Quick Revision: Basis and Subbasis (Part 1.2)

Ways to “compress” a topology!

Quick Revision: Topological Spaces (Part 1.1)

The definition of topological spaces and some interesting examples and counterexamples of topological spaces!

Quick Revision: Topology (Part 0)

A series to quickly revise Topology – Dedicated to my students.

Solving Linear ODE using Python

Solving nth Order Linear Differential Equations using Laplace Transforms in Python

Signal vs. Telegram vs. WhatsApp

Which is the best IM app for you? Mine’s Signal!

Topology/Analysis: Homeomorphism

Definition If is one-one and onto (1-1 correspondence/bijection) continuous is continuous Then we call a homeomorphism between two metric spaces . The metric space  are said to be homeomorphic. Properties and Theorems If f is a homeomorphism between metric spaces , The set G⊂ is open if and only if the image f(G)⊂ is open. The…

Rank Correlation and Lines of Regression (Statistics for Psychologists)

Some gossips about mathematicians and a special case of correlation coefficient. We also look at what’s regression, how to apply.

Comparing Two Distributions – Correlation Coefficient (Statistics for Psychologists)

So far we were busy finding one value to describe a distribution, and finding how spread the values are! Now, let’s look at how to compare two distributions!

Measures of Dispersion – 2 (Statistics for Psychologists)

Standard Deviation If is the frequency distribution, then standard deviation, denoted by Greek letter σ (sigma) is given by where is the arithmetic mean of the distribution and ∑f =N . Mean Deviation Standard Deviation Uses absolute value to assure that final result is positive Squares to make all values positive, then takes positive square…

Measures of Dispersion – 1 (Statistics for Psychologists)

Central tendency tells us about a number that describes the data – but – not about how ‘spread’ the data is. Meet the tools to measure the spread of data!