Proofs Memes

Posts tagged with Proofs

The Epsilon Expansion Theory

The Epsilon Expansion Theory
The mathematical trauma is real. First week: "Let's prove two functions are close by showing their distance is less than epsilon." One month later: "Oh, you thought epsilon was small? That's cute. Now it's floating somewhere in the stratosphere while you desperately try to remember what a metric space even is." Watching your mathematical innocence die is the true definition of convergence.

Average Math Paper Footnote

Average Math Paper Footnote
Mathematicians: spending 40 pages proving something is divisible by 3, then casually throwing their colleagues under the bus in the footnotes. Conway's passive-aggressive footnote is the academic equivalent of saying "I'm being held hostage in this publication against my will." The real theorem here is proving that mathematical pettiness divided by professional courtesy equals zero.

They're Called Test Functions For A Reason

They're Called Test Functions For A Reason
Mathematicians having a MELTDOWN over physicists casually assuming functions are smooth! 😱 The bell curve perfectly represents the IQ distribution here - with the brilliant minds in the middle screaming "YOU CAN'T JUST ASSUME FUNCTIONS ARE SMOOTH!" while the folks at both extremes are blissfully ignoring all those pesky discontinuities and singularities. Meanwhile, engineers are in the corner just drawing straight lines through everything and calling it a day. Functions in the wild can be VICIOUS creatures with sharp edges and sudden drops - treat them with respect, people!

Base Case Is Overrated

Base Case Is Overrated
Recursion enthusiasts living dangerously on the edges of the bell curve! While the average mathematician (IQ 100) anxiously verifies the base case P(0), the mathematical rebels at both extremes skip straight to induction with ((∀k<n)P(k))⇒P(n). They're either brilliant enough to see that the base case is trivial or... not quite grasping why their proofs keep collapsing like a house of cards. Mathematical induction without a foundation is basically just vibing with symbols and hoping for the best. The professor's panic is entirely justified!

Stay With Me Now

Stay With Me Now
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.

Actual Mathematicians Be Like

Actual Mathematicians Be Like
The mathematical paradox of our species! Mathematicians will gleefully dive into abstract hypergeometric multidimensional gibberish with a smile, but ask them to do basic arithmetic without a calculator? PURE TERROR. It's like watching someone who can design a rocket ship panic when asked to count their change at the grocery store. The human brain - capable of conceptualizing non-Euclidean geometry but completely short-circuits when faced with "what's 27+34?" Mathematical wizards by day, panicked third-graders by night!

Math Majors Be Like

Math Majors Be Like
The eternal struggle of math majors! Even the most basic arithmetic statement like "1+1=2" requires rigorous proof and citation. While everyone else accepts this as obvious, mathematicians are screaming "SOURCE?" because they've been traumatized by professors demanding formal proofs for seemingly self-evident truths. Principia Mathematica literally took 362 pages to prove 1+1=2. The rage-face perfectly captures that moment when your non-math friends casually state mathematical "facts" without formal verification. Pure mathematical trauma in one image!

Logic Class: Where Letters And Numbers Go To Hide

Logic Class: Where Letters And Numbers Go To Hide
The existential crisis of symbolic logic class hits different. That moment when the screen is filled with Greek symbols, logical operators, and proofs that might as well be ancient hieroglyphics. The broken heart emoji says it all - there's a special kind of pain when you realize your brain has officially left the chat. Those phi and psi symbols are having a party your neurons weren't invited to. Mathematical logic: where perfectly reasonable humans transform into confused puppies trying to understand quantum physics.

The Math-Physics Relationship Status: It's Complicated

The Math-Physics Relationship Status: It's Complicated
The eternal rivalry between pure mathematicians and physicists captured in one perfect exchange! Math folks clutch their pearls at the mere thought of physicists saying "this term is negligible" or "let's assume this is approximately zero." Meanwhile, physics majors are out there dropping constants, rounding π to 3, and treating infinity like it's just a really big number without losing a wink of sleep. The horror! Pure mathematicians need 14 pages to prove something exists while physicists just wave their hands and say "obviously." The relationship status between these fields? It's complicated.

It Just Isn't (But Mathematically It Is)

It Just Isn't (But Mathematically It Is)
The eternal struggle of 0.999... vs 1. Patrick happily agrees there's an infinite list of numbers approaching 1, but immediately rejects that 0.999... equals 1. Classic mathematician's nightmare. The proof that 0.999... = 1 is mathematically sound, yet somehow feels wrong in our finite brains. Like trying to convince your calculator that dividing by zero isn't just being dramatic. Some mathematical truths simply refuse to be intuitive, no matter how many PhD students cry about it.

The Mathematician's Last Resort

The Mathematician's Last Resort
The mathematician's brain evolution! First we try contradiction - basic brain power. Then we level up to induction - some neurons firing. But when all else fails? "The proof is by magic" with full cosmic brain activation! 🧠✨ Every math student knows that feeling when you're stuck on a proof and suddenly write "clearly" or "it is trivial to show" to skip the hard parts. That's not math - that's wizardry! 🔮 The ultimate mathematical cop-out that professors somehow always catch!

Mathematical Dreams And Nightmares

Mathematical Dreams And Nightmares
Therapist: "Tell me about your dreams" Mathematician patient: *immediately launches into epsilon-delta proofs* Even in therapy, mathematicians can't escape their true passion—rigorous proofs! While most people would talk about flying or showing up naked to school, this poor soul's subconscious is permanently stuck in calculus class. The epsilon-delta definition is basically the mathematical equivalent of saying "we can get as close as you want, but I'll need some personal space." No wonder mathematicians need therapy!