ellipsoids

简明释义

英[ɪˈlɪp.sɔɪdz]美[ɪˈlɪp.sɔɪdz]

n. 椭圆体（ellipsoid 的复数）

英英释义

单词用法

同义词

反义词

例句

1.In the infrared wave-band, the influence of the geometry, permittivity and statistic characteristics of the rough surface on LRCS is analysed, making use of rough spheres and ellipsoids as examples.

以粗糙球和粗糙 椭球为例分析了物体几何参数，介电常数和粗糙表面统计参数对红外激光后向散射截 面的影响。

2.In the infrared wave-band, the influence of the geometry, permittivity and statistic characteristics of the rough surface on LRCS is analysed, making use of rough spheres and ellipsoids as examples.

以粗糙球和粗糙 椭球为例分析了物体几何参数，介电常数和粗糙表面统计参数对红外激光后向散射截 面的影响。

3.The algorithm employed ellipsoidal outer approximation of the feasible set assuming instantaneous process and observation noise vectors and the initial state to be bounded by known ellipsoids.

算法假设系统的过程和量测噪声以及初始状态由已知椭球来定界，然后利用椭球集合来描述系统真实状态的可行集。

4.When UTM coordinates on WGS84 ellipsoids are converted to Lambert ones on Clarke80, they are transformed to geographic coordinates at first, and then to Cartesian ones on WGS84;

在进行坐标转换时，WGS84椭球下的UTM 坐标首先被转换成地理坐标，然后被转换成笛卡尔坐标；

5.Analytical solutions for the electric field due to surface-polarizable ellipsoids located in a uniform external electric field are derived in an ellipsoidal coordinates.

在椭球座标系中对均匀外电流场中的面极化椭球体的电场进行了求解。

6.The accuracy of the experimental method was first checked by using ellipsoids, the inertia parameters of which were known, the error being about 2%. Then.

实验方法的精确性，先用惯性参数已知的椭球体检验之，误差约在2%左右。

7.The results indicate that an obvious correlation appears between the susceptibility ellipsoid and the strain ellipsoids.

结果表明，磁化率椭球与应变椭球之间，显示了密切的相关性。

8.In geometry, we often study the properties of various shapes, including ellipsoids 椭球体.

在几何学中，我们常常研究各种形状的性质，包括ellipsoids 椭球体。

9.Scientists model the Earth as an oblate ellipsoid 椭球体 to account for its equatorial bulge.

科学家将地球建模为一个扁平的ellipsoid 椭球体，以考虑其赤道隆起。

10.The formula for the volume of ellipsoids 椭球体 is derived from the product of its semi-principal axes.

对于ellipsoids 椭球体的体积公式是由其半主轴的乘积推导而来的。

11.In physics, ellipsoids 椭球体 can be used to approximate the shape of atomic nuclei.

在物理学中，ellipsoids 椭球体可以用来近似原子核的形状。

12.When designing lenses, engineers may use ellipsoids 椭球体 to achieve specific focal properties.

