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Although (left [widetilde {{mathbf {mathcal {T}}}}_{k}right ]_{ij}=1) under perfect positive dependence, we rather get (mathrm {E}_{Pi }left (left [widetilde {{mathbf {mathcal {T}}}}_{k}right ]_{ij}right)= left (n_{ik}n_{jk}/N_{ijk}right)left (1/n_{jk}-1/n_{ik}right)^{2}) under the assumption of independence and an unwieldy expression for negative dependence.
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The expression is unwieldy, but it provides a numerical approximation ∫ 0 1 Q 1 (σ 1 ) d σ 1 ≈ 0.1284522.
A composite null hypothesis such as this one is largely intractable because it contains an unwieldy class of potential probability distributions describing gene expression.
The exact expressions obtained for P and Q are quite complex and unwieldy.
Somewhere around 30 seconds into Jeremy's speech: a sort of hush descends as the Leader starts off on a rather odd oratory journey, broken up by nervous swallowing, breathless unwieldy sentences that are hard to follow and sometimes impossible to establish as having ended, delivered with strained expressions by a man who doesn't look, or sound, particularly comfortable.
It's an unwieldy subject.
It is all unwieldy.
And anything unwieldy tends to fall apart".
He crammed women into unwieldy padded costumes.
The unwieldy objects sometimes clog the works.
"It's this big, unwieldy thing".
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