Proof By Ignoring

The mathematical evolution no one asked for but everyone needed. First panel: innocent Calc 1 student being introduced to the chain rule with the basic formula. Middle panel: the rigorous proof that makes students question their life choices. Final panel: the chad Applied Analysis enjoyer who's transcended formalities and just writes it as a ratio of differentials without breaking a sweat. Nothing says "I've suffered enough" like skipping all the epsilon-delta nonsense and getting straight to the point. The chain rule—traumatizing undergrads since calculus was invented.

The ultimate physics flex that backfires! Those two elegant lines are indeed Maxwell's equations in tensor notation - the mathematical foundation of electromagnetism that unified electricity, magnetism, and light into a single framework. The top equation describes how electric charges generate electromagnetic fields, while the bottom one captures the absence of magnetic monopoles. But here's the punchline - being able to write something doesn't mean you understand it! It's like memorizing Shakespeare in a language you don't speak. This is peak physics student syndrome: reciting beautiful mathematical poetry without grasping what the symbols are actually telling us about reality.

The academic job market in a single slide! This multiple choice question hits way too close to home for anyone with an advanced degree. The punchline? While PhDs in Mathematical Biology and Statistics can apparently feed families (alongside pepperoni pizza), Theoretical Mathematics is deemed the odd one out because it can't put food on the table! The brutal reality of academic salaries has never been more deliciously roasted. And that professor's gesture? That's the universal "I'm laughing but I'm also crying inside" academic hand signal that every grad student learns by osmosis.

The paradoxical statement "Not being chosen is being chosen" is actually backed by mathematical proof! The binomial coefficient equation at the bottom (n choose k) = (n choose n-k) shows that selecting k items from a set is mathematically identical to NOT selecting n-k items. So whether you're picking who's on the team or who's sitting out, you're making the exact same mathematical choice. Next time your research proposal gets rejected, just remember - you were mathematically selected for non-selection! It's not a rejection, it's an alternative acceptance!

The mathematical blasphemy is UNBEARABLE! Engineers gleefully declaring π = e = 3 is like watching someone microwave a fine steak. Pure mathematical terrorism! 🤓 For the uninitiated, π is approximately 3.14159..., e is about 2.71828..., and neither will EVER equal 3 except in the fever dreams of engineers seeking "close enough" approximations to make their calculations easier. Meanwhile, mathematicians everywhere are having tiny heart attacks. The teacher's exasperation is the collective sigh of academia. "The n-th time" is particularly brilliant—even the complaint is expressed as a mathematical variable!

Starting with the Pythagorean theorem and somehow deriving relativistic mass equations is the physics equivalent of saying "trust me, I know a shortcut" before leading someone through a dark alley and three different dimensions. That blue character's expression perfectly captures the moment when your professor skips seventeen steps and says "obviously, it follows that..." No brain required—just the audacity to connect completely unrelated equations and slap a QED on it.