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* 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.



** 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 [[ShipTease inadvertently hurt Kana's arm.]]

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** 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.]]
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* 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.
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* 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.
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* BrandX: In "Calamity Man's Wedding", Alan imagined that "Alan & Ellie Foundation", their wedding gift, would be the talk of every news outlet with an image of "Taimu" magazine and "World Times" nwespaper as background, no doubt a parody of Magazine/TimeMagazine and China's "Global Times".
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* 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.]]]]

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* 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.]]



* FalseConfession: In "Dedekind Cut", Touma did this so that Professor Hilbert would forget about John who supposely stalks him. The reason he did it is because [[spoiler: the professor has persecution complex due to feeling inferior with John after he accidentally deleted John's papers which delays John from becoming an assistant. Due to that, the professor would makes a scene and assume that it was John who did it, creating a memory disorder and forget his own doing. Before he confessed, Touma did try to tell him several times on why he refuse to go to court to accussed John but the professor keeps forgetting, rejecting his answer. With no other choice and also partialy to be blame for making him remember based on his 'dedekind cut' words, he decides to 'confess' so that he would forget the whole incident with John. It works.]]

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* FalseConfession: In "Dedekind Cut", Touma did this so that Professor Hilbert would forget about John who supposely supposedly stalks him. The reason he did it is because [[spoiler: the professor has a persecution complex due to feeling inferior with John after he Hilbert accidentally deleted John's papers which delays John from becoming an assistant. Due to that, the professor Hilbert would makes a scene and assume that it was John who did it, creating a memory disorder and forget his own doing. of him doing it. Before he confessed, Touma did try to tell him several times on why he refuse to go to court to accussed accused John but the professor Hilbert keeps forgetting, rejecting his answer. With no other choice and also partialy partials to be blame for making him remember based on his 'dedekind cut' words, 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.]]
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** 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.

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* FalseConfession: In "Dedekind Cut", Touma did this so that Professor Hilbert would forget about John who supposely stalks him. The reason he did it is because [[spoiler: the professor has persecution complex due to feeling inferior with John after he accidentally deleted John's papers which delays John from becoming an assistant. Due to that, the professor would makes a scene and assume that it was John who did it, creating a memory disorder and forget his own doing. Before he confessed, Touma did try to tell him several times on why he refuse to go to court to accussed John but the professor keeps forgetting, rejecting his answer. With no other choice and also partialy to be blame for making him remember based on his 'dedekind cut' words, he decides to 'confess' so that he would forget the whole incident with John. It works.]]



* NeverMyFault: During "In the Corner of the Galaxy", [[spoiler: 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 [[https://en.wikipedia.org/wiki/Jonbar_hinge Jonbar Hinge]] theory. Cue Mizuhara Kana slapping his face for trying to cover it for his own benefit and accused for being the thief.]]

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* NeverMyFault: NeverMyFault:
**
During "In the Corner of the Galaxy", [[spoiler: 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 [[https://en.wikipedia.org/wiki/Jonbar_hinge 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 "Venus", [[spoiler: 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 [[ImplausibleDeniability refuse to accept it; he argues that it has nothing to do with him]], even going as far as to [[TooDumbToLive 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.
]]
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** For example, he can have a ''casual'' conversation on Quantum Mechanics. You know, the thing Creator/StephenHawking is working on.

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


* ActionGirl: Kana. who with [[Manga/{{CMB}} Nanase]] [[BackToBackBadasses can thrash the whole squad of desert raiders]] ''[[CrowningMomentOfAwesome empty-handedly.]]''
** And now they fight gun-toting diamond-smuggling mafia led by tyrants. In a church. And its rooftop. ''[[CrowningMomentOfAwesome With only two wooden stick]]''.

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* ActionGirl: Kana. who with [[Manga/{{CMB}} Nanase]] [[BackToBackBadasses can thrash the whole squad of desert raiders]] ''[[CrowningMomentOfAwesome empty-handedly.]]''
''empty-handedly.''
** And now they fight gun-toting diamond-smuggling mafia led by tyrants. In a church. And its rooftop. ''[[CrowningMomentOfAwesome With ''With only two wooden stick]]''.stick''.
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** 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 humiliated 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.]]

to:

** 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 humiliated 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.]]
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** Touma himself can be utterly merciless when people he cares about are hurt. An upperclassman's scheme to get are girl by engineering a conflict with her boyfriend - extremely peety considering Touma has faced actual murders - still had Touma coldly and ruthlessly humiliated 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.]]

to:

