A collection of links to learn more about John H. Conway, who passed away recently.
A cartoon to help learn the definition of Lebesgue Outer Measure.
Also discusses the power of visualization in memorization and Mind Maps, Mind Palace techniques in short.
Here’s a video discussing a few simple examples of metric spaces.
Here’s a video discussing the definition of metric spaces, and the inspiration behind it. Rarely
A detailed discussion of #Definition of #Sets, including #examples, #counterexamples, #quizzes. Useful for #GRE #CSIR #JRF #NET #GATE #Mathematics Aspirants
It is well known fact that every cyclic group is abelian. But the converse is not true always. i.e. There exists groups that are abelian but not cyclic. Uncountable abelian groups The groups such as and are abelian groups. Since any infinite cyclic group is isomorphic to and hence is countable, the above mentioned groups…
Examples and Counterexamples: Real Line with Discrete Metric/Topology. Did you try the challenges at the end? Leave your thoughts in the comments below!
A simple question to check if you have understood the definition of metric spaces: how well do you know this definition?
Examples and Counterexamples of Abelian Groups
Here are some important definitions, facts and examples of cyclic groups.