Python

PYTHON


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In this eBook with 225 pages, first get an introduction to the different tools and their installation. The focus this eBook on scientific or engineering-operation and not a big programming.

The ebook is intended for beginners!

Of course, we start with an introduction to the programming language PYTHON.
Here you get the first instructions tells you and you learn to interact with the tool SPYDER to work.

SPYDER

 
 

NumPy

We move very quickly to the additional module NumPy for vector and matrix calculations. Without plot is not a scientist and engineer, and so we begin fairly quickly with the additional module matplotlib for the professional presentation of the results in 2D or 3D charts.
With the additional module SciPy first applications are presented in the Digital signal processing, such as statistics, digital filters or FFT.

FFT

We go into the field of image processing with the module scikit-image.
We will write simple dynamic simulation models in Python and represent the physical movements with the 3D visualization VPython. VPython

Using the CAS (Computer Algebra Systems), we can solve equations and simplify. We can Integrate, Differentiate.
The additional module PyBrain help us when it comes to the machine learning and neural networks help us to approximation and classification.

content



START
  This eBook
  Copyright

---- Tools und Installation ---------------------
What Tools?
What Editor?
WinPython download
Spyder
IPython Notebook
Interpreter
Control Panel
Qt
TortoiseHg

---- Basics PYTHON ---------------------
How to learn a language?
Variables
Variables
Input from Console
Lists
Methods on Lists
Methods and Functions on Lists
Lists in Lists in ....
Visualize lists
FOR-Loop
Compiler and Interpreter
range()
Such a FOR-Loop
Zwei FOR-Schleifen
Comments
IF-ELSE
IF-ELSE
Endless loop
Endless loop
True and False
Define functions
Calling functions
Multiple return values
33 reserved keywords

---- NumPy ------------------------------------
What is NumPy?
Datentype Array
1D, 2D, 3D Array
Datentyps
Array Dimensions
Slice
Functions and methods on array
Declare large arrays
Save/load data
Loading measurement data
Time vector

---- Matplotlib -------------------------------
Introduction
Plot(x)
Label
Plot(x,y)
Two Signals plott
Subplot
Histogram
Scatter

Plot image
3D Plot
More 3D Plots

---- SciPy ------------------------------------
What is SciPy?
Subpackages

  ---- Approximation ---------------------
  Interpolation and approximation
  Data for interpolation and spline
  1D-Interpolation
  Linear and non-linear interpolation
  Interpolation Number of points
  Univariane Spline
  Online and offline signal processing
  UnivarianteSpline Factor k
  2D Interpolation
  Online and Offline DSP

   ---- Digital filters -----------------------
  Basis Filter
  Filters with and without feedback
  Average value as LP filter
  Average value as LP filter in Python
  Normalized cut-off frequency
  Calculate coefficients a and b
  Change filter order
  Frequenzgang
  Phase delay
  FIR band lock
  FIR bandpass
  FIR high pass
  remez()-Function
  IIR-Filter
  IIR-Filder Designe
  IIRDESIGN Function LP-Filter
  IIRDESIGN Function HP-Filter
  IIRDESIGN Function BP-Filter

  ---- FFT ----------------------------------
  FFT Basics
  Online and offline signal processing
  Ideal FFT
  FFT normalize
  Everything times two
  FFT Frequency Scale
  FFT correct?
  Many sampling points are good!
  Fast scanning also good
  Ahannon Gesetz bitte nicht verletzen
  periode passt nicht
  Beginning and end do not fit
  Window
  Two sine signals
  IFFT
  Power spectrum
  Power Density Spectrum
  Spectrogram
  2D-Spectrum
  What else is there?
  Differentiation and integration

---- Image processing -------------------------
Image processing with PYTHON
Python(x,y)
Matplotlib can load images
Image is a matrix
You can calculate with matrices
Color image, grayscale image and binary image
With SciPy you can still use image processing
PIL and image processing
Load SciKit image an image
Histogram of gray image
What is a histogram?
Black/white image
Black/white image with sckit-image
Adaptive threshold
Contrast and brightness
Filter in image processing
Filter Functionality
Gauss-Filter
Median-Filter
mean value-Filter
High Pass-Filter
Edge detection with Sobel filter
Edge detection horizontal only
Sobel-edge detector
Gauß-Filter
All Filter
Morphology
2D FFT
Example FFT 2D
What does matching mean?
Example Matching
Texture and surface
Tracking
3D-Detection

---- VPython and Simulation --------------
Introduction
First 3D element
box()
sphere()
Animation
Animation Change of state
Trailer
Plot(x,y)
Vector as speed
Moon and earth orbit
Simulation Technology
From differential to integral calculus
LTI systems and Bodediagram

---- PyBrain and machine Learning -----
What does Machine Learning mean?
Installation
Register in WinPython module
Learning with and without teachers
Supervised Learning
Student= NN
NN should learn x*x
Supervised NN in Python
Supervised Learning algorithm
Backpropagation
How to use a network?
More neurons
Even more neurons
Overloading
Input-Output Neurons
Learning rate
Why normalize to 0 to 1?
Example XOR
Learning until a threshold is reached
More data
Random data between 0 and 1
2 inputs and 1 output
From regression to classification
Classification with NN
Sequential data type
and even more .......

---- SymPy and mathematics---------------
What is SymPy?
What is Computer Algebra System CAS?
Add two numbers
Fractions
Calculating with PI
Calculating with variables
Computer Algebra Tools
Linear equation
equate define
Solve equation by hand
Solve equation with SymPy Gamma
Solving equations with SymPy in Python
Rational numbers
Calculating two equations by hand
Calculating two equations with SymPy
Two equations and two independents
Differentiate function f
Integrate function f
Power series
Matrices
Limits

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PYTHON

scientific

computing

ARDUINO

Neuronal network

PyBrain

Simulink

MATLAB

Numpy

Matplotlib

VPython

Sensor

Motor

A/D-Wandler

Interrupt

Timer

RTOS

Sympy

PIL

SciPy

scikit

Image Processing