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                    | 01_Course_Introduction_9-18.mp4 | 39.99Мб | 
                
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                    | 02 Week 6- 18 2 - Implementing time-stepping for the one-way wave equation 11-36 mp4 | 22.32Мб | 
                
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                    | 03_Week_10-_29.3_-_Specifying_the_PDE_7-57.srt | 10.68Кб | 
                
                    | 03_Week_10-_29.3_-_Specifying_the_PDE_7-57.txt | 6.45Кб | 
                
                    | 03_Week_10-_30.3_-_Implementing_the_boundaries_away_from_wing_3-17.mp4 | 5.85Мб | 
                
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                    | 03_Week_10-_30.3_-_Implementing_the_boundaries_away_from_wing_3-17.txt | 2.87Кб | 
                
                    | 03_Week_2-_4.2_-_Implementation_of_boundary_conditions_5-18.mp4 | 17.39Мб | 
                
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                    | 03_Week_2-_4.2_-_Implementation_of_boundary_conditions_5-18.txt | 4.22Кб | 
                
                    | 03 Week 2- 5 2 - Second derivatives and forward- and backward differences 11-25 mp4 | 32.77Мб | 
                
                    | 03 Week 2- 5 2 - Second derivatives and forward- and backward differences 11-25 srt | 13.65Кб | 
                
                    | 03 Week 2- 5 2 - Second derivatives and forward- and backward differences 11-25 txt | 8.42Кб | 
                
                    | 03_Week_2-_6.2_-_Implementing_bvp4c_in_MATLAB__21-32.mp4 | 41.57Мб | 
                
                    | 03_Week_2-_6.2_-_Implementing_bvp4c_in_MATLAB__21-32.srt | 27.53Кб | 
                
                    | 03_Week_2-_6.2_-_Implementing_bvp4c_in_MATLAB__21-32.txt | 16.95Кб | 
                
                    | 03_Week_3-_7.2_-_The_Advection-Diffusion_Equations_14-16.mp4 | 37.11Мб | 
                
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                    | 03_Week_3-_8.3_-_Building_the_Laplacian_Matrix_19-23.mp4 | 63.19Мб | 
                
                    | 03_Week_3-_8.3_-_Building_the_Laplacian_Matrix_19-23.srt | 24.87Кб | 
                
                    | 03_Week_3-_8.3_-_Building_the_Laplacian_Matrix_19-23.txt | 15.33Кб | 
                
                    | 03_Week_3-_9.3_-_Factoring_a_Matrix_11-08.mp4 | 32.84Мб | 
                
                    | 03_Week_3-_9.3_-_Factoring_a_Matrix_11-08.srt | 13.19Кб | 
                
                    | 03_Week_3-_9.3_-_Factoring_a_Matrix_11-08.txt | 8.11Кб | 
                
                    | 03_Week_4-_10.2_-_Strict_diagonal_dominance_17-50.mp4 | 56.10Мб | 
                
                    | 03_Week_4-_10.2_-_Strict_diagonal_dominance_17-50.srt | 20.68Кб | 
                
                    | 03_Week_4-_10.2_-_Strict_diagonal_dominance_17-50.txt | 12.55Кб | 
                
                    | 03_Week_4-_11.3_-_FFT_facts_10-52.mp4 | 29.43Мб | 
                
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                    | 03_Week_4-_11.3_-_FFT_facts_10-52.txt | 8.56Кб | 
                
                    | 03_Week_4-_12.3_-_Matrices_for_the_advection-diffusion_14-22.mp4 | 38.08Мб | 
                
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                    | 03_Week_4-_12.3_-_Matrices_for_the_advection-diffusion_14-22.txt | 10.20Кб | 
                
                    | 03_Week_5-_13.2_-_Computing_derivatives_with_the_FFT_10-24.mp4 | 18.36Мб | 
                
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                    | 03_Week_5-_13.2_-_Computing_derivatives_with_the_FFT_10-24.txt | 7.76Кб | 
                
                    | 03_Week_5-_14.3_-_MATLAB_and_the_2-D_heat_equation_18-29.mp4 | 49.85Мб | 
                
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                    | 03_Week_5-_15.3_-_Higher-accuracy_derivatives_and_schemes_9-18.mp4 | 24.36Мб | 
                
