))) .EQN 4 0 16575 0 ({0:TV\m}NAME)[({0:n}NAME):{0:fTV3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\m}NAME)[({0:n}NAME),({0:M\e}NAME)[(({0:n}NAME-1))) .EQN 4 0 16576 0 ({0:e}NAME)[({0:n}NAME):{0:A}NAME*{0:pdel}NAME*((({0:TV\m}NAME)[({0:n}NAME)-({0:TV\b}NAME)[({0:n}NAME)))^({0:B}NAME) .EQN 5 0 16577 0 ({0:f}NAME)[({0:n}NAME):(({0:e}NAME)[({0:n}NAME))/(1+({0:e}NAME)[({0:n}NAME)) .EQN 5 0 16578 0 ({0:M\e}NAME)[({0:n}NAME):(1-({0:f}NAME)[({0:n}NAME))*({0:M\e}NAME)[(({0:n}NAME-1))+({0:f}NAME)[({0:n}NAME)*({0:M\b}NAME)[({0:n}NAME) .EQN 4 0 16579 0 ({0:H\e}NAME)[({0:n}NAME):(1-({0:f}NAME)[({0:n}NAME))*({0:H\m}NAME)[({0:n}NAME)+({0:f}NAME)[({0:n}NAME)*({0:H\b}NAME)[({0:n}NAME) .EQN 4 0 16580 0 ({0:T\e}NAME)[({0:n}NAME):{0:fTHOL}NAME(({0:H\e}NAME)[({0:n}NAME),({0:P\b}NAME)[({0:n}NAME),({0:M\e}NAME)[({0:n}NAME)) .EQN 4 0 16581 0 ({0:S\e}NAME)[({0:n}NAME):{0:fST3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\e}NAME)[({0:n}NAME),({0:M\e}NAME)[({0:n}NAME)) .EQN 4 0 16582 0 ({0:TV\e}NAME)[({0:n}NAME):{0:fTV3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\e}NAME)[({0:n}NAME),({0:M\e}NAME)[({0:n}NAME)) .EQN 6 0 16583 0 {0:n}NAME:{0:n}NAME+1 .EQN 0 28 16584 0 ({0:P\b}NAME)[({0:n}NAME)={0}?_n_u_l_l_ .EQN 4 -28 16585 0 ({0:T\m}NAME)[({0:n}NAME):{0:fTSOL}NAME(({0:S\e}NAME)[(({0:n}NAME-1)),({0:P\b}NAME)[({0:n}NAME),({0:M\e}NAME)[(({0:n}NAME-1))) .EQN 4 0 16586 0 ({0:H\m}NAME)[({0:n}NAME):{0:fHT3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\m}NAME)[({0:n}NAME),({0:M\e}NAME)[(({0:n}NAME-1))) .EQN 4 0 16587 0 ({0:TV\m}NAME)[({0:n}NAME):{0:fTV3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\m}NAME)[({0:n}NAME),({0:M\e}NAME)[(({0:n}NAME-1))) .EQN 4 0 16588 0 ({0:e}NAME)[({0:n}NAME):{0:A}NAME*{0:pdel}NAME*((({0:TV\m}NAME)[({0:n}NAME)-({0:TV\b}NAME)[({0:n}NAME)))^({0:B}NAME) .EQN 5 0 16589 0 ({0:f}NAME)[({0:n}NAME):(({0:e}NAME)[({0:n}NAME))/(1+({0:e}NAME)[({0:n}NAME)) .EQN 5 0 16590 0 ({0:M\e}NAME)[({0:n}NAME):(1-({0:f}NAME)[({0:n}NAME))*({0:M\e}NAME)[(({0:n}NAME-1))+({0:f}NAME)[({0:n}NAME)*({0:M\b}NAME)[({0:n}NAME) .EQN 4 0 16591 0 ({0:H\e}NAME)[({0:n}NAME):(1-({0:f}NAME)[({0:n}NAME))*({0:H\m}NAME)[({0:n}NAME)+({0:f}NAME)[({0:n}NAME)*({0:H\b}NAME)[({0:n}NAME) .EQN 4 0 16592 0 ({0:T\e}NAME)[({0:n}NAME):{0:fTHOL}NAME(({0:H\e}NAME)[({0:n}NAME),({0:P\b}NAME)[({0:n}NAME),({0:M\e}NAME)[({0:n}NAME)) .EQN 4 0 16593 0 ({0:S\e}NAME)[({0:n}NAME):{0:fST3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\e}NAME)[({0:n}NAME),({0:M\e}NAME)[({0:n}NAME)) .EQN 4 0 16594 0 ({0:TV\e}NAME)[({0:n}NAME):{0:fTV3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\e}NAME)[({0:n}NAME),({0:M\e}NAME)[({0:n}NAME)) .EQN 5 0 16595 0 {0:n}NAME:{0:n}NAME+1 .EQN 0 28 16596 0 ({0:P\b}NAME)[({0:n}NAME)={0}?