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Uploaded by Background Pony #26AD
 1200x1007 JPG 146 kB
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2242948 artist:fanzeem
99 fifteen.ai
583 part of a set
25985 twilight sparkle
367872 gynoid
877 pony
1673560 robot
12215 robot pony
6584 unicorn
569841 g4
2104444 ai voice
762 book
45374 chalkboard
3771 female
1881300 math
999 roboticization
895 solo
1484882 thinking
2808 twibot
154 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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