>>11574179Thank you anon for the explanation. I am not a math/physics student but I am learning both in my free time, Currently trying to perform an analysis on some numbers and I am trying to approach this thing scientifically as possible to prevent my sideproject become some numerology stuff. Anyways, I have some other questions that you might be able to shed some light on me.
I have 1500 numbers that I pulled every minute. Each minute the number can increase or decrease, and each minute a new number will be inserted into the set, and the oldest number will be removed. It is set of rational numbers. I need the sum of all these numbers, the sum can be negative. What I am trying to do now is to estimate what is the next sum that will appear on the next few minutes.
>picrelatedIs it correct if I find the time derivatives like this? referring to the image attached.
>For current "position"I just take the sum of the full 1500 numbers.
>For current "velocity", I split the numbers into 2 parts, so 1500 / 2 = 750I just do (sum of b - sum of a)/750 minutes
>For current "acceleration", 1500 / 3 = 5001) I find the "initial velocity" = (sum of b - sum of a) / 500 minutes
2) Find the "final velocity" = (sum of c - sum of b) / 500 minutes
3) Find the "acceleration" = (final velo - init velo) / 500 minutes
>For current "jerk"1) Find the "1st velo" = (sum.b - sum.a) / 375 minutes
2) Find the "2nd velo" = (sum.c - sum.b) / 375 minutes
3) Find the "3rd velo" = (sum.d - sum.c) / 375 minutes
4) Find the "1st accel" = (velo2 - velo1) / 375 minutes
5) Find the "2nd accel" = (velo3 - velo2) / 375 minutes
6) Find the "jerk" = (acel2 - acel1) / 375 minutes
Am I approaching this correctly if I want to estimate the sum in the future?