University of Beer
Final year project
Lager brewing techniques
Lager brewing techniques
Author:
John Smith
Supervisor:
Dr. Mark Brown
42 CHAPTER 6. TITLE CREATION
June 23, 2015
b
x2 dx
a
pu, vq du dv
A
My Practice L TEX Document
Wilson
July 11, 2015
Contents
1 Linear Function
1.1 Slope-Intercept Form
1.1.1 good . . . . .
1.2 Standard Form . . .
1.3 Point-Slope Form . .
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superscripts:
2x3
2x34
2x2x+4
2x3x
4 +5
subscripts:
x1
x12
x12
greek letters:
A = r2
trig functions:
y = sin x
log functions:
log5 x
ln x
square roots:
2
3
2
x2 + y 2
1+
x
fractions:
About 2 of the gl
Country List
j
j
Country Name or
Area Name
ISO ALPHA
Code
Afghanistan
AF
AFG
Aland Islands
AX
ALA
Albania
AL
ALB
Algeria
DZ
DZA
American Samoa
AS
ASM
Andorra
AD
AND
Angola
AO
AGO
jfjf
1
2
ISO ALPHA 3
STAT2601 Probability and Statistics I
Chapter 3 Probability
1
Set Language
1.1
Set Relations and Operations
1. Belong
: P;
e.g. x P A.
2. Union
: Y;
e.g. x P A Y B x P A or x P B.
3. Intersection
: X;
STAT2601 Probability and Statistics I
Chapter 2 Counting
1
Product Rule
Theorem 1.1. (Multiplication Rule)
If an operation consists of a sequence of k separate steps, each step has ni ways (where i 1,
The University of Hong Kong
Study Notes
Mathematics Notes
Last Update: July 8, 2015
Prepared by: Yip Kam Kai Wilson (3035155933)
1
1
Simple Identities
n
1.1
xk
k0
1 xn`1
1x
Proof.
an`1 xn`1 pa xqpan
The University of Hong Kong
Study Notes
Mathematics Notes
Last Update: June 3, 2015
Prepared by: Yip Kam Kai Wilson (3035155933)
[width=17.7cm]pg1
1
1
Sum of nn
n
xi = 1 + x + x2 + + xn =
i=0
1 xn+1
1
Drawing Game Trees with TikZ
Haiyun K. Chen
Department of Economics, Simon Fraser University
January 7, 2013
Abstract
Game trees, also known as extensive form games, are commonly used to represent
sit