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Index
A
Aberration terms
Android cell phone
B
Bessel-sinc function
C
Cartesian coordinate plane
Cartesian coordinates
Circular function
Circular symmetry
ClearObjects() function
Cylindrical coordinates
stereoscopic plot
wave aberration
D
Dirac delta function
Discrete integral
Discrete two-dimensional Fourier transform
accumulators
built-in summation
circular function
Discretization process
Double-NumPy summation
E
Ellipsoid of revolution
F
Factor0 parameter
FillPolygon(B,P) function
Fourier transform
circular function
discrete
one-dimension
two-dimension
Fresnel diffraction integral
G
Gaussian function
GraphFunction(B) function
Gravitational N-body
buttons
dynamic equations
force
masses
motion equations
numerical data
array planets
memory region
planets
storing values
planets
acceleration components
analytical expression
axes
coordinates
dynamic distances
ellipses
File.kv file
initial conditions
initial distances
main.py file
movement
MovePlanets() function
percentage variable
positions
velocities
Which parameter
program running
vectors
H
Hyperboloid
I, J, K, L, M
Ideal lens
linear term
transmittance function
import io directive
Initialize(B, *args) function
N
Newton’s gravitational law
Newton’s law of motion
numpy.sum function
O
OBJECT parameter
One-dimensional Fourier transform
discrete integral
discrete summation
frequency array
Rect function
vibrating frequency
vibrating string
P, Q
Parametric 3D plotting
code
equations
file.kv File
main.py File
pip3 install Pillow command
pip3 list directive
Plank’s constant
Polar coordinates
R
Real-valued rectangular function
Rectangular function
Rectangular two-dimensional function
Rect function
RotateFunction
Rotation equations
S
Schrödinger’s differential equation
Seidel aberrations
ShowScene(B) function
Sinc function
Sinusoidal function
Software installation
Buildozer
Kivy
pip3/IDLE
Spatial function
Spatial two-dimensional mapping
Spherical aberration
Spherical coordinates
associated Legendre polynomials
angular axes
arrays
generation
LaTeX
list
symbolic function
SymPy
coordinates
differential equation
cartesian coordinates
functions
Plank’s constant
Schrödinger
solutions
spatial positions
spherical-harmonics functions
plotting functions
angular arrays
File.kv file
main.py file
mesh/vertical coordinates
orbitals
parameters
plots
polynomials
program running
three-dimensional
Spherical harmonics polynomials
Stereoscopic ellipsoid plotting
complete code
mesh
pixels
position vector
Stereoscopic parametric 3D plots
array
circular helix
directives
displaying the scene
File.kv file
main.py file
memory
parametric function
PIL images
plotting the function
tuple list
Stereoscopic scenes
angle arrays/function
associated Legendre polynomials
File.kv file
lambdify directive
main.py file
mesh/vertical coordinates
parameters
PIL images
plots
PointList
polygons
program running
Stereoscopic 3D plots
Android cell phone
create two images
drawing plot
file.kv code
function/coordinates/mesh, create
Stereoscopic 3D programming
Android cell phone
cellophane films
DrawAxes fuction
ORing images
points of projection
File.kv
main.py
polygon structure
projections
stereoscopic effect
Stereoscopic two-dimensional Fourier transforms
SymPy
analytical expressions/symbols
Android projects
declaring functions
algebraic expression
numerical function
sp.lambdify( Q) directive
symbolic expression
integration
numerical value
simultaneous equations
solving equations
symbolic differentiation
symbolic value
T, U
Three-dimensional conics
Three-dimensional ellipsoid
Three-dimensional polygons
Cell phone screenshot
functions
edges
File.kv code
main.py Code
pseudocode
rotate polygon points
structure
3D plots programming
function
gaussian function
generating axes/mesh/function
GraphFunction(B)
operations
PointList Array
rotating plot
code
File.kv.File
Filling y[n][m]
Gaussian function
main.py File
StencilView widget
Three-dimensional projections
point of projection
programming
screen
tool
vector
Two-dimensional Dirac delta function
Two-dimensional Fourier transform
Two-dimensional polygon programming
Android cell phone
Buildozer
drawing edges
filling lines
Kivy
rotating polygon
structure
Two-dimensional rectangular function
V
Vertical array
Vertical circular hyperboloid
Vertical hyperbola
code
independent arrays
mesh sets
surfaces
Vertical scaling amplitude
W, X, Y, Z
Wavefront aberration
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