Awesomeness by Analysis in Western Animation.
- In the Action Man (2000) computer animated series, Mann's brain runs a ridiculously complicated mathematical equation that sums up the world and calculates it in such a way that he can predict the future in ways beyond just physics. It turns into Cursed with Awesome when his ability turns him into the MacGuffin.
- The Amazing World of Gumball:
- Right at the beginning of the episode "The Allergy", there's an Adrenaline Time sequence of analysis performed by Gumball during a pillow fight with his siblings, played out as an homage to the Sherlock Holmes movies featuring Robert Downey Jr. Gumball predicts Darwin's moves and devises how to counter them, but he fails to account for Anais who suddenly attacks from behind and grounds him, rendering the whole analysis pointless. Their mother, Nicole, then quickly charges to their room to tell them to go to school, but when the school bus stops at their house, she realizes they're running late and performs an analysis of herself as to how to throw the kids out the window to make the bus, only for the boys to simply run straight to the bus normally and to lose her a chance to do a quip—which is done better by her daughter Anais: "You just got schooled".
- In the episode "The Parking", Anais pulls another one, this time more detective-y and with descriptive hi-tech graphics and all.
- Arcane: As befitting the future Sheriff of Piltover, Caitlyn could effectively investigate a crime scene even as a rookie Enforcer, finding various pieces of evidence and visualizing Jinx's rampage on the airship, as well as locating one of Silco's goons who had been left behind.
- Avatar: The Last Airbender:
- Sokka defeats Combustion Man using trigonometry and a Precision-Guided Boomerang.
- Iroh figuring out how to redirect lightning with Waterbending principles applied to Firebending.
- In The Batman, D.A.V.E. figures out Batman's secret identity through this. He simply narrows down Gotham's population using publicly-available information to find the one young male with the resources, fitness, and motivation to be Batman.
- Ben's transformation Brainstorm, in Ben 10: Omniverse has this same ability as part of his super intelligence, being able to defeat the Vengers with minimal effort using everything around them when fighting in an alley, even a bitten apple.
- Batman: The Brave and the Bold: The alien scientist Rothul (who, as the name indicates, is an Expy of Lex Luthor) is able to figure out how Batman got superpowers and how to neutralize them simply by sitting down, thinking, and working out his likely planet of origin based on chemical composition.
- Gadget had more than a few of these moments during Chip 'n Dale: Rescue Rangers, leading to an episode wherein she learned the valuable lesson to stop thinking so much.
- Danny Phantom, was able to learn most of his powers/techniques almost instantly just by watching someone else use it (i.e. Ghost shield); some other though, required some practice to master, like duplication or simply simply appear when needed. It doesn't limit to powers only, he was also able to learn the body language of Samson, the purple back gorilla, by just looking at her in the zoo by one night.
- The Dragon Prince: This is Callum’s forte. Despite having no magical training or education, he is able to learn new spells simply by seeing them performed once. His ability at observation also extends to more mundane activities; he’s able to perform a dancing ritual perfectly despite only seeing it one time.
- Ed, Edd n Eddy:
- Despite being by far the most feeble of the trio, Edd can often perform amazing feats with just a few calculations and some Bamboo Technology.
- Ed, of all people, falls into this in The Movie when he defeats Eddy's Brother. Seeing that when he's trying to pull Eddy, who is desperately clinging onto a door, back to his position, the door is being pulled too, Ed simply unhinges one of the bolts on the door so it'll break off; Ed essentially turns the unwilling Eddy into a one-man slingshot, having the broken-off door slam Eddy's Brother in the head and knock him out.
- Rex Salazar from Generator Rex, was able to complicated trigonometry calculations as easy as breathing; he explained to Noah when he scored an A on his first math pop quiz that it was like aiming his cannon. Of course, coming from a family of scientists is no surprise to see Rex is this intelligent, also able to take all the other high school courses with ease.
- On Jimmy Two-Shoes, Heloise manages to ace skeet shooting thanks to this. After Beezy becomes smart, he repeats this process on a much grander scale.
- Justice League:
- The nanotechnological android based on the comic character Amazo takes this ability to its logical extreme—being able to analyze things on the molecular level while being able to at the same time alter its own structure at the molecular level. In short, you are so screwed. So screwed, in fact, that even a nanotech solution doesn't defeat him. Nor does anything else, and in the end the only way to deal with him is to talk him into a Heel–Face Turn. He's so powerful he had to eventually be Put on a Bus.
