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february 2021
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Programming Questions and Answers February 03, 2021

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4 Write a computer program that uses SQP method to find the minimum of f(x) x x subject to 91(x) a a90 and 92(x) x 10. Use a starting point of (z, y0) (2.56155,1.56155) and terminate each when f changes less than 0.00005. Notice that at the starting point both constraints are binding.

Explain FIVE (5) strategies that must be included in designing data backup and recovery. The primary issue in developing a recovery system is cost. By using an illustration, discuss the relationship between the cost estimating factor and the time recovery factor. Three distinct elements that should incorporate in up to date backup and recovery

What expression would create a line from (2,3) to (4,5) O a. Line ((2,3), (4,5)) O b. Line (2,4,3,5) O c. Line (Point (2, 3), Point (4,5)) O d. Line (2,3,4,5)

Write a Python program to do the following: Create an empty list named my_strings . Use a while loop to populate the my_strings list with as many strings as the user wishes to enter. The user should be able to stop the loop by entering the string EXIT . The list should only include the intended strings the user wants to add to the list. Note : You

Write a program that prints out the sum of the first 100 multiples of 5. Please note that you need to print out the first 100 multiples of 5, your last number is not 100. As you can see from the example below 5 to 20 is only 4 multiples of 5. You need to use the while loop to generate your output (5 10 15 20 ...) and final solution. Please dont

4. The following is an 8051 instruction ADD A, 34H a. What is the opcode for this instruction b. How many bytes long is this instruction c. Explain the purpose of each byte of this instruction. d. How many machine cycles are required to execute this instruction e. If an 8051 is operating from a 24MHz crystal, how long does this instruction take to

Given a program as following include using namespace std 1234 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 23456 16 Bint functionA() Bint main() 15, 25 In the main(), the values of x and y are 25, 40 static int a 10 a 15 return a 10, 15 O 25, 25 int x, yi x functionA() y functionA() return 0

10. Why is AES better than DES Explain. (5 points) 11. What advantage does MAC have over a normal cryptographic hash Explain with the help of an example. (5 points) 12. Explain by describing the keys used in the process of digital signature, how it provides a) Integrity b) Authentication c) Nonrepudiation (5X315 points)

Fill in the following table FunctionSeries f(n) 1 2 3 f(n) 1 1 INTIN 1413 180114 f(n) 1 2 1 1 n. 16 ... n Time Complexity

Write the terminology for the following algorithms complexity Terminology Algorithm Complexity 0(1) (log n) e(n) (n.logn)

Find the minimum spanning tree and its cost for the following graph 3 3 5 4 4 7 2 2

Find the shortest path and its length from the vertex 0 to the vertex 4 using Dijkstras Algorithm for the following weighted graph 11 7 8 2 8 6 3 14 5 10

What does the below do include include int main(void) char fnameArray50 50 int i for (i 0 i 5 i) scanf(s, fnameArrayi) for (i 0 i 5 i) printf( s , fnameArrayi) return 0

2. Give the pushdown automata for the following languages. Draw the automaton, write down the 6tuple for each of them, and provide a brief explanation why the automaton recognizes that particular language. (a) L w (0, 1) w contains at least three is (b) L w 0, 1 ww and length of w is odd

1) In a hypothetical system with 1024 bytes of main memory, 128 bytes of cache, blocks of 32byte size, with directmap (S 1) placement policy and LRU replacement policy, answer each of the following questions,e) Determine the hit ratio in running each of the following program segments (each instruction occupies a word) (briefly show your work) i)

4. a) Explain the packet filtering feature of firewall. (5 points) b) Explain how a packet filtering firewall can be used to block both incoming as well as outgoing pings on a network. (5 points) HINT Ping packets on a network uses ICMP protocol 5. a) What is a DMZ and why do we need it (5 points) b) How does it work Explain using a suitable

3. For the following figure, all the D flipflops have setup time as 2ns, hold time as 4ns, telkqmin 9ns and telkqmax 11ns. a) Assuming clock period as 25ns, determine (by using setup equation) if the circuit has setup violation. If there is set up violation, what should be the value of clock period to avoid setup violation. b) Determine (by

(a) A and B are two Fuzzy sets, which give as A 0.5, 0.37, 0.49, 0.86 and B(x) 0.12, 1.20, 0.20, 0.62. Find i) ii) iii) iv) v) AUB ANB B (AUB) (ANB) (b) Discuss the concept of membership functions in fuzzy sets. How do they represent the degree of membership of an element in a fuzzy set Provide an example to demonstrate your understanding. (c)

Write a Python function maxLessThan(root, K) , that accepts the root node of the binary search tree and a number K and returns the maximum number less than or equal to K in the tree. If K is the less than every number in the tree return None . Each node in the tree is an object of class Tree , and the tree will have at least one node.

