# History Main / FormulaicMagic

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* ''VideoGame/TheWorldEndsWithYou'': Minamimoto summons a nuke by initializing the Level ''i'' Flare, which consists of [[MouthfulOfPi reciting pi to 150 digits]]. Of course, there are a lot of people capable of reciting pi to 150 digits, but they aren't Minamimoto, and they don't have a [[ItMakesSenseInContext graffiti covered dead end alleyway and eldritch tattoos]]. [[note:Fun bit of math[=/=]''Franchise/FinalFantasy'' info here. "Level x Flare" is a type of spell that casts Flare (one of the most powerful attack spells) on everything with a level divisible by whatever number x is. ''i'' is a mathematical term referring to the square root of -1, the consummate imaginary number. In addition to that, as the root of -''1'', that also makes it a possible factor in every number, real ''or'' imaginary. It would affect ''everything'', across all possible realities. Useful when your target can travel through dimensions.

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* ''VideoGame/TheWorldEndsWithYou'': Minamimoto summons a nuke by initializing the Level ''i'' Flare, which consists of [[MouthfulOfPi reciting pi to 150 digits]]. Of course, there are a lot of people capable of reciting pi to 150 digits, but they aren't Minamimoto, and they don't have a [[ItMakesSenseInContext graffiti covered dead end alleyway and eldritch tattoos]]. [[note:Fun [[labelnote: Fun bit of math[=/=]''Franchise/FinalFantasy'' math[=/=]''FinalFantasy'' info here. here.]] "Level x Flare" is a type of spell that casts Flare (one of the most powerful attack spells) on everything with a level divisible by whatever number x is. ''i'' is a mathematical term referring to the square root of -1, the consummate imaginary number. In addition to that, as the root of -''1'', that also makes it a possible factor in every number, real ''or'' imaginary. It would affect ''everything'', across all possible realities. Useful when your target can travel through dimensions.[[/labelnote]]

* ''VideoGame/TheWorldEndsWithYou'': Minamimoto summons a nuke by initializing the Level ''i'' Flare, which consists of [[MouthfulOfPi reciting pi to 150 digits]]. Of course, there are a lot of people capable of reciting pi to 150 digits, but [[CrazyAwesome they aren't Minamimoto]], and they don't have a [[ItMakesSenseInContext graffiti covered dead end alleyway and eldritch tattoos]].
** Fun bit of math[=/=]''Franchise/FinalFantasy'' info here. "Level x Flare" is a type of spell that casts Flare on everything with a level divisible by whatever number x is. ''i'' is a mathematical term referring to the square root of -1, the consummate imaginary number. In addition to that, as the root of -''1'', that also makes it a possible factor in every number, real ''or'' imaginary. ''Nothing'' escapes Level ''i'' Flare.
*** That said, ''1'' holds that same property as well, because as the multiplicative identity, it is a factor of ''every number ever''.
*** The beauty of Level ''i'' Flare is that it's a factor of every number, not just real numbers, meaning it would affect ''everything'', across all possible realities. Useful when your target can travel through dimensions.

to:

* ''VideoGame/TheWorldEndsWithYou'': Minamimoto summons a nuke by initializing the Level ''i'' Flare, which consists of [[MouthfulOfPi reciting pi to 150 digits]]. Of course, there are a lot of people capable of reciting pi to 150 digits, but [[CrazyAwesome they aren't Minamimoto]], Minamimoto, and they don't have a [[ItMakesSenseInContext graffiti covered dead end alleyway and eldritch tattoos]].
** Fun
tattoos]]. [[note:Fun bit of math[=/=]''Franchise/FinalFantasy'' info here. "Level x Flare" is a type of spell that casts Flare (one of the most powerful attack spells) on everything with a level divisible by whatever number x is. ''i'' is a mathematical term referring to the square root of -1, the consummate imaginary number. In addition to that, as the root of -''1'', that also makes it a possible factor in every number, real ''or'' imaginary. ''Nothing'' escapes Level ''i'' Flare.
*** That said, ''1'' holds that same property as well, because as the multiplicative identity, it is a factor of ''every number ever''.
*** The beauty of Level ''i'' Flare is that it's a factor of every number, not just real numbers, meaning it
It would affect ''everything'', across all possible realities. Useful when your target can travel through dimensions.

