A rational number is of the form m/n where m and n are integers. For example,...
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A rational number is of the form m/n where m and n are integers. For example, 2/3, 3/4,2/5,4/7, 3/8,5/9, 11/18,9/25 are some rational numbers. Show by contradiction that 2 is not a rational number. Let the input symbols in a finite automata be {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. Design a DFA that accepts all integers which are divisible by 3. (Hint: An integer is divisible by 3 if the sum of the digits is divisible by 3). A rational number is of the form m/n where m and n are integers. For example, 2/3, 3/4,2/5,4/7, 3/8,5/9, 11/18,9/25 are some rational numbers. Show by contradiction that 2 is not a rational number. Let the input symbols in a finite automata be {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. Design a DFA that accepts all integers which are divisible by 3. (Hint: An integer is divisible by 3 if the sum of the digits is divisible by 3).
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Proof by contradiction that 2 is not a rational number Assumption 2 is a rational number Definition A rational number is a number that can be expressed as a fraction of two integers where the denomina... View the full answer
Related Book For
Introduction to Algorithms
ISBN: 978-0262033848
3rd edition
Authors: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest
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