Hidden Label: left parenthesis, "T" , "a" , right parenthesisT,a
Label
11
Expression 12: left parenthesis, 1 minus "a" Subscript, "n" "i" "m" "a" "t" "i" "o" "n" , Baseline , right parenthesis "P" left parenthesis, "t" , 10 "n" , 10 , right parenthesis plus StartFraction, 10 "a" Subscript, "n" "i" "m" "a" "t" "i" "o" "n" , Baseline "P" left parenthesis, "t" , 10 "n" , 10 , right parenthesis Over StartRoot, "P" left parenthesis, "t" , 10 "n" , 10 , right parenthesis . "x" squared plus "P" left parenthesis, "t" , 10 "n" , 10 , right parenthesis . "y" squared , EndRoot , EndFraction1−animationPt,10n,10+10animationPt,10n,10Pt,10n,10.x2+Pt,10n,10.y2
domain t Minimum: negative 10−10
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 1010
12
Expression 13: left parenthesis, 1 minus "a" Subscript, "n" "i" "m" "a" "t" "i" "o" "n" , Baseline , right parenthesis "P" left parenthesis, "t" , 10 "n" , negative 10 , right parenthesis plus StartFraction, 10 "a" Subscript, "n" "i" "m" "a" "t" "i" "o" "n" , Baseline "P" left parenthesis, "t" , 10 "n" , negative 10 , right parenthesis Over StartRoot, "P" left parenthesis, "t" , 10 "n" , negative 10 , right parenthesis . "x" squared plus "P" left parenthesis, "t" , 10 "n" , negative 10 , right parenthesis . "y" squared , EndRoot , EndFraction1−animationPt,10n,−10+10animationPt,10n,−10Pt,10n,−10.x2+Pt,10n,−10.y2
domain t Minimum: negative 10−10
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 1010
13
Expression 14: "P" left parenthesis, 10 "n" , "t" , 10 , right parenthesis left parenthesis, 1 minus "a" Subscript, "n" "i" "m" "a" "t" "i" "o" "n" , Baseline , right parenthesis plus StartFraction, 10 "a" Subscript, "n" "i" "m" "a" "t" "i" "o" "n" , Baseline left parenthesis, "P" left parenthesis, 10 "n" , "t" , 10 , right parenthesis , right parenthesis Over StartRoot, "P" left parenthesis, 10 "n" , "t" , 10 , right parenthesis . "x" squared plus "P" left parenthesis, 10 "n" , "t" , 10 , right parenthesis . "y" squared , EndRoot , EndFractionP10n,t,101−animation+10animationP10n,t,10P10n,t,10.x2+P10n,t,10.y2
domain t Minimum: negative 10−10
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 1010
14
Expression 15: left parenthesis, 1 minus "a" Subscript, "n" "i" "m" "a" "t" "i" "o" "n" , Baseline , right parenthesis "P" left parenthesis, 10 "n" , "t" , negative 10 , right parenthesis plus StartFraction, 10 "a" Subscript, "n" "i" "m" "a" "t" "i" "o" "n" , Baseline "P" left parenthesis, 10 "n" , "t" , negative 10 , right parenthesis Over StartRoot, "P" left parenthesis, 10 "n" , "t" , negative 10 , right parenthesis . "x" squared plus "P" left parenthesis, 10 "n" , "t" , negative 10 , right parenthesis . "y" squared , EndRoot , EndFraction1−animationP10n,t,−10+10animationP10n,t,−10P10n,t,−10.x2+P10n,t,−10.y2
domain t Minimum: negative 10−10
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 1010
15
Expression 16: left parenthesis, 1 minus "a" Subscript, "n" "i" "m" "a" "t" "i" "o" "n" , Baseline , right parenthesis "P" left parenthesis, 10 "n" , 10 , "t" , right parenthesis plus StartFraction, 10 "a" Subscript, "n" "i" "m" "a" "t" "i" "o" "n" , Baseline "P" left parenthesis, 10 "n" , 10 , "t" , right parenthesis Over StartRoot, "P" left parenthesis, 10 "n" , 10 , "t" , right parenthesis . "x" squared plus "P" left parenthesis, 10 "n" , 10 , "t" , right parenthesis . "y" squared , EndRoot , EndFraction1−animationP10n,10,t+10animationP10n,10,tP10n,10,t.x2+P10n,10,t.y2