* In ''Literature/TheGodEaters'' this appears to be how the very powerful 'Pattern Magic' works.

* The ''Literature/HarryPotter'' series has an [[{{Whatevermancy}} Arithmancy]] class, whose name would imply divination through arithmetic. (Ironic, because Hermione actively loathes Divination ''itself''.) The reader doesn't get to hear much about the subject, though, beyond the fact that Hermione's studying it (and apparently enjoys it).
** In {{Fanon}}, Arithmancy is a common choice for [[PeggySue Intelligent!Harry]] stories. In these stories, its usually presented as discussing (and learning) the rules that govern magic itself. For instance, Arithmancy masters can cast wandlessly more easily, because they understand the way the magic flows and can create shortcuts, similar to simplifying a complicated equation. Its usually also implied that math in the magic world is dreadfully behind that of {{Muggles}}, with Trig being 'the last lesson before Mastery'. Cue Harry [[ShipToShipCombat (and Hermione, more often than not)]], [[MarySue learning Calc]].

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* The ''Literature/HarryPotter'' series has an [[{{Whatevermancy}} Arithmancy]] class, whose name would imply divination through arithmetic. (Ironic, because Hermione actively loathes Divination ''itself''.) class. The reader doesn't get to hear much about the subject, though, beyond the fact that Hermione's studying it (and apparently enjoys it).
** In {{Fanon}}, Arithmancy is a common choice for [[PeggySue Intelligent!Harry]] stories. In these stories, its usually presented as discussing (and learning) the rules that govern magic itself. For instance, Arithmancy masters can cast wandlessly more easily, because they understand the way the magic flows and can create shortcuts, similar to simplifying a complicated equation. Its usually also implied that math in the magic world is dreadfully behind that of {{Muggles}}, with Trig being 'the last lesson before Mastery'. Cue Harry [[ShipToShipCombat (and Hermione, more often than not)]], [[MarySue learning Calc]].
it).

* Connected to the above, ''Literature/TheLaundrySeries'' by Charles Stross also shows magic as mathematics, to the point where computers solving certain equations can warp reality as per magical spells. Becomes a bit of a problem when the walls around reality start weakening, to the worst-case scenario of somebody solving equations in their head running the risk of accidentally summoning an EldritchAbomination.

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* Connected to the above, ''Literature/TheLaundrySeries'' The Lovecraft-inspired, ''Literature/TheLaundryFiles'' by Charles Stross also shows magic as mathematics, to the point where computers solving certain equations can warp reality as per magical spells. Becomes a bit of a problem when the walls around reality start weakening, to the worst-case scenario of somebody solving equations in their head running the risk of accidentally summoning an EldritchAbomination.

* Magic in ''Manga/MissKobayashisDragonMaid'' is incredibly similar to computer programming, to the point that [[ETGaveUsWiFi wizards that migrated to Earth used it as the basis for JavaScript]].

* ''FineStructure'' uses science, not magic. In later stories, scientists fluent in [[http://tvtropes.org/pmwiki/pmwiki.php/Main/LanguageOfMagic Eka]] can unlock the "The simple knowledge of an equation is powerful in itself" kind of formulaic magic. [[spoiler:It's also revealed that the universe, or more accurately the imprisoning god, doesn't like anyone messing around with Eka.]]

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* ''FineStructure'' ''Literature/FineStructure'' uses science, not magic. In later stories, scientists fluent in [[http://tvtropes.org/pmwiki/pmwiki.php/Main/LanguageOfMagic Eka]] can unlock the "The simple knowledge of an equation is powerful in itself" kind of formulaic magic. [[spoiler:It's also revealed that the universe, or more accurately the imprisoning god, doesn't like anyone messing around with Eka.]]

