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Published in 測試期刊, 2025

這是一個測試 GitHub 手動上傳功能的簡化版論文。

Recommended citation: 賴鵬仁. (2025). "GitHub手動上傳測試：簡化版." 測試期刊. 第1卷, 第1期, 頁1-5.

GitHub網頁上傳測試：不包含手動時間

Published in 網頁上傳測試期刊, 2025

測試在GitHub網頁上傳時，沒有手動設定時間的情況。

Recommended citation: 賴鵬仁. (2025). "GitHub網頁上傳測試：不包含手動時間." 網頁上傳測試期刊. 第1卷, 第1期, 頁1-2.

手動測試論文：人工智慧在教育領域的應用研究

Published in 教育科技期刊, 2025

探討人工智慧技術在現代教育環境中的創新應用與實踐效果分析。

Recommended citation: 賴鵬仁. (2025). "手動測試論文：人工智慧在教育領域的應用研究." 教育科技期刊. 第15卷, 第3期, 頁45-60.

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數學符號展示 (4)：統計學與機率論

less than 1 minute read

本文展示統計學與機率論相關的數學符號渲染效果。

數學符號展示 (3)：線性代數與向量

less than 1 minute read

本文展示線性代數與向量相關的數學符號渲染效果。

數學符號展示 (2)：微積分與極限

less than 1 minute read

本文展示微積分相關的數學符號渲染效果。

數學符號展示 (1)：基礎數學運算與代數

less than 1 minute read

本文展示網站中數學符號的渲染效果，包含基礎數學運算與代數符號。

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從turtle海龜動畫學習Python-高中彈性課程

透過 turtle 海龜動畫的方式，讓高中生輕鬆學習 Python 程式設計的基礎概念。

從turtle海龜動畫學習 Python - 高中彈性課程系列 2 安裝 Python, 線上執行 Python

學習如何安裝 Python 開發環境，以及使用線上平台執行 Python 程式。

從turtle海龜動畫學習 Python - 高中彈性課程系列 3 烏龜繪圖所需之Python基礎

介紹烏龜繪圖所需的 Python 基礎知識，包括變數、資料型態和基本語法。

從turtle海龜動畫學習 Python - 高中彈性課程系列 4 烏龜開始畫圖

開始使用烏龜繪圖，學習基本的移動指令和繪圖功能。

從turtle海龜動畫學習 Python - 高中彈性課程系列 5 用函數封裝重複性指令-呼叫函數令烏龜畫正 n 邊形

學習使用函數封裝重複性指令，並透過函數讓烏龜繪製正n邊形。

從turtle海龜動畫學習 Python - 高中彈性課程系列 6 畫多重旋轉圓,螺旋正方形

學習繪製多重旋轉圓和螺旋正方形，探索更複雜的圖形模式。

從 Logo 海龜繪圖學習 Python - 高中彈性課程系列 7 遞歸 recursive, 碎形(分形 fractal), 藝術畫

介紹遞歸概念，學習繪製碎形圖案和藝術作品。

從 Logo 海龜繪圖學習 Python - 高中彈性課程系列 8 碎形 (分形 fractal)

深入探討碎形（分形）的進階概念和實作技巧。

Escher 愛雪磁磚設計法則 - 高雄燕巢深水國小科展指導

用 Python+Numpy+scipy 執行 Matlab 的矩陣計算 1 Python科學計算第三方庫, 原生指令, 內建模組, 外部模組

用 Python+Numpy+scipy 執行 Matlab 的矩陣計算 2 產生 numpy 的數組, 矩陣點乘等

用 Python+Numpy+scipy 執行 Matlab 的矩陣計算 3 向量與矩陣運算

用 Python+Numpy+scipy 執行 Matlab 的矩陣計算 4 函數向量化 function vectorized

用 Python+Numpy+scipy 執行 Matlab 的矩陣計算 4 函數向量化 function vectorized 

用 Python+Numpy+scipy 執行 Matlab 的矩陣計算 5 矩陣特徵值等不變量計算

  用 Python+Numpy+scipy 執行 Matlab 的矩陣計算 5 矩陣特徵值等不變量計算 

用 Python+Numpy+scipy 執行 Matlab 的矩陣計算 5.1 矩陣分解的指令

    用 Python+Numpy+scipy 執行 Matlab 的矩陣計算 5.1 矩陣分解的指令

用 Python+Numpy+scipy 執行 Matlab 的矩陣計算 6 解線性方程組直接法: Gauss 消去, LU 分解等

    用 Python+Numpy+scipy 執行 Matlab 的矩陣計算 6 解線性方程組 直接法: Gauss 消去, LU 分解 等 

用 Python+Numpy+scipy 執行 Matlab 的矩陣計算 7 解線性方程組迭代法: Jacobi iterated,Gauss-Seidel 等

      用 Python+Numpy+scipy 執行 Matlab 的矩陣計算 7 解線性方程組 迭代法: Jacobi iterated,Gauss-Seidel 等 

以 Python+NumPy+SciPy+SymPy 實作大學基礎數學

運用Python及其數學運算庫實作大學基礎數學，包含線性代數矩陣計算、微積分與數論等重要主題。

用 Python+Numpy+scipy 執行 Matlab 的矩陣計算 1 Python科學計算第三方庫, 原生指令, 內建模組, 外部模組

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2009 Using ant colony optimization to minimize the fuzzy makespan and total weighted fuzzy completion time in flow shop scheduling problems

Published in International Journal of Uncertainty, Fuzziness and Knowledge-based Systems, 2009

This paper applies ant colony optimization algorithms to solve fuzzy flow shop scheduling problems with multiple objectives.

