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the rotations exhibited by Lichess are elements of the SO(2) group (that means you use the ∈ symbol which means element of set, whereas ∉ means not an element of set, but in this case the set is a group which means it's equiped with ann [ahha I wrote ann by accident which stands for ARTIFICIAL NEURAL NETWORK which is part of DEEP LEARNING and means your connected neurons together which are relly just NODES in a DIFFERENTIAL GRAPH so to speak, to simplfy, its mostly just a graph that you can B A C K P R O P O G A T E [basically just move the error back through the graph as a gradient].. then do GRADIENT DESCENT... but anyways, that was just an aside l;back to what i was talking about..] OPERATION called "multiplication" in this case , and the group action is esentially a "rotation " as mere mortals call it), which if you know anything aboutQUANTUM MECHANICS ,(an area of (((⚛️⚛️⚛️PHYSICS⚛️⚛️⚛️)))) is a very important .if you were TO THINK and USE YOUR BRAIN unlike stupid chess.com person you would understand that the SO(2) is a subgroup of within SO(3) and SO(3) x2 is basically SU(2) which has a very beautiful representation in pauli matrices who is a very important person unlike chess.com idoit "international mister daniel RENSCH".. suidpid like that.. i hope u you chess.com " artists "and your SILLY** interpretations of the UNIVERSE shall be DESTROYED by SCIENCE and KNOWLEDGE. git rekt kiddo (warning: command is not valid git command... did you meant git rm?) come back when you've learned abstract homotopic lambda calculus and theoretical methemiatical PHYSICS 😎😎😎

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