Expand each of the following summation. one term for each Value of R. Simplify each term as For example, enter 1 + 4 +9 instead of 12 +22 +32 or 14. 8 1) Σ 2* k=0 = 0 2 Σ 12 - k=2 Sacr as pos
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- 2.a Σ : {c,A,G,T}, L = { w : w = CAG™T™C, m = j + n }. For example, CAGTTC E L; CTAGTC ¢ L because the symbols are not in the order specified by the characteristic function; CAGTT ¢ L because it does not end with c; and CAGGTTC € L because the number of T's do not equal the number of A's plus the number of G's. Prove that L¢ RLs using the RL pumping theorem.Complete the function ratio_similarity, which computes the ratio of "similarity" between two non-empty strings. The ratio is computed as follows: 2 (the number of matches of characters) / (total number of characters in both strings) The matches are determined in pairwise fashion. For example, consider the strings abcdef and abdce. The three characters at indexes 0, 1 and 4 match. Therefore, the similarity ratio is 2 * 3/(6 + 5) = 0.5454 .... Examples: Function Call string_similarity('abcdef', 'abdce') string_similarity('dragon', 'flagon') string_similarity('stony', 'stony') string_similarity('Stony Brook University', 'WolfieNet Secure') string_similarity('yabba dabba doo', 'bippity boppity boo') string_similarity('Wolfie the Seawolf', "What's...a Seawolf?") [ ] Return Value 3 4 5 # Test cases 6 print (string_similarity('abcdef', 'abdce')) 7 print (string_similarity('dragon' 1 'flagon')) 'stony')) 0.5454545454545454 0.6666666666666666 1.0 0.0 0.058823529411764705 0.4864864864864865 1…Expand the following sums; only perform multiplications and sums in each term, but do no additions between terms Place only one space between a number an adjacent addition operator. Consider the following sequence of sums (for n = 1,2, 3,...): Sa = term in sequence expanded term $1 = S2 = 83 S4 = 85 =
- 7. We usually write numbers in decimal form (or base 10), meaning numbers are composed using 10 different "digits" {0,1,.9). Sometimes though it is useful to write numbers in hexadecimal or base 16. Now there are 16 distinct digits that can be used to form numbers: {0,1,..,9,A,B,C,D,E,F}. So, for example, a 3 digit hexadecimal number might be 3B8. (a) How many 2-digit hexadecimals are there in which the first digit is E or F? Explain your answer in terms of the additive principle (using either events or sets). (b) Explain why your answer to the previous part is correct in terms of the multiplicative principle (using either events or sets). Why do both the additive and multiplicative principles give you the same answer? (c) How many 3-digit hexadecimals start with a letter (A-F) and end with a numeral (0-9)? Explain. (d) How many 3-digit hexadecimals start with a letter (A-F) or end with a numeral (0-9) (or both)? Explain.(Numerical) Write a program that tests the effectiveness of the rand() library function. Start by initializing 10 counters to 0, and then generate a large number of pseudorandom integers between 0 and 9. Each time a 0 occurs, increment the variable you have designated as the zero counter; when a 1 occurs, increment the counter variable that’s keeping count of the 1s that occur; and so on. Finally, display the number of 0s, 1s, 2s, and so on that occurred and the percentage of the time they occurred.Let A = {a, b, c} and B = {u, v}. Write a. A × B b. B × A
- Refer to the following code segment. show your solution. int arr[4]; for (int i = 0; i<4; i++) if (i%2 == 0) arr[i]=2*i; else arr[i]=i; What value is assigned to arr[0]? What value is assigned to arr[1]? What value is assigned to arr[2]? What value is assigned to arr[3]?sum = 0; for (int i = 1; i< n; i = sum++ || 2*i)le.com/forms/d/e/1FAlpQLSc6PlhZGOLJ4LOHo5cCGEf9HDChfQ-tT1bES-BKgkKu44eEnw/formResponse The following iterative sequence is defined for the set of positive integers: Sn/2 3n +1 ifn is odd if n is even Un = Using the rule above and starting with 13, we generate the following sequence: 13 u13 = 40 u40 =20 u20 = 10→ u10 =5 u5 = 16 u16 = 8 ug = 4 → Us =2 u2 =1. It can be seen that this sequence (starting at 13 and finishing at 1) contains 10 terms. The below function takes as input an integer n and returns the number of terms generated by the sequence starting at n. function i-Seq (n) u=n; i=%3; while u =1 if statement 1 u=u/2; else statement 2 end i=i+1; end statement 1 and statement 2 should be replaced by: None of the choices statement 1 is "mod(u,2)=D%3D0" and statement 2 is "u = 3*u+1;" statement 1 is "u%2" and statement 2 is "u = 3*u+1;" O statement 1 is "mod(n,2)=30" and statement 2 is "u = 3*n+1;"
- Q3: Interplanetary Spaceflight Milan Tusk is the richest person in the universe. After devoting decades of his life to further our space exploration technologies, he’s finally ready to retire. Being a space enthusiast, the first thing he wants to do is visit n planets p1, p2, …, pn, in this order. He’s currently on planet p0. Milan knows that the distance between planets pi and pi + 1 (for 0 ≤ i < n) is d[i]light years. His spaceship uses 1 tonne of fossil fuels per light year. He starts with a full tank and can fill up his tank at any of the n planets (but he must not run out in between two planets). There’s a huge cost to set up the spaceship for refuelling. Due to financial constraints (he’s not THAT rich), he can fill up his tank at most ktimes. In order to save money and make his spaceship lighter, Milan is looking for the smallest possible fuel tank that enables him to complete his space travel and reach planet pn. What is the smallest tank capacity that enables him to do so?…B/convert this equation below for coding in V.B? √√ tan¹(x) 1- Z= cos(x) + D.F 2- A = sinh G * H cos(x) cos F In(Q) 2 3- Y = | = T + VE Ilag(x) C² SA lag(s) 4- Fe** sin(x) - C² -* C * sec B#Solve it with C programing Suppose, you are working as a Data Entry Operator in a company. You have created a dataset that contains the names of N employees. Then your supervisor wants you to look for a particular employee by name. (Consider, every name in the data set is unique).Now your task is to write a program which will help you to find out the name which your supervisor is looking for.If found then print a message "Matched" otherwise print "Not Matched". (N.B: Without quotation) The first line of input will take an integer (N) which indicates the number of names in the dataset. Then the second line will take N space-separated strings. The third line of input will take another string as search value. Sample input:5rabbe sharif shazzad polash tutulsharif Sample output:Matched Sample input:4jahid nishat rasel shakibmunna Sample output:Not Matched