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                    | 03_Week_5-_15.3_-_Higher-accuracy_derivatives_and_schemes_9-18.txt | 6.77Кб | 
                
                    | 03 Week 6- 16 2 - Stability of forward Euler for one-way wave equation 7-06 mp4 | 19.17Мб | 
                
                    | 03 Week 6- 16 2 - Stability of forward Euler for one-way wave equation 7-06 srt | 7.72Кб | 
                
                    | 03 Week 6- 16 2 - Stability of forward Euler for one-way wave equation 7-06 txt | 4.66Кб | 
                
                    | 03_Week_6-_17.3_-_Higher-order_PDEs_and_stability_9-00.mp4 | 25.71Мб | 
                
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                    | 03_Week_6-_17.3_-_Higher-order_PDEs_and_stability_9-00.txt | 7.27Кб | 
                
                    | 03 Week 6- 18 3 - Violating and respecting CFL in the one-way wave equation 10-01 mp4 | 20.50Мб | 
                
                    | 03 Week 6- 18 3 - Violating and respecting CFL in the one-way wave equation 10-01 srt | 13.53Кб | 
                
                    | 03 Week 6- 18 3 - Violating and respecting CFL in the one-way wave equation 10-01 txt | 8.30Кб | 
                
                    | 03_Week_7-_19.2_-_Fourier_mode_expansions_12-52.mp4 | 31.25Мб | 
                
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                    | 03_Week_7-_19.2_-_Fourier_mode_expansions_12-52.txt | 9.01Кб | 
                
                    | 03_Week_7-_20.3_-_The_Chebychev_basis_functions_9-52.mp4 | 28.52Мб | 
                
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                    | 03_Week_7-_20.3_-_The_Chebychev_basis_functions_9-52.txt | 7.17Кб | 
                
                    | 03_Week_7-_21.3_-_The_time-evolution_of_advection-diffusion_13-15.mp4 | 22.15Мб | 
                
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                    | 03_Week_7-_21.3_-_The_time-evolution_of_advection-diffusion_13-15.txt | 9.87Кб | 
                
                    | 03_Week_8-_22.2_-_2D_Chebychev_differentiation_and_KRON_12-10.mp4 | 25.66Мб | 
                
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                    | 03_Week_8-_22.2_-_2D_Chebychev_differentiation_and_KRON_12-10.txt | 9.67Кб | 
                
                    | 03_Week_8-_23.3_-_Comparison_of_coding_techniques_9-16.mp4 | 23.27Мб | 
                
                    | 03_Week_8-_23.3_-_Comparison_of_coding_techniques_9-16.srt | 11.17Кб | 
                
                    | 03_Week_8-_23.3_-_Comparison_of_coding_techniques_9-16.txt | 6.71Кб | 
                
                    | 03_Week_8-_24.3_-_Chebychev_points_and_polynomials_8-47.mp4 | 24.16Мб | 
                
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                    | 03_Week_8-_24.3_-_Chebychev_points_and_polynomials_8-47.txt | 7.44Кб | 
                
                    | 03_Week_9-_25.2_-_The_nonlinear_Schrodinger_equation_12-16.mp4 | 34.52Мб | 
                
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                    | 03_Week_9-_25.2_-_The_nonlinear_Schrodinger_equation_12-16.txt | 9.95Кб | 
                
                    | 03_Week_9-_26.3_-_Lagrange_polynomials_11-17.mp4 | 27.14Мб | 
                
                    | 03_Week_9-_26.3_-_Lagrange_polynomials_11-17.srt | 11.32Кб | 
                
                    | 03_Week_9-_26.3_-_Lagrange_polynomials_11-17.txt | 6.79Кб | 
                
                    | 03_Week_9-_27.3_-_Implementing_the_finite_elements_10-08.mp4 | 29.16Мб | 
                
                    | 03_Week_9-_27.3_-_Implementing_the_finite_elements_10-08.srt | 12.82Кб | 
                
                    | 03_Week_9-_27.3_-_Implementing_the_finite_elements_10-08.txt | 7.66Кб | 
                
                    | 04_Week_1-_1.3_-_General_Time_Stepping_Schemes_8-30.mp4 | 25.96Мб | 
                
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                    | 04_Week_1-_1.3_-_General_Time_Stepping_Schemes_8-30.txt | 6.78Кб | 
                
