Suppose we define a relation on the set {strings in A} by making aRb = length(a) = length(b) %3D Support or refute the following statements. Explain your reasoning. is reflexive. is symmetric. a) The relation as defined b) The relation as defined
Suppose we define a relation on the set {strings in A} by making aRb = length(a) = length(b) %3D Support or refute the following statements. Explain your reasoning. is reflexive. is symmetric. a) The relation as defined b) The relation as defined
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Stuck need help! The class I'm taking is computer science discrete structures.
Problem is attached. please view both attachments before answering.
I need help with parts A and B
Please explain answer so I can fully understand.
Really struggling with this concept. Thank you so much.
![Let Set \( A = \{\text{the quick brown fox jumped over the lazy dog}\} \) be a set of strings (two or more characters) formed by characters (single letters) in the standard alphabet.
Enumerate (assign numbers to) the alphabet as
\[
\begin{array}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|}
\hline
\text{A} & \text{B} & \text{C} & \text{D} & \text{E} & \text{F} & \text{G} & \text{H} & \text{I} & \text{J} & \text{K} & \text{L} & \text{M} & \text{N} & \text{O} & \text{P} & \text{Q} & \text{R} & \text{S} & \text{T} & \text{U} & \text{V} & \text{W} & \text{X} & \text{Y} & \text{Z} \\
\hline
0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 & 16 & 17 & 18 & 19 & 20 & 21 & 22 & 23 & 24 & 25 \\
\hline
\end{array}
\]
Consider the following encryption algorithm written in pseudo code:
**Encrypt(set):**
Define \( f(x) = x + 13 \mod 26 \).
Now,
\[
\forall x \in \text{characters of } A,
\]
\[
\text{If } x \equiv 14 \mod 26,
\]
\[
\text{Then } x \rightarrow f(x)
\]
\[
\text{If not,}
\]
\[
\text{Then } x \rightarrow x
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc0609d66-7636-459e-ad33-c7c5deea1ef1%2F5738d94b-3616-40e7-be72-f9b70e33a51e%2Fx0kcptm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let Set \( A = \{\text{the quick brown fox jumped over the lazy dog}\} \) be a set of strings (two or more characters) formed by characters (single letters) in the standard alphabet.
Enumerate (assign numbers to) the alphabet as
\[
\begin{array}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|}
\hline
\text{A} & \text{B} & \text{C} & \text{D} & \text{E} & \text{F} & \text{G} & \text{H} & \text{I} & \text{J} & \text{K} & \text{L} & \text{M} & \text{N} & \text{O} & \text{P} & \text{Q} & \text{R} & \text{S} & \text{T} & \text{U} & \text{V} & \text{W} & \text{X} & \text{Y} & \text{Z} \\
\hline
0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 & 16 & 17 & 18 & 19 & 20 & 21 & 22 & 23 & 24 & 25 \\
\hline
\end{array}
\]
Consider the following encryption algorithm written in pseudo code:
**Encrypt(set):**
Define \( f(x) = x + 13 \mod 26 \).
Now,
\[
\forall x \in \text{characters of } A,
\]
\[
\text{If } x \equiv 14 \mod 26,
\]
\[
\text{Then } x \rightarrow f(x)
\]
\[
\text{If not,}
\]
\[
\text{Then } x \rightarrow x
\]
![**Transcription for Educational Website**
**Topic: Relations in Set Theory**
Suppose we define a relation on the set \(\{ \text{strings in } A \}\) by making
\[ aRb \iff \text{length}(a) = \text{length}(b) \]
Support or refute the following statements. Explain your reasoning.
a) The relation as defined is reflexive.
b) The relation as defined is symmetric.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc0609d66-7636-459e-ad33-c7c5deea1ef1%2F5738d94b-3616-40e7-be72-f9b70e33a51e%2F5ym6lqp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Transcription for Educational Website**
**Topic: Relations in Set Theory**
Suppose we define a relation on the set \(\{ \text{strings in } A \}\) by making
\[ aRb \iff \text{length}(a) = \text{length}(b) \]
Support or refute the following statements. Explain your reasoning.
a) The relation as defined is reflexive.
b) The relation as defined is symmetric.
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