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Determinant and Hyper Volume

 04-01-2024 04-01-2024 blog 21 minutes read (About 3100 words)
The Existence and the Uniqueness of Determinant and Its Relationship with Hyper Volume

 
Mathematics, 
Linear Algebra, 
Geometry, 
Calculus, 
Determinant  
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Matrix Block Diagonalization Theorem

 10-30-2023 10-30-2023 blog 10 minutes read (About 1450 words)
Geometry of $n \times n$ Matrices with Complex Eigenvalues

 
Mathematics, 
Linear Algebra, 
Geometry  
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Matrix Rotation-Scaling Theorem

 10-23-2023 10-23-2023 blog 10 minutes read (About 1439 words)
Geometry of $2 \times 2$ Matrices with a Non-Real Complex Eigenvalue

 
Mathematics, 
Linear Algebra, 
Geometry  
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Matrix Diagonalization Theorem

 09-01-2023 10-10-2023 blog 14 minutes read (About 2068 words)
A Matrix Similar to a Diagonal Matrix

 
Mathematics, 
Linear Algebra, 
Geometry  
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Matrix Similarity

 08-20-2023 10-10-2023 blog 13 minutes read (About 1881 words)
Understand Why Matrices are Similar

 
Mathematics, 
Linear Algebra, 
Geometry  
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Rotation and Translation of Axes

 08-14-2023 08-14-2023 blog 10 minutes read (About 1472 words)
Coordinate System Transformation

 
Mathematics, 
Geometry  
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Unit Quaternion 3D Rotation Representation

 04-24-2022 04-24-2022 blog 13 minutes read (About 1979 words)
Derivation of Unit Quaternion 3D Rotation Representation

 
Mathematics, 
Geometry, 
Computer Graphics  
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Axis/Angle 3D Rotation Representation

 02-28-2022 02-28-2022 blog 16 minutes read (About 2358 words)
Derivation of Axis/Angle 3D Rotation Representation

 
Mathematics, 
Geometry, 
Computer Graphics  
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2D Plane Transformation

 12-06-2021 03-01-2023 blog 15 minutes read (About 2311 words)
Common 2D Plane Transformation Mathematics and Properties

 
Mathematics, 
Geometry  
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Geometry for Computing Dihedral Angles

 03-15-2021 10-19-2021 blog 12 minutes read (About 1801 words)
Computing Dihedral Angles Using Cartesian Coordinates

 
Mathematics, 
Geometry, 
Dihedral Angle  
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Lei Mao

Lei Mao

Artificial Intelligence Machine Learning Computer Science

Santa Clara, California

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