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The relationship between PID parameter and the root of the characteristic equation of the closed loop control system has been found out directly.

本文直接找出PID参数与闭环控制系统的特征方程的根之间的关系,只要使特征方程的根在z平面的单位圆内任意取值,然后再求出相应的PID参数,则闭环控制系统必然是稳定的。

At and , we can get a univariate cubic equation in and its three roots . By the dependence of the roots and the coefficients of the equation, we can choose corresponding space points ( such that the distance is the shortest from to the point with parameters and . Thereby we can get all the data of discrete points on the cubic curve of blending surface at . Again we denote the maximum value and minimum value of planar parameter with which meets by and respectively.

利用根与系数的连续相依性,可以选相应的空间点使其距离的圆截线上对应值的点最近的两个根,从而得到处拼接曲面的截线的离散点的数据并确定出与相截的平面参数的最大最小值类似地由处拼接曲面截线的离散数据得到处的离散数据,这样可以依次计算出拼接曲面上对应所有参数点的离散点的坐标。

By using the method for positive term resolution of equations of higher degree, all non-zero real roots of a real coefficient equation of higher degreewere obtained by determiningthe abscissas of intersection points of two monotonically increasing concave functions in the first quadrant of a planar rectangular coordinate system.

用高次方程正项分解方法,将求解实系数高次方程非零实数根的问题,转化成求解两单调上升凹函数在平面直角系第一象限内交点横坐标的等价问题;给出了基于共享存储多指令流多数据流并行计算模型求解任意实系数高次方程全部实数根的大范围收敛性异步并行迭代算法,并分析了算法计算的复杂程度。

Each root gives a reflection with respect to its hyperplane.

每个根沿著它自己的超平面又可导出一个根反射。

METHODS: Measurement of palatal raphe area first three-dimensional reconstruction of images at up to nasion plane centerline, whichever was determined as a reference surface plane, selection one point on incisor cervix in this line, to measurement of the available palatal bone height; sagittal views were selected at 6 mm dorsally from the incisive canal. The available bone height was defined as the distance from the palatal baseline (lower cortical border of the palate) to the nasal cavity (upper cortical border of the nasal cavity).

先在三维重建图像上以鼻根为准确定面中线平面为参考平面,在此线上选择1个位于中切牙牙颈部的点,在其矢状位图像上,选取位于口腔内侧骨皮质上距切牙孔后缘6 mm处为标测点,通过此点向硬腭做垂线确定腭骨厚度,测量范围自口腔内腭部骨皮质外侧边缘至鼻腔侧骨皮质外侧边缘。

A 4 regular Hamiltonian planar map is a plannar map which is both 4 regular and Hamilitonian. A nearly 4 regular map is such a map that all of its vertices but the root vertex are 4 valent.

若一个平面地图的所有顶点是四次的,且又是哈密尔顿地图,则称该平面地图为四正则哈密尔顿平面图一个地图是近四正则的,是指除去根点外,其余顶点的次均为四。

Methods:Fifty paired embalmed cadaveric humeri (twenty-five pairs:fourteen from male donors and eleven from female donors) were scanned in medial-lateral and anterior-posterior position according to the humeral retroversion by CT. Images of the humeri in the transverse planes at the lowest border of neck,20mm and 40mm distal of LBN(LBN-20、LBN-40), isthmus, head-neck anterior-posteriorwere obtained. Sixty-one extracortical and intracortical parameters were measured exactly by image analytic computer software that included offset, head position, head-shaft angle, head to tuberosity height, head thickness, curvature radius, articular surface arc, neck diameter, isthmus position, proximal and distal border of isthmus, maximum coronal and sagittal diameter of medullary canal and thickness of cortical bone in four planes, including LBN, LBN-20,LBN-40 and isthmus.

50根成对防腐肱骨(男14对,女11对)按肱骨头扭转角置于冠状位和矢状位,行肱骨全长,头颈矢状面,解剖颈下缘及其下20mm、40mm,髓腔狭窄部四平面CT扫描,由CT软件测量冠、矢状位髓腔内外参数共61项,包括头心—干轴距,头位置,头干角,头—结节高度差,头厚度,头半径,关节面张角,解剖颈直径,髓腔狭窄部位置,解剖颈下缘及其下20mm、40mm和狭窄部四个平面髓腔的最大冠、矢状径,皮质骨厚度等。

By adopting its complex variable solutions, the stress solutions of dislocation in bi-material on the whole plane were worked out, integration of which along the crack line would lead to the basic stress solutions in Cartesian and polar coordinates system of an bi-material incline crack.

应用两相材料中点位错在全平面的复势函数解,导出了两相材料中点位错在全平面的应力场解,进而将该解沿裂纹线积分得到倾斜裂纹的直角坐标及极坐标应力场基本解,同时利用该基本解退化出单根界面裂纹的直角坐标及极坐标应力场基本解。

Control point were added to the iterative process to obtain a balance between plane precision and area constraint, so that the precision of areas that did not pass the statistic test can be improved.

并藉由在迭代过程中导入图根点,取得平面精度与面积条件的平衡点,使原本无法通过统计测试的区域提高平面精度,通过统计测试。

At here, based upon designing idea of the shearing planes of left and right two shears are at ±45° with respect to main transmission plane and the combination with changeable structure, the shearing mechanism of two mutually twisted flat screw wires was designed.

在此,基于左右两把剪刀的剪切平面相对于主传动平面成±45°,以及与变结构相结合的设计理念,设计出了两根互绕扁螺旋钢丝的剪切机构。

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On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面,更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值,分为几个相等的区间作为横轴,并将各区间内所测定值依所出现的次数累积而成的面积,用柱子排起来的图形,也叫做柱状图。

You rap, you know we are not so good at rapping, huh?

你唱吧,你也知道我们并不那么擅长说唱,对吧?