Follow TV Tropes


Manga / Q.E.D.

Go To

Sou Touma is an MIT-graduated-student who comes back to Japan because he wants to know how it feels to be a high school student. On the other hand, Mizuhara Kana is a strong girl who loves sports. Together, they work to solve the cases that happen around them. The manga was adapted into a 10-episode live-action dorama in 2009.

Created by Motohirou Katou.

"We have supplied tropes for the following case in the manner which you asked us to:"

  • A.I. Is a Crapshoot: Subverted. The AI crashing Tokyo's traffic is only a simple life simulation program without any evil intentions.
  • Absent-Minded Professor: Deconstructed in one case. The case show you how bad the impact of Absent-Minded Professor can have toward people around him. It was so bad that to salvage the situation, Touma had to take the blame. See False Confession.
  • Action Girl: Kana. who with Nanase can thrash the whole squad of desert raiders empty-handedly.
    • And now they fight gun-toting diamond-smuggling mafia led by tyrants. In a church. And its rooftop. With only two wooden stick.
  • Agent Mulder: For parody purposes, there is one character of a recurring detective trio who has a habit of making deduction of linking everything to aliens or mystical/mythical things, thus people call him Mulder. To enforce said parody, he's said to have a book with "X" alphabet largely printed and attached on the front cover.
  • Alien Geometries: One case involves murder in a recreation of M. C. Escher Ascending and Descending.
  • Always Murder: Averted. There are great deal of cases like burglary, vandalism, thieving, fraud, even mistaken for two timer misunderstanding case.
  • Asshole Victim: A detective series is bound to have these, even though it's often subverted.
  • Attention Deficit... Ooh, Shiny!: Touma's little sister. Definitely not played for laughs.
  • Advertisement:
  • April Fools' Day: A case revolved on helping a small country from corrupt investors, an international April Fools' Day contest involving high-profile officials, and Touma's effort to relieve his Champion title from said contest.
  • Batman Gambit: Toma employs this at the climax of the first chapter. He bluffs the suspect by pouring liquid that he says could trace the culprit's name. The liquid is just water, but the suspect scrambles it out of fear, proving himself as the culprit. The bluff will falter if the suspect maintains his cool just a little bit longer, but as Toma says in the conclusion, only machines are completely controlled by logic.
  • Berserk Button: At least in the first books, insinuating that Sou is Kana's boyfriend can get you KO'ed by an iron fist.
  • Brains and Brawn: Touma and Kana.
  • Bookworm: Sou, to the point Yuu prefers to sleeps in a hotel rather than their family's apartment in Tokyo because she knows it's going to be full of his books. And his library and collection is actually big enough, he (or his family) has to rent a warehouse at the docks.
  • Catchphrase: End of Demonstration. It's the translation of Quod Erat Demonstrandum.
  • Child Prodigy:
    • Touma has a BS in Mathematics before the others even started high school. He's also quite famous at MIT, seen as one of two Aces of his year's batch with Loki.
    • A case involves an even younger child prodigy whose parents are about to divorce because they don't agree in how to educate the kid. She's the one who, at one time, invites couples on a brink of divorce along with her own parents so that they sort out their differences using Fermat's Last Theorem as theme.
  • Church of Happyology: During one of Touma's flashbacks, District Attorney Annie Craner was assigned to prosecute a widower who is accused of murdering her husband so she can inherit his fortune to continue paying for the self-help cult like group called "The Path to Arcadia", an organization she is a part of. As the trial continues, the group sends death threats to Annie, protest against her and accuse the prosecution of a Witch Hunt. Then one of the widow's friend, an old lady, shoots her when the case is about to be finished. She seemingly was killed. Well, not. It got stranger from there, with her father involved.
  • Circling Birdies: Played for laughs with Kana: when Touma is tutoring Kana for her mathematics test, she doesn't understand it to the point there's some festival dancer circling over her head. And Touma can see them too.
  • Cloudcuckoolander
    • The Touma Family is really out there. Sou in one instance do his thinking at the bottom of a swimming pool. Yuu can think of Town Musicians of Bremen just by looking at a shrine gate and ema. And their father is thrilled to see a thunderstorm.
  • Crossover: Twice with C.M.B.. Shinra is Touma's cousin, cementing the fact that the mangas are in one universe.
  • No Celebrities Were Harmed: Alan Blade, the richest man and the owner of the biggest software company? Are you sure you're not Bill Gates?
  • Cool Bike: Appears at least once as Kana's transportation method.
  • Disproportionate Retribution:
    • Quite a few of the crimes' motivations, even the more serious crimes, are a result of seemingly minor offences blown far out of proportion by the perpetrators.
