Sentence examples for be extended to complex from inspiring English sources

The elementary functions of real analysis, such as polynomials, trigonometric functions, and exponential functions, can be extended to complex numbers.

Direct access to these modes allows the physical intuition of thin film optics to be extended to complex structures.

In principle, the method suggested may be extended to complex structures with various cracks, if their stress intensity factors are known.

However, the further development of the IDEAL algorithm encounters with two key issues: it is hard to be mastered by other researchers and difficult to be extended to complex engineering problems.

The aim of this study is to propose a numerical model which can estimate the increase in buckling stability with different volume fractions of graphene and can further be extended to complex shapes and structures.

CSS can be extended to complex traits.

Future evaluations of reference pricing will need to assess health outcomes, especially if reference pricing is extended to complex specialty drug classes, the authors note.

In paper II [2] the theory was extended to complex high frequency sound from non compact sources.

The analysis is extended to complex turbulent flow simulations in which non-uniform grid spacings are used to better resolve the local turbulence structures.

The classical method of characteristics for the integration of real first-order PDE is extended to complex equations, via a symplectic structure on the complex cotangent bundle that is holomorphic along the fibres.

The interpretation function (cdot ^mathcal {I}) is extended to complex concepts, as shown in Fig. 1, where (sharp Gamma ) stands for the cardinality of the set (Gamma ).