Structural Induction: Concept, Important Numericals | Lecture 34 | Discrete Structures | CSIT, TU скачать в хорошем качестве

Structural Induction: Concept, Important Numericals | Lecture 34 | Discrete Structures | CSIT, TU

Welcome to The Digital Nerds, your premier source for comprehensive Computer Science courses, meticulously curated from prestigious Nepalese universities. I'm Anjesh Kafle, a computer engineer and seasoned educator dedicated to delivering a tailored educational experience that meets your academic aspirations. While our focus is on bringing Nepalese universities' expertise to the forefront, our content's universal relevance ensures its value extends globally. Here at The Digital Nerds, we're not just about teaching – we're about inspiring curiosity, fostering a learning environment, and preparing you for a world that's increasingly digital. Let's embark on this exciting journey of learning together! ------ In this video, we introduce the concept of structural induction as a general proof technique to prove facts about any recursive structure. We explain the core idea, then provide the formal steps to produce a proof using structural induction. We then dive into four specific problems from Sets, Strings and Alphabet, Well Formed Fromulas and Full Binary Trees each. This video belongs to the playlist: Discrete Structures Full Course for Tribhuwan University, under the BSc CSIT programme. ------ Chapters: 0:00 Scope of the Video 0:22 Structural Induction: Core Idea 1:45 Steps in Structural Induction 3:43 Problem 1 (Proof of Subset using Strong Induction) 10:12 Problem 2 (Equal Paranthesis in Well Formed Formulas) 15:50 Problem 3 (Length of concatenated Strings) 21:05 Problem 4 (Full Binary Tree Inequality) ------ Make sure to like, share and subscribe! ------ Credits: Text-Book: Kenneth H. Rosen | Discrete Mathematics and its Applications Kolman | Discrete Mathematical Structures ------ References: Previous Video:    • More Recursive Structures: Well Formed For...   Next Video:    • Recursive Algorithms: Factorial, GCD, Modu...   My Freelancing Profile: https://www.fiverr.com/googlesheetspro Our Facebook Page:   / 100095563598803   ------ All content is for educational purposes only. ------ Keywords: discrete structures, discrete mathematics, csit, course series, computer science, induction and recursion, induction, recursion, recursive defintions, recursive functions, recursive sets, recursive sequences, recursive structures, well formed formulae, well formed formulas, recursively defined trees, rooted trees, full binary trees, extended binary trees, structural induction, structural induction problems