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…
Tag: Mathematics
Analysis/Topology: Connected Sets in Metric Spaces
A short discussion on Connected Sets in Metric Spaces with definition, examples, counterexamples, properties and quizzes.
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…
Puzzle: Finding a Bounded Continuous Function
Find a continuous, real-valued with its range contained in (0, 1).
Video 7: Coefficient of Correlation (Statistics for Psychologists)
Comparing two distributions: Pearson Correlation Coefficient
Video 5, 6: Measures of Dispersion (Statistics for Psychologists)
Discussing various Absolute/Relative measures of dispersion
Video 2, 3, 4: Measures of Central Tendency (Statistics for Psychologists)
A detailed discussion on different central tendencies.
Calculation of Measures of Dispersion, Skewness and Kurtosis with JASP
Using Open Source Software JASP to measure dispersion, symmetry and curve of the distribution.
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!
