Expression 126: left parenthesis, left brace, "V" Subscript, "B" , Baseline equals 1 , right brace left brace, "A" Subscript, "R" , Baseline equals 0 , right brace left brace, "A" Subscript, "m" "i" "d" , Baseline minus StartFraction, "v" Subscript, "A" , Baseline Over 2 , EndFraction less than "t" less than "A" Subscript, "m" "i" "d" , Baseline plus StartFraction, "v" Subscript, "A" , Baseline Over 2 , EndFraction , right brace "A" Subscript, 1 , Baseline plus "R" Subscript, "A" , Baseline cos "t" , "A" Subscript, 2 , Baseline plus "R" Subscript, "A" , Baseline sin "t" , right parenthesisVB=1AR=0Amid−vA2<t<Amid+vA2A1+RAcost,A2+RAsint
domain t Minimum: negative 2 tau−2τ
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 2 tau2τ
126
Expression 127: left parenthesis, left brace, "V" Subscript, "B" , Baseline equals 1 , right brace left brace, "B" Subscript, "R" , Baseline equals 0 , right brace left brace, "B" Subscript, "m" "i" "d" , Baseline minus StartFraction, "v" Subscript, "B" , Baseline Over 2 , EndFraction less than "t" less than "B" Subscript, "m" "i" "d" , Baseline plus StartFraction, "v" Subscript, "B" , Baseline Over 2 , EndFraction , right brace "B" Subscript, 1 , Baseline plus "R" Subscript, "B" , Baseline cos "t" , "B" Subscript, 2 , Baseline plus "R" Subscript, "B" , Baseline sin "t" , right parenthesisVB=1BR=0Bmid−vB2<t<Bmid+vB2B1+RBcost,B2+RBsint
domain t Minimum: negative 2 tau−2τ
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 2 tau2τ
127
Expression 128: left parenthesis, left brace, "V" Subscript, "B" , Baseline equals 1 , right brace left brace, "C" Subscript, "R" , Baseline equals 0 , right brace left brace, "C" Subscript, "m" "i" "d" , Baseline minus StartFraction, "v" Subscript, "C" , Baseline Over 2 , EndFraction less than "t" less than "C" Subscript, "m" "i" "d" , Baseline plus StartFraction, "v" Subscript, "C" , Baseline Over 2 , EndFraction , right brace "C" Subscript, 1 , Baseline plus "R" Subscript, "C" , Baseline cos "t" , "C" Subscript, 2 , Baseline plus "R" Subscript, "C" , Baseline sin "t" , right parenthesisVB=1CR=0Cmid−vC2<t<Cmid+vC2C1+RCcost,C2+RCsint
domain t Minimum: negative 2 tau−2τ
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 2 tau2τ
128
Expression 129: "A" Subscript, "m" "i" "d" , Baseline equals left brace, "A" Subscript, 1 , Baseline less than or equal to "D" Subscript, 1 , Baseline : tan to the negative 1st power StartFraction, "d" Subscript, 2 , Baseline Over "d" Subscript, 1 , Baseline , EndFraction , "A" Subscript, 1 , Baseline greater than "D" Subscript, 1 , Baseline : tan to the negative 1st power StartFraction, "d" Subscript, 2 , Baseline Over "d" Subscript, 1 , Baseline , EndFraction plus pi , right braceAmid=A1≤D1:tan−1d2d1,A1>D1:tan−1d2d1+π
equals=
00
129
Expression 130: "B" Subscript, "m" "i" "d" , Baseline equals left brace, "B" Subscript, 1 , Baseline less than or equal to "E" Subscript, 1 , Baseline : tan to the negative 1st power StartFraction, "e" Subscript, 2 , Baseline Over "e" Subscript, 1 , Baseline , EndFraction , "B" Subscript, 1 , Baseline greater than "E" Subscript, 1 , Baseline : tan to the negative 1st power StartFraction, "e" Subscript, 2 , Baseline Over "e" Subscript, 1 , Baseline , EndFraction plus pi , right braceBmid=B1≤E1:tan−1e2e1,B1>E1:tan−1e2e1+π
equals=
4.1 8 0 5 4 0 0 6 9 1 84.18054006918
130
Expression 131: "C" Subscript, "m" "i" "d" , Baseline equals left brace, "C" Subscript, 1 , Baseline less than or equal to "F" Subscript, 1 , Baseline : tan to the negative 1st power StartFraction, "f" Subscript, 2 , Baseline Over "f" Subscript, 1 , Baseline , EndFraction , "C" Subscript, 1 , Baseline greater than "F" Subscript, 1 , Baseline : tan to the negative 1st power StartFraction, "f" Subscript, 2 , Baseline Over "f" Subscript, 1 , Baseline , EndFraction plus pi , right braceCmid=C1≤F1:tan−1f2f1,C1>F1:tan−1f2f1+π