(a) Prove that, if a and b are nonnegative integers such that a =4 b, then 3ª =5 3⁰. (b) Using (a), explain why the below defines a well-defined function f: f: Z4 → Z5 f([a]4) [39]5 if a > 0. =
(a) Prove that, if a and b are nonnegative integers such that a =4 b, then 3ª =5 3⁰. (b) Using (a), explain why the below defines a well-defined function f: f: Z4 → Z5 f([a]4) [39]5 if a > 0. =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![=5
(a) Prove that, if a and b are nonnegative integers such that a =4 b, then 3ª
(b) Using (a), explain why the below defines a well-defined function f:
f: 24 → 25
f([a]4) = [39]5 if a ≥ 0.
3b.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc86229f7-e5a9-4e38-b872-4fc8db453ef1%2Fb73b9dab-7dea-46b2-a4a5-f5d3e8cddd1d%2F3b29l1h_processed.png&w=3840&q=75)
Transcribed Image Text:=5
(a) Prove that, if a and b are nonnegative integers such that a =4 b, then 3ª
(b) Using (a), explain why the below defines a well-defined function f:
f: 24 → 25
f([a]4) = [39]5 if a ≥ 0.
3b.
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1. Hello, I dont really know whats being said at this part, Is it saying 3 = 5 multiplied by b?
Also from what I understand from mods, is that b-a should be a multiple of 4. If that is the case then shouldnt a = b - 4k?
Im a bit comfused.
Thank you.
Transcribed Image Text:Ca
To
за
a
prove that
=
as
5 x 3b, we
can start by writing
non negative
a = 4k+b for some
integer K.
Solution
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