_n_u_l_l_ .EQN 4 -28 16597 0 ({0:T\m}NAME)[({0:n}NAME):{0:fTSOL}NAME(({0:S\e}NAME)[(({0:n}NAME-1)),({0:P\b}NAME)[({0:n}NAME),({0:M\e}NAME)[(({0:n}NAME-1))) .EQN 4 0 16598 0 ({0:H\m}NAME)[({0:n}NAME):{0:fHT3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\m}NAME)[({0:n}NAME),({0:M\e}NAME)[(({0:n}NAME-1))) .EQN 4 0 16599 0 ({0:TV\m}NAME)[({0:n}NAME):{0:fTV3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\m}NAME)[({0:n}NAME),({0:M\e}NAME)[(({0:n}NAME-1))) .EQN 4 0 16600 0 ({0:e}NAME)[({0:n}NAME):{0:A}NAME*{0:pdel}NAME*((({0:TV\m}NAME)[({0:n}NAME)-({0:TV\b}NAME)[({0:n}NAME)))^({0:B}NAME) .EQN 5 0 16601 0 ({0:f}NAME)[({0:n}NAME):(({0:e}NAME)[({0:n}NAME))/(1+({0:e}NAME)[({0:n}NAME)) .EQN 5 0 16602 0 ({0:M\e}NAME)[({0:n}NAME):(1-({0:f}NAME)[({0:n}NAME))*({0:M\e}NAME)[(({0:n}NAME-1))+({0:f}NAME)[({0:n}NAME)*({0:M\b}NAME)[({0:n}NAME) .EQN 4 0 16603 0 ({0:H\e}NAME)[({0:n}NAME):(1-({0:f}NAME)[({0:n}NAME))*({0:H\m}NAME)[({0:n}NAME)+({0:f}NAME)[({0:n}NAME)*({0:H\b}NAME)[({0:n}NAME) .EQN 4 0 16604 0 ({0:T\e}NAME)[({0:n}NAME):{0:fTHOL}NAME(({0:H\e}NAME)[({0:n}NAME),({0:P\b}NAME)[({0:n}NAME),({0:M\e}NAME)[({0:n}NAME)) .EQN 4 0 16605 0 ({0:S\e}NAME)[({0:n}NAME):{0:fST3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\e}NAME)[({0:n}NAME),({0:M\e}NAME)[({0:n}NAME)) .EQN 4 0 16606 0 ({0:TV\e}NAME)[({0:n}NAME):{0:fTV3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\e}NAME)[({0:n}NAME),({0:M\e}NAME)[({0:n}NAME)) .EQN 7 0 16607 0 {0:n}NAME:{0:n}NAME+1 .EQN 0 28 16608 0 ({0:P\b}NAME)[({0:n}NAME)={0}?_n_u_l_l_ .EQN 4 -28 16609 0 ({0:T\m}NAME)[({0:n}NAME):{0:fTSOL}NAME(({0:S\e}NAME)[(({0:n}NAME-1)),({0:P\b}NAME)[({0:n}NAME),({0:M\e}NAME)[(({0:n}NAME-1))) .EQN 4 0 16610 0 ({0:H\m}NAME)[({0:n}NAME):{0:fHT3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\m}NAME)[({0:n}NAME),({0:M\e}NAME)[(({0:n}NAME-1))) .EQN 4 0 16611 0 ({0:TV\m}NAME)[({0:n}NAME):{0:fTV3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\m}NAME)[({0:n}NAME),({0:M\e}NAME)[(({0:n}NAME-1))) .EQN 4 0 16612 0 ({0:e}NAME)[({0:n}NAME):{0:A}NAME*{0:pdel}NAME*((({0:TV\m}NAME)[({0:n}NAME)-({0:TV\b}NAME)[({0:n}NAME)))^({0:B}NAME) .EQN 5 0 16613 0 ({0:f}NAME)[({0:n}NAME):(({0:e}NAME)[({0:n}NAME))/(1+({0:e}NAME)[({0:n}NAME)) .EQN 