a. Every 1 is followed immediately by exactly one 0.
b. Every 2 is followed immediately by exactly two 0s.
c. Every 3 is followed immediately by exactly three 0s.
This is discrete mathematics.
Homework Answers
Solution :
Given that
Let T be the set of strings whose alphabet is {0, 1, 2, 3} such that, in every element of T.
Add Answer to:
A. Every 1 is followed immediately by exactly one 0. b. Every 2 is followed immediately by exactl...
1. 5 points] Let T be the set of strings whose alphabet is 10, 1,2,3) such that, in every element...
This is discrete
mathematics.
1. 5 points] Let T be the set of strings whose alphabet is 10, 1,2,3) such that, in every element of T a. Every 1 is followed immediately by exactly one 0. b. Every 2 is followed immediately by exactly two 0s. c. Every 3 is followed immediately by exactly three 0s. For instance, 00103000 E T.) Find a recursive definition for T
1. 5 points] Let T be the set of strings whose alphabet is...
Let Σ = {0, 1). (a) Give a recursive definition of Σ., the set of strings from the alphabet Σ. (b) Prove that for every n E N there are 2" strings of length n in '. (c) Give a recursive d...
Let Σ = {0, 1). (a) Give a recursive definition of Σ., the set of strings from the alphabet Σ. (b) Prove that for every n E N there are 2" strings of length n in '. (c) Give a recursive definition of I(s), the length of a string s E Σ For a bitstring s, let O(s) and I(s) be number of zeroes and ones, respectively, that occur in s. So for example if s = 01001, then 0(s)...
Please explain the answer shortly! :) The language of the regular expression (0+10)* is the set...
Please explain the answer shortly! :)
The language of the regular expression (0+10)* is the set of all strings of O's and 1's such that every 1 is immediately followed by a 0. Describe the complement of this language (with respect to the alphabet {0,1}) and identify in the list below the regular expression whose language is the complement of L((0+10)*). (0+1)*11(0+1)* (1+01)* (0+11)* (0+1)*1(8+1(0+1)*)
3) Construct a regular expression defining each of the following languages over the alphabet {a, b}....
3) Construct a regular expression defining each of the following languages over the alphabet {a, b}. (a) L = {aab, ba, bb, baab}; (b) The language of all strings containing exactly two b's. (c) The language of all strings containing at least one a and at least one b. (d) The language of all strings that do not end with ba. (e) The language of all strings that do not containing the substring bb. (f) The language of all strings...
Problem 3. A ternary string is a sequence of O's, 1's and 2's. Just like a...
Problem 3. A ternary string is a sequence of O's, 1's and 2's. Just like a bit string, but with three symbols 0,1 and 2. Let's call a ternary string good provided it never contains a 2 followed immediately by a 0, i.e., does not contain the substring 20. Let Go be the number of good strings of length n. For example, G_1=3, and G. = 8 (since of the 9 ternary strings of length 2, only one is not...
1. Use a Regular Expression to define the set of all bit strings of one or...
1. Use a Regular Expression to define the set of all bit strings
of one or more 0's followed by only a 1.
2. Use a Regular Expression to define the set of all bit string
of two or more symbols followed by three or more 0's.
3. Are these two grammars the same?
a. S-> aSb|ab|λ
b. S-> aAb|ab A->aAb|λ
4. Use the process of elimination to find the language of the
following FA: (see picture for diagram)
5....
Discrete mathematics 2) Let be eumber of ternary strings (of 0s, 1s and 2s) of length n that have no adjacent even digits. For example, so (the empty string), s3 (the strings 0, 1 and 2), while s2...
Discrete mathematics
2) Let be eumber of ternary strings (of 0s, 1s and 2s) of length n that have no adjacent even digits. For example, so (the empty string), s3 (the strings 0, 1 and 2), while s2 5: 01, 0, 12, 2 because the strings 00,02, 20, 22 are not allowed, as they have adjacent even digits. As another example, the string 10112 is allowed, while the strings 10012 and 120121 are not allowed (a) Find #3; (b) find...
Part B - Automata Construction Draw a DFA which accepts the following language over the alphabet...
Part B - Automata Construction Draw a DFA which accepts the following language over the alphabet of {0,1}: the set of all strings such that the number of 0s is divisible by 2 and the number of 1s is divisible by 5. Your DFA must handle all intput strings in {0,1}*. Here is a methodical way to do this: Figure out all the final states and label each with the shortest string it accepts, work backwards from these states to...
Prove that Z/ ≡3 has exactly three elements using the given hint! Definition: Let R be...
Prove that Z/ ≡3 has exactly three elements using the
given hint!
Definition: Let R be an equivalence relation on the set A. The set of all equivalence classes is denoted by A/R (g) Prove that Z/ has exactly three elements. Hint: First, verify that [5]3, [7]3, and [013 are three different elements of Z/-3-Then, verify that every m E Z is in one of these sets. Then explain why those two facts imply that [5]3, [7 3, and [013...
, In a standard set of double-six dominoes, there is exactly one domino for every possible...
