admissible number

简明释义

容许数

英英释义

例句

1.Please enter an admissible number for the quantity of items you wish to purchase.

请输入您希望购买的物品数量的可接受的数字。

2.To apply for the grant, you must provide an admissible number of references.

申请补助金时，您必须提供可接受的数字的推荐信。

3.The program only accepts an admissible number of participants to ensure a smooth experience.

该程序仅接受一个可接受的数字的参与者，以确保顺利进行。

4.The lottery system only allows an admissible number of tickets to be purchased per person.

彩票系统只允许每个人购买可接受的数字的彩票。

5.In this mathematical model, the admissible number must meet certain criteria.

在这个数学模型中，可接受的数字必须满足特定标准。

作文

In the realm of mathematics and computer science, the term admissible number refers to a value that meets specific criteria within a given context. Understanding this concept is crucial for students and professionals alike, as it plays a significant role in various applications, including algorithm design, statistical analysis, and optimization problems. To grasp the significance of an admissible number, we must first explore its definition and implications in different fields.An admissible number can be described as a number that is allowed or accepted within a particular set of rules or conditions. For instance, in optimization problems, an admissible number might refer to a solution that satisfies all constraints imposed by the problem. This means that any candidate solution must not only be feasible but also optimal under the defined parameters. In this context, identifying admissible numbers is essential for finding the best possible outcome.Moreover, in the field of statistics, the concept of admissible number can be linked to decision theory, where certain values are deemed acceptable based on their ability to minimize risk or maximize utility. For example, when conducting hypothesis testing, researchers may determine an admissible number for a p-value that indicates statistical significance. This threshold helps in making informed decisions about the validity of a hypothesis, guiding researchers in their conclusions and further investigations.The importance of admissible numbers extends beyond theoretical applications; they are integral to practical scenarios as well. In computer algorithms, particularly those used in search and optimization, admissible numbers allow for the efficient pruning of search spaces. For example, in pathfinding algorithms like A*, an admissible number is a heuristic estimate of the cost from a given node to the goal. This estimate must not overestimate the true cost to ensure that the algorithm finds the optimal path. Thus, understanding and properly applying the notion of admissible numbers can significantly enhance the performance of algorithms and lead to more effective solutions.Additionally, the concept of admissible number has implications in real-world scenarios, such as resource allocation and scheduling. When managing limited resources, it is crucial to identify admissible numbers for each task or project to ensure that all conditions are met without exceeding available capacities. This practice helps in prioritizing tasks and making strategic decisions that optimize the use of resources.In conclusion, the term admissible number encompasses a variety of meanings depending on the context in which it is applied. Whether in mathematics, computer science, or statistics, admissible numbers serve as critical components in decision-making processes, optimization strategies, and algorithm development. By understanding the significance of admissible numbers, individuals can enhance their analytical skills and improve their ability to solve complex problems effectively. Therefore, mastering the concept of admissible number is not only beneficial for academic pursuits but also essential for practical applications in various fields.

在数学和计算机科学领域，术语admissible number指的是在特定上下文中符合特定标准的值。理解这一概念对于学生和专业人士来说至关重要，因为它在算法设计、统计分析和优化问题等各种应用中发挥着重要作用。要掌握admissible number的重要性，我们必须首先探讨它在不同领域中的定义和影响。admissible number可以被描述为在特定规则或条件下被允许或接受的数字。例如，在优化问题中，admissible number可能指的是满足所有约束条件的解决方案。这意味着任何候选解决方案不仅必须是可行的，而且还必须在定义的参数下是最优的。在这种情况下，识别admissible numbers对于找到最佳结果至关重要。此外，在统计学领域，admissible number的概念可以与决策理论联系起来，其中某些值根据其最大化效用或最小化风险的能力被视为可接受的。例如，在进行假设检验时，研究人员可能会确定一个表示统计显著性的p值的admissible number。这个阈值有助于在假设的有效性上做出明智的决定，引导研究人员得出结论并进行进一步的调查。admissible numbers的重要性不仅限于理论应用；它们在实际场景中也至关重要。在计算机算法中，特别是在搜索和优化中，admissible numbers允许有效地修剪搜索空间。例如，在像A*这样的路径寻找算法中，admissible number是从给定节点到目标的成本的启发式估计。这个估计不能高估真实成本，以确保算法找到最优路径。因此，理解和正确应用admissible numbers的概念可以显著提高算法的性能，从而导致更有效的解决方案。此外，admissible number的概念在资源分配和调度等现实场景中也有影响。在管理有限资源时，识别每个任务或项目的admissible numbers至关重要，以确保在不超过可用容量的情况下满足所有条件。这种做法有助于优先安排任务并做出战略决策，从而优化资源的使用。总之，术语admissible number根据其应用的上下文涵盖了多种含义。无论是在数学、计算机科学还是统计学中，admissible numbers都是决策过程、优化策略和算法开发中的关键组成部分。通过理解admissible numbers的重要性，个人可以增强其分析能力，提高有效解决复杂问题的能力。因此，掌握admissible number的概念不仅对学术追求有益，而且对各个领域的实际应用至关重要。