正弦函数

By solving the SturmLiouville eigen-equation in the barycentric coordinate, the generalized sine and cosine functions in the triangular domain are constructed. Properties of these functions are systematically investigated by visualization and theoretical derivation.

本文通过求解重心坐标下的Sturm-Liouville特征方程，构造出了三角区域的广义正弦函数和广义余弦函数，并通过可视化与理论推导相结合的方法系统的研究了这两组函数的性质。

By solving the Sturm-Liouville eigen-equation in the barycentric coordinate, the generalized sine and cosine functions in the triangular domain are constructed. Properties of these functions are systematically investigated by visualization and theoretical derivation.

本文通过求解重心坐标下的Sturm-Liouville特征方程，构造出了三角区域的广义正弦函数和广义余弦函数，并通过可视化与理论推导相结合的方法系统的研究了这两组函数的性质。

The results show that relationship between flow stress and strain rate is applied to hyperbolic sine equation in the hot compressive deformation of 6061 aluminum alloy; at the same time, relationship between logarithmic hyperbolic sine of its flow stre...

研究表明，6061铝合金热压缩塑性变形时的流变应力和应变速率之间的关系满足双曲正弦函数关系式；其热压缩塑性变形时流变应力的双曲正弦对数项与绝对温度倒数之间满足线性关系，其高温压缩变形受热激活能的控制。

The inverse function of that restricted sine function is called the arcsine function.

被限定的正弦函数之反函数叫做反正弦函数。

Fourier's theorem : any periodic function can be expressed as a sum of sinusoids of appropriate amplitudes and frequencies.

付氏理论：任何周期函数均可以表示为一组正弦函数的和，正弦函数具有合适的大小和频率

It is found that the carrier phase and the parameter of sine function affect the pulse energy and the center of time gravity seriously when the pulse width is shorter than one optical oscillation period.

结果表明载波相位和正弦函数的参数对超短正弦高斯脉冲的脉冲能量和时间重心有很大的影响。

With this method, we had several important differences compared to the YDmodel. First, the ratio of daily increment of PDT and the deficit of both water and nitrogen was used to estimate the effect of environment. Second, a nonlinear function was adopted to describe vernalization and thermal effectiveness (instead of three-stage linear function). Third, sinusoidal function was used to describe photoperiod curve cluster for different cultivars.

本模型在YDmodel基础上的改进主要有3点：（1）将每日生理发育时间的增量乘以水肥丰缺因子，改为除以水肥丰缺因子表现水肥对大麦发育的影响，客观体现了大麦在水肥丰缺条件下的发育延迟或提早现象；（2）将三段线性函数改为非线性函数表达春化效应和相对热效应，确立了不同品种相对春化效应和相对热效应的曲线族；（3）将线性函数改为正弦函数表达不同品种光周期效应。

Tangent sine function with the function, structure and the cosine function linear structure, The results showed tangent curve smoothing function fitting, bending loss smaller, more optimization of the optical path.

正切函数与正弦函数、余弦函数结构以及直线结构进行比较，结果表明正切函数拟合曲线平滑，弯曲损耗较小，更优化了光路径。

In order to analyze and correct this effect, the method to calculate turn-off time is given. According to theoretical TEM response of multiturn loop source, TEM response affected by linear and half-sine turn-off current was calculated, and Taylor's series expansion was used by calculating TEM response of half-sine turn-off current. The two mode's responses, linear mode's response and half-sine mode's response, were analyzed in turn-off time 2μs-100μs.

为了分析和校正这种影响，文中给出了关断时间的计算方法，根据多匝回线源产生的瞬变场理论解析式，计算了线性和半正弦关断电流影响下瞬变场表达式，计算半正弦关断电流产生的瞬变场时将正弦函数进行泰勒展开；分析了关断时间在2 μs~100 μs之间两种关断模式产生的瞬变响应。

The total of these two sorts of functions is called S-functions The indicial function, sinusoidal function, cosinusoidal function, hyperbolic sinusoidal function, hyperbolic cosinusoidal function, trigonometric function of n-order and hyperbolic function of n-order etch are all belong to S-functions.

指数函数、正弦函数、余弦函数、双曲正弦、双曲余弦、n阶三角函数和n阶双曲函数等。都是S－函数的特殊形式。文中证明了关于S－函数及其各阶导数的性质的三个定理。

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。