DM-3475 Synthesized
UHF Data Module
Technical Manual
Part Number: 242-3475-XXX
DM-3475 Synthesized UHF Data Module
Technical Manual
001-3475-201 January 2004
2004 by Dataradio COR Ltd.
About Dataradio
PRACTICE MIDTERM 1 - UIUC MATH 453
NICOLAS ROBLES
1. Problems that can be done up to Wed 9
Exercise 1.1. State and prove Euclids theorem on divisibility. State, but not prove, the extension
to the gen
HOMEWORK SHEET 3 SOLUTIONS - UIUC MATH 453
NICOLAS ROBLES
Exercise 0.1. Let a and b be positive integers.
(1) The cases a = 1 or b = 1 are straightforward. If a > 1 and b > 1, the desired result follo
HOMEWORK SHEET 7 - UIUC MATH 453
NICOLAS ROBLES
Exercise 0.1. Let n N. Define an arithmetic function by (1) = 1 and (n) = 2r where r is
the number of distinct prime numbers in the prime factorization
HOMEWORK SHEET 6 - UIUC MATH 453
NICOLAS ROBLES
Exercise 0.1. Determine (with a proof or a counterexample) whether each of the arithmetic
functions below is completely multiplicative, multiplicative o
HOMEWORK SHEET 4 - UIUC MATH 453
NICOLAS ROBLES
1. Warm up
Exercise 1.1. Let n be an odd integer not divisible by 3. Prove that n2 1 mod 24.
Exercise 1.2. Let a, b Z with a b mod m. If n is a positive
HOMEWORK SHEET 8 - UIUC MATH 453
NICOLAS ROBLES
Exercise 0.1. Let n N. Prove that
n
(n!) X 1
.
n!
i
i=1
Exercise 0.2. Let n1 , n2 , , nm be distinct even perfect numbers. Prove that
(n1 n2 nm ) = 2m1
HOMEWORK SHEET 5 SOLUTIONS - UIUC MATH 453
NICOLAS ROBLES
Exercise 0.1. The system is solved as follows:
2 2 1 mod 3,
3 2 = 6 1 mod 5,
5 3 = 15 1 mod 7, so
so 2x 1 mod 3
so 3x 2 mod 5
5x 4 mod 7 iff
i
HOMEWORK SHEET 10 - UIUC MATH 453
NICOLAS ROBLES
Exercise 0.1. Find the order of 3 modulo 13.
Exercise 0.2. Solve the following.
a) Let m be a positive integer and let a and b be integers relatively p
ADDITIONAL NOTES 4 - UIUC MATH 453
NICOLAS ROBLES
The essence of the theorem of Fermat (and that of Euler, since it generalizes it) is as follows.
Recall that the Euler totient function (n) is the fun
HOMEWORK SHEET 10 - UIUC MATH 453
NICOLAS ROBLES
Exercise 0.1. The answer is 3.
Exercise 0.2. As follows.
a) Let expm a = x, expm a = y and expm a = xy = z. Since (ab)xy = (ax )y (by )x 1 mod m,
we ha
INTRO TO CULTURAL ANTHROPOLOGY - MEDICAL ANTHROPOLOGY
I. Medical Anthropology
- anthropologists have realized that beliefs in illness often have both a biological and social
basis and must understand
APPENDIX B
RESEARCH PROJECT INSTRUCTIONS PLUS REFERENCING INFORMATION
General Project Instructions
The research project is worth 100 points and 13% of your final grade. It is due by 11:55 pm CDT on
Su
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313
Understanding and Measuring Circular Polarization
Bee Yen Toh, Member, IEEE, Robert Cahill, and Vincent F. Fusco, Senior Member, IEEE
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Ansoft High Frequency Structure Simulator
Tutorial
The Dipole Antenna
April 2004
Introduction
In this tutorial, a dipole antenna will be constructed and analyzed using
the HFSS simulation software by
The information contained in this document is subject to change without notice.
Ansoft makes no warranty of any kind with regard to this material, including,
but not limited to, the implied warranties
ADDITIONAL NOTES 1 - UIUC MATH 453
NICOLAS ROBLES
Here are some clarifications of the topics we discussed in class. Some of you were not entirely
familiar with the well-ordering principle which is rel
HOMEWORK SHEET 4 SOLUTIONS - UIUC MATH 453
NICOLAS ROBLES
Exercise 0.1. The solutions are as follows.
a) Since a2 b2 mod p, we have p|a2 b2 = (a + b)(a b). By Euclids lemma we have that
p|a + b or p|a
HOMEWORK SHEET 9 - UIUC MATH 453
NICOLAS ROBLES
Exercise 0.1. Find all incongruent solutions of each quadratic congruence below.
a) x2 23 mod 77. Hint: consider the congruences x2 23 mod 7 and x2 23 m
HOMEWORK SHEET 7 SOLUTIONS - UIUC MATH 453
NICOLAS ROBLES
Exercise 0.1. As follows.
a) Suppose that m and n are relatively prime positive integers. If m = 1 or n = 1 (or both),
then the proof of multi
MIDTERM 1 - UIUC MATH 453
SEPTEMBER 16TH, 2015
Name:
This is a closed-book, closed-notes exam. No electronic aids are allowed.
Read each questions carefully. Proof questions should be written out wi
HOMEWORK SHEET 3 - UIUC MATH 453
NICOLAS ROBLES
1. Warm up
These questions are not to be turned in (review of the fundamental theorem of arithmetic). It
is a valuable practice for the final.
Exercise
HOMEWORK SHEET 1 SOLUTIONS - UIUC MATH 453
NICOLAS ROBLES
Exercise 0.1. The condition is a = b. The sufficiency is straightforward. For the necessity, we
need to recall the definitions of divisibility
ADDITIONAL NOTES 3 - MATH 453
NICOLAS ROBLES
Theorem 0.1 (Inclusion-Exclusion). For any finite sets S1 , S2 , , Sk , we have
[
X
k
k
X
card
Si =
(1)j+1
card(Sl1 Sl2 Slj ),
i=1
j=1
l1 <l2 <lj
where ca
MIDTERM 3 - UIUC MATH 453
NOVEMBER 13TH, 2015
Name:
This is a closed-book, closed-notes exam. No electronic aids are allowed.
Read each question carefully. Proof questions should be written out with
HOMEWORK SHEET 2 - UIUC MATH 453
NICOLAS ROBLES
1. Warm up
The following are some warm up questions. Not to be turned in.
Exercise 1.1. Find the greatest common divisors below.
a) (21, 28)
b) (32, 56)
MIDTERM 1 - UIUC MATH 453
SEPTEMBER 16TH, 2015
Name:
This is a closed-book, closed-notes exam. No electronic aids are allowed.
Read each questions carefully. Proof questions should be written out wi
HOMEWORK SHEET 9 - UIUC MATH 453
NICOLAS ROBLES
Exercise 0.1. By the early properties of congruences and inspection (no Legendre symbol or
anything), we have that:
a) solutions are x 10, 32, 45, 67 mo