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‎CH6/Checkpoints

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#6.1
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(1) Reuse code; (2) Reduce complexity; (3) Easy to maintain
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#6.2
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You can define a function using def keyword followed by function name
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ex: def myFuction(param1):
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...statements...
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To inovke a function, just write it's name in the proper line
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#6.3
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def max(n1,n2):
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return n1 if n1>n2 else n2
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#6.4
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A call to a None function is always a statement itself(TRUE), but a call to a
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value-returning function is always a component of an expression(FALSE).
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#6.5
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Yes,we can have a return statement in in a None function.
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No,no syntax errors.
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#6.6
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The header begins with the def keyword, followed
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by the function’s name and parameters, and ends with a colon.
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The variables in the function header are known as formal parameters or simply parameters.
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A parameter is like a placeholder: When a function is invoked, you pass a value to the parameter.
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This value is referred to as an actual parameter or argument.
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#6.7
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(1) def computeSalesCommisions(salesAmount,salesRate):. Should return a value.
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(2) def printCalendar(month,year):. No return is needed.
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(3) def squarRoot(num):. Either print the result or return return it.
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(4) def isEven(n):. should return a value.
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(5) def computeMonthlyPayment(loanAmount,years,annualInterestRate):. Either print the result or return return it.
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(6) def upper(c):. No return is needed.
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#6.8
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8. Line 2, 5-10: not indented correctly.
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#6.9
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None.
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#6.10
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The program prints None, as min function does not return a value.
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#6.11
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In positional arguments, the arguments are passed in the same order as
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their respective parameters in the function header.
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In keyword arguments, passing each argument in the form name=value.
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#6.12
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f(1, p2 = 3, p3 = 4, p4 = 4): correct
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f(1, p2 = 3, 4, p4 = 4): wrong
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f(p1 = 1, p2 = 3, 4, p4 = 4): wrong
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f(p1 = 1, p2 = 3, p3 = 4, p4 = 4): correct
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f(p4 = 1, p2 = 3, p3 = 4, p1 = 4): correct
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#6.13
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A variable for an object is actually a reference to the object.
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When you invoke a function with arguments, the reference value of each argument is
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passed to the parameter. This is referred to as pass-by-value in programming terminology
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#6.14
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Yes.
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#6.15
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(a) 0
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(b)
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2
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2 4
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2 4 8
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2 4 8 16
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2 4 8 16 32
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(c)
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Before the call, variable times is 3
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n = 3
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Welcome to CS!
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n = 2
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Welcome to CS!
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n = 1
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Welcome to CS!
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After the call, variable times is 3
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(d)
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i is 1
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1
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i is 2
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2 1
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i is 3
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then an infinite loop
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i is 1
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1
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i is 2
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2 1
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i is 3
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#6.16
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-Before invoking max, the stack contains the space required for the main function
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with max variable = 0.
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-In the max function, the first element in the stack is the space required for max function
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with variables max = 0, value 1 =1 and value2 = 2. The next element in the stack is the
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space required for main function with max variable = 0.
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-Before max return statement, the elements are the same except that max = 2 in the space of max function.
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-Return back to main function, the stack contains only space required for main function with max = 0.
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#6.17
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(a)
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2
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3.4
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2
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4
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(b)
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3
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6
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5
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#6.18
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The variables x and y which are used in lines 8 and 9 are not
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defined outside the function.
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#6.19
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Yes. It prints y is 1
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#6.20
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1 2
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5 2
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1 24
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4 5
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#6.21
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The parameter n (has non-default argument) should be defined before parameter message(has a default argument).
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#6.22
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The later definition replaces the previous definitions.
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#6.23
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Yes.
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14 4 45 1.8
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#6.24
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random.randint(34, 55)
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#6.25
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chr(random.randint(ord('B'),ord('M')))
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#6.26
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6.5 + random.random() *49.9
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#6.27
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chr(random.randint(ord('a'),ord('z')))

‎CH6/EX6.1.py

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# 6.1 (Math: pentagonal numbers) A pentagonal number is defined as for
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# and so on. So, the first few numbers are 1, 5, 12, 22, .... Write a
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# function with the following header that returns a pentagonal number:
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# def getPentagonalNumber(n):
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# Write a test program that uses this function to display the first 100 pentagonal
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# numbers with 10 numbers on each line.
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def getPentagonalNumber(n):
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num = n * (3 * n - 1) / 2
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return int(num)
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def main():
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count = 1
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for i in range(1, 101):
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print(getPentagonalNumber(i), end=' ')
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if count % 10 == 0:
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print()
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count = 0
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count += 1
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main()

‎CH6/EX6.10.py

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# 6.10 (Use the isPrime Function) Listing 6.7, PrimeNumberFunction.py, provides the
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# isPrime(number) function for testing whether a number is prime. Use this
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# function to find the number of prime numbers less than 10,000.
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from CH6Module import MyFunctions
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count = 0
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for i in range(1, 10001):
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if MyFunctions.isPrime(i):
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count += 1
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print("The number of primes less than 10,000 is", count)

