數學系

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• A型有限W-超代數研究方法之推廣與應用(1/2)

  Peng, Y.

  1/08/20 → 31/07/21

  研究計畫: Research

  • Superalgebra 100%
  • Lie Superalgebra 73%
  • Research Methods 31%
  • Affine Hecke Algebra 30%
  • Nilpotent Element 28%

• A型有限W-超代數研究方法之推廣與應用(2/2)

  Peng, Y.

  1/08/21 → 30/09/22

  研究計畫: Research

  • Lie Superalgebra 100%
  • Superalgebra 58%
  • Tilting Modules 45%
  • Classify 27%
  • Character 26%

• Flag Hardy空間的原子分解(1/2)

  Lee, M.

  1/08/19 → 31/07/20

  研究計畫: Research

  • Space of Homogeneous Type 100%
  • Besov Spaces 77%
  • Atomic Decomposition 47%
  • Hardy Space 36%
  • Quasi-metric 33%

• Flag Hardy空間的原子分解(2/2)

  Lee, M.

  1/08/20 → 31/07/21

  研究計畫: Research

  • Atomic Decomposition 100%
  • Hardy Space 76%
  • Homogeneous Groups 51%
  • Heisenberg Group 41%

• Flag Hardy空間的極大函數刻劃(1/2)

  Lee, M.

  1/08/17 → 31/07/18

  研究計畫: Research

  • Hardy Space 100%
  • Littlewood-Paley Function 50%
  • Riesz Transform 42%
  • Surface integral 41%
  • Square Functions 41%

• Flag Hardy空間的極大函數刻劃(2/2)

  Lee, M.

  1/08/18 → 31/07/19

  研究計畫: Research

  • Singular Integral Operator 100%
  • Doubling 71%
  • Boundedness 70%
  • Hardy Space 64%
  • Triebel-Lizorkin Space 54%

• FlagHardy空間理論(1/2)

  Lee, M.

  1/08/21 → 31/07/22

  研究計畫: Research

• FlagHardy空間理論(2/2)

  Lee, M.

  1/08/22 → 31/07/23

  研究計畫: Research

• Hankel矩陣的數值域之研究

  Gau, H.

  1/08/22 → 31/07/23

  研究計畫: Research

• John-Stromberg不等式與VMO函數類(1/3)

  Lin, C.

  1/08/20 → 31/07/21

  研究計畫: Research

  • Doubling 100%
  • Besov Spaces 96%
  • Embedding Theorem 53%
  • Affine Space 53%
  • Characterization 48%

• John-Stromberg不等式與VMO函數類(2/3)

  Lin, C.

  1/08/21 → 31/07/22

  研究計畫: Research

  • Affine Space 100%
  • Regularity Theory 54%
  • Monge-Ampère Equation 53%
  • Entire Solution 52%
  • Measure space 47%

• John-Stromberg不等式與VMO函數類(3/3)

  Lin, C.

  1/08/22 → 31/07/23

  研究計畫: Research

  • Affine Space 100%
  • Regularity Theory 54%
  • Monge-Ampère Equation 53%
  • Entire Solution 52%
  • Measure space 47%

• K穩定與對數規範邊界之計算(1/2)

  Chen, J.

  1/08/21 → 31/07/22

  研究計畫: Research

• K穩定與對數規範邊界之計算(2/2)

  Chen, J.

  1/08/22 → 31/07/23

  研究計畫: Research

• Monge-Ampere 方程相關的 Besove 空間(1/2)

  Lee, M.

  1/08/15 → 31/07/16

  研究計畫: Research

  • Campanato Space 100%
  • Hardy Space 68%
  • Lipschitz Spaces 45%
  • G-function 45%
  • Atomic Decomposition 44%

• Monge-Ampere 方程相關的 Besove 空間(2/2)

  Lee, M.

  1/08/16 → 31/07/17

  研究計畫: Research

  • Carleson Measure 100%
  • Characterization 40%
  • Family 35%
  • Borel Measure 27%
  • Doubling 27%

• Periplectic李超代數範疇O的特徵標公式(1/2)

  Chen, C.

