invariant

简明释义

[ɪnˈveəriənt][ɪnˈveriənt]

adj. 不变的

n. [数] 不变量;[计] 不变式

英英释义

An invariant is a property or condition that remains unchanged under certain transformations or operations.

不变量是指在某些变换或操作下保持不变的属性或条件。

In mathematics, an invariant is a quantity that does not change its value when the system undergoes changes.

在数学中,不变量是指在系统发生变化时其值不变的量。

单词用法

time invariant

时不变的;时不变

invariant system

不变系统;不变量系统;无变系

同义词

constant

常量

The speed of light in a vacuum is considered a constant.

真空中的光速被认为是一个常量。

unchanging

不变的

The laws of physics are unchanging across the universe.

物理定律在宇宙中是不变的。

fixed

固定的

The temperature remained fixed throughout the experiment.

实验过程中温度保持固定。

stable

稳定的

A stable system will return to its original state after a disturbance.

一个稳定的系统在干扰后会恢复到其原始状态。

反义词

variant

变体

The variant of the software includes several new features.

该软件的变体包含多个新功能。

variable

变量

In this experiment, the variable factors were carefully controlled.

在这个实验中,变量因素被仔细控制。

例句

1.A class invariant must hold before and after all method calls (once the object is constructed).

类在方法调用之前和之后必须保持不变(一旦对象已经构建)。

2."Once we scale up, algorithms must be sensitive to tiny changes in identities and at the same time invariant to lighting, pose, age," Kemelmacher-Shlizerman said.

凯梅尔马赫·施勒泽曼说:“一旦扩大规模,算法必须对身份的细微变化敏感,同时不受光照、姿势和年龄影响。”

3.Container directives (policies) that are invariant for all instances of the implementation.

对所有实现实例都保持不变的容器指示(策略)。

4.Similarly, field-invariant tests are never evaluated during object construction, but they are evaluated after construction completes.

类似地,字段的不变条件测试从不在对象构造期间进行,但是它们会在构造完成之后进行。

5.By the way, notice the comments asserting what invariant we expect to hold in the body of each if statement.

顺便注意一下断定每个if语句正文中希望保留的不变量的注释。

6.You should also move it outside of the loop since its value is invariant. So, in the.data section, add.

也可以将其移出循环,因为这个值是不变的。

7.Consistency: a transaction preserves all the invariant properties (such as integrity constraints) defined on the data.

一致性:事务保持数据上定义的所有不变的属性(如完整性约束)。

8.A model-driven representation has a domain-invariant schema: it is generic enough to express any persistent type.

模型驱动表现具有一个域不变模式:它足够普通,可表示任何持久化类型。

9.The invariant 不变性 of the system ensures that the output remains consistent despite changes in input.

系统的 invariant 不变性 确保输出在输入变化时仍然保持一致。

10.The laws of physics are often described using invariant 不变的 principles that apply universally.

物理定律通常使用适用于普遍的 invariant 不变的 原则进行描述。

11.In computer science, algorithms can have invariant 不变性 conditions that must hold true at certain points in their execution.

在计算机科学中,算法可以有在其执行的某些点必须保持为真的 invariant 不变性 条件。

12.In mathematics, an invariant 不变量 is a property that remains unchanged under certain transformations.

在数学中,invariant 不变量 是在某些变换下保持不变的属性。

13.In geometry, certain shapes have properties that are invariant 不变的 under rotation and translation.

在几何学中,某些形状在旋转和平移下具有 invariant 不变的 属性。

作文

In the realm of mathematics and computer science, the term invariant refers to a property or condition that remains unchanged under certain transformations or operations. This concept is crucial in various fields, including algebra, geometry, and programming. For instance, in algebra, an invariant might be a specific quantity that does not alter even when other variables change. Understanding invariant properties helps mathematicians and scientists to simplify complex problems and to identify patterns that can lead to deeper insights.Moreover, in the field of programming, particularly in software development, invariant conditions are essential for ensuring the correctness of algorithms. A programmer may define an invariant condition that must hold true at specific points during the execution of a program. For example, in a sorting algorithm, the invariant could be that the elements before a certain index are always sorted. This allows developers to reason about the state of the program and verify that it behaves as expected.The significance of invariant extends beyond mathematics and computer science; it also plays a vital role in physics. In physics, an invariant quantity is one that remains constant regardless of the observer's frame of reference. A classic example is the speed of light, which is considered an invariant in the theory of relativity. No matter how fast an observer is moving, the speed of light remains the same, illustrating the profound implications of invariant properties in understanding the universe.Furthermore, the concept of invariant can be applied in everyday life and decision-making processes. For instance, when evaluating the effectiveness of a business strategy, certain key performance indicators (KPIs) can serve as invariant measures of success. These KPIs remain critical benchmarks that help businesses assess their performance over time, despite fluctuations in the market or changes in consumer behavior.In summary, the term invariant encompasses a wide range of applications across different disciplines. Its ability to signify stability and constancy amidst change makes it a powerful concept. Whether in mathematics, computer science, physics, or even in business, recognizing and utilizing invariant properties enables individuals and organizations to make informed decisions and to develop robust theories and systems. As we continue to explore the complexities of our world, the understanding of invariant characteristics will undoubtedly remain a cornerstone of analytical thinking and problem-solving.In conclusion, the exploration of invariant concepts reveals their importance in both theoretical and practical contexts. By grasping the essence of invariant properties, we can enhance our understanding of various phenomena and improve our approaches to tackling challenges in diverse fields. Therefore, embracing the idea of invariant not only enriches our intellectual pursuits but also equips us with the tools necessary for effective analysis and decision-making.

在数学和计算机科学领域,术语不变量指的是在某些变换或操作下保持不变的属性或条件。这个概念在代数、几何和编程等多个领域中至关重要。例如,在代数中,一个不变量可能是一个即使其他变量变化也不会改变的特定量。理解不变量属性有助于数学家和科学家简化复杂问题,并识别出可以带来更深刻见解的模式。此外,在编程领域,特别是在软件开发中,不变量条件对于确保算法的正确性至关重要。程序员可能会定义一个不变量条件,该条件必须在程序执行的特定时刻保持成立。例如,在排序算法中,不变量可能是某个索引之前的元素总是已排序的。这使得开发人员能够推理程序的状态,并验证其是否按预期运行。不变量的重要性超越了数学和计算机科学;它在物理学中也发挥着重要作用。在物理学中,不变量量是指无论观察者的参考系如何,都保持不变的量。经典的例子是光速,在相对论理论中被认为是一个不变量。无论观察者多么快速移动,光速始终保持不变,这说明了不变量属性在理解宇宙中的深远影响。此外,不变量的概念还可以应用于日常生活和决策过程。例如,在评估商业战略的有效性时,某些关键绩效指标(KPI)可以作为不变量的成功衡量标准。这些KPI依然是帮助企业评估其长期表现的关键基准,尽管市场波动或消费者行为发生变化。总之,术语不变量涵盖了不同学科中广泛的应用。它在变化中象征着稳定和恒定的能力使其成为一个强大的概念。无论是在数学、计算机科学、物理学,还是在商业中,识别和利用不变量属性能够使个人和组织做出明智的决策,并发展出稳健的理论和系统。随着我们继续探索世界的复杂性,对不变量特性的理解无疑将继续成为分析思维和解决问题的基石。最后,探讨不变量概念揭示了其在理论和实践背景中的重要性。通过掌握不变量属性的本质,我们可以增强对各种现象的理解,并改善我们应对各领域挑战的方法。因此,拥抱不变量的理念不仅丰富了我们的智力追求,还为我们提供了有效分析和决策所需的工具。