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It is shown by a few examples for problems with NBCs that but formulae (5.26) can be applied to a very wide class of problems with various boundary conditions as well as additional conditions.
Examples for problems which require outside properties computation and adhere to the VMT requirements are the RNA Base Pair Binding Probabilities problem [ 10] (described in Appendix A) and the WCFG Inside-Outside problem [ 43].
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Numerical examples, especially for problems related to long-term integration and stochastic discontinuity, are presented.
For example, for problem (1.1) Ye and Tang [8] considered the existence and multiplicity solutions by using the mountain pass theorem when the potential (V x)) is a positive function.
As example, for problem P1 a number of 150 particles randomly initialized were used.
The features of the scheme are demonstrated through numerical examples for transient problems and steady states.
Another example for potential problems at the interface between science and flight regulations is the working hours limit for pilots, which may not exceed 14 hours per day.
Examples for sample adaption problems are presented and discussed.
The accuracy of the sensitivity analysis methods are studied by numerical examples for three-dimensional problems.
Support vector machines (SVMs) are computational algorithms that can learn from training examples for binary classification problems.
The Working Time Directive, for example, causes problems for junior doctors.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com