Example: L = {w over E = {a, b} | |w| < 3 }, list the members of L and what is the cardinality of L. L = {A, a, b, aa, ab, ba, bb, aaa, aab, aba, abb, baa, bab, bba, bbb}. Cardinality ofL = |L| = 15. Problem#1: Consider E = {0, 1, 2} a. L4 = {s over E | |s| < 4 and sum of digits in s is divisible by 2 or divisible by 3 } {s over E||s| < 4 and sum of digits in s is divisible by 2 and divisible by 3 } {s over E| |s| < 4 and sum of digits in s is divisible by 2 but not divisible by 3 } b. L5 с. L6

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Give the strings of each language of the following problems in ascending order of word length and also give the cardinalities of the languages.

Find L1 , L& L3.

Example: L =
{w over E = {a, b} | |w| < 3 }, list the members of L and what is the cardinality of L.
L = {A, a, b, aa, ab, ba, bb, aaa, aab, aba, abb, baa, bab, bba, bbb}.
Cardinality of L = |L| = 15.
Problem#1: Consider E = {0, 1, 2}
а. L4
b. L5
{s over E||s| < 4 and sum of digits in s is divisible by 2 or divisible by 3}
{s over E||s| < 4 and sum of digits in s is divisible by 2 and divisible by 3 }
{s over E||s| < 4 and sum of digits in s is divisible by 2 but not divisible by 3 }
%3|
C. L6 =
Transcribed Image Text:Example: L = {w over E = {a, b} | |w| < 3 }, list the members of L and what is the cardinality of L. L = {A, a, b, aa, ab, ba, bb, aaa, aab, aba, abb, baa, bab, bba, bbb}. Cardinality of L = |L| = 15. Problem#1: Consider E = {0, 1, 2} а. L4 b. L5 {s over E||s| < 4 and sum of digits in s is divisible by 2 or divisible by 3} {s over E||s| < 4 and sum of digits in s is divisible by 2 and divisible by 3 } {s over E||s| < 4 and sum of digits in s is divisible by 2 but not divisible by 3 } %3| C. L6 =
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