Recommended citation: Peng-Jen Lai and Hsien-Chung Wu. (2009). "Using ant colony optimization to minimize the fuzzy makespan and total weighted fuzzy completion time in flow shop scheduling problems." International Journal of Uncertainty, Fuzziness and Knowledge-based Systems. Vol. 17, No. 4, Pages 559-584.
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2009 How to make fractal tilings and fractal reptiles

Published in Fractals, 2009

This paper presents methods for constructing fractal tilings and fractal reptiles, contributing to the field of fractal geometry.

Recommended citation: Peng-Jen Lai. (2009). "How to make fractal tilings and fractal reptiles." Fractals. Volume 17, Issue 4, Pages 493-504.
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2009 Concise methods to generate fractal tilings

Published in International Journal of Nonlinear Sciences and Numerical Simulation, 2009

This paper presents concise and efficient methods for generating fractal tilings with practical applications.

Recommended citation: Peng-Jen Lai. (2009). "Concise methods to generate fractal tilings." International Journal of Nonlinear Sciences and Numerical Simulation. No. 10(5), Pages 585-594.
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2010 Single-machine scheduling with a nonlinear deterioration function

Published in Information Processing Letters, 2010

This paper studies single-machine scheduling problems with nonlinear deterioration functions affecting job processing times.

Recommended citation: Peng-Jen Lai and Wen-Chiung Lee. (2010). "Single-machine scheduling with a nonlinear deterioration function." Information Processing Letters. Volume 110, Issue 11, Pages 455-459.
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2012 Single-machine scheduling with a logarithm deterioration function

Published in Optimization Letters, 2012

This paper investigates single-machine scheduling problems where job processing times increase logarithmically over time due to deterioration effects.

Recommended citation: Peng-Jen Lai, Chin-Chia Wu and Wen-Chiung Lee. (2012). "Single-machine scheduling with a logarithm deterioration function." Optimization Letters. Volume 6, Issue 8, Pages 1719-1730.
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2013 Single-machine scheduling with learning and forgetting effects

Published in Applied Mathematical Modelling, 2013

This paper studies single-machine scheduling problems that incorporate both learning and forgetting effects in processing times.

Recommended citation: Peng-Jen Lai and Wen-Chiung Lee. (2013). "Single-machine scheduling with learning and forgetting effects." Applied Mathematical Modelling. Volume 37, Issue 6, Pages 4509–4516.
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2014 Parallel-machine scheduling to minimize makespan with fuzzy processing times and learning effects

Published in Information Sciences, 2014

This paper addresses parallel machine scheduling with learning effects and fuzzy processing times to minimize the fuzzy makespan based on the possibility measure.

Recommended citation: Wei-Chang Yeh, Peng-Jen Lai, Wen-Chiung Lee, Mei-Chi Chuang. (2014). "Parallel-machine scheduling to minimize makespan with fuzzy processing times and learning effects." Information Sciences. Volume 269, 10 June 2014, Pages 142-158.
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2015 A note on single-machine scheduling with sum-of-processing-time-based learning and forgetting effects

Published in Applied Mathematical Modelling, 2015

This paper investigates single-machine scheduling problems with both learning and forgetting effects based on sum-of-processing-time model.

Recommended citation: Chia-Huang Wu, Peng-Jen Lai and Wen-Chiung Lee. (2015). "A note on single-machine scheduling with sum-of-processing-time-based learning and forgetting effects." Applied Mathematical Modelling. Volume 39, Issue 2, Pages 415-424.
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2015 Using heuristic algorithms to solve the scheduling problems with job-dependent and machine-dependent learning effects

Published in Journal of Intelligent Manufacturing, 2015

This paper addresses scheduling problems incorporating both job-dependent and machine-dependent learning effects using heuristic algorithms.

Recommended citation: Peng-Jen Lai and Hsien-Chung Wu. (2015). "Using heuristic algorithms to solve the scheduling problems with job-dependent and machine-dependent learning effects." Journal of Intelligent Manufacturing. Volume 26, Issue 4, pp 691-701.
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服務與演講記錄

20081031康文姿問所接屏東科大某教授計畫兼任助理之工作中, 數個球面相交之計算法, 教以Maple之計算, 並提供數學解法公式等. 花了兩個下午.

賴鵬仁

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