2+ week, 4+ day ago   (459+ words) Have you ever tried to visualize 5 dimensions? Usually, you get shown a tesseract'a 4-dimensional hypercube spinning inside another cube. It's mathematically accurate, but visually? It often looks like a tangled mess of wireframes. And once you try to go to…...

3+ week, 3+ day ago   (700+ words) This article details the implementation of non-linear classification models from a foundational standpoint. It is based on technical coursework from the PyTorch for Deep Learning Bootcamp. A common misconception is that deeper networks(two or more hidden layers) automatically solve…...

1+ mon, 4+ day ago   (942+ words) I have always been fascinated by elementary algorithms that create complex patterns. There is something fundamentally intriguing about such algorithms. One such algorithm is the Perfect Shuffle. Let's explore its unusual properties and create some striking fractals using this algorithm....

1+ mon, 2+ week ago   (812+ words) Neural Networks: Cracking the Geometric Code to AI Tired of treating neural networks like black boxes? Ever wonder what elegant mathematical principles might actually govern their seemingly magical ability to learn? Let's ditch the opacity and dive into the fascinating…...

1+ mon, 2+ week ago   (717+ words) Unlocking AI's Universal Secrets: Do Neural Networks Think in Fractals? Imagine training an AI to recognize cats. It excels with close-up photos, but fails miserably when shown a distant, pixelated feline. This exposes a fundamental challenge: how can we build…...

1+ mon, 2+ week ago   (1718+ words) Complex systems often appear chaotic or incomprehensible, yet closer examination reveals that such complexity can frequently be reduced to a simple underlying mechanism. By systematically removing layers of emergent behavior, one can uncover a fundamental rule or equation from which…...

1+ mon, 4+ week ago   (709+ words) So, this article is going to be the first of a 5 part series where I break down each video of the playlist, my iteration of trying to break it down simply as John Chapman did for me. Just a heads…...

2+ mon, 1+ week ago   (56+ words) [frank_vega_987689489099bf] Experimental Results on Goldbach's Conjecture Frank Vega " Nov 8 #python #programming #science #learning Templates let you quickly answer FAQs or store snippets for re-use. Are you sure you want to hide this comment? It will become hidden in your post, but…...

2+ mon, 3+ week ago   (428+ words) What I loved about this was its purity, input a radius, get an area. No fuss, no complexity. Yet, it's a gateway to appreciating how Python's built-in tools, like math.pi, make mathematical programming accessible. It also sparked curiosity about…...

5+ mon, 1+ week ago   (183+ words) So you're given this weird case: You know the top-left corner (x, y) of a rotated rectangle, along with its width w, height h, and rotation angle rotation. The question is: how do you find the center of that rotated rectangle?...