Homework Answers
Implementation Level Description
- Go to the right most
- If it is 0, move right and change one bank symbol to 0 and then change the next one to 1
- If it is 1, change it to blank
Examples
Even: 1000 = 8 then remove the last 0 to blank: 100 = 4
Odd: 1001 = 9 then 100101 = 37
--------------------------------------
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5. Consider the following N-N function f: 4n+1 ifn is odd if n is even. Representing...
Odd and Even Functions An even function has the property f(x) =f(-x). Consider the function f(x)...
Odd and Even Functions An even function has the property f(x) =f(-x). Consider the function f(x) Now, f (-a)-(-a)"-d f(a) An odd function has the property f(-x)-f(x). Consider the function f(x) Now, f (-a) = (-a)' =-a3 =-f(a) Declarative & Procedural Knowledge Comment on the meaning of the definitions of even and odd functions in term of transformations. (i) (ii) Show that functions of the formx) are even. bx2 +c Show, that f(x) = asin xis odd and g(x) =...
Consider f(x) = x[x] - 1<x< 1 Is the function even? Odd? Or neither/ Expand f...
Consider f(x) = x[x] - 1<x< 1 Is the function even? Odd? Or neither/ Expand f in an appropriate series. Find the limit of the series on the interval (-1,1).
5. Let A = P(R). Define f : R → A by the formula f(x) =...
5. Let A = P(R). Define f : R → A by the formula f(x) = {y E RIy2 < x). (a) Find f(2). (b) Is f injective, surjective, both (bijective), or neither? Z given by f(u)n+l, ifn is even n - 3, if n is odd 6. Consider the function f : Z → Z given by f(n) = (a) Is f injective? Prove your answer. (b) Is f surjective? Prove your answer
Question 5. Let Σ = {a, b}, and consider the language L = {a n :...
Question 5. Let Σ = {a, b}, and consider the language L = {a n : n is even} ∪ {b n : n is odd}. Draw a graph representing a DFA (not NFA) that accepts this language. Question 6. Give a brief description of the language generated by the following production rules. S → abc S → aXbc Xb → bX Xc → Ybcc bY → Yb aY → aa aY → aaX
1. Cousider the followving periodic function a) Determine whether the following function is odd, even or...
1. Cousider the followving periodic function a) Determine whether the following function is odd, even or neither f(x) = sin 2x cos 3a. 2marks] Consider the following periodic function b) ㄫㄨ for -2 < x < 0 for 0< S 2 f(x) = { sin 0 f(x) = f(x + 4). i. Sketch the graph of the function over the interval-6< r <6. 2marks] Find the Fourier Series of f(x). (6marks ii.
2. Which of the following recursive functions, written in a fictitious language, are tail recursive? Select all that are A. function f(n) ifn<2 else f(n-1) + f(n-2) end If m=0 else B. function g(m...
2. Which of the following recursive functions, written in a fictitious language, are tail recursive? Select all that are A. function f(n) ifn<2 else f(n-1) + f(n-2) end If m=0 else B. function g(m,n) g(m-1,m'n) C. function h(n) if n 100 else 3 h(n+5) end D. function j(m.n) IT m=n 100 j(m-n,n) 10 j(n,n-m) elseif mn else
2. Which of the following recursive functions, written in a fictitious language, are tail recursive? Select all that are A. function f(n) ifn
Please solve for part (b) and (c) thank you! 1. Consider the function f(x) = e-x...
Please solve for part (b) and
(c) thank you!
1. Consider the function f(x) = e-x defined on the interval 0 < x < 1. (a) Give an odd and an even extension of this function onto the interval -1 < x < 1. Your answer can be in the form of an expression, or as a clearly labelled graph. [2 marks] (b) Obtain the Fourier sine and cosine representation for the functions found above. Hint: use integration by parts....
Computer Architecture problem Consider the following number 5 Digits Depending on the given number, convert the...
Computer Architecture problem
Consider the following number 5 Digits Depending on the given number, convert the assembly instruction into machine code in hexadecimal. Register (F)fopl opcode funct(C)Irs! Number Even and 0x0 0x24 Even $a0 Odd or Ox0 0x25 Odd $al Number Even $s6 22 5 Odd $s7 23 Write out your assembly instruction f irst. Convert it into machine code in hexadecimal. If the content of the registers are as follows, determine the value of $vO after your instruction has...
