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A cyclic redundancy check is a type of function that takes as input a data stream of any length and produces as output a value of a certain fixed size.

由于工作需要，完成上下微机的com口的通讯，所以要用 JAVA 语言实现CRC16算法，完成通讯后字节流的校验功能。

The effect of tribology factors on bearing vibration is studied experimentally. AR model and WPT are used to processing the normal arid abnormal signals. The results are as follows:1. The vibration of ball bearings is caused by the tribology action of contact pairs of ball and ring races and has the essential of tribo-dynamics. Any factors affecting the tribology characteristics of contact pairs will affect vibration and noise of bearings consequently.2. Vibration characteristics of bearing keep almostly unchanged with the increasing of axial load expecting the increasing of nature frequencies. When radial load increasing with axial load unchanged, nature frequencies keep unchanged but some new vibration peaks appears in the spectrum.3. Vibration amplitudes are damped and nature frequency are enhanced with sufficient lubrication. Vibration and noise of bearings increase obviously and roar can happen and the contact surfaces scratch slightly under insufficient and unclean lubrication state. Bearing will be disabled in a few minutes without any lubrication.4. Bearing vibration is unstable under low speed. With the speed increasing, the vibration become stable and natural frequencies increase slightly but the amplitudes increase apparently.5. Bearing vibration can be excited only by some harmonics ofwaviness without lubrication and by all harmonics with lubrication based on the theoretical analysis.6. The nature frequencies of ball bearings decrease with the increasing sizes. When international clearance increasing, nature frequencies decrease in radial and increase in axial and angular and the amplitudes increase in radial and decrease in axial and angular. When the number of balls increasing, nature frequencies increase and amplitudes decrease. When the pitch diameter increasing, axial nature frequency increase and others nearly keep no change. When outer race groove curvature radius increasing, nature frequencies increase in radial and decrease in axial and angular and amplitudes keep no change in radial and increase in axial and angular. When inner race groove curvature radius increasing, nature frequencies decrease and amplitudes increase.7. The distortion in amplitude and frequency components of bearing vibration signals picked up by the present probe measurement method is founded and right conclusions cannot be achieved by the signals. When accelerometer is rigidly screwed with steel stud onto a flat outer surface of a ball bearing, vibration signal can be got without distortion and the reliability of research on bearing vibration is assured.8. AR model is suitable for large samples of bearing vibration signals, square root of length of samples can be used as the upper limitation of order determination and the FPE order selection criterion is effective. Many advantages of AR spectrum are founded over the classical based on FFT.9. Time-Frequency analysis is necessary for abnormal noise of ball bearings. WPT overcomes the principle shortcomings of STFT and proved to be a best tool to process the abnormal signals.

理论分析和试验研究表明： 1球轴承振动是钢球—滚道接触副中的各种摩擦学作用引起的，具有摩擦动力学的本质，任何对接触副的摩擦学特性有影响的因素都将对球轴承的振动和噪声特性产生影响； 2中心轴向载荷作用下，载荷增大使球轴承的固有振动频率升高，载荷越大同样的载荷增幅引起的频率升幅减小，足够大的中心轴向载荷作用下载荷的变化对球轴承振动的频率特性不会产生明显的影响； 3轴向和径向联合载荷作用下，径向载荷不大时球轴承振动的固有频率基本不变，但是可能引起变刚度激励的非线性振动，出现新的频峰，过大的径向载荷将使部分钢球脱离接触，使球轴承的振动和噪声呈现不稳定状态； 4润滑对球轴承的振动和噪声特性有重要的影响，良好的润滑对振动有明显的抑制作用，润滑不充分时，振动和噪声的水平会有明显增高，一定条件下还会激发接触副中的谐振，发出啸声，造成接触表面的伤害，无润滑干接触时，短时的运转就会损伤接触副表面，使振动和噪声迅速增大，并随时可能引发严重的磨损和卡滞失效；接触副润滑良好时，油膜的"刚化效应"使球轴承振动的固有频率有所提高，润滑剂中含有弥散性污浊时，振动的幅度总体升高，但弥散性污浊不会改变球轴承振动的频率特性；浙江大学博士学位论文：球轴承振动的研究 5低速时，球轴承振动的基本特征呈现不稳定状态，随着转速的提高，球轴承振动的频率特性趋于稳定，固有频率频峰升高； 6理论分析表明，干接触时钢球和滚道表面波纹度的某些谐波分量能激励球轴承的振动，振动的幅值与谐波幅值成正比，实际球轴承中钢球的分布不可能完全均匀，波纹度的激励作用会随时发生；润滑接触的分析表明，波纹度的任意谐波分量均能激励球轴承的振动； 7球轴承的几何和结构参数分析表明，球轴承尺寸越大，径向、轴向和角振动的固有频率越低；钢球中心圆直径增大，球轴承的径向和轴向振动的固有频率基本不变，角振动的固有频率有所上升，振动的幅频特性基本不变；径向游隙加大使球轴承的径向振动固有频率降低，轴向和角振动的固有频率有所升高，径向振动幅频特性的幅值升高，而轴向和角向降低；钢球的数量增多使球轴承振动的固有频率上升，幅频特性的幅值下降，径向振动的幅值下降最为明显；外圈沟曲率半径系数增大使球轴承径向振动的固有频率升高，轴向和角振动的固有频率降低，径向幅频特性基本不变，轴向和角向幅频特性幅值升高；内圈沟曲率半径系数增大使径向、轴向和角振动固有频率均下降，振动幅频特性的幅值均有升高； 8试验对比表明，传感器采用探针式安装时，由于探针接触副接触特性的影响，钡(量得到的球轴承振动信号有失真，采用专门设计和制作的试验球轴承，以固定式安装加速度计，首次测量得到了球轴承振动的真实信号，通过对振动信号的分析，验证了球轴承振动的理论模型； 9)基于时间序列分析的AR模型适用于大样本球轴承振动信号的分析，以样本长度的均方根值作定阶上界，FPE做判阶准则，给出的AR谱光滑，频率分辨率高，是球轴承振动分析的简便而可靠的手段； 10以时频域分析的小波包变换分析球轴承异音信号能够比较好地定位和聚焦异音发生的时间，时间间隔，频率范围，同样是球轴承振动分析的可靠的手段，可用作球轴承故障诊断技术。

