irreducibility

简明释义

英[/ˌɪrəˈdjuːsəˈbɪlɪti/]美[/ˌɪrəˈdjuːsəˈbɪlɪti/]

n. [数] 不可约性

英英释义

单词用法

同义词

反义词

例句

1.The system of educational activities is a special complex system, it has the characteristics of nonlinear, irreducibility, self organization, contingency etc.

教育活动系统是一个特殊的复杂系统，具有非线性、不可还原性、自组织性、偶然性等特征。

2.Main Outcome Measures: Clinical and radiographic markers of irreducibility, surgical findings, fixation methods, reduction accuracy, and injury - and treatment-related complications.

结果评估：包括难复性的临床和放射影像学评定，手术所见，固定方法，复位的精确性，以及损伤和治疗相关并发症。

3.The system of teaching activities is a special complex system; it has the characteristics of non-linear, irreducibility, self-organization, contingency, openness etc.

课堂教学活动是一个特殊的复杂系统，具有非线性、不可还原性、自组织性、偶然性和开放性等特征。

4.It is also a form of dualism, because it allows the irreducibility of mental states and properties.

它也是一种二元论形式，因为它承认心理状态和属性的不可还原性。

5.Main Outcome Measures: Clinical and radiographic markers of irreducibility, surgical findings, fixation methods, reduction accuracy, and injury - and treatment-related complications.

结果评估：包括难复性的临床和放射影像学评定，手术所见，固定方法，复位的精确性，以及损伤和治疗相关并发症。

6.The mathematician proved the irreducibility of the polynomial, which means it cannot be factored into simpler polynomials.

数学家证明了这个多项式的不可约性，这意味着它无法被分解成更简单的多项式。

7.The irreducibility of the complex system makes it challenging to simplify its components for analysis.

复杂系统的不可约性使得简化其组件以进行分析变得具有挑战性。

8.In our discussion about the project, we talked about the irreducibility of certain requirements that must be met.

在我们关于项目的讨论中，我们谈到了某些必须满足的要求的不可约性。

9.He explained the irreducibility of the concept, emphasizing that it cannot be broken down into smaller parts.

他解释了这个概念的不可约性，强调它不能被分解成更小的部分。

10.The irreducibility of the legal document ensured that all terms were binding and could not be altered.

法律文件的不可约性确保所有条款都是有约束力的，并且不能被更改。

作文

In the realm of mathematics, the concept of irreducibility is crucial in understanding the nature of certain equations and polynomials. When we refer to a polynomial as being irreducible, we mean that it cannot be factored into simpler polynomials with coefficients in a given field or ring. This property is essential for various areas of algebra, including number theory and algebraic geometry. For instance, the polynomial x^2 + 1 is irreducible over the real numbers because it does not have any real roots and cannot be expressed as a product of linear factors with real coefficients.The significance of irreducibility extends beyond pure mathematics; it also finds applications in computer science, particularly in the field of cryptography. Many cryptographic algorithms rely on the irreducibility of certain mathematical structures to ensure security. For example, the security of public key cryptography often depends on the difficulty of factoring large numbers, which is closely related to the irreducibility of polynomials used in the encryption process.Moreover, the notion of irreducibility can be applied metaphorically in various aspects of life. There are situations and experiences that one might consider irreducible, meaning they cannot be simplified or reduced without losing their essence. For instance, personal relationships often involve complexities that are irreducible; simplifying them might lead to misunderstandings or conflicts. Each relationship carries its unique dynamics, emotions, and histories that cannot be easily distilled into simple terms.In literature, authors frequently explore themes of irreducibility through character development and plot intricacies. A character's motivations and experiences may be irreducible, shaped by a myriad of factors such as culture, upbringing, and personal choices. This complexity makes literary works rich and compelling, inviting readers to engage deeply with the characters' journeys.Furthermore, in philosophy, the idea of irreducibility raises questions about the nature of reality and existence. Philosophers debate whether certain phenomena are irreducible to physical explanations or if they require a more profound understanding. For example, the experience of consciousness is often regarded as irreducible because it encompasses subjective experiences that cannot be fully explained by neuroscience alone.In conclusion, the term irreducibility encompasses a wide range of meanings across different disciplines. Whether in mathematics, computer science, personal relationships, literature, or philosophy, the concept of irreducibility highlights the complexity and depth of various subjects. It serves as a reminder that some things in life are inherently intricate and cannot be easily simplified or understood at a superficial level. Embracing this complexity can lead to a richer understanding of the world around us, encouraging us to appreciate the nuances that make life truly fascinating.

在数学领域，不可约性的概念对于理解某些方程和多项式的性质至关重要。当我们说一个多项式是不可约的时，我们的意思是它不能被分解为在给定域或环中具有系数的更简单的多项式。这一特性对代数的各个领域都至关重要，包括数论和代数几何。例如，多项式x^2 + 1在实数域上是不可约的，因为它没有任何实根，并且不能用实系数的线性因子表示。不可约性的重要性超越了纯数学，它在计算机科学中也有应用，特别是在密码学领域。许多密码算法依赖于某些数学结构的不可约性来确保安全性。例如，公钥密码学的安全性往往取决于分解大数的困难性，这与加密过程中使用的多项式的不可约性密切相关。此外，不可约性的概念在生活的各个方面也可以隐喻性地应用。有些情况和经历可以被视为不可约的，意味着它们无法简化或减少而不失去其本质。例如，人际关系往往涉及复杂性，这些复杂性是不可约的；简化它们可能导致误解或冲突。每段关系都有其独特的动态、情感和历史，这些是无法轻易提炼成简单术语的。在文学中，作者经常通过角色发展和情节复杂性探讨不可约性的主题。一个角色的动机和经历可能是不可约的，受到文化、成长背景和个人选择等多种因素的影响。这种复杂性使得文学作品丰富而引人入胜，邀请读者深入参与角色的旅程。此外，在哲学中，不可约性的观念引发了关于现实和存在本质的问题。哲学家们争论某些现象是否不可约于物理解释，或者是否需要更深刻的理解。例如，意识的体验通常被认为是不可约的，因为它包含了无法仅通过神经科学完全解释的主观体验。总之，不可约性这个术语涵盖了不同学科的广泛含义。无论是在数学、计算机科学、人际关系、文学还是哲学中，不可约性的概念突显了各种主题的复杂性和深度。它提醒我们，生活中的某些事物本质上是复杂的，无法轻易简化或在表面层面上理解。拥抱这种复杂性可以带来对周围世界更丰富的理解，鼓励我们欣赏那些使生活真正迷人的细微差别。