Sentence examples for functional applied from inspiring English sources

Suppose that L is a linear functional applied to the arbitrary function h ( x ), and then consider the following special function: H ( x ; h, λ ) = h ( x ) + λ L ( h ) ( λ ∈ R ∖ { 0 } ).

See [7, Chapters 10 and 11], [19, 23, 24, 31] for further references on the use of these smoothed expectations of additive functionals applied to maximum likelihood parameter inference in latent data models.

Now we produce k-exponentially and exponentially convex functions applying defined functionals.

The notation means that the functional is applied to considered as a function of.

A new Lyapunov functional is applied to guaranteed the obtained results.

It is necessary to examine the feasibility of systemic functional linguistics applied in analysing the realization of coherence in both Chinese and English.

The paper describes the improvement of the reconstruction when a least-square fit algorithm, which minimizes a distance functional, is applied.

2,3,5,6-Tetramethylpyrazine (TMP) is a functional chemical applied for curing cardiovascular and cerebrovascular diseases, and also a famous compound for adding food flavours.

In addition, we analyze the technological alternatives for implementing the architecture and we present a functional prototype applied to the domain of legal documents.

This work developed a methodology that uses the thermoeconomic functional diagram applied for allocating the cost of products produced by a biodiesel plant.

The functional categories applied were from the National Center for Biotechnology Information COG database (Tatusov et al. 2003).