cancellation law

简明释义

相消律;

英英释义

例句

1.After reviewing the cancellation law 取消法, the team decided to adjust their contract terms.

在审查了取消法 cancellation law 后，团队决定调整他们的合同条款。

2.The cancellation law 取消法 allows for refunds in cases of service cancellations.

在服务取消的情况下，取消法 cancellation law 允许退款。

3.Under the cancellation law 取消法, consumers have the right to cancel their purchase within a specified period.

根据取消法 cancellation law，消费者有权在规定的期限内取消购买。

4.Many businesses are not aware of the implications of the cancellation law 取消法 on their return policies.

许多企业并不了解取消法 cancellation law 对其退货政策的影响。

5.The lawyer explained how the cancellation law 取消法 applies to this contract dispute.

律师解释了如何将取消法 cancellation law 应用于这场合同争议。

作文

In the realm of mathematics, particularly in algebra, there exists a fundamental principle known as the cancellation law. This law states that if two terms are added or subtracted from both sides of an equation, the equality remains intact. In simpler terms, it allows us to 'cancel out' identical terms from both sides, thus simplifying the equation and making it easier to solve. For instance, consider the equation x + 5 = 12. According to the cancellation law, we can subtract 5 from both sides, leading us to the simplified equation x = 7. This principle is not only crucial for solving equations but also plays a vital role in various mathematical operations, including fractions and polynomials.The cancellation law can also be observed in the context of fractions. When dealing with fractions, if the numerator and denominator share a common factor, we can simplify the fraction by 'cancelling' that factor. For example, in the fraction 8/12, both the numerator and denominator can be divided by 4, resulting in the simplified fraction 2/3. This application of the cancellation law is essential for reducing fractions to their simplest form, which is often required in mathematical problems.Moreover, the cancellation law extends its significance beyond mere simplification; it also aids in understanding the properties of numbers. In number theory, the cancellation law helps in establishing relationships between different sets of numbers. For instance, if we have a set of numbers where a certain operation is performed, the cancellation law ensures that if the same operation is applied to all elements of the set, the overall relationship remains unchanged. This property is particularly useful in proofs and theorems where maintaining equality is crucial.The implications of the cancellation law are not limited to pure mathematics. In computer science, algorithms that involve mathematical computations often utilize this principle to enhance efficiency. By applying the cancellation law, programmers can write more efficient code that reduces the number of operations needed to achieve a result. This optimization is especially important in fields such as data analysis and machine learning, where large datasets are processed, and performance is key.In conclusion, the cancellation law is a powerful tool in mathematics that facilitates simplification and enhances our understanding of numerical relationships. Whether we are solving equations, simplifying fractions, or analyzing complex algorithms, the cancellation law provides a foundation upon which many mathematical concepts are built. By mastering this principle, students and professionals alike can improve their problem-solving skills and deepen their appreciation for the beauty of mathematics.

在数学领域，特别是在代数中，存在一个基本原理，称为消去法则。该法则指出，如果在方程的两边添加或减去两个相同的项，等式仍然保持不变。简单来说，它允许我们从两边“消去”相同的项，从而简化方程，使其更易于求解。例如，考虑方程 x + 5 = 12。根据消去法则，我们可以从两边减去 5，得到简化后的方程 x = 7。这个原理不仅对解方程至关重要，还在各种数学运算中发挥着重要作用，包括分数和多项式。消去法则也可以在分数的背景下观察到。当处理分数时，如果分子和分母有一个共同因子，我们可以通过“消去”该因子来简化分数。例如，在分数 8/12 中，分子和分母都可以被 4 除以，结果是简化后的分数 2/3。这个消去法则的应用对于将分数简化为最简形式至关重要，这在数学问题中通常是必要的。此外，消去法则的意义不仅限于简化；它还有助于理解数字的属性。在数论中，消去法则有助于建立不同数字集合之间的关系。例如，如果我们有一个数字集合并对其执行某种操作，消去法则确保如果对集合中的所有元素应用相同的操作，整体关系保持不变。这个属性在证明和定理中尤其有用，因为保持等式是至关重要的。消去法则的影响不仅限于纯数学。在计算机科学中，涉及数学计算的算法通常利用这一原理来提高效率。通过应用消去法则，程序员可以编写更高效的代码，减少实现结果所需的操作数量。这种优化在数据分析和机器学习等领域尤为重要，因为在这些领域中会处理大量数据集，而性能至关重要。总之，消去法则是数学中一个强大的工具，促进了简化并增强了我们对数字关系的理解。无论我们是在解方程、简化分数，还是分析复杂算法，消去法则都提供了许多数学概念构建的基础。通过掌握这一原理，学生和专业人士都可以提高他们的解决问题的能力，加深对数学之美的欣赏。