{R}R Dev Notes

Found total of 58 articles.

2.1 Floating-Point Numbers (IEEE 754)

A detailed, intuitive guide to floating-point numbers and the IEEE 754 standard. Learn how computers represent real numbers, why precision is limited, and how rounding, overflow, subnormals, and special values affect numerical algorithms in AI, ML, and scientific computing.

2025-09-08

Chapter 2 — The Computational Model

An introduction to the computational model behind numerical linear algebra. Explains why mathematical algorithms fail inside real computers, how floating-point arithmetic shapes computation, and why understanding precision, rounding, overflow, and memory layout is essential for AI, ML, and scientific computing.

2025-09-07

1.4 A Brief Tour of Real-World Failures

A clear, accessible tour of real-world numerical failures in AI, ML, optimization, and simulation—showing how mathematically correct algorithms break inside real computers, and preparing the reader for Chapter 2 on floating-point reality.

2025-09-06

1.2 Floating-Point Reality vs. Textbook Math

Floating-point numbers don’t behave like real numbers. This article explains how rounding, cancellation, and machine precision break AI systems—and why it matters.

2025-09-04

1.1 What Breaks Real AI Systems

Many AI failures come from numerical instability, not algorithms. This guide explains what actually breaks AI systems and why numerical linear algebra matters.

2025-09-03

Numerical Linear Algebra: Understanding Matrices and Vectors Through Computation

Learn how linear algebra actually works inside real computers. A practical guide to LU, QR, SVD, stability, conditioning, and the numerical foundations behind modern AI and machine learning.

2025-09-01

Conversation Flow and Dialogs｜Mastering Microsoft Teams Bots 3.3

Learn how to build intelligent conversation flows in Microsoft Teams bots using dialogs. This section explains how to guide users through multi-turn interactions, manage state, use prompts and waterfalls, and decide when to use dialogs versus Task Modules.

2025-04-10

Setting Up Your Environment｜Mastering Microsoft Teams Bots 2.1

Start your Microsoft Teams bot development journey with a solid foundation. This section walks you through the essential tools—Node.js, .NET SDK, Ngrok, Azure CLI—and explains why setting up your dev environment the right way is critical to building bots successfully.

2025-04-05

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