lemniscate

简明释义

英[ˈlemnɪskɪt]美[lemˈnɪskɪt]

n. 双纽线

英英释义

单词用法

同义词

反义词

例句

1.According to the analyses of geometry characters and road usage performance of the Lemniscate curve, this paper testifies the feasibility of the usage of the Lemniscate curve.

论文通过对双纽曲线几何特征和路用性能的分析，论证了双纽曲线整体式小环道的可行性。

2.A 'lemniscate' shape was added to the building, forming a new entrance guided by the organic shape, a new central hall where all the dynamism is concentrated.

一个扭曲的形状加建到了建筑商，由有机组织形成了一个新的入口，新的中央大厅集中了所有的物力论。

3.According to the analyses of geometry characters and road usage performance of the Lemniscate curve, this paper testifies the feasibility of the usage of the Lemniscate curve.

论文通过对双纽曲线几何特征和路用性能的分析，论证了双纽曲线整体式小环道的可行性。

4.The lemniscate 无穷符号 is a fascinating figure in the study of algebraic curves.

在代数曲线的研究中，lemniscate 无穷符号是一个迷人的图形。

5.In calculus, the area enclosed by a lemniscate 无穷符号 can be calculated using polar coordinates.

在微积分中，可以使用极坐标计算由lemniscate 无穷符号围成的面积。

6.Artists often use the shape of a lemniscate 无穷符号 to create visually appealing designs.

艺术家们常常使用lemniscate 无穷符号的形状来创作视觉上吸引人的设计。

7.When graphing a lemniscate 无穷符号, one must consider its symmetry about the origin.

在绘制lemniscate 无穷符号时，必须考虑它关于原点的对称性。

8.The mathematician explained the properties of the lemniscate 无穷符号 in her lecture.

这位数学家在讲座中解释了lemniscate 无穷符号的性质。

作文

In the realm of mathematics, there are various shapes and forms that capture the imagination. One such intriguing shape is the lemniscate, which is often described as a figure-eight or infinity symbol. The term itself originates from the Latin word 'lemniscatus,' meaning 'ribboned,' which perfectly encapsulates the essence of this fascinating curve. The lemniscate can be represented in different forms, but the most common one is the lemniscate of Bernoulli, defined by the equation r^2 = a^2 cos(2θ) in polar coordinates. This mathematical representation allows us to visualize the elegant symmetry and continuous nature of the lemniscate.The lemniscate is not just a mathematical curiosity; it has significant implications in various fields, including physics and engineering. For instance, in the study of orbits, the lemniscate shape can represent the path of certain celestial bodies under specific conditions. This connection between mathematics and the physical world showcases the beauty of the lemniscate beyond mere numbers and equations.Moreover, the lemniscate has captured the attention of artists and designers. Its unique form lends itself to creative interpretations, inspiring everything from jewelry designs to architectural elements. The flowing curves of the lemniscate symbolize eternity and balance, making it a popular motif in art and culture.In addition to its aesthetic appeal, the lemniscate serves as a reminder of the interconnectedness of various concepts in mathematics. It represents the idea of infinity—a concept that transcends the boundaries of numbers and shapes. The lemniscate invites us to ponder the infinite possibilities that exist within the mathematical universe, encouraging us to explore further and deeper.As we delve into the world of mathematics, the lemniscate stands out as a testament to the elegance and complexity of mathematical forms. Its unique characteristics challenge our understanding and inspire curiosity. Whether we encounter it in a classroom, an art gallery, or a scientific context, the lemniscate continues to intrigue and captivate those who seek to understand its mysteries. In conclusion, the lemniscate is more than just a mathematical figure; it is a symbol of infinity, creativity, and the profound connections that exist within mathematics and the world around us. By exploring the lemniscate, we not only enhance our mathematical knowledge but also gain insight into the beauty that lies at the intersection of art and science.

在数学领域，有各种各样的形状和形式吸引着人们的想象力。其中一个引人入胜的形状是lemniscate，通常被描述为八字形或无穷大符号。这个术语源于拉丁词'lemniscatus'，意为'缎带的'，这完美地概括了这个迷人曲线的本质。lemniscate可以以不同形式表示，但最常见的是伯努利的lemniscate，由极坐标中的方程r^2 = a^2 cos(2θ)定义。这种数学表示法使我们能够可视化lemniscate的优雅对称性和连续性。lemniscate不仅仅是一个数学好奇心；它在物理学和工程等多个领域具有重要意义。例如，在轨道研究中，lemniscate形状可以表示某些天体在特定条件下的路径。这种数学与物理世界之间的联系展示了lemniscate超越数字和方程的美丽。此外，lemniscate吸引了艺术家和设计师的注意。其独特的形式使其适合创意解读，激发了从珠宝设计到建筑元素的灵感。lemniscate的流畅曲线象征着永恒和平衡，使其成为艺术和文化中的热门主题。除了其美学吸引力，lemniscate还提醒我们数学中各种概念的相互关联。它代表了无限的概念——一个超越数字和形状边界的概念。lemniscate邀请我们思考在数学宇宙中存在的无限可能性，鼓励我们进一步探索。当我们深入数学世界时，lemniscate作为数学形式优雅和复杂性的证明而脱颖而出。其独特特性挑战我们的理解并激发好奇心。无论我们在教室、艺术画廊还是科学环境中遇到它，lemniscate都继续吸引和迷住那些寻求理解其奥秘的人。总之，lemniscate不仅仅是一个数学图形；它是无限、创造力以及数学与我们周围世界之间深刻联系的象征。通过探索lemniscate，我们不仅增强了我们的数学知识，还获得了对艺术与科学交汇处的美的洞察。