第一节我们给出了多元正交多项式再生核的一个广义极小性质。
In the first section, we give out a generalised minimum property of then-th reproducing kernel of the multivariate orthogonal polynomials.
利用再生核理论和有限差分法给出了一种计算欧拉方程组的新方法。
A new method for calculating Euler equations is presented by means of the theory of reproducing kernel space and finite difference method.
基于再生核方法，温度分布的精确表达式和稳定的数值算法被给出。
The exact expression for the solution and stable numerical algorithm are given based on the reproducing kernel method.
利用再生核理论和有限差分法给出了一种计算欧拉方程组的新方法 。
The governing equation is 3D Euler equations, which is solved by the finite volume method.
对于积分方程应用再生核解法进行求解，并应用数学软件进行数值求解。
As the integral equation, the authors use the reproducing kernel method to seek the solution, and seek the numerical solution by the Mathematic software.
第一章研究了一类二阶抛物型方程组的一种新数值方法-再生核函数法。
In Chapter One, a new method of approximating the solution of second-order parabolic system using reproducing kernel function is devised.
基于再生核理论给出了对轮动式移动机器人轨迹跟踪控制问题的一种新的解决方法。
A new method for trajectory tracking of wheeled mobile robots is presented based on the theory of reproducing kernel.
得到了波动方程的解的反演公式及等距等式，为再生核理论的应用提供了新的思路。
Then we prove the isometrical identity and inversion formula of the solution of the wave equation.
针对平整坡面上行驶的月球车，研究了基于再生核理论的月球车轨迹跟踪控制新方法。
For lunar rover running on the planar slope, a new method for trajectory tracking of lunar rover was developed based on the theory of reproducing kernel.
首先，通过对再生核的研究，给出了小波级数的部分和在跳跃间断点处的收敛性与再生核之间的关系的等价命题。
First, by studying the producing kernel, equivalent positions of the relation between the convergence of partial sums of wavelet expansions at jumping points and producing kernel are given.
应用再生核方法求解叶轮机粘性流场是一种新颖的解析数值方法，它可以解决计算中的存贮、计算速度和精度问题。
A new restoring analytic numerical method based on application of the method of restoring nucleus is developed for solution of viscous flow field in turbine.
我们将详细的讨论核心课程中十分重要的特质，其引导出再生核希尔伯特空间理论(RKHS)中一个非常关键的概念。
We discuss at length the properties of a very important class of kernels which lead to the key notion of Reproducing kernel Hilbert Space (RKHS).
通过给出橡胶梁弯曲变形的数值算例，说明再生核粒子方法在解决大变形等工程问题上有着精度高，自适应能力强等特点。
Finally, a numerical instance of rubber beam bending deformation is given to demonstrate that the method is highly accurate and self-adaptive in solving large deformation engineering problems.
淋巴细胞的激活以及肝脏的再生都与溶酶体在核周的集聚有关。
Activation of lymphocytes and liver regeneration both involve perinuclear clustering of lysosmes.
探讨预先电刺激小脑顶核（FNS）对大鼠心肌梗死（MI）后心脏神经再生的干预作用。
We investigated the effects of fastigial nucleus electro-stimulation(FNS) in advance on cardiac nerve regeneration after myocardial infarction(MI) in rats.
以反向核不育水稻品系FHS为研究材料，对其成熟胚愈伤组织的诱导及其再生条件进行了研究。
The culture condition of callus formation and plantlet regeneration of revers genic sterile rice variety FHS was studied.
结论：TP治疗可增加伤后面神经核内NFP200的含量，因而有助于面神经损伤后的修复与再生。
Conclusion: TP is helpful for repair and regeneration of the injured facial nerve for it can increase the content of NFP200 in facial nucleus after injury.
用荧光金逆行标记法观察大脑感觉运动区和脑干红核的神经元神经纤维再生；
The nerve fiber regeneration of neurons at sensorimotor area and rubrum nuclei in brain was observed with retrograde tracing of fluorogold;
网织红细胞和有核红细胞是不成熟的红细胞，高数量表示再生性贫血。
Reticulocytes and nucleated red blood cells are immature red blood cells. High levels indicate a regenerative anemia.
对部分经潮霉素筛选得到的再生植株进行了多次重复P CR检测，发现其中40 %以上的潮霉素抗性植株均表现出较强的阳性反应，初步证明几丁质酶基因已整合到油菜细胞核基因组中。
PCR test of the resistant plants indicated that 40% of the Hyg-resistant plants showed strong positive reaction, suggesting that chitinase gene had been integrated into the genome of rapeseed.
对部分经潮霉素筛选得到的再生植株进行了多次重复P CR检测，发现其中40 %以上的潮霉素抗性植株均表现出较强的阳性反应，初步证明几丁质酶基因已整合到油菜细胞核基因组中。
PCR test of the resistant plants indicated that 40% of the Hyg-resistant plants showed strong positive reaction, suggesting that chitinase gene had been integrated into the genome of rapeseed.
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