The testing and demonstrative pictures · PictureexCircleTwo •P 10 • P 20 • P 50 • P 130...
Transcript of The testing and demonstrative pictures · PictureexCircleTwo •P 10 • P 20 • P 50 • P 130...
The testing and demonstrative picturesLaurent Claessens
June 23, 2017
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Picture : ERPMooZibfNOiU
Picture : XOLBooGcrjiwoU
−10 −8 −6 −4 −2 2 4 6 8 10
− 3200
− 1100
− 1200
1200
1100
Picture : JRCJooPHFcKn
•F
•E
Picture : TgCercleTrigono
ϕ
2
Picture CercleTrigono The result is on figure 1.
•
•θ
P
Figure 1: <+Type your caption here+>
Picture : UOEOooLxhpSC
d2
Picture : AAPMooHEcnzW
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Picture SFdgHdO The result is on figure 2.
••
•
•
KHKH
Figure 2: <+Type your caption here+>
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Picture exCircleTwo
• P10• P20
•P50•
P130
•P300
•P350−1 1 2
−1
1
2
Picture exCircleTwo
• P10• P20
•P50•
P130
•P300
•P350−1 1 2
−1
1
2
Picture : Refraction
θ1
Picture OMPAooMbyOIqeA
5
55.0
(a) The angle mea-sure has to be placedcorrectly
880
(b) The angle mea-sure has to be placedcorrectly
30o
(c) The anglemeasure hasto be placedcorrectly
mMó
(d) Theangle mea-sure has tobe placedcorrectly
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(e) The angle mea-sure has to be placedcorrectly
333(f) The angle mea-sure has to be placedcorrectly
∫A
40mmmm
(g) The angle measure hasto be placed correctly
who
(h) The angle mea-sure has to be placedcorrectly
σ
(i) The anglemeasure has to beplaced correctly
FloO
(j) The anglemeasure has to beplaced correctly
100
(k) The angle measurehas to be placed correctly
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(l) Theanglemeasurehas tobe placedcorrectly
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(m) The angle mea-sure has to be placedcorrectly
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(n) The angle mea-sure has to be placedcorrectly
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(o) The angle mea-sure has to beplaced correctly
ÈÉç(p) The angle mea-sure has to be placedcorrectly
Figure 3: Marks are correct.
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Picture FMLCooxHtqRzUz
K
L
M
N
Comment : The segments KM is divided by // and the segment NL by a simple /.
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Picture BHESoofmkTbbZR : the famous f(x) = sin(1/x).
1
−1
1
Picture PVRFoobvAzpZTq
6
7
Comment : The marks 6 and 7 are well positionedFor the numbering on the axes with dilatation : QIXEooejrojKjo
•
•
−10 −5 5 10
−10
−5
5
10
Comment : The numbering on the axes are not too far, not too close from the axis although there is a dilatationPicture : WQVZooAhkdlegv
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Comment : The angles are red and an arrow is drawn in the trigonometric sense.Picture : MJWWooEMdGoa
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130
About axes and grid : GGHOookMhIxqIK
−5 −4 −3 −2 −1 1 2 3 4 5
−3
−2
−1
1
2
3
Comment : x 7→ 2.7 sin(x), the axes and the gridThis is a circle with a tangent vector and a mark :Picture : TRJEooPRoLnEiG
•lims(F γ′)
•K
Comment : A circle with a point and a mark : lims(F γ′) and on other point with the mark KPicture UREIooqNGBXtHg
•A
•B
•C
•O
Comment :
1. The mark of the point A is on the line OA,
2. the mark on B on the line OB,
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3. the mark on C is at angle −90 degree
4. and the one of O is at angle 225 degree
Picture QIPRoolQCEnZdx
110
Comment : The angle at A has a mark 110 degree.
