ISYE 2028 A and B
Notation and Prerequisites
Dr. Kobi Abayomi
January 8, 2009
1 Introduction
Just a brief review of some notation you should know and some short questions.
We often use roman letters
{
X,Y,x,y.
..
}
for things we hope to measure or model; greek
letters
{
α,β,θ
}
for quantities we’ll infer from directly measured quantities.
2 Summation Notation
We work with indexed vectors alot, like:
X
= (
X
1
,X
2
,...,X
n
)
or
x
= (
x
1
,x
2
,...,x
n
)
or any
stuff
= (
stuff
1
,stuff
2
,...,stuff
n
)
n
X
i
=1
stuff
i
=
stuff
1
+
stuff
2
+
···
+
stuff
n
1
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View Full Documentis translated as: Start with
stuff
1
and add it to
stuff
2
and keep on adding until
stuff
n
.
The
stuff
to do (
n
times) can be as simple to do as taking a bunch of numbers
{
x
1
,x
2
,...x
3
}
and dividing it by the total number, i.e.
n
X
i
=1
x
i
n
=
1
n
n
X
i
=1
x
i
=
x
1
+
x
2
+
···
+
x
n
n
or something more complicated, like taking each of those numbers, subtracting some other
number, squaring the result, and dividing that by
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 Spring '07
 SHIM
 Derivative, Taylor Series, λ, Dr. Kobi Abayomi, stuf fn

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