- 3,166
- 7,810
Four days ago Alan Becker posted a new video Animation vs. Math, qualifying the verse for a major upgrade with the weaponization of the concept ∞Infinity that escalated its tier from 3-B to High 3-A however many concepts were neglected other than Infinity itself so I'll delve into it with this thread.
Here is the main video made by Alan Becker.
In the timestamp 9:37, we see The Second Coming breaking through the complex plane with his infinite tangent wave [f(x) = 9tan(πx)] bazooka, stacking up the boundary of the vector space up to fourth dimensions to create a portal and break through it. Each x in the sequence represented a coordinate (vector span) and the number 4 was written as a superscript above the variable R (denoting an infinite set of all real numbers; Cartesian product), meaning TSC transcended the 4th dimension. The cardinality of the continuum (set of all real numbers) is uncountably infinite which would qualify the destruction of vector quantities and spaces above the ordinary scale of countable infinities.
R^n=(x1,x2,x3,…,xn) is a set of coordinates for a n-dimensional vector. For example, R^6=(1,6,−23,0.23,0,400) represents the coordinates of a 6th-dimensional vector.
A matrix is the sum of n-dimensional vectors in an n-dimensional space and could also be multiplied by an external scalar
Examples of mathematical representation of an n-dimensional vector space could be shown in the images below.
towardsdatascience.com
en.wikipedia.org
^^more info here if anyone needs clarification with Euclidean-vector space and the Cartesian plane
Hence, with all the intel listed above the feat of TSC expanding the dimensional domain of the complex plane should be at least Low 2-C considering how it's an extra-dimensional Euclidean space which transcends the ordinary 3-dimensional Cartesian coordinate system. Especially given how we've only seen TSC transcend through the complex plane by only expanding it up to 4 dimensional by blasting the boundary with infinite tangent waves 4 times within seconds, he should be Low 2-C at the bare minimum; logically, its dimension domain could be expanded up infinitely considering TSC already has Infinite attack speed with Mathematical Manipulation (theoretically, could qualify TSC up to Low 1-A with chain reaction). And before anyone brings up that the Complex plane is not Universal in size, just so you know it could be infinitely expanded (as it's already infinite dimensional itself) by axioms and theorems and it wouldn't make any difference.
Later on in the video at timestamp 10:35, we see TSC firing wave functions of cos(π)+isin(π) powered by the Complex Plane at Euler's Identity's Numberzilla form and leaving circular craters on the floor. Hence, the Complex Plane is spherical and considering it could be potentially stacked up to infinite dimensions, we could infer the complex plane is a hypersphere with countless dimensional domains; given that, it further expands the power and potency of the TSC and Euler's Identity considering how they both can manipulate the mathematics proficiently making both characters extremely powerful. The cosmology of Animator vs. Animation itself isn't 2-dimensional but it's Alan Becker's animation style that stemmed a headcanon towards that type of belief, therefore I'm not going to delve into those characters being made out of data, therefore, they're significantly inferior to normal humans or whatsoever.
The Euclidean n-dimensional of coordinate spaces could be any dimension that correspondent with the spherical coordinate system applied to the 3-dimensional Euclidean geometrical structure of our universe.
^^can also be inversely interpreted down to the negative/imaginary dimensional scales
^^practically a method to express the volume element of an n-dimensional Euclidean space in terms of spherical coordinates.
en.wikipedia.org
More info about the hypersphere^^
E.g. the N-sphere or hypercube is brought up to further solidify the basis of TSC and Euler's identity being extradimensional rather than placed at a simple infinite 3-D tier.
φ = the angle of an object with spatial properties (n-dimensional object)
n = a number of spatial dimensions/coordinate spaces
At timestamp 13:13, Euler's Identity removed its imaginary segment, changing its factorial to the Gamma function by reorientating its index. The variable n expanded up to infinity hence expanding up to infinite dimensions, therefore qualifies as an evident High 1-B feat.
https://en.wikipedia.org/wiki/Gamma_function
^^More info on the Gamma function and its alternatives.
The variable n represents the number of dimensional domains (number of coordinate spaces) and each term becomes an n-dimensional unit sphere.