5 0 16614 0 ({0:M\e}NAME)[({0:n}NAME):(1-({0:f}NAME)[({0:n}NAME))*({0:M\e}NAME)[(({0:n}NAME-1))+({0:f}NAME)[({0:n}NAME)*({0:M\b}NAME)[({0:n}NAME) .EQN 4 0 16615 0 ({0:H\e}NAME)[({0:n}NAME):(1-({0:f}NAME)[({0:n}NAME))*({0:H\m}NAME)[({0:n}NAME)+({0:f}NAME)[({0:n}NAME)*({0:H\b}NAME)[({0:n}NAME) .EQN 4 0 16616 0 ({0:T\e}NAME)[({0:n}NAME):{0:fTHOL}NAME(({0:H\e}NAME)[({0:n}NAME),({0:P\b}NAME)[({0:n}NAME),({0:M\e}NAME)[({0:n}NAME)) .EQN 4 0 16617 0 ({0:S\e}NAME)[({0:n}NAME):{0:fST3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\e}NAME)[({0:n}NAME),({0:M\e}NAME)[({0:n}NAME)) .EQN 4 0 16618 0 ({0:TV\e}NAME)[({0:n}NAME):{0:fTV3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\e}NAME)[({0:n}NAME),({0:M\e}NAME)[({0:n}NAME)) .EQN 7 0 16619 0 {0:n}NAME:{0:n}NAME+1 .EQN 0 28 16620 0 ({0:P\b}NAME)[({0:n}NAME)={0}?_n_u_l_l_ .EQN 4 -28 16621 0 ({0:T\m}NAME)[({0:n}NAME):{0:fTSOL}NAME(({0:S\e}NAME)[(({0:n}NAME-1)),({0:P\b}NAME)[({0:n}NAME),({0:M\e}NAME)[(({0:n}NAME-1))) .EQN 4 0 16622 0 ({0:H\m}NAME)[({0:n}NAME):{0:fHT3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\m}NAME)[({0:n}NAME),({0:M\e}NAME)[(({0:n}NAME-1))) .EQN 4 0 16623 0 ({0:TV\m}NAME)[({0:n}NAME):{0:fTV3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\m}NAME)[({0:n}NAME),({0:M\e}NAME)[(({0:n}NAME-1))) .EQN 4 0 16624 0 ({0:e}NAME)[({0:n}NAME):{0:A}NAME*{0:pdel}NAME*((({0:TV\m}NAME)[({0:n}NAME)-({0:TV\b}NAME)[({0:n}NAME)))^({0:B}NAME) .EQN 5 0 16625 0 ({0:f}NAME)[({0:n}NAME):(({0:e}NAME)[({0:n}NAME))/(1+({0:e}NAME)[({0:n}NAME)) .EQN 5 0 16626 0 ({0:M\e}NAME)[({0:n}NAME):(1-({0:f}NAME)[({0:n}NAME))*({0:M\e}NAME)[(({0:n}NAME-1))+({0:f}NAME)[({0:n}NAME)*({0:M\b}NAME)[({0:n}NAME) .EQN 4 0 16627 0 ({0:H\e}NAME)[({0:n}NAME):(1-({0:f}NAME)[({0:n}NAME))*({0:H\m}NAME)[({0:n}NAME)+({0:f}NAME)[({0:n}NAME)*({0:H\b}NAME)[({0:n}NAME) .EQN 4 0 16628 0 ({0:T\e}NAME)[({0:n}NAME):{0:fTHOL}NAME(({0:H\e}NAME)[({0:n}NAME),({0:P\b}NAME)[({0:n}NAME),({0:M\e}NAME)[({0:n}NAME)) .EQN 4 0 16629 0 ({0:S\e}NAME)[({0:n}NAME):{0:fST3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\e}NAME)[({0:n}NAME),({0:M\e}NAME)[({0:n}NAME)) .EQN 4 0 16630 0 ({0:TV\e}NAME)[({0:n}NAME):{0:fTV3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\e}NAME)[({0:n}NAME),({0:M\e}NAME)[({0:n}NAME)) .EQN 6 0 16631 0 {0:n}NAME:{0:n}NAME+1 .EQN 0 28 16632 0 ({0:P\b}NAME)[({0:n}NAME)={0}?