勒让德变换

By using Legendre transformation, the Hamilton mixed energy variational principle is established and semi-analytical solution of electric-magnetic theory is presented.

同时，利用勒让德变换给出Hamilton型混合能变分原理，并在此基础上建立电磁理论的半解析的数值解法。

According to differentiable manifolds theory, the paper discusses tile Legendre transformation of the Pfaffian form, introdues the operator of the Legendre transformation, derives the relation between the Legendre transformation and the partial differentiation and proves three law s.

从微分流形理论出发，讨论了Pfaff形式的勒让德变换；引入了勒让德变换算子；给出了勒让德变换与偏微商的关系；证明了两个定理和一个引理。

In this paper, we present a different approach, in which an approximation to the complex exponentials of Legendre polynomials is combined with FFT to compute the NUFT.

该文提出一种通过将快速傅里叶变换与复指数的勒让德多项式展开结合起来计算非均匀傅里叶变换的新方法，该方法具有快速、数据不依赖的特点。

However, we can change the variables to q,P and t by a procedure of legendre transformation and we can't find a way to change them to p,q,t.

6楼数学上说，pdq-Hdt=PdQ-H'dt+dF决定了F，我们可以用勒让德变换把它变成q，P的，但没法再变成p，q的了。

Cynanchum Lingtai apricot production in the average weight 65 grams, the brightly-colored fruit, juicy rich, sweet-sour taste, sweet from the nucleolus, when the late Qing Dynasty famous Shaanxi, Gansu provinces, the Qing imperial court Tongzhi tribute for years.

灵台生产的牛心杏平均单果重65克，果实色泽鲜艳，汁多味浓，甜酸适口，离核仁甜，清末时就驰名陕、甘两省，清同治年间曾为朝廷贡品。

Chenopodium album,Solanum nigrum, and Amaranthus retroflexus were very susceptible to the herbicides. Polygonum persicaria and Abutilon theophrasti were relatively less susceptible to the herbicides, and Lycopersicon esculentum was not susceptible to it. The relationship between reduction rates of weed biomass and PPM values of weed leaves 2,4, and 6 days after treatment was established.

供试的6种杂草对该混剂的敏感性存在显著差异：红心藜Chenopodium album、龙葵Solanum nigrum和反枝苋Amaranthus retroflexus对该混剂最敏感，ED90值分别为47.65、71.67和29.17g/hm2；春蓼Polygonum persicaria和苘麻Abutilon theophrasti敏感，ED90值分别为96.91、114.20g/hm2；而番茄不敏感。