This semester, I learned about using numerical software to perform a tedious calculation or analysis. This unit started with the expansion of Taylor's Series, later on, the development of the unit is surrounding this formulation (Taylor's Series):
where h = step size, n = number of terms, R = remainder terms
For simplicity, in most calculation, we just consider the first two terms of the formulation, while the remaining terms we considered as Error terms (hereby denote as E). As sometimes, the value of E does not bring any significant for the final results, and negligible.
f(xi+1) = f(xi) + f'(xi)*h + f''(xi)*(h^2)/2! + ... + f^n(xi)*(h^n)/n! + Rn+1
where h = step size, n = number of terms, R = remainder terms
For simplicity, in most calculation, we just consider the first two terms of the formulation, while the remaining terms we considered as Error terms (hereby denote as E). As sometimes, the value of E does not bring any significant for the final results, and negligible.
f(xi+1) = f(xi) + f'(xi)*h + E(xi)
***
Alright, let's do some modification towards my Equation...
L = K * (t/s^2)
After some severe debates, discussions, and considerations, assumptions have been made, I would like to improve the equation above, as below:
L = K * (t/s^2) + E(t)
The additional of error term into the equation, is to prove the validity of L, to prove that the changes of L, other than time(t) and space(s), the error term (which can be the Environment) also one of the factors.
Well, people do change along with time, within the same space, the atmosphere of the environment is keep changing, either to good, or to bad. Everyday... there are changes, is just either we do observe it, or not? And either we accept it, or not?
Same goes to L, there's no promise of its immortality. But what the best we can do, move along with the environment, and we can promise for the better changes.
Disclaimer: Please do not take the equations above too seriously...
p/s: "Romance of two J_Wongs" continues... (To be continued)

1 comment:
Damn technical wei... =P
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