在设计镜头时，工程师可能会使用ellipsoids 椭球体来实现特定的焦距特性。

作文

In the realm of geometry, shapes play a crucial role in understanding the world around us. Among these shapes, ellipsoids (椭球体) stand out due to their unique properties and applications. An ellipsoid (椭球体) is a three-dimensional figure that resembles a stretched or compressed sphere. Mathematically, it can be defined as the set of points that satisfy a specific equation in three-dimensional space. The general form of the equation for an ellipsoid (椭球体) is given by: \( \frac{x^2}{a^2} + \frac{y^2}{b^2} + \frac{z^2}{c^2} = 1 \), where \( a \), \( b \), and \( c \) are the semi-principal axes that determine the shape and size of the ellipsoid (椭球体). The understanding of ellipsoids (椭球体) is not just limited to theoretical mathematics; it has practical implications in various fields. One of the most significant applications of ellipsoids (椭球体) is in the field of geodesy, which is the science of measuring and understanding Earth's geometric shape, orientation in space, and gravitational field. The Earth itself is not a perfect sphere but rather an oblate ellipsoid (椭球体) due to its rotation. This means that the distance from the center of the Earth to the equator is greater than the distance to the poles. Understanding this shape helps in accurate mapping and navigation, as it allows scientists and engineers to create models that reflect the true dimensions of our planet. Moreover, ellipsoids (椭球体) are also utilized in computer graphics and visual effects. In 3D modeling, objects are often approximated using ellipsoids (椭球体) because they can be rendered more efficiently than complex shapes. This simplification allows for faster computations and smoother animations, making ellipsoids (椭球体) an essential tool in the gaming and film industries. From a physical perspective, ellipsoids (椭球体) can describe the shape of various objects, such as planets, stars, and even certain biological structures. For example, many cells in living organisms can be approximated as ellipsoids (椭球体), which aids in understanding their properties and behaviors under different conditions. This knowledge is crucial in fields like biology and medicine, where the shape of cells can influence how they interact with their environment and respond to treatments. In summary, the concept of ellipsoids (椭球体) extends far beyond mere mathematical definitions. Their significance in geodesy, computer graphics, and biological sciences highlights their versatility and importance in various domains. By studying ellipsoids (椭球体), we gain insights into the fundamental principles that govern both the natural and artificial worlds. As we continue to explore and innovate, the understanding of shapes like ellipsoids (椭球体) will undoubtedly remain a cornerstone of scientific inquiry and technological advancement.

在几何学的领域中，形状在理解我们周围的世界中扮演着至关重要的角色。在这些形状中，ellipsoids (椭球体)由于其独特的性质和应用而脱颖而出。ellipsoid (椭球体)是一个三维图形，类似于被拉伸或压缩的球体。从数学上讲，它可以定义为满足三维空间中特定方程的一组点。ellipsoid (椭球体)的一般方程形式为：\( \frac{x^2}{a^2} + \frac{y^2}{b^2} + \frac{z^2}{c^2} = 1 \)，其中\( a \)、\( b \)和\( c \)是决定ellipsoid (椭球体)形状和大小的半主轴。对ellipsoids (椭球体)的理解不仅限于理论数学；它在各个领域都有实际应用。 ellipsoids (椭球体)最重要的应用之一是在大地测量学领域，这是研究地球几何形状、空间方向和重力场的科学。地球本身并不是一个完美的球体，而是一个扁球形ellipsoid (椭球体)，这是由于其自转。这意味着从地球中心到赤道的距离大于到两极的距离。理解这种形状有助于准确制图和导航，因为它使科学家和工程师能够创建反映我们星球真实尺寸的模型。 此外，ellipsoids (椭球体)还被用于计算机图形和视觉效果。在3D建模中，物体通常通过ellipsoids (椭球体)来近似，因为与复杂形状相比，它们的渲染效率更高。这种简化使得计算速度更快，动画更流畅，使得ellipsoids (椭球体)成为游戏和电影行业的重要工具。 从物理角度来看，ellipsoids (椭球体)可以描述各种物体的形状，例如行星、恒星，甚至某些生物结构。例如，许多生物体内的细胞可以近似为ellipsoids (椭球体)，这有助于理解它们在不同条件下的属性和行为。这一知识在生物学和医学等领域至关重要，因为细胞的形状可能影响它们如何与环境相互作用以及对治疗的反应。 总之，ellipsoids (椭球体)的概念远不止于数学定义。它们在大地测量学、计算机图形学和生物科学中的重要性突显了它们在各个领域的多功能性和重要性。通过研究ellipsoids (椭球体)，我们获得了对自然和人造世界的基本原则的深入理解。随着我们继续探索和创新，对像ellipsoids (椭球体)这样的形状的理解无疑将继续成为科学探究和技术进步的基石。