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Uploaded by Background Pony #26AD
 1200x1007 JPG 146 kB
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2280944 ai voice
794 artist:fanzeem
101 fifteen.ai
581 part of a set
27125 twilight sparkle
371598 gynoid
881 pony
1710997 robot
12401 robot pony
6688 unicorn
587469 g4
2123178 book
46019 chalkboard
3768 female
1911819 math
1006 roboticization
889 solo
1503533 thinking
2900 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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