通过计算证明，涂料在圆锥形模具中流动时，能够在模具内产生一定的压力梯度。
The results of calculation prove that the flow of coating in conical shaped die can create pressure gradient of coating in die.
通过计算证明引起断裂的根本原因是动应力超过了梁的许用疲劳极限，另一原因是梁的结构不合理。
The primary cause of breakage is that the dynamic stress exceeded the allowable fatigue limit of the beam, and another cause is that the structure of the beam is unreasonable.
最后，用直接方法求出问题的综合最优解，并通过计算证明，对于不同的工程目标和具体要求，综合最优解可以有不同的取值。
Finally, the comprehensive optimum was solved with direct method, and proved it could have different numerical value to different engineering objective and detailed demands.
通过计算《花花公子》上模特有关部位的重要数据，得克萨斯大学奥斯汀分校的德维得拉。赛已经证明了这一点。
Devendra Singh, of the University of Texas, in Austin, has proved the point in the past by measuring the vital statistics of Playboy models.
到目前为止，这个实验已经证明在一个神经元的旁路或同一层神经网络的两个神经元中，通过少量的连接来进行视觉辨认的重要性，而一个计算机国际象棋棋手并不能告诉你这些。
So far, this has demonstrated the importance in visual recognition of the rare connections that bypass a unit or two in the hierarchy. A computer chess-player could not have told you that.
该团队证明了IBMSPSSModeler通过动态计算置信度和在需要时生成警告，提供了自动化实时故障预测的能力。
The team demonstrated that IBM SPSS Modeler provides the capability to automate failure predictions in real time by calculating confidences on the fly and generating alerts when needed.
你需要通过正确地输入字母来证明给计算机，你是一个人类。
By correctly transcribing it, you have proved to the computer that you are a human being.
为了强调钥匙曝光的对安全造成的潜在危险，圣地亚哥加利福尼亚大学的计算机专家打算证明通过数码照片配制钥匙轻而易举。
Computer experts at the University of California in San Diego set out to show how easily keys could be copied from a digital image to highlight the potential security risk of leaving keys on display.
特别的是，文章中定性分析了阴极磁场角对电子注速度比的影响，并通过计算获得证明。
Especially, analyze qualitatively the effect that the cathode magnetic field Angle contributes to beam ratio and prove it by calculation.
通过模型试验的计算结果与实测值的比较，证明本文理论的合理性和有效性。
Through comparison between the calculated and measured results from model tests, the validity of present theory is verified.
通过推导计算与实例证明，该驴头的行程、传动效率、线性度和寿命都满足设计要求。
By the derivation, calculation and illustration it is testified that the that of stroke, transmission efficiency, linearity and life time meet the design requirements.
通过对传统的仿形靠模设计和制造缺陷的分析，提出了用计算机辅助设计仿形靠模，实践证明，这是一种行之有效的方法。
Analyzing the traditional defects in the design and making of the profiling mould, this paper puts forward the computer aid mould design, a feasible method demonstrated by actual practice.
通过算例，证明本文提出的力学模型与计算方法的合理性与有效性。
The computation examples prove the reasonableness and effectiveness of the mechanical model and the computational methods presented in the paper.
通过计算机模拟实验，证明这种方法在移动障碍和移动目标的环境中能有效的实现机器人避碰和导航。
In the computer simulation experiment, this method can efficiently implement robot path searching in the dynamic environment with both moving obstacles and moving targets.
证明过程中主要应用了分析中的压缩映象原理和一些空间的性质，通过构造可计算函数，来把解从一个区间延拓到整个空间。
We mainly apply the contraction principle in analysis and properties of some Spaces. By the computable functions constructed, we extend the solution from the internal to the entire space.
给出了应用该方法的具体步骤，通过模拟和实际数据计算证明了该方法的有效性。
Specific steps of the method are given, and the effectiveness is proved by simulation and actual data calculations.
通过在计算机上的模拟测试，证明该算法对网络病毒具有较高的检测精度与速度，且运算开销小，代码简单，可以嵌入到网络设备中。
Simulation experiments indicate that the algorithm has the higher detecting accuracy and speed and spends less system resources, and can be embedded into network devices for its simple codes.
通过对大量空间角度的自动计算和自动绘图检验，证明了方案具有简便、精确和通用的特点。
By having used computer calculation and illustration of automatic graph plotter to test plenty of space angles, the scheme proved to have the feature of simple, convenient, precision and general.
通过实例计算证明，其拓扑预测模型精度较高，可以预测该区未来强震的危险性。
Calculation using practical seismic events shows the topologic prognostic model can yield fairly high accuracy which might be applied into the prognostics of future seismic risks in the said areas.
最后通过切齿试验证明了本文理论分析计算的正确性。
The correctness of the theoretical analysis and calculation has been proved by shaping experiment.
通过计算实例证明了地下隧道水平地应力远大于其竖向地应力(这一点与实际情况是完全吻合的)。
It have proved the horizontal crustal stress far strong the vertical crustal stress in underground tunnel by a calculated example (that tallies completely with reality conditions).
通过数值计算证明了物体的附加水质量不仅与物体形状有关，在一定条件下还受流体边界的影响。
Through numerical calculation, its proved that the fluid boundary greatly affects the value of added mass in many cases.
通过理论计算及工艺实验，证明了此理论的正确性，井已用于生产，其效果良好。
Through theoretic calculation and experiment, this proposal has been proved to be correct and has been used in production with a good result.
最后，通过实例计算分析，证明系统具有良好的控制特性，节能效果良好。
Finally in the thesis case study and calculation proved the system has nice control characteristic and has good energy saving effect.
通过算例证明，采用简化法计算结果与分段法比较，其误差不到1%，完全可以满足工程要求。
Instances prove that error didn't exceed 1%. Compared with stage-method, simplified calculation can satisfy the needs of engineering completely.
在理论上研究了扫描镜电机的神经网络控制器，给出了其稳定的条件，并通过计算机仿真结果证明了它的可行性。
NN controller of the scan mirror engine is researched in the theory, its steady condition is given, its feasibility is proved by the results of computer simulations.
本文通过几个例子介绍了三次单位根在复数计算、证明与多项式整除中的应用。
This paper, by examples, introduces the application of triple root in the calculation and proof of complex number, and exact division in multinomial.
通过理论分析和实例计算，证明了该方法的合理性和有效性。
Through theoretical analyzing and practical calculation, the rationality and validity of the scheme is proved.
通过理论分析和实例计算，证明了该方法的合理性和有效性。
Through theoretical analyzing and practical calculation, the rationality and validity of the scheme is proved.
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