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The product of Fourier series and a finite sum of complex Gaussian functions is used to approximate the window function of a hard-edged aperture, an improved algorithm for the beam propagation through a paraxial ABCD optical system with hard-edged aperture is proposed.

使用傅里叶级数与有限个复高斯函数之和的乘积作为硬边光阑的窗口函数的近似式,提出了含硬边光阑近轴ABCD光学系统对光束变换的改进算法。

Firstly, the equation for stress intensity factors under static uniform pressure is used as the reference case, and then the weight function for a thick-walled cylinder containing a radial edge crack can be worked out. Secondly, the dynamic stresses in uncracked thick-walled cylinders are solved under internal impulsive pressure by using mode shape function method. The solution consists of a quasi-static solution satisfying inhomogeneous boundary conditions and a dynamic solution satisfying homogeneous boundary conditions, and the history and distribution of dynamic stresses in thick-walled cylinders are derived in terms of Fourier–Bessel series. Finally, the dynamic stress intensity factor equations for thick-walled cylinder containing a radial edge crack subjected to internal impulsive pressure are given by dynamic weight function method.

首先采用静态内压下的应力强度因子作为参考解,得到了带径向边裂纹厚壁圆筒的权函数;然后用振型函数方法推导无裂纹厚壁圆筒在冲击内压下的动应力响应,分析中将相应的弹性动力学方程解分为满足非齐次边界条件的准静态解和满足齐次边界条件的动态解的叠加,利用傅立叶-贝塞尔级数展开,推导出了厚壁圆筒内动应力的响应历程和分布规律;最后由动应力权函数方法导出带径向边裂纹厚壁筒在冲击内压下的动态应力强度因子计算公式。

XRD,X-ray EDS analysis,AFM and Fourier transform infrared spectroscopy were employed to characterize PbSe thin films. The results show that all of the films were heteromorphy and the growth temperature has effect to the diffract peaks of the films. The contents of PbSe thin films by PLD consisted with the targets,and realizing thin films deposited with same constitutes; the films had rather flatness surface and compact structure; the peak-to-tail roughness of PbSe thin films surfaces was less than 200nm;they had sensitivity to light of a specified wavelength and obvious absorption edge at 5μm corresponding to band-gap width of PbSe thin films;light of wavelength less than 5μm was strongly absorbed.

通过脉冲激光沉积法在Si(111)和SiO2玻璃基片上制备了PbSe薄膜。X射线衍射、X射线能谱、原子力显微镜、傅里叶变换红外光谱仪测试结果表明:所有制备的薄膜都为多晶薄膜,发现薄膜生长温度对薄膜衍射峰有一定影响;PLD法制备的薄膜的成分与靶材的基本一致,实现了同组分沉积;所有薄膜表面比较平滑,表面不平整度小于200nm,结构比较致密;PbSe薄膜对红外光具有敏感的响应特性;在波长为5μm处存在有明显的吸收边,此吸收边对应于直接带隙PbSe材料的禁带宽度;对应于波长小于5μm的红外光,PbSe薄膜存在有明显的强吸收。

At the beginning of fourth chapter, the article transforms the solving problem of partial differential equation for the American put price into a standard initial and boundary value problem of Parabolic Type by making some transformations.

在第四章,对美式看跌期权价格所满足的偏微分方程定解问题通过作一系列变换,使之转化为一个标准的抛物型初、边值问题,接着又通过傅里叶变换,把抛物型初、边值问题转换为一个关于时间变量的常微分方程初值问题,然后再分别利用改进的欧拉法和有限元法对其进行了求解。

Culm sheaths purple-red or pale purple-red, with purple-brown margins, densely purple-brown spotted, thinly white powdery, glabrous; auricles and oral setae absent; ligule purple-brown, arcuate, broad, with long, purple-red cilia, blade reflexed, green with red-yellow margins, linear, flat or weakly crinkled.

