Creating a Neural Network: AI Machine Learning A neural network is a type of machine learning algorithm modeled after the structure and function of the human brain. It is composed of a large number of interconnected “neurons,” which are organized into layers. These layers are responsible for processing and transforming the input data and passing […]
Can Artificial Intelligence (Chat GPT) Get a 7 on an SL Maths paper? ChatGPT is a large language model that was trained using machine learning techniques. One of the standout features of ChatGPT is its mathematical abilities. It can perform a variety of calculations and solve equations. This advanced capability is made possible by the […]
(Header image generated from here). ECDSA: Elliptic Curve Signatures This is the second post on this topic – following on from the first post here. Read that first for more of the maths behind this! In this post I’ll look at this from a computational angle – and make a simple Python code to create […]
The mathematics behind blockchain, bitcoin and NFTs. If you’ve ever wondered about the maths underpinning cryptocurrencies and NFTs, then here I’m going to try and work through the basic idea behind the Elliptic Curve Digital Signature Algorithm (ECDSA). Once you understand this idea you can (in theory!) create your own digital currency or NFT – […]
Finding planes with radar PlusMaths recently did a nice post about the link between ellipses and radar (here), which inspired me to do my own mini investigation on this topic. We will work in 2D (with planes on the ground) for ease of calculations! A transmitter will send out signals – and if any of […]
Proving Pythagoras Like Einstein? There are many ways to prove Pythagoras’ theorem – Einstein reputedly used the sketch above to prove this using similar triangles. To keep in the spirit of discovery I also just took this diagram as a starting point and tried to prove this myself, (though Einstein’s version turns out to be […]
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