Sentence examples for methods and notation from inspiring English sources
The empirical methods and notation follow Charles and Stephens (2004, pp. 496 97) and Weiss and Willis (1997) closely.
The publication in 1901 of E. B. Wilson's textbook Vector Analysis, based on Gibbs's lectures at Yale, did much to propagate the use of vectorial methods and notation in both mathematics and theoretical physics, definitively displacing the quaternions that had until then been dominant in the scientific literature.
In the next section, we describe the different methods and notations used to perform the orbit corrections.
Each school of koto music from the courtly tradition to the present time involves changes in the structure of the instruments as well as changes in playing method and notation.
Using a similar method and notation from (2.1) and (2.2) as we did in the proof of Theorem 2.4, we have biglVert nabla Gbigl(T u bigr bigrVert _{p,B,w} leq C_{r}^{1 over p} |B|^{1-betaover pbeta} biglVert nabla G bigl(T u bigr bigrVert _{k,B} |w|_{1,B}^{1 over p}.
The method, and notation, are typical for this type of numerical analysis.
To present these methods, some mathematical definitions and notation are introduced.
Most early works were lost to the stage before modern methods of notation and recording revolutionised the art form, hence the predictable reliance among most of today's companies on works such as Swan Lake and Sleeping Beauty.
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.
It is necessary to provide designers and engineers with a set of methods, notations and tools to specify the different aspects to consider when designing this type of systems.
These reactors further extend the ARc from the situation shown in Figure 2, and the extreme DSR is completely built from a collection of extreme points (they lie in the boundary of the ARc and not in its interior, see definition and notation in the Methods section).
