Department of Mathematics

Projects

Projects per year 2017 2017 2018 2019 2020 2021 2022 2024

• 105 Finished

Projects per year

Search results

• Finished

  不對稱資料的切換式迴歸估計

  Chang, S.

  2020/08/01 → 2022/07/31

  Project: Government Ministry › Ministry of Science and Technology

• 數學素養導向之國中動態幾何推理活動設計與實作(1/2)

  Tso, T.

  2020/08/01 → 2021/07/31

  Project: Government Ministry › Ministry of Science and Technology

• 黎卡提方程延展解的性質及應用

  Lin, H.

  2020/08/01 → 2021/07/31

  Project: Government Ministry › Ministry of Science and Technology

  • differential equations 100%
  • Differential Equation 100%
  • solutions 50%
  • algorithms 33%
  • Numerical Algorithm 33%

• 同步循環群試模型之研究

  Guo, J.

  2020/08/01 → 2021/10/31

  Project: Government Ministry › Ministry of Science and Technology

• 經兩階段機率依賴採樣的存活數據之統計推論

  Lu, T.

  2019/08/01 → 2022/07/31

  Project: Government Ministry › Ministry of Science and Technology

• 三維手性介質特徵值與特徵向量之結構化數值計算與探討

  Huang, T.-M. (PI)

  2019/08/01 → 2021/07/31

  Project: Government Ministry › Ministry of Science and Technology

  • Generalized Eigenvalue Problem 100%
  • eigenvalues 100%
  • Eigenvalue 75%
  • Eigenvector 50%
  • Grid Point 25%

• 諾丁漢群上的高

  Li, H.

  2019/08/01 → 2020/07/31

  Project: Government Ministry › Ministry of Science and Technology

  • Local Field 100%
  • Galois Group 100%
  • Functor 100%
  • height 100%
  • investigations 50%

• 利用引導式探究教學與網路學習平台提升學生高層次思考能力之研究：以線性代數為例

  Hu, C.

  2019/08/01 → 2020/07/31

  Project: Government Ministry › Ministry of Education

• 神經元突觸交互作用之研究

  Chen, S.

  2019/08/01 → 2021/07/31

  Project: Government Ministry › Ministry of Science and Technology

  • neurons 100%
  • Time Delay 100%
  • time delay 66%
  • dynamics 50%
  • membranes 50%

• 求解具有高秩常數項的大型代數黎卡迪方程式之數值方法

  Fan, H.

  2019/08/01 → 2020/10/31

  Project: Government Ministry › Ministry of Science and Technology

  • Riccati Equation 100%
  • Matrix (Mathematics) 100%
  • Numerical Solution 100%
  • Constant Term 100%
  • Residuals 100%

• 黎卡提微分方程之混沌動態及矩陣指數上的應用

  Shieh, S.

  2019/08/01 → 2020/07/31

  Project: Government Ministry › Ministry of Science and Technology

  • matrices 100%
  • differential equations 100%
  • Differential Equation 100%
  • calculation methods 50%
  • mapping 50%

• 帶參數海儂映射族群正則高度函數變異之研究

  Hsia, L.

  2019/08/01 → 2021/07/31

  Project: Government Ministry › Ministry of Science and Technology

  • Polynomial 100%
  • Function Field 100%
  • Local Field 100%
  • Galois Group 100%
  • range 100%

• 構造互補函數與其在最佳化和數據科學上的應用

  Chen, J.

  2019/08/01 → 2021/07/31

  Project: Government Ministry › Ministry of Science and Technology

  • neural networks 100%
  • Neural Network 100%
  • operations research 50%
  • learning 50%
  • mathematics 50%

• Euclidean Jordan 代數上的 Schattern q-範數和 Minkowski 行列值不等式

  Chang, Y.

  2019/08/01 → 2020/07/31

  Project: Government Ministry › Ministry of Science and Technology

  • algebra 100%
  • euclidean space 100%
  • jordan 100%
  • Jordan Algebra 100%
  • Counterexample 100%

• 光滑度量測度空間上的拉普拉斯算子

  Chen, J.

  2019/08/01 → 2020/07/31

  Project: Government Ministry › Ministry of Science and Technology

  • Weak Solution 100%
  • CR Manifold 100%
  • solutions 100%
  • Integral 50%
  • Nonexistence 50%

• 移動規劃之複雜度問題

  Guo, J.

  2019/08/01 → 2020/10/31

  Project: Government Ministry › Ministry of Science and Technology

  • testing 100%
  • False Positive 100%
  • False Negative 100%
  • Diagonal 100%
  • covid-19 40%

• 切換式的韋伯迴歸估計之研究

  Chang, S.

