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We also observe, by taking an appropriate cut-off function a above, that this procedure is local, that is we only need to know the DN map in an open set of the boundary to determine the Taylor series of the conductivity in that open set.
We observe by taking the logarithm with an appropriate branch cut that begin{aligned} prod_{n} bigl(1+ a_{n} z bigr) end{aligned} (52) converges if and only if the infinite sum begin{aligned} sum_{n} a_{n} z) end{aligned} (53) converges, assuming (sum_{n} vert a_{n} z vert ^{2} ) converges.
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A clear conducting bridge associated with the migration of Au nanoparticles (NPs) inside a defective ZnO film from anode to cathode could be clearly observed by taking a series of TEM images, enabling a dynamic observation of switching behaviors.
Rathayatra, Hindu festival of India, observed by taking an image of a deity in a procession (yatra) through the streets in a chariot (ratha).
Growth was observed by taking absorbance at 600 nm.
The carbon steel and the bentonite were observed by taking photographs and analyzed by X-ray diffraction.
The viability of the cells was observed by taking the absorbance at 595 nm.
Different forms of periodic, quasi-periodic and chaotic vibrations are observed by taking the rotating speed and imbalance as the control parameter.
Enhanced energy and cost savings opportunities were observed by taking the novel perspective of optimizing building portfolios in multiple grid markets, motivating the pursuit of future smart grid advancements that take a holistic and communal vantage point.
Security relies instead on monitoring systems thoroughly in order to establish a baseline, identifying anomalies such as a computer moving unusual volumes of data or communicating with suspect IP addresses, and responding rapidly when unusual behavior is observed by taking affected computers off the network.
The evolution of the system is observed by taking m consecutive measurements of each of the interacting quantities.
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