Bae's Theorem

The eternal struggle of calculus students everywhere! The teacher elegantly writes the derivative notation as d/dx(x) , while the student frantically attempts to recreate it with the mathematical grace of a caffeinated squirrel. That chaotic fraction with crossed-out terms is basically the mathematical equivalent of a ransom note. Technically wrong? Sure. But does it get the job done through sheer mathematical violence? Also yes. In 30 years of teaching, I've seen students turn elegant calculus into hieroglyphics that somehow still produce the right answer. It's like watching someone solve a Rubik's cube by disassembling it and gluing it back together—horrifying yet effective.

The mathematical innocence versus the geometrical horror! When a math enthusiast meets someone who skipped the whole "triangle inequality theorem" day in school and just eyeballs shapes instead. For those who forgot: not every set of 3 lines can form a triangle - the sum of the lengths of any two sides must be greater than the length of the third side. But this guy? He's got a "soundproof basement" full of "triangles" that probably violate every mathematical principle known to humanity. The real horror isn't the basement - it's the mathematical crimes being committed down there!

The entire global economy rests on a mathematical quirk! That giant dam labeled "Bad Actors" is preventing catastrophic flooding—and the only thing holding it together is the difficulty of factoring large numbers into primes. This is literally how modern encryption works! Your bank account, crypto wallets, and national security secrets are all protected by the simple fact that multiplying two huge prime numbers is easy, but working backward to figure out which primes were multiplied is computationally nightmarish. If someone cracks this mathematical problem (looking at you, quantum computers), our digital fortress crumbles faster than my motivation during grant application season.

Oh my integers! This is mathematical warfare at its finest! The top image shows construction workers creating a perfect, structured foundation (labeled "David Hilbert") while below we see a cat walking through wet cement leaving chaotic footprints (labeled "Kurt Gödel"). It's the perfect visual metaphor for how Gödel's incompleteness theorems completely wrecked Hilbert's dream of creating a complete, consistent mathematical system! Hilbert was all "let's build a perfect mathematical foundation" and then Gödel strolled in like that smug cat saying "actually, any sufficiently complex mathematical system will always contain unprovable truths." Mathematical mic drop of the century! The cat's expression is basically saying "I just mathematically proved you can't prove everything. Deal with it."

This textbook is basically saying "when your number is so massive it's stopped caring about small-time additions." Avogadro's number (10 23 ) is so ridiculously huge that adding 23 to it is like throwing a grain of sand into the Grand Canyon and expecting the tour guide to update the brochure. And then there's the "very large numbers" that are so astronomically gigantic they don't even notice when you multiply them by mere billions upon billions. It's the numerical equivalent of a celebrity too famous to acknowledge your existence. These numbers have transcended mathematical anxiety - they're just out there living their best life, completely unbothered by our operations. The footnote about "keeping track of leftover factors" is the textbook equivalent of a nervous laugh after making a dad joke at a faculty meeting.

The Google logo masquerading as the Greek letter Sigma (Σ) is what happens when big tech tries to slide into your mathematical notation. It's the perfect symbol for summation—adding up all your data for their algorithms. Next time you use Σ in statistics, remember Google's already calculated the sum of your search history. The original "collecting data points" before it was trendy!