walking to mech solids class.

every MWF morning, i wake up at 9. go straight to the shower, get dressed, and head out by 9:20 or 9:30. it's a 10 minute commute even though i only live like a mile or two away, stupid pedestrians and stoplights and stop signs. i park the car, usually at the 6th street lot, and then walk to hoboken bagels to get breakfast. then i walk back to class.

today, as i was walking back to class, two thoughts came to my mind. (the second one's the focus of this whole thing, so you can skip to that one if you want.)

1. i passed by a parked Lexus LX570. you know, the new 2009/2010 ones. and damn, it was b-e-a-UTIFUL. idk, toyolex did a good job with the Land Cruiser/LX570. i still don't see why someone would pick the LX over the LC, because the they're exactly the same, even in opulence. yet the LX costs like 10-15k more than the LC? no sense to me. and if i was EVER caught driving a toyolex (besides the Highlander and Sequoia my dad had), i woud wanna get caught driving an LX or LC. those are the only two in either of their lineups that are really worth it. cus the other cars are crap. hahaha

2. okay the important one. whoever reads this probably knows me well, and they know i love math. a couple of days ago, i made a new blog on tumblr just so i could see the different customization possibilities and shit. and so i had to make a title for the blog, and a description. so i named it 'the modulus of happiness.' and the description said 'happiness is proportional to life through its modulus.' well, that description is sort of off. i think it should've been that fulfillment is directly proportional to life through the modulus of success.

lost already? hear me out.

let's denote fulfillment with the letter F, life = L, and modulus of success = S.

so F is proportional to L directly, and F=SL.

so what if we graph this? we get a line of slope S. if we analyze this graph we can analyze it directly, analyze its derivative, and analyze its integral. so let's go in order, and analyze the integral.

i guess here, the equation doesnt make sense ( int(F) = SL^2 ). but integrals are the area under the graph. so if we look back at how we worded this (that fulfillment is life times modulus of success), we get this statement:

the integral of the function is where you've been before and how much you've already acheived.

so the greater the area under the curve, the higher amount of material, physical, and mental satisfaction you've achieved over the years. what determines how much satisfaction you've had? the modulus of success, S. the higher the number, the more you've achieved in the past.

i guess since we're talking about the modulus already, let's look at the derivative of F: F' = S. this means that your modulus of success determines how far you're gonna go. i know this is a really rough simile, because S could be very well a variable. but for simplicity's sake, let's say it's a constant. S is determined by your happiness in your life, as well as what you're doing in terms of career path and in terms of religion and other spiritual aspects. as such, it is a very abstract concept, but i guess you could say you can rate your success on a numerical scale. so the higher this 'constant' S, the higher amount of satisfaction you have. the higher the slope of your 'graph of life', your fulfillment graph.

and then obviously, the graph of F itself signifies where you are now. determined by the dependent variable Life (i guess in terms of time). how fulfilled you are depends on how long you've lived (assuming you wanna base life in terms of time) and your modulus of success.

this is really a rough sketch of a simile for life, because not everyone's lives are linear. but we can say they're polynomials, because there will always be ups and downs but in the end, you either go up (polynomial of odd degree) or down (polynomial of even degree).

oh, the things i think of as i walk to the Stevens building for mech solids class.