At the heart of SPE is the claim that the sounds of individual words were derived step by step, through a sequence of rules that come from deep underlying forms, a claim that is parallel to the one that Chomsky was making about syntax.
For an original high-order system, the final control laws can be derived step by step through suitable Lyapunov functions.
It can be derived step by step from the previous proof, but showing it here would be quite fastidious and would not add new insights to this paper.
In this paper, the theory of PANROM is derived step by step and, after the validation, the coupled model is applied to NREL Phase VI wind turbine blade.
Combining the Lindstedt-Poincaré procedure and the solution for differential equations with special coefficients, the third-order analytical solutions can be derived step by step.
Afterward, the Benjamini-Hochberg (BH) derived step-up procedure of FDR was applied to account for multiple hypothesis testing.
To incorporate the previous described secondary data sources in a kernel framework for microarray-based cancer classification presented in Figure 2, the databases were converted into graphs from which the corresponding Laplacian matrix can be derived (step 1 in Figure 2).
The P-values were then corrected using the Benjamini-Hochberg derived step-up procedure for false discovery rate (FDR) to account for multiple hypothesis tests.
The final mathematical model (Model 6; model equations, parameter values, and notation see Methods and Additional file 1) was derived step by step (see Figure 3), keeping the model structure (components and interactions) as simple as possible.
Over the years, Mr. Cunningham has been fascinated by the sheer process of creation, letting procedures involving chance and indeterminacy shape choreographic structure and, more recently, deriving steps from experiments with computer technology.
In this paper, we derive, step-by-step, the core mechanisms of GraphTIS, starting with a standard peer-to-peer system, outlining a first solution named PeerTIS which is based on a modification of this standard DHT, and then presenting GraphTIS, a novel peer-to-peer system that has been specifically designed to support traffic information systems.
