📏📐 Handy math stuff
you ain't no mathematician if you never fucked up basic algebra
~ common wisdom
$\because$ Einstein:$E = MC^2$
$\therefore$ Zweistein:$2 = \log_C\left( \frac{E}{M} \right)$
I have no hesitation in recommending another excellent source:
Paul's Online Notes
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- Algebra
- Analytic Geometry
- Coordinates
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- Trigonometry
- Functions
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- Vectors
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- Sets
- Sequences
- Complex Numbers
- Statistics
- Combinatorial Analysis
- Practical Use of Math
- Extras
- Code
- Tools
- Extracting Variables
- Properties of Powers and Roots
- Properties of Logarithms
- Irrational Exponent
- Square of a Sum
- Binomial Expansion
- Pascal's Triangle
- Summation
- Factorial and Multifactorial
- Decomposition of (px+q) ÷ [(x-a)(x-b)]
- Decomposition of (px+q) ÷ (x-a)²
- Decomposition of (px+q) ÷ [(x-a)(x-b)(x-c)]
- Decomposition of (px+q) ÷ [(x-a)²(x-c)]
- Decomposition of (px+q) ÷ (x-a)³
- Finding a Line
- Distances 2D
- Point Moved Along Line
- Section Formula
- Line Intersection (with Parabola/Hyperbola/Circle/Ellipse)
- Relationships Between Two Circles
- Common Points and Area of Two Circles
- Ellipse
- Rotated Ellipse
- Conversion between 3D Coordinates Systems
- Definition of atan2
- Area of Triangle (with Given Vertices)
- Barycentric Coordinates (Checking if a Point is Within/On/Beyond a Triangle)
- Closed-Form Trigonometric Values
- Law of Sines
- Law of Cosines
- Trigonometric(Cyclometric(x))
- Trigonometric Functions
- Function in Terms of Other Function
- Reduction Identities
- Even and Odd Functions
- Trigonometric Functions with Angles Sum/Difference
- Sum and Difference of Functions
- Sum/Difference of Trigonometric Functions and 1
- Product of Functions
- Trigonometric Conversion: Sum and Product
- Multiplied Angle Identities
- Trigonometric Functions Power
- Polynomial Functions
- Simple Rational Functions
- Rational Functions
- Exponential Functions
- Logarithmic Functions
- Radical Functions
- Trigonometric Functions
- Reciprocals of Trigonometric Functions
- Cyclometric Functions (Inverse Trigonometric Functions)
- Hyperbolic Functions
- Inverse Hyperbolic Functions
- Integration by Substitution
- Substitution When There Are Multiple x's (Substitution with Inverse Function)
- Integration by Parts
- Area Between Curves
- Polynomial Functions
- Simple Rational Functions
- Rational Functions
- Exponential Functions
- Logarithmic Functions
- Radical Functions
- Trigonometric Functions
- Reciprocals of Trigonometric Functions
- Cyclometric Functions (Inverse Trigonometric Functions)
- Hyperbolic Functions
- Inverse Hyperbolic Functions
- Vector/Matrix Functions Derivative
- Vector Differential Operator (∇)
- Gradient of a Function
- Getting Function from Gradient
- The Divergence
- The Curl
- Laplacian
- Vector Laplacian
- Jacobian Matrix
- Hessian Matrix
- Operations on Matrices
- Matrix Multiplication
- Transpose of a Matrix
- Matrix Determinant
- Sarrus' Rule
- Laplace Expansion
- Inverse Matrix
- Matrix Minor
- Matrix Cofactors
- Adjoint Matrix
- Hadamard Product
- Kronecker Product
- Khatri-Rao Product
- Face Penetrating Product
- Face-Splitting Product
- Tracy-Singh Product
- Operations on Sets
- Set-Builder Notation
- Set-Builder Notation: Quantifiers
- Indexed Family of Sets
- Generalized Union and Intersection of Sets
- Properties of Generalized Unions and Intersections
- Imaginary Unit
- Forms of a Complex Number
- Operations on Complex Numbers
- Operations on Complex Numbers in Exponential Form
- Complex Number in Matrix
- Combinatorial Analysis
- Permutations and Combinations with Repetition
- Quick Examples of Permutations, Combinations and Variations
- Initializing Matrix
- Matrix Multiplication
- Matrix Determinant
- Adjugate Matrix, Cofactor Matrix and Minors
- Matrix Concatenation