^^source: n-sphere page on Wikipedia
With all the information given, the dimension of mathematics were Animation vs. Math takes place is at least Infinite dimensional at an exceptional scale into High 1-B or possibly reaching Low 1-A given the fact that a set of real numbers is uncountable infinite, therefore making it greater than the cardinality of all natural numbers (ℵ0), making each set ℵ₁
The mathematical plane is split into two dimensions that are 90 degrees rotated. The dimension of imaginary numbers was cracked from the destruction caused by the TSC hence it'll rather be a power feat of both AP and mathematical manipulation rather than mathematical manipulation itself. That being the case, it'll stack up TSC and Euler's identity tier at least 2 times above their baseline theoretical AP.
Overall conclusion:
TSC and Euler's identity should all be upgraded from High 3-A to High 1-B by expanding and breaking through the number of coordinate spaces and manipulating it to its theoretical peak (which is infinity). Perhaps a Low 1-A tier could also be applied since the Mathematical plane (dimension where the video took place) not only encompasses real numbers but also imaginary numbers as well, especially if both are separated spatiotemporally like Universes by standards of the setting of Animation vs. Math. Each set of real numbers is uncountably infinite because it transcends the cardinality of all natural numbers.
Not to mention, at 13:46 we see Aleph in the background
Great source of clarification (credits to RatherClueless for finding the video)
Agree: Georredannea15, Deidalius, Board3659, Greatsage13th, JustANormalLemon, Phoenks, Brogeefrong (unsure about Low 1-A), Rau (disagree on Low 1-A), Barbar01, Marshadow29, Hjxdvd, LuffyRuffy46307, Rose_of_Ragnarok (except for Low 1-A), Unqver, Rakih_Elyan, DontTalkDT
(In an extremely casual view on this, only agree with a possibly High 1-B rating), Alexander, TauanVictor, KingNanaya, PhantomØ4, Fixxed, Stryker861
Neutral: TyranoDoom30, Psychomaster35
Disagree: ImmortalDread, MysticCarnage (might change their mind), Winter
Here is the main video made by Alan Becker.
In the timestamp 9:37, we see The Second Coming breaking through the complex plane with his infinite tangent wave [f(x) = 9tan(πx)] bazooka, stacking up the boundary of the vector space up to fourth dimensions to create a portal and break through it. Each x in the sequence represented a coordinate (vector span) and the number 4 was written as a superscript above the variable R (denoting an infinite set of all real numbers; Cartesian product), meaning TSC transcended the 4th dimension. The cardinality of the continuum (set of all real numbers) is uncountably infinite which would qualify the destruction of vector quantities and spaces above the ordinary scale of countable infinities.
R^n=(x1,x2,x3,…,xn) is a set of coordinates for a n-dimensional vector. For example, R^6=(1,6,−23,0.23,0,400) represents the coordinates of a 6th-dimensional vector.
A matrix is the sum of n-dimensional vectors in an n-dimensional space and could also be multiplied by an external scalar
Examples of mathematical representation of an n-dimensional vector space could be shown in the images below.
Linear Algebra: Euclidean Vector Space
Part 5: A Gentle Introduction to Euclidean Vector Space
towardsdatascience.com
Cartesian coordinate system - Wikipedia
Hence, with all the intel listed above the feat of TSC expanding the dimensional domain of the complex plane should be at least Low 2-C considering how it's an extra-dimensional Euclidean space which transcends the ordinary 3-dimensional Cartesian coordinate system. Especially given how we've only seen TSC transcend through the complex plane by only expanding it up to 4 dimensional by blasting the boundary with infinite tangent waves 4 times within seconds, he should be Low 2-C at the bare minimum; logically, its dimension domain could be expanded up infinitely considering TSC already has Infinite attack speed with Mathematical Manipulation (theoretically, could qualify TSC up to Low 1-A with chain reaction). And before anyone brings up that the Complex plane is not Universal in size, just so you know it could be infinitely expanded (as it's already infinite dimensional itself) by axioms and theorems and it wouldn't make any difference.