                    | 04_Week_1-_2.3_-_Advantages_of_Higher-order_Schemes_7-00.mp4 | 22.97Мб | 
                
                    | 04_Week_1-_2.3_-_Advantages_of_Higher-order_Schemes_7-00.srt | 10.34Кб | 
                
                    | 04_Week_1-_2.3_-_Advantages_of_Higher-order_Schemes_7-00.txt | 6.44Кб | 
                
                    | 04_Week_1-_3.3_-_Reduction_of_the_Infinite_Domain_8-37.mp4 | 24.29Мб | 
                
                    | 04_Week_1-_3.3_-_Reduction_of_the_Infinite_Domain_8-37.srt | 11.05Кб | 
                
                    | 04_Week_1-_3.3_-_Reduction_of_the_Infinite_Domain_8-37.txt | 6.82Кб | 
                
                    | 04_Week_10-_28.3_-_Boundary_conditions_10-44.mp4 | 26.77Мб | 
                
                    | 04_Week_10-_28.3_-_Boundary_conditions_10-44.srt | 12.91Кб | 
                
                    | 04_Week_10-_28.3_-_Boundary_conditions_10-44.txt | 7.79Кб | 
                
                    | 04_Week_10-_29.4_-_Generating_a_mesh_4-14.mp4 | 9.45Мб | 
                
                    | 04_Week_10-_29.4_-_Generating_a_mesh_4-14.srt | 6.41Кб | 
                
                    | 04_Week_10-_29.4_-_Generating_a_mesh_4-14.txt | 3.86Кб | 
                
                    | 04_Week_10-_30.4_-_Meshing_and_solving_the_PDE_4-33.mp4 | 9.08Мб | 
                
                    | 04_Week_10-_30.4_-_Meshing_and_solving_the_PDE_4-33.srt | 6.75Кб | 
                
                    | 04_Week_10-_30.4_-_Meshing_and_solving_the_PDE_4-33.txt | 4.13Кб | 
                
                    | 04_Week_2-_4.3_-_Coding_the_boundary_value_problem_15-26.mp4 | 42.38Мб | 
                
                    | 04_Week_2-_4.3_-_Coding_the_boundary_value_problem_15-26.srt | 20.87Кб | 
                
                    | 04_Week_2-_4.3_-_Coding_the_boundary_value_problem_15-26.txt | 12.66Кб | 
                
                    | 04_Week_2-_5.3_-_Boundary_value_problems_and_Axb__9-38.mp4 | 28.93Мб | 
                
                    | 04_Week_2-_5.3_-_Boundary_value_problems_and_Axb__9-38.srt | 11.47Кб | 
                
                    | 04_Week_2-_5.3_-_Boundary_value_problems_and_Axb__9-38.txt | 7.05Кб | 
                
                    | 04_Week_2-_6.3_-_Nonlinear_boundary_value_problems_5-29.mp4 | 18.71Мб | 
                
                    | 04_Week_2-_6.3_-_Nonlinear_boundary_value_problems_5-29.srt | 7.25Кб | 
                
                    | 04_Week_2-_6.3_-_Nonlinear_boundary_value_problems_5-29.txt | 4.44Кб | 
                
                    | 04 Week 3- 7 3 - Solution Techniques and Characteristics of Advection-Diffusion 7-30 mp4 | 23.09Мб | 
                
                    | 04 Week 3- 7 3 - Solution Techniques and Characteristics of Advection-Diffusion 7-30 srt | 11.25Кб | 
                