** Touma himself can be utterly merciless when people he cares about are hurt. An upperclassman's scheme to get are a girl by engineering a conflict with her boyfriend - extremely peety petty considering Touma has faced actual murders - still had Touma coldly and ruthlessly humiliated 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.]]
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** Touma himself can be utterly merciless when people he care about are hurt. An upperclassman's scheme to get are girl by engineering a conflict with her boyfriend - extremely peety considering Touma has faced actual murders - still had Touma coldly and ruthlessly humiliated 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.]]

to:

** Touma himself can be utterly merciless when people he care cares about are hurt. An upperclassman's scheme to get are girl by engineering a conflict with her boyfriend - extremely peety considering Touma has faced actual murders - still had Touma coldly and ruthlessly humiliated 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.]]
Is there an issue? Send a MessageReason:
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** Touma himself can be utterly merciless when people he care about are hurt. An upperclassman's scheme to get are girl by engineering a conflict with her boyfriend - extremely peety considering Touma has faced actual murders - still had Touma coldly and ruthlessly shame 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.]]

to:

** Touma himself can be utterly merciless when people he care about are hurt. An upperclassman's scheme to get are girl by engineering a conflict with her boyfriend - extremely peety considering Touma has faced actual murders - still had Touma coldly and ruthlessly shame humiliated 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.]]
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* DisproportionateRetribution:
** 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 care about are hurt. An upperclassman's scheme to get are girl by engineering a conflict with her boyfriend - extremely peety considering Touma has faced actual murders - still had Touma coldly and ruthlessly shame 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.]]
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** For example, he can have a ''casual'' conversation on Quantum Mechanics. You know, the thing UsefulNotes/StephenHawking is working on.

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** For example, he can have a ''casual'' conversation on Quantum Mechanics. You know, the thing UsefulNotes/StephenHawking Creator/StephenHawking is working on.
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* NotSoFakePropWeapon: 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. [[spoiler:It's not unintentional on the actress' behalf. She switched the knife herself using her daughter who starred in the same film as distraction.]]
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** There's also some between Alan Blade and Ellie. Despite his sometimes 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 without out of more than just being a loyal secretary. Confirmed in chapter 43 where Alan proposes and she gladly accepts.

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** There's also some between Alan Blade and Ellie. Despite his sometimes 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 without with him out of more than just being a loyal secretary. Confirmed in chapter 43 where Alan proposes and she gladly accepts.
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** There's also some between Alan Blade and Ellie. Despite his sometimes 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 without out of more than just being a loyal secretary. Confirmed in chapter 43 where Alan proposes and she gladly accepts.
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* NeverMyFault: During "In the Corner of the Galaxy", [[spoiler: 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 [[https://en.wikipedia.org/wiki/Jonbar_hinge Jonbar Hinge]] theory. Cue Mizuhara Kana slapping his face for trying to cover it for his own benefit and accused for being the thief.]]

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--> Touma: Are you okay? [[LeaningOnFourthWall There's someone dancing Yosakoi over your head for some times now]].

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--> Touma: Are you okay? [[LeaningOnFourthWall [[LeaningOnTheFourthWall There's someone dancing Yosakoi over your head for some times now]].



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

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



* CoolBike: Appears at least one as Kana's transportation method.

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* CoolBike: Appears at least one once as Kana's transportation method.



* FermatsLastTheorem: Used in a case involving 3 couples who visits the same divorce lawyer. With help of UnsuspectingPawns of Sou, Loki, and Kana.



* LockedRoomMystery: Some of the cases available are this. Some of the solutions are usually simple. One locked room murder example is in "Black Nightshade" chapter.



* 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)

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* 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)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.



* ViewersAreGeniuses: This is probably why it took so long to get [[ScanLation scanlated]], since many of the terms are just too... ''advanced'' for someone who didn't take university.

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* ViewersAreGeniuses: This is probably why it took so long to get [[ScanLation scanlated]], since many of the terms are just too... ''advanced'' for someone who didn't take university.university or understand the subject matter.

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* AgentMulder: 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, [[Series/TheXFiles he's said to have a book with "X" alphabet largely printed and attached on the front cover]].



** 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.

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** 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. [[spoiler: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 ''UsefulNotes/FermatsLastTheorem as theme''.]]



--> Touma: Are you okay? There's someone dancing Yosakoi over your head for some times now.

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--> Touma: Are you okay? [[LeaningOnFourthWall There's someone dancing Yosakoi over your head for some times now.now]].

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-->Loki: Poor guys, they only wanna live.
-->Touma: No, they're only programmed that way. They are not alive.



* FermatsLastTheorem: Used in a case involving 3 couples who visits the same divorce lawyer. With help of UnsuspectingPawns of Sou, Loki, and Kana.



* InspectorLestrade: Kana's father is a Police Inspector that occasionally get some help from Sou and his daughter.