domain t Minimum: negative 10−10
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 1010
16
Expression 17: left parenthesis, 1 minus "a" Subscript, "n" "i" "m" "a" "t" "i" "o" "n" , Baseline , right parenthesis "P" left parenthesis, 10 "n" , negative 10 , "t" , right parenthesis plus StartFraction, 10 "a" Subscript, "n" "i" "m" "a" "t" "i" "o" "n" , Baseline "P" left parenthesis, 10 "n" , negative 10 , "t" , right parenthesis Over StartRoot, "P" left parenthesis, 10 "n" , negative 10 , "t" , right parenthesis . "x" squared plus "P" left parenthesis, 10 "n" , negative 10 , "t" , right parenthesis . "y" squared , EndRoot , EndFraction1−animationP10n,−10,t+10animationP10n,−10,tP10n,−10,t.x2+P10n,−10,t.y2
domain t Minimum: negative 10−10
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 1010
17
Expression 18: "X" left parenthesis, "x" , "y" , "z" , right parenthesis equals left brace, round left parenthesis, mod left parenthesis, "x" plus "y" plus "z" , 6 , right parenthesis , right parenthesis equals 0 : 10 , round left parenthesis, mod left parenthesis, "x" plus "y" plus "z" , 6 , right parenthesis , right parenthesis equals 1 : negative 10 , "x" , right braceXx,y,z=roundmodx+y+z,6=0:10,roundmodx+y+z,6=1:−10,x
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Expression 19: "Y" left parenthesis, "x" , "y" , "z" , right parenthesis equals left brace, round left parenthesis, mod left parenthesis, "x" plus "y" plus "z" , 6 , right parenthesis , right parenthesis equals 2 : 10 , round left parenthesis, mod left parenthesis, "x" plus "y" plus "z" , 6 , right parenthesis , right parenthesis equals 3 : negative 10 , "y" , right braceYx,y,z=roundmodx+y+z,6=2:10,roundmodx+y+z,6=3:−10,y
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Expression 20: "Z" left parenthesis, "x" , "y" , "z" , right parenthesis equals left brace, round left parenthesis, mod left parenthesis, "x" plus "y" plus "z" , 6 , right parenthesis , right parenthesis equals 4 : 10 , round left parenthesis, mod left parenthesis, "x" plus "y" plus "z" , 6 , right parenthesis , right parenthesis equals 5 : negative 10 , "z" , right braceZx,y,z=roundmodx+y+z,6=4:10,roundmodx+y+z,6=5:−10,z
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Hidden Label: "P" left parenthesis, left parenthesis, 1 minus "a" Subscript, "n" "i" "m" "a" "t" "i" "o" "n" , Baseline , right parenthesis "k" plus StartFraction, 10 "a" Subscript, "n" "i" "m" "a" "t" "i" "o" "n" , Baseline "k" Over StartRoot, "k" squared plus "j" squared plus "h" squared , EndRoot , EndFraction , left parenthesis, 1 minus "a" Subscript, "n" "i" "m" "a" "t" "i" "o" "n" , Baseline , right parenthesis "j" plus StartFraction, 10 "a" Subscript, "n" "i" "m" "a" "t" "i" "o" "n" , Baseline "j" Over StartRoot, "k" squared plus "j" squared plus "h" squared , EndRoot , EndFraction , left parenthesis, 1 minus "a" Subscript, "n" "i" "m" "a" "t" "i" "o" "n" , Baseline , right parenthesis "h" plus StartFraction, 10 "a" Subscript, "n" "i" "m" "a" "t" "i" "o" "n" , Baseline "h" Over StartRoot, "k" squared plus "j" squared plus "h" squared , EndRoot , EndFraction , right parenthesisP1−animationk+10animationkk2+j2+h2,1−animationj+10animationjk2+j2+h2,1−animationh+10animationhk2+j2+h2
