Unit 5: Important Topics to Cover 1. Natural Numbers & Induction Introduction to Natural Numbers Peano’s Axioms (Basic Properties of Natural Numbers) Mathematical Induction (Basic Principle & Steps) Strong Induction (Definition & Application) Induction with Nonzero Base Cases (Handling Different Starting Points) 2. Recurrence Relations & Generating Functions Introduction to Recurrence Relations Generating Functions (Definition & Properties) Simple Recurrence Relations with Constant Coefficients Linear Recurrence Relations Without Constant Coefficients Methods of Solving Recurrence Relations (Substitution, Characteristic Equation, Iteration) 3. Combinatorics Introduction to Combinatorics Basic Counting Techniques (Permutation, Combination) Pigeonhole Principle (Definition & Examples) Polya’s Counting Theorem (Introduction & Application in Counting Problems)
How Microsoft Azure Revolutionized IoT for Rolls-Royce Author: Amit Tiwari, Admission ID: 24150CN087 In today’s fast-paced world, Microsoft Azure stands as one of the most powerful cloud computing platforms, transforming industries across the globe. One standout example of its impact is how Azure has helped Rolls-Royce — a leader in aircraft engine manufacturing — integrate IoT (Internet of Things) to revolutionize the way their engines are monitored, maintained, and optimized. What is Microsoft Azure? Microsoft Azure is a comprehensive cloud computing platform that offers a wide range of tools and services to help businesses develop, deploy, and manage applications and devices in the cloud. Azure's flexibility, scalability, and robust security make it a preferred choice for companies of all sizes. With IoT capabilities, Azure enables seamless communication between devices, applications, and the cloud, empowering businesses to gather real-time insights and make smarte...