‎CH6/EX6.11.py

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# 6.11 (Financial application: compute commissions) Write a function that computes
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# the commission, using the scheme in Exercise 5.39. The header of the function is:
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# def computeCommission(salesAmount):
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# Write a test program that displays the following table:
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# Sales Amount Commission
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# 10000 900.0
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# 15000 1500.0
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# ...
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# 95000 11100.0
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# 100000 11700.0
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from CH6Module import MyFunctions
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print("Sales Amount\t\tCommission")
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salesAmount = 10000
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for i in range(1, 20):
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print(salesAmount, format(" ", "14s"), format(MyFunctions.computeCommission(salesAmount), ".1f"))
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salesAmount += 5000

‎CH6/EX6.12.py

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# 6.12 (Display characters) Write a function that prints characters using the following
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# header:
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# def printChars(ch1, ch2, numberPerLine):
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# This function prints the characters between ch1 and ch2 with the specified
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# numbers per line. Write a test program that prints ten characters per line from 1
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# to Z.
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def printChars(ch1, ch2, numberPerLine):
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count = 1
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for i in range(ord(ch1), ord(ch2)+1):
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print(chr(i), end=" ")
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if count % numberPerLine == 0:
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print()
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count += 1
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printChars("1", "z", 10)

‎CH6/EX6.13.py

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# 6.13 (Sum series) Write a function to compute the following series:
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# Write a test program that displays the following table:
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# i m(i)
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# 1 0.5000
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# 2 1.1667
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# ...
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# 19 16.4023
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# 20 17.3546
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def sumSeries(i):
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sum = 0
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for i in range(1, i + 1):
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sum += i / (i + 1)
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return sum
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def main():
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print("i\t m(i)")
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for i in range(1, 21):
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print(format(i, "-0.0f"), format(" ", "4s"), format(sumSeries(i), ".4f"))
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main()

‎CH6/EX6.14.py

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# 6.14 (Estimate ) can be computed using the following series:
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# Write a function that returns m(i) for a given i and write a test program that displays
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# the following table:
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# i m(i)
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# 1 4.0000
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# 101 3.1515
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# 201 3.1466
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# 301 3.1449
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# 401 3.1441
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# 501 3.1436
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# 601 3.1433
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# 701 3.1430
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# 801 3.1428
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# 901 3.1427
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from CH6Module import MyFunctions
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def main():
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print("i\t\t\t m(i)")
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for i in range(1, 1001, 100):
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print(format(i, ".0f"), "\t\t", format(MyFunctions.computePi(i), "-3.4f"))
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main()

‎CH6/EX6.15.py

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# 6.15 (Financial application: print a tax table) Listing 4.7, ComputeTax.py, gives a
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# program to compute tax. Write a function for computing tax using the following
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# header:
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# def computeTax (status, taxableIncome ):
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# Use this function to write a program that prints a tax table for taxable income from
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# 50,000ドル to 60,000ドル with intervals of 50ドル for all four statuses, as follows:
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# Taxable Single Married Married Head of
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# Income Joint Separate a House
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# 50000 8688 6665 8688 7352
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# 50050 8700 6673 8700 7365
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# ...
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# 59950 11175 8158 11175 9840
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# 60000 11188 8165 11188 9852
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from CH6Module import MyFunctions
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print("Taxable\t\tSingle\t\tMarried\t\tMarried\t\tHead of")
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print("Income\t\t\t\t\tJoint\t\tSeparate\ta House")
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for i in range(50000, 60001, 50):
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print(i, "\t ", MyFunctions.computeTax(0, i), "\t", MyFunctions.computeTax(1, i),
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"\t", MyFunctions.computeTax(2, i), "\t", MyFunctions.computeTax(3, i))

‎CH6/EX6.16.py

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# 6.16 (Number of days in a year) Write a function that returns the number of days in a
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# year using the following header:
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# def numberOfDaysInAYear(year):
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# Write a test program that displays the number of days in the years from 2010 to
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# 2020.
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from CH6Module import MyFunctions
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for year in range(2010, 2021):
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print(year, "has", MyFunctions.numberOfDaysInAYear(year))

‎CH6/EX6.17.py

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# *6.17 (The MyTriangle module) Create a module named MyTriangle that contains
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# the following two functions:
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# # Returns true if the sum of any two sides is
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# # greater than the third side.
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# def isValid(side1, side2, side3):
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# # Returns the area of the triangle.
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# def area(side1, side2, side3):
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# Write a test program that reads three sides for a triangle and computes the area if the
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# input is valid. Otherwise, it displays that the input is invalid. The formula for computing
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# the area of a triangle is given in Exercise 2.14.
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from CH6Module import MyFunctions
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s1, s2, s3 = eval(input("Enter three sides in double: "))
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if MyFunctions.isValid(s1, s2, s3):
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print("The area of the triangle is", MyFunctions.area(s1, s2, s3))
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else:
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print("Input is invalid")

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