More on Sentics

As you have probably read in the Clynes paper, the author claims that there are typical time forms that represent human emotions. The paper does not contain any images of these mysterious shapes, so I thought to provide them here



The paper does give some mathematical equations that describe these shapes in terms of so-called Laplace transform. For Matlab users, here is a short explanation how these shapes are related to these equations:

(In order to run the following, you need the symbolic toolbox):
Lets assume we want to plot the function 2*s/(1+2*s)^3.
Type the following in Matlab command

syms F s
F = 2*s/(1+2*s)^3;
f = ilaplace(F);


What you get is analytical solution of the form
-1/16*t^2*exp(-1/2*t)+1/4*t*exp(-1/2*t)

Let us take now 100 samples of t and plot

t = 1:100;
plot(-1/16*t^2*exp(-1/2*t)+1/4*t*exp(-1/2*t))

You get a shape that roughly resembles one of the curves.

What are the exact parameters? How can they be estimated from a time form? What are the applications of these forms and how can they be captured?
We welcome discussion on that....