距离公式

The following are the expressions for the mean pressure set up at the detection plate and for the time of the signal to progagate from the radiator to the detector:这里是1个公式,省略） where Re is the real part of the expression appearing within the braces, 0 is the density of the medium, vo is the amplitude of the vibrational velocity, c is the speed of sound in the medium, d2 = I +(r/zcos 8, z is the distance between the emitting and receiving plates, B is the angle between the axis of the acoustic channel and the axis of the tube, r = vro/c, v is the flow speed of the fluid, d is the diameter of the pipe, m is the circular frequency, k is the wave number, where a is the radius of the plate (this is taken as the same for the emitting and receiving plates for simplicity, but there is no difficulty in discussing plates differ~mg in radii),,~ is the vibrational frequency of the emitting plate, and The triple sums in the expressions for N~ and N2 may be neglected if the flow speed is low, since the contributions for these become negligible.

以下的表情为代表的压力设置在检测板甲，手持骑枪和时间的信号 progagate从散热器排出到检测器(这里是1个公式、省略)。在什么地方才是真正的出现在背带，表现为0密度的吗当时的媒介的振幅振动速度、c是声音的速度中、d2 =我+ r / z，8、z是距离的发射和接收板、B之间的角度对声信道和轴轴管，r = vro / c，v的流体的流动速率公式，d 管直径的圆频率，m，凯西是波数公式* n，一个是半径的板(这是作为相同的发射和接收吗为了简单，但板板是毫无困难地讨论不同半径)、镁-，~的振动频率的发光，。总结了三倍的表达方式和N2 ~能忽略的流量速度低，因为这些变得微不足道的贡献。

The following are the expressionsfor the mean pressure set up at the detection plate and for the time of the signal toprogagate from the radiator to the detector:这里是1个公式,省略） where Re is the real part of the expression appearing within the braces, 0 is the density ofthe medium, vo is the amplitude of the vibrational velocity, c is the speed of sound in themedium, d2 = I +(r/zcos 8, z is the distance between the emitting and receiving plates, B is the angle between the axis of the acoustic channel andthe axis of the tube, r = vro/c, v is the flow speed of the fluid, d is thediameter of the pipe, m is the circular frequency, k is the wave number,where a is the radius of the plate (this is taken as the same for the emitting and receivingplates for simplicity, but there is no difficulty in discussing plates differ~mg in radii),,~ is the vibrational frequency of the emitting plate, andThe triple sums in the expressions for N~ and N2 may be neglected if the flow speed islow, since the contributions for these become negligible.

以下是表达式平均压力为定于检测板和为信号时间progagate从散热器到探测器：（这里是1个公式，省略）假如再是出现在大括号表达式的实部，0是密度中期，沃是速度的振动幅度，C是健全的速度中，D2中=我+的导向8，z是对之间的距离发射与接收板，B是声之间的通道轴角该管的轴，R =中心内大多分为/荤，v是流体的流动速度，，D是管道直径，m是圆频率，k是波数，的其中一盘是半径（这是为重点，同样的发射与接收为le简单板，但没有讨论板的困难，在半径不同毫克），，是发光板振动频率，和在N的表达式的三重总结和N2可以忽略，如果流速低，因为这些变得微不足道的贡献。

According to the division principle of flue gas sampling point in round stack,the paper gives a convenient and prac-tical formula of the dixtance from sampling point to inwall and corrects the errors in table of the distance value from sampling point to in wall in the published literatures.

本文根据圆形烟道采样点划分原则，给出了一种方便适用的采样点距烟道内壁的距离公式，并就现有文献中采样点距烟道内壁的距离值表格的误差进行了修正。

The evaluation method and algorithm of shape error (roundness, plane straightness, space straightness, cylindricity) were discussed. A new kind of algorithm, namely mesh searching method, which can be used to evaluate the roundness error, plane straightness error, space straightness error and cylindricity error, were put forward. With this algorithm, the shape error can be obtained by transferring the distance formula repeatedly and simple judgment without linearzing the distance formula (from point to point or point to line) and choosing optimal direction and step length.

对形状误差(圆度、平面直线度、空间直线度、圆柱度)的评定方法及算法进行了讨论，提出了一种评价圆度误差、平面直线度误差、空间直线度误差及圆柱度误差的新算法——网格搜索法，该算法不需要对距离公式线性化，也不需要选定优化方向和优化步长，只需重复调用距离公式和简单的判断即可得到符合定义的形状误差。

In this paper,an uniform and intuitional method is given to get the spatial distance including the distance between the space point and the plane,the distance between the space point and the beeline,and two beelines which are not in the same plane.

点到平面的距离、点到直线的距离以及两条异面直线间的距离是空间解析几何部分要解决的3个距离问题，一般教材[1~2]都采用向量方法推导相应的距离公式。

The distance equation form dot to straight line is a basic equation for analytic geometry. This paper presents some deductions form angles.

点到直线的距离公式是解析几何中的一个基本公式，本文从不同角度对这一公式给出了几种推证。

The traditional method about KNN is generally used Euclidean distance formula to measure the distance between the two samples.

传统的KNN算法一般采用欧式距离公式度量两样本间的距离。

"The objects can be thought of as points in space, with the distance between points given by a distance formula, such that:(1) the distance from point A to point B is zero if and only if A and B are identical ,"

可以把这些对象想成是空间中的点，两点之间的距离由距离公式给定，于是：(1)只有当A和B是重合的时候，A到B的距离才为零

This article deduces the formula of distance on mean elevation plane measured and the formula of altitude difference when inclined distance and vertical angle are observed separately .

推导出了斜距和垂直角分开观测时计算平均高程面上的距离公式以及计算高差的公式，并在进行了精度分析的基础上，提出了能满足精度要求应采用的公式。

The new distance formula considers the density information of representative points, so the clustering result is more precise than those using the existing similar methods.

其中新的距离公式考虑到代表点的密度和它们之间的距离同样重要，故将密度信息加入到距离计算之中，从而使聚类结果更加精确。

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。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