This library aims to provide mathematical operations, operators and symbols, for being used in standalone mathematical operations or in more complex environments, like solving problems in diverse science fields.
TODO
TODO
This module provides the most useful mathematical symbols to be used in string representations.
Here is the list of the ones that are implemented as the variants of the enum MathSymbol:
// Basic Math Operators
Plus = 0x002B, // +
Minus = 0x2212, // -
Multiply = 0x00D7, // ×
Divide = 0x00F7, // ÷
// General
Implies = 0x21D2, // ⇒
NotImplies = 0x21CF, // ⇏
IfAndOnlyIf = 0x21CF, // ⇔
Increment = 0x2206, // ∆
// Relation
Equals = 0x003D, // =
NotEquals = 0x2260, // ≠
AlmostEqualsTo = 0x2248, // ≈
PlusMinus = 0x00B1, // ±
LessThan = 0x003C, // <
GreaterThan = 0x003E, // >
LessThanOrEqual = 0x2264, // ≤
GreaterThanOrEqual = 0x2265, // ≥
ProportionalTo = 0x221D, // ∝
ApproximatelyEqual = 0x2248, // ≈
// Geometry
Parallel = 0x2225, // ∥
NotParallel = 0x2226, // ∦
// Root Symbols
SquareRoot = 0x221A, // √
CubeRoot = 0x221B, // ∛
FourthRoot = 0x221C, // ∜
// Summation and Integral
Summation = 0x2211, // ∑
Integral = 0x222B, // ∫
DoubleIntegral = 0x222C, // ∬
TripleIntegral = 0x222D, // ∭
ContourIntegral = 0x222E, // ∮
SurfaceIntegral = 0x222F, // ∯
VolumeIntegral = 0x2230, // ∰
// Miscellaneous
Tilde = 0x223C, // ∼
RingOperator = 0x2218, // ∘
SineWave = 0x223F, // ∿
// Number Sets
NaturalNumbers = 0x2115, // ℕ
Integers = 0x2124, // ℤ
Rationals = 0x211A, // ℚ
Reals = 0x211D, // ℝ
ComplexNumbers = 0x2102, // ℂ
// Set Notation
OpenCurlyBrace2 = 0x007B, // {
CloseCurlyBrace2 = 0x007D, // }
Exists = 0x2203, // ∃ (Exists)
ForAll = 0x2200, // ∀ (For All)
ElementOf = 0x2208, // ∈
NotElementOf = 0x2209, // ∉
ContainsAsMember = 0x220B, // ∋ (As member)
NotContainsAsMember = 0x220C, // ∌ (As member)
Subset = 0x2282, // ⊂
SubsetOrEqualTo = 0x2286, // ⊆
NotASubset = 0x2284, // ⊄
Superset = 0x2285, // ⊃
SupersetOrEqualTo = 0x2287, // ⊇
NotASuperset = 0x2285, // ⊅
EmptySet = 0x2205, // ∅
Therefore = 0x2234, // ∴
Because = 0x2235, // ∵
Intersection = 0x2229, // ∩
Union = 0x222A, // ∪
SuchThat = 0x2223, // ∣
DivisionSlash = 0x2044, // ⁄ (Division Slash)
OpenSquareBrace = 0x005B, // [
CloseSquareBrace = 0x005D, // ]
// Logical Operators
LogicalAnd = 0x2227, // ∧
LogicalOr = 0x2228, // ∨
LogicalNot = 0x00AC, // ¬
// Infinity and Special Symbols
Infinity = 0x221E, // ∞
MinusInfinity = 0x2212, // -∞
// Aleph and Parentheses
Aleph = 0x2135, // ℵ
OpenParenthesis = 0x0028, // (
CloseParenthesis = 0x0029, // )
// Superscript and Subscript
SuperscriptN = 0x207F, // ⁿ (Superscript n)
Superscript1 = 0x00B9, // ¹ (Superscript 1)
Superscript2 = 0x00B2, // ² (Superscript 2)
Superscript3 = 0x00B3, // ³ (Superscript 3)
SuperscriptPlus = 0x207A, // ⁺ (Superscript Plus)
SuperscriptMinus = 0x207B, // ⁻ (Superscript Minus)
Subscript1 = 0x2081, // ₁ (Subscript 1)
Subscript2 = 0x2082, // ₂ (Subscript 2)
Subscript3 = 0x2083, // ₃ (Subscript 3)
// Derivative Symbols
Derivative = 0x2146, // ⅆ (Derivative of)
PartialDerivative = 0x2202, // ∂ (Partial Derivative)
Nabla = 0x2207, // ∇ (Nabla)
DelSquared = 0x2207, // ∇² (Del Squared)
VectorDiv = 0x2207, // ∇ · (Divergence)
Laplace = 0x2207, // ∇² (Laplace Operator)
// Vector Symbols
VectorArrow = 0x2192, // → (Vector Arrow)
CrossProduct = 0x00D7, // × (Cross Product)
DotProduct = 0x22C5, // ⋅ (Dot Product)
// Matrices Symbols // TODO complete
Matrix = 0x23A0, // ⎠ (Matrix)
MatrixTranspose = 0x22A4, // ⊤ (Matrix Transpose)
MatrixHermitian = 0x22B2, // ⊲ (Matrix Hermitian)
// Degree and Greek Letters
Degree = 0x00B0, // °
Pi = 0x03C0, // π
Sigma = 0x03A3, // Σ
Delta = 0x2206, // ∆
Alpha = 0x03B1, // α
Beta = 0x03B2, // β
Gamma = 0x03B3, // γ
Epsilon = 0x03B5, // ε
Zeta = 0x03B6, // ζ
Eta = 0x03B7, // η
Mu = 0x03BC, // μ
Nu = 0x03BD, // ν
Xi = 0x039E, // Ξ
Rho = 0x03C1, // ρ
Tau = 0x03C4, // τ
Phi = 0x03A6, // Φ
Psi = 0x03A8, // Ψ
Omega = 0x03A9, // ΩPlease, everytime that a new symbol is added to the enumerated type, remember to add it to this documentation for having the complete reference of the symbols implemented in the library.