Create a vector of 300 decimal numbers by prompting the user to enter each decimal number. Write a function that accepts this vector of 300 decimal numbers and returns the sum of all the numbers that are between 40 and 320 within this vector of decimal numbers. Test the use of these requirements by writing a complete C program.

Design two functions to perform the following tasks o One function must accept two parameters a pointer variable to point to this dynamic array with random values. an integer variable to show the size of the dynamic array to be created. The size of this dynamic array must be over 200. Another function is to return the average values in this

1. Convert the following infix notations to postfix notations. (5) (1) AxBCD (2) ABX(CD) (3) (ABC)XD 2. What is the advantage of virtual memory comparing to overlays (5)

a. Obtain the unit impulse response for the following system (Hint use impulse ( ) command to get the impulse response) B(s) 1 A(s) s 0.2s 1 b. Obtain the unit step response for the following system B(s) S A(s) s 0.2s 1 c. Why the results in a. and b. are same d. Find time domain specifications for B(s).

Use the Python code with Sidis method to find an approximate root of function f(x) 7 cos(x7) 4 sin(x2)e 6e 05, N 100 and (0.8, 1.6, 2.5, 3.7, 4.9). Make sure to use Google Colab to avoid different rounding errors from WeBWork. The approximated root is The number of iterations is 2200 with tolerance TOL

Consider the following recurrence relation A(0) 6, A(n) 2A(n1) 10 for n 1 Use the method of unraveling to find a closed form for A(n). Hint It may be helpful to use the formula i0

In a certain childrens card game, a player has a deck of 40 cards. Each of those 40 cards is either a monster card, a spell card, or a trap card (with each card being exactly one of these). This players 10 card deck has 19 monster cards, 15 spell cards, and 6 trap cards, that may or may not be distinct from one another (there are potentially

Consider that a uniprocessor system has 5 processes to be scheduled based on the following workload. a) Show the schedule using FCFS algorithm. b) Determine the average waiting time of the FCFS algorithm for the following work load when the overhead time is equal to 1 (Overhead 1). Process ID 1 2345 CBT NH6800 18 10 AT 0 2 5 8 11

A certain periodic signal has the following series 5 3 12m1 nodd K(0) 2 cos2nt sinz.n 11 11m1 n odd Applied to the circuit shown 1 Find Vo(t) 2 Draw line spectrum magnitude and phase for the output signal 3 Find the average power dissipated at the output resistance (1) IF 2020) 15 marks 12 marks 8 marks

Let the sequence defined by a 1, a2 8, an an1 2an2 for n 3 Prove that an 3 x 2n1 2(1)n for all n N a) What is the Inductive hypothesis b) What do you need to prove in Induction Step c) Construct the whole proof with the proof structure.

and frame size are 1024 Page Frame 4 5 0 1 2 3 4 8 1 3 Given the following PageMap Table (PMT), assume the page size a. What is the physical address associated with the logical address of 4, 130 b. What is the logical address associated with the physical address of 5200

For system shown knowing that H(jw)1(2jw) and H(jw)1(2jw) Find 1The overall transfer function Vo(jw)Vin(jw) 2the impulse response h(t) 3 Vo(t) if Vin(t)) 3 sin(2160) Vin hl(t) 5 marks 15 mark 15 mark h2(t) Vo

is 1024 and the frame size is 2048 Page 0 Frame 10 1 7 2 3 4 4 5 11 5 3 Given the following PageMap Table (PMT), assume the page size a. What is the physical address associated with the logical address of 5346 b. What is the logical address associated with the physical address of 10255

What is the output of the following Python code def fun (number) f 1 if number 0 return 1 else i 1 while(i

3. What does the following recursive algorithm compute Set up a recurrence relation for the running time of the algorithm and solve it using backward substitution. SAMSUN(al, a1,..., aj) input a sequence of integers if i j return a else mid (ij)2 temp1 SAMSUN(ai, ..., amid) temp2 SAMSUN(amida... ,aj) if temp1 s temp2 return temp1 else return

Write an algorithm (pseudo code) that will count the number of student pass in a class and the amount failed. The pass mark is more than or equal to 65. Suppose the number of students are 30 . The algorithm should output the amount fail and passed.

