Expression 17: polygon left parenthesis, negative 1 left parenthesis, 1 "L" , right parenthesis "f" Subscript, "c" "i" "r" "c" "l" "e" , Baseline left parenthesis, left parenthesis, sin "L" 900222 "L" Subscript, 1 , Baseline plus 3 "L" squared , right parenthesis cos left parenthesis, 34222 "L" Subscript, 1 , Baseline , right parenthesis , right parenthesis minus left parenthesis, 0 , 1.7 , right parenthesis with "L" Subscript, 1 , Baseline equals left bracket, StartFraction, tau Over 4 , EndFraction , StartFraction, tau Over 4 , EndFraction plus StartFraction, tau Over 305 , EndFraction ... tau , right bracket , right parenthesis for "L" equals left bracket, 1 , 1.0 1 , ...1.2 , right bracketpolygon−11LfcirclesinL900222L1+3L21cos34222L1−0,1.7withL1=τ4,τ4+τ305...τforL=1,1.01,...1.2
17
Expression 18: "y" less than or equal to Start sum from "n" Subscript, 2 , Baseline equals 0 to 3, end sum, left parenthesis, StartFraction, .0 6cos left parenthesis, 4.5 Superscript, "n" Subscript, 2 , Baseline minus 1 , Baseline "x" minus left parenthesis, 2 , right parenthesis , right parenthesis Over 2 Superscript, "n" Subscript, 2 , Baseline , Baseline , EndFraction , right parenthesis minus 1.9y≤3∑n2=0.06cos4.5n2−1x−22n2−1.9
18
Expression 19: "y" less than or equal to Start sum from "n" Subscript, 2 , Baseline equals 0 to 3, end sum, left parenthesis, StartFraction, .0 6cos left parenthesis, 4.5 Superscript, "n" Subscript, 2 , Baseline minus 1 , Baseline "x" minus left parenthesis, 2 , right parenthesis , right parenthesis Over 2 Superscript, "n" Subscript, 2 , Baseline , Baseline , EndFraction , right parenthesis minus 1.9 left brace, 2sin left parenthesis, 10 left parenthesis, "x" plus "y" , right parenthesis plus cos left parenthesis, 24 "y" , right parenthesis , right parenthesis plus 1.9cos left parenthesis, negative 1.5 left parenthesis, 2 "x" minus 4 "y" , right parenthesis plus sin left parenthesis, 9 "x" , right parenthesis , right parenthesis greater than .1 , right bracey≤3∑n2=0.06cos4.5n2−1x−22n2−1.92sin10x+y+cos24y+1.9cos−1.52x−4y+sin9x>.1
19
Expression 20: "y" less than or equal to Start sum from "n" Subscript, 2 , Baseline equals 0 to 3, end sum, left parenthesis, StartFraction, .0 6cos left parenthesis, 4.5 Superscript, "n" Subscript, 2 , Baseline minus 1 , Baseline "x" minus left parenthesis, 2 , right parenthesis , right parenthesis Over 2 Superscript, "n" Subscript, 2 , Baseline , Baseline , EndFraction , right parenthesis minus 1.9 left brace, 2sin left parenthesis, 10 left parenthesis, "x" plus "y" , right parenthesis plus cos left parenthesis, 24 "y" , right parenthesis , right parenthesis plus 4cos left parenthesis, negative 1.5 left parenthesis, 2 "x" minus 4 "y" , right parenthesis plus sin left parenthesis, 9 "x" , right parenthesis , right parenthesis greater than .0 5 , right bracey≤3∑n2=0.06cos4.5n2−1x−22n2−1.92sin10x+y+cos24y+4cos−1.52x−4y+sin9x>.05
20
Expression 21: "y" less than or equal to Start sum from "n" Subscript, 2 , Baseline equals 0 to 3, end sum, left parenthesis, StartFraction, .0 6cos left parenthesis, 4.5 Superscript, "n" Subscript, 2 , Baseline minus 1 , Baseline "x" minus left parenthesis, 2 , right parenthesis , right parenthesis Over 2 Superscript, "n" Subscript, 2 , Baseline , Baseline , EndFraction , right parenthesis minus left bracket, 1.9 , 2.1 5 , ...5 , right brackety≤3∑n2=0.06cos4.5n2−1x−22n2−1.9,2.15,...5
21
Expression 22: polygon left parenthesis, negative 1 left parenthesis, 3 "L" , right parenthesis "f" Subscript, "c" "i" "r" "c" "l" "e" 2 , Baseline left parenthesis, left parenthesis, sin "L" 900222 "L" Subscript, 1 , Baseline plus 3 "L" squared , right parenthesis cos left parenthesis, 34222 "L" Subscript, 1 , Baseline , right parenthesis , right parenthesis plus left parenthesis, 0 , negative 8 , right parenthesis with "L" Subscript, 1 , Baseline equals left bracket, 0 , 0 plus StartFraction, tau Over 405 , EndFraction ... tau , right bracket , right parenthesis for "L" equals left bracket, 1 , 1.0 5 , ...1.4 , right bracketpolygon−13Lfcircle2sinL900222L1+3L21cos34222L1+0,−8withL1=0,0+τ405...τforL=1,1.05,...1.4
22
