The testing and demonstrative picturesLaurent Claessens

June 23, 2017

1

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

110

3

Picture SFdgHdO The result is on figure 2.

••

•

•

KHKH

Figure 2: <+Type your caption here+>

4

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

47

(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

20

(l) Theanglemeasurehas tobe placedcorrectly

60

(m) The angle mea-sure has to be placedcorrectly

60

(n) The angle mea-sure has to be placedcorrectly

12

(o) The angle mea-sure has to beplaced correctly

ÈÉç(p) The angle mea-sure has to be placedcorrectly

Figure 3: Marks are correct.

6

Picture FMLCooxHtqRzUz

K

L

M

N

Comment : The segments KM is divided by // and the segment NL by a simple /.

7

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

8

Comment : The angles are red and an arrow is drawn in the trigonometric sense.Picture : MJWWooEMdGoa

24

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,

9

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.

10

Picture ASZLoocnIGlRHf

•N

E WS

•1

1

Comment : The marks are positionned as written

11

Picture YJEDoojDtSeKHQ

•

•−x0−1

1

Comment :

• one line in blue, one in red

• at the right : dotted green

• the surface is hatched in cyan

12

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

13

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.

14

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

15

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

33

Picture : VAAYooXndWQq

16

a2

mmmmmm∫ µ

Ω

17

Picture : HUGKooTkDsOg

30

Picture : BQFUooTuMfnj

40

Picture : VRQCooOchjJA

140

Picture : QEPZooNndwiS

a

q

Picture : AEUYooWXYBuI

∫A

40mmmm

Picture : TBAGooZgekGa

c

Picture CWKJooppMsZXjw

•arg(z)

18

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

19

Picture : QWEHooSRqSdw

c

Picture QEFQoomlfmOQTM

•P

Comment : With the mark.

•

Comment : Without the mark.

•P

Comment : With the mark.

20

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

21

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

23

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+>

24

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

25

Comment : A large green wavy part and a small red wavy part.File ParametricTwo

26

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.

27

There are 4 subfigures at figure 9.

−2 −1 1 2

−6

−5

−4

−3

−2

−1

1

2

3

4

5

6

(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

9

(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.

28

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

29

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

30