flattening coefficient

简明释义

扁平系数

英英释义

例句

1.The flattening coefficient can significantly affect the performance of aerodynamic vehicles.

扁平系数可以显著影响空气动力学车辆的性能。

2.In material science, the flattening coefficient is crucial for understanding how materials deform under stress.

在材料科学中，扁平系数对理解材料在应力下如何变形至关重要。

3.To improve the accuracy of the model, we adjusted the flattening coefficient based on empirical data.

为了提高模型的准确性，我们根据实证数据调整了扁平系数。

4.The engineer calculated the flattening coefficient to determine the optimal design for the bridge.

工程师计算了扁平系数以确定桥梁的最佳设计。

5.Researchers found that the flattening coefficient influences the efficiency of solar panels.

研究人员发现，扁平系数会影响太阳能电池板的效率。

作文

In the field of mathematics and engineering, the concept of a flattening coefficient is essential for understanding how various shapes can be transformed and represented in different dimensions. The flattening coefficient refers to a numerical value that describes the degree to which an object is flattened or compressed along a particular axis. This concept is particularly relevant in fields such as computer graphics, where three-dimensional objects need to be rendered on two-dimensional screens. By adjusting the flattening coefficient, designers can create more realistic representations of objects, ensuring that they appear proportionate and visually appealing.To illustrate the significance of the flattening coefficient, consider the example of a sphere being projected onto a flat surface. When this occurs, the sphere must be compressed in some way to fit the two-dimensional plane. The flattening coefficient quantifies this compression, allowing artists and engineers to calculate how much the sphere needs to be altered to maintain its visual integrity. If the flattening coefficient is too high, the sphere may appear overly squished, while a low coefficient might not adequately represent the object's depth.Furthermore, the flattening coefficient plays a vital role in the realm of geodesy and cartography. When mapping the Earth, which is roughly spherical, onto flat maps, cartographers must apply a flattening coefficient to account for the distortion that occurs during this transformation. Different map projections utilize varying flattening coefficients to achieve specific visual outcomes, balancing between accuracy and aesthetic appeal. For instance, the Mercator projection is famous for its ability to preserve angles but distorts the size of landmasses, particularly near the poles. This trade-off highlights the importance of selecting an appropriate flattening coefficient based on the intended use of the map.In addition to its applications in visual representation, the flattening coefficient also has implications in physics and material science. When studying the properties of materials under stress, the flattening coefficient can indicate how much a material will deform when subjected to external forces. Engineers can use this information to design structures that can withstand various loads without compromising their integrity. By analyzing the flattening coefficient, they can predict failure points and enhance the safety and durability of constructions.In conclusion, the flattening coefficient is a multifaceted concept that finds relevance across various disciplines, from art and design to science and engineering. Understanding how to manipulate and apply the flattening coefficient allows professionals to create more accurate representations and designs, ultimately leading to better outcomes in their respective fields. As technology continues to evolve, the importance of mastering concepts like the flattening coefficient will only grow, enabling innovations that push the boundaries of what is possible in both theoretical and practical applications.

在数学和工程领域，flattening coefficient（扁平系数）的概念对于理解各种形状如何在不同维度中转换和表示至关重要。flattening coefficient是一个数值，描述了物体沿特定轴线被压缩或扁平化的程度。这个概念在计算机图形学等领域尤为相关，因为三维物体需要在二维屏幕上呈现。通过调整flattening coefficient，设计师可以创建更逼真的物体表示，确保它们看起来成比例且视觉上令人愉悦。为了说明flattening coefficient的重要性，考虑一个球体投影到平面上的例子。当这种情况发生时，球体必须以某种方式被压缩，以适应二维平面。flattening coefficient量化了这种压缩，使艺术家和工程师能够计算出球体需要被改变多少，以保持其视觉完整性。如果flattening coefficient过高，球体可能会显得过于扁平，而较低的系数可能无法充分表示物体的深度。此外，flattening coefficient在大地测量学和制图学领域也发挥着重要作用。当将近似球形的地球映射到平面地图上时，制图师必须应用flattening coefficient来考虑在这种转换过程中发生的失真。不同的地图投影采用不同的flattening coefficient以实现特定的视觉效果，在准确性和美观之间取得平衡。例如，墨卡托投影因其能够保持角度而闻名，但在极地附近扭曲了陆地的大小。这种权衡突显了根据地图的预期用途选择合适的flattening coefficient的重要性。除了在视觉表现中的应用外，flattening coefficient在物理学和材料科学中也具有重要意义。在研究材料在应力下的性质时，flattening coefficient可以指示材料在外力作用下会变形多少。工程师可以利用这些信息设计能够承受各种负荷而不损害其完整性的结构。通过分析flattening coefficient，他们可以预测失效点，并提高建筑的安全性和耐用性。总之，flattening coefficient是一个多方面的概念，在艺术与设计、科学与工程等多个学科中都具有相关性。理解如何操控和应用flattening coefficient使专业人士能够创建更准确的表示和设计，最终在各自领域取得更好的成果。随着技术的不断发展，掌握像flattening coefficient这样的概念的重要性只会增加，从而推动理论和实践应用的创新，拓宽可能性的边界。