* InstantAIJustAddWater: Averted, the cause of traffic crashes in Tokyo in ''Jacob's Ladders'' case is actually [[spoiler: 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''': [[spoiler: No, they're only programmed that way. [[JustAMachine They are not alive.]]]]



* FermatsLastTheorem: Used in a case involving 3 couples who visits the same divorce lawyer. With help of UnsuspectingPawns of Sou, Loki, and Kana.

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* LastNameBasis: It causes some confusion in the Indonesian translation, where Yuu call his brother Touma, a.k.a. their family name.



* 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, History, Geography; fluent in at least English, Japanese, German, Spain; hold some patents too...

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* 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, Biology (including Botany), History, Geography; Geography, International Law; fluent in at least English, Japanese, German, Spain; hold some patents too...



* ShutUpHannibal: Sou delivers one in the "John Doe Serial".
--> Sou: [[spoiler: I never wants to be a god. I only want to be a human.]]



* TheUnreveal: [[spoiler: The culprit's name in the "John Doe Serial" case is never revealed]]. It's in line with the theme of the case, though.



* TheWatson: 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.

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* TheWatson: Kana plays this role, but rare for the genre, Kana is shown to be able to pretty easily follow Toumas Touma's train of thought and often helps solve the case just as much as Touma does.

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!! Shows example of:

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



** And now they fight gun-toting diamond-smuggling mafia led by tyrants. In a church. And its rooftop. ''[[CrowningMomentOfAwesome with only two wooden stick]]''.

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** And now they fight gun-toting diamond-smuggling mafia led by tyrants. In a church. And its rooftop. ''[[CrowningMomentOfAwesome with With only two wooden stick]]''.



* BunnyEarsLawyer: 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. [[ArsonMurderAndJaywalking Third, I am getting boring of my hobby of Trout Fishing!]]

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* BunnyEarsLawyer: Alan Blade from Alansoft is a very... problematic man {{Bookworm}}: Sou, to say the least. He's also the CEO of Alansoft, whose OS penetrated 90% of the world's computer.
-->Alan (while fishing
point Yuu prefers to sleeps in his own pool): Ellie, do you know about my worries? First, a hotel rather than their family's apartment in Tokyo because she knows it's these tax deductions. Second, 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 quality of our recent employee has goes down. [[ArsonMurderAndJaywalking Third, I am getting boring of my hobby of Trout Fishing!]]docks.



* ChildProdigy: Touma has a BS in Mathematics ''before'' the others even started high school.

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* ChildProdigy: ChildProdigy:
**
Touma has a BS in Mathematics ''before'' the others even started high school.school. He's also quite famous at MIT, seen as one of two [[TheAce Aces]] of his year's batch with Loki.



* MasculineGirlFeminineBoy

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* MasculineGirlFeminineBoyMasculineGirlFeminineBoy: The ActionGirl Kana with calmer, [[RenaissanceMan academic]] Sou.



* OmnidisciplinaryScientist: If there's a [[BuffySpeak science-thingy]] need explaining, Touma will be there to explain it. And Loki will be there to dumb it down.

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* 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.



* ThePlan: Employed by Touma and the villains alike.

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* ThePlan: Employed by Touma FermatsLastTheorem: Used in a case involving 3 couples who visits the same divorce lawyer. With help of UnsuspectingPawns of Sou, Loki, and the villains alike.Kana.



* ShipTease: Happens once in a while with Touma and Kana in the manga. 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.

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* 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.




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* TheWonka: 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. [[ArsonMurderAndJaywalking Third, I am getting boring of my hobby of Trout Fishing!]]
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* {{Eagleland}}: [[DiscussedTrope 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!
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* EverybodyHatesMath: Or at least Kana, to the point of catatonia after hearing advanced math explanation. Kinda ironic that Sou got a Math Degree from MIT.

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* BerserkButton: At least in the first books, insinuating that Sou is Kana's boyfriend [[HeIsNotMyBoyfriend can get you KO'ed by an iron fist]].



* BunnyEarsLawyer: 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.

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* BunnyEarsLawyer: Alan Blade from Alansoft is a very... Problematic problematic man to say the least. He's also the CEO of Alansoft, whose OS penetrated 90% of the world's computer.


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** 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.
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* 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.

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* AIIsACrapshoot: Subverted. The AI crashing Tokyo's traffic is only [[spoiler: a simple life simulation program without any evil intentions.]]
-->Loki: Poor guys, they only wanna live.
-->Touma: No, they're only programmed that way. They are not alive.



* AlienGeometries: One case involves murder in a recreation of Creator/MCEscher ''Ascending and Descending''.



* CoolBike: Appears at least one as Kana's transportation method.



** 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'']]

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** 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'']]said'']].
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* ImprobableAimingSkills: 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!

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