Expression 23: polygon left parenthesis, negative 1 left parenthesis, 3 "L" , right parenthesis "f" Subscript, "c" "i" "r" "c" "l" "e" 2 , Baseline left parenthesis, left parenthesis, sin "L" 900222 "L" Subscript, 1 , Baseline plus 3 "L" squared , right parenthesis cos left parenthesis, 34222 "L" Subscript, 1 , Baseline , right parenthesis , right parenthesis plus left parenthesis, 0 , negative 8 , right parenthesis with "L" Subscript, 1 , Baseline equals left bracket, 0 , 0 plus StartFraction, tau Over 8005 , EndFraction ... tau , right bracket , right parenthesis for "L" equals left bracket, 1 , 1.0 2 5 , ...1.2 , right bracketpolygon−13Lfcircle2sinL900222L1+3L21cos34222L1+0,−8withL1=0,0+τ8005...τforL=1,1.025,...1.2
23
Expression 24: polygon left parenthesis, negative 1 left parenthesis, 3 "L" , right parenthesis "f" Subscript, "c" "i" "r" "c" "l" "e" 2 , Baseline left parenthesis, left parenthesis, sin "L" 900222 "L" Subscript, 1 , Baseline plus 3 "L" squared , right parenthesis cos left parenthesis, 34222 "L" Subscript, 1 , Baseline , right parenthesis , right parenthesis plus left parenthesis, 0 , negative 8 , right parenthesis with "L" Subscript, 1 , Baseline equals left bracket, 0 , 0 plus StartFraction, tau Over 8005 , EndFraction ... tau , right bracket , right parenthesis for "L" equals left bracket, 1 , 1.0 2 5 , ...1.2 , right bracketpolygon−13Lfcircle2sinL900222L1+3L21cos34222L1+0,−8withL1=0,0+τ8005...τforL=1,1.025,...1.2
24
Expression 25: polygon left parenthesis, negative 1 left parenthesis, 3 "L" , right parenthesis "f" Subscript, "c" "i" "r" "c" "l" "e" 2 , Baseline left parenthesis, left parenthesis, sin "L" 900222 "L" Subscript, 1 , Baseline plus 3 "L" squared , right parenthesis cos left parenthesis, 34222 "L" Subscript, 1 , Baseline , right parenthesis , right parenthesis plus left parenthesis, 0 , negative 8 , right parenthesis with "L" Subscript, 1 , Baseline equals left bracket, 0 , 0 plus StartFraction, tau Over 8005 , EndFraction ... tau , right bracket , right parenthesis for "L" equals left bracket, 1.2 , right bracketpolygon−13Lfcircle2sinL900222L1+3L21cos34222L1+0,−8withL1=0,0+τ8005...τforL=1.2
25
Expression 26: negative .0 1secant left parenthesis, StartFraction, 15cos to the negative 1st power left parenthesis, cos left parenthesis, 3 "t" , right parenthesis , right parenthesis Over 1.6 , EndFraction , right parenthesis left parenthesis, sin left parenthesis, "t" , right parenthesis , cos left parenthesis, "t" , right parenthesis , right parenthesis plus left parenthesis, 0 , negative 2 , right parenthesis−.01sec15cos−1cos3t1.6sint,cost+0,−2
26
Expression 27: polygon left parenthesis, negative 2 left parenthesis, .1 "r" Subscript, "o" "t" , Baseline , right parenthesis "f" Subscript, "r" "o" "t" , Baseline left parenthesis, .0 5cos left parenthesis, sin left parenthesis, 222 "L" Subscript, 1 , Baseline , right parenthesis plus "L" Subscript, 1 , Baseline , right parenthesis left parenthesis, StartFraction, 20 Over 1 , EndFraction plus cos left parenthesis, 42 left parenthesis, sin left parenthesis, 222 "L" Subscript, 1 , Baseline , right parenthesis plus "L" Subscript, 1 , Baseline , right parenthesis , right parenthesis , right parenthesis , .0 5 left parenthesis, StartFraction, 20 Over 1 , EndFraction plus cos 42 "L" Subscript, 1 , Baseline , right parenthesis sin left parenthesis, left parenthesis, sin left parenthesis, 222 "L" Subscript, 1 , Baseline , right parenthesis plus left parenthesis, sin left parenthesis, 222 "L" Subscript, 1 , Baseline , right parenthesis plus "L" Subscript, 1 , Baseline , right parenthesis , right parenthesis , right parenthesis , right parenthesis minus left parenthesis, 0 , 1.7 , right parenthesis with "L" Subscript, 1 , Baseline equals left bracket, 0 , StartFraction, tau Over 105 , EndFraction ... tau , right bracket , right parenthesis for "r" Subscript, "o" "t" , Baseline equals 10 left parenthesis, left bracket, 0 , 0.1 , ...5 , right bracket , right parenthesispolygon−2.1rotfrot.05cossin222L1+L1201+cos42sin222L1+L1,.05201+cos42L1sinsin222L1+sin222L1+L1−0,1.7withL1=0,τ105...τforrot=100,0.1,...5
27
