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Eventually, Mr. Timpson said, there could be hundreds of the alliances since I.B.M is working systematically to fill in every market segment on a giant "solutions map," an elaborate grid that breaks down the world by industry, type of business problem the software addresses and whether or not the customer is a large company.
Some could still be visualised as shapes – such as the equations whose set of solutions map out the surface of a ring, known as a torus – but many of them were beyond what we can picture and only accessible by algebra and a very stretched imagination.
Then, by the definition of upper semicontinuity, it follows readily that the solutions map is u.s.c on.
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Then the solution map (S_{f}) is lsc at λ̄.
Let (S_{f}:Lambdarightarrow2^{X}) be the solution map of (LQEP).
Such a result implies that the solution map itself is discontinuous in ˙B−1,∞∞ at the origin.
The solution map (T:varphirightarrow u) is an analytic map on (H^{s}).
Sensitivity analysis provides quantitative information as regards the solution map of a parameterized multiobjective optimization problem.
More specifically, the initial-condition-to-solution map, in finite time, can be discontinuous.
For each, we denote the solution map of (PWVVI) by, that is, (1.1).
In this section, we mainly discuss the upper semicontinuity of the solution map for (PWVVI).
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