cubature

简明释义

英[ˈkjuːbətʃə]美[ˈkjʊbətʃər]

n. 求容积法

英英释义

单词用法

同义词

反义词

例句

1.When we calculate reserves with traditional cubature, parameters of reservoir bed we use are average values. This ignores anisotropic factors of reservoirs, so that affects accuracy of calculate.

用传统容积法计算储量时，由于对储层参数采用的是平均值而忽略了储层的非均质因素，影响了储量计算的准确性。

2.The construction of boundary type cubature is a problem that has been noticed for a very long time in numerical integration.

边界型求积公式是数值积分法研究方向早就被注意的问题。

3.The main research content is as follows:(1) Reduced collocation response surface model (RCRSM) is constructed using polynomial chaos expansion (PCE) with points of monomial cubature rule (MCR).

主要研究内容如下：（1）基于单项式容积法和混沌多项式展开，构造了简约配点响应面模型。

4.The expressive cubature of the building, the free-flowing forms and fabric of the facade require a fitting response in the design of the interior.

该建筑的求容积表达，外观自由流动的形式和构造都需要室内设计有适宜的回应。

5.The exterior was handled with equally sensitive care subjecting the cubature and façade to only minimal changes.

室外因受尺寸和立面的限制，只做了最小的改变，但是同样关注于细节。

6.When we calculate reserves with traditional cubature, parameters of reservoir bed we use are average values. This ignores anisotropic factors of reservoirs, so that affects accuracy of calculate.

用传统容积法计算储量时，由于对储层参数采用的是平均值而忽略了储层的非均质因素，影响了储量计算的准确性。

7.This paper presents a free vibration study of moderately thick super-elliptical plates with various boundary constraints using the differential cubature method.

本文用一种新型的数值方法枣微分容积法求解任意边界条件下超椭圆形中厚板的自由振动问题。

8.The boundary type cubature is quite the type of formulae that only use numerical values on the boundary of the domain.

边界型求积公式正是仅仅利用被积函数在区域边界上的数值构造的公式。

9.The engineer used numerical methods to calculate the cubature of the irregularly shaped tank.

工程师使用数值方法计算不规则形状水箱的立体积分。

10.He explained the concept of cubature during the mathematics seminar.

他在数学研讨会上解释了立体积分的概念。

11.The software package includes tools for performing cubature on multi-dimensional data.

该软件包包含用于对多维数据执行立体积分的工具。

12.To ensure accuracy, we must refine our cubature algorithms for better results.

为了确保准确性，我们必须优化我们的立体积分算法以获得更好的结果。

13.In computational geometry, cubature helps in estimating the volume of complex shapes.

在计算几何中，立体积分有助于估算复杂形状的体积。

作文

In the field of mathematics, particularly in calculus, the term cubature refers to the process of determining the volume of a three-dimensional shape or solid. This concept is essential in various applications, from engineering to physics, where understanding the volume of objects is crucial. The term itself comes from the Latin word 'cubatura', which means 'the measurement of a cube'.立方体的测量 Cubature can be thought of as the three-dimensional counterpart to integration in calculus, where we find the area under a curve in two dimensions. Just as we use definite integrals to calculate areas, we can apply similar principles to compute volumes. For example, when trying to determine the volume of a sphere, we can use integral calculus to set up an equation that allows us to find its volume based on its radius. This is where the beauty of mathematics lies, as it provides us with tools to explore and understand the physical world around us.它为我们提供了工具，去探索和理解我们周围的物理世界。One of the most common methods used for cubature is the Monte Carlo method, which relies on random sampling to estimate the volume of complex shapes. This technique is especially useful when dealing with irregular geometries where traditional methods may fall short. By randomly generating points within a bounding box that contains the shape, we can calculate the ratio of points that fall inside the shape versus the total number of points. This ratio, multiplied by the volume of the bounding box, gives us an estimate of the volume of the irregular shape.不规则形状的体积估计 Moreover, cubature is not limited to simple geometric shapes; it extends to more complex scenarios such as fluid dynamics and thermodynamics, where understanding the volume of fluids in motion is vital. Engineers often rely on cubature calculations to design systems that involve the flow of liquids or gases, ensuring that their designs are efficient and effective.确保他们的设计是高效和有效的。 In practical applications, the importance of cubature cannot be overstated. For instance, in construction, accurately calculating the volume of materials needed for a project—such as concrete for a foundation—can significantly impact both cost and resource management. Similarly, in environmental science, estimating the volume of pollutants in a body of water can inform remediation efforts and conservation strategies.环境科学中，估计水体中污染物的体积可以指导修复工作和保护策略。 In conclusion, the concept of cubature is fundamental to our understanding of volume in three-dimensional space. It bridges the gap between theoretical mathematics and practical applications across various fields. Whether through traditional calculus methods or innovative techniques like the Monte Carlo method, cubature plays a crucial role in helping us quantify and analyze the world around us. As we continue to advance in technology and science, the relevance of cubature will only grow, cementing its place as a vital component in the toolkit of mathematicians, engineers, and scientists alike.立方计算在数学家、工程师和科学家的工具箱中的重要性将不断增长。

在数学领域，尤其是在微积分中，术语立方计算指的是确定三维形状或固体体积的过程。这个概念在各种应用中都是至关重要的，从工程到物理学，了解物体的体积是非常重要的。这个术语本身源自拉丁文单词'cubatura'，意思是'立方体的测量'。立方体的测量 立方计算可以被视为微积分中积分的三维对应物，我们在二维中找到曲线下的面积。正如我们使用定积分来计算面积一样，我们也可以应用类似的原理来计算体积。例如，当我们试图确定一个球体的体积时，我们可以使用积分微积分来建立一个方程，使我们能够根据半径找到其体积。这就是数学之美所在，因为它为我们提供了工具去探索和理解我们周围的物理世界。它为我们提供了工具，去探索和理解我们周围的物理世界。用于立方计算的最常见方法之一是蒙特卡洛方法，它依赖于随机抽样来估计复杂形状的体积。当处理不规则几何形状时，这种技术尤其有用，因为传统方法可能会失效。通过在包含形状的边界框内随机生成点，我们可以计算落在形状内部的点与总点数的比率。这个比率乘以边界框的体积，就给我们提供了不规则形状体积的估计。不规则形状的体积估计 此外，立方计算不仅限于简单的几何形状；它扩展到更复杂的场景，如流体动力学和热力学，在这些领域中，了解运动流体的体积至关重要。工程师通常依赖于立方计算来设计涉及液体或气体流动的系统，确保他们的设计高效且有效。确保他们的设计是高效和有效的。 在实际应用中，立方计算的重要性不容小觑。例如，在建筑中，准确计算项目所需材料的体积——例如基础的混凝土——可以显著影响成本和资源管理。同样，在环境科学中，估计水体中污染物的体积可以指导修复工作和保护策略。环境科学中，估计水体中污染物的体积可以指导修复工作和保护策略。 总之，立方计算的概念对我们理解三维空间中的体积至关重要。它弥合了理论数学与各个领域实际应用之间的鸿沟。无论是通过传统的微积分方法还是创新的技术，如蒙特卡洛方法，立方计算在帮助我们量化和分析周围世界中发挥着至关重要的作用。随着我们在技术和科学上的不断进步，立方计算的相关性只会增加，巩固其作为数学家、工程师和科学家工具箱中重要组成部分的地位。立方计算在数学家、工程师和科学家的工具箱中的重要性将不断增长。