boundedness
简明释义
n. [数] 有界性；局限性
英英释义
具有限制或边界的状态。 | |
In mathematics, a property of a set that indicates it is contained within some finite bounds. | 在数学中，指一个集合的属性，表明它被包含在某些有限的界限内。 |
单词用法
有界性条件 | |
有界性属性 | |
有界性假设 | |
函数的有界性 | |
序列的有界性 | |
有界性与紧致性 |
同义词
反义词
| 无界性 | 宇宙的无界性让科学家们着迷。 | ||
| 无限性 | 在数学中，无限性可能导致悖论。 |
例句
1.Second, the accounting system lag, to the question which and the new economic work appears newly does not have boundedness;
二是会计制度滞后，对新出现的问题及新经济业务不具约束性；
2.For doubling measure, the boundedness of the sub-linear operator plays an important role in many problems.
在双倍测度下，次线性算子有界性问题的研究起到非常重要的作用。
3.Furthermore, a continuation theorem for stochastic functional differential equations of Ito-type is given by using stochastic analysis technique and the quasi-boundedness condition.
其次，利用随机分析技巧和拟有界条件，建立了伊藤随机泛函微分方程解的延拓定理；
4.By using the method of spherical harmonic, the boundedness of a kind of singular integral operator in product domains is given in this paper.
用球调和的方法研究了一类乘积空间上奇异积分算子的有界性，所获得的结果给出了以往奇异积分算子有界性的应用。
5.Based on the boundedness of chaotic systems, the extended state observer which is independent of plant model can be used to observe the states of a class of chaotic systems.
基于混沌系统运动的有界性，使得不依赖于对象模型的扩张状态观测器可用于一类混沌系统的状态观测。
6.Discuss a growth model of Isochrysis galbana, obtain sufficient condition for boundedness, limiting quality, stability and bifurcation.
讨论了一类藻类生长模型，得到了有界性、极限性质、稳定性与产生分支的充分条件。
7.Some boundedness theorems are given, and some simple atomic decompositions are also proved.
给出了几个有界性定理，证明了鞅空间的简单原子分解。
8.In this paper, We consider a class of degenerate elliptic systems in diagonal form and prove the global boundedness for generalized solutions.
本文考虑一类对角型蜕化椭圆组，证明了广义解的整体有界性。
9.In this paper, the equivalent relation of boundedness and continuity at zero for homogeneous operator in normal linear space is proved.
本文证明了赋范线性空间中有界齐性算子与在零点连续的齐性算子等价。
10.The boundedness of the project timeline means we need to prioritize tasks effectively.
项目时间表的有界性意味着我们需要有效地优先安排任务。
11.The boundedness of the function ensures that it does not approach infinity.
函数的有界性确保它不会趋向于无穷大。
12.In mathematics, the concept of boundedness refers to a set that is contained within some limits.
在数学中，有界性的概念指的是一个集合被包含在某些限制之内。
13.Understanding the boundedness of resources is crucial for sustainable development.
理解资源的有界性对可持续发展至关重要。
14.In psychology, boundedness can refer to the limitations we place on our own potential.
在心理学中，有界性可以指我们对自己潜力施加的限制。
作文
In our lives, we often seek freedom and the ability to explore the vast opportunities that the world offers. However, this quest for freedom can sometimes lead us to overlook the importance of boundedness (有限性) in our lives. The concept of boundedness is not merely a restriction but rather a framework within which we can thrive and grow. It is essential to understand that having boundaries can enhance our experiences rather than limit them.Firstly, boundedness provides us with a sense of security. When we have clear boundaries in our personal and professional lives, we know what is expected of us and what we can expect from others. This sense of predictability allows us to navigate our relationships with confidence. For instance, in a work environment, defined roles and responsibilities create a structure that enables collaboration and efficiency. Without such boundedness, chaos may ensue, leading to misunderstandings and conflicts.Moreover, boundedness fosters creativity. Though it may seem counterintuitive, limitations can actually spark innovation. Artists, writers, and musicians often work within specific genres or styles that serve as their boundaries. These constraints push them to think outside the box and come up with unique solutions and ideas. For example, a poet writing within the confines of a sonnet form must be creative with word choice and structure, resulting in some of the most beautiful works of literature. In this way, boundedness can be seen as a catalyst for artistic expression.Additionally, boundedness encourages personal growth. When we set limits on our time and energy, we can prioritize what truly matters to us. By establishing boundaries in our daily routines, we can focus on our goals and aspirations. For instance, if someone decides to limit their screen time, they might find themselves with more hours to dedicate to hobbies, learning new skills, or spending quality time with loved ones. This intentional practice of boundedness helps individuals lead more fulfilling lives.Furthermore, boundedness plays a crucial role in mental health. In a world where we are constantly bombarded with information and demands, it is vital to set limits to protect our well-being. By recognizing when to say no and establishing boundaries in our interactions, we can reduce stress and avoid burnout. This self-awareness is a fundamental aspect of maintaining a healthy balance in life. For instance, someone might choose to limit their involvement in social media to preserve their mental health, demonstrating how boundedness can lead to a more peaceful state of mind.In conclusion, while the desire for freedom and exploration is natural, it is equally important to recognize the value of boundedness (有限性). Boundaries provide security, foster creativity, encourage personal growth, and contribute to mental well-being. By embracing boundedness in our lives, we can create a structured environment that allows us to flourish and reach our full potential. Rather than viewing boundedness as a limitation, we should appreciate it as a necessary framework that supports our journey towards success and fulfillment.
在我们的生活中，我们常常追求自由和探索世界所提供的广阔机会。然而，这种对自由的追求有时会让我们忽视生活中