  1/10/19 → 31/07/20

  研究計畫: Research

  • Lie Superalgebra 100%
  • Brauer Algebra 23%
  • Character Formula 21%
  • Functor 21%
  • Character 18%

• Q-多項式距離正則圖及加法雙仿射哈克代數(1/2)

  Huang, H.

  1/08/21 → 31/07/22

  研究計畫: Research

  • modules 100%
  • algebra 76%
  • integers 39%
  • operators 28%
  • symmetry 23%

• Q-多項式距離正則圖及加法雙仿射哈克代數(2/2)

  Huang, H.

  1/08/22 → 31/07/23

  研究計畫: Research

• Sn矩陣與伴同矩陣的零延拓指數之研究

  Gau, H.

  1/08/16 → 31/07/17

  研究計畫: Research

  • Numerical Range 100%
  • Companion Matrix 77%
  • Numerical Radius 55%
  • Dilation 51%
  • Contraction 47%

• 一些流形上的幾何不變量之研究(1/2)

  Huang, R.

  1/08/16 → 31/07/17

  研究計畫: Research

  • Circle Action 100%
  • CR Manifold 62%
  • Manifolds with Boundary 54%
  • Asymptotic Formula 45%
  • Analytic Torsion 34%

• 一些流形上的幾何不變量之研究(2/2)

  Huang, R.

  1/08/17 → 31/07/18

  研究計畫: Research

  • Analytic Torsion 100%
  • Manifolds with Boundary 72%
  • CR Manifold 69%
  • Morse Inequalities 47%
  • Index Theorem 39%

• 一些流構耦合與不可壓縮極限的數學流體力學問題(1/2)

  Cheng, C.

  1/08/20 → 31/07/21

  研究計畫: Research

  • Incompressible Limit 100%
  • Coriolis Force 68%
  • Diffeomorphism 44%
  • Vesicles 35%
  • Inextensible 32%

• 一些流構耦合與不可壓縮極限的數學流體力學問題(2/2)

  Cheng, C.

  1/08/21 → 31/08/23

  研究計畫: Research

  • Incompressible Limit 100%
  • Coriolis Force 68%
  • Diffeomorphism 44%
  • Vesicles 35%
  • Inextensible 32%

• 一些數值半徑不等式其等式情形之研究

  Gau, H.

  1/08/18 → 31/07/19

  研究計畫: Research

  • Numerical Radius 100%
  • Equality 59%
  • Aluthge Transform 39%
  • Polar decomposition 33%
  • Characterization 13%

• 一般型不規則投影三維簇之線性系統|5Ｋ|的雙有理現象

  Chen, J.

  1/08/19 → 31/07/21

  研究計畫: Research

• 一般與流體力學相關的偏微分方程的強解之存在性(1/2)

  Cheng, C.

  1/08/22 → 31/07/23

  研究計畫: Research

• 三維度Sarkisov Program有限性之估計與三維法諾(Fano)流形之線性系統維度上界估計

  Chen, J.

  1/08/15 → 31/07/16

  研究計畫: Research

  • Three-dimensional 100%
  • Seshadri Constants 72%
  • Birational Maps 66%
  • Singularity 65%
  • Flip 53%

• 三維度奇異點變化與第二陳氏類半正向性之研究

  Chen, J.

  1/08/16 → 31/08/17

  研究計畫: Research

  • Chern Classes 100%
  • Threefolds 93%
  • Singularity 88%
  • Birational Maps 60%
  • Minimal Model 49%

• 三維度極小流形上雙有理映射之變化

  Chen, J.

  1/08/17 → 31/08/18

  研究計畫: Research

  • Singularity 100%
  • Curve 87%
  • Contraction 80%
  • Birational Maps 67%
  • Minimal Model 55%

• 子由數學小學堂數位題型更新與平板 App持續開發計畫

  Tseng, K.

  1/01/22 → 31/12/22

  研究計畫: Research

• 小小學堂與數位題型師生互動平板介面設計

  Wu, W.

  1/08/16 → 31/07/17

  研究計畫: Research

  • Computer program listings 100%
  • Mobile computing 61%
  • Websites 31%
  • Students 26%

• 小數sub-Laplacian的分析之一

  Nhieu, D.

