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#SetsU = {0,1,2,3,4,5,6,7,8,9}P = {1,2,3,4}Q = {4,5,6}R = {3,4,6,8,9}def set2bits(xs,us) :bs=[]for x in us :if x in xs :bs.append(1)else:bs.append(0)assert len(us) == len(bs)return bsdef union(set1,set2) :finalSet = set()bitList1 = set2bits(set1, U)bitList2 = set2bits(set2, U)for i in range(len(U)) :if(bitList1[i] or bitList2[i]) :finalSet.add(i)return finalSetdef intersection(set1,set2) :finalSet = set()bitList1 = set2bits(set1, U)bitList2 = set2bits(set2, U)for i in range(len(U)) :if(bitList1[i] and bitList2[i]) :finalSet.add(i)return finalSetdef compliment(set1) :finalSet = set()bitList = set2bits(set1, U)for i in range(len(U)) :if(not bitList[i]) :finalSet.add(i)return finalSetdef implication(a,b):return union(compliment(a), b)################################################################################################################# Problems 1-6 ###################################################################################################################################p \/ (q /\ r) = (p \/ q) /\ (p \/ r)def prob1():return union(P, intersection(Q,R)) == intersection(union(P,Q), union(P,R))#p /\ (q \/ r) = (p /\ q) \/ (p /\ r)def prob2():return intersection(P, union(Q,R)) == union(intersection(P,Q), intersection(P,R))#~(p /\ q) = ~p \/ ~qdef prob3():return compliment(intersection(P,R)) == union(compliment(P), compliment(R))#~(p \/ q) = ~p /\ ~qdef prob4():return compliment(union(P,Q)) == intersection(compliment(P), compliment(Q))#(p=>q) = (~q => ~p)def prob5():return implication(P,Q) == implication(compliment(Q), compliment(P))#(p => q) /\ (q => r) => (p => r)def prob6():return implication(intersection(implication(P,Q), implication(Q,R)), implication(P,R))print("Problem 1: ", prob1())print("Problem 2: ", prob2())print("Problem 3: ", prob3())print("Problem 4: ", prob4())print("Problem 5: ", prob5())print("Problem 6: ", prob6())'''Problem 1: TrueProblem 2: TrueProblem 3: TrueProblem 4: TrueProblem 5: TrueProblem 6: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}'''
# question3.pyfrom itertools import productV='∀'E='∃'def tt(f,n) :xss=product((0,1),repeat=n)print('function:',f.__name__)for xs in xss : print(*xs,':',int(f(*xs)))print('')# this is the logic for part A (p\/q\/r) /\ (p\/q\/~r) /\ (p\/~q\/r) /\ (p\/~q\/~r) /\ (~p\/q\/r) /\ (~p\/q\/~r) /\ (~p\/~q\/r) /\ (~p\/~q\/~r)def parta(p,q,r) :a=(p or q or r) and (p or q or not r) and (p or not q or r)and (p or not q or not r)b=(not p or q or r ) and (not p or q or not r) and (not p or not q or r) and (not p or not q or not r)c= a and breturn cdef partb(p,q,r) :a=(p or q and r) and (p or not q or not r) and (p or not q or not r)and (p or q or not r)b=(not p or q or r ) and (not p or q or not r) and (not p or not q or r) and (not p or not q or not r)c= a and breturn cprint("part A:")tt(parta,3)print("part B:")tt(partb,3)
# Function to check Armstrong numberdef is_armstrong_number(number):# Convert number to string to iterate over its digitsnum_str = str(number)# Calculate the sum of the cubes of each digitdigit_sum = sum(int(digit) ** len(num_str) for digit in num_str)# Compare the sum with the original numberif digit_sum == number:return Trueelse:return False# Prompt user for a numbernumber = int(input("Enter a number: "))# Check if the number is an Armstrong numberif is_armstrong_number(number):print(number, "is an Armstrong number.")else:print(number, "is not an Armstrong number.")
""" Currency Converter----------------------------------------"""import urllib.requestimport jsondef currency_converter(currency_from, currency_to, currency_input):yql_base_url = "https://query.yahooapis.com/v1/public/yql"yql_query = 'select%20*%20from%20yahoo.finance.xchange%20where%20pair' \'%20in%20("'+currency_from+currency_to+'")'yql_query_url = yql_base_url + "?q=" + yql_query + "&format=json&env=store%3A%2F%2Fdatatables.org%2Falltableswithkeys"try:yql_response = urllib.request.urlopen(yql_query_url)try:json_string = str(yql_response.read())json_string = json_string[2:json_string = json_string[:-1]print(json_string)yql_json = json.loads(json_string)last_rate = yql_json['query']['results']['rate']['Rate']currency_output = currency_input * float(last_rate)return currency_outputexcept (ValueError, KeyError, TypeError):print(yql_query_url)return "JSON format error"except IOError as e:print(str(e))currency_input = 1#currency codes : http://en.wikipedia.org/wiki/ISO_4217currency_from = "USD"currency_to = "TRY"rate = currency_converter(currency_from, currency_to, currency_input)print(rate)
print("hellur")
# Python Program to calculate the square rootnum = float(input('Enter a number: '))num_sqrt = num ** 0.5print('The square root of %0.3f is %0.3f'%(num ,num_sqrt))