_n_u_l_l_ .EQN 4 -28 16633 0 ({0:T\m}NAME)[({0:n}NAME):{0:fTSOL}NAME(({0:S\e}NAME)[(({0:n}NAME-1)),({0:P\b}NAME)[({0:n}NAME),({0:M\e}NAME)[(({0:n}NAME-1))) .EQN 4 0 16634 0 ({0:H\m}NAME)[({0:n}NAME):{0:fHT3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\m}NAME)[({0:n}NAME),({0:M\e}NAME)[(({0:n}NAME-1))) .EQN 4 0 16635 0 ({0:TV\m}NAME)[({0:n}NAME):{0:fTV3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\m}NAME)[({0:n}NAME),({0:M\e}NAME)[(({0:n}NAME-1))) .EQN 4 0 16636 0 ({0:e}NAME)[({0:n}NAME):{0:A}NAME*{0:pdel}NAME*((({0:TV\m}NAME)[({0:n}NAME)-({0:TV\b}NAME)[({0:n}NAME)))^({0:B}NAME) .EQN 5 0 16637 0 ({0:f}NAME)[({0:n}NAME):(({0:e}NAME)[({0:n}NAME))/(1+({0:e}NAME)[({0:n}NAME)) .EQN 5 0 16638 0 ({0:M\e}NAME)[({0:n}NAME):(1-({0:f}NAME)[({0:n}NAME))*({0:M\e}NAME)[(({0:n}NAME-1))+({0:f}NAME)[({0:n}NAME)*({0:M\b}NAME)[({0:n}NAME) .EQN 4 0 16639 0 ({0:H\e}NAME)[({0:n}NAME):(1-({0:f}NAME)[({0:n}NAME))*({0:H\m}NAME)[({0:n}NAME)+({0:f}NAME)[({0:n}NAME)*({0:H\b}NAME)[({0:n}NAME) .EQN 4 0 16640 0 ({0:T\e}NAME)[({0:n}NAME):{0:fTHOL}NAME(({0:H\e}NAME)[({0:n}NAME),({0:P\b}NAME)[({0:n}NAME),({0:M\e}NAME)[({0:n}NAME)) .EQN 4 0 16641 0 ({0:S\e}NAME)[({0:n}NAME):{0:fST3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\e}NAME)[({0:n}NAME),({0:M\e}NAME)[({0:n}NAME)) .EQN 4 0 16642 0 ({0:TV\e}NAME)[({0:n}NAME):{0:fTV3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\e}NAME)[({0:n}NAME),({0:M\e}NAME)[({0:n}NAME)) .TXT 3 -2 16799 0 C x1,1,0,0 .EQN 3 2 16643 0 {0:n}NAME:{0:n}NAME+1 .EQN 0 28 16644 0 ({0:P\b}NAME)[({0:n}NAME)={0}?_n_u_l_l_ .EQN 4 -28 16645 0 ({0:T\m}NAME)[({0:n}NAME):{0:fTSOL}NAME(({0:S\e}NAME)[(({0:n}NAME-1)),({0:P\b}NAME)[({0:n}NAME),({0:M\e}NAME)[(({0:n}NAME-1))) .EQN 4 0 16646 0 ({0:H\m}NAME)[({0:n}NAME):{0:fHT3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\m}NAME)[({0:n}NAME),({0:M\e}NAME)[(({0:n}NAME-1))) .EQN 4 0 16647 0 ({0:TV\m}NAME)[({0:n}NAME):{0:fTV3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\m}NAME)[({0:n}NAME),({0:M\e}NAME)[(({0:n}NAME-1))) .EQN 4 0 16648 0 ({0:e}NAME)[({0:n}NAME):{0:A}NAME*{0:pdel}NAME*((({0:TV\m}NAME)[({0:n}NAME)-({0:TV\b}NAME)[({0:n}NAME)))^({0:B}NAME) .EQN 5 0 16649 0 ({0:f}NAME)[({0:n}NAME):(({0:e}NAME)[({0:n}NAME))/(1+({0:e}NAME)[({0:n}NAME)) .EQN 5 0 16650 0 ({0:M\e}NAME)[({0:n}NAME):(1-({0:f}NAME)[({0:n}NAME))*({0:M\e}NAME)[(({0:n}NAME-1))+({0:f}NAME)[({0:n}NAME)*({0:M\b}NAME)[({0:n}NAME) .EQN 4 0 16651 0 ({0:H\e}NAME)[({0:n}NAME):(1-({0:f}NAME)[({0:n}NAME))*({0:H\m}NAME)[({0:n}NAME)+({0:f}NAME)[({0:n}NAME)*({0:H\b}NAME)[({0:n}NAME) .EQN 4 0 16652 0 ({0:T\e}NAME)[({0:n}NAME):{0:fTHOL}NAME(({0:H\e}NAME)[({0:n}NAME),({0:P\b}NAME)[({0:n}NAME),({0:M\e}NAME)[({0:n}NAME)) .EQN 4 0 16653 0 ({0:S\e}NAME)[({0:n}NAME):{0:fST3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\e}NAME)[({0:n}NAME),({0:M\e}NAME)[({0:n}NAME)) .EQN 4 0 16654 0 ({0:TV\e}NAME)[({0:n}NAME):{0:fTV3}NAME(({0:P\b}NAME)[({0:n}NAME),({0:T\e}NAME)[({0:n}NAME),({0:M\e}NAME)[({0:n}NAME)) .TXT 6 -2 16753 0 Cg b84.000000,84.000000,72 {\rtf1\ansi \deff0 {\fonttbl {\f0\fnil Times New Roman;} {\f1\fnil Symbol;} {\f2\fnil Arial;} } {\plain {END OF ENTRAINMENT CALCULATION\par \par NOW TABULATE THE UPDRAFT PROPERTIES}} } .EQN 14 1 16655 0 ({0:TV\mdel}NAME)[({0:k}NAME):((({0:TV\m}NAME)[({0:k}NAME)-({0:TV\b}NAME)[({0:k}NAME))){49} .EQN 6 0 16657 0 ({0:TV\edel}NAME)[({0:k}NAME):((({0:TV\e}NAME)[({0:k}NAME)-({0:TV\b}NAME)[({0:k}NAME))){49} .EQN 4 1 16675 0 {0:qm}NAME:{0:km}NAME-1 .EQN 3 0 16676 0 {0:q}NAME:1;{0:qm}NAME .EQN 3 1 16677 0 ({0:M\m}NAME)[(({0:q}NAME+1)):({0:M\e}NAME)[({0:q}NAME) .EQN 3 0 16678 0 ({0:S\m}NAME)[(({0:q}NAME+1)):({0:S\e}NAME)[({0:q}NAME) .TXT 5 -3 16763 0 Cg a26.625000,84.625000,41 {\rtf1\ansi \deff0 {\fonttbl {\f0\fnil Times New Roman;} {\f1\fnil Symbol;} {\f2\fnil Arial;} } {\plain {Condensed water content of the updraft}} } .EQN 5 3 16681 0 {0:MC\m}NAME:({0:fMC3}NAME({0:P\b}NAME,{0:T\m}NAME,{0:M\m}NAME)){49} .EQN 4 0 16682 0 {0:MC\e}NAME:({0:fMC3}NAME({0:P\b}NAME,{0:T\e}NAME,{0:M\e}NAME)){49} .TXT 20 -3 16754 0 Cg a29.125000,84.625000,47 {\rtf1\ansi \deff0 {\fonttbl {\f0\fnil Times New Roman;} {\f1\fnil Symbol;} {\f2\fnil Arial;} } {\plain {Properties of the updraft before entrainment}} } .EQN 18 0 16663 0 {0:P\b}NAME={0}?_n_u_l_l_ .EQN 0 24 16680 0 {0:T\m}NAME={0}?_n_u_l_l_ .EQN 0 24 16664 0 {0:M\m}NAME*1000={0}?_n_u_l_l_ .EQN 48 -46 16666 0 {0:S\m}NAME={0}?_n_u_l_l_ .EQN 0 23 16679 0 {0:H\m}NAME={0}?_n_u_l_l_ .EQN 0 18 16656 0 {0:TV\mdel}NAME={0}?_n_u_l_l_ .EQN 0 20 16683 0 {0:MC\m}NAME*1000={0}?_n_u_l_l_ .TXT 44 -63 16756 0 Cg b84.000000,84.000000,47 {\rtf1\ansi \deff0 {\fonttbl {\f0\fnil Times New Roman;} {\f1\fnil Symbol;} {\f2\fnil Arial;} } {\plain {Properties of the updraft after entrainment}} } .EQN 24 0 16668 0 {0:P\b}NAME={0}?_n_u_l_l_ .EQN 0 26 16672 0 {0:T\e}NAME={0}?_n_u_l_l_ .EQN 0 25 16669 0 {0:M\e}NAME*1000={0}?_n_u_l_l_ .EQN 46 -48 16670 0 {0:S\e}NAME={0}?_n_u_l_l_ .EQN 0 18 16671 0 {0:H\e}NAME={0}?_n_u_l_l_ .EQN 0 21 16658 0 {0:TV\edel}NAME={0}?_n_u_l_l_ .EQN 0 17 16684 0 {0:MC\e}NAME*1000={0}?