A simple math identity about one
Created on August 16, 2023
Written by Some author
Read time: 1 minutes
Summary: In this blog post, we will dive into how we can prove multiply b and c divided by product of a minus b and a minus c plus ... is equal to one.
Introduction to Terraform to Host a Static Webpage
Created on August 13, 2023
Written by Some author
Read time: 4 minutes
Summary: In this blog post, we will dive into how we can set up terraform for static website deployment.
Proofs of Two Inequalities Involving Positive Integers and Non-negative Numbers
Created on August 09, 2023
Written by Some author
Read time: 2 minutes
Summary: Proof of (a+b+c)/3 is greater than or equal to ((a^2+b^2+c^2)/3)^(1/5) and Schur's inequality
Mixed Poisson Distribution With An Inverse Gaussian
Created on August 06, 2023
Written by Some author
Read time: 3 minutes
Summary: The content provided is a mathematical derivation showing that a mixed Poisson distribution with an inverse Gaussian mixing distribution is equivalent to a Poisson-ETNB distribution.
Introduction to different moments of distributions (Planned)
Created on July 30, 2023
Last modified on August 05, 2023
Written by Some author
Read time: 7 minutes
Summary: We will get into how to get different moments of different distributions and possible skewness and kurtosis of different distributions. We will also discuss the relationship between different moments and the moment generating function.
P-adic number computation
Created on August 04, 2023
Written by Some author
Read time: 2 minutes
Summary: The given algorithm is a recursive implementation of the p-adic expansion.
Inequality Around sum of the cubics and AM-GM variance
Created on August 02, 2023
Written by Some author
Read time: 2 minutes
Summary: The given text consists of two parts. The first part contains two examples along with their proofs concerning inequalities. In the first example, it is proved that if 'a_i' are real numbers such that the sum of their squares, the summation of (a_i^2), is less than or equal to 4, then the sum of their cubes, the summation of (a_i^3), will be less than or equal to 8. The proof involves utilizing the AM-GM inequality to demonstrate that the sum of the cubes is bounded by 8. In the second example, an inequality is proved for non-negative numbers 'a', 'b', and 'c': a^3 + b^3 + c^3 - 3abc is greater than or equal to 2((b+c)/2 - a)^3.