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Khrapchenko's classical lower bound n2 on the formula size of the parity function f can be interpreted as designing a suitable measure of sub-rectangles of the combinatorial rectangle f−1 0)×f−1 0).
We use a kinetic Monte Carlo algorithm to simulate circuit computations, and we analyze circuit complexity: our design scales linearly with formula size and has a logarithmic time complexity.
We prove the negative result that convex measures are bounded by O(n2) and show that several measures considered for proving lower bounds on the formula size are convex.
Tumor sizes were measured by a caliper and computed following the following formula: size (mm) = length (mm) × width (mm)/2.
The index was calculated using the formula: size (cm) × 0.2+lymph node status (1 3)+grade (Haybittle et al, 1982).
An index using a revised formula (size (cm) × 0.42+grade × 0.78) was calculated for cancers with unknown lymph node status (The Breast Screening Frequency Trial Group, 2002).
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We calculated the differences between TOF and true FISP of vertebral artery hypoplasia and vertebral artery dissection using the following formula: vessel size - lumen signal.
Mice were injected subcutaneously into the right flank with 2.5×106 human melanoma cells and tumour weight was measured by a caliper with the formula: Tumor size (mm3) = length×width2 /2 [38].
The following information was collected from prescription records: animal species, trade name of the product, strength of the formula, package size, duration of the treatment period and indication.
This is done by a simple formula: page size (including clips and graphics) multiplied by page views per month.
A mathematical model that offers a closed-form formula for sizing space for occupant flow is developed.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com