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Picture ASZLoocnIGlRHf
•N
E WS
•1
1
Comment : The marks are positionned as written
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Picture YJEDoojDtSeKHQ
•
•−x0−1
1
Comment :
• one line in blue, one in red
• at the right : dotted green
• the surface is hatched in cyan
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Picture AxesSecond
•
••••••• •
• •• •
•••••••
xx
y = sinh(x)y = sinh(x)
Comment : The marks on the axes : x and y = sinh(x).Picture exCircle
Comment : A magenta circle of radius 2One red point :Picture OnePoint
•
Picture GridThree
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Picture GridTwo
Picture MarkOnPoint
•çà
♦q
Comment : unicode in the mark : çàFile QRJOooKZPUoLlF
Comment : lines in green, one arrow in each sense and area hatched in grey.Sudoku grid.
-3 0 3 -2
3 -1
. . . -2 . . . 1
1 3 -1 . . .-4 -3
-4 1 . . . -1
. . . . . . . . . 2 . . .1 . . . . . . . . . . . .2 -4 . . . 1 . . . 0
A
1
B
2
C
3
D
4
E
5
F
6
G
7
H
8
I
9
Comment : One sudoku grid with numbers from −4 to 4.
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Multiple subfigures :
A point with a mark and its bounding box Picture QRXCooUmnlhkvh
•e∫Ω γ
Comment : The bounding box of the text is drawn and its corner almost touches the pointPicture ALAYooKKrRTkCG
A
B
C
H
Comment : The right angle at H is correctly indicated.Picture PJKBooOhGVPkeR
−2 −1 1 2
−1
1
2
3
Comment : Le graphe de x2 − 1 dans la boite xmin=-2,xmax=2,ymin=-0.5,ymax=3Picture LVPSoozFTyaeCG
Comment : Une couronnePicture CUZFooGqZLaAEp
•P
Comment : A half-ellips is posed on the line and centered on the point PPicture JSYWooQYduLVLS
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Comment : A quarter of ellipsePicture LWVXooPyIlOKNd
limx→∞ f(x) B C
(2, 1)∫ ba
sin(x)
(3, 1) ∆k(Am) ...
∆2(A)
Comment : The matrix limx→∞ f(x) B C
(2, 1)∫ ba
sin(x)
(3, 1) ∆k(Am)...
(1)
with
1. a box around each element
2. a red square around the 2x2 upper left square
3. ∆2(A) over the latter red square
Picture : SMXRooCnrlNw
Picture : EDEYRhQ
•Besançon
•St-Vit
•Dole
•Auxonne
•Genlis
•Dijon
10 15 9 9 12
Comment : Les nombres arrivent au centre des vecteurs, et non au bout.Picture : VNJWooDeKdcy
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Picture : VAAYooXndWQq
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a2
mmmmmm∫ µ
Ω
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Picture : HUGKooTkDsOg
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Picture : BQFUooTuMfnj
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Picture : VRQCooOchjJA
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Picture : QEPZooNndwiS
a
q
Picture : AEUYooWXYBuI
∫A
40mmmm
Picture : TBAGooZgekGa
c
Picture CWKJooppMsZXjw
•arg(z)
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θ
Figure 4: <+Type your caption here+>
Picture AMDUooZZUOqa The result is on figure 4.Picture : WWPPooTSxdXI
Picture : CNVAooybLqXmVS
Comment : The rectangles are hatched and the edges are dotted.Picture : TKXZooLwXzjS
Figure 5: Le champ de vecteurs F (x, y) = 1x (1, 0).
Picture : XWWHooIkLOwZ
mmmmmmmm
Picture : HRIVooBXxZES
40
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Picture : QWEHooSRqSdw
c
Picture QEFQoomlfmOQTM
•P
Comment : With the mark.
•
Comment : Without the mark.
•P
Comment : With the mark.
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Picture QHXKooHTpEuXMw
•P
Comment : The mark P is over the red line and under the cyan line.Picture OMZOoowEtRUuMi
•
Comment : A cylinder is drawn. The above circle is half-dashed while the one on the basis is dashed.Picture XBAUooFtMWukKr
1. Comment : A pie for 4/7
2. Comment : A pie for 4/28
3. Comment : A pie for 1/7
Picture MXKAoozETwoiTe The result is on figure 6.
|0
|11
|22
|33
|44
|55
|66
|77
|88
|99
|110
20 65
15
Figure 6: An histogram.
