Wednesday, March 30, 2005

A Con

Simple Random Walk

How would you decipher the above three words?

Before that, interpretations from Oxford Advanced Learning’s Dictionary:
Simple – easily done or understood; not causing difficulty

Random – done, chosen, etc without method or conscious choice

Walk 1 – (of a person) to move along at a slow or moderate pace by lifting up and putting down each foot in turn

Walk 2 – a journey on foot, esp for pleasure or exercise

Combined: a journey on foot for pleasure which was done easily and without conscious

#1 Words uttered by macho travelers who leaved their foot steps everywhere around the world?

#2 Words uttered by elderly who love to stroll in a park?

#3 Words uttered by couples who walk romantically hand in hand on the streets at the middle of the night/in the rain?

NO for #1.

NO again for #2.

And, NO AGAIN for #3.

Then? What in the earth is it?

For your information, it’s a MATHEMATICAL TERM in StOchAstic Processes in Engineering MAths *SUrpRise*

Explanation: Let Xn be a random variable denoting the position at time n of a moving particle (n=0,1,2,3,…). The particle will move around the integer {…,-2,-1,0,1,2,…}. For every single point of the time, there is a jump of one step for the particle with probability 1/2 (a jump could be upwards or downwards). Those jumps at time n=1,2,3,… are being independent. This process is called Simple Random Walk.
(Source: Engineering Maths IV Chap3 Notes Pg 65 of 106, MMU 04/05 Session, Trimester 3)

P/s: Posting this out of boredom for the 106 pages of notes, which seems like I’m never gonna finish studying until eternity. Just trying to trigger your brain cells *devil evil grin, blekkk*

2 comments:

h a n N i said...

random variables... um... @-)

*gulp*

*burppppp*

that's all i understand

Florinna said...

hahahhaa...i oso forgot what it's all about d, it's been a long long time :p