Adaline數學實驗室
Adaline MathLab🌿 Adaline 數學實驗室｜許老師的邏輯隨筆 數學，不應該只是考卷上的數字，而是理解世界的一種語言。 我是許老師，擁有應用數學碩士背景，目前在業界擔任研發工程師。在《Adaline 數學實驗室》，我將分享下班後的另一種身份——教學者與研究者的思考隨筆。 🎙️ Podcast 探索內容： 圖論的浪漫：為什麼世界本來就是一張大圖？聊聊數學如何解釋複雜的人際與網絡關係。 擬中心思考：從碩士研究出發，分享如何在混亂的資訊中，精準定位核心問題與切割點。 跨界視角：從數學碩士到研發工程師，那些從理論走向實踐的思考轉化。 邏輯訓練：戴上耳機，用數學視角重構你的思維路徑。 📩 聯絡與資源： 合作洽談 / 課程諮詢： adalinemathlab@gmail.com 學術研究參考： [碩士論文連結：Graph Partitioning Algorithms for the Isoperimetri... more
| Publishes | Twice monthly | Episodes | 5 | Founded | 2 months ago |
|---|---|---|---|---|---|
| Language |  ZH-TW | Number of Listeners | Category | Science |
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Latest Episodes
在本集節目中，我們將探討線性代數中最具傳奇色彩的函數——行列式。聽眾將了解到，同樣是計算一個 20×20 矩陣的行列式，選錯方法與選對方法之間竟然存在著天壤之別。
我們將帶領大家深入淺出地理解以下內容：
• 餘因子擴展（Cofactor Expansion）的陷阱：為什麼這種教科書上最先教的遞迴定義，在面對大型矩陣時會讓最先進的電腦也得算上 77 年才能得出結果？
• 效率的救星——基本列運算：學習如何利用矩陣的運算性質（如加法、倍數與列交換），將複雜矩陣簡化為上三角矩陣（Upper ... more
在本集節目中，我們將帶領聽眾從純數學的矩陣運算，跨越到現實世界的經濟體系分析。首先，我們會解析線性代數中的核心工具——基本列運算（Elementary Row Operations），這不僅是簡化矩陣的手段，更是求解線性方程組的強大武器,。
節目的重頭戲將聚焦於 1973 年諾貝爾經濟學獎得主瓦西里·里昂提夫（Wassily Leontief）的數學貢獻。我們將介紹如何利用矩陣來建立經濟模型：
• 封閉模型（Closed Model）：探討在一個自給自足的社會中，農夫、裁縫與木匠如何透過... more
在本集節目中，我們將深入探討線性代數中最迷人的核心概念：線性變換（Linear Transformations）。
線性變換不僅僅是數學函數，它們是在不同向量空間之間「保持」數學結構的神奇橋樑。從幾何學中的旋轉與投影，到微積分中的微分與積分運算，線性變換的概念無處不在。
本集討論重點包括：
• 變換的本質：為什麼說線性變換能「保持結構」？我們將從加法與純量乘法的基本定義出發。
• 探索內在屬性：零空間與值域：如何透過這兩個關鍵子空間來解析一個變換？並理解著名的「維度定理」（Dime... more
歡迎收聽本集節目。今天我們將帶領大家深入探索線性代數的基石：向量空間 (Vector Spaces)。我們將從物理學中熟悉的力、速度與加速度等幾何概念出發，逐步引導至抽象的數學定義，並揭開向量空間必須滿足的八大運算性質。
在本集中，我們將重點討論以下核心概念：
• 子空間 (Subspaces)：如何透過加法與純量乘法的「封閉性」來判定一個子集合是否仍維持向量空間的結構。
• 線性組合與線性系統：探討向量如何相互建構，以及這與解線性方程組的深層關聯。
• 線性獨立 (Linear I... more
Chart Rankings
How this podcast ranks in the Apple Podcasts, Spotify and YouTube charts.
Apple Podcasts | #245 |  Taiwan/Science |
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Listeners, social reach, demographics and more for this podcast.
| Listeners per Episode | Gender Skew | Location | |||
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| Interests | Professions | Age Range | |||
| Household Income | Social Media Reach | ||||
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