In this paper,a systematic direct perturbation method of dark solitons is found.Having analyzed the mistakes in earlier works on perturbation method for dark solitonsand essence of the direct perturbation method for bright solitons,we notice that to in-troduce the adjoint solutions of the squared Jost solutions and to prove the completenessare crucial to the problem.Giving up the unnecessary scheme of introducing the adjointoperator in the bright soliton case,we directly find the adjoint solutions by meetingthe demand for the orthogonality that inner product of the squared Jost solutions andits adjoint should be proportional to a δ function in the case of continuous spectra.The corresponding adjoint operator is thus found.Taking into account the reductiontransformation,we find a correct description for the completeness of the squared Jostsolutions and directly verify its validity with explicit expressions of the squared Jostsolutions.

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B The necessity of such light is evident from what has been said, for faith is essentially an act of assent, and just as assent to a series of deductive or inductive reasonings, or to intuition of first principles, would be impossible without the light of reason, so, too assent to a supernatural truth would be inconceivable without a supernatural strengthening of the natural light Quid est enim fides nisi credere quod non vides?

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As the beginning of this thesis, the important meanings of sea ice to global climate change and ocean engineering in polar and subpolar sea regions are explained firstly. Then, it is pointed out that sea ice numerical modelling, as a powerful tool of sea ice research, is limited by the precision of parameters within models instead of itself so far. It is meaningful to study the important parameters of sea ice dynamics by means of the rapidly developing digital imaging techniques so as to provide better input parameters needed in numerical models.

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The non-physical simulation mode on the base of the human body simulation based on the sports instantial data can get an excellent simulation results, and fit into the demands of the immersion, stability and real time of the system.2 Simulation of the secondary objects based on the collision detection and the application of sports instantial data.

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Instead, as in all areas of medicine, physicians need to tailor therapy to patients' specific needs. For ADHD patients who have a history of substance abuse, for example, the treating psychiatrist may want to start treatment with a nonstimulant therapy. If the treatment is not adequate, the second choice would be a long-acting stimulant coupled with rigorous monitoring."Because the stimulants used to treat ADHD are controlled substances, there is built-in monitoring," Dr. Alder said."However, we can watch such patients with extra care for warning signs such as early refills."

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Instead, as in all areas of medicine, physicians need to tailor therapy to patients' specific needs. For ADHD patients who have a history of substance abuse, for example, the treating psychiatrist may want to start treatment with a nonstimulant therapy. If the treatment is not adequate, the second choice would be a long-acting stimulant coupled with rigorous monitoring."Because the stimulants used to treat ADHD are controlled substances, there is built-in monitoring," Dr. Alder said."However, we can watch such patients with extra care for warning signs such as early refills."

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The area of the Holy Land of the ancient Hebrews, at present known as Palestine and Trans-Jordan, and the adjacent requisite regions as outlined on map, for considerations of history and the imperative necessity to alleviate a post war refugee problem, shall be unified as a demilitarized republic of %26quot;hebrewland.

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