Comment : 3 boxes of height 20,65,15. These figures are written on the boxes.Picture AESIooxXxRYQdT
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DS 1
DS 2
DS 3•
DS 4•
DS 5•
DS 6•
DS 7•
DS 8•
DS 9•
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Comment : Box diagrams of student graduationPicture VLEGoolDFCdZDU
Comment : A right angle is coded. And a brown triangle is drawnPicture DYJNooLVVFHEfN
••
π/6π/6
Comment : The two marks π/6 are correctly placed.Picture OYBTooNUcJLzDH
f(x)=foo
•a
•b
Comment :
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• Axes do not intersect because point (0,0) is not on the picture.
• Marks on points a and b well positioned.
• It is written «f(x)=foo» on the function.
Picture OGGDooIvakwNlL
AB
CD
a1 a2
c1 c2
Comment : The marks are a1, a2, c1, c2
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Picture OGGDooIvakwNlL
AB
CD
b a
ab
Comment : The marks are b, a, a, bPicture NWAEooQBLYYrpS Comment : The angles are well circular, and the marks are correctly positioned.
A B
CD
?
?
Picture MBWHooeesXIrsz
A B
C
Comment : Vérifier la longueur des codages.Picture : ECQDooWEpuCM
•KLLLΩ
•BBB
•C
Picture : CornetGlaceThe result is on figure 7.
−1 1
1
Figure 7: <+Type your caption here+>
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About adding plotpoints : Picture EXIIooJzzoJeai on the figure 8.
(a) Normal (50 points) (b) adding smart plotpoints
(c) more points (5000) (d) with curvature plotpoints = 50
Figure 8: <+Type your caption here+>
See also the subfigure 8(a) See also the subfigure 8(b) See also the subfigure 8(c)Picture ParametricOne
−3 −2 −1 1 2 3
−2
−1
1
2
Picture FunctionFirst
−6 −5 −4 −3 −2 −1 1 2 3 4 5 6
−1
1
Picture exCirclesThree
−2 −1 1 2
−2
−1
1
2
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Comment : A large green wavy part and a small red wavy part.File ParametricTwo
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Picture UARHooLMWqvyaI
1 2 3 4 5
1
Comment : The mantisse function : f(x)=x-floor(x). On of the triangles is filled in green.Picture HUBEoofsPjXOQx
5 10 15 20 25 30
120
110
Comment : The χ2 distribution.Picture HELQooLGapRQrr
Comment : This is the graph of the function x 7→∫ x
0.1sin(t)t dt.
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There are 4 subfigures at figure 9.
−2 −1 1 2
−6
−5
−4
−3
−2
−1
1
2
3
4
5
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(a) La fonction y = ex
−2 −1 1 2
1
2
(b) La fonction y = |x|
−2 −1 1 2
1
2
3
4
5
6
7
8
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(c) La fonction y = x2 + 1 à gauche et (x + 1)2 àdroite.
−2 −1 1 2
−3
−2
−1
1
(d) La fonction y = log2(2x−1)
Figure 9: 4 subfigures still to be descripted.
Comment : Une figure multiple à détailler.
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Picture DEIToomZFknFmn
Comment : The surface is filled in red, the curves are blue and the vertical segments are black.Points and marks on a graph 1 :Picture FunctionFive
•P0
•P1
•P2
•P3
•P4
•P5
•P6
•P7
•P8
• P9
• P10
•P11
•P12
−5 −4 −3 −2 −1 1 2 3 4 5
−5
−4
−3
−2
−1
1
2
Comment :
• Points are regularly spaced with respect to the arc length
• Marks are on the exterior normal.
Points and marks on a graph 2 :Picture FunctionFour
•P−5.0
•P−4.0
•P−3.0
•P−2.0
•P−1.0
•P0.0
•P1.0
•P2.0
• P3.0
•P4.0
−5 −4 −3 −2 −1 1 2 3 4 5
−5
−4
−3
−2
−1
1
2
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Comment : Points are regularly spaced with respect to abscisses.Picture FunctionSecond
Figure YOWDooyeyOJyml
− 32 π
−π − 12 π
12 π
π 32 π
−3
−2
−1
1
2
3
4
5
Comment : The axe is graduated with multiples of π
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