Monthly Best Of on 09/05/2000




Tridimensional representation of a quadridimensional Calabi-Yau manifold

Jean-François COLONNA
www.lactamme.polytechnique.fr
jean-francois.colonna@polytechnique.edu
CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641, Ecole Polytechnique, CNRS, 91128 Palaiseau Cedex, France
france telecom, France Telecom R&D

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Contents of this page:


1-The 128 most referenced Pictures:



Welcome aboard A VIRTUAL SPACE-TIME TRAVEL MACHINE
1-424 reference(s)
Artistic view of the prime numbers
2-328 reference(s)
The Birth of the Universe
3-263 reference(s)
Particles in a bidimensional box submitted to a repulsive central field of gravity
4-260 reference(s)
Jean-François Colonna
5-236 reference(s)
Quark and gluon structure of a nucleon
6-223 reference(s)
Quark and gluon dynamics of the nucleon
7-192 reference(s)
Artistic view of the Big Bang
8-166 reference(s)
The 16 most referenced pictures on 01/30/1996
9-151 reference(s)
Cauliflowers, seaweeds, shells,... with fog
10-146 reference(s)
Texture animation by means of the generalized Fourier filtering process
11-145 reference(s)
From the infinitely small to the infinitely big
12-145 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
13-140 reference(s)
N-body problem integration (N=2)displaying a perfect Keplerian orbit
14-138 reference(s)
From Pluto to the Sun
15-120 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
16-112 reference(s)
The Lorenz attractor
17-106 reference(s)
The three pendulums and three magnets problem computed on three different computers (the Red one, the Green one and the Blue one: sensitivity to rounding-off errors)
18-105 reference(s)
A twisting rope
19-99 reference(s)
Rotation about the Y (vertical)axis of a tridimensional fractal aggregate that can also be viewed as a set of 4x3 pseudo-stereograms
20-96 reference(s)
Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
21-93 reference(s)
Real numbers do not exist for a computer
22-92 reference(s)
From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
23-91 reference(s)
Electron-positron scattering
24-90 reference(s)
A Lissajous surface
25-89 reference(s)
Three pendulums -the Red one, the Green one and the Blue one- and three magnets -white-
26-89 reference(s)
The Lorenz attractor -sensitivity to initial conditions (displayed as the central point of each frame)-
27-89 reference(s)
Carnival in motion
28-88 reference(s)
Tridimensional visualization of a bidimensional turbulent flow
29-88 reference(s)
N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)computed on three different computers (the Red one, the Green one and the Blue one: sensitivity to rounding-off errors)
30-87 reference(s)
The Mandelbrot set computed for 1 to 16 iterations with display of the arguments
31-87 reference(s)
The iterative process used to generate bidimensional fractal fields (16 iterations)
32-87 reference(s)
Mountains at sunrise
33-86 reference(s)
A perfect bidimensional piston with following initial conditions: still piston, high temperature particles at left and low temperature particles at right, in a bidimensional box submitted to a vertical field of gravity
34-85 reference(s)
Beyond the Gate
35-82 reference(s)
N-body problem integration (N=3)with one yellow star and two planets (the red one being very heavy and the blue one being light)
36-81 reference(s)
Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation)
37-81 reference(s)
The Eratosthene sieve displaying 10x10 numbers
38-80 reference(s)
Artistic view of the trajectories of bidimensional fractal aggregates obtained by means of pasting during collisions of particles submitted to an attractive central field of gravity
39-78 reference(s)
Bidimensional visualization of a bidimensional turbulent flow -sensitivity to initial conditions-
