文章中算例的结果验证了模型的有效性。
Finally we use an example to demonstrate the effectiveness of the model.
最后，通过一个算例验证了该模型的有效性。
Finally, an example was presented to demonstrate the validity of the model.
最后，通过算例对模型的应用进行了说明。
Finally, an example is given to demonstrate the application of the models.
最后，通过一个算例阐释了该模型。
算例证明了该模型的可行性和有效性。
Simulation results show that the established model is effective.
最后用算例证明了模型的有效性。
Finally, an example was proposed to prove the validity of the model.
算例证明，该评价模型能得到理想的评价结果。
This model can achieve an ideal evaluation result through an example.
最后通过一个简单的算例来证明该模型可行。
算例分析表明了模型和算法的有效性。
该模型由两部分组成：（1）矿床对象权查算表；
The model consists of two parts: (1) the consulting table of object weight of deposit;
通过数值算例验证了模型的有效性。
并对分布模型进行了算例分析，体现了模型相对于传统模型的优越性。
Case study on the distribution model that proves its advantage compared to the traditional one.
文中也给出了算例，说明了该模型的具体应用。
This paper also presents some examples, demonstrating the application of the price model.
研究算例表明，这种模型是优秀的。
The results of the experimental research show that this method is superior.
算例表明，该算法模型具有较好的可行性。
The example shows that the algorithm model has good feasibility.
通过算例分析，验证本文所建模型及求解算法的有效性和合理性。
The case study to validate the proposed model and algorithm are effective and reasonable.
最后，给出了一个典型算例，以说明该模型和算法的有效性。
Finally, a typical instance is illustrated to validate the model and algorithm.
最后，给出了一个典型算例，以说明该模型和算法的有效性。
Finally, a typical instance is illustrated to validate the model and algorithm.
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