  2019/08/01 → 2021/07/31

  Project: Government Ministry › Ministry of Science and Technology

  • algorithms 100%
  • Regression Model 100%
  • Initial Value 100%
  • mixtures 75%
  • values 75%

• 次序試驗的設計與分析

  Tsai, P.

  2019/08/01 → 2021/07/31

  Project: Government Ministry › Ministry of Science and Technology

  • design 100%
  • Statistical Model 100%
  • Nearest Neighbor 100%
  • Design Problem 100%
  • reviews 33%

• 以分組探索為主的微積分主題教學

  Lin, Y. R.

  2019/08/01 → 2020/07/31

  Project: Government Ministry › Ministry of Education

• 具平均曲率的測度型曲面：具更高階可求積性與頻率的均衡整泛簇，第一變分是局部有界的泛簇上的多值函數

  Menne, U.

  2019/08/01 → 2023/01/31

  Project: Government Ministry › Ministry of Science and Technology

• 電腦圖學裡的幾何流

  Lin, C.

  2019/08/01 → 2022/07/31

  Project: Government Ministry › Ministry of Science and Technology

• 多胞體上正交多項式的緊框架

  Lin, Y.-C. R. (PI)

  2019/08/01 → 2020/07/31

  Project: Government Ministry › Ministry of Science and Technology

• 基於共形的最優網格參數化

  Yueh, M.

  2018/10/01 → 2021/07/31

  Project: Government Ministry › Ministry of Science and Technology

  • Processing Task 100%
  • Surface Registration 100%
  • Parameterization Surface 100%
  • Computer Graphic 100%
  • Image Processing 100%

• 求解離散時間代數黎卡迪方程式投影法的繼承性質

  Fan, H.

  2018/08/01 → 2019/07/31

  Project: Government Ministry › Ministry of Science and Technology

  • Solvability 100%
  • Riccati Equation 100%
  • riccati equation 100%
  • Discrete Time 50%
  • Detectability 50%

• 圖形中傳遞數與填色數之性質研究

  Guo, J.

  2018/08/01 → 2019/07/31

  Project: Government Ministry › Ministry of Science and Technology

  • Edge 100%
  • graphs 100%
  • hamiltonians 100%
  • Hamiltonian Path 50%
  • Complete Graph 50%

• 科技融入函數建模活動脈絡下中學數學教師教學推理能力之探究

  Wang, T.-Y. (PI)

  2018/08/01 → 2021/10/30

  Project: Government Ministry › Ministry of Science and Technology

  • teaching 100%
  • Pre-Service Teacher 100%
  • mathematics 33%
  • Teaching Mathematics 28%
  • modeling 16%

• 彈性網絡的幾何流

  Lin, C.-C. (PI)

  2018/08/01 → 2022/07/31

  Project: Government Ministry › Ministry of Science and Technology

• 科技融入統計建模活動脈絡下探討中學數學教師的教學推理能力

  Yang, K.-L. (PI)

  2018/08/01 → 2021/10/31

  Project: Government Ministry › Ministry of Science and Technology

• 神經元在雜訊與週期影響下的動態行為

  Chen, S.

  2018/08/01 → 2019/10/31

  Project: Government Ministry › Ministry of Science and Technology

  • Characteristic Equation 100%
  • Manifold 100%
  • Periodic Solution 100%
  • Differential-Difference Equations 100%
  • Hopf Bifurcation 100%

• 應用拉普拉斯分佈於改變點迴歸模型估計之研究

  Chang, S.

  2018/08/01 → 2019/09/30

  Project: Government Ministry › Ministry of Science and Technology

  • Heavy-Tailed Distribution 100%
  • Regression Model 100%
  • Outlier 100%
  • Measurement Error 100%
  • Maximization 100%

• 歐氏空間中等角線族的研究

  Lin, Y. R.

  2018/08/01 → 2019/07/31

  Project: Government Ministry › Ministry of Science and Technology

  • construction 100%
  • Dimensional Euclidean Space 100%
  • Random Number Generator 100%
  • Upper Bound 100%
  • random number generators 50%

• 加權近舒爾引理

  Chen, J.

  2018/08/01 → 2019/07/31

  Project: Government Ministry › Ministry of Science and Technology

  • Ricci Tensor 100%
  • Riemannian Manifolds 100%
  • ricci tensor 100%

• 多維度結果依賴設計之長期追蹤資料在不同的相關矩陣中的統計分析

  Lu, T.

  2018/08/01 → 2019/07/31

  Project: Government Ministry › Ministry of Science and Technology

  • design 100%
  • Correlation Structure 100%
  • data 66%
  • correlations 66%
  • sampling 66%

• 座落在平面凸區域上的最小網絡之組態

  Lin, C.

