数据集目录，其中包含[-1，+1]上积分的正交规则，使用嵌套的克伦肖-柯蒂斯规则.rar资源-CSDN文库

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183 浏览量 2022-11-13 22:27:07 上传评论收藏 91KB RAR 举报

标题中的“数据集目录，其中包含 [-1，+1] 上积分的正交规则，使用嵌套的克伦肖-柯蒂斯规则”指的是一个专门用于数值积分的数学工具集合，这个数据集提供了在区间 [-1, +1] 上进行积分的正交规则。正交规则是数值分析领域中的一种方法，用于近似计算复杂函数的积分。它们基于特定的节点和权重，可以高效且精确地估算积分值。嵌套的克伦肖-柯蒂斯规则（Clenshaw-Curtis Quadrature）是一种特殊类型的正交规则，源于傅里叶级数的离散表示。这种方法特别适合于评估周期性或近似周期性的函数。克伦肖-柯蒂斯规则通过使用Chebyshev多项式的根作为节点，并利用这些多项式的性质来构造权重，从而实现高精度的积分计算。嵌套特性意味着较小的规则集可以被包含在较大的规则集中，这在递归计算和适应性积分策略中非常有用。描述中的“数据集，经典数据集”表明这个压缩包内的数据集是数值计算和科学计算领域中的一个标准资源，可能被广泛用于教学、研究或软件测试。经典数据集往往具有一定的代表性和通用性，可以用来验证新的数值算法或比较不同方法的性能。标签“数据集训练数据集”暗示了这个资源可能不仅仅是为了理论研究，还可能被用作训练机器学习模型的一部分。在机器学习中，数据集是模型训练的基础，通过拟合模型到这些数据，算法可以学习到如何处理类似问题。在这个特定场景下，如果函数的积分可以被视为一个目标变量，那么可以设计模型来预测积分值，这个数据集就能作为训练和评估模型的输入和输出。压缩包子文件的文件名“quadrature_rules_ccn”很可能包含了克伦肖-柯蒂斯规则的具体实现或实例，可能是以某种编程语言（如Python、Matlab等）编写的代码，或者是以表格形式存储的节点和权重数据。这样的文件可以帮助用户直接在他们的计算环境中应用这些规则，进行数值积分。综合以上信息，我们可以了解到这是一个关于数值积分的专题数据集，特别是涉及克伦肖-柯蒂斯规则的嵌套正交规则。它不仅可用于理论研究，也适用于实际的计算任务，例如训练机器学习模型预测积分值。对于学习数值方法、科学计算或者相关领域的开发者和研究人员来说，这是一个非常有价值的资源。

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数据集目录，其中包含 [-1，+1] 上积分的正交规则，使用嵌套的克伦肖-柯蒂斯规则.rar （96个子文件）

quadrature_rules_ccn

ccn_d2_level10_b.txt 53B

ccn_d1_order04_x.txt 108B

ccn_d2_level08_r.txt 106B

ccn_d1_order08_r.txt 54B

ccn_d2_level09_w.txt 5KB

ccn_d1_order03_x.txt 81B

ccn_d2_level06_w.txt 2KB

ccn_d2_level07.png 16KB

ccn_d2_level10.png 19KB

ccn_d2_level10_a.txt 53B

ccn_d1_order10_w.txt 270B

ccn_d2_level04_w.txt 1KB

ccn_d2_level06_a.txt 53B

ccn_d1_order05_x.txt 135B

ccn_d1_order02_x.txt 54B

ccn_d1_order01_r.txt 54B

ccn_d2_level07_a.txt 53B

ccn_d2_level05.png 15KB

ccn_d1_order10_x.txt 270B

ccn_d2_level03_x.txt 1KB

ccn_d2_level08.png 17KB

ccn_d2_level01_x.txt 265B

ccn_d2_level05_w.txt 2KB

ccn_d2_level09_a.txt 53B

ccn_d1_order03_w.txt 81B

ccn_d1_order07_r.txt 54B

ccn_d1_order03_r.txt 54B

ccn_d1_order02_r.txt 54B

ccn_d2_level10_r.txt 106B

ccn_d1_order05_r.txt 54B

ccn_d2_level01.png 5KB

ccn_d2_level06_b.txt 53B

ccn_d2_level03_r.txt 106B

ccn_d2_level07_b.txt 53B

ccn_d1_order02_w.txt 54B

ccn_d2_level04_x.txt 2KB

ccn_d1_order09_w.txt 243B

ccn_d2_level02_r.txt 106B

ccn_d1_order06_r.txt 54B

ccn_d2_level09_x.txt 9KB

ccn_d2_level08_w.txt 4KB

ccn_d2_level00_w.txt 27B

ccn_d2_level02_w.txt 351B

ccn_d1_order10_r.txt 54B

ccn_d2_level08_b.txt 53B

ccn_d2_level06_x.txt 4KB

ccn_d1_order06_w.txt 162B

ccn_d2_level02_a.txt 53B

ccn_d2_level00_x.txt 53B

ccn_d2_level06_r.txt 106B

ccn_d2_level08_a.txt 53B

ccn_d2_level02_x.txt 689B

ccn_d1_order07_w.txt 189B

ccn_d2_level04_r.txt 106B

ccn_d1_order04_w.txt 108B

ccn_d2_level01_a.txt 53B

ccn_d2_level03_b.txt 53B

ccn_d1_order07_x.txt 189B

ccn_d1_order04_r.txt 54B

ccn_d2_level00_a.txt 53B

ccn_d1_order09_r.txt 54B

ccn_d2_level07_x.txt 6KB

ccn_d2_level05_x.txt 3KB

ccn_d2_level03.png 14KB

ccn_d2_level09_b.txt 53B

ccn_d2_level03_a.txt 53B

ccn_d2_level02.png 13KB

ccn_d2_level10_x.txt 11KB

ccn_d2_level01_r.txt 106B

ccn_d2_level00_b.txt 53B

ccn_d1_order08_w.txt 216B

ccn_d2_level08_x.txt 8KB

ccn_d2_level10_w.txt 6KB

ccn_d2_level07_w.txt 3KB

ccn_d1_order06_x.txt 162B

ccn_d2_level05_b.txt 53B

ccn_d1_order08_x.txt 216B

ccn_d2_level05_r.txt 106B

ccn_d2_level00.png 5KB

ccn_d2_level01_b.txt 53B

ccn_d2_level05_a.txt 53B

ccn_d2_level02_b.txt 53B

ccn_d2_level04_a.txt 53B

ccn_d2_level03_w.txt 675B

ccn_d2_level09.png 18KB

ccn_d1_order01_x.txt 27B

ccn_d2_level04_b.txt 53B

ccn_d2_level01_w.txt 135B

ccn_d2_level09_r.txt 106B

ccn_d2_level07_r.txt 106B

ccn_d2_level04.png 14KB

ccn_d2_level06.png 15KB

ccn_d1_order01_w.txt 27B

ccn_d1_order05_w.txt 135B

ccn_d2_level00_r.txt 106B

ccn_d1_order09_x.txt 243B

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