diff --git a/README.md b/README.md index fbd8aec..79af78a 100644 --- a/README.md +++ b/README.md @@ -169,28 +169,30 @@ ### Preset's grids

- +

#### Examples of Sigmoid-like Functions `a∈{0;1;2;3;4;5;6;7;8;9;10;11;12;13;14;15;16;17;18;19;20;21;22;23;24}` -`STEP=100/24` +`S=100/24` - Steps -`𝝅` = number Pi +`𝝅` - number Pi -`Q=2` +`Q=2` - Ratio -`Smoothstep` <=> `x=a(STEP)100` & `y=3x^2-2x^3` +`Cosine` <=> `x=a(S)100` & `y=(1-COS((x-1)*𝝅))/2` -`Smoothstep*Q` <=> `x=a(STEP)100` & ( when `x∈<0;0.5>` , `y=Q(3x^2-2x^3)` ∨ when `x∈(0.5;1>` , `y=2-Q(3x^2-2x^3` ) +`Smoothstep` <=> `x=a(S)100` & `y=3x^2-2x^3` -`Smoothstep\Q` <=> ( when `a<=12` , `x=a(STEP/Q)100` ∨ when `12 `x=a(S)100` & ( when `x∈<0;0.5>` , `y=Q(3x^2-2x^3)` ∨ when `x∈(0.5;1>` , `y=2-Q(3x^2-2x^3` ) -`Cubic_Hermite` <=> `x=a(STEP)100` & `y=(x^3-2*x^2+x)*STEP+(-2*x^3+3*x^2)*(x^3-x^2)*STEP` +`Smoothstep\Q` <=> ( when `a<=12` , `x=a(S/Q)100` ∨ when `12 `x=a(STEP)100` & `y=(1-COS((x-1)*𝝅))/2` +`True_Cubic_Hermite` <=> `x=a(S)100` & `y=(2*x₁^3-3*x₁^2+1)*(x₁-xₙ₋₁)+(x₁^3-2*x₁^2+x₁)*S+(-2*x₁^3+3*x₁^2)*(x₁^3-x₁^2)*S` + +`Fake_Cubic_Hermite` <=> `x=a(S)100` & `y=(x^3-2*x^2+x)*S+(-2*x^3+3*x^2)*(x^3-x^2)*S` ## Special Thanks