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Martin McBride
Martin McBride

484 Followers

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Published in

Graphic maths

·3 days ago

Logic gates

Modern computers, and many other electronic devices, are based on digital electronics. Digital electronic circuits are mainly composed of logic gates, which we will look at in this article. The main CPU chip in a computer can contain hundreds of millions of logic gates, resulting in highly complex behaviour, but…

Mathematics

6 min read

Logic gates
Logic gates
Mathematics

6 min read


5 days ago

Proof of Euler’s formula

Three proofs, just to be sure. In this article we will see various ways to prove Euler’s formula and Euler’s identity. Euler’s formula Euler’s formula is:

Mathematics

7 min read

Proof of Euler’s formula
Proof of Euler’s formula
Mathematics

7 min read


Published in

Graphic maths

·Sep 11

Trinary numbers and the Cantor set part 2

The Cantor set is one of the simplest fractals, and also one of the earliest to have been studied in detail. As a one-dimensional structure, it was easy to visualise before modern computers were available. History of the Cantor set Georg Cantor is best known for his work on early set theory. One of his…

Mathematics

10 min read

Trinary numbers and the Cantor set part 2
Trinary numbers and the Cantor set part 2
Mathematics

10 min read


Published in

Graphic maths

·Sep 9

Trinary numbers and the Cantor set

We are all familiar with base 10 numbers (denary). And if you have ever done any computer programming you will also be familiar with base 2 numbers (binary). This article is about trinary numbers (sometimes called ternary numbers). Trinary numbers use base 3. Why study these numbers? Well, one important…

Mathematics

5 min read

Trinary numbers and the Cantor set
Trinary numbers and the Cantor set
Mathematics

5 min read


Published in

Graphic maths

·Sep 3

Derivative of sine, geometric proof

The first derivative of the sine function is the cosine function:

Mathematics

4 min read

Derivative of sine, geometric proof
Derivative of sine, geometric proof
Mathematics

4 min read


Published in

Graphic maths

·Sep 1

History and application of binary numbers

We tend to think of binary numbers as being a modern concept developed as part of computer science. But in fact, some elements of the binary system were known in ancient times, because they were very useful in many fields back then. This article explains how binary numbers work, but…

Mathematics

10 min read

History and application of binary numbers
History and application of binary numbers
Mathematics

10 min read


Published in

Graphic maths

·Aug 27

Graph Theory — Adjacency Matrices

A graph is often represented by a graph diagram like the one on the left, below:

Computer Science

8 min read

Graph Theory — Adjacency Matrices
Graph Theory — Adjacency Matrices
Computer Science

8 min read


Published in

Graphic maths

·Aug 20

Countable and uncountable sets

Some infinite sets are more infinite than others. A set is a collection of objects. In this article, we will look at how we go about counting the elements in a set. …

Mathematics

10 min read

Countable and uncountable sets
Countable and uncountable sets
Mathematics

10 min read


Published in

Graphic maths

·Aug 12

What is i to the power i?

The result is quite surprising! The imaginary unit is defined to be the positive square root of -1. But what is to the power i? Is it even possible to calculate, and what does it mean? As we will see, it is possible to calculate i to the power i…

Mathematics

6 min read

What is i to the power i?
What is i to the power i?
Mathematics

6 min read


Published in

Graphic maths

·Aug 6

Differentiation — the product rule

The product rule allows us to find the derivative of the product of 2 or more functions. It provides a simple way to differentiate functions such as:

Mathematics

7 min read

Differentiation — the product rule
Differentiation — the product rule
Mathematics

7 min read

Martin McBride

Martin McBride

484 Followers

Software developer and maths enthusiast. graphicmaths.com

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