查询词典 arc hyperbolic function

Based on the hyperbolic skeleton curve of Hardin-Drnevich, small strain dynamic dissipation function was formulated by adopting the Masing rule.

以Hardin-Drnevich模型的双曲骨架曲线为基础，采用Masing准则构造其滞回圈，形成小应变土体动力耗散函数。

The algorithm is implemented by Fourier transform to obtain the real part and imaginary part of voltage based on digital sampling; and by trigonometric function to gain the sine or cosine dynamically; and then by Taylor series binomial of arc sine function to acquire the actual angle.

通过对数字化采样进行傅立叶变换获得电压的实部和虚部，动态地求取相位角的正弦值或余弦值，然后采用其反函数的泰勒级数二项式得到相位角度。

Key words: artificial intelligence; particle swarm optimization; inertia weight; tangent function; arc tangent function

关键 词：人工智能；粒子群算法；惯性权重；正切函数；反正切函数

In this paper, a complex mapping function is devised to transform the contour surface of an arc crack to a unit circle on the auxiliary plane. By substituting the mapping function into it governing boundary equation, the complex stress functions can be obtained as

本文之研究方法乃是首先设计一复变函数，将原有弧形裂纹之几何形状映像至辅助平面成为一单位圆，然后再以此映像函数代入相关之边界方程式中。

Ythagorean hodograph curves enjoy a number of remarkable properties, such as, its offset curves have exact rational representations; the arc length function of a Pythagorean hodograph curve is simply a polynomial function of the curve parameter; and the lower degree Pythagorean hodograph curves have intuitive geometrical interpretation.

H曲线具有诸如有精确的有理 Offset、弧长函数可由多项式函数表示以及几何解释优美等一系列优良性质。基于复分析方法，避免了实分析讨论中出现的复杂表示及繁琐计算，构造了满足给定 C1 Hermite插值条件且以C1拼接连续的三次 PH曲线偶。该曲线偶可灵活处理拐点，从而克服了一般三次 PH曲线因恒凸而无法处理拐点的缺陷。

The implanter equipped with intense current, pulsed cathodic arc metal plasma sources which have both strong coating function and gas and metal ion implantation function. Its pulse high voltage power supply can provide big output current. It can acquire very good implantation dose uniformity.

第三代多功能等离子体浸没离子注入装置的强流脉冲阴极弧金属等离子体源既具有强的镀膜功能，同时也具有强的金属离子注入功能；它的脉冲高压电源能输出大的电流；并可获得高的注入剂量均匀性。

The sixth part: Studies on the dynamic changes of soil retention function value of ecosystem in YUYANG District. Utilized ERDAS8. 5 to interpret the remote sensing image and get LUCC data and vegetation information of YUYANG District. Utilized R2V5. 5 to digitize administrative map, topographic map, vegetation picture, soil distribution map and meteorological website map. Utilized ARCINFOR8. 3 to change every digitization layer to the same projection, to generate Tyson polygon, to structure DEM and do vector polygon overlay. Utilized ARC VIE W3. 3 to obtain the grid data topographic slope and slope length from DEM data of YUYANG District, and then, turned every coverage layer into grid layer and do grid polygon overlay to gain data about dynamic changes of value of soil retention of ecosystem in YUYANG District, at last, the author analyzed the features of the spatial-temporal changes and its reason.The seventh part: Studies on the dynamic changes of fixing drifting sand against wind function value of ecosystem in YUYANG District.

第六部分：榆阳区生态系统土壤保持功能价值动态变化研究；利用ERDAS8.5对遥感数据进行解译获得榆阳区土地利用数据和植被信息，利用R2V5.5数字化榆阳区政区图、地形图、植被图、土壤分布图及气象站点分布图，利用ARCINFOR8.3对各数字化图层进行投影转换、泰森多边形生成、DEM构建和叠加分析，利用ARCVIEW3.3从DEM数据中获取榆阳区的坡度、坡长面域数据，并将上述各图层格网化，然后通过栅格图层叠加分析和代数运算获取榆阳区生态系统土壤保持功能物质量和价值量时空动态变化数据，最后分析了其变化的时空特点及形成原因。

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。

This paper compares periodic set with almost periodic set, and properties of periodic function with that of almost periodic function through analysing the definitions of periodic function and almost perodic function, and then draws some important conclusions.

利用周期函数与概周期函数的定义，把周期函数的周期集与概周期函数的概周期集进行了比较，把周期函数与概周期函数的性质进行了比较，并得出一些重要结论。

A main feature in developing the theory is that the scope is expanding: from almost periodic function, asymptotically almost periodic function, weakly almost periodic function to pseudo almost periodic function which was introduced by Professor Zhang in 1992. Every extension consumedly enlarges the theory and their applications.

从概周期函数、渐进概周期函数、弱概周期函数，一直到张传义教授在上世纪九十年代初提出的伪概周期函数，每一次函数范围的扩展都大大地丰富了概周期函数的理论和其应用前景。

Don not attempt to do something which you can not to do.

不要企图做那些办不到的事情。

The expression of CTGF and TNF-αweredetected by immunochemistry and the number of Clara Cells was calculated.

光镜下观察肺组织的病理变化，采用免疫组化染色观察肺组织中结缔组织生长因子和肿瘤坏死因子-α的表达和Clara细胞的数量。