The equations presented in this paper have been derived from application of the theory of elastic shells (or curved beams) and therefore are more appropriate for the analysis of circular tunnel liners.
This net trust value which is the composite trust of attribute importance values and network utility values and the computational trust of the agent associated with the node is derived from application of principles described in Eq. 10.
As the data on public performance was derived from application statements, this also represents a predictive validity from a particular component of the application statement.
However, the US data is based on those successfully taking up training posts in contrast to our data that is derived from applications.
The design methods are derived from the application of the ν-gap metric and the H∞ loop shaping method within the GMC design framework.
The discrete optimization problems studied today are nearly endless in variety and are derived from diverse application domains such as computational biology, game theory, logistics, network design and more.
We solve this problem under a unified formulation by modeling a packing process as a Markov chain whose state transition probabilities are derived from an application of the partitions of integers.
Furthermore, several sufficient conditions for the existence of the solutions are derived from the application of fixed point theorems and inequalities such as the Hölder and Gronwall inequalities.
Many new technologies are derived from the application of nanotechnology, for example, CellSearch System [18], AdnaSystem [19], versatile immunomagnetic nanocarrier platform [20], one-step detection method [21], aptamer application [22], and magnetophoresis technology [23] (Table 1).
Thus, it is worth to note that sufficient conditions (4.6) and (4.7) in Theorem 4.2 are derived from the application of the method and numerical simulations suggest that they may be not necessary (see Example 5.1).
There are a large number of standards concerned with gasketed joints in the UK that are derived from the applications and practice of different industries.
