Question

Define the reverse of a string as follows: • aR = a where a ∈ Σ...

Define the reverse of a string as follows:

• aR = a where a ∈ Σ

• (wa)R = awR

Prove by induction that (uv)R = vRuR

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
4. Consider two random variables Q and R, where • σ 2 Q = 8 •...
4. Consider two random variables Q and R, where • σ 2 Q = 8 • σ 2 R = 8 • V ar[3Q + 3R] = 150 (a) (3 points) Calculate the covariance of Q and R, σQR. (b) (1 point) Calculate the correlation between Q and R, ρQR. (c) (3 points) Calculate V ar[2Q − 2R].
Computer Science Theory Question Please Answer correctly and clearly with explanation if possible. => For a...
Computer Science Theory Question Please Answer correctly and clearly with explanation if possible. => For a string w = w1w2...wn where wi ∈ Σ, we define the reverse of w as wR= wn...w2w1 (namely the string w in reverse order). For a languageLwe defineLR={wR|w∈L}. ===> Prove that for every regular expression α there is a regular expression β of the exact same length | β |=|α |, such that L(β) = (L(α))R. (NOTE - Here In this problem you are...
Write a Python program that splits, doubles, and reverse each input string entered. For each string,...
Write a Python program that splits, doubles, and reverse each input string entered. For each string, split it at the given integer, and then output it in format as shown below. Convert all stings entered to uppercase for output. Assume string length is greater than the split value. Refer to the sample output below. Sample Runs: Enter a string: holiday Enter the number to split on: 3 HOL-YADI-LOH-IDAY Enter a string: TATTARRATTAT Enter the number to split on: 6 TATTAR-TATTAR-RATTAT-RATTAT...
Prove by induction on strings that for any binary string w, (oc(w))R = oc(wR). (See Exercise...
Prove by induction on strings that for any binary string w, (oc(w))R = oc(wR). (See Exercise 4.7.3 for the definition of one’s complement.)
Define a grammar by setting Σ = {σ} and let F consist of the following instruction...
Define a grammar by setting Σ = {σ} and let F consist of the following instruction formulas. 1.    σ → N V.2.    N → n, for some n  {he, she, José, Sal, Anna}.3.    V → v, for some v  {runs, jumps, skips, falls, swims}.4.    σ → σ P σ.5.    P → p, for some p  {and, while until}.6.    σ → either σ or σ. Consider the following string in the given grammar. Draw the corresponding tree. (Submit a file with a maximum size of 10MB.) Sal runs while Anna...
Define a set M recursively as follows. B. 3 and 7 are in M R. If...
Define a set M recursively as follows. B. 3 and 7 are in M R. If x and y are in M, so is x+y. (it is possible that x = y) Prove for every natural number n greater than or equal to 12, n is an element of M
Define a Q-sequence recursively as follows. B.   x, 4 − x is a Q-sequence for any...
Define a Q-sequence recursively as follows. B.   x, 4 − x is a Q-sequence for any real number x. R.   If x1, x2,   , xj and y1, y2,   , yk are Q-sequences, so is     x1 − 1, x2,   , xj, y1, y2,   , yk − 3. Use structural induction (i.e., induction on the recursive definition) to prove that the sum of the numbers in any Q-sequence is 4. Base Case: Any Q-sequence formed by the base case of the definition has sum x +...
1) Find the sum S of the series where S = Σ i ai -- here...
1) Find the sum S of the series where S = Σ i ai -- here i varies from 1 to n. Use the mathematical induction to prove the following: 2) 13 + 33 + 53 + …. + (2n-1)3 = n2(2n2-1) 3) Show that n! > 2n for all n > 3. 4) Show that 9(9n -1) – 8n is divisible by 64. Show all the steps and calculations for each of the above and explain your answer in...
Let X1, X2,...,Xn represent n random draws from a population with standard deviation σ and variance...
Let X1, X2,...,Xn represent n random draws from a population with standard deviation σ and variance σ^2 , so that V ar[X1] = V ar[X2] = ... = V ar[Xn] = σ^ 2 . Define the sample average taken from a sample of size n as follows: X¯ n ≡ (X1 + X2 + ... + Xn)/ n . a) Derive an expression for the standard deviation of X¯ n. [Hint: Your answer should depend only on σ and n]...
Let A = {1,2,3,4,5,6,7,8,9,10} define the equivalence relation R on A as follows : For all...
Let A = {1,2,3,4,5,6,7,8,9,10} define the equivalence relation R on A as follows : For all x,y A, xRy <=> 3|(x-y) . Find the distinct equivalence classes of R(discrete math)