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 ] }.
Most important, a general solution for forced vibration is formulated and demonstrated by an example.
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.
We will use N-methyladenosine (mA) RNA modification as an example to formulate the challenges and opportunities in identifying, on the genomic level, protein RNA interactions for RNA-modifying enzymes.
This paper takes minislot scheduling problem for IEEE 802.16 mesh networks as an example and formulates the problem as an integer linear programming model in this paper, where minislot is an atomic bandwidth allocation unit for data transmissions among subscriber stations and base station.
A computer simulation model of an example design is formulated and correlated with experiments.
A partial implementation of the proposed approaches is presented with the design of reconfigurable manufacturing systems (RMSs) as an example, which is formulated as a multi-objective optimization problem with the Genetic Algorithm (GA, particularly, NSGA-2) as the search algorithm.
Learning by reproduction of an example allows learners to understand the ideas used in formulating the example from the viewpoint of the poser.
In the next section we formulate main results and give an example for a singular differential equation with deviating argument.
The main result is formulated in Section 3, and an example is worked out in Section 4 to illustrate how to use our main result.
