History Manga / QED

[[ActionGirl Kana Mizuhara]] is an OrdinaryHighSchoolStudent who is at an arcade one night with a friend when she comes to the rescue of a fellow classmate. The classmate, she comes to learn, is Sou Touma: a [[IvyLeagueForEveryone MIT-graduate]] TeenGenius who came to Japan to attend high school like a normal student. Of course [[NoSocialSkills his lack of social skills]] and his [[OmnidisciplinaryScientist encyclopedia knowledge on a variety of advance subjects]] [[{{Cloudcuckoolander}} make him]] ''[[{{Cloudcuckoolander}} far]]'' [[{{Cloudcuckoolander}}from normal]].

In need of a character page and [[NeedsWikiMagicLove some Wiki Love Magic]].

* ShipperOnTheDeck: [[spoiler:Annie]] was glad that Sou was finally more open to other people, [[spoiler:she]] went as far as supporting him to be with Kana and saying that [[spoiler:she]] "would not be so mean" to appear in Sou's life again and risking Sou's "relationship" with Kana.

* ShipperOnADeck: [[spoiler:Annie]] was glad that Sou was finally more open to other people, [[spoiler:she]] went as far as supporting him to be with Kana and saying that [[spoiler:she]] "would not be so mean" to appear in Sou's life again and risking Sou's "relationship" with Kana.

* GoodIsNotNice: In one case, Sou Touma mercilessly humiliates the culprit in front of his friends for accidentally hurting Kana's arm in his roundabout trick, erasing any chance of redemption for the said culprit.

* IncorruptiblePurePureness: Sou Touma.

** Touma had enough motive (and brain capability) to kill everyone who had made Annie Craner[[note]]who is implied to be his first love[[/note]] suffered in the past, but he did not do it because he simply is not a murderer, as acknowledged by [[TrueCompanion his friends]].

* AbsentMindedProfessor: Deconstructed in one case. [[spoiler: The case show you how bad the impact of AbsentMindedProfessor can have toward people around him. It was so bad that to salvage the situation, [[ZeroApprovalGambit Touma had to take the blame.]] See FalseConfession.]]

* AttentionDeficitOohShiny: Touma's little sister, Yuu, has tendencies to be distracted by things surrounding her. However, it's [[AwfulTruth Definitely]] ''[[MyGodWhatHaveIDone not]]'' [[DeconstructedTrope played for laughs]] during her introductory chapter. She unknowingly let her family dog outside to go to the bathroom but forgot to take it back inside which ended up with the dog getting run over. Sou who already knew this decided to not tell her anything, causing a bit of an estrange in their relationship.
* AprilFoolsDay: A case revolved on helping a small country from corrupt investors, an international AprilFoolsDay contest involving high-profile officials, and [[spoiler: Touma's effort to relieve his Champion title from said contest.]]

* BrainsAndBrawn: Touma and Kana.

* TheChessmaster: "Dog Bowl" is a story of how Touma demonstrate this ability of his to help a bunch of elderies in shogi community catch a serial con artist.

** 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 [[TheAce Aces]] of his year's batch with Loki.

** Another example which serves as a twist. [[spoiler:there's a case in ''iff'' which involves a betting website under server attack by a notorious underworld hacker called "Crash." Crash however upped the ante by attempting to take the company net security specialist's life because white hat named "wizard" breached Crash's IP address. It turns out the wizard's current identity is a little girl named Chloe who got the handle name from Touma.]]
* ChurchOfHappyology: 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. [[spoiler:Then one of the widow's friend, an old lady, shoots her when the case is about to be finished. She seemingly was killed. [[FakingTheDead Well, not.]] It got stranger from there, [[KnightTemplarParent with her father involved.]]]]
* CirclingBirdies: Played for laughs with [[EverybodyHatesMathematics 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? [[LeaningOnTheFourthWall There's someone dancing Yosakoi over your head for some times now]].

* CommonTongue: Due to his past education at MIT, Touma gets to know a lot of friends and acquaintances from different parts of the world. However, they seem to know how to speak Japanese. While it's debatable whether it's a case of this or TranslationConvention, Kana being BookDumb is an argument agains the favor of the latter.

* {{Crossover}}: Twice with Manga/{{CMB}}. Shinra is Touma's cousin, cementing the fact that the mangas are in one universe.

** 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 who is also said upperclassman's friend - 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 [[ShipTease inadvertently hurt Kana's arm.]]
*** Touma had a good yet overconfident talent manager stripped off of the latest talent he was managing and then eventually fired from the industry using said manager's own personality because he talked down to Kana twice during a contract negotiation.

* FalseConfession: 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 [[spoiler: 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]]Since Touma gives Hilbert the answer 'Dedekind Cut' when Touma witness Hilbert's actions years ago.[[/note]], he decides to 'confess' so that he would forget the whole incident with John. It works.]]

** That is, until they played it straight again. [[spoiler: [[ZigZaggedTrope 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.
* HollywoodToneDeaf: Singing is not Touma's forte at all. His singing ability is so bad people are stunned how anyone could be that horrible in singing.

* IntelligenceEqualsIsolation: Loki was very lonely until Touma showed up. Similarly, Touma is [[AllTheOtherReindeer bullied]] in his first year in uni because he is a GradeSkipper TeenGenius.
* ImprobableAge: Touma, the 14 years old MIT graduate.