40-78 reference(s)
N-body problem integration (N=10)displaying the actual Solar System with its simultaneous 2.pi rotation
41-77 reference(s)
Computation of the Lorenz attractor on three different computers (the Red one, the Green one and the Blue one: sensitivity to rounding-off errors)
42-76 reference(s)
Texture animation by means of Fourier interpolation
43-76 reference(s)
Texture animation by means of Fourier interpolation
44-76 reference(s)
Bidimensional fractal aggregates obtained by means of pasting during collisions of particles submitted to an attractive central field of gravity
45-75 reference(s)
16 earth-like planets initially on the same keplerian trajectory
46-75 reference(s)
N-body problem integration (N=4)with one yellow star and two planets (the red one being very heavy and the blue one and its white satellite being light)
47-74 reference(s)
Double impossible staircase
48-74 reference(s)
Texture animation by means of Fourier filtering of a random walk process
49-73 reference(s)
An Archimedes spiral displaying 1000 numbers
50-73 reference(s)
Animation of a sunrise on mountains
51-73 reference(s)
Zoom in on the von Koch curve
52-72 reference(s)
Tridimensional fractal aggregates obtained by means of pasting during collisions of particles submitted to an attractive central field of gravity
53-72 reference(s)
Peace
54-71 reference(s)
N-body problem integration (N=10)displaying the actual Solar System with its simultaneous 2.pi rotation, our Earth being at the origin of the coordinates
55-71 reference(s)
N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)computed with 2 different optimization options on the same computer (sensitivity to rounding-off errors)
56-70 reference(s)
Tridimensional zoom in on the Mandelbrot set
57-69 reference(s)
Zoom in on a quaternionic Julia set -tridimensional cross-sections-
58-69 reference(s)
Isotropic random walk of 64 particles on a bidimensional square lattice
59-68 reference(s)
2 identical grey squares moving over a grey scale
60-68 reference(s)
Artistic view of a 2.pi rotation about the Y axis of a quaternionic Julia set -tridimensional cross-sections-
61-68 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
62-68 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
63-66 reference(s)
display of the inclination of two elliptic trajectories
64-66 reference(s)
An arbitrary surface (Jeener surface 2)in motion
65-66 reference(s)
Liquid Jean-Francois Colonna
66-66 reference(s)
Rotation about the Y (vertical)axis of a tridimensional fractal aggregates that can also be viewed as a set of 4x3 pseudo-stereograms
67-65 reference(s)
Bidimensional fractal aggregates obtained by means of pasting during collisions of particles submitted to an attractive central field of gravity
68-65 reference(s)
The erection of the Babel Tower
69-65 reference(s)
From Mars to the Sun
70-65 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
71-65 reference(s)
Along the border of the Mandelbrot set
72-64 reference(s)
The trajectories of bidimensional fractal aggregates obtained by means of pasting during collisions of particles submitted to an attractive central field of gravity
73-64 reference(s)
Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
74-64 reference(s)
Artistic view of Ph(Zeta)
75-63 reference(s)
N-body problem integration (N=9)with a simultaneous 2.pi rotation of the observer
76-62 reference(s)
Zoom in on the quaternionic Mandelbrot set -tridimensional cross-sections-
77-62 reference(s)
Rotation about the X axis of the Lorenz attractor
78-62 reference(s)
Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
79-62 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
80-62 reference(s)
Zoom in on the von Koch curve
81-61 reference(s)
The Eratosthene sieve displaying 100x100 numbers
