Uttryck 63: "D" Subscript, "r" "a" "n" "g" "e" "s" , Baseline equals join left parenthesis, left bracket, left parenthesis, "D" Subscript, "r" "a" "n" "g" "e" "B" "e" "g" "i" "n" "s" , Baseline left bracket, "k" Subscript, 1 , Baseline minus 1 , right bracket , "D" Subscript, "r" "a" "n" "g" "e" "B" "e" "g" "i" "n" "s" , Baseline left bracket, "k" Subscript, 1 , Baseline , right bracket minus 2 , right parenthesis for "k" Subscript, 1 , Baseline equals left bracket, 2...length left parenthesis, "D" Subscript, "r" "a" "n" "g" "e" "B" "e" "g" "i" "n" "s" , Baseline , right parenthesis , right bracket , right bracket , left parenthesis, "D" Subscript, "r" "a" "n" "g" "e" "B" "e" "g" "i" "n" "s" , Baseline left bracket, length left parenthesis, "D" Subscript, "r" "a" "n" "g" "e" "B" "e" "g" "i" "n" "s" , Baseline , right parenthesis , right bracket , length left parenthesis, "D" Subscript, "b" "r" "e" "a" "k" "s" , Baseline , right parenthesis , right parenthesis , right parenthesisDranges=joinDrangeBeginsk1−1,DrangeBeginsk1−2fork1=2...lengthDrangeBegins,DrangeBeginslengthDrangeBegins,lengthDbreaks
63
Uttryck 64: "f" Subscript, "r" "a" "n" "g" "e" "L" "e" "n" , Baseline left parenthesis, "R" Subscript, "a" "n" "g" "e" , Baseline , right parenthesis equals 1 plus "R" Subscript, "a" "n" "g" "e" , Baseline . "y" minus "R" Subscript, "a" "n" "g" "e" , Baseline . "x"frangeLenRange=1+Range.y−Range.x
64
Uttryck 65: "f" Subscript, "f" "i" "n" "d" "M" "a" "t" "c" "h" "C" "o" "u" "n" "t" , Baseline left parenthesis, "L" Subscript, "i" "s" "t" , Baseline , "R" Subscript, 1 , Baseline , "R" Subscript, 2 , Baseline , right parenthesis equals Start sum from "n" Subscript, 2 , Baseline equals "R" Subscript, 1 , Baseline . "x" to "R" Subscript, 1 , Baseline . "y" , end sum, Start sum from "n" Subscript, 3 , Baseline equals "R" Subscript, 2 , Baseline . "x" to "R" Subscript, 2 , Baseline . "y" , end sum, left brace, "L" Subscript, "i" "s" "t" , Baseline left bracket, "n" Subscript, 2 , Baseline , right bracket equals "L" Subscript, "i" "s" "t" , Baseline left bracket, "n" Subscript, 3 , Baseline , right bracket : 1 , 0 , right braceffindMatchCountList,R1,R2=R1.y∑n2=R1.xR2.y∑n3=R2.xListn2=Listn3:1,0
65
Uttryck 66: "f" Subscript, "f" "i" "n" "d" "M" "a" "t" "c" "h" , Baseline left parenthesis, "L" Subscript, "i" "s" "t" , Baseline , "R" Subscript, 1 , Baseline , "R" Subscript, 2 , Baseline , right parenthesis equals StartFraction, Start sum from "n" Subscript, 2 , Baseline equals "R" Subscript, 1 , Baseline . "x" to "R" Subscript, 1 , Baseline . "y" , end sum, Start sum from "n" Subscript, 3 , Baseline equals "R" Subscript, 2 , Baseline . "x" to "R" Subscript, 2 , Baseline . "y" , end sum, left brace, "L" Subscript, "i" "s" "t" , Baseline left bracket, "n" Subscript, 2 , Baseline , right bracket equals "L" Subscript, "i" "s" "t" , Baseline left bracket, "n" Subscript, 3 , Baseline , right bracket : "L" Subscript, "i" "s" "t" , Baseline left bracket, "n" Subscript, 3 , Baseline , right bracket , 0 , right brace Over "f" Subscript, "f" "i" "n" "d" "M" "a" "t" "c" "h" "C" "o" "u" "n" "t" , Baseline left parenthesis, "L" Subscript, "i" "s" "t" , Baseline , "R" Subscript, 1 , Baseline , "R" Subscript, 2 , Baseline , right parenthesis , EndFractionffindMatchList,R1,R2=R1.y∑n2=R1.xR2.y∑n3=R2.xListn2=Listn3:Listn3,0ffindMatchCountList,R1,R2
66
