调和函数

Taking beam with rectangular section as an example, the corresponding analytical solution of beam subjected to cosine distribution pressure is given through constructing the stress function satisfying all boundary conditions and biharmonic equation , which is a base of beam subjected to arbitrary distribution pressure.

以矩形截面简支梁为例，通过构造一个满足所有边界条件和双调和方程的应力函数，给出了梁受余弦分布力作用情况下相应的解析解，这为求解梁受任意分布压力作用下解的问题打下了基础

Owing to the anisotropic and the biharmonic nature of microwave radar backscatter on spaceborne scatterometer, and to the scatter model function nolinear and the existence of various noise sources in the measurements in addition to the model function, the

由于卫星散射计探视雷达回波的各向异性的双调和性质，同时由于散射物理模型函数的非线性及信号中存在噪声，使得常规点方式风场反演中风向有多至4个解的多解存在。

Owing to the anisotropic and the biharmonic nature of microwave radar backscatter on spaceborne scatterometer, moreover, scatter model function nonlinear and the existence of various noise sources in the measurements in addition to the model function, the retrieval wind results consist of as many as four wind directions.

摘 要 由于卫星散射计探视雷达回波的各向异性的双调和性质，同时由于散射物理模型函数的非线性及信号中存在噪声，使得常规点方式风场反演中风向有多至4个解的多解存在。

It is the well-known Lame's formulas for the stresses in a hollow circular cylinder subjected to uniform pressures.

在此 ，针对实际问题的需要，在三维空间中构建了一个既满足双调和方程又满足边界条件的新应力函数，推导出厚壁

With the help of the Mountain-Pass Theorem lacking Palais-Smale compactness condition (PSc condition and by adoption of the best attained function of Sobolev embedding, the paper proves the existence of nontrivial solutions of two classes of critical biharmonic equations on boundary conditions by overcoming serial difficulties caused by loss of compactness due to Sobolev embedding.

本文借助于没有 PS 条件的翻山引理，并利用 Sobolev 嵌入的最佳达到函数，克服了由于 Sobolev 嵌入失紧性而带来的系列困难，证明了含临界增长的两类双调和方程边值问题非平凡解的存在性。

Crossing composite BP network ; activation function ; study algorithm

调和的复合BP网络；激活函数；学习算法

The relationship between barotropic tidal currents and sea level were established for the first 45-day period using the transfer functions and harmonic analysis, and then carry the prediction for the second 45-day period. There is very good agreement between the observed and predicted semidiurnal tidal current, the rms error is less than 3 cm s-1. However, prediction on diurnal tidal current is rather disappointing, the rms error is about 19 cm s-1, suggesting strong baroclinic tidal component may have a significant contribution to the tidal current, which is not registered in the sea level records.

利用转换函数与调和分析两种方法，验证水位预报正压潮流的可行性，将观测资料分为等长的两段时期，藉由第一段时期约45天的正压潮流与水位的关系，预报下一段时期约45天的正压潮流，结果显示半日潮流的观测值与预报值大致符合，其均方根约在3公分/秒以下；但是全日潮流的观测值与预报值的差异大，其均方根最大可达到约19公分/秒，推测其原因为斜压潮分量大而影响潮流，但是不会对水位资料造成影响。

Multivariate hypergeometric functions, multivariate Jacobi polynomials and h-harmonic polynomials connected with root systems and Coxeter groups are introduced.

多元超几何函数，多元Jacobi多项式和h与根系考克斯特集团有关的调和多项式介绍。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。