convex

简明释义

英[ˈkɒnveks]美[ˈkɑːnveks]

adj. 凸面的，凸出的；凸多边形的

n. 凸面，凸出部分

英英释义

单词用法

同义词

反义词

例句

1.Magnifying the hand in a convex mirror cut pain levels further still.

而在凸面镜中看到自己放大了的手的受试者所感受到的痛感更轻。

2.The moon was above us, a convex shape almost crushing us, a ruined roof, studded with holes like a cheese grater.

月亮就在我们上方，凸面对着我们仿佛要把我们挤压粉碎，像一个荒废的屋顶，满目疮痍像一个干酪粉碎机。

3.Putting water into the lens' chamber turns the normally flat lens a convex hemisphere.

将水注入镜头的腔中时，会把平时平面的镜片变成凸出的半球。

4.They're lenses because they're convex vessels, and when they're full of water, they act as a lens and you see the horizon in them, upside down and backwards.

它们是透镜，因为它们是凸面容器，当它们盛满水后，它们可作为透镜使用，你可以看到它们里面上下颠倒的地平线。

5.The core is a set which satisfies a system of weak linear inequalities, so it is closed and convex.

中心是一个满足弱线性不等式的合集，因此它是封闭的、凸的。

6.You will then be making circles around the other car, but when seeing from above, both of you are driving forward all the time and your path will be convex.

然后你将会一直绕另一辆车转，但当你从上面看，你们两个一直在向前行驶且你们的路径是凸形的。

7.Concavo-convex veins are always used in the design of woolen sweater.

凹凸纹通常用于羊毛衫的设计中。

8.The lens of the camera is convex, which helps to focus light and create a clear image.

相机的镜头是凸的，这有助于聚焦光线并形成清晰的图像。

9.In geometry, a polygon is considered convex if all its interior angles are less than 180 degrees.

在几何学中，如果一个多边形的所有内角都小于180度，则该多边形被视为凸的。

10.The shape of a soap bubble is typically convex due to surface tension.

肥皂泡的形状通常是凸的，这是由于表面张力造成的。

11.A convex mirror is often used in parking lots to provide a wider field of view.

在停车场中，通常使用凸面镜来提供更广阔的视野。

12.The convex hull of a set of points is the smallest convex shape that can enclose all the points.

一组点的凸包是可以包围所有点的最小凸形状。

作文

In the world of geometry, shapes play a crucial role in understanding the properties of various objects. One such important concept is that of a convex (凸的) shape. A shape is considered convex (凸的) if, for any two points within the shape, the line segment connecting these points lies entirely inside the shape. This property makes convex (凸的) shapes particularly interesting and useful in various fields such as mathematics, computer science, and even art.For example, simple shapes like circles, triangles, and rectangles are all examples of convex (凸的) figures. These shapes are not only easy to work with but also have predictable characteristics that can be applied in real-life situations. In contrast, a concave (凹的) shape, which has at least one indentation, can create complexities when analyzing its properties. Understanding the difference between convex (凸的) and concave (凹的) shapes is essential for students studying geometry.One practical application of convex (凸的) shapes is in optimization problems. In mathematics, many optimization techniques rely on the convex (凸的) nature of functions. For instance, if a function is convex (凸的), any local minimum is also a global minimum. This characteristic simplifies problem-solving, as it ensures that there is only one optimal solution to seek. In contrast, non-convex (非凸的) functions can have multiple local minima, making them much more complicated to analyze and solve.Moreover, convex (凸的) shapes are frequently used in computer graphics and design. When creating 3D models or animations, designers often favor convex (凸的) shapes because they are easier to render and manipulate. The convex (凸的) hull of a set of points, which is the smallest convex (凸的) shape that can enclose all the points, is a fundamental concept in computational geometry and is widely used in algorithms.In the realm of art, convex (凸的) shapes can evoke feelings of harmony and balance. Artists often utilize convex (凸的) forms to create sculptures or paintings that draw the viewer's eye and create a sense of completeness. The smooth curves of a convex (凸的) shape can be visually appealing and can contribute to the overall aesthetic of a piece.In conclusion, the concept of convex (凸的) shapes is an essential part of our understanding of geometry and its applications. Whether in mathematics, computer science, or art, convex (凸的) shapes offer valuable properties that simplify analysis and enhance creativity. Recognizing the significance of convex (凸的) shapes allows us to appreciate their role in various fields and encourages further exploration of their properties and applications. As we continue to study and apply these concepts, we deepen our understanding of the world around us and the intricate relationships between shapes and their functions.

在几何学的世界中，形状在理解各种物体的属性方面起着至关重要的作用。一个重要的概念是convex（凸的）形状。如果一个形状被认为是convex（凸的），那么在这个形状内的任意两个点之间连接的线段将完全位于该形状内部。这一属性使得convex（凸的）形状在数学、计算机科学甚至艺术等多个领域都变得特别有趣和有用。例如，简单的形状如圆形、三角形和矩形都是convex（凸的）图形的例子。这些形状不仅易于处理，而且具有可预测的特性，可以应用于现实生活中的各种情况。相比之下，具有至少一个凹陷的形状被称为concave（凹的），在分析其属性时可能会产生复杂性。理解convex（凸的）和concave（凹的）形状之间的区别对于学习几何的学生来说至关重要。Convex（凸的）形状的一个实际应用是在优化问题中。在数学中，许多优化技术依赖于函数的convex（凸的）性质。例如，如果一个函数是convex（凸的），那么任何局部最小值也是全局最小值。这一特征简化了问题解决，因为它确保只有一个最佳解决方案需要寻找。相反，非convex（非凸的）函数可能有多个局部最小值，使其分析和求解变得更加复杂。此外，在计算机图形学和设计中，convex（凸的）形状经常被使用。当创建3D模型或动画时，设计师通常更喜欢convex（凸的）形状，因为它们更容易渲染和操作。包围一组点的convex（凸的）外壳，即可以包围所有点的最小convex（凸的）形状，是计算几何中的基本概念，并广泛应用于算法中。在艺术领域，convex（凸的）形状可以唤起和谐与平衡的感觉。艺术家常常利用convex（凸的）形式来创作雕塑或绘画，以吸引观众的目光并创造一种完整感。Convex（凸的）形状的平滑曲线在视觉上可能令人愉悦，并能增强作品的整体美感。总之，convex（凸的）形状的概念是我们理解几何及其应用的重要组成部分。无论是在数学、计算机科学还是艺术中，convex（凸的）形状都提供了有价值的特性，简化了分析并增强了创造力。认识到convex（凸的）形状的重要性使我们能够欣赏它们在各个领域中的作用，并鼓励进一步探索它们的属性和应用。当我们继续研究和应用这些概念时，我们加深了对周围世界的理解以及形状与其功能之间的复杂关系。