_n_u_l_l_ .TXT 46 -33 16757 0 Cg a39.375000,65.625000,48 {\rtf1\ansi \deff0 {\fonttbl {\f0\fnil Times New Roman;} {\f1\fnil Symbol;} {\f2\fnil Arial;} } {\plain {VIRTUAL TEMPERATURE EXCESS OF UPDRAFT (FIG 2)}} } .EQN 1 -20 16736 0 70&100&(_n_u_l_l_&_n_u_l_l_)&({0:P\b}NAME)[({0:k}NAME),({0:P\b}NAME)[({0:k}NAME)@3&-1&(_n_u_l_l_&_n_u_l_l_)&({0:TV\mdel}NAME)[({0:k}NAME),({0:TV\edel}NAME)[({0:k}NAME) 0 1 1 0 4 0 1 0 1 1 0 6 0 1 1 1 6 0 NO-TRACE-STRING 2 1 6 0 NO-TRACE-STRING 0 3 2 0 NO-TRACE-STRING 0 4 3 0 NO-TRACE-STRING 0 1 4 0 NO-TRACE-STRING 0 2 5 0 NO-TRACE-STRING 0 3 6 0 NO-TRACE-STRING 0 4 0 0 NO-TRACE-STRING 0 1 1 0 NO-TRACE-STRING 0 2 2 0 NO-TRACE-STRING 0 3 3 0 NO-TRACE-STRING 0 4 4 0 NO-TRACE-STRING 0 1 5 0 NO-TRACE-STRING 0 2 6 0 NO-TRACE-STRING 0 3 0 0 NO-TRACE-STRING 0 4 1 0 NO-TRACE-STRING 0 0 61 33 0 3 .TXT 48 -6 16758 0 Cg b84.000000,84.000000,224 {\rtf1\ansi \deff0 {\fonttbl {\f0\fnil Times New Roman;} {\f1\fnil Symbol;} {\f2\fnil Arial;} } {\plain {DETRAINMENT CALCULATION\par Calculate effect of 1% entrainment on updraft properties\par Calculate detrainment\par Suffix }{\f1 l}{ designates property of mixed updraft with 1% additional entrainment\par }{\f1 l}{ is the detrainment }} } .EQN 19 5 16707 0 ({0:M\l}NAME)[({0:k}NAME):(((0.99)*({0:M\e}NAME)[({0:k}NAME)+0.01*({0:M\b}NAME)[({0:k}NAME))){49} .EQN 4 0 16708 0 ({0:H\l}NAME)[({0:k}NAME):((((0.99*{0:H\e}NAME))[({0:k}NAME)+0.01*({0:H\b}NAME)[({0:k}NAME))){49} .EQN 4 0 16709 0 ({0:T\l}NAME)[({0:k}NAME):({0:fTHOL}NAME(({0:H\l}NAME)[({0:k}NAME),({0:P\b}NAME)[({0:k}NAME),({0:M\l}NAME)[({0:k}NAME))){49} .EQN 4 0 16713 0 {0:TV\l}NAME:({0:fTV3}NAME({0:P\b}NAME,{0:T\l}NAME,{0:M\l}NAME)){49} .EQN 4 0 16719 0 {0:TV\ldd}NAME:{0:TV\e}NAME-{0:TV\l}NAME .EQN 6 0 16716 0 {0:\g}NAME:(((-100*(({0:TV\ldd}NAME)/({0:TV\edel}NAME))+1)*{0:C}NAME*{0:pdel}NAME)){49} .TXT 22 -5 16765 0 Cg b84.000000,84.000000,172 {\rtf1\ansi \deff0 {\fonttbl {\f0\fnil Times New Roman;} {\f1\fnil Symbol;} {\f2\fnil Arial;} } {\plain {If the above equation yields positive detrainment or detrainment greater than 100% set detrainment at -100%.\par For the base sounding the bound only affects the top level.}} } .EQN 6 3 16721 0 ({0:\g\g}NAME)[({0:k}NAME):{0:if}NAME(({0:\g}NAME)[({0:k}NAME)<-1,-1,({0:\g}NAME)[({0:k}NAME)) .EQN 5 0 16764 0 ({0:\g\g}NAME)[({0:k}NAME):{0:if}NAME(({0:\g\g}NAME)[({0:k}NAME)>0.01,-1,({0:\g\g}NAME)[({0:k}NAME)) .EQN 26 -3 16720 0 {0:TV\ldd}NAME={0}?_n_u_l_l_ .EQN 0 17 16759 0 {0:\g}NAME*100={0}?_n_u_l_l_ .EQN 0 21 16717 0 {0:\g\g}NAME*100={0}?