A physical property, such as mass, length, time, or a combination thereof, regarded as a fundamental measure or as one of a set of fundamental measures of a physical quantity

量纲一种物理性质，例如质量、长度、时间或其它一种组合，看成为一种基本的测量或一种物理量的一组基本的测量数据之一

I had a short jacket of goat-skin, the skirts coming down to about the middle of my thighs; and a pair of open-kneeed breeches of the same, the breeches were made of the skin of an old he-goat, whose hair hung down such a length on either side, that like pantaloons it reached to the middle of my legs; stockings and shoes I had none, but had made me a pair of some things, I scarce know what to call them, like buskins to flap over my legs, and lace on either side like spatter-dashes; but of a most barbarous shape, as indeed were all the rest of my clothes.

我上身穿着一件山羊皮短外衣，但衣襟遮住了一半大腿；下身穿着一条短裤，连双膝都没有盖上。短裤也是用同一张老公羊的皮做的，毛很长，几乎垂到小腿上，看上去像一条长裤。我没有鞋子和袜子，但做了一双像靴子之类东西，自己也不知道该叫什么，穿在脚上，小腿的两边再用绳子系起来，像打上了绑腿。这双靴子与我身上的其他装束一样，野蛮粗俗，实在难看。

I had a short Jacket of Goat-Skin, the Skirts coming down to about the middle of my Thighs; and a Pair of open-knee'd Breeches of the same, the Breeches were made of the Skin of an old He-goat, whose Hair hung down such a Length on either Side, that like Pantaloons it reach'd to the middle of my Legs; Stockings and Shoes I had none, but had made me a Pair of some-things, I scarce know what to call them, like Buskins to flap over my Legs, and lace on either Side like Spatter-dashes; but of a most barbarous Shape, as indeed were all the rest of my Cloaths.

我上身穿了一件山羊皮做的短外套，衣襟遮住了一半大腿。下身穿了一条齐膝短裤，也是用一只老公羊的皮做成的，两旁的羊毛一直垂到小腿上，看上去象条长裤。我没有鞋子，也没有袜子，但做了一双短靴似的东西，自己也不知道该叫什么，靴长刚及小腿，两边再用绳子系起来，好像绑腿一样。这双靴子与我身上的其他装束一样，极端拙劣难看。

When we had done this, we came back to our Castle, and there I fell to work for my Man Friday; and first of all, I gave him a pair of Linnen Drawers, which I had out of the poor Gunners Chest I mention'd, and which I found in the Wreck; and which with a little Alteration fitted him very well; then I made him a Jerkin of Goat's-skin, as well as my Skill would allow; and I was now grown a tollerable good Taylor; and I gave him a Cap, which I had made of a Hare-skin, very convenient, and fashionable enough; and thus he was cloath'd for the present, tollerably well; and was mighty well pleas'd to see himself almost as well cloath'd as his Master: It is true, he went awkardly in these Things at first; wearing the Drawers was very awkard to him, and the Sleeves of the Wastcoat gall'd his Shoulders, and the inside of his Arms; but a little easing them where he com plain'd they hurt him, and using himself to them, at length he took to them very well.

