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A more general example is the space of functions on an algebraic loop.
More general example is given by the Riesz-Fischer monotone spaces as in [3], p.305.
Next, we shall further consider a more general example as a complement of Example 2.
A more general example, to which considerable space is devoted in Chapter 3 of Bridges and Vîță 2011, is a uniform space, whose definition we pass over here.
A more general example of kernel K is to take K ( s, u ) : = δ ( s − ψ ( u ) ), where ψ is a given increasing function.
A more general example of such a structure (than the present pathway-based hierarchy) involves, for a given gene set, a tree structure based on a gene ontology (GO) [ 12] tree, which will be studied in future work.
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But for more general examples we have to cope with such jumps in the relative permittivities.
In subsequent sections three more general examples of this type of analysis for which equilibrium states occur are addressed: for a scaled sum combination function (Sect. 4), for Hebbian learning (Sect. 5), and for dynamic networks based on the homophily principle (Sect. 6).
For example, in a more general case, as illustrated in Fig. 4, the impact curve (in red) may be above the neutral line in certain x range, whilst below the neutral line in other x range.
Observe that to guarantee the existence and uniqueness of a solution of the problem (1.1), one has to impose conditions on the operator A and g, see [3] for example in a more general case.
However, it is worth knowing that to guarantee the existence and uniqueness of a solution of the problem (1.1), one has to impose some conditions on the operator A and g (see [13] for an example in a more general case).
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