ADVANCED ENGINEERING MATH W/ACCESS
10th Edition
ISBN: 9781119096023
Author: Kreyszig
Publisher: WILEY
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Students have asked these similar questions
Construct tables showing the values of alI the Dirichlet characters mod k fork = 8,9, and 10.
(please show me result in a table and the equation in mathematical format.)
Example: For what odd primes p is 11 a quadratic residue modulo p?
Solution:
This is really asking "when is (11 | p) =1?"
First, 11 = 3 (mod 4). To use LQR, consider two cases p = 1 or 3 (mod 4):
p=1 We have 1 = (11 | p) = (p | 11), so p is a quadratic residue modulo 11. By
brute force:
121, 224, 3² = 9, 4² = 5, 5² = 3 (mod 11)
so the quadratic residues mod 11 are 1,3,4,5,9.
Using CRT for p = 1 (mod 4) & p = 1,3,4,5,9 (mod 11).
p = 1
(mod 4)
&
p = 1
(mod 11
gives p
1
(mod 44).
p = 1
(mod 4)
&
p = 3
(mod 11)
gives p25
(mod 44).
p = 1
(mod 4)
&
p = 4
(mod 11)
gives p=37
(mod 44).
p = 1
(mod 4)
&
p = 5
(mod 11)
gives p
5
(mod 44).
p = 1
(mod 4)
&
p=9
(mod 11)
gives p
9
(mod 44).
So p =1,5,9,25,37 (mod 44).
how to construct the following same table?
Chapter 22 Solutions
ADVANCED ENGINEERING MATH W/ACCESS
Ch. 22.1 - Prob. 1PCh. 22.1 - Prob. 2PCh. 22.1 - Prob. 3PCh. 22.1 - Prob. 4PCh. 22.1 - Prob. 5PCh. 22.1 - Prob. 6PCh. 22.1 - Prob. 7PCh. 22.1 - Prob. 8PCh. 22.1 - Prob. 9PCh. 22.1 - CAS EXPERIMENT. Steepest Descent. (a) Write a...
Ch. 22.2 - Prob. 1PCh. 22.2 - Prob. 2PCh. 22.2 - Prob. 3PCh. 22.2 - Prob. 4PCh. 22.2 - Prob. 5PCh. 22.2 - Prob. 6PCh. 22.2 - Prob. 8PCh. 22.2 - Prob. 9PCh. 22.2 - Prob. 10PCh. 22.2 - Prob. 11PCh. 22.2 - Prob. 12PCh. 22.2 - Prob. 13PCh. 22.2 - Prob. 14PCh. 22.2 - Prob. 15PCh. 22.2 - Prob. 16PCh. 22.2 - Prob. 17PCh. 22.2 - Prob. 18PCh. 22.2 - Prob. 19PCh. 22.2 - Prob. 20PCh. 22.2 - Prob. 21PCh. 22.2 - Prob. 22PCh. 22.3 - Prob. 1PCh. 22.3 - Prob. 2PCh. 22.3 - Prob. 3PCh. 22.3 - Prob. 4PCh. 22.3 - Prob. 5PCh. 22.3 - Prob. 6PCh. 22.3 - Prob. 7PCh. 22.3 - Prob. 8PCh. 22.3 - Prob. 9PCh. 22.3 - Prob. 10PCh. 22.3 - Prob. 11PCh. 22.3 - Prob. 12PCh. 22.3 - Prob. 13PCh. 22.3 - Prob. 14PCh. 22.4 - Prob. 1PCh. 22.4 - Prob. 2PCh. 22.4 - Prob. 3PCh. 22.4 - Prob. 4PCh. 22.4 - Prob. 6PCh. 22.4 - Prob. 7PCh. 22.4 - Prob. 8PCh. 22.4 - Prob. 9PCh. 22 - Prob. 1RQCh. 22 - Prob. 2RQCh. 22 - Prob. 3RQCh. 22 - Prob. 4RQCh. 22 - Prob. 5RQCh. 22 - Prob. 7RQCh. 22 - Prob. 8RQCh. 22 - Prob. 9RQCh. 22 - Prob. 10RQCh. 22 - Prob. 11RQCh. 22 - Prob. 13RQCh. 22 - Prob. 14RQCh. 22 - Prob. 15RQCh. 22 - Prob. 16RQCh. 22 - Prob. 17RQCh. 22 - Prob. 18RQCh. 22 - Prob. 19RQCh. 22 - Prob. 20RQ
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