    • Touma himself can be utterly merciless when people he cares about are hurt. An upperclassman's scheme to get a girl by engineering a conflict with her boyfriend - extremely petty considering Touma has faced actual murders - still had Touma coldly and ruthlessly humiliating said upperclassman at the end in front of the girl he was pining for and her boyfriend. All because his scheme had inadvertently hurt Kana's arm.
  • Eagleland: Discussed. At least Eva believes that "if they dropped bombs all over the world, the USA would be the enemy of every nation in the world."
    Researcher 1: Do you think America should bomb every conflict?
    Researcher 2: Of course! That's America's duty as the world police!
  • Everybody Hates Math: Or at least Kana, to the point of catatonia after hearing advanced math explanation. Kinda ironic that Sou got a Math Degree from MIT.
  • False Confession: In "Dedekind Cut", Touma did this so that Professor Hilbert would forget about John who supposedly stalks him. The reason he did it is because the professor has a persecution complex due to feeling inferior with John after Hilbert accidentally deleted John's papers which delays John from becoming an assistant. Due to that, Hilbert would makes a scene and assume that it was John who did it, creating a memory disorder and forget of him doing it. Before he confessed, Touma did try to tell him several times on why he refuse to go to court to accused John but Hilbert keeps forgetting, rejecting his answer. With no other choice and also partials to be blame for making him remember back note , he decides to 'confess' so that he would forget the whole incident with John. It works.
  • He Is Not My Boyfriend: But recent development has shown otherwise....
    • That is, until they played it straight again. Or it seems to be. Kana is made to believe that Touma believe this is the case, while actually he said that their relationship is whatever Kana said.
    • Happens more often in the live-action adaptation, with more characters actually outright asking if Touma is Kana's boyfriend.
  • Inspector Lestrade: Kana's father is a Police Inspector that occasionally get some help from Sou and his daughter.
  • It Runs in the Family: His sister is a linguist Cloudcuckoolander, his parents are renowned archaeologists. His teenage cousin is also the holder of the CMB Rings, and a curator in a museum.
  • Intelligence Equals Isolation: Loki was very lonely until Touma showed up. Similarly, Touma is bullied in his first year in uni because he is a Grade Skipper Teen Genius.
  • Improbable Age: Touma, the 14 years old MIT graduate.
  • Improbable Aiming Skills: Kana once threw a roof tile to a sniper located far away, and she deliberately missed only several centimeters away from the said sniper. Heck, the throw was only a distraction!
  • Instant A.I.: Just Add Water!: Averted, the cause of traffic crashes in Tokyo in Jacob's Ladders case is actually only a simple life-simulation program designed by Eva's team in MIT, looking for a large enough memory space as programmed.
    Loki: Poor guys, they only wanna live.
    Touma: No, they're only programmed that way. They are not alive.
  • Kendo Team Captain: Kana, despite being a girl, really counts.
  • Last-Name Basis: It causes some confusion in the Indonesian translation, where Yuu call his brother Touma, a.k.a. their family name.
  • Locked Room Mystery: Some of the cases available are this. Some of the solutions are usually simple. One locked room murder example is in "Black Nightshade" chapter.
  • Masculine Girl, Feminine Boy: The Action Girl Kana with calmer, academic Sou.
  • Mind Screw: In Chapter 38 where the bosses of Shanghai mafia kill each other. According to the witness, the last boss killed is murdered by the first boss killed. The truth is, Toma's friend, Hu Jia Hui, has feigned the death of the first boss in order to incite a Cycle of Revenge that destroys the mafia. Then who kills Hu in the end?
  • Mistaken for Murderer: Second case. Which is completely Played for Laughs since every person involved thought that their loved ones was the one who kill the Jerkass debitor, and as result, involved in Zany Scheme to protect the "suspect", while in reality, it was completely an accident.Spoiler 
  • Never My Fault:
    • During "In the Corner of the Galaxy", despite being proven that it's the professor who stole the alien picture, the professor still believes that he didn't do anything wrong based on the Jonbar Hinge theory. Cue Mizuhara Kana slapping his face for trying to cover it for his own benefit and accused for being the thief.
    • In "Red File", after the killer was captured, Director Uchiwa does this since he nearly lead his investment company into bankruptcy due to him selecting the riskiest program from one of Touma's friend, Chris Flyer. Unfortunately, Kana snaps him out of it since he should admit his own mistakes as he had a choice to choose a safer option.