Consider the following transition diagram to convert it to DFA and answer the following questions DO q0 0,1 0,1 q1 92 a) Generate the NFA transition table b) Generate the DFA transition table c) Construct the DFA transition diagram q3 94,Consider the following transition diagram to convert it to DFA and answer the following questions DO q0 0,1 0,1

2. Consider the following graph, with negative edge weights, 1 J A 5 1 2 2 H B 1 1 1 5 C 10 2 G D 3 F 2 D 3 a. (5 pts) Will Dijkstras Algorithm work on this graph to calculate the singlesource shortest paths starting at vertex A If not, provide a specific example where it results in the wrong decision being made. E b. (10 pts) Apply the

Consider the following graph E F G A D B Processing vertices in alphabetical order (a) Represent the graph as an adjacenty list (b) Represent the graph as an adjacenty matrix (c) Run BFS on the graph (starting with A) and draw the BFS tree along with nontree edges. Label the levels of the tree corresponding to the distance from the root. (d) Run

Consider the following scheduling problem. We are given a set of n tasks task i has a processing time pi representing the number of units of time it takes to complete. There is one resource, which can process only one task at a time tasks cannot be interrupted once they begin. Let c be the completion time of task i, the time when task i completes

The following random variable is given. BE SURE TO READ THE PROBABILITIES CLOSELY. fxy(x,y) x y 3 a. (3 points) Find the marginal fx(y) b. (3 points) Find P(X 1 Y 12) c. (3 points) Find P(X 1 Y 12) 0

Write a C++ program to implement a Binary Search Tree (BST) class with the following functionalities: 1. Insert a node: Implement a function to insert a new node with a given value into the BST while maintaining the BST property. 2. Search for a value: Implement a function to search for a given value in the BST. The function should return true if

correct all of the syntax errors. Purpose A program with lots of syntax errors Correct all of the errors (STUDY the program carefully) Name int (input (Enter your name, please ) numberint (input ((What is your favorite number). numSqnumber number print (Name , the square of your number is numSquared)

What instruction will have the effect of zeroextending Answer .data byteVal BYTE 10001111b .code ax, byteVal AX 0000000010001111b Figure 41 shows how the source operand is zeroextended into the 16bit destination. FIGURE 41 Using to copy a byte into a 16bit destination. 0 00000000 10001111 10001111 Source Destination

2. Write a C program using loops to implement the following task. You can use either while or for loops a. Print all multiples of 7 between 1 and 100 b. Print all odd numbers between 70 and 91 c. Add all numbers between 2 and 300. Finally print the sum outside the loop d. Multiply all numbers between 100 and 2. Finally print the product outside

GCD circuit calculates the greatest common divisor (GCD) of two binary positive 4bit numbers. The operand registers, p and q, are initialized with the activation of a start signal, which commences the computation process. On completion of the computation, an output g and a signal done are asserted to indicate that the data on the GCD outputs are

Suppose you want to put the six bit value 001101 into a DES Sbox. What is the corresponding row of the Sbox substitution table What is the corresponding column What is the corresponding 4bit output (in decimal) for S1

Prove by induction on positive n that 71 i(i1) n n1

Using this figure, what will the state of ports 1 and 2 in Bridge 1 be after the STP has converged and the network is stabilized Bridge 1 1020163644ab C. Bridge 1040aaba204a20 a. 1 is blocking 2 is blocking b. 1 is blocking 2 is forwarding 1 is forwarding 2 is blocking Od. 1 is forwarding 2 is forwarding PC10 Bridge 1008a8b802f2d4a PC100 PC 100

Consider the lattice represented by the Hasse diagram below, and then see the questions below it d (a) Find the complements, if they exist, for each of the elements. (b) Is the lattice a complemented lattice (c) Find both of the following c V (b d) and c A (bv d)

Design the Coffee Machine class with required properties to produce the given output for the provided driver code. Write your code here cm1 CoffeeMachine(Miyako) cm1.insert Ingredients (Coffee beans, Milk, Sugar) print (cm1.getDetails()) Output Brand Name Miyako Ingredients Coffee beans, Milk, Sugar

4. The below TM can recognize the language A 0 n 0. When the input tape string is 000, please show the start and end configurations for this TM. (12 points) LIU, R xx, R 91 greject xx, R 0 L, R 0 0, L x x, L UU, R 92 LIU, R qaccept 95 LIE, L 0x, R 0x, R LIU, R 93 94 x x, R 00, R x x, R

Write a recursive method for the sequence 4,12, 36, 108,324,..... using syntax of Java that was taught in this course. Giving me any other programming language solutions will result in a zero. In your recursive method, it will take in a parameter for the nth term in the sequence. You only need to return the final nth term of the sequence. For

1. Consider this sequence of Python statements def linc (a,b2) return xb for x in a if type (x) is int 1,2, 3,4 x y linc (x) Z linc (x,1) print (x) print (y) print (z) a. Analyze the program using your brain (and paper and pencil but not a PC) to determine the output. b. Now, go ahead and check your answer by running the program. How did you do

2. Write a function called listInc that accepts a list of integers as an input parameter and returns a copy of the input list where each integer has been incremented by 1. Do it using a list comprehension. Examples a. listInc (7,2,4,8) will return 8,3,5,9 b. listInc (9,1,0.0,5) will return 10,0,6 Use list comprehension to create the list returned

6. Consider this sequence of Python statements... def iSort (x, n2) return sorted (x, keylambda a an) x (1, one, uno), (2, two, dos), (3, three, tres) y iSort (x) z iSort (x,1) print(x) print (y) print(z) a. Analyze the program to determine the output. b. Check your answer by running the program. c. Make sure you know the difference between the

a. Write a function called rotateForward that accepts a list as a parameter and uses a list comprehension to move the last element of the list into the first position. i. rotateForward(1,2,3,4) will return 4,1,2,3 ii. rotateForward(17, ok,0.0,x) will return x,17,ok,0.0 b. Write a function called rotateBackward that accepts a list as a parameter

8. Write a Python function called backSort () that will accept a list of strings and return a new list that has been sorted according to the last letter in each string. For example if z red yellow blue green black then backSort (z) will return red, blue, black, green, yellow

7. Write a Python statement that will sort a list of strings by the length of the string in place. For example if z bzz, z, cz, azzz then z will refer to www z, cz, bzz, azzz after the statement has executed.

4. Write single Python statements (list comprehensions) that will ... a. Remove the last item in list A and insert it at the beginning of list B For example,if A 1,2,3 and B 4,5,6 before the statement then after the statement A will contain 1,2 and B will contain 3,4,5,6 b. Remove the first item in list A and insert it at the end of list B For

Which ARM7TMI microprocessor register contains the four flags (C, V, N and Z flags) and what are their main functions What are the values of flags C, V, N and Z after the following sequence of instructions are executed Assume that initially all flags are RESET (set to Zero). MOV r2, 15 MOV r3, 10 MUL r4, r3, r2 ADDS r2, r4 MOV r4, 20 SUB r4, r3

2. Given the following recursive algorithm procedure sum(x, y) Input x nonnegative integer, y nonnegative integer Output xy nonnegative integer if y0 then return x else return sum(x, y1) 1 Prove that sum (x, y) returns xy for any nonnegative integers x and y.,2. Given the following recursive algorithm procedure sum(x, y) Input x nonnegative

Write a program that initializes and stores the following resistance values in an ArrayList named resistance 12, 16, 27, 39, 56, and 81. Your program should also create two additional Lists named current and power, each capable of storing six float numbers. Using a for loop and an input statement, have your program accept six userinput numbers in

1. Characterize each of the following recurrence equations using the master theorem (assuming that Textbook T(n) c for n d Content T(n) c for n1, and T(n) aT(nb) f(n) for n 1) Explain which case was used, and why. And provide the final results. a) T(n)25T(n5)n b) T(n) 36T(n6) (n log n) c) T(n)8T(n3) n (6 pts each for 18 pts total)

What is the result of F416 101112 1010 410 (Give your final answer in base 10)

Given a set of 7 job requests, (si, fi, bi), defining the start times, finish times, and benefits of each job 1(1, 2, 6), 2(1, 3, 8), 3(2, 4, 5), 4(3, 5, 6), 5(4, 6, 9), 6(6, 9, 7), 7(7, 9, 3) Note that the jobs area already ordered by end time (and by start time within same end time). Using dynamic programming, solve the job scheduling problem

Consider the following algorithm void sort(int A, int n) 1 int i 0, j, s 2 while(i

Write Python program that calculates the total price of an item based on the quantity ordered. Quantity discounts are shown in the following table Quantity 1019 2049 5099 100 Discount 20 30 40 50 The program should ask the user for the number of units sold and calculates the total cost.,Problem 2 (5 Points) Write Python program that lets the user

Write a Python program that calculate the bill discount based on the customer type according to the following table. Customer Type Employee Type Discount Doctor Nurse Police Teacher Other NA Employee 10 10 10 5 0 15 Student To calculate the final bill amount use the formula Total BillAmount (BillAmount Discount)

Write Python program using if elif else statement. The program reads one real number x. Then the program performs one operation according to the value of x and calculates y and prints the result as shown the following table Value of x 20100 010 (20)(1) Other values Calculations Required yx0.25 y 3x yx Error in Input

Write a method named size that returns the total number of nodes in a binary tree. Your method accepts as its parameter a TreeNode that refers to the root of the tree. For example, the following tree contains 8 nodes, so if a variable named tree refers to its root, the call of size (tree) would return 8 6 1 3 1 2 1 46 4 1 Assume that you are

Write a method size() that returns the number of elements in the linkedlist CupList. Write a method getNodeAt() that returns the reference to cup node object at a specific position given as a parameter of the method. Write a method, insert Pos(), to insert a new CupNode object at a specific position given as a parameter of the method. Write a

Construct a computation tree for the NFA in Figure 1 as it processes abbab. a 90 94 a b 91 93 b b 92 a 95 Figure 1 NFA N b) (20 pts) Construct a deterministic finite automaton equivalent to the dows nondeterministic finite automaton given in Figure 1. Go to Settings to activate W

4. Consider the sixstate Finite Automaton represented by the following table. b 4 state Start 1 2 3 Final 4 Final 5 Final 6 a 2 2 3 5 5 5 133FF 6 4 5 Convert this into an equivalent FA with the minimum possible number of states.

The parity check matrix of a (6,3) block code is given by 1 0 1 1 0 0 H 1 1 00 1 0 Determine the number of parity bits 01 1 001 and the number of information bits in the code and obtain 3 Boolean relationshpis between the parity and the information bits. Question 2 Determine the generator matrix, G, of the above (6,3) code and obtain all the

An organization is granted the following Class B address 128.56.0.0. The administrator wants to create 256 subnets. (a) (b) (c) (d) Determine the number of addresses in each subnet. Concisely present the network addresses of the subnets. Find the first and last addresses in the first subnet. Find the first and last addresses in the last subnet. 5

4 Write a program to calculate the product of the following series 1 1 1 1 17 21 25 1 1

1 Write a program that will calculate the product of three integers and print the result. 2 Write a program that will calculate the area of a triangle and print the output. Hint area.5 width height 3 The below program has errors, trace the below program and mention the errors include int main() int x,y,z, printf (enter the first initial )

4 Write a C program with a function that takes an array of floats as argument and calculates the product of all elements. Test the program with the array 1.1 2.2 3.3 4.4 5.5. Hint The length of the array is known inside the function since it was passed as an argument

Write a C program to calculate the Dot Product of two vectors a and b. Ask the user if the vectors are one or twodimensional. Store the vectors in arrays. For onedimensional vectors, calculate and print the dot product a. b ax x bx ay x by a b6 x 5 8 x 12 a b 30 96 a. b 66 YA b (6,8) 1 a. b ax x bx ay x by a x b 8 a b 9 x 4 2 x 8 7

2. Write a program to calculate multiplication of any number (from user) using recursion function. The output example is depicted in Figure 2. Please key in the multiplication table 12 Please key in the range 12 1 x 12 12 2 x 12 24 3 x 12 36 4 x 12 48 5 x 12 60 6 x 12 72 7 x 12 84 8 x 12 96 9 x 12 108 10 x 12 120 11 x 12 132 12 x 12

Write a program to calculate n for a given number n and perform the simple calculator operations. The valid operations of the calculator are add sub mul div The program must contain a function fact with one input parameter that returns the factorial of a number, a function add that performs the addition of two numbers, a function sub that

a. Write a C program to calculate x raised to the power x x b. square root of x x c. cosine of x cos(x) d. please include the math.h header file in your program e. The expected output Input an integer number 4 4 raised to the power 4 256 square root of 4 2 cosine of 4 0.9976

Consider the processor (on right) with twolevel cache hierarchy. Suppose that 65 of benchmark As instructions are accessed from the L1 cache, whereas the rest come from the L2 cache. A. What is the average access time for memory instructions in the benchmark B. If we change the L1 cache to be 4way set associative we increase its flexibility and