, In a standard set of double-six dominoes, there is exactly one domino for every possible (unordered) pair of numbers from 0 to 6 (including doubles, i.e. a domino with two fives.) A "hand" of dominoes is another word for a set of dominoes. (a) How many dominoes are there (show your work)? (b) How many five-domino hands are there? (c) How many five-domino hands contain no domino with a 0? (d) How many five-domino hands contain at least one...
This is discrete
mathematics.
1. 5 points] Let T be the set of strings whose alphabet is 10, 1,2,3) such that, in every element of T a. Every 1 is followed immediately by exactly one 0. b. Every 2 is followed immediately by exactly two 0s. c. Every 3 is followed immediately by exactly three 0s. For instance, 00103000 E T.) Find a recursive definition for T
1. 5 points] Let T be the set of strings whose alphabet is...
Let Σ = {0, 1). (a) Give a recursive definition of Σ., the set of strings from the alphabet Σ. (b) Prove that for every n E N there are 2" strings of length n in '. (c) Give a recursive definition of I(s), the length of a string s E Σ For a bitstring s, let O(s) and I(s) be number of zeroes and ones, respectively, that occur in s. So for example if s = 01001, then 0(s)...
Please explain the answer shortly! :)
The language of the regular expression (0+10)* is the set of all strings of O's and 1's such that every 1 is immediately followed by a 0. Describe the complement of this language (with respect to the alphabet {0,1}) and identify in the list below the regular expression whose language is the complement of L((0+10)*). (0+1)*11(0+1)* (1+01)* (0+11)* (0+1)*1(8+1(0+1)*)
Problem 3. A ternary string is a sequence of O's, 1's and 2's. Just like a bit string, but with three symbols 0,1 and 2. Let's call a ternary string good provided it never contains a 2 followed immediately by a 0, i.e., does not contain the substring 20. Let Go be the number of good strings of length n. For example, G_1=3, and G. = 8 (since of the 9 ternary strings of length 2, only one is not...
1. Use a Regular Expression to define the set of all bit strings
of one or more 0's followed by only a 1.
2. Use a Regular Expression to define the set of all bit string
of two or more symbols followed by three or more 0's.
3. Are these two grammars the same?
a. S-> aSb|ab|λ
b. S-> aAb|ab A->aAb|λ
4. Use the process of elimination to find the language of the
following FA: (see picture for diagram)
5....
Discrete mathematics
2) Let be eumber of ternary strings (of 0s, 1s and 2s) of length n that have no adjacent even digits. For example, so (the empty string), s3 (the strings 0, 1 and 2), while s2 5: 01, 0, 12, 2 because the strings 00,02, 20, 22 are not allowed, as they have adjacent even digits. As another example, the string 10112 is allowed, while the strings 10012 and 120121 are not allowed (a) Find #3; (b) find...
Prove that Z/ ≡3 has exactly three elements using the
given hint!
Definition: Let R be an equivalence relation on the set A. The set of all equivalence classes is denoted by A/R (g) Prove that Z/ has exactly three elements. Hint: First, verify that [5]3, [7]3, and [013 are three different elements of Z/-3-Then, verify that every m E Z is in one of these sets. Then explain why those two facts imply that [5]3, [7 3, and [013...
, In a standard set of double-six dominoes, there is exactly one domino for every possible (unordered) pair of numbers from 0 to 6 (including doubles, i.e. a domino with two fives.) A "hand" of dominoes is another word for a set of dominoes. (a) How many dominoes are there (show your work)? (b) How many five-domino hands are there? (c) How many five-domino hands contain no domino with a 0? (d) How many five-domino hands contain at least one...
Most questions answered within 3 hours.
-
Beginning Retained Earnings are $ 79 comma 000 $79,000; sales
are $ 31 comma 700 $31,700;...
asked 28 seconds from now -
Please explain/demonstrate how to use NLTK to test unigram,
bigram, and trigram character models on guessing...
asked 5 minutes ago -
what you feel is most important to you and why regarding your
typing skills?
asked 6 minutes ago -
Consider a play of the casino game `Quick Draw'. In this game, a
player pays $11...
asked 16 minutes ago -
How do the mechanical features of bone affect its roles as
repositories of phosphate and calcium,...
asked 20 minutes ago -
P agreed to buy 100 barrels of widget oil, which was stored in a
large tank...
asked 20 minutes ago -
The unstable isotope 40K is used for dating rock samples. Its
half-life is 1.28×109y. How many...
asked 23 minutes ago -
Compare and contrast constructed-response items and
selected-response items.
Identify at least one (1) advantage and one...
asked 25 minutes ago -
A) Find the moment of inertia of a 2 meter long stick with a
mass of...
asked 23 minutes ago -
For the code below write a public static main() method
in class Student that:
- creates...
asked 26 minutes ago -
Please show all steps. Thank you
A 1.0-cm-diameter pipe widens to 2.0 cm, then narrows to...
asked 38 minutes ago -
The equilibrium constant for the following reaction Ag+(aq) +
2NH3(aq) Ag(NH3)2+(aq) is K = 1.7 ×...
asked 47 minutes ago