-->'''Touma''': [[spoiler: No, they're only programmed that way. [[JustAMachine They are not alive.]]]]

** 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 safer options.

* NoArcInArchery: 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.
* NonActionGuy: Touma, so much. [[spoiler:But that doesn't mean he's a complete wimp, though.]]
* NoSocialSkills: As a result, Touma [[NotGoodWithPeople often incidentally angers other people]], but that's because he just doesn't know any better. [[spoiler:Kana helps him get over it, though.]]

* OmnidisciplinaryScientist: If there's a [[BuffySpeak 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.

* ParentalAbandonment: 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.
* PlatonicLifePartners: This seems to be the default for Kana and Touma's relationship, with Kana saying that their relationship doesn't have a name yet.
* RenaissanceMan: Touma is one. Let's see... BS in Mathematics from ''MIT'' before [[TeenGenius 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...
* TitleDrop: [[OnceAnEpisode Always shown]] before Touma's deduction in one way or another, usually related to the case itself ([[http://bato.to/read/_/25519/qed-shoumei-shuuryou_v4_ch8.3_by_orionwave/16 as a command prompt]] in a case related to computers, and [[http://bato.to/read/_/25547/qed-shoumei-shuuryou_v9_ch17.2_by_orionwave/30 cards]] in a case related to games). Also, since the full original title is ''Q.E.D. - Shoumei Shuuryou'' and Touma's habit of [[CatchPhrase ending his explanation using "Shoumei Shuuryou"]] (translated into "End of demonstration") can be considered act of one.
* ShipTease: 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 MaybeEverAfter that all but outright states they're a couple now.

** For example, he can have a ''casual'' conversation on Quantum Mechanics. You know, the thing Creator/StephenHawking was working on.

* TheWatson: 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)... [[EverybodyHatesMathematics yeah.]]

* AttentionDeficitOohShiny: Touma's little sister. [[AwfulTruth Definitely]] ''[[MyGodWhatHaveIDone not]]'' [[TearJerker played]] [[DeconstructedTrope for laughs.]]

wi--> ''"Quod Erat Demonstrandum" ''[[note]]''"What was to be shown"''[[/note]]

Realizing that Sou has notice something about the murder, Kana forces him to help to find information and clues to the killer's identity. In doing so the two form a genuine friendship and the series follows them as they repeatedly [[TheyFightCrime stumble into crimes or are ask to investigate mysteries.]]

''Q.E.D. Shōmei Shūryō'', usual shortened to Q.E.D., is a {{manga}} series written by Motohiro Katou and first began serialization in July 1997 and still going strong to this day initially published in ''Magazine Plus''. Following the publication's cancellation, the series is now featured in ''Magazine R'' under the title ''Q.E.D. iff''.[[note]] Fun fact: it was litteraly the 99th chapter before the magazine cancellation, technically making the first of the new series the [[MilestoneCelebration 100th chapter]].[[/note]]

** 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 who is also said upperclassman's friend - 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 [[ShipTease inadvertently hurt Kana's arm.]]

--> ''"Quod Erat Demonstrandum" ''[[note]]''"What was to be shown"''[[/note]]

** 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.

-->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. [[ArsonMurderAndJaywalking Third, I am getting boring of my hobby of Trout Fishing!]]

** {{YMMV}}. In Japan, English is a second language taught in high school and Kana's BookDumb qualitites usually show when its something far above her current academic level as a teenager. Its possible that everyone is simply speaking English without it being ackknowledged or brought up.

[[ActionGirl Kana Mizuhara]] is an OrdinaryHighSchoolStudent who is at an arcade one night with a friend comes to the rescue of a fellow classmate. The classmate, she comes to learn, is Sou Touma: a [[IvyLeagueForEveryone MIT-graduate]] TeenGenius who came to Japan to attend high school like a normal student. Of course [[NoSocialSkills his lack of social skills]] and his [[OmnidisciplinaryScientist encyclopedia knowledge on a variety of advance subjects]] [[{{Cloudcuckoolander}} make him]] ''[[{{Cloudcuckoolander}} far]]'' [[{{Cloudcuckoolander}}from normal]].

[[ActionGirl Kana Mizuhara]] is your OrdinaryHighSchoolStudent who one night while at an arcade with a friend comes to the rescue of a fellow classmate. The classmate, she comes to learn, is Sou Touma: a [[IvyLeagueForEveryone MIT-graduate]] TeenGenius who came to Japan to attend high school like a normal student. Of course [[NoSocialSkills his lack of social skills]] and his [[OmnidisciplinaryScientist encyclopedia knowledge on a variety of advance subjects]] [[{{Cloudcuckoolander}} make him]] ''[[{{Cloudcuckoolander}} far]]'' [[{{Cloudcuckoolander}}from normal]].

* ShownTheirWork

* KidDetective: Sou is a bit of Literature/SherlockHolmes-esqe type with an expansive knowledge on a variety of subjects that having to do with detective work combining it with simple deductive reasoning. Though the way he and Kana stumble upon cases kind of makes him more like [[Series/MurderSheWrote Jessica Fletcher]].

* {{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.

* {{Crossover}}: Twice with Manga/{{CMB}}. Shinra is Touma's cousin, cementing the fact that the mangas are in one universe.

** {{YMMV}}. In Japan, English is a second language taught in high school and Kana's BookDumb qualitites usually show when its something far above her current academic level as a teenager. Further