Saturday, September 17, 2011

Relationships Explained - Mathematically

"Measure what is measurable, and make measurable what is not so" - Galileo 

Meters, seconds, kilograms, feet, pounds, and love. How can you measure emotions? The bonds that develop between two people, loyalty, hatred and many other mathematically meaningless words stump scientists everyday, but ponder no more! Today scientists are closer then ever to unraveling the secrets of human emotions  in the hopes that one day robots will understand love by translating it into their very own cold logic!

Can't believe they haven't put that on a postcard yet...

In the above equation you see that the strength of any relationship "S" is approximately related to the sum of each individual interaction. Each interaction is described by an amount of time "t" and the vector Q for quality. The ((quality) (time)) measurement made in the numerator is then divided by the value of the distance vector d. The quality vector is comprised of three components (Intentions, Execution, Originality) which together form an orthonormal basis set. The distance vector is likewise a basis set but with a complex component with taking a geographical component and an imaginary emotional component together. 

Quality Vector

Distance Vector

The distance vector d is comprised of two components the physical or geographical component which measures the actual distance and the imaginary component which is the perceived or "emotional distance". The emotional distance can be expressed as a difference between an expected value derived from the overall quality vector, and the value of the quality vector itself.

Emotional Component of distance is the difference between expected quality and actual quality squared


The expected quality Q in the emotional component of the distance vector is the average value of Q in all previous iterations multiplied by the difference squared of the highest and lowest quality values.



Should have ordered out

Putting this all together it's easy for the reader to obviously see why though they had good intentions (positive axis) the originality and burning down the house did not go well for the above interaction. The poor execution left such a bad impression it will likely drag the overall expected quality down for future iterations. 

But now we can KNOW!