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Like the flood victims, the landless laborers and the educated elite, I left — left so that I would not be snared by the immemorial Bihari fate: a life of resignation and silence.
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with the stacked vector (boldsymbol {h}_{text {eff}}^{(i)} = left (left (boldsymbol {h}_{text {eff}}^{ i,1 }right)^{T},dots,left (boldsymbol {h}_{text {eff}}^{ i,L }right)^{T}right)^{T}) of all effective channels from L active layers to receive antenna i for which we will drop the subscript in the following.
Since |h i | is a Rayleigh distributed random variable with pdf (f_{left | h_{i} right |} left (left | h_{i} right | right) = 2 left | h_{i} right | text {exp} left (- left | h_{i} right |^{2} right)), it follows that (mathcal {E} left (left | h_{i} right | right) = sqrt {frac {pi }{4}}) and (mathcal {D} left (left | h_{i} right | right) = 1 - frac {pi }{4}).
end{aligned}Comparison of both sides with (x_{0}=1) leads to begin{aligned} n!sum _{left| mathbf {k}right| =n}prod _{i=1}^{r}genfrac{0.0pt}0{ ck_{i}-a_{i}}{k_{i}}=left. left( left( frac{mathrm {d}}{mathrm {d}x}right) ^{n}frac{ x^{cn+r-1-left x^{cn+r-1-left x^{cn+r-1-leftft( 1-cright) x+cright) ^{r-1}}right) right| _{x=1} end{aligned}which imathbf the assertion.
Hence, the exposure of the specialist lender to the default of the bank is ((1-R) sum _{i }J^{i}_{tau } left (left (Q^{i}_{tau }right)^ wedge text {PIM}^{i}_{tau }right)).
I left without thinking I was leaving".
When I left Clarence Carter, I left the car with him.
I was told to leave and I left.
"When I left it, I left it – you got to leave that behind you," he says.
And when she asked me to leave I left.
I want to leave what I left in Detroit".
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com