* The ''VideoGame/FinalFantasyTactics'' series has a Calculator class that uses various magical effects. How their abilities work from an in-universe perspective is not specified.

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* The ''VideoGame/FinalFantasyTactics'' series has a Calculator class that uses various magical effects.effects, such as casting spells that hit every target whose level is a prime number. How their abilities work from an in-universe perspective is not specified.

* The last panel of ''{{Webcomic/xkcd}}'' [[http://xkcd.com/804/ #804]] treats the (very counter-intuitive) [[https://en.wikipedia.org/wiki/Banach%E2%80%93Tarski_paradox Banach-Tarski paradox]] as a result you can get in real life if you take the axiom of choice.

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* The last panel of ''{{Webcomic/xkcd}}'' [[http://xkcd.com/804/ #804]] treats the (very counter-intuitive) [[https://en.wikipedia.org/wiki/Banach%E2%80%93Tarski_paradox org/wiki/Banach-Tarski_paradox Banach-Tarski paradox]] as a result you can get in real life if you take the axiom of choice.

* Magic in Creator/HPLovecraft's mythos is often related to mathematics, and it makes sense considering his preference for AlienGeometries. In ''Dreams in the Witch House'', for instance, the protagonist is a mathematician who discovers an equation that would allow him to travel outside angled space (basically, to create wormholes). If you can understand the true nature of the universe, you can use that knowledge to do things that seem physically impossible to us. Provided you don't first GoMadFromTheRevelation or attract the attention of some EldritchAbomination, of course.

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* Magic in Creator/HPLovecraft's mythos is often related to mathematics, and it makes sense considering his preference for AlienGeometries. In ''Dreams in the Witch House'', "Literature/TheDreamsInTheWitchHouse", for instance, the protagonist is a mathematician who discovers an equation that would allow him to travel outside angled space (basically, to create wormholes). If you can understand the true nature of the universe, you can use that knowledge to do things that seem physically impossible to us. Provided you don't first GoMadFromTheRevelation or attract the attention of some EldritchAbomination, of course.

* Witches in ''Manga/SoulEater'' use "calculation magic" to make their spells more effective.

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* Witches in ''Manga/SoulEater'' use "calculation magic" to make their spells more effective.precise.

** [[http://www.scp-wiki.net/another-goddamn-magic-system During this lecture]] the speaker explains that almost anybody who does not believe in luck cannot create a luck charm with magic, unless they are an actual statistician, because they know what it would actually take to create luck, as an example of how not everyone can or can't do the same things with magic.

* Part 7 of ''Manga/JojosBizarreAdventure'' takes geometry very seriously. A short 2 page lesson on the golden ratio gives the protagonist the power to create miniature wormholes.

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* Part 7 of ''Manga/JojosBizarreAdventure'' ''Manga/JoJosBizarreAdventure'' takes geometry very seriously. A short 2 page lesson on the golden ratio gives the protagonist the power to create miniature wormholes.

* The UltimateMarvel version of the Scarlet Witch needs to work out the statistical probability of her hexes before she casts them for desired effects.

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* The UltimateMarvel ComicBook/UltimateMarvel version of the Scarlet Witch needs to work out the statistical probability of her hexes before she casts them for desired effects.

* It's revealed in the [[AllThereInTheManual supplementary]] [[ComicBookAdaptation manga]] of ''Franchise/LyricalNanoha'' that constructing the InstantRunes needed for magic in that setting requires a very good grasp of math. In fact, one of the reasons why Nanoha and Fate are such powerful mages is because they're both [[TeenGenius math geniuses]]. The [[MagicWand Devices]] aren't just conduits for mana, but they're also highly advanced calculators.

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* It's revealed in the [[AllThereInTheManual supplementary]] [[ComicBookAdaptation manga]] of ''Franchise/LyricalNanoha'' that constructing the InstantRunes needed for magic in that setting requires a very good grasp of math. In fact, one of the reasons why Nanoha and Fate are such powerful mages is because they're both [[TeenGenius math geniuses]]. The [[MagicWand Devices]] aren't just conduits for mana, but they're also highly advanced calculators.

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