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Molass Library Essence
1. Data Illustration
1.1. SEC-SAXS Experiments
1.2. 3D View
1.3. Elutional View
1.4. Spectral View
2. Simple Models
2.1. Gaussian Curve
2.2. Exponential-Gaussian Hybrid
2.3. Sphere Scattering
2.4. Guinier-Porod Model
2.5. UV Absorbance of Amino Acids
3. Linear Algebra Basics
3.1. Matrix Multiplication
3.2. Moore-Penrose Inverse
3.3. Linear Transformation
3.4. Noise Reduction with SVD
4. Low Rank Factorization
4.1. Relation between LRF and SVD
4.2. Notes on Solving Strategies
4.3. Assumptions in Rank Estimation
4.4. Dimension of Solution Space
4.5. Underdeterminedness of EGH Modeling
4.6. Proportional EGH Modeling
5. General Key Concepts
5.1. Central Moment
5.2. Radius of Gyration
5.3. Characteristic Function
6. SAXS Theory Basics
6.1. Fourier Transform - from Density to Scattering
6.2. Guinier Approximation
6.3. Form and Structure Factors
6.4. Interparticle Effects
6.5. Linearly Worsened Errors
6.6. Bounded Structure Factorization
7. SEC Theory Basics
7.1. Plate Theory
7.2. Stochastic Theory
7.3. Kinetic Theory
7.4. SDM-LKM Equivalence
8. References
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