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sheere
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The word SHEERE is NOT valid in any word game. (Sorry, you cannot play SHEERE in Scrabble, Words With Friends etc)
There are 6 letters in SHEERE ( E1H4R1S1 )
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In information theory, Shearer's inequality, named after James Shearer, states that if X1, ..., Xd are random variables and S1, ..., Sn are subsets of {1, 2, ..., d} such that every integer between 1 and d lies in at least r of these subsets, then* * * * H * [ * ( * * X * * 1 * * * , * … * , * * X * * d * * * ) * ] * ≤ * * * 1 * r * * * * ∑ * * i * = * 1 * * * n * * * H * [ * ( * * X * * j * * * * ) * * j * ∈ * * S * * i * * * * * ] * * * {\displaystyle H[(X_{1},\dots ,X_{d})]\leq {\frac {1}{r}}\sum _{i=1}^{n}H[(X_{j})_{j\in S_{i}}]} * where * * * * ( * * X * * j * * * * ) * * j * ∈ * * S * * i * * * * * * * {\displaystyle (X_{j})_{j\in S_{i}}} * is the Cartesian product of random variables * * * * * X * * j * * * * * {\displaystyle X_{j}} * with indices j in * * * * * S * * i * * * * * {\displaystyle S_{i}} * (so the dimension of this vector is equal to the size of * * * * * S * * i * * * * * {\displaystyle S_{i}} * ). |