- Justice League also subverts the trope in the person of The Question. A brilliant reinvention of the older DC hero, Vic Sage is genuinely strange. While sane, he honestly connects things that are completely unrelated, tending to sound like a total conspiracy nut. However, his actual reasoning works rather well when he tracks down actual connections, to the point he is reluctantly given credit for it by the rest of the League. Yes, by Batman as well.
- Kaeloo: When Stumpy is granted intelligence by a spirit, he manages to analyze everything around him and predict the future.
- Looney Tunes:
- Egghead Jr., a character that Foghorn Leghorn would occasionally be saddled with. A mute chicken lad with a spherical head, beady eyes, and huge glasses, he would quickly jot down some very technical-looking mumbo-jumbo and succeed at whatever he was attempting at the time... like throwing a 90 MPH fastball or winning a game of croquet with one swing. When playing hide and seek, Foghorn took a circuitous route and ended up in a dumpster, claiming "He'll have to use a slide rule to find me". Cut to Egghead using a slide rule. Humorously subverted in that he then turns around and digs a small hole, pulling Foghorn out of it. Foghorn is understandably confused and goes back to the dumpster, but decides against opening it. "I just MIGHT be in there!"
- This was developed into the ability to calculate Gambit Roulettes to his own advantage when the character appeared in Duck Dodgers.
- Miraculous Ladybug:
- While Marinette/Ladybug's Lucky Charm power is able to create whatever she needs to solve the current crisis, it's usually something improbable, forcing her to quickly formulate a solution using the object and her surroundings (which the show portrays by highlighting what she intends to use in red with black spots, like her suit). Ladybug's analysis skills don't come from her Miraculous, either — on at least two occasions, she's used them after losing her powers (once due to a fear-induced Power Nullifier, and once in her civilian form while under Laser-Guided Amnesia), showing that Marinette's just that good.
- Pegasus, aka Max Kanté, has a similar sequence when determining what surfaces to bounce his horseshoe boomerang off of, highlighting them green with a horseshoe pattern. Given that Max is a bona fide Teen Genius who's Good with Numbers, calculating trajectories on the fly is likely also a skill of his own rather than a Miraculous ability.
- The Owl House: Glyph magic is confirmed to lend itself to this once Luz starts taking students in the second season, with the resident Teacher's Pet's careful examination of their properties/interactions from first principles getting better results faster with less incidental property damage than her rival's method of "Slap them together and see what happens."
- The Powerpuff Girls (1998): One of Him's riddles to the girls (episode "Him Diddle Riddle") is to pick which of two Ms. Keanes who are suspended over a vat of boiling acid is the real one. Blossom asks which of them would say was the real one, and each giving a different answer. Blossom instantly deduces through analysis which is real Ms. Keane (the one who said "She would say she was the real Ms. Keane," but Blossom actually chose the other. She was so confident and convincing that Him gave it to her anyway.)
- Razzberry Jazzberry Jam: This is pretty much Cyd’s whole deal- given a bit of time to think, she can solve almost any problem, from saving Louis from being carried away by a kite (It Makes Sense in Context… sorta) to figuring out how to make the workaholic bandleader finally take a rest. However, the “bit of time to think” part is important, meaning she isn’t very good at acting and reacting quickly.
- Kinda obvious with Sherlock Holmes in the 22nd Century. Interestingly it happens to Sherlock himself, when Wiggins of the Irregulars easily deduces that Holmes is a Fish out of Temporal Water simply by paying attention to his choice of language and dress.
- The Teenage Mutant Ninja Turtles (2003) incarnation of Master Splinter was not originally Hamato Yoshi the ninjitsu master as most incarnations are, but was Hamato Yoshi's pet rat, who learned ninjitsu just by watching his owner. For a regular, unmutated rat, that's pretty impressive.
- The Robot Foot Soldiers, or simply the Foot-Bots, from the Teenage Mutant Ninja Turtles (2012) also come with function. More specifically, they're programmed with all known traditional Martial Arts/Ninjutsu techniques, meaning they can defeat any ninja, and even better, they're programmed to learn how to read and predict their opponents movements as they fight them, so they eventually learn how to predict the turtles' unique not-so-ninja-like fighting styles after a single fight, and these go from Mikey's crazy unpredictable dance movements, Donnie's highly calculated attacks using their surroundings to bounce shurikens and Raph's so NOT ninja-like aggressive techniques that involve throwing his sai. In other words, the Confusion Fu card only works once on them. Of course, this brings up the question, how can they defeat in all following chapters? Well, given who they are, is it really a surprise they can beat the foot-bots even when they can predict their attacks?
- Tom of Tom and Jerry occasionally tries to out-analyse Jerry's antics, except that either interference from Jerry, or just plain old malignancy and Sod's Law, causes it to turn on him.
