7 Bites of Combinatorics

所在平台: Udemy

课程主页: https://www.udemy.com/course/combinatorics-in-python/

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课程简介

**课程名称:** 组合数学的七种方法 (7 Bites of Combinatorics) **课程概述:** 组合数学是一门迷人的数学分支,它教会我们如何计数、排列和选择元素。这门课程将带你走进组合数学的世界,探索它在数据科学中的广泛应用。无论你是想计算可能的用户名数量,分析数据集中的特征组合,还是设计机器学习模型,组合数学都能帮助你理解事物发生的各种方式。 本课程将从基础开始,适合所有希望入门组合数学的学生,包括有志于成为数据分析师或数据科学家的初学者,以及希望加深对组合数学理解的经验丰富的机器学习开发者。 课程的亮点在于,所有组合数学的技术都将在 Python 编程环境中进行实践,让你能够立即在 Python 中执行计数任务。 **学完本课程,你将能够:** * 理解排列和计数安排。 * 掌握组合计数的概念。 * 区分有放回和无放回的情况。 * 理解数字排列以形成不同数字。 * 排列和选择多重集中的元素。 * 理解圆形排列(人们或元素)。 * 计算特定数量宝石制成的手链和项链的数量。 * 借助文氏图运用容斥原理。 * 基于集合论探索组合数学。 * 使用 Python 实现组合逻辑。 让我们一起潜入排列和组合的奇妙世界吧!

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课程详情

Combinatorics is a branch of mathematics that opens the door to a fascinating world of counting, arranging, and selecting elements-and it silently powers much of what happens in data science. Whether we are calculating the number of possible user IDs, analyzing feature combinations in a dataset, or designing a machine learning model, combinatorics helps us understand how many ways things can happen.At its core, combinatorial reasoning sparked the birth of ‘probability' in the 17th century.This beginner's course introduces combinatorics from the basics. It is suitable for both aspiring data analysts or data scientists, as well as experienced machine learning developers who want to deepen their understanding of combinatorics. Each combinatorial technique is executed in Python programming environment also, so that you can perform counting tasks in Python immediately.By end of this course, you will be able tounderstand counting arrangements and permutationsgrasp the concept of counting combinationsdistinguish between with-replacement cases and without-replacement casesunderstand counting arrangements of digits to form distinct numbersarrange and select elements from a multisetunderstand arrangement of elements or people in circular formcount the possible number of bracelets and necklaces made from certain number of gemstonesapply inclusion-exclusion principle with the help of Venn-diagramexplore combinatorics based on set theoryimplement combinatorial logic using PythonLet's dive into amazing world of permutations, combinations. See you inside the course!

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