指数函数

While the standard Airy function, used frequently in the uniform asymptotic formulas for classical orthogonal polynomials, behaves like the exponential function on one side and the trigonometric functions on the other side of an extreme zero,the q-Airy polynomial behaves like the q-Airy function on one side and the q-Theta function on the other side.

在经典正交多项式的一致渐近公式中我们通常要用到Airy函数，这个Airy函数在一个极端零点的一边表现为指数函数，另一边又表现为三角函数。同样地，q-Airy多项式在一边表现为q-Airy函数，另一边又表现为q-Theta函数。

In nine observations and mensurations from 3 June to 7 July, the relationship of fresh, dry biomass and diameter of fruits took on some rules in east, south, west and north, namely, and power or exponential allometry, and linear isogony, which were significant and very significant.

自6月3日至7月7日9次观查和测定中，在东、南、西和北四个方位上，黄刺玫的果实干鲜重和其果球径间的关系均呈一定的规律性变化，或呈幂函数或指数函数的异速生长或呈直线函数的同速生长，且均达到显著或极显著水平。

The value of the exponential function at argument x.

参数为x的情形下指数函数的数值。

Assuming that the elastic modulus was the exponential function of special coordinates and the Possion＇ s ratio was constant, the higher order asymptotic stress fields near the crack tip for the mode Ⅰ crack in the FGM were considered.

假设弹性模量是空间坐标的指数函数，泊松比恒定，对于功能梯度材料中的Ⅰ型裂纹，裂纹尖端应力的高阶渐近场被研究。

By regression analysis of the obtained data, a relationship has been found between the bath depth and ingot height, which can be expressed by an exponential function, h(0,Y)=A e-B/Y, where A is the asymptotic value of the exponential function (when Y→∞hmax=A), B is a shape coefficient of the curve.

通过对已得数据的回归处理，找出了熔池深度h及锭高Y间的相关规律，得到h_(0，Y)=A·e_的指数函数关系，A是指数方程的渐近线，当Y+∞时h_(max=A是曲线形状系数。A和B均为重熔电流的函数，A=f_1，B=f_2，所以，h_(0，Y)=f_3。

In this paper, an important property and a theorem have been given about the matrix Thiele's continued fraction which is used to approximate the function of e. Based on the property, the Thiele algorithm is improved. A numeral example is also provided.

文章利用代数知识给出了矩阵指数函数e的连分式逼近函数的一个重要性质和定理，并在此基础上对矩阵指数函数e的连分式算法进行改进，最后用数值例子来验证其可行性。

Relative positive temperature-gradient applicable for China is discussed, it proves that positive temperature-gradient can be expressed as exponential curve.

研究了我国公路桥梁混凝土箱梁的正温度梯度，证明其可以用指数函数来表达，并提出了本桥混凝土箱梁的正温度梯度指数函数表达式。

Based on the concrete exponential function damage model, a concrete temperature damage model is established.

在河海大学徐道远教授提出的混凝土指数函数损伤模型的基础上，建立了混凝土指数函数温度损伤模型。

Calculating the functions of the matrix exponential e has special significance in the theory of linear systems and the theory of semi-groups. Especially, in the modern control theory, no matter the equation is homogeneous or non-homogeneous, the result depends on the calculation of the matrix exponential e.

矩阵指数函数e的计算在线性系统理论及半群理论中有着特殊的作用，在现代控制理论中，无论是齐次方程还是非齐次方程的求解，主要取决于矩阵指数函数e的计算和近似。

The relationshipbetween the vernalization effectiveness and temperature was described with sine-exponential,linear and cosine-exponential functions.

以正弦指数函数、线性函数和余弦指数函数这三段函数来描述春化效应与温度的关系。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。