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Exact(4)
For the aforementioned channel estimators, we increase the power at the pilot symbol by c p 2, the noise and ICI-dependent parts of the MSEs in Equation (29) and (37) decrease by the same factor c p 2. Therefore, we have σ ~ e 2 = c e σ n 2 + σ ICI 2 c p 2 + d. (42).
If this were the only process, the intensity of the hard component passing through a layer of solid material would decrease by the same amount as in an equivalent layer of air.
All non-zero brightness values will decrease by the same factor (dashed pink curve), but discrimination between luminances in the upper half of the outdoor distribution (cross-hatched area of the light-blue distribution) will be no better than before.
If both S and R increase or decrease by the same proportion, F R remains unchanged.
Similar(56)
Although none of his writings survives, Thales may well have known about a Babylonian observation that for similar triangles (triangles having the same shape but not necessarily the same size) the length of each corresponding side is increased (or decreased) by the same multiple.
Otherwise, the standard deviation is decreased by the same amount.
In order to compensate for this undesired effect, the value of the control wheel register is decreased by the same amount.
Indeed the Gaussian fitting analysis shows that the peak amplitudes decreased by the same proportion compared to its value at 500°C.
In the area-based comparison, the FM area of the EU GHGI was decreased by the same amount decreased for CBM runs, i.e. excluding unproductive forests and overseas territories, see "Methods" for further details.
If the same scattering mechanisms prevail in the planar and ribbon device, the current in both cases is decreased by the same amount, and thus, the ratio between Eq. 2 and Eq. 4 remains unaltered, thus not impacting our analysis.
When the fiber length is increased by a factor 3, the Raman threshold is decreased by the same factor as anticipated (so that parameter ( gamma ={g}_R^f {P}_{Peak} L ) remains approximately the same).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com