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Mathematics 4 Real Analysis

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Special Functions And Diff. Equation Course Evaluation

Lecture with Ole Christensen. Kapitler: 00:00 - Introduction; 07:00 - Legendre Equation; 11:45 - Power Series Method; 15:15 - Theorem 11.2.2; 22:15 - Lemma 11.2.6; 36:00 - Theorem 11.2.7; 66:00 - Eva [...]

Date: 15/05/2013 12:45 - Duration: 1:16:48 - Views: 1774

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Wavelets And B-Splines Part 2

Lecture with Ole Christensen. Kapitler: 00:00 - Splines; 05:45 - B-Splines; 10:00 - Properties Of The B-Splines; 24:30 - Proof Of Thrm 10.1.3(I); 44:00 - B-Splines Vs Fourier Transform;

Date: 08/05/2013 13:45 - Duration: 0:59:56 - Views: 1568

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Wavelets And B-Splines Part 1

Lecture with Ole Christensen. Kapitler: 00:00 - Repetition: The Construction Of Wavelet Onb; 08:30 - Example: The Haar Mra/Wavelet; 12:30 - More Efficient Compression; 13:30 - Vanishing Moments; 18:00 [...]

Date: 08/05/2013 13:00 - Duration: 0:43:49 - Views: 1535

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Wavelets And Multiresolution Analysis Part 2

Lecture with Ole Christensen. Kapitler: 00:00 - Status ; 01:00 - How To Construct A Mra; 06:00 - Applications Of Wavelets;

Date: 24/04/2013 14:00 - Duration: 0:54:09 - Views: 1503

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Wavelets And Multiresolution Analysis Part 1

Lecture with Ole Christensen. Kapitler: 00:00 - Repetition ; 06:00 - The Key Step (Prop 8.2.6); 29:00 - Construction Of The Wavelet (Thrm 8.2.7); 36:00 - More On The Wavelet (Prop. 8.2.8); 45:00 - Con [...]

Date: 24/04/2013 12:30 - Duration: 0:51:53 - Views: 1529

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The Fourier Transform And Wavelets Part 2

Lecture with Ole Christensen. Kapitler: 00:00 - Wavelets; 03:00 - Preliminaries; 10:30 - Def.: Wavelet; 23:00 - Multiresolution Analysis; 32:00 - Lemma 8.2.2;

Date: 17/04/2013 14:00 - Duration: 0:51:08 - Views: 1548

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Fourier Transform And Wavelets Part 1

Lecture with Ole Christensen. Kapitler: 00:00 - Introduction; 02:45 - Paley-Wiener Space; 06:30 - The Sinc-Function; 08:30 - Shannon Sampling Theorem; 24:00 - Applications; 33:45 - Convolution;

Date: 17/04/2013 12:45 - Duration: 0:47:31 - Views: 1656

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The Fourier Transform Part 2

Lecture with Ole Christensen. Kapitler: 00:00 - Reaching The Goal; 05:00 - Problem With The Fourier Transform; 13:45 - Where Does The Fourier Transform Map Into?; 16:45 - Is F Bounded?; 20:00 - Fourie [...]

Date: 10/04/2013 14:00 - Duration: 0:50:19 - Views: 1547

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The Fourier Transform Part 1

Lecture with Ole Christensen. Kapitler: 00:00 - Introduction; 02:15 - The Fourier Transform; 09:30 - Linearity ; 12:00 - Goal; 15:00 - Properties Of The Fourier Transform; 22:45 - Frequency Vs Fourier [...]

Date: 10/04/2013 12:45 - Duration: 0:47:41 - Views: 1603

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Approximation Theory Part 2

Lecture with Ole Christensen. Kapitler: 00:00 - Def.: Closure Of A Subset; 06:45 - Dense Vs. Closure; 19:00 - Extension Of Operators On Dense Subspaces; 24:15 - Proof;

Date: 03/04/2013 14:00 - Duration: 0:53:27 - Views: 1575

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Approximation Theory Part 1

Lecture with Ole Christensen. Kapitler: 00:00 - Intro To Approximation Theory; 10:00 - Remarks On Vectorspaces In Mat4; 13:30 - Def.: Dense Subset; 19:15 - Dense Subspace Of The Sequence Spaces L^p; 2 [...]

Date: 03/04/2013 12:45 - Duration: 0:48:31 - Views: 1589

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Orthonormal Bases Vs Fourier Series Part 2

Lecture with Ole Christensen. Kapitler: 00:00 - Proof Of Thrm 4.7.2 Continued; 11:00 - Connection To Fourier Series; 11:15 - L2(-Pi,Pi); 16:00 - Complex Fourier Series; 17:45 - Convergence?; 35:45 - P [...]

Date: 20/03/2013 14:00 - Duration: 0:46:36 - Views: 1566

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More On Operators On L2 Part 1

Lecture with Ole Christensen. Kapitler: 00:00 - Repetition - L^2(R); 06:30 - Composition Of Opertors; 21:00 - Basis In Hilbert Spaces; 26:30 - Introduction To Orthonormal Bases; 29:30 - Def: Orthonorm [...]

