Functions Memes

Posts tagged with Functions

Domain Matters For Continuity

Domain Matters For Continuity
The mathematical horror story no one asked for! Left side shows sine function, smooth and well-behaved like that student who always turns in homework early. Right side? That's tangent with its vertical asymptotes—basically math having an existential crisis every π radians. Both functions are technically "continuous" where they're defined, but tangent has these dramatic infinity vacations where it simply refuses to exist. It's the function equivalent of saying "Sorry, can't come to work today, busy approaching infinity." The faces perfectly capture the vibe—sine is living its best life with complete domain, while tangent is having war flashbacks from all those calculus problems where students forgot about its domain restrictions. Trust me, I've seen grown mathematicians cry when someone casually asks about the continuity of tan(π/2).

A Graph Of Graphs

A Graph Of Graphs
The perfect mathematical inception doesn't exi— oh wait. This diagram shows various mathematical functions (linear, quadratic, exponential, trigonometric) arranged as nodes in a network graph. It's literally a graph theory graph made of coordinate system graphs. The kind of recursive humor that makes mathematicians snort coffee through their noses during department meetings. Next-level nerd territory where the joke itself is structured like a mathematical proof of how far down the rabbit hole we can go with visual puns.

Function Composition: The Pineapple Pizza Proof

Function Composition: The Pineapple Pizza Proof
Mathematicians have been trying to explain function composition for centuries, but nothing drives the point home like pizza and pineapple. When f(x) = pizza and g(x) = pineapple, we get two completely different culinary crimes depending on the order of operations. f(g(x)) gives you Hawaiian pizza (tolerable), but g(f(x)) produces that abomination at the bottom - pizza-topped pineapple. And they say math has no practical applications.

When Functions Break Your Brain

When Functions Break Your Brain
Ever notice how mathematicians get increasingly dramatic about their weird functions? The Dirichlet function gets a casual "OK" because it's Lebesgue integrable but nowhere continuous—like finding out your date can't swim but makes amazing pasta. Then the Weierstrass function demands attention with its "HOL' UP" because it's continuous everywhere but refuses to be differentiable anywhere—basically the mathematical equivalent of someone who looks perfectly normal but has absolutely no chill. But the Fabius function? That smooth-talking infinitely differentiable yet nowhere analytic tease sends mathematicians into full psychedelic meltdown mode. It's like discovering your calculator has been secretly plotting world domination this whole time. These pathological functions are why math professors drink.

When You Think You're Smarter Than 19th Century Mathematicians

When You Think You're Smarter Than 19th Century Mathematicians
Someone's having a mathematical meltdown! The joke here is that the top function is actually the famous Weierstrass function—a mathematical monster that's continuous everywhere but differentiable nowhere . Yet our overconfident hero has "differentiated" it anyway in the second line, which is mathematically impossible. It's like claiming you've found a dry path through the ocean. Karl Weierstrass wasn't being "stupid"—he was blowing mathematicians' minds in 1872 by proving such pathological functions could exist. This meme perfectly captures that student who thinks they're smarter than centuries of mathematical giants right before reality crushes their soul during office hours.

The Mathematical Blasphemy Face

The Mathematical Blasphemy Face
That face when someone claims they've proven 0=1 through mathematical trickery! The horrified cat represents every mathematician's soul leaving their body upon seeing such mathematical blasphemy. In these "proofs," people typically sneak in a division by zero or some other illegal operation, then act like they've revolutionized mathematics. It's the mathematical equivalent of claiming you've invented a perpetual motion machine because you "forgot" about friction. Next thing you know, they'll be trying to divide by zero to prove cats can actually fly.

When Math Gets Dimension-ally Horrifying

When Math Gets Dimension-ally Horrifying
Mathematicians: "Let's define a simple function from R² to R³!" The function: *literally crawls out of your TV like a horror movie demon* This brilliant mashup combines the horror movie trope of a creepy girl crawling out of a TV (from "The Ring") with mathematical notation for a transformation from 2D to 3D space. It's what happens when your linear algebra homework starts breaking the laws of dimensional reality! Next time your professor says "consider this simple transformation," check behind the blackboard for paranormal activity!

I Am Studying Calculus And This Is Deep

I Am Studying Calculus And This Is Deep
Behold the epic saga of trigonometric derivatives portrayed through the rise and fall of civilization! The top shows a mighty empire (like the derivative chain rule itself) where -cos(x) creates sin(x). Then we witness the mathematical circle of life continuing through each era - functions deriving functions in an eternal mathematical dance! The gradual descent into chaos perfectly mirrors how students feel when they realize these functions keep transforming into each other for eternity. It's the mathematical version of "what goes around comes around" but with more homework and existential dread!

A Bit Mean? More Like A Bit Terrifying!

A Bit Mean? More Like A Bit Terrifying!
Revenge is a dish best served with parabolas! This student decided to transform their math homework into a horror show by drawing a terrifying creature next to the function graphs. The quadratic function f(x) = x(1-x) is getting the creepy treatment it never asked for. The creature even personally greets the teacher with "Hello Joel" - making this less about finding the correct graph and more about finding the courage to grade this paper. That's one way to make calculus truly frightening!

The Myth Of Consensual Isomorphism

The Myth Of Consensual Isomorphism
Ever been to that awkward mathematical party where functions are trying to hook up? This meme is pure math dating drama! We've got three mathematical entities in a relationship crisis. The first one proudly declares "I'm bijective" (meaning it maps every element in set X to exactly one element in set Y, with no leftovers on either side). The second one boasts "I'm uniformly continuous" (it behaves consistently without any sudden jumps). Meanwhile, the third function is just standing there like "I'M NOT!" - completely rejecting the whole isomorphism situation. The punchline "Isn't there somebody you forgot to ask?" is mathematical consent humor at its finest. Before declaring spaces isomorphic, you need ALL functions to agree on their properties - but nobody bothered asking that third function who's clearly not on board with this mathematical relationship! It's basically consent culture... but for mathematical structures. No means no, even in topology!

The Mathematical Horseshoe Theory

The Mathematical Horseshoe Theory
The mathematical holy war we didn't know we needed! This bell curve meme brilliantly captures how understanding of polynomials follows the intelligence distribution. The average folks (middle of the curve) are confidently wrong, insisting "a polynomial is NOT a function" with that panicked face. Meanwhile, both the left and right tails—representing either blissfully simple or galaxy-brain intelligence—correctly understand that polynomials are indeed functions. It's the perfect illustration of the Dunning-Kruger effect in math education. The beginners and experts agree, while those with just enough knowledge to be dangerous are busy making angry forum posts about definitions they misunderstood in Algebra II.

The Bell Curve Of Polynomial Understanding

The Bell Curve Of Polynomial Understanding
The bell curve of mathematical understanding strikes again! On the far left, we have the blissfully clueless folks asking "wtf is a polynomial" with their 55 IQ. In the middle peak at 100 IQ, we have the textbook warriors confidently stating "a polynomial is a function" (they memorized that from Chapter 1). Then on the far right, the 145 IQ galaxy brains declare "a polynomial is NOT a function" before the final enlightened sage corrects them with "erm... actually" – because technically, polynomials are expressions that can be used to define functions, but they aren't functions themselves. It's that beautiful moment when you've gone so deep into math that you circle back to sounding like you don't understand math. The duality of polynomial existence is keeping math professors employed worldwide!