The 3rd Derivative and Beyond



The 3rd Derivative and Beyond:

Formal Expression for Control: Position and its Three Derivatives
Science depends on providing formulations for describing otherwise elusive concepts. Recall the paradox of Zeno which pictured a race in which Achilles was to overtake the tortoise, who had a head start. Achilles could never pass the tortoise since he would first have to get to where the tortoise was, by which time the tortoise would have moved on, and so on. Silly, but without a formal expression for velocity, which would permit a comparison of rates rather than of positions, the problem remained baffling.

Newton provided the necessary formal expression in the calculus, where he defined velocity as the rate of change of position with respect to time, and acceleration as the rate of change of velocity with respect to time.

Velocity is known as the first derivative (of position), acceleration as the second derivative. These two expressions laid the basis for the theory of gravitation.

While Newton mentioned a third derivative, he made no attempt to give it a physical meaning. What is it? Since each derivative is the rate of change of the quantity derived (i.e., velocity is the rate of change of position, acceleration the rate of change of velocity), we may conclude that the third derivative is the rate of change of acceleration.


For The 3rd Law Of Economic Alchemy:

https://whoisabishag.blogspot.com/2017/11/the-third-law-of-economic-alchemy.html     There Are Several Ways To Increase Data / Information #ThroughPut: "Better Story Telling Is My Favorite"!", Higher Concepts Contain More Info, The Semantic etc Knowledge Contained In The Meaning Of An Individual Letter ( http://meru.org/Lettermaps/mirrorsymm.html#title ), Tracking Word Roots Across Languages ( https://www.linkedin.com/feed/update/urn:li:activity:6332720955785388032 ), Eliciting / Inducing The 5th - 12th Derivatives Of "The Middle Pillar" ( https://www.linkedin.com/feed/update/urn:li:activity:6332734258247008256/ ...




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