我让星期五把所有的骷髅、人骨和人肉以及那些野人吃剩下来的东西收集在一起，堆成一堆，然后点上火把它们通通烧成灰烬。我发现星期五对那些人肉仍垂涎欲滴，不改他吃人的天性。但我明显地表现出对吃人肉的事极端憎恶，不要说看到这种事，甚至连想都不愿想。我还设法让他明白，如果他敢再吃一口人肉，我就把他杀了，这才使他不敢有所表示。办完这件事后，我们就回到城堡里去了。一到那里，我就开始为星期五的穿着忙碌起来。首先，我给了他一条麻纱短裤。这条短裤是我从那条失事船上死去的炮手箱子里找出来的。这件事我前面已提到过了。短裤略改一下，刚刚合他的身。然后，我又用羊皮给他做了件背心。我尽我所能缝制这件背心。

This is a project to use the three-dimensional space vector/point type and related functions, they can be defined using a space vector/point, the realization of vector translation, scaling and rotation, the use of correlation function can also be the realization of the two vectors fork x, the absolute length of a vector, a vector unit, and get a three-point decision to the vertical plane of the vector, be the distance between two points in space, by the two vectors point multiplication by the two vectors angle, such as operations, for the use of user-friendly, each function are detailed notes, I hope all of you useless.

详细说明：这是一个项目时使用到的"三维空间向量/点"类及相关函数，使用它们可以定义一个空间向量/点，实现向量的平移，缩放和旋转等，使用相关函数还可以实现两向量的叉乘，得到一个向量的绝对长度，将一个向量单位化，得到一个三点决定的平面的垂直向量，得到空间中两点的距离，得到两向量的点积，得到两向量的夹角等操作，为方便用户的使用，每个函数都有详细的注释，希望对大家有所用处。

Based on the traits of the aspherical lens, the sunlight was focused on a very small spot, and then it was transferred into a plastic fiber by an aspherical lens and a selfoc lens. A formula for calculating the optimal length of selfoc lens is presented. The optimal assembly of the aspherical lens and selfoc lens was implemented by the aid of this formula. Therefore, sunlight is coupled into a plastic fiber efficiently.

根据非球面透镜垂轴球差小的特点把太阳光会聚到很小的光点，再利用长度约为1/4节距的自聚焦透镜改变光线的数值孔径使其满足光纤的数值孔径，通过一个计算公式来计算最佳的自聚焦透镜长度，实现非球面透镜和自聚焦透镜的最佳组合，把太阳光以较高的耦合效率耦合进塑料光纤。

This was a bit of a disappointment to me as I had hoped the high-density inserts in the sockliner would give the VC III a springy, responsive feel right out of the box. They didn't, and the VC III will never feel as responsive as a shoe with full-length Zoom Air, but after two wearings the shoe delivered a velvety ride, with excellent shock absorption and not even a hint of mushiness. Note that if you're on the heavy side the shoe will break more quickly, while if you're on the light side it may take a little more time. But either way, the VC III's cushioning will hold up a lot longer than any "conventional" hoops shoe you've worn, and I think its brief break in period is more than made up for by its outstanding overall performance and durability.

这也是让我有一点失望的地方，因为本来希望拥有这么强悍的鞋垫和内衬应该一上脚就十分爽，但它不是会像全掌zoom air 的球鞋那样(比如Air Ultraposite)一上脚就能融合，它则需要两三次的磨合后才会把它的性能展现出来，还有一点要注意，如果你的体重比较大，拿这鞋会磨损的很快，比较轻的朋友就不用担心了，但不管怎么说VC3还是会比一般的篮球鞋耐穿的，而这也是它能在我们排行榜上位居第一的另一个重要原因。

A glass die, a micro replication characteristic of PDMS and an electroplating technology are used to make the three-dimensional microelectrode array. A precise cutting machine is used to cut the glass to form a column array and a mixture of HF and NH4F is used to produce the corresponding structure serving as the die of the micro replication of PDMS. The photoetching technology is left out and the limitation of a photoresist on the dimension of the three-dimensional structure is eliminated; therefore the longer microelectrode array can be made. The length of the microelectrode array depends on the incision depth of the glass and the electroplating technology of deep hole of the metal.

本发明利用玻璃模具、PDMS的微复制特性和电镀技术制作三维微电极阵列，用精密切割机切割玻璃形成柱状阵列，用HF和NH 4 F的混合液腐蚀出相应的结构作为PDMS微复制的模具，免去了光刻工艺，消除了光刻胶对三维结构尺寸的限制，可以制作更大长度的微电极阵列，这一长度决定于玻璃的切割深度和金属的深孔电镀技术。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。