{R}R Dev Notes

Found total of 5 articles.

2.2 Machine Epsilon, Rounding, ULPs

A comprehensive, intuitive guide to machine epsilon, rounding behavior, and ULPs in floating-point arithmetic. Learn how precision limits shape numerical accuracy, how rounding errors arise, and why these concepts matter for AI, ML, and scientific computing.

2025-09-09

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

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

Search Logs

Hello World bot 1238 IT assistant bot 1210 Deploy Teams bot to Azure 1207 Microsoft Bot Framework 1105 Teams bot development 1085 Teams production bot 1075 bot for sprint updates 1061 Zendesk Teams integration 1048 Teams app zip 1044 Microsoft Teams Task Modules 1026 Teams chatbot 1024 Bot Framework Adaptive Card 1022 Teams bot tutorial 1013 Bot Framework example 1008 Task Modules 1007 Teams bot packaging 1005 Bot Framework proactive messaging 995 C 993 Graph API token 991 Bot Framework CLI 978 Azure CLI webapp deploy 976 Bot Framework prompts 971 Adaptive Card Action.Submit 965 Azure App Service bot 952 Microsoft Graph 935 Azure Bot Services 933 Adaptive Cards 906 ServiceNow bot 906 Azure bot registration 904 identity in Teams 871

Development & Technical Consulting

Working on a new product or exploring a technical idea? We help teams with system design, architecture reviews, requirements definition, proof-of-concept development, and full implementation. Whether you need a quick technical assessment or end-to-end support, feel free to reach out.