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The Chernoff upper bound in (51) with a high SNR scenario can be approximately written as P_{{boldsymbol{s}}_{1},{boldsymbol{s}}_{2}}left {boldsymbol{M}}^{boldsymbol{Delta}} _{mathrm{RD_{SAS}}}right)leqfrac{1}{left(frac{E_{s}}{4N_{0}}right)^{rN}_{n}}{n=1}^{r}lambda^{N}_{n}}, (53).
The 2-point total resistance (text{R}_{{text{tot}}}) can be approximately written as the equations below: {text{R}}_{{text{tot}}} = {rho}_{text{SWNT}} {text{L}}_{text{ch}} + 2{text{R}}_{text{c}}where (rho_{{text{SWNT}}}) is the resistivity of SWCNTs and Rc is the contact resistance between graphene and SWCNTs.
The correlation contribution to the total tissue shear can be approximately written as (43) D i j ≈ A T 1 A D i j T 1 + A T 1 ¯ A D i j T 1 ¯ .
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Subsequently, by substituting (20) into (17), we can approximately write E[zeta_{k}(infty)]approxfrac{beta}{1-alpha}varepsilon_{text{min}}.
Also, for electron Lorentz factor, we can approximately write: gamma_{e} approx sqrt {1 + frac{{|{bar{mathbf{A}}}|^{2} }}{{(1 - sigma alpha )^{2} }}}.
The cast all seemed very relaxed in their roles, and while I may have flubbed a few of my lines, I believe the majority of them were spoken approximately as written.
'O Canada' was written approximately one million years ago; it could use some modern updates.
Ceci has written approximately 450 articles, books, commentaries, reviews and chapters.
CHINGEN 198, Senior Colloquium: completion of a capstone essay of approximately 7,500 words, written either in a directed reading course or for one of the courses above.
JAPANGEN 198, Senior Colloquium: completion of a capstone essay of approximately 7,500 words, written either in a directed reading course or for one of the courses above.
There are approximately 27 letters written from May 1917, when she was waiting to go overseas, to Jan . 1919when she left France to return to the United States.
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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