Exploring the mathematics behind camera lens apertures and f-stop ratios with a bit of help from Python.

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Exploring the mathematics behind camera lens apertures and f-stop ratios with a bit of help from Python.

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In this article I will write a simple module to display very large or very small numbers in scientific notation in a more appealing format than that used by Python.

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I often use mathematical symbols in Python code which results in me scrabbling around to find the ones I need so I decided to write a simple module to simplify the process, which I will describe in this article.

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In this project I will write a Python class to represent angles in various units, and provide a selection of arithmetic and comparison operators.

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There is a wealth of information out there on plotting mathematical functions in Python, typically using NumPy to create a set of *y* values for a range of *x* values and plotting them with Matplotlib. In this article I will write a simple but powerful function to abstract away much of the repetitive code necessary to do this. In future articles I will show the code in use for a selection of functions.

In this article I will briefly explain radioactive decay and the concept of half-lives, and then go on to write Python code to illustrate the underlying mathematics.

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In the first part of this article I wrote code to calculate rough estimates of square roots which enable formulas which converge on accurate square root values to do so with fewer iterations. Part 1 also included code to graph estimates to compare them to accurate values.

In this second part I'll implement some of those formulas, again graphing the results alongside definitive values.

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Python provides us with a perfectly satisfactory method of calculating square roots, the math.sqrt() method, but in this pair of articles I will explore some of the ways square roots can actually be calculated from scratch. In this first article I will look into a few ways of calculating rough estimates which form a starting point or "seed" for the methods I'll examine in Part 2.

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The *International System of Units*, commonly known as the *SI System*, consists of seven base units for measuring quantities such as mass, time and electric current. These base units can be combined into *derived units* to measure a wide range of other quantities.

In this article I will develop a Python class to represent base unit values and associated methods. In a future article I will extend the project to handle derived units.

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There is plenty of information around on Python's set data structure but it usually approaches the topic from a programming perspective. In this article I will look at Python sets from the mathematical point of view.

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