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Measurable functions, for example, can represent various attributes of the nodes such as income or frequency of messages in social networks.
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A communications network, for example, can be represented as a graph with each node in the network being one vertex, and a connection between two nodes depicted as an edge.
For example, the searching problem given in the motivating example can be represented as an LTL formula of ((widetilde{Dates} wedge widetilde{Sightseeing} rightarrow widetilde{Price} wedge widetilde{HotelReservation})) (wedge ) ((respTime le 30)).
With similar considerations for the above, this example can be represented by the equations of and, but now the objective to be solved becomes, which is (1 1) weight vector.
Mirrors with a single viewpoint (SVP) property [5, 6] such as hyperboloidal, paraboloidal, and a specifically designed mirror [7] for example, can be represented by a common sphere model [8] that allows effective and unified camera calibration techniques [9 18] or otherwise by approximation models [19, 20].
This simulation example can be represented by a hierarchical supply demand structure such as in Figure 4.
For example, we can represent increasing integers, starting at any first value.
And also, for this example, we can represent the region of convergence, which is the real part of s greater than minus 1.
Often, image interpretations can be expressed as graphs; for example, vertices can represent objects and edges can represent relationships between objects.
And in this respect functions differ fundamentally from numbers (p. 133)." For example, we can represent the successor function as follows, with the integers as the relevant domain for the variable 'x': S x) = x + 1.
For example, it can represent an optimal control of Darcy flows, where the primal state variable y means the pressure, the flux state variable σ stands for the velocity field, and the control variable u is an external force.
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