唯一解

Finally by constructing an auxiliary problem, using addition theorem and applying an iterative process based on results obtained for the linear problem, the existence and uniqueness of the weak generalized solution of the nonlinear problem is proved.

解决了线性问题后，本文构造了辅助问题，利用迭加原理，并基于线性问题的主要结论运用迭代过程，最终证明非线性问题存在唯一广义弱解。

For the DNLSE with NVBC, a simple adapted IST was recently derived by introducing an affine parameter, yielding a much simpler one-soliton solution. All previous researches demonstrate that, in known (1+1) dimensional one-component integrable systems, the DNLSE with NVBC is a rare instance simultaneously admitting bright solitons, dark solitons, as well as their bound states.

它是目前已知有物理意义的(1+1)维单分量可积系统中，唯一同时存在亮、暗孤子以及呼吸子型亮—暗孤子束缚对的系统，通过该模型研究亮暗孤子间的碰撞很有意义，为此需要得到多孤子解。

In this paper, multivariate Lagrange interpolation problems are systemically discussed,and through amending Cramer Strange Proposition and proving interpolation theory, the geometry construction of the properly posed sets of nodes along the plane algebraic curve is studied, at the same time, a number of practical constructing methods are given.

本文系统阐述了多元Lagrange插值问题，通过修正Cramer奇论并用插值法加以证明，进一步对沿平面代数曲线插值唯一可解点组的几何结构进行深入的研究，同时得到了一些实用性较强的构造方法。

I was like a drug deep, you are the only antidote, you do not give

我就像一个吸毒很深的人，你才是唯一的解药，你不给

This is the only antiepileptic treatment currently available in an orally disintegrating formulation.

这是目前唯一一个被FDA认可的用于治疗癫痫的口腔崩解制剂。

This paper was concerned with a one-dimensional linear wave equation associated with nonlinear boundary conditions.

文章里证明了一类一维线性波动方程，在非线性边界条件下，存在唯一的局部解。

Though comparing Canny operator and center B spline dyadic wavelet, the following conclusion is proven in this dissertation: a Center B spline function has tight support and Canny operator hasn't. b Center B spline function asymptotic convergence to Gaussian function and the derivative of Center B spline function asymptotic convergence to Canny operator. c The derivative of fourth order center spline B function is more suitable as a optimal edge detector than Canny operator. d Center B spline function can balance the smoothing and approximation of original data, and the fourth center B spline function is the only optimal solution of two order smoothing problem. e The error between the valve of time-frequency uncertainty of the fourth center B spline function and the lower bound of time-frequency uncertainty does not exceed 0.143% of the lower bound. f The derivative of center spline B function can construct a stability dyadic wavelet and can give a fast algorithm for multiscale edge detection, but Canny operator can do neither.

作者给出了Canny算子与中心B样条二进小波严格的比较证明，得出如下结论：a中心B样条函数具有紧支集，Canny算子不具有紧支集。b中心B样条函数的极限收敛于高斯函数，中心B样条函数的导数收敛于Canny算子。c四阶中心B样条函数的导数比Canny算子更接近最佳边缘检测滤波器。d中心B样条函数比高斯函数更能兼顾对原函数平滑和逼近的折中要求，并且四阶中心B样条函数是二阶逼近问题的唯一最优解。e四阶中心B样条函数的时频测不准关系值与时频测不准关系下界的逼近误差不超过0.143％。f中心B样条函数的导数可以构成稳定的二进小波，存在快速的多尺度算法；而Canny算子不构成稳定的二进小波，无法给出快速的多尺度算法。

Based on this mechanism, a clonal selection algorithm for multi-modal function optimization has been proposed by formulating suitable clonal selection operators and introducing a new niching technology in this paper.

多目标优化问题的解不是唯一的，而是一个最优解集合。这类问题大多有较高维的搜索空间，传统的优化方法会导致很高的时间复杂性。

In Chapter 3, problems of cavitated bifurcation for a solid sphere composed of imperfect incompressible hyper-elastic materials, subjected to a surface tensile dead load, are examined.

证明了空穴分岔方程的平凡解支上存在唯一的分岔点；给出了左分岔和右分岔的判别条件，并指出了向左分岔的空穴分岔解还会发生二次转向点分岔。

At first, its influence was mainly in philosophy and literary criticism. After 1970"s, some architects attempted to apply its theory in the architecture in order to break the traditional thought. In the 80"s, deconstructionist architect Bernard Tschumi applied it to the park creation--La Villette Park that was the only deconstructionist park form in the world.

最初，它的影响主要在哲学和文学批评领域。70年代以后，一些先锋派建筑设计师试图将其理论应用于建筑设计中，以突破传统建筑设计思想。80年代，解构主义建筑师屈米又将其应用于公园的创造中，形成了目前世界上唯一的解构主义园林——巴黎拉维莱特公园。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。