Note that, compared to Wilmshurst's conjecture, Theorem 3 undercounts the number of roots by (2 n-m-1)).
Note that, compared with more realistic scenarios, the model (24) is simplified for convenience but still adequate to make our point.
Note that, compared to the other zones, maximum density, SN resistivity, and natural gamma ray values are highest and the minimum porosity values are lowest at the intact zones (Figure 11).
Note that, compared to the work by Ottaviano et al.[20], the SR-XRD reveals more Mn5Ge3 peaks even for a much smaller Mn ion fluence due to the large flux of X-rays from the synchrotron source, which allows for the detection of small Mn5Ge3 nanocrystals.
In addition, Theorem 2 is not at all trivial, since the argument principle for harmonic functions [5, 17, 19] only yields that h has at least n zeroes (see Fact 1 in Sect. 2.2). (iii) Note that, compared to Wilmshurst's conjecture, Theorem 3 undercounts the number of roots by (2 n-m-1)).
Note that, compared with the plasmonic sensors working in infrared, terahertz, and microwave region, the sensors operating at visible band can realize a smaller periodicity of metamaterial structure, which can improve the utilization of these devices in many practical applications, such as chemistry and biology [38].
Note that, compared to their younger counterparts, older adults were also particularly slow to recognize the palm 0° stimuli.
Note that, compared with expression arrays, SNP arrays are even better suited to study base pair interactions because probe/target-duplexes are typically less contaminated with non-specific target fragments of unknown sequence and because genomic copy numbers are less variable than mRNA-transcript concentrations.
