Given a regular language A, define L2 = { xz | there exists y Σ*, xyz...

Given a regular language A, define L2 = { xz | there exists y Σ*, xyz A, |x|=|z|, |y| = 2 }. Decide with a formal proof if L2 is (a) regular; or (b) not regular but context-free; or (c) not context-free.

Expert Solution

venereology answered 1 year ago

Determine if the language ?={?^?∶?=?^3????????≥0}over Σ={?}is regular.

1. Prove the language L is not regular, over the alphabet Σ = {a, b}. L...

1. Prove the language L is not regular, over the alphabet Σ = {a, b}. L = { aib2i : i > 0} 2) Prove the language M is not regular, over the alphabet Σ = {a, b}. M = { wwR : w is an element of Σ* i.e. w is any string, and wR means the string w written in reverse}. In other words, language M is even-length palindromes.

The vector field given by E (x,y,z) = (yz – 2x) x + xz y +...

The vector field given by E (x,y,z) = (yz – 2x) x + xz y + xy z may represent an electrostatic field? Why? If so, finding the potential F a from which E may be obtained.

Define a Turing machine TM3 that decides language L3 = { w | w ∈ Σ*,...

Define a Turing machine TM3 that decides language L3 = { w | w ∈ Σ*, #a(w) = #b(w) } over the alphabet Σ = {a, b}. IMPLEMENT USING JFLAP NO PAPER SOLUTION

Let L ⊆ Σ ∗ and define S(L), the suffix-language of L, as S(L) = {w...

Let L ⊆ Σ ∗ and define S(L), the suffix-language of L, as S(L) = {w ∈ Σ ∗ | x = yw for some x ∈ L, y ∈ Σ ∗ } Show that if L is regular, then S(L) is also regular.

The electrical voltage in a certain region of space is given by the function V(x,y,z)=80+xz−sin⁡(yz). If...

The electrical voltage in a certain region of space is given by the function V(x,y,z)=80+xz−sin⁡(yz). If the directional derivative of V at (1,1,π) in the direction 〈a,−1,π〉 is π, what is the value of a? Group of answer choices π22 −π22 π2 −π2 None of the above.

Compute the derivative of the given vector field F. Evaluate the line integral of F(x,y,z) = (y+z+yz , x+z+xz , x+y+xy )

Compute the derivative of the given vector field F. Evaluate the line integral of F(x,y,z) = (y+z+yz , x+z+xz , x+y+xy )over the path C consisting of line segments joining (1,1,1) to (1,1,2), (1, 1, 2) to (1, 3, 2), and (1, 3, 2) to (4, 3, 2) in 3 different ways, along the given path, along the line from (1,1,1) to (4,3,2), and finally by finding an anti-derivative, f, for F.

Consider the scalar functions f(x,y,z)g(x,y,z)=x^2+y^2+z^2, g(x,y,z)=xy+xz+yz, and=h(x,y,z)=√xyz Which of the three vector fields ∇f∇f, ∇g∇g and...

Consider the scalar functions f(x,y,z)g(x,y,z)=x^2+y^2+z^2, g(x,y,z)=xy+xz+yz, and=h(x,y,z)=√xyz Which of the three vector fields ∇f∇f, ∇g∇g and ∇h∇h are conservative?

C Language Let us define a Point type to store two-dimensional coordinates (x, y)! Write the...

C Language Let us define a Point type to store two-dimensional coordinates (x, y)! Write the following functions operating on this data type: dist(): calculates the distance between the two points received (using the Pythagorean theorem) equal(): checks if to points are equal or not read(): reads a point from the keyboard and returns it In the main, define two points, and test all these functions. When all tests are passed, solve the following task by utilizing the structure and...

given DE has a regular singular point at x=0 determine two solutions for x>0 x^2y''+3xy'+(1+x)y=0

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