{R}R 開発ノート

合計 23 件の記事が見つかりました。

5.3 LU in NumPy and LAPACK

A practical, in-depth guide to how LU decomposition is implemented in NumPy and LAPACK. Learn about partial pivoting, blocked algorithms, BLAS optimization, error handling, and how modern numerical libraries achieve both speed and stability.
2025-09-25

Chapter 5 — LU Decomposition

An in-depth, accessible introduction to LU decomposition—why it matters, how it improves on Gaussian elimination, where pivoting fits in, and what modern numerical libraries like NumPy and LAPACK do under the hood. Includes a guide to stability, practical applications, and a smooth transition into LU with and without pivoting.
2025-09-22

4.3 Pivoting Strategies

A practical and intuitive guide to pivoting strategies in numerical linear algebra, explaining partial, complete, and scaled pivoting and why pivoting is essential for stable Gaussian elimination and reliable LU decomposition.
2025-09-20

3.2 Measuring Errors

A clear and intuitive guide to absolute error, relative error, backward error, and how numerical errors propagate in real systems. Essential for understanding stability, trustworthiness, and reliability in scientific computing, AI, and machine learning.
2025-09-14

2.4 Vector and Matrix Storage in Memory

A clear, practical guide to how vectors and matrices are stored in computer memory. Learn row-major vs column-major layout, strides, contiguity, tiling, cache behavior, and why memory layout affects both speed and numerical stability in real systems.
2025-09-11

2.3 Overflow, Underflow, Loss of Significance

A clear and practical guide to overflow, underflow, and loss of significance in floating-point arithmetic. Learn how numerical computations break, why these failures occur, and how they impact AI, optimization, and scientific computing.
2025-09-10

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

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

1.1 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

Use Case: Project Management Assistant Bot｜Mastering Microsoft Teams Bots 6.2

Explore how to build a Project Management Assistant Bot for Microsoft Teams that delivers task summaries, reminders, and updates directly in the chat. Learn how this bot improves team productivity by integrating with tools like Jira or Trello and surfacing key information within the Teams workflow.
2025-04-19

Use Case: Helpdesk Assistant Bot｜Mastering Microsoft Teams Bots 6.1

Explore how to build a Helpdesk Assistant Bot in Microsoft Teams. Learn how bots can reduce IT load by handling FAQs, logging support tickets, and notifying users — all within Teams. This section explains features, user experience, and implementation strategies.
2025-04-18

Teams App Manifest and Packaging｜Mastering Microsoft Teams Bots 5.2

Transform your bot into a full Teams app. This section walks through how to create a Teams app manifest, add branding, define scopes, and package your bot into a distributable .zip file for sideloading, internal use, or submission to the Microsoft App Store.
2025-04-16

Task Modules｜Mastering Microsoft Teams Bots 4.1

Learn how to use Task Modules in Microsoft Teams to embed rich, interactive modal experiences inside your bot. This section explains how to launch, return data from, and design secure webviews that turn chat into structured user interaction.
2025-04-11

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

Message Handling｜Mastering Microsoft Teams Bots 3.1

Learn how to build responsive and intelligent Microsoft Teams bots by handling messages effectively. This section covers activity types, keyword detection, mentions, markdown formatting, conversation context, and tips for scaling from simple replies to powerful, workflow-driven bots.
2025-04-08

Hello World Bot｜Mastering Microsoft Teams Bots 2.2

Build your first Microsoft Teams bot with a simple Hello World response. This hands-on section walks you through using the Bot Framework SDK, setting up a local project with Node.js or .NET, using Ngrok to expose your endpoint, and testing your bot directly in Teams.
2025-04-06

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

Overview of Microsoft Teams Bot Capabilities｜Mastering Microsoft Teams Bots 1.3

Explore the full range of capabilities bots can offer in Microsoft Teams. This section breaks down interactive contexts, features like Adaptive Cards, proactive messaging, user authentication, Graph API integration, and what limitations still exist. Get a developer’s guide to what’s possible.
2025-04-04

Overview of Microsoft Teams Architecture｜Mastering Microsoft Teams Bots 1.2

Get a developer-friendly introduction to how Microsoft Teams is built. This section explains Teams architecture—channels, tabs, bots, messaging extensions, and Graph API—and shows how each component fits into the broader platform. A must-read before building your first bot.
2025-04-03

Why Build Bots for Microsoft Teams?｜Mastering Microsoft Teams Bots 1.1

Discover why Microsoft Teams bots are transforming the workplace. This section explores the real-world impact of building bots in Teams, from automating tasks and integrating external services to enabling context-aware digital assistants. Learn how bots can save time, boost productivity, and bring automation into the flow of daily work.
2025-04-02

Mastering Microsoft Teams Bots: A Complete Developer’s Guide

The definitive guide to building bots for Microsoft Teams—from fundamentals to deployment. Learn how to build intelligent and interactive bots using the Microsoft Bot Framework, integrate Adaptive Cards and Task Modules, send proactive messages, authenticate users with Teams SSO, and deploy securely on Azure. Packed with practical examples and real-world use cases, this book will help you automate workflows, enhance collaboration, and deliver smart experiences inside Teams.
2025-04-01

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