Gaussian Expression

Consider you are presented axis -∞, +∞, where inverse integral for a series of trigonometric functions: cos(x), tan(x), or sin(x) which delimit asymptotes -1 to 1 on the vertical axis. To survey this, we maintain a methodology for the statistical probabilities in the analysis of a curve. For a cartographer, petroleum engineer, mining specialist … etc. the categories should serve in terminological ways.

Below, a genealogy of types, three categories of trigonometric functions, their inverse are accumulations of a triangle in which diagonal’s fractional ratio to the sides contain the variable.

Note the inverse’s transformation, asymptotic on a -1 >—————< +1 boundary.

To survey incline/slope in Weierstrass transformation, concatenating image, signal, and eigenvectors prior to reconstruction.

Factor a Gaussian expression where parabolic expression, or the inverse’s preliminary function.

f(x)=ae – ((x-b)^2/2c^2)

a = height of the curve’s peak
e = Euler’s number
b = position of the center of the curve
c = the standard deviation

1:Euler’s constant: the limit of (1+1/n)^n approaching +∞

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