With the following function f (a, b, c, d), apply Hindley-Milner type checking and identify the type for each argument. f(a, b, c, d) = if b = 1 then else f(a,b,c,d) [] apply if a[1](0) then c(1) else c(d) if a[b](0) then c(b) else f(a, b - 1, c, d) def if apply if apply [] apply if apply apply

With the following function f (a, b, c, d), apply Hindley-Milner type checking and identify the type for each argument. f(a, b, c, d) = if b = 1 then else f(a,b,c,d) [] apply if a[1](0) then c(1) else c(d) if a[b](0) then c(b) else f(a, b - 1, c, d) def if apply if apply [] apply if apply apply

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Write function log(arg1,arg2) which returns floating number of ln(1 + ?) using following taylor series : ? is arg1 (−1.0 < ? < 1.0) and ? is arg2 (positive integer) log(arg1,arg2) function should contain the concept of recursion function
f:AB. A = {0, 1, 2}, B F(0) = 1, f(1) = 2, f(2) = 2 1. Is f, as described above, a function? If it is not a function, explain why. 2.If f is a function.Answer the following: a.lsfinjective? If it is not injective, explain why. {0, 1, 2} %3D b.lsf surjective? If it is not surjective, explain why. c.lsf bijective? If it is not bijective, explain why. d.Does f have an inverse? If f has an inverse, what is the domain and codomain of f? Use the name of the sets. Iff does not have an inverse, explain why. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph Arial 10pt x? X, Te Ix 田田田网 ABC - へ Ť {;} O WORDS POWERED BY !!! 田

Question 2: Write a function callled number matrix (r,c) that takes two parameters r and c and PRINTS ON THE SCREEN a matrix of numbers as follows: 1 2 3 4 5 2 3 45 6... 3 4 5 6 7 ... In this pattern, each row contains c numbers and there are r rows. For example, number matrix (4,3) results in: 1 2 3 2 3 4 3 4 5 4 5 6 Note that you shouldn't be printing anything other than the required matrix of numbers. Even empty strings may invalidate your answer. def number matrix (r,c) : # Remove this line before you answer this question. If you will NOT answer # this question, then do NOT remove this line. return
1. A set of integers are relatively prime to each other if there is no integer greater than 1 that divides all the elements. Furthermore, in Number Theory, it is known that the Euler function,ϕ (n), expresses the number of positive integers less than n that are relatively prime with n. Choose the alternative that has the correct value of ϕ(n) for every n below. A) ϕ(5) = 4 B) ϕ(6) = 2 C) ϕ(10) = 3 D) ϕ(14) = 6 E) ϕ(17) = 16
Write a function ones_and_tens_digit_histogram(numbers) that takes as input a list of numbers and produces as output a list of 10 numbers. Each element of the result indicates the frequency with which that digit appeared in the ones place or the tens place in the input. here is an example call and result: Call: ones_and_tens_digit_histogram([0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765]) Return: [0.21428571428571427, 0.14285714285714285, 0.047619047619047616, 0.11904761904761904, 0.09523809523809523, 0.09523809523809523, 0.023809523809523808, 0.09523809523809523, 0.11904761904761904, 0.047619047619047616] In this example call, the index 1 of the list contains the element 0.14285714285714285 because the value 1 appears in 14.285714285714285% of the ones or tens digits of the given numbers. In a number that is less than 10, such as 3, the tens place is implicitly zero. That is 3 must be treated as 03. Your code should treat the tens digits…
For function multiply, write the missing base case condition and action. This function will multiply two numbers x and y. You can assume that both x and y are positive. Examples: multiply(2, 3) -> 6 public int multiply(int x, int y) { if <<Missing base case condition>> { <<Missing base case action>> } else { return multiply(x - 1, y) + y; }}
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Remember that an integer n is prime if (i) n> 2 and (ii) it is only divisible by 1 and n itself. Subtask I: You will start by implementing a function is_prime(n: int) -> bool that returns True if the number n is prime and False otherwise. For example: • is_prime(1) should return False. is_prime(2) should return True. is_prime(-2) should return False. is_prime(5) should return True. • is_prime(41) should return True. • is_prime(323) should return False. Subtask II: The thing is, many people believe prime numbers bring sadness and must be avoided. To this end, you'll write a function sans_primes(numbers: list[int]) -> list[int] that takes in a list of integers and returns the numbers in the input list in the original order, except that every prime number is banned, so it will be excluded and numbers that come immediately after a prime number will also be excluded. For example: • sans_primes([1, 4, 9, 10]) should return [1, 4, 9, 10]. • sans_primes([1, 11, 9, 10, 17]) should return [1,…
3. Write down the results for each of the the following function applications; if any of them is erroneous, indicate what the problem is: 4) ] а. CAR[ (( () b. CDR[ (() 4) ] c. CONS[ (a), (b) ] d. NULL[ CDR[ (a) ] ] Note: NULL [] is a primitive function that returns T if its argument is NIL and otherwise returns NIL It is, effectively, the same as null?[] of Scheme.
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