Manga: Q.E.D.

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.

Created by Motohirou Katou.

Shows example of:

  • 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.
  • Action Girl: Kana.
  • 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.
  • 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.
  • Brains and Brawn: Touma and Kana.
  • Bunny-Ears Lawyer: 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 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!
  • Catch Phrase: 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.
  • 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.
    Touma: Are you okay? There's someone dancing Yosakoi over your head for some times now.
  • 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 canon.
  • 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?
  • 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
  • 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.
  • Kendo Team Captain: Kana, despite being a girl, really counts.
  • Masculine Girl, Feminine Boy
  • 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 Jerk Ass debitor, and as result, involved in Zany Scheme to protect the "suspect", while in reality, it was completely an accident.Spoiler 
  • 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.
  • Omnidisciplinary Scientist: If there's a science-thingy need explaining, 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, History, Geography; fluent in at least English, Japanese, German, Spain; hold some patents too...
  • The Plan: Employed by Touma and the villains alike.
  • 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)
  • Shown Their Work
  • They Fight Crime: Though mostly by Kana's insistence.
  • 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.
    • For example, he can have a casual conversation on Quantum Mechanics. You know, the thing Stephen Hawking is working on.
  • The Watson: Kana plays this role, but rare for the genre, Kana is shown to be able to pretty easily follow Toumas 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.

End of Demonstration.