Mathematics

(Temporary being stopped) Note III of the measure theory series. Materials are mostly taken from Tao’s book, except for some needed notations extracted from Stein’s book. ...

Note II of the measure theory series. Materials are mostly taken from Tao’s book, except for some needed notations extracted from Stein’s book. ...

Note I of the measure theory series. Materials are mostly taken from Tao’s book, except for some needed notations extracted from Stein’s book. ...

Notes on Gaussian distribution & Gaussian network models. ...

Recall that in the previous note, Infinite Series of Constants, we mentioned a type of series called power series a lot. In the content of this note, we will be diving deeper into details of its. ...

Notes on infinite series of constants. ...

In the previous note about Markov Decision Processes, Bellman equations, we mentioned that there exists a policy $\pi_*$ that is better than or equal to all other policies. In this note, we will be proving that. ...