82-61 reference(s)
Electron diffraction
83-61 reference(s)
The first true colors autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
84-60 reference(s)
Brownian motion of a few heavy slow particles inside a gaz of fast light particles
85-60 reference(s)
16 complex Julia sets
86-60 reference(s)
Tridimensional visualization of a bidimensional turbulent flow
87-60 reference(s)
16 complex Julia sets along the border of the Mandelbrot set with display of the iteration numbers
88-59 reference(s)
Rotation about the Y axis of the Boy surface with motion blur
89-59 reference(s)
Picture interpolation by means of the Generalized Product
90-59 reference(s)
Waltzing Monument Valley
91-59 reference(s)
Dynamics of an erosion process (bird's-eye view)
92-59 reference(s)
Mountains and light cloud dynamics -this sequence being periodical-
93-59 reference(s)
Black and white display of a tridimensional function
94-59 reference(s)
Bidimensional zoom in on the Verhulst dynamics
95-59 reference(s)
2.pi rotation about the Y axis of a quaternionic Julia set -tridimensional cross-sections-
96-59 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
97-59 reference(s)
Tridimensional display of 36 eigenstates of the Hydrogen atom (tridimensional computation)
98-59 reference(s)
Rotation about the X axis of the Lorenz attractor (1000 iterations), computed simultaneously on two different computers
99-58 reference(s)
The wall-paper process
100-58 reference(s)
From a sphere to the Boy surface
101-58 reference(s)
Fractal diffusion front in a bidimensional medium obtained by means of identical interacting particles
102-57 reference(s)
Bidimensional visualization of the Verhulst dynamics
103-57 reference(s)
Translation along the fourth axis of a quaternionic Julia set -tridimensional cross-sections-
104-57 reference(s)
Bidimensional texture animation by means of the generalized Fourier filtering process and accumulation
105-56 reference(s)
The generalized Ulam spiral displaying 1024 numbers
106-56 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
107-56 reference(s)
N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)-sensitivity to initial conditions-
108-56 reference(s)
Depth of field effect with motion blur
109-56 reference(s)
Autostereogram with an hidden volcano and an animated disguise texture
110-55 reference(s)
Bidimensional fractal aggregates obtained by means of two families of interacting particles with the following initial conditions about velocity: V for the Red ones and V/5 for the Blue ones
111-55 reference(s)
Paradoxal Monument Valley at sunset
112-55 reference(s)
Rotation about the Y axis of the 32 vertices of a 5-cube with fog
113-55 reference(s)
The normal field of a shell (Jeener surface 1)
114-55 reference(s)
The random walk of photons escaping the Sun
115-54 reference(s)
Earthquake (bird's-eye view)
116-54 reference(s)
Hodograph of the velocity vectors of the 9 planets of the Solar System during one plutonian year
117-54 reference(s)
Rotation about the X axis of the Lorenz attractor
118-54 reference(s)
A shell (Jeener surface 1)in motion
119-54 reference(s)
Electron-neutrino scattering
120-54 reference(s)
Isotropic random walk of 64 particles on a tridimensional square lattice
121-53 reference(s)
The generalized Ulam spiral
122-53 reference(s)
The Möbius strip
123-53 reference(s)
A leaking bidimensional piston with following initial conditions: high temperature particles at left and low temperature particles at right
124-52 reference(s)
Non isotropic random walk of 64 particles on a bidimensional square lattice in a 'ring' potential
125-52 reference(s)
Botticelli anomaly on the Moon
126-52 reference(s)
From Pluto to the Sun -extrapolation 1- (non linear scales)
127-52 reference(s)
From Mars to the Sun -extrapolation-
128-52 reference(s)