  1/08/20 → 31/07/21

  研究計畫: Research

  • Sub-Laplacian 100%
  • Fractional 54%
  • Harnack Inequality 45%
  • Nonnegative Solution 41%
  • Context 23%

• 反映擴散系統及網格型方程之動態行為(1/2)

  Hsu, C.

  1/08/21 → 31/07/22

  研究計畫: Research

• 反映擴散系統及網格型方程之動態行為(2/2)

  Hsu, C.

  1/08/22 → 31/07/23

  研究計畫: Research

• 太空與生物科學中的非線性守恆律

  Hong, J. M.

  1/08/16 → 31/07/17

  研究計畫: Research

  • Astrophysics 100%
  • Balance Laws 94%
  • Hydrodynamics 75%
  • Hyperbolic Systems 75%
  • Biology 73%

• 充分降維分析中基於虛擬變量之維度估計法

  Huang, S.

  1/08/20 → 31/07/21

  研究計畫: Research

  • Random Field 100%
  • Asymptotic Efficiency 95%
  • Principal Component Analysis 89%
  • Asymptotic Normality 87%
  • Sea Surface Temperature 81%

• 加權完全交集子流形之性質及Seshadri常數計算之研究

  Chen, J.

  1/08/18 → 31/07/19

  研究計畫: Research

  • Seshadri Constants 100%
  • Complete Intersection 70%
  • Calabi-Yau 24%
  • Flip 24%
  • Projective plane 22%

• 古典李超代數的Whittaker範疇(1/3)

  Chen, C.

  1/08/21 → 31/07/22

  研究計畫: Research

• 古典李超代數的Whittaker範疇(2/3)

  Chen, C.

  1/08/22 → 31/07/23

  研究計畫: Research

• 四維辛流形上之特殊漢米爾頓群及拉格朗日曲面

  Yau, M.

  1/08/20 → 31/07/21

  研究計畫: Research

  • 4-manifold 100%
  • Lagrangian Surfaces 88%
  • Circle Action 80%
  • Hamiltonian Actions 79%
  • Fibration 30%

• 平行化迭代自適應多尺度有限元素法：演算法設計，科學計算軟體發展，理論與應用

  Hwang, F.

  1/08/15 → 31/10/16

  研究計畫: Research

  • Multiscale Methods 100%
  • Finite Element Method 63%
  • Basis Functions 59%
  • Interface Problems 57%
  • Boundary conditions 56%

• 由一般集合族所衍生的 BMO 空間(1/3)

  Lin, C.

  1/08/17 → 31/07/18

  研究計畫: Research

• 由一般集合族所衍生的 BMO 空間(2/3)

  Lin, C.

  1/08/18 → 31/07/19

  研究計畫: Research

  • Hardy Space 100%
  • Singular Integrals 92%
  • Boundedness 63%
  • Singular Integral Operator 38%
  • Product Space 37%

• 由一般集合族所衍生的 BMO 空間(3/3)

  Lin, C.

  1/08/19 → 31/07/21

  研究計畫: Research

  • Singular Integral Operator 100%
  • Besov Spaces 78%
  • Doubling 54%
  • Space of Homogeneous Type 50%
  • Triebel-Lizorkin Space 46%

• 各式樣方法在等角直線叢(1/2)

  Yu, W.

  1/10/18 → 31/07/19

  研究計畫: Research

• 各式樣方法在等角直線叢(2/2)

  Yu, W.

  1/08/19 → 31/07/20

  研究計畫: Research

  • Equiangular 100%
  • Forbidden Subgraph 92%
  • Angle 58%
  • Line 46%
  • Eigenvalue 43%

• 在海森保群內的諾伊曼問題(1/2)

  Nhieu, D.

  1/08/15 → 31/07/16

  研究計畫: Research

  • Heisenberg Group 100%
  • Neumann Problem 97%
  • Neumann function 65%
  • Variational Solution 62%

• 在海森保群內的諾伊曼問題(2/2)

  Nhieu, D.

  1/08/16 → 31/07/17

  研究計畫: Research

  • Heisenberg Group 100%
  • Neumann Problem 97%
  • Neumann function 65%
  • Variational Solution 62%

• 宇拉卡代數及其應用(1/4)

  Huang, H.

  1/08/17 → 31/07/18

  研究計畫: Research