理学科　数学プログラム

Keyphrases

1. Generalized Quantum Groups 100%
2. Point Vortices 37%
3. Irreducible 37%
4. Root System 37%
5. Irreducible Module 37%
6. Natural Elements 25%
7. Nowhere Differentiable Function 25%
8. Nowhere Differentiable 25%
9. Central Difference 25%
10. Concavity 25%
11. Homomorphism 25%
12. Coxeter Groups 25%
13. Weyl Groupoid 25%
14. Hermann Weyl 25%
15. Quantum Superalgebra 25%
16. Irreducible Characters 25%
17. Finite-dimensional Irreducible Representation 25%
18. Finite-dimensional 25%
19. Groupoid 25%
20. Torus 15%
21. Toroidal Surface 14%
22. Mathematical Justification 12%
23. Background Fields 12%
24. Point Vortex Dynamics 12%
25. Small-scale Vortices 12%
26. Vortex Blob 12%
27. Vortex Stretching 12%
28. Toroidal Geometry 12%
29. Vector Fields on Surfaces 12%
30. 3D Euler Equations 12%
31. Killing Vector Field 12%
32. Plateau Problem 12%
33. Method of Fundamental Solutions 12%
34. Vortex Interactions 12%
35. N-ring 12%
36. Numerical Scheme 12%
37. Numerical Analysis 12%
38. Stationary Flow 12%
39. Finite-dimensional Modules 12%
40. Functional Series 12%
41. Periodic Function 12%
42. Continuous Function 12%
43. Geometrical Viewpoint 12%
44. Geometric Inequalities 12%
45. Parabola 12%
46. Explicit Formula 12%
47. Generalized Root System 12%
48. Finite Sets 12%
49. Finite Algebra 12%
50. Reduction by Stages 12%
51. Finite W-algebras 12%
52. Hamiltonian Reduction 12%
53. Hamiltonian Cycle 12%
54. W-algebras 12%
55. Parabolic Induction 12%
56. Strong Generator 12%
57. Affine W-algebra 12%
58. Screening Operators 12%
59. Logarithmic Module 12%
60. Characteristic Zero 12%
61. Positive Part 12%
62. Algebraically Closed Field 12%
63. Basic Classical Lie Superalgebras 12%
64. Character Formulas 12%
65. Longest Element 12%
66. U-modules 12%
67. Positive Root 12%
68. Simple Lie Superalgebra 12%
69. Reduced Expression 12%
70. Defining Relations 12%
71. Quantum Affine Algebra 12%
72. Nilpotent Element 9%
73. Vortex Equations 8%
74. Delta Function 8%
75. Singular Component 8%
76. Vorticity 8%
77. Singular Decomposition 8%
78. Linear Combination 8%
79. Module Category 8%
80. Representation Category 8%
81. Weyl Group 8%
82. Word Problems 8%
83. Lie Superalgebra 8%
84. Coxeter Element 8%
85. Nichols Algebra 8%
86. Exchange Condition 8%
87. Coset 7%
88. Drinfeld Realization 7%
89. Relaxed Highest-weight Modules 7%
90. Lagrangian Coordinates 6%
91. Lie Brackets 6%
92. Pressure Term 6%
93. Frobenius Theorem 6%
94. Incompressible Euler Equations 6%
95. Mesh Generation 6%
96. Minimal Surfaces 6%
97. Dirichlet Energy 6%
98. Mean Curvature 6%
99. Smooth Surface 6%
100. Approximate Solution 6%

Mathematics

1. Quantum Group 100%
2. Root System 50%
3. Groupoid 50%
4. Irreducibles 37%
5. Irreducible Module 37%
6. Superalgebra 37%
7. Concavity 25%
8. Differentiable Function 25%
9. Central Difference 25%
10. Homomorphism 25%
11. Coxeter Group 25%
12. Irreducible Character 25%
13. Dimensional Irreducible Representation 25%
14. Nilpotent Element 20%
15. Evolution Equation 15%
16. Euler Equation 12%
17. Aspect-Ratio 12%
18. Symplectic Geometry 12%
19. Laplace-Beltrami Operator 12%
20. Flat Torus 12%
21. Constant Curvature 12%
22. Manifold 12%
23. Dynamical System 12%
24. Green's Functions 12%
25. Method of Fundamental Solution 12%
26. Numerical Analysis 12%
27. Plateau Problem 12%
28. Singular Part 12%
29. Delta Function 12%
30. Linear Combination 12%
31. Numerical Scheme 12%
32. Necessary and Sufficient Condition 12%
33. Functional Series 12%
34. Periodic Function 12%
35. Parabola 12%
36. Explicit Formula 12%
37. Finite Set 12%
38. W-algebra 12%
39. Hamiltonian Cycle 12%
40. Functor 12%
41. Critical Level 12%
42. Positive Root 12%
43. Positive Part 12%
44. Algebraically Closed Field 12%
45. Classical Lie Superalgebra 12%
46. Simple Lie Superalgebra 12%
47. Defining Relation 12%
48. Wavelet 12%
49. Analytic Functional 12%
50. Wavelet Transforms 12%
51. Lie Superalgebra 10%
52. Coset 9%
53. Irreducibility 9%
54. Lagrangian Coordinate 6%
55. Lie Bracket 6%
56. Frobenius Theorem 6%
57. Hamiltonian Systems 6%
58. Linearized Stability 6%
59. Stability Analysis 6%
60. Minimal Surface 6%
61. Contours 6%
62. Mean Curvature 6%
63. Mesh Generation 6%
64. Error Analysis 6%
65. Convergence Analysis 6%
66. Smooth Surface 6%
67. Coriolis Force 6%
68. Approximate Solution 6%
69. Flow Field 6%
70. Unit Sphere 6%
71. Mathematical Modeling 6%
72. Vector Field 6%
73. Semisimple 6%
74. Equivariant 6%
75. Inequivalent 6%
76. Subalgebra 6%
77. Heisenberg Algebra 6%
78. Positive Integer 6%
79. Automorphism 6%
80. Vertex Operator 6%