Which One Of You Did This?

Nothing screams "I have a PhD" quite like writing 1/√n instead of just n. It's the mathematical equivalent of wearing a tuxedo to buy milk. Sure, both expressions represent natural numbers when n is a perfect square, but one makes you look like you're trying to impress the tenure committee. The unnecessary complexity is the academic version of a peacock's feather display – completely impractical but absolutely essential for intellectual mating rituals.

Number 2 asking other even numbers if they can be prime together is mathematical rejection at its finest. Poor 2 doesn't realize it's the only even prime number in existence. Every other even number is divisible by 2, making them composite by definition. That firm "No" from 2 is basically saying, "Sorry buddy, I'm exclusive. It's not you, it's your divisibility properties."

The eternal battle between mathematical precision and physics practicality on full display! On one side, we have mathematicians having an existential crisis over calculus. The chill mathematician says "Just multiply by dx..." while the purist is literally crying because "derivatives aren't fractions!" (Spoiler: they technically aren't, but don't tell engineers that.) Meanwhile, physicists are over here casually agreeing that cows are perfect spheres. Because why complicate your equations with pesky reality when you can just assume everything is a perfect sphere in a vacuum? Problem solved! Nobel Prize, please! Next week: biologists debate whether mice and elephants have identical metabolic rates if you squint hard enough.

The slide on the left represents the simple brute force approach to calculus - just plug in some big numbers and see what happens. The right slide? That's where mathematicians go to die, buried under pages of epsilon-delta proofs that basically say "this number gets really close to that number" in the most painful way possible. Meanwhile, finding the actual limit is the boring middle path that your professor insists is "elegant." Spoiler alert: after four years of advanced math, you'll still sometimes just use the calculator method when nobody's looking.

The mathematical equivalent of "you had ONE job!" A factory worker discovers they're making the number 10 in both decimal and binary, completely missing the point that they're actually the same value represented differently. The worker's confusion about "base 10 in the base 10 factory" is peak mathematical irony—every number system is "base 10" in its own system! It's like being shocked that every country calls their own language "the normal way of speaking." This is what happens when you skip discrete math to attend that keg party.

Just another day in the calculus department where someone's trying to integrate musical notation. The expression is a beautiful mashup of math and music symbols - a treble clef with limits, musical notes as variables, and even an exponential with a quarter note. Whoever wrote this is either a mathematical genius or had too much caffeine during their music theory final. Either way, they're definitely not getting partial credit for creativity.