                    | 04 Week 3- 7 3 - Solution Techniques and Characteristics of Advection-Diffusion 7-30 txt | 7.24Кб | 
                
                    | 04_Week_3-_8.4_-_Derivative_Matrices_2-06.mp4 | 7.70Мб | 
                
                    | 04_Week_3-_8.4_-_Derivative_Matrices_2-06.srt | 2.74Кб | 
                
                    | 04_Week_3-_8.4_-_Derivative_Matrices_2-06.txt | 1.78Кб | 
                
                    | 04_Week_3-_9.4_-_The_Backslash_Command_in_MATLAB_16-19.mp4 | 46.28Мб | 
                
                    | 04_Week_3-_9.4_-_The_Backslash_Command_in_MATLAB_16-19.srt | 19.06Кб | 
                
                    | 04_Week_3-_9.4_-_The_Backslash_Command_in_MATLAB_16-19.txt | 11.75Кб | 
                
                    | 04_Week_4-_10.3_-_Gauss-Seidel_iterations_9-50.mp4 | 27.40Мб | 
                
                    | 04_Week_4-_10.3_-_Gauss-Seidel_iterations_9-50.srt | 11.91Кб | 
                
                    | 04_Week_4-_10.3_-_Gauss-Seidel_iterations_9-50.txt | 7.34Кб | 
                
                    | 04_Week_4-_11.4_-_The_Fast_Poisson_Solver_10-34.mp4 | 32.48Мб | 
                
                    | 04_Week_4-_11.4_-_The_Fast_Poisson_Solver_10-34.srt | 12.19Кб | 
                
                    | 04_Week_4-_11.4_-_The_Fast_Poisson_Solver_10-34.txt | 7.36Кб | 
                
                    | 04_Week_5-_13.3_-_Building_the_Laplace_derivative_matrix_21-37.mp4 | 43.36Мб | 
                
                    | 04_Week_5-_13.3_-_Building_the_Laplace_derivative_matrix_21-37.srt | 26.88Кб | 
                
                    | 04_Week_5-_13.3_-_Building_the_Laplace_derivative_matrix_21-37.txt | 16.08Кб | 
                
                    | 04_Week_5-_15.4_-_Implicit_numerical_schemes_8-19.mp4 | 24.10Мб | 
                
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                    | 04_Week_5-_15.4_-_Implicit_numerical_schemes_8-19.txt | 6.79Кб | 
                
                    | 04 Week 6- 16 3 - Von Neumann for alternative schemes for the one-way wave equation 16-10 mp4 | 43.91Мб | 
                
                    | 04 Week 6- 16 3 - Von Neumann for alternative schemes for the one-way wave equation 16-10 srt | 19.34Кб | 
                
                    | 04 Week 6- 16 3 - Von Neumann for alternative schemes for the one-way wave equation 16-10 txt | 11.73Кб | 
                
                    | 04 Week 6- 17 4 - Higher-order derivatives and numerical stiffness 15-18 mp4 | 39.42Мб | 
                
                    | 04 Week 6- 17 4 - Higher-order derivatives and numerical stiffness 15-18 srt | 21.70Кб | 
                
                    | 04 Week 6- 17 4 - Higher-order derivatives and numerical stiffness 15-18 txt | 13.50Кб | 
                
                    | 04 Week 6- 18 4 - Violating and respecting CFL in the heat equation 14-30 mp4 | 33.13Мб | 
                
                    | 04 Week 6- 18 4 - Violating and respecting CFL in the heat equation 14-30 srt | 19.86Кб | 
                
                    | 04 Week 6- 18 4 - Violating and respecting CFL in the heat equation 14-30 txt | 12.24Кб | 
                
                    | 04_Week_7-_19.3_-_Modal_structures_for_cosine-sine_transforms_8-05.mp4 | 24.88Мб | 
                
                    | 04_Week_7-_19.3_-_Modal_structures_for_cosine-sine_transforms_8-05.srt | 10.28Кб | 
                
                    | 04_Week_7-_19.3_-_Modal_structures_for_cosine-sine_transforms_8-05.txt | 7.08Кб | 
                