Uttryck 67: "f" Subscript, "f" "i" "n" "d" "M" "a" "t" "c" "h" "C" "o" "u" "n" "t" 3 , Baseline left parenthesis, "L" Subscript, "i" "s" "t" , Baseline , "R" Subscript, 1 , Baseline , "R" Subscript, 2 , Baseline , "R" Subscript, 3 , Baseline , right parenthesis equals Start sum from "n" Subscript, 2 , Baseline equals "R" Subscript, 1 , Baseline . "x" to "R" Subscript, 1 , Baseline . "y" , end sum, Start sum from "n" Subscript, 3 , Baseline equals "R" Subscript, 2 , Baseline . "x" to "R" Subscript, 2 , Baseline . "y" , end sum, Start sum from "n" Subscript, 4 , Baseline equals "R" Subscript, 3 , Baseline . "x" to "R" Subscript, 3 , Baseline . "y" , end sum, left brace, "L" Subscript, "i" "s" "t" , Baseline left bracket, "n" Subscript, 2 , Baseline , right bracket equals "L" Subscript, "i" "s" "t" , Baseline left bracket, "n" Subscript, 3 , Baseline , right bracket : left brace, "L" Subscript, "i" "s" "t" , Baseline left bracket, "n" Subscript, 3 , Baseline , right bracket equals "L" Subscript, "i" "s" "t" , Baseline left bracket, "n" Subscript, 4 , Baseline , right bracket : 1 , 0 , right brace , 0 , right braceffindMatchCount3List,R1,R2,R3=R1.y∑n2=R1.xR2.y∑n3=R2.xR3.y∑n4=R3.xListn2=Listn3:Listn3=Listn4:1,0,0
67
Uttryck 68: "f" Subscript, "f" "i" "n" "d" "M" "a" "t" "c" "h" 3 , Baseline left parenthesis, "L" Subscript, "i" "s" "t" , Baseline , "R" Subscript, 1 , Baseline , "R" Subscript, 2 , Baseline , "R" Subscript, 3 , Baseline , right parenthesis equals StartFraction, Start sum from "n" Subscript, 2 , Baseline equals "R" Subscript, 1 , Baseline . "x" to "R" Subscript, 1 , Baseline . "y" , end sum, Start sum from "n" Subscript, 3 , Baseline equals "R" Subscript, 2 , Baseline . "x" to "R" Subscript, 2 , Baseline . "y" , end sum, Start sum from "n" Subscript, 4 , Baseline equals "R" Subscript, 3 , Baseline . "x" to "R" Subscript, 3 , Baseline . "y" , end sum, left brace, "L" Subscript, "i" "s" "t" , Baseline left bracket, "n" Subscript, 2 , Baseline , right bracket equals "L" Subscript, "i" "s" "t" , Baseline left bracket, "n" Subscript, 3 , Baseline , right bracket : left brace, "L" Subscript, "i" "s" "t" , Baseline left bracket, "n" Subscript, 3 , Baseline , right bracket equals "L" Subscript, "i" "s" "t" , Baseline left bracket, "n" Subscript, 4 , Baseline , right bracket : "L" Subscript, "i" "s" "t" , Baseline left bracket, "n" Subscript, 4 , Baseline , right bracket , 0 , right brace , 0 , right brace Over "f" Subscript, "f" "i" "n" "d" "M" "a" "t" "c" "h" "C" "o" "u" "n" "t" 3 , Baseline left parenthesis, "L" Subscript, "i" "s" "t" , Baseline , "R" Subscript, 1 , Baseline , "R" Subscript, 2 , Baseline , "R" Subscript, 3 , Baseline , right parenthesis , EndFractionffindMatch3List,R1,R2,R3=R1.y∑n2=R1.xR2.y∑n3=R2.xR3.y∑n4=R3.xListn2=Listn3:Listn3=Listn4:Listn4,0,0ffindMatchCount3List,R1,R2,R3
68
Uttryck 69: "f" Subscript, "f" "i" "n" "d" "M" "a" "t" "c" "h" "I" "n" "H" "a" "l" "f" "S" "p" "l" "i" "t" "s" , Baseline left parenthesis, "L" Subscript, "i" "s" "t" , Baseline , "R" Subscript, "a" "n" "g" "e" , Baseline , right parenthesis equals "f" Subscript, "f" "i" "n" "d" "M" "a" "t" "c" "h" , Baseline left parenthesis, "D" Subscript, "i" "n" "p" "u" "t" , Baseline , left parenthesis, "R" Subscript, "a" "n" "g" "e" , Baseline . "x" , "R" Subscript, "a" "n" "g" "e" , Baseline . "x" plus StartFraction, "f" Subscript, "r" "a" "n" "g" "e" "L" "e" "n" , Baseline left parenthesis, "R" Subscript, "a" "n" "g" "e" , Baseline , right parenthesis Over 2 , EndFraction minus 1 , right parenthesis , left parenthesis, "R" Subscript, "a" "n" "g" "e" , Baseline . "x" plus StartFraction, "f" Subscript, "r" "a" "n" "g" "e" "L" "e" "n" , Baseline left parenthesis, "R" Subscript, "a" "n" "g" "e" , Baseline , right parenthesis Over 2 , EndFraction , "R" Subscript, "a" "n" "g" "e" , Baseline . "y" , right parenthesis , right parenthesisffindMatchInHalfSplitsList,Range=ffindMatchDinput,Range.x,Range.x+frangeLenRange2−1,Range.x+frangeLenRange2,Range.y
