symmetrization

简明释义

英[ˌsɪmətraɪˈzeɪʃən]美[ˌsɪmətrɪˈzeʃən]

n. 均衡；相称

英英释义

单词用法

同义词

反义词

例句

1.The four kinds of method for symmetrization of the nonsymmetric and no. banded matrix equations of the mixed element and the associated approximate methods for analysis of some fluid-solid coupled d…

对于非对称、非带状混合元方程，提出了四种对称化方法及相应的分析耦合问题的近似方法。

2.The four kinds of method for symmetrization of the nonsymmetric and no. banded matrix equations of the mixed element and the associated approximate methods for analysis of some fluid-solid coupled d…

对于非对称、非带状混合元方程，提出了四种对称化方法及相应的分析耦合问题的近似方法。

3.The QPNS equations in entropy variables derived in the present paper have the symmetrization and satisfy the second law of thermodynamics automatically that can improve the stability of the solution.

本文导出的熵变量形式QPNS方程具有对称性和自动满足热力学第二定律，这将提高解的稳定性。

4.The problem of quadrature formula, normalization, symmetrization and peak spreading correction for experimental GPC chromatograms after partial smoothing or fitting a curve is discussed.

最后讨论了求积公式、归一化、对称化和GPC实验谱图的峰加宽改正问题。

5.Experiments also show that selecting suitable symmetrization normalization techniques while forming the diffusion operator is important to hyperspectral imagery representation.

实验也表明，选择合适的对称化方法规范扩散算子对于最终的高光谱影像表示有重要的影响。

6.The process of symmetrization is essential in quantum mechanics to ensure that the wave functions of identical particles are properly represented.

在量子力学中，对称化过程对于确保相同粒子的波函数得到正确表示至关重要。

7.In image processing, symmetrization can be used to enhance images by making them more visually appealing.

在图像处理过程中，对称化可以用来增强图像，使其更具视觉吸引力。

8.The mathematical technique of symmetrization helps in simplifying complex functions by making them symmetric.

数学技术中的对称化有助于通过使复杂函数变得对称来简化它们。

9.During the design phase, the symmetrization of architectural elements can create a more balanced and harmonious structure.

在设计阶段，建筑元素的对称化可以创造出更平衡和谐的结构。

10.In statistical physics, symmetrization is used to derive properties of systems with indistinguishable particles.

在统计物理中，对称化用于推导具有不可区分粒子的系统的性质。

作文

In the realm of mathematics and physics, the concept of symmetrization plays a crucial role in understanding various phenomena. Symmetrization refers to the process of making an object or function symmetric, which means that it exhibits symmetry properties. This can be applied to shapes, equations, and even physical systems. The importance of symmetrization can be observed in fields such as quantum mechanics, where the behavior of particles is often analyzed through symmetric functions. For instance, consider a wave function describing two indistinguishable particles. To ensure that the wave function adheres to the principles of quantum mechanics, one must apply symmetrization to account for the indistinguishability of the particles. Without this step, the predictions made by the wave function could lead to incorrect conclusions about the system's behavior. The mathematical implications of symmetrization extend beyond quantum mechanics. In optimization problems, symmetrization techniques can simplify complex functions by transforming them into their symmetric counterparts. This transformation can often make it easier to find maxima or minima of functions, as symmetric functions tend to have more straightforward properties. For example, in calculus, applying symmetrization can help in proving inequalities by leveraging the symmetry of the functions involved. Moreover, symmetrization is not limited to abstract mathematical concepts; it also finds applications in real-world scenarios. In engineering, for instance, designing structures that are symmetric can enhance stability and strength. Architects often use symmetrization principles when creating buildings to ensure aesthetic appeal and functional efficiency. A symmetrical design can distribute forces evenly, reducing the likelihood of structural failure and improving the overall integrity of the construction. Furthermore, the concept of symmetrization can be observed in nature. Many biological organisms exhibit symmetrical features, such as bilateral symmetry in animals, where the left and right sides mirror each other. This symmetry is not merely aesthetic; it often has evolutionary advantages, such as improved movement and balance. Understanding the principles of symmetrization can provide insights into the evolutionary processes that shape the forms and functions of living organisms. In conclusion, symmetrization is a multifaceted concept that bridges mathematics, physics, engineering, and biology. Its ability to simplify complex problems, enhance structural integrity, and explain natural phenomena underscores its significance across various disciplines. As we continue to explore the intricacies of our world, the principles of symmetrization will undoubtedly remain a vital tool in our quest for knowledge and understanding. Whether in theoretical frameworks or practical applications, embracing the power of symmetrization will enable us to uncover deeper insights into the universe we inhabit.

在数学和物理的领域中，symmetrization（对称化）的概念在理解各种现象中发挥着至关重要的作用。Symmetrization指的是使一个物体或函数具有对称性的过程，这意味着它展现出对称性质。这可以应用于形状、方程，甚至物理系统。Symmetrization的重要性可以在量子力学等领域中观察到，在这些领域中，粒子的行为通常通过对称函数进行分析。例如，考虑描述两个不可区分粒子的波函数。为了确保波函数遵循量子力学的原理，必须应用symmetrization以考虑粒子的不可区分性。如果没有这一步骤，波函数所做出的预测可能会导致关于系统行为的不正确结论。 Symmetrization的数学意义超越了量子力学。在优化问题中，symmetrization技术可以通过将复杂函数转变为其对称对应物来简化问题。这种转变往往使得寻找函数的最大值或最小值变得更加容易，因为对称函数通常具有更简单的属性。例如，在微积分中，应用symmetrization可以帮助证明不等式，通过利用所涉及函数的对称性。 此外，symmetrization不仅限于抽象的数学概念；它在现实世界场景中也找到了应用。在工程学中，例如，设计对称的结构可以增强稳定性和强度。建筑师在创建建筑时常常使用symmetrization原则，以确保美学吸引力和功能效率。对称设计可以均匀分配力量，减少结构失败的可能性，提高整体建设的完整性。 此外，symmetrization的概念可以在自然界中观察到。许多生物有机体表现出对称特征，例如动物的双侧对称性，左侧和右侧相互镜像。这种对称性不仅仅是美学上的；它通常具有进化优势，例如改善运动和平衡。理解symmetrization的原则可以提供对塑造生物体形式和功能的进化过程的洞察。 总之，symmetrization是一个多方面的概念，连接了数学、物理、工程和生物学。它简化复杂问题、增强结构完整性和解释自然现象的能力突显了它在各个学科中的重要性。随着我们继续探索这个世界的复杂性，symmetrization的原则无疑将继续成为我们追求知识和理解的重要工具。无论是在理论框架还是实际应用中，接受symmetrization的力量将使我们能够揭示对我们所居住宇宙的更深刻的洞察。