Unveiling Probability’s Hidden Treasure — We all have imagined ourselves in our favourite game shows. We have acted out how we would have behaved or what we would have chosen in a situation in our heads. …

Calculating the change of healthy natural vegetation in a definite area after Australia's bushfires with Landsat-8 images — Abstract — Since European settlement, Australia is going through massive deforestation, endangering its wildlife and opening new doors for a climate crisis. Around 16% of Australia is covered by forests but that too is rapidly decreasing because of deforestation. From June 2019 to May 2020, massive bushfires destroyed a large…

Lothar Collatz, two years after receiving his doctorate, introduced the idea of a conjecture in 1937. Mathematicians still couldn’t solve it. — “Mathematics is not yet ripe enough for such questions” That’s what mathematician Paul Erdos said about the simple conjecture we are going to talk about. But first, let’s start from the beginning. Guess a positive number. Any positive number. Now follow these two simple rules to apply to that number.

Infinity means something without an end. But, is there something bigger than infinity? — My 2-year-old cousin is so adorable, whenever I pay a visit to my aunt, I almost never wanna leave him and come back home. The little guy plays and sleeps all day long, watches stupid Cocomelon videos on YouTube, and runs around the house. His mom is trying hard to…

Follow these three simple steps to be a valuable partner in a new venture. — Maybe it’s your dream to start something of your own. And you finally got the courage to do that, or to at least give it a try. Or maybe your friend pitched you a great idea that you are interested in. You jump in it immediately. But now comes the…

The BSD conjecture, first proposed in the early 1960s, is a major unsolved problem in number theory. —

“a moody, manic-depressive teenager who has been trapped, against its will, inside a second-rate search engine.” — AI or Artificial Intelligence has been a hot topic for quite some time now. The introduction of programs such as Midjourney, which can generate images on the basis of textual input, or the likes of ChatGPT, which can hold meaningful and human-like conversations has propelled the discussion about AI and…

Is the future bright with AI or just a dystopia with chaos? — “The main computer CDC appears on the panel. CDC appears on the screen with the face of a very old man. ... . A mysterious smile at the corner of his lips. Everything is false. False face, false smile, false glasses. CDC has no face. No shape.” ~ Humayun Ahmed…

Let’s talk about the continuum hypothesis, cardinality, Zorn’s lemma and many more. — Hilbert’s first problem, posed by mathematician David Hilbert in 1900, asks whether the continuum hypothesis is true. Well, that last sentence gave almost no context whatsoever, I know. The continuum hypothesis says that there is no set whose cardinality is strictly between that of natural numbers (integers) and that of…