                    | 04_Week_7-_20.4_-_Domain_discretization_with_Chebychev.mp4 | 36.07Мб | 
                
                    | 04_Week_7-_20.4_-_Domain_discretization_with_Chebychev.srt | 14.83Кб | 
                
                    | 04_Week_7-_20.4_-_Domain_discretization_with_Chebychev.txt | 9.15Кб | 
                
                    | 04_Week_7-_21.4_-_Visualization_and_data_processing_16-53.mp4 | 31.88Мб | 
                
                    | 04_Week_7-_21.4_-_Visualization_and_data_processing_16-53.srt | 20.39Кб | 
                
                    | 04_Week_7-_21.4_-_Visualization_and_data_processing_16-53.txt | 12.07Кб | 
                
                    | 04_Week_8-_22.3_-_Implementing_the_Chebychev_function_15-56.mp4 | 35.19Мб | 
                
                    | 04_Week_8-_22.3_-_Implementing_the_Chebychev_function_15-56.srt | 20.96Кб | 
                
                    | 04_Week_8-_22.3_-_Implementing_the_Chebychev_function_15-56.txt | 12.31Кб | 
                
                    | 04_Week_8-_23.4_-_More_comparisons_9-46.mp4 | 29.79Мб | 
                
                    | 04_Week_8-_23.4_-_More_comparisons_9-46.srt | 11.69Кб | 
                
                    | 04_Week_8-_23.4_-_More_comparisons_9-46.txt | 7.09Кб | 
                
                    | 04_Week_8-_24.4_-_Building_the_Chebycheve_derivative_matrix.mp4 | 31.11Мб | 
                
                    | 04_Week_8-_24.4_-_Building_the_Chebycheve_derivative_matrix.srt | 12.44Кб | 
                
                    | 04_Week_8-_24.4_-_Building_the_Chebycheve_derivative_matrix.txt | 7.62Кб | 
                
                    | 04_Week_9-_25.3_-_Algorithm_for_split_stepping_7-50.mp4 | 20.80Мб | 
                
                    | 04_Week_9-_25.3_-_Algorithm_for_split_stepping_7-50.srt | 9.26Кб | 
                
                    | 04_Week_9-_25.3_-_Algorithm_for_split_stepping_7-50.txt | 5.70Кб | 
                
                    | 04_Week_9-_26.4_-_2D_Lagrange_polynomials.mp4 | 29.09Мб | 
                
                    | 04_Week_9-_26.4_-_2D_Lagrange_polynomials.srt | 12.88Кб | 
                
                    | 04_Week_9-_26.4_-_2D_Lagrange_polynomials.txt | 7.87Кб | 
                
                    | 04_Week_9-_27.4_-_Setting_up_Axb__12-04.mp4 | 34.20Мб | 
                
                    | 04_Week_9-_27.4_-_Setting_up_Axb__12-04.srt | 15.67Кб | 
                
                    | 04_Week_9-_27.4_-_Setting_up_Axb__12-04.txt | 9.50Кб | 
                
                    | 05_Week_1-_1.4_-_Runge-Kutta_Time-Stepping_5-03.mp4 | 14.87Мб | 
                
                    | 05_Week_1-_1.4_-_Runge-Kutta_Time-Stepping_5-03.srt | 6.48Кб | 
                
                    | 05_Week_1-_1.4_-_Runge-Kutta_Time-Stepping_5-03.txt | 4.10Кб | 
                
                    | 05_Week_1-_2.4_-_Numerical_Round-off_and_Optimal_Step_Size_8-46.mp4 | 23.97Мб | 
                
                    | 05_Week_1-_2.4_-_Numerical_Round-off_and_Optimal_Step_Size_8-46.srt | 10.23Кб | 
                
