high order

简明释义

高阶

英英释义

Referring to a level of complexity or abstraction that is significantly advanced or elevated in comparison to lower orders.

指与较低级别相比,复杂性或抽象程度显著提高或升高的水平。

In mathematics, it can refer to functions, equations, or derivatives that involve higher degrees or dimensions.

在数学中,它可以指涉及更高次数或维度的函数、方程或导数。

例句

1.In mathematics, a polynomial of high order 高阶 can have multiple roots and complex behavior.

在数学中,一个高阶的多项式可能有多个根和复杂的行为。

2.The project requires a solution of high order 高阶 to address the complex issues at hand.

该项目需要一个高阶的解决方案来处理复杂的问题。

3.We need to apply high order 高阶 statistical methods to analyze the data accurately.

我们需要应用高阶统计方法来准确分析数据。

4.The algorithm uses a high order 高阶 approach to improve performance and accuracy.

该算法采用高阶的方法来提高性能和准确性。

5.The software is designed to handle high order 高阶 calculations efficiently.

该软件旨在高效处理高阶计算。

作文

In the realm of mathematics and science, the term high order refers to concepts or equations that involve higher degrees of complexity and abstraction. For instance, when we talk about a polynomial equation of degree three or more, we are dealing with a high order polynomial. These equations often require advanced techniques for solving them, making them crucial in various fields such as physics, engineering, and computer science. Understanding high order equations is essential for students who aspire to excel in these disciplines.Moreover, in the context of algorithms, high order can also describe the efficiency and complexity of computational processes. Algorithms that operate on high order data structures, such as trees or graphs, can perform significantly more complex operations than those that deal with simpler structures like arrays or lists. This complexity often translates into better performance for large datasets, which is vital in today’s data-driven world.In everyday life, we encounter high order thinking when we engage in critical analysis or problem-solving. For example, when faced with a challenging situation, individuals must evaluate multiple variables and potential outcomes. This requires a high order of thinking, as it goes beyond simple recall of facts or procedures. Instead, it involves synthesis, evaluation, and creativity to arrive at a solution.Furthermore, educational systems increasingly emphasize the importance of high order thinking skills. Teachers are encouraged to design curricula that promote analytical reasoning and problem-solving abilities rather than rote memorization. This shift aims to prepare students for real-world challenges where they must apply their knowledge creatively and effectively.In conclusion, the concept of high order permeates various fields, from mathematics to education. It signifies a level of complexity and sophistication that is essential for advancement in academic and professional pursuits. By fostering high order thinking, we equip ourselves and future generations with the tools necessary to navigate an increasingly complex world. Whether in solving mathematical problems, developing efficient algorithms, or tackling everyday challenges, embracing high order concepts will undoubtedly enhance our capabilities and understanding of the world around us.

在数学和科学领域,术语高阶指的是涉及更高复杂性和抽象概念的概念或方程。例如,当我们谈论一个三次或更高次数的多项式方程时,我们正在处理一个高阶多项式。这些方程通常需要高级技术来解决它们,使其在物理、工程和计算机科学等各个领域至关重要。理解高阶方程对于希望在这些学科中出类拔萃的学生来说是必不可少的。此外,在算法的上下文中,高阶还可以描述计算过程的效率和复杂性。操作高阶数据结构(如树或图)的算法可以执行比处理简单结构(如数组或列表)的算法更复杂的操作。这种复杂性通常转化为对大型数据集更好的性能,这在当今的数据驱动世界中至关重要。在日常生活中,当我们参与批判性分析或解决问题时,我们会遇到高阶思维。例如,当面临一个具有挑战性的情况时,个人必须评估多个变量和潜在结果。这需要一种高阶思维,因为它超越了简单的事实或程序记忆。相反,它涉及综合、评估和创造力,以得出解决方案。此外,教育系统越来越强调高阶思维技能的重要性。教师被鼓励设计促进分析推理和解决问题能力的课程,而不是死记硬背。这一转变旨在为学生准备现实世界中的挑战,在那里他们必须创造性和有效地应用他们的知识。总之,高阶的概念渗透到各个领域,从数学到教育。它标志着一种复杂性和精致程度,对于学术和专业追求的进步至关重要。通过培养高阶思维,我们为自己和未来几代人提供了应对日益复杂世界所需的工具。无论是在解决数学问题、开发高效算法还是应对日常挑战,拥抱高阶概念无疑会增强我们的能力和对周围世界的理解。