A Boolean Algebra: Abstract and Concrete by A.P. Bowran

By A.P. Bowran

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Example text

What is the probability of a random shot leaving a halfpenny (diameter 1 inch) clear of a line? 9 Exercise. John's devotion wavered between Mary, who was mathematical, and Dora, who was dumb. They lived on the same bus route, but the girls lived on opposite sides of John. Mary suggested that, as buses ran every 12 minutes in each direction, it would be fair if John caught the first bus that came, and let that decide which girl he visited. John and Dora agreed that nothing could be fairer than that.

The soa acute angles {a), can be written {a I 0 < a < 7Tj2} and then the soa obtuse angles can be written as or as {,8 I ,8 {,8 I ,8 = a + 7T/2} = 7T - a} and we see that, if the a's in the soa acute angles are arranged in ascending order of magnitude, then so will the first set of obtuse angles be, but that the second will be in descending order. 13/5 Exercise.

Tom, Dick, and Harry} {Jack and Jill} ? {a, b, c, d, e} = {a, b, c, d} =? = the soa prime numbers = , , odd primes =? e. she must be a member of (L u C), where and L C = the soa good-looking girls = , good cooks , (II) differs from this in an obvious way, for he intends to wear one or the other, but not both. 43 (iii) SUPPLEMENTARY NOTES AND EXERCISES 57 Example (III) is again different. If B = the soa boys, and G = the soa girls, then the set (B n G) is an empty set. 5/2 Exercise. 5/3 and and also has its dangers.

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