Verse and Dimensions Wikia
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Verse and Dimensions Wikia


Arithmetic
Hypercomplex components
Polynomials, Rationals, Exponentials, and Logarithms
Trigonometric functions and inverses
Hyperbolic functions and inverses
Sinc analogues
Logistic functions, Gudermannian, and inverses
Algebraic curves
Bessel-type functions
Integer functions
Factorials and binomial coefficient
Productlogarithms, hyperoperators, and relatives
Physical functions
Lp trigonometric functions
Exponential integral and relatives
Elliptic integrals and relatives
Gamma functions and relatives
Error functions and relatives
Zeta functions, Polylogarithms, and relatives
Modular forms and relatives

Functions of a hypercomplex variable

Constant zero function

Constant one function

Identity function

Arithmetic

Addition

  • Complex addition (complex map / 3D plot / [ sliders] / domain colouring / contour plot)
    • forms an abelian group with identity element
    • is elementary
    • is complex analytic
    • has a simple zero at
    • has a simple pole at
    • is conformal
    • is entire
  • Dual addition ([ dual map] / [ 3D plot] / [ sliders])
  • Split-complex addition ([ split-complex map] / [ 3D plot] / [ sliders])
  • Quaternionic addition ([ vectors] / [ sliders] / [ 3D rotations])
  • Octonionic addition ([ vectors] / [ sliders])

Multiplication

Negation

Reciprocal

Subtraction

Division

References

Graphs

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