The tale of two irrational numbers.

Mathematics in Criminal Justice

“There’s a dead body inside the hotel room!!! I’m really scared… Please arrive on time.” The police did arrive, but not quite on time. By the time they arrived, people had already gathered outside Hotel Chandani with a stressed look on their faces. The police entered the room and saw a man stained with blood on his head, and on his back — they immediately declared him dead seeing no signs of life whatsoever. “Definitely not a gunshot” - a police officer insisted as if he was a hundred percent sure. Immediately after, another police officer reached the dead body and measured his temperature while the other officers looked around if the murderer left some clue. The police stayed in the hotel for another hour and a half: some closely inspecting the crime scene, some talking to the owner (who found it difficult to even utter a word), and some asking the gathered mass to return to their places. Before leaving the hotel, the same officer who to...

Why is any number over 0 undefined or what we say infinity?

Why is any number over 0 undefined or what we say infinity? We are used to dividing a certain number by another or by the same number since we started learning mathematics. That’s not a big deal. But here’s one big deal that we are always warned about i.e., to divide any number by zero (0). But Why? Because you get infinity when you do so. But how and why we tend to get so when we divide any number by zero? Let’s have a look at it to better understand!!! ▪ Firstly, what’s multiplication? Nothing but repeated addition. Example: 2×3=6 which means we need to add 2 thrice to get 6. ▪ And secondly , what’s division? Nothing but repeated subtraction unless we get zero. Example: 15/5=3 which means subtracting 5 thrice from 15 to get 0. i.e, 15-5-5-5=0 But let’s check in case of 1/0. Accordin...

Prime Numbers

Prime Numbers What is the first thing that comes to your mind when someone says prime number? A number that is divisible by nothing except 1 and itself. Well, that is the definition of prime numbers but is there something in primes beyond the indivisibility. It turns out the answer is yes. Any natural number from the number line can be represented as the product of the primes. It seems so obvious but it implies that all the other numbers are just the result of primes or prime are the original numbers and all others are just the copy of prime. Due to this reason I like to think of prime as the building block of the number line, they are like the atoms of our body. One might ask if primes are so important what has been done to understand the primes and do we actually know all properties of primes? No, we don’t but there are some formulas to approximate the number of primes upto a certain number N. One of such formula, which is also the first such formula, to approximate the pr...

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