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Using matrix theory,we present a sharp upper bound on the spectral radius of digraph s and strongly connected diagraphs.

利用矩阵理论,给出了简单有向图的谱半径可达上界和强连通有向图的谱半径上界

In order to deal with the irregular cross section of the milling cutter, the cutter effective cross section coefficient and effective radius coefficient are introduced to determine the inherent frequency of cutters for various cantilever lengths and radii.

针对铣刀刀杆截面形状不规则的特点,引入截面系数和有效半径系数的概念,提出了不同悬臂长度和半径的铣刀刀杆固有频率计算方法。

Test and analysis show that, the distribution patterns of the tangent veloctiy fields in the big cone area and the small cone area, which are comprised of para-free vortex and para-forced vortex, are basically identical without a change of the radius of the boundary surface; with the increase of the angle of the small cone, the para-free vortex area decreases and the para-forced vortex area increases, and the emulsifiability of the fluid drips increases with the increase of velocity gradient; the tangent velocity increases with the increase of inlet flow, and the maximum tangent velocities of both the big cone area and the small cone area are 4.94 times of the inlet flow; and the maximum tangent velocity increases with the increase of the split ratio and with the radius of the boundary surface not changed.

试验分析表明,大锥段和小锥段切向速度分布规律基本相同,均由准自由涡和准强制涡构成,分界面半径rm没有变化;随着小锥角θ的增加,准自由涡区缩小,准强制涡区扩大,速度梯度增加会加大液滴的乳化程度;随入口流量增加,切向速度增大,经拟合得出大锥段和小锥段的最大切向速度均为入口流量的4.94倍;分流比加大,分界面半径基本不变,最大切向速度增加。

In the paper, a mathematical model of quadrant detector output signal was established by light energy integral.

通过光能积分建立象限探测器输出信号数学模型,分析了输出信号线性特性与光斑和光敏面半径比、信号采样精度、象限间光电特性均匀性等之间的关系,给出对应探测器输出最优线性特性的光斑和光敏面半径比值,采用分段线性化方法拟合探测器输出特性参数。

Saturn's equatorial and polar radius of over 6,000 km radius difference.

土星的赤道半径和极半径相差6000多千米。

A fundamental parameter used in eclipse predictions is the Moon's radius k, expressed in units of Earth's equatorial radius.

日食预报的基本参数是月球半径K,其是由地球赤道半径来表示。

The WGS 84 Datum is generally accepted as the best simple mathematical model for the overall shape of the earth, and is an ellipsoid with an equatorial radius of 6378.1370 km and a polar radius of 6356.7523 km, and is centred on the earth's centre and orientated to the spin axis.

WGS 84基准﹙ WGS 84 Datum ﹚被普遍接受为地球整体形状之最简单数学模型,是一个赤道半径﹙ equatorial radius ﹚ 6378.1370公里和北极半径﹙ polar radius ﹚ 6356.7523公里之椭球﹙ ellipsoid ﹚,以地球的中心为中心点,并定位於﹙ orientated to ﹚自转轴﹙ spin axis ﹚。

At the second step, the size of the cutter is computed by the minimum concave radius of curvature estimated by the Euler formula.

根据欧拉方程估算零件的最小曲率半径以确定区域补加工的刀具半径,用二分法估算用于清根补加工的一系列刀具直径。

In chapter 3,we prove that a complete noncompact n-dimensional Riemannian manifold M whose Ricci curvature Ric_M ≥(n- 1) has finite topological type or diffeomorphic to R~n if its Excess function has some upper bound at a point.

第三章,我们证明了对于Ricci曲率Ric_M≥-(n-1)的完备非紧n维Riemann流形M,若它的共轭半径有正的下界且共轭半径的某个函数为M在某一点的Excess的上界时,它就有有限拓扑型或者微分同胚于n维欧几里德空间。

A straight line that passes through the exterior end point of a radius and is perpendicular to the radius is a tangent line of the circle.

经过半径的外端且垂直于这条半径的直线是圆的切线。

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In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是,在否定句或疑问句里,这种带有"do"的方法表达的效果却没有什么强调的意思。

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