_n_u_l_l_ .EQN 0 20 16711 0 {0:TV\e}NAME={0}?_n_u_l_l_ .EQN 0 13 16712 0 {0:TV\l}NAME={0}?_n_u_l_l_ .EQN 31 -63 16723 0 {0:m}NAME:2;14 .EQN 4 0 16724 0 {0:fac}NAME:(({0:e}NAME+1)){49} .EQN 2 0 16725 0 ({0:fcum}NAME)[(1):1 .EQN 5 0 16726 0 ({0:fcum}NAME)[(({0:m}NAME)):({0:fcum}NAME)[(({0:m}NAME-1))*({0:fac}NAME)[(({0:m}NAME)) .EQN 5 0 16730 0 {0:\g\gac}NAME:(1+{0:\g\g}NAME) .EQN 3 0 16731 0 ({0:cumd}NAME)[(1):1 .EQN 3 0 16733 0 ({0:cumd}NAME)[({0:m}NAME):({0:cumd}NAME)[(({0:m}NAME-1))*({0:fac}NAME)[({0:m}NAME)*({0:\g\gac}NAME)[({0:m}NAME) .TXT 24 15 16761 0 Cg a39.000000,60.625000,46 {\rtf1\ansi \deff0 {\fonttbl {\f0\fnil Times New Roman;} {\f1\fnil Symbol;} {\f2\fnil Arial;} } {\plain {PERCENT ENTRAINMENT AND DETRAINMENT (FIG 6)}} } .EQN 2 -21 16760 0 70&100&(_n_u_l_l_&_n_u_l_l_)&({0:P\b}NAME)[({0:k}NAME),({0:P\b}NAME)[({0:k}NAME)@100&0&(_n_u_l_l_&_n_u_l_l_)&({0:e}NAME)[({0:k}NAME)*100,((-{0:\g\g}NAME))[({0:k}NAME)*100 0 1 1 0 5 0 1 0 1 1 0 6 0 1 1 1 6 0 NO-TRACE-STRING 2 1 6 0 NO-TRACE-STRING 0 3 2 0 NO-TRACE-STRING 0 4 3 0 NO-TRACE-STRING 0 1 4 0 NO-TRACE-STRING 0 2 5 0 NO-TRACE-STRING 0 3 6 0 NO-TRACE-STRING 0 4 0 0 NO-TRACE-STRING 0 1 1 0 NO-TRACE-STRING 0 2 2 0 NO-TRACE-STRING 0 3 3 0 NO-TRACE-STRING 0 4 4 0 NO-TRACE-STRING 0 1 5 0 NO-TRACE-STRING 0 2 6 0 NO-TRACE-STRING 0 3 0 0 NO-TRACE-STRING 0 4 1 0 NO-TRACE-STRING 0 0 62 35 0 3 .TXT 53 23 16762 0 Cg a29.125000,59.625000,35 {\rtf1\ansi \deff0 {\fonttbl {\f0\fnil Times New Roman;} {\f1\fnil Symbol;} {\f2\fnil Arial;} } {\plain {CUMMULATIVE UPDRAFT MASS (FIG 7)}} } .EQN 1 -24 16729 0 70&100&(_n_u_l_l_&_n_u_l_l_)&({0:P\b}NAME)[({0:k}NAME),({0:P\b}NAME)[({0:k}NAME)@6&0&(_n_u_l_l_&_n_u_l_l_)&({0:fcum}NAME)[({0:k}NAME),({0:cumd}NAME)[({0:k}NAME) 0 1 1 0 6 0 1 0 1 1 0 6 0 1 1 1 6 0 NO-TRACE-STRING 2 1 6 0 NO-TRACE-STRING 0 3 2 0 NO-TRACE-STRING 0 4 3 0 NO-TRACE-STRING 0 1 4 0 NO-TRACE-STRING 0 2 5 0 NO-TRACE-STRING 0 3 6 0 NO-TRACE-STRING 0 4 0 0 NO-TRACE-STRING 0 1 1 0 NO-TRACE-STRING 0 2 2 0 NO-TRACE-STRING 0 3 3 0 NO-TRACE-STRING 0 4 4 0 NO-TRACE-STRING 0 1 5 0 NO-TRACE-STRING 0 2 6 0 NO-TRACE-STRING 0 3 0 0 NO-TRACE-STRING 0 4 1 0 NO-TRACE-STRING 0 0 62 35 0 3 .EQN 69 -1 16727 0 {0:fac}NAME={0}?_n_u_l_l_ .EQN 0 13 16728 0 {0:fcum}NAME={0}?_n_u_l_l_ .EQN 0 15 16734 0 {0:cumd}NAME={0}?_n_u_l_l_ .EQN 0 15 16735 0 {0:\g\gac}NAME={0}?