nondecreasing

简明释义

英[ˌnɒnˌdiːˈkriːsɪŋ]美[nɑːndɪˈkriːsɪŋ]

adj. 不减少的

英英释义

单词用法

同义词

反义词

例句

1.Please write a function to merger the two lists together to obtain a new nondecreasing order list.

请写一个函数来合并两表一起获得新秩序不减名单。

2.An approximation algorithm is presented for minimizing a nondecreasing supermodular set function, and its performance guarantee is probed.

给出了求解一类具有简单约束的上模集函数最小值问题的一种局部搜索法，并讨论了所给算法的性能保证。

3.For each test case, output one line containing the number of nondecreasing subsequences you can find from the sequence S, the answer should % 1000000007.

对于情况一： 排序前后并未影响原来的顺序，所以可以直接把大的元素插在前面所有出现过的元素后面形成新的不下降子序列。

4.For each test case, output one line containing the number of nondecreasing subsequences you can find from the sequence S, the answer should % 1000000007.

对于情况一： 排序前后并未影响原来的顺序，所以可以直接把大的元素插在前面所有出现过的元素后面形成新的不下降子序列。

5.The stock prices showed a nondecreasing trend over the last quarter.

过去一个季度，股票价格显示出非递减的趋势。

6.To ensure the algorithm works correctly, we need to check if the input array is nondecreasing.

为了确保算法正确工作，我们需要检查输入数组是否是非递减的。

7.A nondecreasing function can be useful in optimization problems where you want to maximize output.

在优化问题中，非递减函数可以用来最大化输出。

8.In a nondecreasing sequence, each term is greater than or equal to the preceding term.

在一个非递减序列中，每个项都大于或等于前面的项。

9.The function is said to be nondecreasing if for any two points x and y, where x ≤ y, the function value at x is less than or equal to that at y.

如果对于任意两个点 x 和 y，且 x ≤ y，则在 x 处的函数值小于或等于在 y 处的函数值，则该函数被称为非递减。

作文

In mathematics, the concept of a nondecreasing function is fundamental for understanding various types of sequences and functions. A function is termed nondecreasing if, for any two points x and y in its domain, whenever x is less than or equal to y, the value of the function at x is less than or equal to the value of the function at y. This means that as you move along the graph of the function from left to right, the values do not decrease; they either stay the same or increase. To illustrate this concept, consider the sequence of numbers: 1, 2, 2, 3, 4. This sequence is nondecreasing because each number is either greater than or equal to the one before it. In practical terms, this can represent many real-world scenarios, such as the growth of a plant over time, where the height of the plant does not decrease as time progresses. Understanding nondecreasing sequences is crucial in various fields such as economics, computer science, and data analysis. For example, in economics, a nondecreasing demand curve indicates that as the price of a product decreases, the quantity demanded does not drop below a certain level. Similarly, in computer science, sorting algorithms often rely on the principle of nondecreasing order to organize data efficiently. Moreover, the concept of nondecreasing can also be applied to algorithms. For instance, a search algorithm that operates on a nondecreasing array can efficiently locate elements because it can eliminate half of the search space at each step, knowing that the elements will not decrease. This efficiency is critical in handling large datasets where performance is paramount. In conclusion, the term nondecreasing represents a vital concept across various disciplines. It signifies a relationship where values do not diminish, allowing for the analysis and interpretation of trends and behaviors in mathematical functions, economic models, and computational algorithms. By grasping the notion of nondecreasing, one can better appreciate how certain systems operate and predict their future behavior. Understanding this concept helps in making informed decisions based on the patterns observed in data, whether it is in academic research, business strategies, or technological advancements.

在数学中，非递减函数的概念对于理解各种类型的序列和函数至关重要。如果一个函数被称为非递减，那么在其定义域内的任意两点x和y，若x小于或等于y，则该函数在x处的值小于或等于在y处的值。这意味着，当你从左到右沿着函数的图形移动时，值不会减少；它们要么保持不变，要么增加。为了说明这一概念，考虑数字序列：1, 2, 2, 3, 4。这个序列是非递减的，因为每个数字都大于或等于前一个数字。在实际应用中，这可以代表许多现实世界的场景，例如植物随时间的生长，其中植物的高度不会随着时间的推移而下降。理解非递减序列在经济学、计算机科学和数据分析等多个领域至关重要。例如，在经济学中，非递减需求曲线表明，随着产品价格的下降，需求量不会低于某一水平。同样，在计算机科学中，排序算法通常依赖于非递减顺序来有效地组织数据。此外，非递减的概念也可以应用于算法。例如，一个在非递减数组上运行的搜索算法可以有效地定位元素，因为它可以在每一步消除一半的搜索空间，知道元素不会减少。这种效率在处理大型数据集时至关重要，因为性能至关重要。总之，术语非递减代表了各个学科中的一个重要概念。它表示一种关系，其中值不会减少，从而允许对数学函数、经济模型和计算算法中的趋势和行为进行分析和解释。通过掌握非递减的概念，人们可以更好地理解某些系统的运作方式，并预测其未来行为。理解这一概念有助于根据观察到的数据模式做出明智的决策，无论是在学术研究、商业战略还是技术进步中。