核函数

Because the coupling condition of NNGFM arises from the net current continuity imposed at the volume element interfaces, the relatively complex conversion formulation for partial current continuity condition of NGFM is unnecessary when applying G. E. T., and computation time is saved. The coefficient matrix of the coupled equations is tridiagonal, so it can be solved by forward elimination and backward substitution method.

NNGFM的基准校验及在大庆200MW核供热堆(NHR-200)上的应用表明，NNGFM计算精度和速度与第三类边界条件格林函数节块法NGFM〓相当，在相同精度下速度比CITATION能快1000倍；NNGFM给出的本征值、功率分布较NNGFM误差能减少一半以上，为更精确计算工作期、卡棒当量提供了条件。

The non-relativistic energies and wave functions were determined by Rayleigh-Ritz method. The relativistic effects, including the correction to kinetic energy, the electron-electron contact term, and the orbit-orbit interaction, Darwin term, and mass-polarization effect on the energies were calculated by using first-order perturbation theory. In order to obtain a more accurate result for the larger Z system, the quantum-electrodynamics correction should be included. This correction to energy can be evaluated for the valence electron by using a hydrogenic formula with an effective nuclear charge, Z. The ionization potential, the excitation energies and the fine structure split-tings for a lithium-like ion with higher nuclear charge (Z=26) were calculated.

非相对论能量用Rayleigh-Ritz变分法确定，包括动能修正、电子—电子接触项、轨道—轨道相互作用项以及Darwin项的相对论修正和质量极化项由全实加关联波函数的一阶微扰给出，量子电动力学修正由有效核电荷方法和类氢公式计算；给出了较高核电荷(Z=26)类锂体系1s^2nl组态的电离能、激发能和1s^2np组态的精细结构劈裂。

At the early iteratives, the mutation rate is bigger and the aim is to make particles to explore smaller and isolate region and to avoid the algorithm trapping to the local optimum. While the algorithm runs, the mutation rate will be decreased to reduce the disturbing to the particles. IPSO adopts a new method that congregates some neighboring individuals to form multiple sub-populations in order to lead particles to explore new search space. Additionally, our algorithm incorporates a mechanism with a simple and easy penalty function based on the largest distance between the particle and the boundary of the feasible region to handle constraint.

IPSO采用了一种新型的变异策略，变异概率随着算法的运行是动态变化的：在算法运行初期，变异概率大，其目的是使算法不但能够探测到目标空间中的孤立区域，而且避免搜索陷入局部极值；在算法运行后期，变异概率逐渐变小，以减少对粒子的扰动；算法通过将部分具有邻近距离的粒子聚集成核形成多子群引导种群中粒子的飞行；采用一个简单的基于粒子与可行域边界最远距离的罚函数处理约束的机制，使得算法高效实现。

Parameter optimization, such as m, C, gama and epsilon, is extremely important for the model's prediction performance.

维数 、惩罚系数、核参数、损失函数参数等参数的优化对SVMs的预测性能有着重要的影响。

By introducing a weight function, a best extension of Hilbert integral inequlity and the reverse form are given. The constant factor of the two inequalities is proved to be the best.

引入单参数及估算权函数，给出一个核为－λ齐次的新的Hilbert型积分不等式及与之对应的逆向积分不等式，并证明这两个不等式的常数因子是最佳的。

In this thesis, a Hilbert space 〓 with reproducing kernel is e...

本文建立一个有再生核的函数Hilbert空间〓。

In this thesis, a Hilbert space 〓 with reproducing kernel is established.

本文建立一个有再生核的函数Hilbert空间〓。

The following results are presented: By the property of mean value of the holomorphic functions and the property of the reproducing kernel k_ω, we get the rank one operator k_ω?

首先，利用正规化再生核K_w的特殊性和解析函数的平均值性质，建立了秩为一的算子K_wK_w与Toeplitz算子之间的联系，把算子K_w？

Each clustered pattern set is a fuzzy set hypersphere with a corresponding membership function. A pattern class is the combination of the pattern sets.

模式集是一个具有超球核的用隶属函数表示的模糊集，模式集又可以合并成模式类。

The meson mixing effect is found to be important for both the induced current and the dielectric function.

同时我们还发现混合极化不论是对核物质中的极化流还是对介电函数都有不可忽视的贡献。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。