How do we define the Sudan function?

A function of two positive integers x and y

A function of two negative integers x and y

A function of one positive integer x

A function of one negative integer y

What Do You Know About The Sudan Function?

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Quizzes Created: 129 | Total Attempts: 40,648

Questions: 10 | Attempts: 137 | Updated: Mar 18, 2023

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What Do You Know About The Sudan Function? - Quiz

In mathematics and theoretical computer science, the theory of computation encompasses the Sudan function, which is a function that is non-primitive recursive but still recursive.
Similar to the Ackermann function, it was discovered and published by a Romanian mathematician called Gabriel Sudan in the 1920s.
To find out more, take this short quiz.

Questions and Answers

1.

Who discovered the Sudan function?
- A.
  
  Gabriel Sudan
- B.
  
  Issac Sudan
- C.
  
  Mathew Sudan
- D.
  
  Micheal Sudan
Correct Answer
A. Gabriel Sudan

Explanation
Gabriel Sudan is the correct answer because he is the one who discovered the Sudan function.

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2.

When was the theorem discovered?
- A.
  
  1926
- B.
  
  1927
- C.
  
  1928
- D.
  
  1929
Correct Answer
B. 1927

Explanation
The theorem was discovered in 1927.

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3.

Which of these functions is used to represent the Sudan function?
- A.
  
  Fn(x,y)
- B.
  
  Fx Fx Fx Fx
- C.
  
  F(x * y) F(x*y)
- D.
  
  Fn
Correct Answer
A. Fn(x,y)

Explanation
The correct answer is Fn(x,y) because the question asks for the function used to represent the Sudan function. The function given as the answer, Fn(x,y), is the only option that includes the variable names x and y, indicating that it takes two inputs. Additionally, the capital letter "F" suggests that it is a specific function, possibly the Sudan function.

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4.

How do we define the Sudan function?
- A.
  
  A function of two negative integers x and y
- B.
  
  A function of one positive integer x
- C.
  
  A function of one negative integer y
- D.
  
  A function of two positive integers x and y
Correct Answer
D. A function of two positive integers x and y

Explanation
The Sudan function is defined as a function that takes two positive integers, x and y, as inputs. This means that the function requires two positive integers to be able to compute a result.

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5.

For the zeroth order, the Sudan function is defined as what?
- A.
  
  F0 (x,y)
- B.
  
  F0
- C.
  
  F0 (x*y)
- D.
  
  F0x
Correct Answer
A. F0 (x,y)

Explanation
The zeroth order Sudan function is defined as F0 (x,y). This means that the function takes two variables, x and y, and returns a value. The other options, F0, F0 (x*y), and F0x, do not correctly represent the zeroth order Sudan function as they do not include both x and y as variables.

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6.

For the first order, the Sudan function is defined as what?
- A.
  
  F1
- B.
  
  F1 (x*y)
- C.
  
  F1 (x, y)
- D.
  
  F1x
Correct Answer
C. F1 (x, y)

Explanation
The correct answer is F1 (x, y) because the Sudan function is typically defined as taking two input variables, x and y. The notation F1 (x, y) indicates that the Sudan function takes two separate arguments, x and y, rather than a single argument in the form of x*y or F1x.

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7.

For the second order, how do we define the Sudan function?
- A.
  
  F2
- B.
  
  F2(x, y)
- C.
  
  F2(x*y)
- D.
  
  F2x
Correct Answer
B. F2(x, y)

Explanation
The Sudan function for the second order is defined as F2(x, y).

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8.

For second order, which is the Sudan function defined as?
- A.
  
  F3
- B.
  
  F2 (x, y)
- C.
  
  F2 (x*y)
- D.
  
  F2x
Correct Answer
B. F2 (x, y)

Explanation
The correct answer is F2 (x, y) because the question is asking for the Sudan function defined as a second order function. The other options, F2 (x*y) and F2x, do not match the required format of the Sudan function as specified in the question. Therefore, F2 (x, y) is the correct answer.

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9.

What does Fn+1(x, 0) equal to?
- A.
  
  X^-1
- B.
  
  X^+1
- C.
  
  X^-2
- D.
  
  X^2
Correct Answer
B. X^+1

Explanation
Fn+1(x, 0) is equal to X^+1. This can be derived from the pattern of the given options. The function Fn+1(x, 0) represents the next term in the sequence, where each term is obtained by raising x to a power. The pattern observed is that the power increases by 1 with each term. Therefore, the correct answer is X^+1, as it follows the pattern and is the next term in the sequence.

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10.

What is the value of a zero order when x = 0, y = 1?
- A.
  
  1
- B.
  
  0
- C.
  
  -1
- D.
  
  2
Correct Answer
A. 1

Explanation
When the value of x is 0 and y is 1, the zero order refers to the constant term in a linear equation. In this case, the equation can be represented as y = mx + b, where m is the slope and b is the constant term. Since x is 0, the equation simplifies to y = b. Therefore, when x = 0 and y = 1, the value of the constant term (b) is 1.

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