Calculus Used Derivative - It's Super Effective!

The most elegant mathematical joke you'll see today. That right triangle with sides labeled "i", "1", and "0" is essentially Euler's identity (e iπ + 1 = 0) disguised as the Pythagorean theorem. In spacetime diagrams of special relativity, we use similar mathematical tricks with imaginary numbers to represent time coordinates. Whoever created this managed to unite complex numbers, geometry, and relativity in a single triangle that technically shouldn't exist. The math department probably has this framed somewhere between their "√-1 2³ ∑ π" joke and their collection of physicist tears.

The mathematical evolution of the cow is complete! From summation (Σ) with its low-poly triangulated cow, to integration (∫) with its smooth rendered bovine, to finally the vector field (∇ϕ) showing fluid dynamics around our colorful friend. This is what happens when mathematicians get bored on the farm. The next step? Probably a cow existing in 11 dimensions that only string theorists can visualize. Your calculus professor definitely didn't mention this was the end goal of all those problem sets.

The math villain we never knew we needed! The left side shows the 6th derivative of e^(-x²), which is the mathematical formula for a normal distribution (that beautiful bell curve statisticians worship). But instead of getting the familiar smooth bell shape, the right graph shows a chaotic, spiky nightmare with vertical asymptotes—basically what happens when you differentiate the heck out of a normal curve. It's like someone took statistics' most beloved function and said "I'm going to mathematically vandalize this." The normal distribution is fundamental to probability theory and shows up everywhere from IQ scores to measurement errors. Taking its 6th derivative is essentially mathematical violence—turning order into chaos through pure calculus.

Mathematicians live in their beautiful world of abstract concepts until someone dares ask "but what's this used for in real life?" Then comes the existential crisis vomit. They've spent hours deriving elegant proofs about n-dimensional manifolds only to struggle explaining why anyone should care. "Well, um, you could... calculate the optimal... something?" Pure mathematicians would rather prove the existence of 11 dimensions than provide one practical example that normal humans understand.

Scientists are the original users of cis/trans terminology, and we're not giving up our nomenclature without a fight. In chemistry, it's all about those fatty acid configurations—cis fats like avocados and olive oil vs. trans fats trying to clog your arteries. Meanwhile, biology's over here with cis/trans gene regulation and cellular membranes. And then mathematics swoops in with complex functions and geometric transformations because apparently everyone wanted a piece of this positional relationship action. The scientific community was into position-based identity labels before it was cool.

Behold mathematical induction in its natural TikTok habitat! Someone searches "how many people are on earth 2025" and unleashes a perfect chain reaction of commenters accidentally proving P(n) → P(n+1). Each person rules out their number because they see n+1 people in the thread, creating an infinite logical loop that would make Peano and his axioms proud. The beauty of recursive proof structures discovered by people who probably think induction is just something you do to a stovetop. Pure mathematical poetry happening in the wild!