Definitions Bounded set: Let <M,ρ> be a metric space. We say that the subset A of M is bounded if there exists a positive number L such that ρ(x,y)≤L (x,y∈A) (Wikipedia) Diameter of a set: If A is bounded, we define diameter of A (denoted by diam A) as diam A= ρ(x,y). If A is not…
A short discussion on Connected Sets in Metric Spaces with definition, examples, counterexamples, properties and quizzes.
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…
Find a continuous, real-valued with its range contained in (0, 1).
Comparing two distributions: Pearson Correlation Coefficient
Discussing various Absolute/Relative measures of dispersion
A detailed discussion on different central tendencies.
Using Open Source Software JASP to measure dispersion, symmetry and curve of the distribution.
Some gossips about mathematicians and a special case of correlation coefficient. We also look at what’s regression, how to apply.
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!