Recently Clounce was carrying out some experiments with MNIST dataset and he wanted to glimpse at how the digits in this dataset looks like. So he thought of displaying them using ASCII art in a console window. What is the MNIST dataset? MNIST (http://yann.lecun.com/exdb/mnist/index.html) is a subset of NIST (https://www.nist.gov/srd/nist-special-database-19), a database for handwritten digits. … Continue reading Fun with MNIST dataset

## Median

The 3 most popular average algorithms are: Arithmetic Mean Median Mode In the previous articles the Arithmetic Mean and Mode have been covered. The last popular average algorithm the Median is covered in this article. Median average is when the middle value within a range is found. For example, consider a class of 5 students … Continue reading Median

## Jacobsthal Number Sequence

In Mathematics several well-known sequences exist, like Fibonacci, Square numbers sequence, etc. One such sequence is Jacobsthal, which states that: Another way to calculate the Jacobsthal number without using recursion on the Jacobsthal equation, is to use the Binet formula [4][5]: Using any of the forumalas above to generate the first 50 numbers in the … Continue reading Jacobsthal Number Sequence

## Mode

When dealing with sparse data or data that is distributed towards the edges (U-Shaped sample), finding the Arithmetic Mean or Medium can provide wrong information about the data distribution. A way to calculate the average in such scenarios is to find where the data peaks exist. This method is called Mode. The mathematical formula above … Continue reading Mode

## Understanding Mathematical Symbols – Summation (Addition)

When a summation over a range of numbers is to be presented it is not uncommon to shorthand the notation using the Sigma (the letter S in Greek, written as a Big E with the middle t replaced by a less than symbol ). For example, the following sums can be represented in the Sigma … Continue reading Understanding Mathematical Symbols – Summation (Addition)