Ying Qi
1217533
The Commonwealth of Australia
Liberal Party
Australia Labour Party
National Party
High Court of Australia
Attorney-Generals Department
Department of Agriculture and Water
Resources
Department
COMPLEX ANALYSIS III
MELISSA TACY
We would now like to build up some classes of holomorphic functions (after all a class of functions with no or very few
members is unlikely to be that interesting or useful). We already know that f (z) = z m is holomorphi
COMPLEX ANALYSIS III
MELISSA TACY
Abstract. These notes follow Complex Analysis III as taught in Semester 1 2015 at the University of Adelaide. They
are loosely based on the text Complex Analysis by Stein and Shakarchi. My thanks to Michael Hallam for his
1
2
a) ( x 4 ) + y 2 x 2 + y 2
8 x + 16 0
x2
d) z + z 2
x + iy + x iy 2
x 1
All are unbounded.
A closed
B open
C not open, not closed
D closed
2
ecz 1 1 1 0
=
= we can use the L'Hpital's rule for limits:
z
0
0
ecz 1)
(
ecz 1
lim z 0 f ( z ) = lim z 0
= li
Markov Melody Generator
Simone Hill
e-mail address <[email protected]>
ABSTRACT
In this paper, an application called the Markov Melody
Generator is designed for algorithmic music composition is
demonstrated. The theory behind using human
composi
ALGORITHMIC MUSIC:
USING MATHEMATICAL MODELS
IN MUSIC COMPOSITION
by GUSTAVO DIAZ-JEREZ
Submitted to
The Manhattan School of Music
in partial fulfillment of the requirements
for the degree of
Doctor of Musical Arts
and approved by
August 2000
ABSTRACT OF
Stat 110 Final Review, Fall 2011
Prof. Joe Blitzstein
1
General Information
The nal will be on Thursday 12/15, from 2 PM to 5 PM. No books, notes, computers,
cell phones, or calculators are allowed, except that you may bring four pages of
standard-sized p