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I use this blog to post some interesting facts and experiences from my forays into science. They may include anything ranging from  interesting results of my homemade experiments or important (or unimportant) discoveries made in interesting ways.
Currently, I'm building www.tanagram.ai/ - check it out!

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Optimal server estimate with Markov chains

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I was learning about Markov chains while reading about Hidden Markov Models (HMMs), they are used in understanding and decoding the meaning behind speech. Working on system design and architecture concepts, I saw an analogy of this concept, for using them for finding an optimal number of servers for your micro-service. This post has been long overdue though, since July 16 to be precise, the day ' Amazon Prime-Day ' took place this year ; the post is inspired by that busy day for servers, where multiple customer requests hop from one server to another, sporadically sky-rocketing the read/write load on the them. For lucidity and ease of understanding, consider that there are only 5 categories and data for each category is in a separate server, and each server can serve \(100k\) customers. The most important problem for Amazon is optimizing the number of servers for each category. Let's say that through deep-learning algorithms and yada-yada we can predict the total numbe...
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The noise inside your head

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Have you ever felt that your head was full and you couldn't think more? To my surprise, that was not just a metaphor, it was quite literally true! For an ever-growing, learning brain, and to keep in-taking information, there is a big price humans have to pay! Not delving into the biology of our brain, I'll try explaining things in a computer scientist friendly way; every-time our brain intakes new information/data, we make stronger synapses (connections) between nerve cells. The strength of these synapses determines how easily we can retrieve information from our brain, and consequently, some synapses become stronger/larger when we repeatedly intake the same information (thus when we want to memorize something, we find revision helpful for later retrieval.) In a single waking day, synapses continuously strengthen/enlarge as we absorb all kinds of experiences, but this process can't happen indefinitely as synapses reach a saturation point - hence 'our head becomes...
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Probability of success: False uniqueness bias

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It's very ideal to see that the path we choose, be it for success or anything else we try to achieve is unique, our own to follow. An extreme example I see is when a person models their own idea/business on someone else's yet have a false uniqueness bias . It made me wonder to what extent such a thing can be actually be true. This blog post is a naive mathematical approach I have adopted to dispel the fact that even our ways to success are in fact not as unique as we may feel they may be,such that at-least one other person apart from us is following it; thus, trying to prove the false uniqueness bias. Assuming the maximum number of unique path-ways to be successful is equal to the number of people in the world ,~7 billion (1 way to success for each person): \(\mu=7,000,000,000\) Let's take another assumption, that the path chosen is uniformly distributed across the \(\mu\) number of ways. Let \(success_i\) be the path of success the \(i^{th}\) person chooses,...
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