Expression 14: "y" Subscript, "p" "m" , Baseline left parenthesis, "p" Subscript, "s" "q" "r" , Baseline , right parenthesis equals "s" left parenthesis, StartFraction, 2 Over 1 plus "p" Superscript, "s" "q" "r" , Baseline 2 left parenthesis, 1 minus StartRoot, "t" Subscript, "m" , Baseline , EndRoot , right parenthesis undefined , EndFraction , right parenthesis Superscript, StartFraction, StartRoot, "t" Subscript, "m" , Baseline , EndRoot Over StartRoot, "t" Subscript, "m" , Baseline , EndRoot minus 1 , EndFraction , Baselineypmpsqr=s21+p21−tmsqrtmtm−1
14
Expression 15: "L" ( "t" Subscript, "i" , Baseline ) equals "s" times 2 Superscript, 1 plus StartFraction, StartRoot, "t" Subscript, "m" , Baseline , EndRoot Over StartRoot, "t" Subscript, "m" , Baseline , EndRoot minus 1 , EndFraction , Baseline times "e" Superscript, ( 1 half minus StartRoot, "t" Subscript, "m" , Baseline , EndRoot ) "t" Subscript, "i" , Baseline , Baseline times left parenthesis, 1 plus "e" Superscript, ( 1 minus StartRoot, "t" Subscript, "m" , Baseline , EndRoot ) "t" Subscript, "i" , Baseline , Baseline , right parenthesis Superscript, StartFraction, StartRoot, "t" Subscript, "m" , Baseline , EndRoot Over 1 minus StartRoot, "t" Subscript, "m" , Baseline , EndRoot , EndFraction minus 1 , Baseline times StartRoot, "t" Subscript, "m" , Baseline , EndRootL(ti)=s·21+tmtm−1·e(12−tm)ti·1+e(1−tm)titm1−tm−1·tm
15
Xmin and Ymin
16
Expression 17: "x" Subscript, "m" "i" "n" , Baseline left parenthesis, "t" Subscript, "n" , Baseline , right parenthesis equals "s" Subscript, 0 , Baseline left parenthesis, StartFraction, 2 Over 1 plus "P" Superscript, 0 , Baseline 1 minus StartRoot, "t" Subscript, 0 , Baseline , EndRoot undefined , EndFraction , right parenthesis Superscript, StartFraction, StartRoot, "t" Subscript, 0 , Baseline , EndRoot Over StartRoot, "t" Subscript, 0 , Baseline , EndRoot minus 1 , EndFraction , Baseline left parenthesis, 1 plus "P" Superscript, 0 , Baseline StartRoot, "t" Subscript, 0 , Baseline , EndRoot ( StartFraction, 1 Over StartRoot, "t" Subscript, "n" , Baseline , EndRoot , EndFraction minus 1 ) undefined , right parenthesis Superscript, StartFraction, StartRoot, "t" Subscript, "n" , Baseline , EndRoot Over StartRoot, "t" Subscript, "n" , Baseline , EndRoot minus 1 , EndFraction , Baseline left brace, "t" Subscript, "n" , Baseline less than 1 , right bracexmintn=s021+P1−t00t0t0−11+Pt0(1tn−1)0tntn−1tn<1
17
Expression 18: "y" Subscript, "m" "i" "n" , Baseline left parenthesis, "t" Subscript, "n" , Baseline , right parenthesis equals "s" Subscript, 0 , Baseline left parenthesis, StartFraction, 2 Over 1 plus "P" Superscript, 0 , Baseline 1 minus StartRoot, "t" Subscript, 0 , Baseline , EndRoot undefined , EndFraction , right parenthesis Superscript, StartFraction, StartRoot, "t" Subscript, 0 , Baseline , EndRoot Over StartRoot, "t" Subscript, 0 , Baseline , EndRoot minus 1 , EndFraction , Baseline left parenthesis, 1 plus "P" Superscript, 0 , Baseline StartRoot, "t" Subscript, 0 , Baseline , EndRoot ( StartFraction, 1 Over StartRoot, "t" Subscript, "n" , Baseline , EndRoot , EndFraction minus 1 ) undefined , right parenthesis Superscript, StartFraction, StartRoot, "t" Subscript, "n" , Baseline , EndRoot Over StartRoot, "t" Subscript, "n" , Baseline , EndRoot minus 1 , EndFraction , Baseline left brace, "t" Subscript, "n" , Baseline less than 1 , right braceymintn=s021+P1−t00t0t0−11+Pt0(1tn−1)0tntn−1tn<1
18
Expression 19: "D" Subscript, "x" , Baseline left parenthesis, "t" Subscript, "n" , Baseline , right parenthesis equals "x" Subscript, 0 , Baseline minus "x" Subscript, "m" "i" "n" , Baseline left parenthesis, "t" Subscript, "n" , Baseline , right parenthesisDxtn=x0−xmintn
19
Expression 20: "D" Subscript, "y" , Baseline left parenthesis, "t" Subscript, "n" , Baseline , right parenthesis equals "y" Subscript, 0 , Baseline minus "y" Subscript, "m" "i" "n" , Baseline left parenthesis, "t" Subscript, "n" , Baseline , right parenthesisDytn=y0−ymintn
20
Expression 21: "x" equals "x" Subscript, "m" "i" "n" , Baseline left parenthesis, "t" Subscript, "m" , Baseline , right parenthesisx=xmintm
equals=
00
21
Expression 22: "y" equals "y" Subscript, "m" "i" "n" , Baseline left parenthesis, "t" Subscript, "m" , Baseline , right parenthesisy=ymintm
equals=
00
22
Label: left parenthesis, "x" Subscript, "m" "i" "n" , Baseline left parenthesis, "t" Subscript, "m" , Baseline , right parenthesis , "y" Subscript, "m" "i" "n" , Baseline left parenthesis, "t" Subscript, "m" , Baseline , right parenthesis , right parenthesisxmintm,ymintm
Label:
equals=
left parenthesis, 0 , 0 , right parenthesis0,0
23
Expression 24: alpha Subscript, "x" , Baseline left parenthesis, "t" Subscript, "n" , Baseline , right parenthesis equals StartFraction, "x" Subscript, "m" "i" "n" , Baseline left parenthesis, "t" Subscript, "n" , Baseline , right parenthesis Over "x" Subscript, 0 , Baseline , EndFractionαxtn=xmintnx0
24
Expression 25: alpha Subscript, "y" , Baseline left parenthesis, "t" Subscript, "n" , Baseline , right parenthesis equals StartFraction, "y" Subscript, "m" "i" "n" , Baseline left parenthesis, "t" Subscript, "n" , Baseline , right parenthesis Over "y" Subscript, 0 , Baseline , EndFractionαytn=ymintny0
25
26
powered by
powered by
left parenthesis, 0.4 4 7 4 7 , 2.2 3 5 5 3 , right parenthesis0.44747,2.23553
