pseudovector

简明释义

英[ˈsuːdoʊˌvɛktər]美[ˈsuːdoʊˌvɛktər]

[数] 伪矢量

[物] 赝矢量

英英释义

单词用法

同义词

反义词

例句

1.The dot product of a pseudovector and a vector is called a pseudoscalar.

一个赝矢量和一个矢量的标识称为赝标量。

2.A rotational pseudovector is introduced for conveniently describing the finite rotations of cross-sections.

为了方便描述曲梁横截面的有限转动，引入了转角伪矢量的概念。

3.A rotational pseudovector is introduced for conveniently describing the finite rotations of cross-sections.

为了方便描述曲梁横截面的有限转动，引入了转角伪矢量的概念。

4.In fluid dynamics, vorticity can be described using a pseudovector 伪矢量 that indicates the local rotation of fluid elements.

在流体动力学中，涡度可以用一个 pseudovector 伪矢量 来描述，该伪矢量表示流体元素的局部旋转。

5.In particle physics, the pseudovector 伪矢量 is often used to describe quantities that have direction but do not transform like regular vectors.

在粒子物理学中，pseudovector 伪矢量 通常用于描述具有方向但不按常规矢量变换的量。

6.The angular momentum of a system can be represented as a pseudovector 伪矢量, which helps in understanding its rotational properties.

系统的角动量可以表示为一个 pseudovector 伪矢量，这有助于理解其旋转特性。

7.The cross product of two vectors results in a pseudovector 伪矢量, which represents an axis of rotation.

两个矢量的叉积结果是一个 pseudovector 伪矢量，它表示旋转轴。

8.In electromagnetism, the magnetic field can be treated as a pseudovector 伪矢量 when analyzing its interactions with charged particles.

在电磁学中，当分析磁场与带电粒子的相互作用时，磁场可以被视为一个 pseudovector 伪矢量。

作文

In the realm of physics and mathematics, the concept of a pseudovector plays a crucial role in understanding various phenomena. A pseudovector, also known as an axial vector, is a quantity that behaves like a vector under proper rotations but changes sign under improper rotations, such as reflections. This property distinguishes pseudovectors from regular vectors, which maintain their direction and magnitude regardless of the type of transformation applied to them.To illustrate this concept, consider the example of angular momentum. Angular momentum is represented as a pseudovector because it depends on the rotational motion of an object. When an object spins around an axis, its angular momentum points along that axis, adhering to the right-hand rule. However, if we were to reflect this motion, for instance, by flipping the coordinate system, the direction of the angular momentum would invert. This behavior exemplifies the defining characteristic of a pseudovector.Another common example is the magnetic field. The magnetic field can be considered a pseudovector because it results from moving electric charges. When charges move, they generate a magnetic field that has a specific orientation based on the motion of the charges. If we were to reflect the system, the direction of the magnetic field would change, again highlighting the nature of pseudovectors.Understanding pseudovectors is essential not only in theoretical physics but also in practical applications such as engineering and computer graphics. In engineering, for instance, the analysis of forces and torques often involves pseudovectors. Engineers must account for the direction and rotation of forces to design stable structures and mechanisms. Similarly, in computer graphics, the manipulation of objects in three-dimensional space requires a comprehensive grasp of both vectors and pseudovectors to achieve realistic animations and simulations.Moreover, the distinction between vectors and pseudovectors is vital for understanding physical laws and symmetries. Many fundamental physical laws, such as conservation of angular momentum, rely on the properties of pseudovectors. These laws govern the behavior of systems and help predict outcomes in various scenarios, from celestial mechanics to quantum physics.In summary, the concept of a pseudovector is integral to the study of physics and mathematics. By recognizing the unique characteristics of pseudovectors, one can better understand the complexities of rotational motion and its implications in real-world applications. Whether in the classroom or in professional practice, grasping the intricacies of pseudovectors enriches our comprehension of the universe and enhances our ability to innovate and solve problems. As we continue to explore the depths of science and technology, the importance of pseudovectors will undoubtedly remain a significant aspect of our intellectual journey.

在物理和数学领域，伪向量的概念在理解各种现象方面发挥着至关重要的作用。伪向量，也称为轴向向量，是一种在适当旋转下表现得像向量的量，但在不当旋转（如反射）下会改变符号。这一特性使得伪向量与常规向量区分开来，后者在应用于它们的任何变换类型时，方向和大小都保持不变。为了说明这一概念，可以考虑角动量的例子。角动量被表示为伪向量，因为它依赖于物体的旋转运动。当一个物体围绕某个轴旋转时，它的角动量沿着该轴指向，遵循右手法则。然而，如果我们反射这种运动，例如通过翻转坐标系，角动量的方向将会反转。这种行为例证了伪向量的定义特征。另一个常见的例子是磁场。磁场可以被视为伪向量，因为它是由移动的电荷产生的。当电荷移动时，它们会产生一个具有特定方向的磁场，这个方向基于电荷的运动。如果我们反射系统，磁场的方向将会改变，再次突显了伪向量的性质。理解伪向量不仅在理论物理中至关重要，在工程和计算机图形学等实际应用中也同样重要。例如，在工程学中，力和力矩的分析通常涉及伪向量。工程师必须考虑力的方向和旋转，以设计稳定的结构和机制。同样，在计算机图形学中，操纵三维空间中的物体需要全面掌握向量和伪向量，以实现逼真的动画和模拟。此外，向量和伪向量之间的区别对于理解物理定律和对称性至关重要。许多基本物理定律，如角动量守恒，依赖于伪向量的特性。这些定律支配着系统的行为，并帮助预测各种情境中的结果，从天体力学到量子物理。总之，伪向量的概念是物理和数学研究的核心。通过认识伪向量的独特特性，人们可以更好地理解旋转运动的复杂性及其在现实世界应用中的影响。无论是在课堂上还是在专业实践中，掌握伪向量的复杂性都丰富了我们对宇宙的理解，并增强了我们创新和解决问题的能力。随着我们继续探索科学和技术的深度，伪向量的重要性无疑将继续成为我们智力旅程的重要组成部分。