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Herein, we thus assume that the antenna gain may take two possible constant values, one for θ ∈ , and one (much lower than the former) outside the above interval: the side contributions are thus all equally weighted by the side beams.
Furthermore, applying the above interval bifurcation result (Theorem 3.1), by an argument similar to that of [26], we can obtain Theorem 4.1 and Theorem 5.1 for problem (4.1) and problem (5.1).
We denote by (lambda_{1}) and (lambda_{2}) the left and the right of the above interval, respectively: lambda_{1}=frac{2 vert B_{mu}(x^{ast}) vert _{r+1}}{amu}quad text{and}quad lambda_{2}= frac{(2a vert B_{mu}(x^{ast }) vert _{r}+1)^{2}+14a^{2}+1}+1
Let us remind that the support of a measure of the Nevai class consists of ([-1, 1]) and at most a denumerable set of real mass points located outside ([-1,1]) which, when infinitely many, may accumulate only at the end points of the above interval.
In terms of physical distance the above interval corresponds to approximately 15.6 Mb (13.5- 29.1 Mb; Broad Institute of MIT and Harvard genome assembly Orenil1.1).
Following the method described above, interval mapping (IM) was performed on the whole genome.
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The possible natural answers to this question lead to three reasonable alternatives, respectively giving rise to point-based logics discussed above, interval-based logics, and mixed, two-sorted logics, where points and intervals are considered as separate sorts on a par and formulae for both sorts are constructed.
At the above intervals, 20 μl of the MTT solution were added to each well and the plates were incubated at 37°C for 3 h.
Topographic comparisons were done by entering mean amplitude values of the above intervals into Group × Electrode ANOVAs separately for each task.
These values are around ten times lower than the size of each interval, ensure the validity of the above intervals of tolerance, and confirm the sensitivity of Q abs to each parameter.
We compared variations in velocity vectors and in magnetic field vectors throughout the possible MC intervals and found that they are well correlated with each other during the above time interval.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com