Linear Approximation of Sleeping Time
I propose this mathematical module out of my
own experience. As a Physics student in UBC,
I have no social life and no entertainment, even
though my whole life is devoted to the wonderful world
of Relativity, Quantum mechanics, Linear Algebra,
Vectors and Differencial Equations (in case you don't
understand any of the terms above, here is a summery:
"Physics and Math"). Decreased sleeping time has caused
my brain to fry, and my IQ is seemingly declining as
the homework and exams get more difficult.
Here I present my module for estimation of sleeping
time.
1. The line is a negative slope (m<0); that is,
year in University N is inversely proportional to
sleeping time S
2. The equation for the best fit line of sleeping time
approximation is as as simple as follows:
S = Y (N) = -N + 6
Interpretation: in the first year of University, N=1,
student only gets 5 hours of sleep every night.
second year, N=2, 4 hours.
Question raised: What if the student stays in school for
6 years? Is he/she going to get ANY sleep at all?
To collaberate with the real-life situation, we came up the
following boundry conditions:
a. If the student left school due to any kind of circumstances
between time N=1 to N=6, (i.e: graduated, get kicked out, die.)
Sleeping time immediately -> infinite, so slope -> infinite, too.
create discountinuity in the graph.
b. Set 6th year as the maximum N. After the 6th year, sleeping time
automatically bounced back to 8 hours; hoever, unaccounted for
partying and nightlife, or marrige. Raising Child can create
another set of functions.
Behavior of the lines/Initial conditions:
Initial condition: Healthy;
u can still be alive after 4 years of college.
BAD (like me)
die or became schizophrenic after 3 years.
How about u guys?
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The Proof Is Out There.
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