Later on in the video at timestamp 10:35, we see TSC firing wave functions of cos(π)+isin(π) powered by the Complex Plane at Euler's Identity's Numberzilla form and leaving circular craters on the floor. Hence, the Complex Plane is spherical and considering it could be potentially stacked up to infinite dimensions, we could infer the complex plane is a hypersphere with countless dimensional domains; given that, it further expands the power and potency of the TSC and Euler's Identity considering how they both can manipulate the mathematics proficiently making both characters extremely powerful. The cosmology of Animator vs. Animation itself isn't 2-dimensional but it's Alan Becker's animation style that stemmed a headcanon towards that type of belief, therefore I'm not going to delve into those characters being made out of data, therefore, they're significantly inferior to normal humans or whatsoever.
The Euclidean n-dimensional of coordinate spaces could be any dimension that correspondent with the spherical coordinate system applied to the 3-dimensional Euclidean geometrical structure of our universe.
^^can also be inversely interpreted down to the negative/imaginary dimensional scales
^^practically a method to express the volume element of an n-dimensional Euclidean space in terms of spherical coordinates.
n-sphere - Wikipedia
E.g. the N-sphere or hypercube is brought up to further solidify the basis of TSC and Euler's identity being extradimensional rather than placed at a simple infinite 3-D tier.
φ = the angle of an object with spatial properties (n-dimensional object)
n = a number of spatial dimensions/coordinate spaces
At timestamp 13:13, Euler's Identity removed its imaginary segment, changing its factorial to the Gamma function by reorientating its index. The variable n expanded up to infinity hence expanding up to infinite dimensions, therefore qualifies as an evident High 1-B feat.
https://en.wikipedia.org/wiki/Gamma_function
^^More info on the Gamma function and its alternatives.
The variable n represents the number of dimensional domains (number of coordinate spaces) and each term becomes an n-dimensional unit sphere.
| n refers to the dimension of the ambient Euclidean space, which is also the intrinsic dimension of the solid whose volume is listed here, but which is 1 more than the intrinsic dimension of the sphere whose surface area is listed here. The curved red arrows show the relationship between formulas for different n. The formula coefficient at each arrow's tip equals the formula coefficient at that arrow's tail times the factor in the arrowhead (where the n in the arrowhead refers to the n value that the arrowhead points to). If the direction of the bottom arrows were reversed, their arrowheads would say to multiply by 2π/n − 2. Alternatively said, the surface area Sn+1 of the sphere in n + 2 dimensions is exactly 2πR times the volume Vn enclosed by the sphere in n dimensions. |
With all the information given, the dimension of mathematics were Animation vs. Math takes place is at least Infinite dimensional at an exceptional scale into High 1-B or possibly reaching Low 1-A given the fact that a set of real numbers is uncountable infinite, therefore making it greater than the cardinality of all natural numbers (ℵ0), making each set ℵ₁
The mathematical plane is split into two dimensions that are 90 degrees rotated. The dimension of imaginary numbers was cracked from the destruction caused by the TSC hence it'll rather be a power feat of both AP and mathematical manipulation rather than mathematical manipulation itself. That being the case, it'll stack up TSC and Euler's identity tier at least 2 times above their baseline theoretical AP.
Overall conclusion:
TSC and Euler's identity should all be upgraded from High 3-A to High 1-B by expanding and breaking through the number of coordinate spaces and manipulating it to its theoretical peak (which is infinity). Perhaps a Low 1-A tier could also be applied since the Mathematical plane (dimension where the video took place) not only encompasses real numbers but also imaginary numbers as well, especially if both are separated spatiotemporally like Universes by standards of the setting of Animation vs. Math. Each set of real numbers is uncountably infinite because it transcends the cardinality of all natural numbers.
Not to mention, at 13:46 we see Aleph in the background
Great source of clarification (credits to RatherClueless for finding the video)
Agree: Georredannea15, Deidalius, Board3659, Greatsage13th, JustANormalLemon, Phoenks, Brogeefrong (unsure about Low 1-A), Rau (disagree on Low 1-A), Barbar01, Marshadow29, Hjxdvd, LuffyRuffy46307, Rose_of_Ragnarok (except for Low 1-A), Unqver, Rakih_Elyan, DontTalkDT
(In an extremely casual view on this, only agree with a possibly High 1-B rating), Alexander, TauanVictor, KingNanaya, PhantomØ4, Fixxed, Stryker861
Neutral: TyranoDoom30, Psychomaster35
Disagree: ImmortalDread, MysticCarnage (might change their mind), Winter
Last edited:
