Make a k-map for each output segment (a, b, c, d, e, f, g) and write a Boolean function which describes each output as a function of inputs (and their complements). Fill in the resulting functions below.

In Kotlin, write a higher-order function with an expression body that takes an int n and a function f from int to int and returns the result of calling f(f(n)). For example if you call the function with n = -5 anda  function that calculates absolute value, your function will return 5, and if you send the value 2 and a function that calculates the sqaure of an int, the function will return 16. in addition to the function, write the syntax to call it with:a. a function name as the function arguementb. some lambda expression as the function argument

In Kotlin, Write and call a function with an expression body that takes three doubles, a, b, and c, and returns True if a, b, and c are a Pythagorean triple (ie if they are possible lengths for the sides of a right triangle), otherwise False.  The function must return True if the parameters are a Pythagorean triple, irrespective of the order in which they are given; for example, it must return True for 3.0 4.0 5.0 as well as for 3.0 5.0 4.0, etc. Use the || logical or operator to string together the cases in which you should return True, which you should evaluate using the function you wrote in the last question.

Are two regular expressions R = (a(a + b)*) and S = (a(a + b))* equivalent? If not, please show a counterexample.

Attempt to unify the following pairs of expressions. Either show their most general unifiers or explain why they will not unify. p(A,B,c) and p(Q,r,S)

Exercise 2C Write your function ExtEuclid (a,b) which take as input a pair of integers a>b>0 and outputs == d. the triple of integers (d,x,y) where d is the gcd of a and b and x*a + y*b :

Write a function called findCurrents( ) that takes in as input the number of panels and returns a vector of currents in each branch. Let the source voltage, Vs, be 100V and the value of each resistance be 1500 ohms.

Given a vector of real numbers r = (r1, r2, ..., rm). We can standardize the vector using the formulation: vi = "im, where m ri-m is the mean of the vector r, and s is the standard deviation of r. The vector v = (v1, v2, ..., Un) will be the scaled vector. Write a Python function scale_vec (r) that takes the vector r as input and returns the scaled vector v. Sample inputs and outputs: ● Input: np.array([1, 3, 5]), output: [-1.22474487 0. 1.22474487] • Input: np. array([3.3, 1.2, -2.7, -0.6]), output: [1.35457092 0.40637128 -1.35457092 -0.40637128] Hint: Use numpy.mean and numpy.std with default parameters. # Write your function here. Let's test your function. [ ] import numpy as np print (scale_vec (np.array([1, 3, 5]))) print (scale_vec (np.array([3.3, 1.2, -2.7, -0.6])))

find a counterexample for the statement,

In Kotlin, Write a function with an expression body that takes three doubles, a, b, and c, and returns True if c is the square root of (a squared plus b squared). You may use == to test for equality