Expression 28: polygon left parenthesis, negative 2.5 left parenthesis, .1 "r" Subscript, "o" "t" , Baseline , right parenthesis "f" Subscript, "r" "o" "t" , Baseline left parenthesis, .0 5cos left parenthesis, sin left parenthesis, 222 "L" Subscript, 1 , Baseline , right parenthesis plus "L" Subscript, 1 , Baseline , right parenthesis left parenthesis, StartFraction, 20 Over 1 , EndFraction plus cos left parenthesis, 42 left parenthesis, sin left parenthesis, 222 "L" Subscript, 1 , Baseline , right parenthesis plus "L" Subscript, 1 , Baseline , right parenthesis , right parenthesis , right parenthesis , .0 5 left parenthesis, StartFraction, 20 Over 1 , EndFraction plus cos 42 "L" Subscript, 1 , Baseline , right parenthesis sin left parenthesis, left parenthesis, sin left parenthesis, 222 "L" Subscript, 1 , Baseline , right parenthesis plus left parenthesis, sin left parenthesis, 222 "L" Subscript, 1 , Baseline , right parenthesis plus "L" Subscript, 1 , Baseline , right parenthesis , right parenthesis , right parenthesis , right parenthesis minus left parenthesis, 0 , 1.7 , right parenthesis with "L" Subscript, 1 , Baseline equals left bracket, 0 , StartFraction, tau Over 105 , EndFraction ... tau , right bracket , right parenthesis for "r" Subscript, "o" "t" , Baseline equals 10 left parenthesis, left bracket, 0 , 0.1 , ...5 , right bracket , right parenthesispolygon−2.5.1rotfrot.05cossin222L1+L1201+cos42sin222L1+L1,.05201+cos42L1sinsin222L1+sin222L1+L1−0,1.7withL1=0,τ105...τforrot=100,0.1,...5
28
Expression 29: "x" squared plus left parenthesis, "y" plus 1.7 , right parenthesis squared less than 1.3 left brace, "y" greater than Start sum from "n" Subscript, 2 , Baseline equals 0 to 3, end sum, left parenthesis, StartFraction, .0 6cos left parenthesis, 4.5 Superscript, "n" Subscript, 2 , Baseline minus 1 , Baseline "x" minus left parenthesis, 2 , right parenthesis , right parenthesis Over 2 Superscript, "n" Subscript, 2 , Baseline , Baseline , EndFraction , right parenthesis minus 1.9 , right bracex2+y+1.72<1.3y>3∑n2=0.06cos4.5n2−1x−22n2−1.9
29
Expression 30: "L" left parenthesis, negative "L" , "L" , right parenthesis minus left parenthesis, negative 1 , 2.5 , right parenthesis for "L" equals left bracket, 1 , 1.1 , ...2 , right bracketL−L,L−−1,2.5forL=1,1.1,...2
30
Expression 31: "L" left parenthesis, 0 , .5 "L" , right parenthesis minus left parenthesis, 0 , 5 , right parenthesis for "L" equals left bracket, 1 , 1.1 , ...2 , right bracketL0,.5L−0,5forL=1,1.1,...2
31
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propulsé par
propulsé par
"x"x
"y"y
"a" squareda2
"a" Superscript, "b" , Baselineab
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88
99
over÷
fonctions
((
))
less than<
greater than>
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55
66
times×
| "a" ||a|
,,
less than or equal to≤
greater than or equal to≥
11
22
33
negative−
A B C
StartRoot, , EndRoot
piπ
00
..
equals=
positive+
ou
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Exemples
Droites : Forme avec la pente et l'ordonnée à l'origine
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Droites : Forme avec la pente passant par un point donné
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Droites : Passant par deux points donnés
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Paraboles : Forme générale
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Paraboles : Forme canonique
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Paraboles : Forme générale + Tangente
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Trigonométrie : Période et Amplitude
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Trigonométrie : Phase
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Trigonométrie : Phase et addition de fonctions
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Trigonométrie : Cercle trigonométrique
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Coniques : Cercle
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Coniques : Parabole et Foyer
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Coniques : Ellipse et Foyers
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Coniques : Hyperbole
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Polaire : Rosace
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Polaire : Spirale logarithmique
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Polaire : Limaçon
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Polaire : Les coniques
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Paramétrique : Introduction
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Paramétrique : Cycloïde
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Transformations : Translation de fonctions
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Transformations : Compression et étirement de fonctions
