The demonstrations are made theoretically, and validations are made through simulation studies that show that the derived test statistics and their corresponding power functions are very close to each other.
Although theoretically predicted, these results are the first demonstration of the increased actuator performance at higher operating stresses.
Following the first demonstration, many optical modulators enhanced by graphene have been theoretically and experimentally demonstrated.
"It was fun to do it in a 'hands on' way so we understand the importance of each step"; and "The demonstrations explained the reason for each step and how to theoretically perform the method".
Students' comments indicated that they valued learning the process of each step in the experiment: "It was fun to do it in a 'hands on' way so we understand the importance of each step"; and "The demonstrations explained the reason for each step and how to theoretically perform the method".
Theoretically, this is the easiest to understand, as it offers the simplest and most direct demonstration of the ability of the TCD to predict experimental data.
To the best of our knowledge, this is the first demonstration of a strength link between these two elements which are logically and theoretically related but whose modality of respective behavior was not completely clear.
Even though delay-induced instability is widely discussed in theoretical literature for negative feedback systems [41], [43], [44], a direct demonstration of the interaction of delay and negative auto-regulation using gene circuits has not been shown both experimentally and theoretically.
But Musk noted that he thinks a 2.3-second time is theoretically possible for a stock Model S with the Ludicrous+ update, based on Motor Trend's testing standards, and this demonstration from a third party certainly makes that seem well within reach.
The notion of noise-driven transitions between co-existing attractor states has been well explored theoretically and experimentally in model organisms (see the recent reviews [84], [85] and references therein); and has recently had some experimental demonstration in mammalian cells [54].
