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

Logistic functions, Gudermannian, and inverses

Sigmoid function

Logistic functions

  • Complex logistics (complex map / 3D plot)
  • Dual logistics ([ dual map] / [ 3D plot])
  • Split-complex logistics ([ split-complex map] / [ 3D plot])
  • Quaternionic logistics ([ vectors] / [ sliders] / [ 3D rotations])
  • Octonionic logicstics ([ vectors] / [ sliders])

Gudermannian

  • Complex Gudermannian (complex map of principal branch / 3D plot of principal branch / Riemann surface)
    • is elementary
    • is analytic on any open set on its domain
    • is conformal
  • Dual Gudermannian ([ dual map] / [ 3D plot])
  • Split-complex Gudermannian ([ split-complex map] / [ 3D plot])
  • Quaternionic Gudermannian ([ vectors] / [ sliders] / [ 3D rotations])
  • Octonionic Gudermannian ([ vectors] / [ sliders])

Logit

Inverse Gudermannian

  • Complex inverse Gudermannian (complex map of principal branch / 3D plot of principal branch / Riemann surface)
    • is elementary
    • is analytic on any open set on its domain
    • is conformal
  • Dual inverse Gudermannian ([ dual map] / [ 3D plot])
  • Split-complex inverse Gudermannian ([ split-complex map] / [ 3D plot])
  • Quaternionic inverse Gudermannian ([ vectors] / [ sliders] / [ 3D rotations])
    • is extremely multivalued for elements of
  • Octonionic inverse Gudermannian ([ vectors] / [ sliders])
    • is extremely multivalued for elements of

References

Graphs

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