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Uploaded by Background Pony #26AD
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2277448 ai voice
793 artist:fanzeem
101 fifteen.ai
581 part of a set
27026 twilight sparkle
371036 gynoid
878 pony
1706869 robot
12360 robot pony
6665 unicorn
585670 g4
2120297 book
45941 chalkboard
3764 female
1907819 math
1005 roboticization
884 solo
1500715 thinking
2892 twibot
150 unicorn twilight
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2 comments posted
Background Pony #EE55
Non-Fungible Trixie -
My Little Pony - 1992 Edition
Wallet After Summer Sale -

Hash value is #55EE
@I Was Never Here
Looks like it’s a probability of something.
1{x(t)=i, x(t+1)=j} only equals 1 if x(t) is i and x(t+1) is j, and is 0 otherwise.
aij^1{x(t)=i, x(t+1)=j} is thus only meaningful in the product when x(t)=i and x(t+1)=j, because otherwise this term will just be 1.
I suspect the equation is describing the total probability of M*M variables (labeled a11, a12, …, a1M, a21, …, a2M, …, aMM) taking on a specific set of possible values through T time steps. Each step’s value is only dependent on the previous step’s value.
…and that’s only describing the first half of the first formula on the top.
The second line takes log of first line to convert multiplication into summation, so it’s easier to handle (both for human and for computers). The small pi that came from nowhere might describe the probabilities of the initial condition, x(0). The expression in the power doesn’t exactly match what’s in the first line, so I assume either the artist or the commissioner omitted some key assumptions.
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