Question: Give an inductive proof the fact that consecutively mapping two functions over a list is equivalent to mapping their composition over the list. That is:

Give an inductive proof the fact that consecutively mapping two functions over a list is equivalent to mapping their composition over the list.

That is: map f (map g xs) = map (f.g) xs

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!

Q:

Give an inductive proof the fact that consecutively mapping two functions over a list is equivalent to mapping their composition over the list. That is: map f (map g xs) map (f.g) xs The definitions...

Q:

Give an inductive proof the fact that consecutively mapping two functions over a list is equivalent to mapping their composition over the list. That is: map f (map g xs) = map (f,g) xs The...

Q:

Give an inductive proof the fact that consecutively mapping two functions over a list is equivalent to mapping their composition over the list. Give an inductive proof the fact that consecutively...

Q:

Give an inductive proof the fact that consecutively mapping two functions over a list is equivalent to mapping their composition over the list. That is: map f (map g xs) = map (f,g) xs The...

Q:

(iii) Now express your decision rule instead using only the quantities p(Ck), p(Cj ), p(x|Ck), p(x|Cj ), and relate it to the diagram above. [2 marks] (iv) If the classifier decision rule assigns...

Q:

You have been provided with the description of a programming language, J, intended for scripting applications. Its syntax is similar to a cut-down version of Java in that it consists of function...

Q:

Let r and s be solutions to the quadratic equation x 2 b x + c = 0. For n N, define d0 = 0 d1 = r s dn = b dn1 c dn2 (n 2) Prove that dn = r n s n for all n N. [4 marks] (b) Recall that a commutative...

Q:

Please help me make an Executive Summary. Explain what you will examine in the case study. Write an overview of the field you are researching. Make a thesis statement and sum up the results of your...

Q:

Lambda Run is a game in which a plucky red panda ("Lambda") tries to find their way home through a pleasant land of grass, trees, and rocks, but who quickly gets tired. Can Lambda make it home to...

Q:

In a Hopfield neural network configured as an associative memory, with all of its weights trained and fixed, what three possible behaviours may occur over time in configuration space as the net...

Q:

The LP relaxation of an ILP problem always encompasses all the feasible integer solutions to the original ILP problem. encompasses at least 90% of the feasible integer solutions to the original ILP...

Q:

n Write an equation for the polynomial graphed below 5+ 4 3 1 -3 -2 -1 -1 -5 1 2 3 4 5 -2 -3 + -4 -5 + y(x) = Preview

Q:

Charlie and Keona are discussing the upcoming review of a client's subsequent events by asks Keona to explain how this is typically handled by the audit firm. Which of the follow by Keona? The...

Q:

please dont use chat gpt 2 6 4 .

Q:

How has Departmental Computing increased the need for HCM Professionals and Technical Staff to be skilled in Business Computing Software and Systems?

Q:

Describe the difference between Two- and Three-Tier Computing Systems.

Q:

Explain the differences between On Premises, SaaS, PaaS, IaaS, and Hybrid Computing environments.