Graph of function f(x) = (-1.2)^x | (-1)^x | Math 01/19

Опубликовано: 20 Октябрь 2024
на канале: Pythonika
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6

Plot the graph of the function f(x) = (-1.2)^x looks easy only for the first moment, but after some analysis, this function turns into a very complicated function. In this lecture, you can see how you can analyse this function. For simplicity (-1.2)^x was represented as 1.2^x*(-1)^x, but it is not much easier.
Because of the complexity of this function, the final draw was performed with Python code. Also in Python, you can see how to use RangeSlider (widget from MatPlotLib) and one of the algorithms to plot cylindrical functions on the plane projection. How to use the Python widget, read here: http://mycoding.uk/a/matplotlib_widge...
In this lecture, you will learn a bit about never continuous function (also known as always discontinuous function).

M̲̲y̲ l̲e̲c̲t̲u̲r̲e̲s̲:
▶ Math / 01 – Complex numbers:    • Math / 01 - Complex numbers  
▶ All mathematics lectures:    • Mathematics lectures  
▶ Text version: http://mycoding.uk/a/estimate__-1_2__...

Lecture content:
0:00 - (-1.2)^x theoretical solution
2:31 – Principal solution with python
4:35 – Graphic representation with Python
9:35 – Applying RangeSlider
10:59 – Graphical results
11:54 – Pure real solutions
14:38 – Real solution with python
17:32 – Graph for real solution (Im=0)
18:18 – Projection of cylindrical structure
23:21 – Graph X vs Phi - projection

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