Are complex number factor small i a necessity ?
Not really. The hands sway, the legs sway, the eyes sway but our ears do not sway. Our nose do not sway. Our trunk do not sway. The sway that is implied in i is not essential to understand.
So I am here propagating the importance of KAAL number 4.666. It is a competitor for e which is 2.718. . . .
First of all the complete 4.666 expressions. All the three involving 4.666 are approximate expressions.
The first and the third are fine but I hear a lot of rejections for the fourth one, which are approximate integrals. The criticism is mainly on the lower value of the integral.
I would like to defend it by saying that saturation is a nature principle. Many things saturate and stay stable.
Below is a saturation curve.
The lower value of integral is
and its curve is
You may observe that the lower value of integral has a nature approved principle of saturation. Because its curve is similar to saturation curve.
Therefore, I am sticking very deeply to KAAL number or 4.666. I believe this to be a truth of nature and to me the expressions of 4.666 are of nature.
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