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The fractional sum associated to (( ^{ABR} _{a}nabla^{alpha} f)(t)) with order (0<alpha<1) is defined by bigl( ^{AB} _{a}nabla^{-alpha} f bigr) (t)=frac{1-alpha}{B alpha)}f(t)+frac {alpha}{B alpha)} bigl nabla_{a}^{-alpha}f bigr) (t).
Furthermore, at SF sum values > 35 mm, the Slaughter equations are linear, with each 1 mm increase in the SF sum associated with a 0.783 (boys) or 0.546 (girls) increase in the estimate of percent body fat.
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The sums associated with "Avatar" would not be out of place in the projected federal-budget deficit, which was also announced last week (but isn't as much fun to think about).
The final formulae for the overall properties show explicitly the dependence on (i) the properties of the phases, (ii) the radius of the cylindrical fiber and (iii) the lattice sums associated with the square array.
The double sequence of symmetric rectangular partial sums associated with Fourier series of f is given by s_{mn} x,y)=sum_{k=-m}^{m}sum _{l=-n}^{n}hat{f} k,l e^{i kx+ly)}, and its integral representation is given by s_{mn} x,y)=frac{1}{pi^{2}} int_{-pi}^{pi} int_{-pi}^{pi }f(x+u,y+v D_{m} u)D_{n} v),du,dv, (2) where (D_{k}(t)=frac{sin k+frac{1}{2})t}{2sis(the)}) is the Dirichlet kernel.
In particular, both decreasing decade sum as well as decreasing unit sum was associated with fMRI signal change in the left angular gyrus.
The contract for the housing at Fort Meade could amount to $2 billion, a sum normally associated with military contracts for jet fighters.
An additional up-scatter component correction (0.67) had to be made because of the strong coincidence sum peak associated with the In-111 172- and 254-keV cascade.
The main goal of the proxy is to maximize the sum MOS associated with different SVC streams based on the periodic congestion signal from the eNodeB.
Additionally, we have examined the gender-specific and community-specific prevalence of SUM and associated factors in the study participants.
We therefore approximated the sum and associated 95% confidence band with 1000 bootstrap samples, using the 50th, 2.5th, and 97.5th centiles, respectively.
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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