These theorems are Taylor-like expansions in terms of different types of functions.
Each of these theorems is the generalized Leibniz rules for fractional derivatives and the Taylor-like expansions in terms of different types of functions.
As initial data we have taken two different types of functions: Maxwellians: p 0 ( v ) = 1 2 π σ 0 e − ( v − v 0 ) 2 2 σ 0 2, (5.1).
We now shift our focus on the different Taylor-like expansions in terms of different types of functions involving the generalized Hurwitz-Lerch zeta functions Φ λ, μ ; ν ( z, s, a ).
Basic media services refer to three different types of functions, which include playing announcements or video messages, prompting and collecting information (user interaction), and mixing media (basic conferencing), and these can be combined to provide interesting applications.
Pitched/Angled/Splayed walls: Highly effective in defining specific spaces for different types of functions, this wall uses a slightly irregular angle, 80 degrees for example, to delineate a specific function.
The following three different types of function-driven approaches have been employed for screening of metagenomic libraries: (1) direct detection of specific phenotypes of individual clones; (2) heterologous complementation of host strains or mutants; (3) induced gene expression (Fig. 1 and Table 1).
Glycosylation is a type of posttranslational modification (PTM) that assists in protein structural folding, transport, and different types of functions.
Information about sequence conservation (see section 7.1) is another important aspect and could provide clues about evolutionarily constrained or flexible types of disorder, which are implicated in different types of functions.
Different types of functions, including linear, non-linear relationship, or data transformation, were used to examine factors related to dengue disease counts, and the best fit model was selected based on AIC; the model with the smaller AIC has the better fit.
