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Still, such results reveal that at least to a first approximation the same basic mechanisms are at play when a human or a rat responds to a tone that has been associated with pain.
As can be seen from Fig. 5, the energy consumption at the beginning of electrolysis is approximation the same for the two electrodes.
The decoupled external source versus ground response approach is valid because, excluding regions close to strong conductivity anomalies, to a good approximation, the same magnetospheric-ionospheric source current will produce similar horizontal magnetic field variations at regions with different ground conductivity structures.
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It has been shown that when μ a ≪ μ s ′ both the diffusion approximation and more accurate descriptions like Monte Carlo or P∞ approximation produce the same value for the ratio that ensures a success of the approach even when the second condition for the diffusion approximation, μ ′ s ⋅ r > > 1 is not valid.
Since the lower approximation of a cluster is a subset of its upper approximation, this also automatically assigns the sample to the upper approximation of the same cluster.
However, the large argument approximation remains the same.
We guarantee that our approximation has the same topology as the exact Minkowski sum.
Figure 3 shows the exact value of minimum and its approximation under the same condition.
The corresponding arguments of approximation are the same as from Proposition 34 to Theorem 4 (presented in Sect. 5.1).
Then ( F : = r circ F_1) is the required approximation, and the same retraction provides a homotopy between f and F (the homotopy between f and (F_1) being obvious).
Besides this result, we also find the result that, in the two figures, the slopes of curves for high SNR approximation are the same.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com