elliptic

简明释义

英[ɪˈlɪptɪk]美[ɪˈlɪptɪk]

adj. 椭圆形的；省略的

英英释义

单词用法

同义词

反义词

例句

1.All of their security is based on elliptic curve discrete logarithm problem.

它们的安全性都是基于椭圆曲线离散对数问题。

2.The full transformation method is used in element-free Galerkin method for solving the elliptic boundary value problems.

采用完全变换法施加本质边界条件，给出求解椭圆型边值问题的无网格伽辽金方法。

3.A regularity result of a class of elliptic equations with singular lower term is obtained.

本文得到了一类带奇异低阶项椭圆方程的一个正则性结果。

4.Using the proposed design tables, all pole and elliptic filters can be synthesized easily.

应用此设计简表能方便地综合设计全极点与椭圆点滤波器。

5.The approach of realization of the elliptic function complementary filter has been given.

提出了椭圆函数互补滤波器的实现条件。

6.In the implementation of the elliptic curve cryptosystem, we first have to select a secure elliptic curve.

在椭圆曲线密码体制的实现中，选取安全的椭圆曲线是首要问题。

7.Both of their security are based on the intractability of elliptic curve discrete logarithm problem.

两种方案的安全性都是基于椭圆曲线离散对数问题的难解性。

8.In geometry, an elliptic 椭圆的 curve can represent various shapes and forms.

在几何中，椭圆的曲线可以表示各种形状和形式。

9.In physics, elliptic 椭圆的 functions are used to describe waveforms.

在物理学中，椭圆的函数用于描述波形。

10.The orbit of the planet is described as an elliptic 椭圆的 path around the sun.

行星的轨道被描述为围绕太阳的一个椭圆的路径。

11.The elliptic 椭圆的 nature of the galaxy's rotation raises questions among astronomers.

银河系旋转的椭圆的特性引发了天文学家的疑问。

12.The mathematician studied elliptic 椭圆的 integrals to solve complex equations.

数学家研究椭圆的积分以解决复杂方程。

作文

The concept of geometry has evolved over centuries, leading to various branches that explore different shapes and forms. Among these branches, the study of conic sections plays a crucial role in understanding the properties of curves. One of the most fascinating types of conic sections is the elliptic (椭圆的) curve. These curves are not only significant in mathematics but also have practical applications in physics, engineering, and astronomy.An elliptic (椭圆的) curve can be defined as the set of points that satisfy a specific mathematical equation. In its simplest form, the equation can be expressed as y² = x³ + ax + b, where 'a' and 'b' are constants. The resulting graph of this equation creates a symmetrical shape that resembles an elongated circle, which is why it is referred to as elliptic (椭圆的). This unique shape allows for various interesting properties, such as symmetry about the x-axis and y-axis, as well as the ability to define a group structure among the points on the curve.In recent years, the study of elliptic (椭圆的) curves has gained immense popularity, particularly in the field of cryptography. Cryptographic systems rely on complex mathematical problems that are difficult to solve without specific keys. The security of these systems often hinges on the difficulty of solving equations related to elliptic (椭圆的) curves. For instance, the Elliptic Curve Cryptography (ECC) method uses the properties of these curves to create secure encryption algorithms that protect sensitive information transmitted over the internet.Additionally, elliptic (椭圆的) curves have intriguing connections to number theory. They are closely linked to the distribution of prime numbers and have been pivotal in proving several important theorems. One of the most famous results involving elliptic (椭圆的) curves is the proof of Fermat's Last Theorem by Andrew Wiles in the 1990s. This theorem, which had remained unsolved for over 350 years, was finally resolved through the intricate relationships between elliptic (椭圆的) curves and modular forms.Beyond their theoretical significance, elliptic (椭圆的) curves also appear in various physical phenomena. For example, the orbits of planets and satellites can often be approximated using elliptic (椭圆的) shapes. Kepler's laws of planetary motion describe how celestial bodies move in elliptic (椭圆的) paths around the sun, highlighting the importance of these curves in understanding our universe.In conclusion, the study of elliptic (椭圆的) curves encompasses a wide range of disciplines, from mathematics to cryptography and even astronomy. Their unique properties and applications make them a fascinating subject for researchers and students alike. As we continue to explore the depths of mathematics and its applications, the significance of elliptic (椭圆的) curves will undoubtedly remain at the forefront of scientific inquiry, revealing new insights and solutions to complex problems.

几何概念经过几个世纪的发展，导致了不同分支的出现，这些分支探索不同的形状和形式。在这些分支中，圆锥曲线的研究在理解曲线的性质方面起着至关重要的作用。其中一种最迷人的圆锥曲线类型是elliptic（椭圆的）曲线。这些曲线不仅在数学上具有重要意义，而且在物理学、工程学和天文学中也有实际应用。elliptic（椭圆的）曲线可以定义为满足特定数学方程的一组点。在其最简单的形式中，该方程可以表示为y² = x³ + ax + b，其中'a'和'b'是常数。该方程的图形会产生一个对称的形状，类似于一个拉长的圆，这就是为什么它被称为elliptic（椭圆的）。这种独特的形状允许各种有趣的属性，例如关于x轴和y轴的对称性，以及在曲线上的点之间定义群结构的能力。近年来，elliptic（椭圆的）曲线的研究在密码学领域获得了极大的关注。密码系统依赖于复杂的数学问题，这些问题在没有特定密钥的情况下很难解决。这些系统的安全性通常取决于解决与elliptic（椭圆的）曲线相关的方程的难度。例如，椭圆曲线密码学（ECC）方法利用这些曲线的性质创建安全的加密算法，以保护通过互联网传输的敏感信息。此外，elliptic（椭圆的）曲线与数论有着引人入胜的联系。它们与素数的分布密切相关，并且在证明几个重要定理方面发挥了关键作用。涉及elliptic（椭圆的）曲线的最著名结果之一是安德鲁·怀尔斯在1990年代证明的费马大定理。这个定理在超过350年的时间里未能解决，最终通过elliptic（椭圆的）曲线和模形式之间的复杂关系得到了解决。除了它们的理论意义外，elliptic（椭圆的）曲线还出现在各种物理现象中。例如，行星和卫星的轨道通常可以用elliptic（椭圆的）形状进行近似。开普勒的行星运动定律描述了天体如何沿着太阳周围的elliptic（椭圆的）路径移动，突显了这些曲线在理解我们宇宙中的重要性。总之，elliptic（椭圆的）曲线的研究涵盖了从数学到密码学甚至天文学的广泛学科。它们独特的属性和应用使它们成为研究人员和学生都感兴趣的主题。随着我们继续探索数学及其应用的深度，elliptic（椭圆的）曲线的重要性无疑将继续处于科学探究的前沿，揭示新的见解和解决复杂问题的方法。