The Riemann Zeta function is an extremely important function in mathematics and physics. It is intimately related to very deep results surrounding the prime numbers. Now why would we want to care about prime numbers? Well, the entire concept of web security is built around prime numbers. Most of the algorithms for banking security, cryptography, networking, … Continue reading Dissecting The Riemann Zeta Function
Tag: Random
Random Number Generators In Programming
If you have fiddled around enough with C/C++/Objective-C, you must have noticed that if you use rand() function on its own, it gives the exact same numbers every time. Now how is that possible? Isn't rand() function supposed to generated completely random numbers in a given range? The reason for this has something to do … Continue reading Random Number Generators In Programming
Derandomization Of RANSAC
Let's say you are a clothes designer and you want to design a pair of jeans. Since you are new to all this, you go out and collect a bunch of measurements from people to see how to design your jeans as far as sizing is concerned. One aspect of this project would be to … Continue reading Derandomization Of RANSAC
Reimann Hypothesis And Its Connection To Cryptography
Over the centuries, mathematicians have been involved in solving some of most complex problems. But what is the motivation behind that? The pursuit of truth! But The Clay Mathematics Institute thought that there should be a little more than that. So to celebrate mathematics in the new millennium, they established seven Millennium Prize Problems. The … Continue reading Reimann Hypothesis And Its Connection To Cryptography
The Butterfly Effect
This blog post is a continuation of my previous post on Chaos Theory. Although it is not required for you to read that post to understand this post, it would be better if you glance through it once. All of us have heard about the Butterfly Effect. It is one of the very famous examples … Continue reading The Butterfly Effect
Chaos Theory
Chaos Theory is a mathematical sub-discipline that attempts to explain the fact that complex and unpredictable results can and will occur in systems that are sensitive to their initial conditions. Some common examples of systems that chaos theory helped understand are earth's weather system, the behavior of water boiling on a stove, migratory patterns of … Continue reading Chaos Theory
Probabilistic Randomness Of Stochasticity
Do you see what I did with the title there? Anyway, you must have heard the term 'probability' being used around you. People use it in different contexts and in different forms - "What is the probability that Spain will win the next world cup?" or "I will probably finish reading the book by midnight" … Continue reading Probabilistic Randomness Of Stochasticity
Perpetual Enigma 