MATH 115A SOLUTION SET III JANUARY 27, 2005 (1) Use Fermat's Little Theorem to verify that 17 divides 11104 + 1. Solution: Working modulo 17, we have that 11104 (112 )52 252
5 10
(mod 17) (mod 17) (mod 17)
(mod 17)
10
(2 ) 22 (-2) 4 44
(mod 17)
16 (mod

Practice Sheet 2
1. Find an integer that leaves a remainder of one when divided by either 2 or 5 but that is divisible by 3.
Using the fact that the congruences
x a ( mod n )
and
x b ( mod m ) admit a simultaneous
solution iff gcd ( n , m )( ab) , find ou

All Quiz Questions
1. Find the remainder using modular exponentiation when 31001 is divided
by 17
2. Decide whether 250 and 4165 belong to same residue class modulo 7 or not
3. Define order of an integer and find order of 5 modulo 19
4. Give that how many

Math 116 Number Theory
with Travis Kelm
Homework #2
Divisibility and Primes
Spring 2007
CSU - Fresno
Solutions
In your solutions you must explain what you are doing using complete sentences.
Section 1.5
Exercise 8: Are there integers a, b, and c = 0 such

HTTP Secure
Secure Shell
Internet Security Protocols
Internet Security
The Web is not the Internet. The Web runs on top of
the Internet, in a sense. The Web is the collection of
HTTP servers that hold and process web sites we see.
The Internet is the coll

Understanding Enterprise
Network Architecture
Enterprise Network Architecture
Perimeter Router
Web Server
Intranet Router
FW DMZ
FW
FW
Core Switch
Email GW
Access Switch
IPS
FW/IPS
DC Switch
Application Server
DB Server
Workstations
File Server
Perimeter

Problem 1:
In the three-phase converter of Figure 1, VLL=460V at 60 Hz and Ls= 25uH.
Figure 1.
1. Calculate the commutation angle u if Vd=525V and Pd =500kW.
2. After you calculate commutation angel, calculate Vd for the same load, VLL and
frequency, assu