    • In "Venus", after the killer was arrested, it was revealed that his motive was due to witnessing the victim's misdeeds online and decide to kill him out of heroic justice (ala Social Justice Warrior). He even goes as far as to frame innocent suspects just because they are friends with the victim. However he was corrected by the police upon their investigations that the suspects have their own personal issues and the victim himself has financial issues, which also cause some haters to fake his misdeeds online. Unfortunately, the killer refuse to accept it; he argues that it has nothing to do with him, even going as far as to demand the police to apologize and release him. It is unknown if the victim's misdeeds are true but the killer deluded himself that he has nothing to do with it when the innocent suspects has not harm him at all or even know him.
  • No "Arc" in "Archery": Averted. Touma solved a case where a man is shot with an arrow using a bow in the end of a low corridor, and one of the facts he quickly notes is that the shot is almost impossible to do.
  • Non-Action Guy: Touma, so much. But that doesn't mean he's a complete wimp, though.
  • No Social Skills: As a result, Touma often incidentally angers other people, but that's because he just doesn't know any better. Kana helps him get over it, though.
  • Not-So-Fake Prop Weapon: This happens in one case where a male lead in a movie was accidentally stabbed by an actress during filming with a lot of press covering the scene. Investigation then said that the knife used to stab the male lead could only be switched in public. It's not unintentional on the actress' behalf. She switched the knife herself using her daughter who starred in the same film as distraction.
  • Omnidisciplinary Scientist: If there's a science-thingy need explaining, be it history, advanced mathematics, or even quantum physics, Touma will be there to explain it. And Loki will be there to dumb it down.
  • Onsen Episode: Subverted in the fact that it while the lands had an onsen, there was a murder and they went there to translate documents. They never got a chance to get into the onsen itself.
  • Parental Abandonment: Downplayed. The Touma siblings doesn't seems to be very close with their parents. But they understand their parent's motivation and independent enough to be living by themselves.
  • Renaissance Man: Touma is one. Let's see... BS in Mathematics from MIT before enrolling in a Japanese High School, knowledgeable in (at least) Computer Science, Physics, Biology (including Botany), History, Geography, International Law; fluent in at least English, Japanese, German, Spain; hold some patents too...
  • Title Drop: Always shown before Touma's deduction in one way or another, usually related to the case itself (as a command prompt in a case related to computers, and cards in a case related to games). Also, since the full original title is Q.E.D. - Shoumei Shuuryou and Touma's habit of ending his explanation using "Shoumei Shuuryou" (translated into "End of demonstration") can be considered act of one.
  • Ship Tease: Happens once in a while with Touma and Kana in the manga. In fact, the manga has this going until "The Rainbow Mirror" case and beyond, after which the tease is non-subtly phased out for clear affection from both sides (and still able to make it platonic).
    • The live action series is even more blatant, with a love song playing over the pair as the ending theme. The penultimate episode even ends with Kana taking an imaginary picture of Touma and holding it to her heart, and the finale is a Maybe Ever After that all but outright states they're a couple now.
    • There's also some between Alan Blade and Ellie. Despite his often spoiled and rude characteristics, he seems to hold her and her loyalty in special regard and confidence. There's also hints that despite Ellie's exasperation with him sometimes, she sticks with him out of more than just being a loyal secretary. Confirmed in chapter 43 where Alan proposes and she gladly accepts.
  • Shown Their Work
  • Shut Up, Hannibal!: Sou delivers one in the "John Doe Serial".
    Sou: I never wants to be a god. I only want to be a human.
  • They Fight Crime!: Though mostly by Kana's insistence.
  • The Un-Reveal: The culprit's name in the "John Doe Serial" case is never revealed. It's in line with the theme of the case, though.
  • Viewers Are Geniuses: This is probably why it took so long to get scanlated, since many of the terms are just too... advanced for someone who didn't take university or understand the subject matter.
    • For example, he can have a casual conversation on Quantum Mechanics. You know, the thing Stephen Hawking was working on.
  • The Watson: Kana plays this role, but rare for the genre, Kana is shown to be able to pretty easily follow Touma's train of thought and often helps solve the case just as much as Touma does.
    • Even then, that's because Touma takes time to explain things to Kana (he figured out she will be more helpful if she gets what she was doing) and even then, sometimes if the explanation involved advanced science (like mathematic, for example)... yeah.
  • The Wonka: Alan Blade from Alansoft is a very... problematic man to say the least. He's also the CEO of Alansoft, whose OS penetrated 90% of the world's computer.
    Alan (while fishing in his own swimming pool): Ellie, do you know about my worries? First, it's these tax deductions. Second, the quality of our recent employee has goes down. Third, I am getting boring of my hobby of Trout Fishing!

End of Demonstration.


How well does it match the trope?

Example of:


Media sources: