Common to the design of a railway or road building (especially for highway exits), as well as those crazy loops in many roller coasters, is the solution of differential equations in two or three dimensions that address the effect of curvature and centripetal acceleration on moving bodies. In the 1970s, Werner Stengel studied and applied several models to attack this problem and, among the many solutions he found, one struck him as particularly brilliant—the employment of clothoid loops (based on sections of Cornu's spiral). The first looping coaster designed with this paradigm was constructed in 1976 in the Baja Ridge area of Six Flags Magic Mountain, in Valencia, California, USA. It was built during the great American Revolution, and it featured the very first vertical loop (together with two corkscrews, for a total of three inversions). The following...
SciPy Recipes
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SciPy Recipes
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Overview of this book
With the SciPy Stack, you get the power to effectively process, manipulate, and visualize your data using the popular Python language. Utilizing SciPy correctly can sometimes be a very tricky proposition. This book provides the right techniques so you can use SciPy to perform different data science tasks with ease.
This book includes hands-on recipes for using the different components of the SciPy Stack such as NumPy, SciPy, matplotlib, and pandas, among others. You will use these libraries to solve real-world problems in linear algebra, numerical analysis, data visualization, and much more. The recipes included in the book will ensure you get a practical understanding not only of how a particular feature in SciPy Stack works, but also of its application to real-world problems. The independent nature of the recipes also ensure that you can pick up any one and learn about a particular feature of SciPy without reading through the other recipes, thus making the book a very handy and useful guide.
Table of Contents (11 chapters)
Preface
Free Chapter
Getting to Know the Tools
Getting Started with NumPy
Using Matplotlib to Create Graphs
Data Wrangling with pandas
Matrices and Linear Algebra
Solving Equations and Optimization
Constants and Special Functions
Calculus, Interpolation, and Differential Equations
Statistics and Probability
Advanced Computations with SciPy
Customer Reviews