_n_u_l_l_ .TXT 27 -43 16800 0 C x1,1,0,0 .TXT 4 0 16774 0 Cg b84.000000,84.000000,34 {\rtf1\ansi \deff0 {\fonttbl {\f0\fnil Times New Roman;} {\f1\fnil Symbol;} {\f2\fnil Arial;} } {\plain {Calculate the terminal velocity}} } .EQN 6 0 16775 0 ({0:DEN}NAME)[({0:q}NAME):(({0:P\b}NAME)[({0:q}NAME)*1000)/({0:RA}NAME*({0:T\m}NAME)[({0:q}NAME)) .EQN 6 0 16779 0 ({0:DIA}NAME)[(1):100 .EQN 5 0 16777 0 ({0:MASS}NAME)[(1):{0:\p}NAME*(((({0:DIA}NAME)[(1)))^(3))/(6)*({0:DEN}NAME)[(1) .EQN 0 35 16778 0 ({0:MASS}NAME)[(1)={0}?_n_u_l_l_ .EQN 5 -35 16780 0 ({0:MASS}NAME)[({0:q}NAME):({0:MASS}NAME)[(1)*({0:cumd}NAME)[({0:q}NAME) .EQN 10 0 16782 0 ({0:DIA}NAME)[({0:q}NAME):(((({0:MASS}NAME)[({0:q}NAME))/({0:\p}NAME)*(6)/(({0:DEN}NAME)[({0:q}NAME))))^((1)/(3)) .EQN 7 0 16785 0 {0:CD}NAME:0.5 .EQN 7 0 16784 0 ({0:VTER}NAME)[({0:q}NAME):(((4)/(3)*({0:G}NAME)/({0:CD}NAME)*({0:DIA}NAME)[({0:q}NAME)*(({0:TV\edel}NAME)[({0:q}NAME))/(({0:TV\b}NAME)[({0:q}NAME))))^(0.5) .EQN 23 0 16776 0 {0:DEN}NAME={0}?_n_u_l_l_ .EQN 0 20 16781 0 {0:MASS}NAME={150128}?_n_u_l_l_ .EQN 0 24 16783 0 {0:DIA}NAME={0}?_n_u_l_l_ .EQN 0 19 16786 0 {0:VTER}NAME={0}?_n_u_l_l_ .TXT 25 -63 16801 0 C x1,1,0,0 .TXT 6 42 16790 0 Cg a8.125000,56.625000,11 {\rtf1\ansi \deff0 {\fonttbl {\f0\fnil Times New Roman;} {\f1\fnil Symbol;} {\f2\fnil Arial;} } {\plain {DIAMETER}} } .EQN 1 -36 16787 0 70&100&(_n_u_l_l_&_n_u_l_l_)&({0:P\b}NAME)[({0:q}NAME)@160&&(_n_u_l_l_&_n_u_l_l_)&({0:DIA}NAME)[({0:q}NAME) 0 1 1 0 6 0 1 0 1 1 0 6 0 1 1 1 6 0 NO-TRACE-STRING 2 2 6 0 NO-TRACE-STRING 0 3 2 0 NO-TRACE-STRING 0 4 3 0 NO-TRACE-STRING 0 1 4 0 NO-TRACE-STRING 0 2 5 0 NO-TRACE-STRING 0 3 6 0 NO-TRACE-STRING 0 4 0 0 NO-TRACE-STRING 0 1 1 0 NO-TRACE-STRING 0 2 2 0 NO-TRACE-STRING 0 3 3 0 NO-TRACE-STRING 0 4 4 0 NO-TRACE-STRING 0 1 5 0 NO-TRACE-STRING 0 2 6 0 NO-TRACE-STRING 0 3 0 0 NO-TRACE-STRING 0 4 1 0 NO-TRACE-STRING 0 0 62 33 0 3 .TXT 50 24 16789 0 Cg a15.875000,47.625000,20 {\rtf1\ansi \deff0 {\fonttbl {\f0\fnil Times New Roman;} {\f1\fnil Symbol;} {\f2\fnil Arial;} } {\plain {TERMINAL VELOCITY}} } .EQN 1 -30 16788 0 70&100&(_n_u_l_l_&_n_u_l_l_)&({0:P\b}NAME)[({0:q}NAME)@3&0&(_n_u_l_l_&_n_u_l_l_)&({0:VTER}NAME)[({0:q}NAME) 0 1 1 0 6 0 1 0 1 1 0 6 0 1 1 1 6 0 NO-TRACE-STRING 2 2 6 0 NO-TRACE-STRING 0 3 2 0 NO-TRACE-STRING 0 4 3 0 NO-TRACE-STRING 0 1 4 0 NO-TRACE-STRING 0 2 5 0 NO-TRACE-STRING 0 3 6 0 NO-TRACE-STRING 0 4 0 0 NO-TRACE-STRING 0 1 1 0 NO-TRACE-STRING 0 2 2 0 NO-TRACE-STRING 0 3 3 0 NO-TRACE-STRING 0 4 4 0 NO-TRACE-STRING 0 1 5 0 NO-TRACE-STRING 0 2 6 0 NO-TRACE-STRING 0 3 0 0 NO-TRACE-STRING 0 4 1 0 NO-TRACE-STRING 0 0 62 33 0 3