2-The 128 most referenced Pages:



1-demo_14
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2-An2000.01.Fra
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3-display
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4-ExpV_VirE.Fra
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5-ImagesDuVirtuel.01.Fra
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6-help.
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7-demo_14.FV
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8-present.01.
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9-AProposSite.01.Fra
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10-copyright.01.
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11-Galerie_ArtAndScience.FV
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12-GenieLogiciel.01.Fra
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13-create.03.
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14-ImagesDuVirtuel.01.Fra.FV
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15-ExpV_VirE.Ang
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16-Galerie_BestOf.FV
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17-Galerie_CelestialMechanics.FV
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18-Galerie_ArtisticCreation.FV
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19-mail.01.vv
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20-An2000.02.Fra
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21-Galerie_Astrophysics.FV
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22-Galerie_DeterministicChaos.FV
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23-An2000.01.Ang
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24-Galerie_NewPictures.FV
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25-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
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26-Galerie_FluidMechanics.FV
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27-Galerie_DeterministicFractalGeometry.FV
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28-VisSci_SciVis.01
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29-Galerie_QuantumMechanics.FV
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30-AnimFractal.01.
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31-BEST.20000717
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32-Galerie_NumberTheory.FV
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33-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
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34-catalogue.11
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35-Fractal.01
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36-Galerie_GeneralitiesVisualization.FV
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37-Galerie_TextureSynthesis.FV
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38-Kepler.02.
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39-ManyChaos.01.Fra
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40-ExpV_VirE.01.Fra
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41-subject.01.
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42-an2000.01.fra
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43-MonumentValley.01.Fra
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44-ExpV_VirE.01.Ang
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45-Galerie_SensitivityToRoundingOffErrors.FV
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46-ImpossibleStructures.01.Ang
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47-Galerie_SignalProcessing.FV
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48-DuReelAuVirtuel.01.Fra
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49-An2000.06.Fra
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50-An2000.03.Fra
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51-relativity.01.
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52-An2000.05.Fra
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53-MonumentValley.01.Ang
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54-LOG_xiMc.11
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55-RealNumbers.01.Fra
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56-infinity.01.vv
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57-......demo
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58-An2000.04.Fra
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59-Spheres.01
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60-stereogra.01.c.
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61-ArtOrdinateur.01
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62-Vcatalogue.11
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63-Autostereograms.01.
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64-ManyChaos.01.Ang
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65-ImpossibleStructures.01.Fra
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66-Galerie_DeterministicChaos
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67-demo_14..m4.
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68-Galerie_CelestialMechanics
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69-BEST.20000323
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70-ArtScience.01
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71-LumiereVirtuelleParadoxale.01
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72-PatrimoineHumanite.02.Fra
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73-JFC
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74-IllusionConnaissance.01
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75-demo_14.FV..m4.
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76-Ariane501.01.Fra
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77-real.01.vv.
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78-BEST.20000403
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79-An2000.11.Fra
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80-hydrogene.61.K.
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81-BEST.20000517
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82-catalogue.11..m4.
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83-Galerie_SensitivityToRoundingOffErrors
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84-AProposSite.01.Ang
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85-Galerie_DeterministicFractalGeometry
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86-T_DuReelAuVirtuel_MetaOrdinateur.01.Fra.0003
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87-PremierMinistre.01.Fra
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88-PourLaScience.01.Fra
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89-nCube.22.c.
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90-real.02.
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91-T_DuReelAuVirtuel_MetaOrdinateur.01.Fra.0006
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92-PresidentRepublique.01.Fra
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93-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis
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94-verhulst.94.c.
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95-relai.01.vA
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96-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0010
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97-PresidentRepublique.02.Fra
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98-MinistreEducationNationale.01.Fra
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99-GenieLogiciel.01.Ang
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100-T_DuReelAuVirtuel_recherche.01.Fra.0008
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101-InformatiqueProfessionnelle.01.Fra
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102-Galerie_GeneralitiesVisualization
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103-relai.01.vB
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104-T_DuReelAuVirtuel_recherche.01.Fra.0009
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105-T_DuReelAuVirtuel_ExpReelle.01.Fra.0004
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106-nCube.21.I.
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107-T_DuReelAuVirtuel_recherche.01.Fra.0011
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108-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0009
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109-relai.01.vC
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110-T_DuReelAuVirtuel_MetaOrdinateur.01.Fra.0004
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111-RealNumbers.01.Ang
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112-Galerie_ArtisticCreation
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118-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0008
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119-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0004
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120-Galerie_TextureSynthesis
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121-Galerie_ArtAndScience
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122-cerveau.01.vA.
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123-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0006
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124-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0005
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125-T_DuReelAuVirtuel_ExpReelle.01.Fra.0005
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126-Galerie_SignalProcessing
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127-Galerie_Astrophysics
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128-infinity.01
22 reference(s)

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Copyright (c) Jean-François Colonna, 2000-2018.
Copyright (c) France Telecom R&D and CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2000-2018.