竿箨紫红色或者浅紫色红,带有紫褐色边,浓密紫褐色认出,稀疏白色粉状,无毛;叶耳和口头的刚毛无;叶舌紫褐色,弧曲,宽,有长时间,紫红色cilia,由于红黄空白边反折,绿色,线,平或者身体虚弱的叶片出现皱纹。

However, it is preferred that the terminal edge 30b of outlet channel 30a is in facing engagement with the inner surface in registry with a peripheral edge of the louvered vent 16a to urge air directly out of the air outlet 16 from the housing 12 to improve airflow through the airflow path.

然而,优选地,出口通道30a的终结边30b与内表面相接合,并与百叶式通风口16a的外围边配准,以便推动空气直接从外壳12经空气出口16流出,从而改善经过气流通路的空气流。

Stems angular, glabrous. Radical leaves: stipules brown, membranous, abaxially glabrous; petiole glabrous; leaf blade with 7–9 pairs of leaflets; leaflets petiolulate, green on both surfaces, fasciated or fasciated lanceolate, 5–7 × 1.5–1.7 cm, both surfaces glabrous, base subcordate to obliquely truncate or rounded, margin acutely incised serrate, apex rounded to acute; cauline leaves: stipules green, falcate, herbaceous, margin incised serrate; leaf blade resembling that of radical leaves but leaflets fewer and narrower higher up stem.

茎具角,无毛;胚根叶:托叶使成褐色,膜,背面无毛;叶柄无毛;叶片具7-9对小叶;具小叶柄的小叶,绿色在两面,扁化或者扁化, 5-7 * 1.5-1.7 厘米,两面无毛,基部近心形在斜截形或圆形,边缘尖锐锐裂状锯齿,先端圆形的到锐尖;茎生叶托叶绿色,镰刀形,草本,给锐裂状锯齿镶边;叶片象胚根叶的那但是高的更少和狭窄的小叶向上茎。

Leaves directed forward and closely appressed on upper side of branchlets, spreading and almost pectinately arranged on lower side, not parallel sided; seed scales at middle of cones obovate-oblong or rhombic, distal margin usually recurved, sometimes elo

向前指引的叶和在上面边的小枝上接近贴伏,平展和几乎pectinately排列在下部边,不与被站在一起相似;种鳞孢子叶球倒卵状长圆形或菱形,下弯的上部边缘通常,有时elo的在中部 15 Picea brachytyla 麦吊云杉

Drosera indica is found in Africa, Australia, India (the name indica is derived from India). The plant is naturally found along ephemeral creeks on sandy soil. Forms vary mostly in plant and flower color. Plants can be green or red, and flowers may be either white, pink, or orange.

长叶茅膏菜发现於非洲、澳洲、印度(长叶茅膏菜的种名&indica&就是衍生自印度&India&),野生长叶茅膏菜生长在小溪边的沙质地,主要的型态差异在於花和植株,植株有红色或绿色,花则有白色、粉红色或橘色。D。

Basal leaves rosulate, persistent; petiole to 6 cm; leaf blade oblong or oblong-spatulate, rarely linear-oblong,(0.3-)0.6-1.7(-1.9) cm × 1.5-4 mm, densely tomentose with 4-6-rayed stellate trichomes 1 or more rays of which forked or with a lateral branch on each side, base attenuate or cuneate, margin entire, apex obtuse. Cauline leaves absent or rarely 1, sessile; leaf blade oblong, tomentose as basal leaves, margin entire, apex obtuse.

基生叶莲座状,宿存;叶柄长达6厘米;叶片长圆形或长圆形匙形,很少线状长圆形,(0.3-)0.6-1.7(-1.9)厘米×-4毫米,密被绒毛具4-6伞辐星状毛1或更多伞辐那分叉或具侧枝在每边,茎生叶缺席的或很少1,无柄;叶片长圆形,象基生叶一样被绒毛,边缘全缘,先端钝。

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According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm~150rpm时取得最大值,此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世,形体几无变化。

When I was in school, the rabbi explained everythingin the Bible two different ways.

当我上学的时候,老师解释《圣经》用两种不同的方法。