Date: 20/03/2013 12:45 - Duration: 0:52:33 - Views: 1602

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More On Lp And L2 Spaces Part 2

Lecture with Ole Christensen. Kapitler: 00:00 - The Translation Operator; 03:00 - The Modulation Operator; 05:45 - The Dilation Operator; 10:45 - Properties Of The Three Operators; 12:45 - Proof Of Pr [...]

Date: 13/03/2013 13:45 - Duration: 0:55:36 - Views: 1554

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More On Lp And L2 Spaces Part 1

Lecture with Ole Christensen. Kapitler: 00:00 - Introduction; 05:00 - Complication With Norm On Lp Spaces; 11:30 - Dis/Advantages With Cc,Co,Lp Spaces; 20:00 - Why Not Only Use L1?; 22:00 - Cc Is Dens [...]

Date: 13/03/2013 12:45 - Duration: 0:47:59 - Views: 1411

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Lp Spaces On The Real Line part 2

Lecture with Ole Christensen. Kapitler: 00:00 - Remarks On Banach Spaces; 08:00 - Proof That Cc Is Not A Banach Space; 31:00 - Applications; 38:30 - Integral Operators;

Date: 06/03/2013 14:00 - Duration: 0:50:48 - Views: 1619

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Lecture 5 Lp Spaces on the real line

Lecture with Ole Christensen. Kapitler: 00:00 - Repetition; 05:00 - Introduction; 15:00 - Inequalities For Integrals; 26:00 - Support Of A Function; 31:30 - Special Continuous Functions; 34:15 - Examp [...]

Date: 06/03/2013 12:30 - Duration: 0:50:58 - Views: 1629

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Adjoint Operator Part 2

Lecture with Mads Jakobsen. Kapitler: 00:00 - Explanation; 01:45 - Definition 4.5.4; 12:45 - Definition Inverse Of T; 13:45 - Exercise 4.19; 20:15 - Basis; 20:45 - Recall; 24:15 - Example; 37:00 - Exa [...]

Date: 27/02/2013 14:00 - Duration: 0:54:34 - Views: 1606

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Adjoint Operator Part 1

Lecture with Mads Jakobsen. Kapitler: 00:00 - Introduction; 00:30 - Homework; 04:30 - Normed Vector Spaces; 08:30 - The Adjoint Operator; 18:30 - Theorem 4.5.1; 19:30 - Proof; 24:00 - Lema 4.4.2; 32:3 [...]

Date: 27/02/2013 13:00 - Duration: 0:43:06 - Views: 1604

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Hilbert Spaces part 2

Lecture with Ole Christensen. Kapitler: 00:00 - Def: Hilbert Space; 05:00 - New Example Of A Hilbert Space; 15:15 - Operators On Hilbert Spaces; 20:00 - Example 1; 24:00 - Example 2; 38:30 - Riesz Rep [...]

Date: 20/02/2013 13:45 - Duration: 0:55:54 - Views: 1671

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Hilbert Spaces part 1

Lecture with Ole Christensen. Kapitler: 00:00 - Repetition; 03:45 - R^n Is Banach; 07:00 - Inner Product; 14:00 - Example: C^n; 22:45 - What About <V,Aw+Bu>; 25:30 - R^2; 28:15 - Cauchy Schwarz [...]

Date: 20/02/2013 12:45 - Duration: 0:50:17 - Views: 1736

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Banach Spaces part 2

Lecture with Ole Christensen. Kapitler: 00:00 - More On L^p(N); 06:30 - Minkowski Inequality; 08:30 - Linear Operators; 13:00 - Bounded Linear Operators; 15:00 - Operator Norm; 19:45 - T:C[0,2]->C[ [...]

Date: 13/02/2013 13:45 - Duration: 0:52:20 - Views: 1681

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Banach Spaces part 1

Lecture with Ole Christensen. Kapitler: 00:00 - Banach Spaces; 06:30 - Cauchy Sequences; 12:00 - Def: Banach Space; 15:45 - Examples; 17:15 - C[A,B] Is Banach With Proof; 36:30 - Ex: Sequence Space L^ [...]

Date: 13/02/2013 12:45 - Duration: 0:48:51 - Views: 1779

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Normed Vector Spaces Part 2

Lecture with Ole Christensen. Kapitler: 00:00 - Boundedness/Supremum; 05:00 - Example; 08:00 - Maximum Value; 09:00 - Example: Sup Vs. Max; 12:45 - Theorem: Maximum Is Attained On Closed And Bounded I [...]

Date: 06/02/2013 14:00 - Duration: 0:51:36 - Views: 1823

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Normed Vector Spaces Part 1

Lecture with Ole Christensen. Kapitler: 00:00 - Introduction; 06:45 - Vector Spaces; 07:15 - Example 1; 12:00 - Mathematical Tool - Fourier Transform; 17:00 - Example 2; 20:00 - Example 3; 23:00 - New [...]

Date: 06/02/2013 13:00 - Duration: 0:51:53 - Views: 2138

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Total duration: 21:38:13