  2018/08/01 → 2019/10/31

  Project: Government Ministry › Ministry of Science and Technology

  • boundary conditions 100%
  • Boundary Condition 100%
  • junctions 75%
  • Gradient Flow 75%
  • curves 50%

• 奇異點集對具臨界非限性指數橢圓偏微分方程及拋物型偏微分方程其解基本性質的影響之探討

  Chern, J.-L. (PI)

  2018/08/01 → 2022/07/31

  Project: Government Ministry › Ministry of Science and Technology

• 環面曲率方程的可解性與Lame方程的幾何性質之研究

  Kuo, T.-J. (PI)

  2018/08/01 → 2022/07/31

  Project: Government Ministry › Ministry of Science and Technology

• 組合統計量之研究

  Eu, S.-P. (PI)

  2018/08/01 → 2021/10/31

  Project: Government Ministry › Ministry of Science and Technology

• 二階錐上自協調函數的刻劃

  Chang, Y.-L. (PI)

  2018/08/01 → 2019/10/31

  Project: Government Ministry › Ministry of Science and Technology

• 非阿基米德動態系統與枝群

  Li, H.

  2017/08/01 → 2018/07/31

  Project: Government Ministry › Ministry of Science and Technology

  • Galois Group 100%
  • roots 100%
  • Power Series 66%
  • power series 66%
  • Automorphism Group 33%

• 不同時間尺度的神經元之動態行為差異的研究

  Chen, S.

  2017/08/01 → 2018/07/31

  Project: Government Ministry › Ministry of Science and Technology

  • curves 100%
  • Hopf Curve 100%
  • Neural Network 100%
  • Brain Dynamics 100%
  • Traveling Wave 100%

• 應用最佳化理論於數據分析之研究

  Chen, J.

  2017/08/01 → 2019/07/31

  Project: Government Ministry › Ministry of Science and Technology

  • Approximates 100%
  • Linear System 100%
  • algorithms 100%
  • norm 66%
  • Numerical Experiment 50%

• 應用逐步EM演算法於混合廻歸模型估計之研究

  Chang, S.

  2017/08/01 → 2018/09/30

  Project: Government Ministry › Ministry of Science and Technology

  • Initial Value 100%
  • Regression Model 100%
  • algorithms 100%
  • Maximization 100%
  • mixtures 42%

• 半母數加速壽命模型在多維度結果依賴設計下的統計分析

  Lu, T.

  2017/08/01 → 2018/07/31

  Project: Government Ministry › Ministry of Science and Technology

  • Failure Time 100%
  • design 100%
  • sampling 80%
  • data 60%
  • Real Data 50%

• 對稱錐上的類距離函數與自協調函數

  Chang, Y.-L. (PI)

  2017/08/01 → 2018/10/31

  Project: Government Ministry › Ministry of Science and Technology

• 臺灣與德國中學數學教師專業覺適力跨文化比較研究

  Hsieh, F.

  2017/08/01 → 2021/07/31

  Project: Government Ministry › Ministry of Science and Technology

  • norm 100%
  • In-service Teachers 100%
  • Service Teacher 100%
  • taiwan 83%
  • comparative evaluations 50%

• 從生命遊戲到點燈遊戲的數學性質研究

  Guo, J.

  2017/08/01 → 2018/07/31

  Project: Government Ministry › Ministry of Science and Technology

  • algebra 100%
  • grids 100%
  • polynomials 100%
  • computers 100%
  • Automaton 100%

• 維騰拉普拉斯算子和擬埃爾米特瑞奇曲率

  Chen, J.

  2017/08/01 → 2018/10/31

  Project: Government Ministry › Ministry of Science and Technology

  • CR Manifold 100%
  • eigenvalues 100%
  • Bochner 33%
  • Manifold 33%
  • Eigenvalue 33%

• 群環上乘法 Jordan 分解問題再探

  Liu, C.

  2017/08/01 → 2018/07/31

  Project: Government Ministry › Ministry of Science and Technology

  • rings 100%
  • decomposition 100%
  • jordan 100%
  • Jordan Decomposition 100%
  • Multiplicative 100%

• 求解代數黎卡迪方程式的投影方法之可解繼承性

  Fan, H.

  2017/08/01 → 2018/07/31

  Project: Government Ministry › Ministry of Science and Technology

  • Riccati Equation 100%
  • riccati equation 100%
  • Detectability 50%
  • Approximate Solution 50%
  • Solvability 50%

• 黎卡提微分方程之動態行為及其應用

  Shieh, S.

  2017/08/01 → 2019/07/31

  Project: Government Ministry › Ministry of Science and Technology

  • differential equations 100%
  • Differential Equation 100%
  • solutions 71%
  • asymptotic solutions 28%
  • Asymptotics 28%