Study Paper Note

I put all the blame on my procrastination! It has been so long since I wanted to know what is Kalman filter and how to use it, but all the fun I had with my games hinders me to do so. To cut it short, I did some browsing on the net and found that Kalman filter is actually based on Bayesian inference, which is a statistical method. Knowing that, I was both happy and sad. I was happy because now I know one of the uses of statistics which I learned years ago when I was sitting in undergraduate school. The sad thing is I already forgot them all! So, in this post I will share what I learned about statistics, from square one. I hope you will get something from it. In most of the statistics books I glance through, they always have probability as one of the topics. So I will start with learning what it actually is. Let $x$ be the set of the possible outcomes, and $F$ is a collection of subsets of $x$. A probability on $(x, F)$ is $\mu : F\rightarrow [0, 1]$. In other words, to every set in...

In this post I will talk about the limit definition of a definite integral. A crude definition of definite integral of a function is the area inside a function from from point $a$ to $b$. Suppose that we have a graph below. Definite Integral The area on shade is the definite integral of $f$ from $a$ to $b$. Since we will have difficulties on calculating the area of irregular geometry, it will be much easier if we divide the area into smaller parts with $n$ partitions (we call each partition as $x$) randomly. That way, we can approximate the area using the sum of rectangles. The smaller the parts the better approximation we can get. That way, we will have graph below. Irregular Partitions Point $a$ will have the same value as $x_{0}$ and point $b$ will have the same value as $x_{n}$. Note that the length of each partition is varying. I didn't even bother to use a scale drawing that! The length between each $x$ is called as subinterval, and it will be represented by a...

Hello, the posts in this blog basically are my study notes on electronics engineering ranging from basic circuits, filters, machine vision, algorithms, AI, etc. Please bear with me and my English, as I am in the middle of learning on how to do a good writing and how to write a proper English article. Hopefully you all will gain something from this blog.