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In many problems, however, the constraints of the problem permit equations to be written relating at least some of these variables.
These arise in many problems where the unknown is itself a function of some variable, and especially in those parts of physics that are expressed in terms of extremal principles (such as the principle of least action).
In many problems the location of the initial point of a vector is immaterial, so that two vectors are regarded as equal if they have the same length and the same direction.
Poor handling of government contracts has resulted in many problems, such as the alleged frauds by Serco and G4S, the irregularities with A4e, the West coast mainline fiasco and, most recently, the £220m bill a tribunal ordered the UK Border Agency pay to US company Raytheon over the unlawful termination of the e-borders contract.
Non-degenerate potentials are very important in many problems.
In many problems of interest, solid objects are treated as rigid bodies in compressible flowfields.
Time delay is a natural phenomena which occurs in many problems (see [11, 12]).
In many problems, one needs to find a solution with the minimum norm.
Maximum Principle (MP) and AntiMaximum Principle (AMP) are fundamental tools in many problems.
In many problems in practice one needs to compare only one component of solution vector.
Such a type of singular systems appears in many problems of applications.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com