Mathematics

Integration is one of the most useful mathematical tools we can use. It can be used to find quantities such as the area enclosed by a function, volumes of revolution, arc lengths, and the like. It would not be wrong to say that without Integration, the world would be very…

This is the pt.1 of a series which will guide you through all the linear models of machine learning, from the math theory to writing the algorithm from scratch in Python. Here we’ll just make a small recap of high-school math to introduce what is a linear function. Why is…

By Ashley Langham Johannes Kepler had many talents in mathematics, science, philosophy, and theology. He had a difficult start to life; he grew up when his family was in financial decline and suffered many physical ailments, due to him being born prematurely. …

The curiosity to learn about our place and purpose in the Universe prompted us to look at it through skeptical eyes, and understand it through the scientific method of observation and application. We made models to explain the occurrences that we observed and continually refined them to make them fit…

This post is about the various uses of one-way functions and how they can be used to implement decentralized voting systems (called oracles) on Ethereum (or any other chain supporting smart contracts). One-way functions We say that f : X → Y is a one-way function if for every x in X…

You may already know that to tell whether a point P(x,y) is a local maximum, minimum or saddle point of the function f(x,y) we use the second derivative test which basically states the following. …