# Outline

- Basics of rotational motion.
- Rotational vs linear motion.
- Angular position.
- Angular velocity.
- Angular acceleration.
- $α$ and $ω$ are vectors while $θ$ is not.
- Kinematic equations are similar.
- Relating the linear and angular variables.

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- 3D Rendering
- Absolute Value Function
- Actions create motivation
- Adjugate of a matrix
- Algebraic Multiplicity of an Eigenvalue
- Arrays indices are just syntactic sugar for pointers
- Barycentric Coordinates
- Bases of Subspaces
- Books
- Calculating determinant of triangular matrices
- Calculating L(x) of vectors in the Span
- Calculating powers of matrices using similar matrices
- Center of Mass
- Cofactors of a matrix
- Column Space
- Complex Motion
- Composition of Linear Transformations
- CPP
- Degree of the characteristic polynomial is same as n
- Determinant as a product of eigenvalues raised to their algebraic multiplicity
- Determinant of a 2x2 matrix
- Determinant of an NxN matrix
- Diagonal matrices and their properties
- Diagonalization Theorem and related theorems
- Different people see different things
- Dimensions of a subspace
- Each vector in the basis set for Rn, needs to be n-components tall
- Eigenspaces
- Eigenspaces are subspaces of Rn or Cn
- Eigenvalues and Eigenvectors
- Equality and Operations on Linear Transformations
- Equality of Span Sets
- Every vector in a subspace can be represented as a "unique" linear combination of the bases vectors
- Everything I learnt while building Tinyrenderer
- EVM
- Finding bases for a matrix's subspaces
- Finding coefficients to express a vector as a linear combination of the basis vectors
- Finding Eigenvalues and Eigenvectors
- Geometric multiplicity is always less than or equal to the algebraic multiplicity of an eigenvalue
- Geometric Multiplicity of an Eigenvalue
- Good ideas require boredom because that's when the brain flexes it's "idea muscles"
- How are gravity, weight and normal force related
- How do matrices represent systems of equations?
- How do row and column operations affect the determinant
- How does existence of pivots affect the solution set
- How is linear dependence related to rank
- How is linear dependence related to span
- How Span relates to Consistency of Matrix-Vector Product
- How to check consistency of matrix-vector product by carrying it to REF
- How to cut down on Span Set elements
- How to pour water, without making a mess
- How to represent linear systems as matrix-vector equations
- Implementing UART on iCESugar FPGAs
- Invertibility and Determinant
- Invertibility of Linear Transformations
- Keccak-256
- Kernel of a linear transformation
- Knowledge Work
- Linear Transformations
- Making Semiconductors more Conductive by introducing Partially Filled States
- Matrices Equal Theorem
- Matrix Diagonalization
- Matrix Inverses
- Matrix Multiplication
- Matrix Similarity
- Matrix-Vector Product
- Matrix-vector products as functions
- Methods of doping
- Newton's First Law of Motion
- Newton's Second Law of Motion
- Newton's Third Law of Motion
- Null Space
- Orthogonal Basis
- Orthogonal Sets
- Orthogonal sets without zero vector are linearly independent
- Pivots, Row Echelon Form and Reduced REF
- Plasma
- PN Junctions
- Polynomial Vector Spaces
- Projections of Vectors
- Properties of Determinants
- Quick trick for finding eigenvalues of 2x2 matrices
- Range of a linear transformation
- Relationship between A, P and D of a diagonalizable matrix
- Row operations do not affect dependence between columns of a matrix
- Row operations do not change the row space
- Row Space
- Scaler Equation of a Plane
- Semiconductors
- Shortest Distance from a Point to a Line
- Shortest Distance from a point to a plane
- Solving systems of equations using row operations
- Span and Spanning Sets
- Span of vectors in Rn, is a subspace of Rn
- Steps to solve an inequality
- Subspace Test
- System-Rank Theorem
- The Cofactor Matrix
- The computer figures out how many bytes to jump in pointer arithmetic
- The Identity Operator or Transformation
- The Physics of Electrical Conduction
- The set of bases of all the eigenspaces is linearly independent
- The Work-Energy Theorem
- Theorem 29.1 - dimensions and rank of a matrix's subspace
- Theorem 32.1 - Properties of Matrix Transformations
- Theorem 32.2 - every linear transformation has a corresponding matrix transformation
- Theorems about bases of subspaces
- Theorems and Proofs related to Inverse Matrices
- Tidal Energy
- Trace of a Matrix
- Tricks for calculating center of mass
- Upper and Lower Triangular Matrices
- Vector Equation of a Plane
- Vector Space of linear transformations
- Vectors
- What are Elementary Row Operations
- What are friction's dependencies
- What are Inertial Reference Frames
- What are Linear Dependence and Independence
- What are subspaces
- What are the possible solutions to systems of linear equations
- What are vector spaces
- What causes inconsistent systems
- What does a determinant measure
- What does a vector solution to a system of linear equations represent
- What does Linear Dependence (or independence) even mean
- What does the sign of work indicate
- What is Energy
- What is friction
- What is Kinetic Energy
- What is Mass
- What is the rank of a matrix
- What is the Tension Force
- What is Work and how is it related to Kinetic Energy
- Whatever you pay attention to is being fermented by your brain
- Why do we care about Eigenvectors and Eigenvalues
- Why static friction is a reactionary force and kinetic friction is not
- You need n vectors in the basis set of Rn

- All the data the EVM emits in Events
- Being different beats being better.
- Blockchain irreversibility is a feature not a bug
- Good people speak in specifics
- GPT is Photoshop for Text
- How smart contracts can be upgraded
- How to get new ideas
- Is Taste Subjective?
- Law and Culture are Intertwined
- Meetings Affect Programmers more; Makers vs Manager Schedule
- Notes on Solidity
- Programming is a skill, not a piece of knowledge.
- Reality has a surprising amount of detail
- Social vs Science Experiments
- Taste Driven Career
- The Art of Fermenting Great Ideas
- Tidal Barrages
- Tidal Turbines (underwater turbines)
- What AI can't write.
- Work life balance is impossible
- Writing well
- You don't know what you don't know

Oct 30, 2023

- Basics of rotational motion.
- Rotational vs linear motion.
- Angular position.
- Angular velocity.
- Angular acceleration.
- $α$ and $ω$ are vectors while $θ$ is not.
- Kinematic equations are similar.
- Relating the linear and angular variables.

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