Consider the following truth table, which includes dont cares A B C 0 0 0 001 O O O 100 101 11 1 1 0 1 11 R 1 1 X X 0 0 1 X Draw a Karnaugh Map corresponding to this truth table, where R is the output. Draw boxes around the appropriate bits, following the appropriate rules for doing so. For full credit, you must draw boxes in a way that guarantees

5 1 3 Find a cycle that uses every edge exactly once. 2 4 6 Activate Windows

(a) Explain the difference between an Euler path and an Euler cycle. (b) Find the maximum number of comparisons to be made to find any record in a binary search tree which holds 3000 records. 3 (c) Explain what is meant by the term path. (d) The figure shows a network of cycle tracks. The number on each edge represents the length, in miles, of

Consider a graph G (V, E) with vertex set and edge set V (1, 22, 23) 21, 22, 23 0,1 (0,0,0), (0,0,1), (0, 1, 0), (0, 1, 1), (1, 0, 0), (1, 0, 1), (1, 1,0), (1,1,1) ((231, 232,33), (2, 23, 24)) (2combinations of V) sil1. E E 3 (a) 3 points Explicitly state the entries of E. (b) 3 points Draw a picture of the graph G. (c) 4 points What is

7) Assume the declaration of Exercise 6, shown below. (6 pts) class yClass mmmmm public void one() void two(int, int) yClass() private int a int b class xClass public yClass public void one() xClass() private int z yClass y xClass x a. Write the definition of the default constructor of yClass so that the private data members of yClass are

Write a program that lets the user perform arithmetic operations on fractions. Fractions are of the form ab, in which a and b are integers and b 0. Your program must be menu driven, allowing the user to select the operation (, , , or ) and input the numerator and denominator of each fraction. Furthermore, your program must consist of at least the
$Write a program that lets the user perform arithmetic operations on fractions. Fractions are of the form a/b,$

5) Each of the following expressions represents the number of operations for certain algorithms. What is the order of each of these expressions (12 pts) a. n 6n 4 b. 5n 2n 8 c. (n 1) (3n 5) d. 5(6n 4) e. n 2log2n 6 f. 4n log2n 3n 8

10. Characterize the following algorithm in terms of BigO notation. Also find the exact number of additions executed by the loop. (Assume that all variables are properly declared.) for (int i 1 i

1. Determine a recursive formula for the number of ways to tile a 2 x n rectangle using 2 x 1, 1 x 2, and 2 x 2 rectangles. Generate a list of the first 15 terms from the resulting sequence, and input this list into OEIS. Write down some interesting properties you found about this sequence of numbers. What about the number of ways to tile a 3 x n

1 Create a main function in C where you will define an integer variable x with an initial value of 100 and print on in the console. 2 Create an array Arr having 10 numbers and write a for loop to print these values on the console. 3 Create an infinite while loop which will increment the value of i by 1 for each iteration and print it. Terminate

4. Given the following recursive function and it corresponding helper function that returns the sum of all the elements of an array that are located at even subscripts int sumEvenElements (int array, int i) if (i array.length) return 0 return arrayisumEvenElements (array, i2) int sumEvenElements (int array) return sumEvenElments (array, 0)

1. Consider the following iterative function int square (int n) int result 0 for (int i 1 i

1.3 Convert the following conditional if statements to use the conditional ternary operator () if (grade0) else if (grade49) messageOops, student needs to rewrite else else if (grade50 grade

A stochastic gradient descent algorithm requires tuning of the learning rate parameter over time. Should we reduce it over time or increase it over time Explain either way. B (10 points) Explain intuitively, how the learning rate should be adjusted as a function of the minibatch size.,A stochastic gradient descent algorithm requires tuning of the

In this problem, we will implement logistic regression for classifying two classes (zero and one) from MNIST. You may not use any routines from PyTorch other than the ones that help download the data. Use Numpy to code up the optimization algorithm. (a) (0 points) First, prepare the dataset. Select all the samples belonging to the first two

Categorise the loads in cooling load calculations. 4.2 For an office 6 mx 3 mx 4 m high, the ambient conditions are dry bulb temperature (Tdb) 40C, wet bulb temperature (Two) 26C while the indoor conditions are T 22C and relative humidity 60. Further, it may be assumed that the office has a structural load of 6000 kJhr, 5 tube lights (ballast

write down the updating equation in SGD for w and b, for both unregularized logistic regression (15 points) and regularized logistic regression (5 points). In particular, at iteration t using one random data point (x, y) where x .....id, and y 0, 1 is the label, how do we compute w and 61 from w and bt (Q2) 20 points For step sizes 0.001,0.01,

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