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If there exists a constant k ∈ [ 0, 1 ) such that H G ( T x, T y, T z ) ≤ k G ( x, y, z ). for all x, y, z ∈ X, then T has a fixed point in X. In the following we formulate an illustrative example regarding our main theorem. Example 3.2 Let X = [ 0, 1 ], E = C [ 0, 1 ] be endowed with the strongly locally convex topology τ ( E, E ∗ ), and let P = { x ∈ E : 0 ≤ x ( t ), t ∈ [ 0, 1 ] }.

In noting the cultural diversity of Buddhism, they highlight aspects of the tradition which may help formulate an effective environmental ethics, citing examples from both Asia and the United States of socially engaged Buddhist projects to protect the environment.

As an example we formulate a conceptual simple discrete-time model and discuss a number of simulations which exemplify many observable aspects of Müllerian Mimicry.

Team members may find themselves in a remote corner of the Philippines, for example, formulating an integer programming model for scheduling a food processing factory, and teaching the plant staff how to use the model they developed.

For example, we formulate a notion of coalitional stability inspired by that of the core from conventional coalitional games, and prove that the problem of showing that the core of a qcg is non-empty is Dp1-complete.

In the third example, we formulate a sufficient condition for p-regularity ( p = 2 ), which can be tested using the notion of resultant.

But at least we are now able to formulate a series of best-practice examples, and in doing so, identify those that hold up well and those where there is room for improvement.

For example, a user can formulate a message that should be dispatched to the first doctor that enters room number 110 after 6 am.

This example allowed us to formulate a hypothesis about a new conservation mechanism in charged residues located at the interfaces.

Expectations can be intrinsic to the standardisation processes highlighted in the idiom of co-production, for example, formulating an expectation about the usefulness of a tool or a procedure, can amount to an implicit guide to others to adopt it - an example of portability in action.

More moderately, in discussing attitudes, Dennett emphasizes how the act of formulating an attitude in language for example, when ordering a menu item can involve self-attributing a degree of specification in one's attitudes that was not present before, thereby committing one to, and partially or wholly creating, the specific attitude self-ascribed (1987, 20).

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