Gain insights into utilizing NumPy for data manipulation and analytics. Learn about implementing concepts in both Python and NumPy through coding challenges and quizzes.

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python3.6

Live3.6

If you're looking to grow your career in machine learning or data science in this day and age, adding a powerful library to your skill set is an important place to start. In that vein, Python has become one of the most widely used tools in the industry for serious data analytics, and NumPy is probably the most widely used data analytics library. With NumPy, you can manipulate data involving multi-dimensional arrays and matrices (think linear algebra).

Join us as we venture into the vast world of NumPy in this comprehensive course. Each lesson dive into the actual implementation of concepts in both pure Python and then NumPy, exploring how NumPy vectorization compares to traditional Python that uses a procedural and object-oriented approach.

Practice and test yourself along the way with in-browser coding challenges, quizzes, and more.

This course is intended for users who are already familiar with intermediate level Python.

From Python to Numpy

# Problem Description

Reaction and diffusion of chemical species can produce a variety of patterns, reminiscent of those often seen in nature. The Gray-Scott equations model such a reaction. For more information on this chemical system see the article Complex Patterns in a Simple System (John E. Pearson, Science, Volume 261, 1993).




Let's consider two chemical species `U` and `V` 
with **respective concentrations** `u` and `v`and **diffusion rates** `Du` and `Dv`. 


`V` is converted into `P` with a rate of conversion `k`. `f` represents the rate of the process that feeds `U` and drains `U`, `V` and `P`. This can be written as:

| **Chemical reaction** | **Equations** |
|-|-|
| $U + 2V \rightarrow 3V$ | $\dot{u} = Du \nabla^2 u - uv^2 + f(1-u)$ |
| $V \rightarrow P$ | $\dot{v} = Dv \nabla^2 v + uv^2 - (f+k)v$ |

Based on the Game of Life example, we will try to implement such reaction-diffusion system. Here is a set of interesting parameters to test:


|**Name**    |**Du**| **Dv**|   **f**|  **k**|
|-|-|-|-|-|
|Bacteria 1|	0.16|	0.08|	0.035|	0.065|
|Bacteria 2|	0.14|	0.06|	0.035|	0.065|
|Coral| 	0.16|	0.08|	0.060|	0.062|
|Fingerprint|	0.19|	0.05|	0.060|	0.062|
|Spirals|	0.10|	0.10|	0.018|	0.050|
|Spirals Dense|	0.12|	0.08|	0.020|	0.050|
|Spirals Fast|	0.10|	0.16|	0.020|	0.050|
|Unstable|	0.16|	0.08|	0.020|	0.055|
|Worms 1|	0.16|	0.08|	0.050|	0.065|
|Worms 2|	0.16|	0.08|	0.054|	0.063|
|Zebrafish|	0.16|	0.08|	0.035|	0.060|



This lesson covers another case study called "Reaction-Diffusion" based on the Gary Scott model. 

Introduction

Anatomy of an Array

Code Vectorization

Problem Vectorization

Custom Vectorization

Beyond NumPy

Conclusion

Coding Example: Reaction-Diffusion

Problem Description