5. Let f a, b R be a 4 times continuously differentiable function. For n even, consider < tn = b, a to < t< an...
5. Let f a, b R be a 4 times continuously differentiable function. For n even, consider < tn = b, a to < t< an uniform partition of [a, b] with b- a , i = 0,1,.. , n - 1 h t Let T denote the composite Trapezoidal rule associated with the above partition which approx imates eliminate the term containing h2 in the asymptotic expansion. Interprete the result which you obtain as an appropriate numerical quadrature rule...
2) (15 marks) Consider the function ffo E [0,1 (a) Construct the even extension of f and find its...
2) (15 marks) Consider the function ffo E [0,1 (a) Construct the even extension of f and find its Fourier series. You may use MuPAD to check your calculations, but you will have to show your working for computing each integral to get any marks. (b) Construct the odd extension of f and find its Fourier series. You may use MuPAD to check your calculations, but you will have to show your working for computing each integral to get any...
Odd and Even Functions An even function has the property f(x) =f(-x). Consider the function f(x) Now, f (-a)-(-a)"-d f(a) An odd function has the property f(-x)-f(x). Consider the function f(x) Now, f (-a) = (-a)' =-a3 =-f(a) Declarative & Procedural Knowledge Comment on the meaning of the definitions of even and odd functions in term of transformations. (i) (ii) Show that functions of the formx) are even. bx2 +c Show, that f(x) = asin xis odd and g(x) =...
Consider f(x) = x[x] - 1<x< 1 Is the function even? Odd? Or neither/ Expand f in an appropriate series. Find the limit of the series on the interval (-1,1).
5. Let A = P(R). Define f : R → A by the formula f(x) = {y E RIy2 < x). (a) Find f(2). (b) Is f injective, surjective, both (bijective), or neither? Z given by f(u)n+l, ifn is even n - 3, if n is odd 6. Consider the function f : Z → Z given by f(n) = (a) Is f injective? Prove your answer. (b) Is f surjective? Prove your answer
1. Cousider the followving periodic function a) Determine whether the following function is odd, even or neither f(x) = sin 2x cos 3a. 2marks] Consider the following periodic function b) ㄫㄨ for -2 < x < 0 for 0< S 2 f(x) = { sin 0 f(x) = f(x + 4). i. Sketch the graph of the function over the interval-6< r <6. 2marks] Find the Fourier Series of f(x). (6marks ii.
2. Which of the following recursive functions, written in a fictitious language, are tail recursive? Select all that are A. function f(n) ifn<2 else f(n-1) + f(n-2) end If m=0 else B. function g(m,n) g(m-1,m'n) C. function h(n) if n 100 else 3 h(n+5) end D. function j(m.n) IT m=n 100 j(m-n,n) 10 j(n,n-m) elseif mn else
2. Which of the following recursive functions, written in a fictitious language, are tail recursive? Select all that are A. function f(n) ifn
Please solve for part (b) and
(c) thank you!
1. Consider the function f(x) = e-x defined on the interval 0 < x < 1. (a) Give an odd and an even extension of this function onto the interval -1 < x < 1. Your answer can be in the form of an expression, or as a clearly labelled graph. [2 marks] (b) Obtain the Fourier sine and cosine representation for the functions found above. Hint: use integration by parts....
Computer Architecture problem
Consider the following number 5 Digits Depending on the given number, convert the assembly instruction into machine code in hexadecimal. Register (F)fopl opcode funct(C)Irs! Number Even and 0x0 0x24 Even $a0 Odd or Ox0 0x25 Odd $al Number Even $s6 22 5 Odd $s7 23 Write out your assembly instruction f irst. Convert it into machine code in hexadecimal. If the content of the registers are as follows, determine the value of $vO after your instruction has...
5. Let f a, b R be a 4 times continuously differentiable function. For n even, consider < tn = b, a to < t< an uniform partition of [a, b] with b- a , i = 0,1,.. , n - 1 h t Let T denote the composite Trapezoidal rule associated with the above partition which approx imates eliminate the term containing h2 in the asymptotic expansion. Interprete the result which you obtain as an appropriate numerical quadrature rule...
2) (15 marks) Consider the function ffo E [0,1 (a) Construct the even extension of f and find its Fourier series. You may use MuPAD to check your calculations, but you will have to show your working for computing each integral to get any marks. (b) Construct the odd extension of f and find its Fourier series. You may use MuPAD to check your calculations, but you will have to show your working for computing each integral to get any...
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