                    | 05_Week_1-_2.4_-_Numerical_Round-off_and_Optimal_Step_Size_8-46.txt | 6.41Кб | 
                
                    | 05_Week_1-_3.4_-_Formulation_of_a_Practical_Example_8-02.mp4 | 25.04Мб | 
                
                    | 05_Week_1-_3.4_-_Formulation_of_a_Practical_Example_8-02.srt | 10.71Кб | 
                
                    | 05_Week_1-_3.4_-_Formulation_of_a_Practical_Example_8-02.txt | 6.51Кб | 
                
                    | 05_Week_10-_28.4_-_No_slip_boundaries_on_airfoil_12-42.mp4 | 30.72Мб | 
                
                    | 05_Week_10-_28.4_-_No_slip_boundaries_on_airfoil_12-42.srt | 16.11Кб | 
                
                    | 05_Week_10-_28.4_-_No_slip_boundaries_on_airfoil_12-42.txt | 9.87Кб | 
                
                    | 05_Week_10-_29.5_-_Solving_the_PDE_5-05.mp4 | 9.74Мб | 
                
                    | 05_Week_10-_29.5_-_Solving_the_PDE_5-05.srt | 6.04Кб | 
                
                    | 05_Week_10-_29.5_-_Solving_the_PDE_5-05.txt | 3.45Кб | 
                
                    | 05_Week_10-_30.5_-_Rotating_the_internal_boundaries_3-48.mp4 | 6.50Мб | 
                
                    | 05_Week_10-_30.5_-_Rotating_the_internal_boundaries_3-48.srt | 4.66Кб | 
                
                    | 05_Week_10-_30.5_-_Rotating_the_internal_boundaries_3-48.txt | 2.39Кб | 
                
                    | 05_Week_2-_4.4_-_Code_exploration_for_strategic_searching_5-31.mp4 | 14.63Мб | 
                
                    | 05_Week_2-_4.4_-_Code_exploration_for_strategic_searching_5-31.srt | 7.37Кб | 
                
                    | 05_Week_2-_4.4_-_Code_exploration_for_strategic_searching_5-31.txt | 4.42Кб | 
                
                    | 05_Week_2-_5.4_-_Boundary_implementation__3-43.mp4 | 11.53Мб | 
                
                    | 05_Week_2-_5.4_-_Boundary_implementation__3-43.srt | 4.15Кб | 
                
                    | 05_Week_2-_5.4_-_Boundary_implementation__3-43.txt | 2.58Кб | 
                
                    | 05_Week_2-_6.4_-_Solving_nonlinear_problems_with_bvp4c__15-50.mp4 | 33.70Мб | 
                
                    | 05_Week_2-_6.4_-_Solving_nonlinear_problems_with_bvp4c__15-50.srt | 20.76Кб | 
                
                    | 05_Week_2-_6.4_-_Solving_nonlinear_problems_with_bvp4c__15-50.txt | 12.78Кб | 
                
                    | 05_Week_5-_15.5_-_Predictor-corrector_techniques_10-05.mp4 | 26.40Мб | 
                
                    | 05_Week_5-_15.5_-_Predictor-corrector_techniques_10-05.srt | 12.21Кб | 
                
                    | 05_Week_5-_15.5_-_Predictor-corrector_techniques_10-05.txt | 7.60Кб | 
                
                    | 05_Week_6-_16.4_-_leap-frog_schemes_for_one-way_equation_12-27.mp4 | 33.38Мб | 
                
                    | 05_Week_6-_16.4_-_leap-frog_schemes_for_one-way_equation_12-27.srt | 15.84Кб | 
                
                    | 05_Week_6-_16.4_-_leap-frog_schemes_for_one-way_equation_12-27.txt | 9.64Кб | 
                
                    | 05_Week_7-_19.4_-_Cooley-Tukey_and_the_FFT_algorithm_17-27.mp4 | 51.38Мб | 
                
                    | 05_Week_7-_19.4_-_Cooley-Tukey_and_the_FFT_algorithm_17-27.srt | 20.18Кб | 
                
                    | 05_Week_7-_19.4_-_Cooley-Tukey_and_the_FFT_algorithm_17-27.txt | 12.27Кб | 
                
                    | 05_Week_8-_24.5_-_Implementing_the_Chebychev_matrix_10-18.mp4 | 29.33Мб | 
                
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