7. Find a closed form representation for the function defined recursively by f(1) = 10 and ƒ(n)=5ƒ(13)+ +n.

Q: 1. The incompletely specified logic function f(a, b, c, d) is given below: f(a, b, c, d) = U₁ (0, 1,…

A: Answer a: prime implicants is take maximum number of 1's.

Q: For function f from {a, b, c, d} to {1, 2, 3, 4, 5}. f(a) = 4, f(b) = 5, f(c) = 1 and f(d) = 3, The…

A: - We have to get the domain of the set where function is called from {a, b, c, d} to {1, 2, 3, 4,…

Q: how to use a histrogram to estimate the the size of selection of the form σA<=γ(r)?

A: how to use a histogram to estimate the the size of selection of the form σA&lt;=γ(r)?

Q: Define a function  S: Z+ → Z+  as follows. For each positive integer n, S(n) =  the sum of the…

A: Given function: S: Z+ →Z+ For each positive integer n, S(n) = The sum of the positive divisor of n.

Q: 2) The trapezoidal integration rule for the integration of the function f(x) over the interval [a b]…

A: Algorithm/Program Plan: Create a function f(x) return 1/(1 + x**2)   Create another function…

Q: Problem 1. Prove that the following functions are Primitive Recursive. I – 1 if x > 0, (1) mPred(x)…

A: For the above given question the solution is given below:

Q: If f:A->B and g:B->C, does there exist a function h:B->A such that f•k=g (composition)?

A: If there is a bijection between two sets A and B, then both sets will have the same number of…

Q: Define a function S : Z+ → Z+  as follows. For each positive integer n, S(n) = the sum of the…

A: Here we have given function definition and solved s(n)

Q: Implement the XOR function exclusively through a combination of AND, OR, and NOT perceptrons…

A: The XOR (exclusive or) function is a logical operation that returns true only when the number of…

Q: 4. Find a closed form representation for the function defined recursively by f(0) = 5 and…

A: Answer: We have explain in more details to correct using an inductive arguments

Q: A quadratic function is a function of the form f(x) = ax² +bx+c, where a, b, c E R are fixed…

A: Here we have  the program defines a function quad_coefficients(f) that takes a function f as input,…

Q: Which functions are one-to-one? Which functions are onto? Describe the inverse function for any…

A: This is a question about one-to-one, onto, and bijective functions and their inverses. The question…

Q: 1. For the function defined recursively by f(0)=5 and f(n)= 4f (n-1)+3, answer the following: a.…

A: General guidance The answer provided below has been developed in a clear step by step manner. First…

Q: Write a Matlab function of the form psi = polyLagrange(k)

A: function psi = polyLagrange(k)  k = k + 1;    x = linspace(-1,1,k); % x values    y = zeros(1,k);% y…

Q: In Matlab, Write a function in which, given a matrix of positive values ​​and dimensions 16×16, the…

A: 1. Function Definition:   - Define a function named preserve_four_largest that takes a 16x16 matrix…

Q: W Y X Y

A:

Q: How does the concept of duality in linear programming assist in finding solutions to primal problems…

A: Regarding optimization algorithms in linear programming, duality is a concept.Every linear…

Q: Use only the variables x and y and functions car, cdr and cons, provide Lisp S-expressions for…

A: Hello studentGreetingsLisp, a prominent programming language renowned for its simplicity and…

Q: (a) Let L = {w E {0, 1}*: w does not end in 01} (a) Show a regular expression that generates L. (b)…

A: ANSWER:

Q: Find a closed form representation for the following recursively defined function. Give the run-time…

A: Given recurrence relation is, T(n)=8T(n/4)+n The best case is n=1 It is in the form of…

Q: 3. Use a truth table (either by hand or with a computer program) to prove the commutative laws for ^…

A: The commutative law for ∧ is p∧q≡q∧p lets create truth table for the law p q p∧q q∧p T T T T…

Q: Find the K-maps for the following functions. Eliminate the 0-hazards for F (A, B, C, D) and…

A: Karnaugh maps, often referred to as K-maps, are a valuable tool in digital logic design for…

Q: Prove that f(n)= {floor function of sqrt(n)} - { floor function of sqrt(n-1)} is a multiplicative…

A: Proving that  f(n)= {floor function of sqrt(n)} - { floor function of sqrt(n-1)}  is a…

Q: Iollowing Table thể function F, generate a Karnaugn-Map (1 Point), and a Boolean Algebra…

A: mark all combination where f=1

Q: n function F; together with don’t care conditions d, and then express the simplified function in…

A: F (A, B, C, D) = Π (5, 6, 7, 12, 14, 15), d (A, B, C, D) = Π (3, 9, 11)

Q: Give a recursive definition of the relation is equal to on N x N using the operator s

A: I'm providing the answer to the above question. I hope this will be helpful for you.

Q: Show that the following argument is valid for any natural number n ∈N. p1 →p2 p2 →p3 ... pn−1 →pn…

A: Argument given is, p1 -&gt; p2,                                p2 -&gt; p3,…

Q: For each of these functions, determine its domain, codomain, and range.    f: Z → R, f(n) = 7

A: Domain is.  Z Codomain is R Range is 7

Q: 5. F has one-tó-one correspondence. F {(-5, p), (10, w), (15, n), (20, m), (25, u), (30, b)}. Draw…

A: We are given function F has one-to-one correspondence and we will draw diagram for F-1. First we…

Q: Write a user-defined MatLab function I=Simp38(FunName,a,b) using the composite Simpson's 3/8 method.…

A: 1. Programming is the process of creating a set of instructions that tells a computer how to perform…

Q: for the function t(n)=5n−1/5+7n8

A: t(n)=5n−1/5+7n8/5.

Q: Part (a) of the question asks to calculate the values of a_2, a_3, a_4, a_5, a_6, a_7, and a_8 for…

A: The question presents a function, S(k), defined as the sum of the positive divisors of a positive…

Q: Develop a user-defined MatLab function I =Comptrapez(FunName,a,b) of integrating a function by using…

A: MATLAB which refers to the one it is a proprietary multi-paradigm programming language and numeric…

Q: Given g = {(1,c),(2,a),(3,d)}, a function from X = {1,2,3} to Y = {a,b,c,d}, and f =…

A: In this question, we are given two functions f and g. And we have to find out the fog as a set of…

Q: Simplify the following Boolean functions, using three-variable maps: А. F(x,y,z)=E(0,2,3,4,5,6)…

A: Given three Boolean functions, F(x,y,z)=∑(0,2,3,4,5,6) F(x,y,z)=∑(0,1,3,6,7) F(x,y,z)=xy+x y z+x y z…

Q: Prove:Church’s thesis: The class of computable functions is equal to the class of intuitive…

A: The inference () is obvious. Each programme of a TM may be performed step by step (for example, by…

Computational Systems

The computation systems can be defined as the systems that are capable of solving a problem that includes calculations either mathematical or logical, and are able to produce the result as an output. For example, a simple calculator that is given a set of numbers and operators as input and produces the result as an output can be defined as a computational system. The above example is a simple illustration only, the computational systems range from simple devices to complex devices such as the systems that control the SpaceX companies, Starlink satellites which are being quite recently seen in the skies at many places globally.