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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.
It's about the debts you have amassed, which in PG&E's case include as-yet undetermined (but no doubt enormous) sums associated with last year's devastating Camp fire.
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The fractional sum associated to (( ^{ABR} _{a}nabla^{alpha} f)(t)) with order (0
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.
A Fourier series solution is assumed, in which the total number of harmonics is fixed by the chosen discrete-time interval this series is split into two partial sums nominally associated with either low-frequency or high-frequency harmonics.
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.
In Section 2, we define some new finite arithmetic sums which are associated with the Dedekind sums, the Hardy-Berndt sums, and Simsek's sum.
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.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com