69
Uttryck 70: "V" Subscript, "r" "u" "c" "k" "s" "a" "c" "k" "M" "a" "t" "c" "h" "S" "u" "m" "s" , Baseline equals Start sum from "n" Subscript, 4 , Baseline equals 1 to length left parenthesis, "D" Subscript, "r" "a" "n" "g" "e" "s" , Baseline , right parenthesis , end sum, "f" Subscript, "f" "i" "n" "d" "M" "a" "t" "c" "h" "I" "n" "H" "a" "l" "f" "S" "p" "l" "i" "t" "s" , Baseline left parenthesis, "D" Subscript, "i" "n" "p" "u" "t" , Baseline , "D" Subscript, "r" "a" "n" "g" "e" "s" , Baseline left bracket, "n" Subscript, 4 , Baseline , right bracket , right parenthesisVrucksackMatchSums=lengthDranges∑n4=1ffindMatchInHalfSplitsDinput,Drangesn4
70
Uttryck 71: "V" Subscript, "e" "l" "f" "T" "r" "i" "p" "l" "e" "t" "M" "a" "t" "c" "h" "S" "u" "m" "s" , Baseline equals Start sum from "n" Subscript, 5 , Baseline equals 1 to StartFraction, length left parenthesis, "D" Subscript, "r" "a" "n" "g" "e" "s" , Baseline , right parenthesis Over 3 , EndFraction , end sum, "f" Subscript, "f" "i" "n" "d" "M" "a" "t" "c" "h" 3 , Baseline left parenthesis, "D" Subscript, "i" "n" "p" "u" "t" , Baseline , "D" Subscript, "r" "a" "n" "g" "e" "s" , Baseline left bracket, 3 "n" Subscript, 5 , Baseline minus 2 , right bracket , "D" Subscript, "r" "a" "n" "g" "e" "s" , Baseline left bracket, 3 "n" Subscript, 5 , Baseline minus 1 , right bracket , "D" Subscript, "r" "a" "n" "g" "e" "s" , Baseline left bracket, 3 "n" Subscript, 5 , Baseline , right bracket , right parenthesisVelfTripletMatchSums=lengthDranges3∑n5=1ffindMatch3Dinput,Dranges3n5−2,Dranges3n5−1,Dranges3n5
71
72
driven av
driven av
"x"x
"y"y
"a" squareda2
"a" Superscript, "b" , Baselineab
77
88
99
over÷
funktioner
((
))
less than<
greater than>
44
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+
eller
för att spara dina grafer!
Skapa en ny graf
Exempel
Linjer: Linjära funktioner
exempel
Linjer: Enpunktsformeln
exempel
Linjer: Tvåpunktsformeln
exempel
Parabler: Standardform
exempel
Parabler: Vertexform
exempel
Parabler: Standardform och tangens
exempel
Trigonometri: Våglängd och amplitud
exempel
Trigonometri: Fas
exempel
Trigonometri: Interferens
exempel
Trigonometri: Enhetscirkeln
exempel
Kägelsnitt: Cirkel
exempel
Kägelsnitt: Parabel och fokus
exempel
Kägelsnitt: Ellips med fokus
exempel
Kägelsnitt: Hyperbel
exempel
Polära ekvationer: Ros
exempel
Polära ekvationer: Logaritmisk spiral
exempel
Polära ekvationer: Limacon
exempel
Polära ekvationer: Kägelsnitt
exempel
Parameterform: Introduktion
exempel
Parameterform: Cykloid
exempel
Transformation: Avbildning av en funktion
exempel
Transformation: Förändra skalan på en funktion
exempel
Transformation: Invers av en funktion
exempel
Statistik: Linjär regression
exempel
Statistik: Anscombs kvartett
exempel
Statistik: Polynom av 4:e grad
exempel
Listor: Sinuskurvor
exempel
Listor: Stickandet av kurvor
exempel
Listor: Rita en graf från en lista med punkter
exempel
Infinitesimalkalkyl: Derivata
exempel
Infinitesimalkalkyl: Sekantlinje
exempel
Infinitesimalkalkyl: Tangentlinje
exempel
Infinitesimalkalkyl: Taylorutveckling av sin(x)
exempel
Infinitesimalkalkyl: Integraler
exempel
Infinitesimalkalkyl: Integraler med justerbara gränser
