An Introduction to Discrete Mathematics |
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Page 3
... alphabet , and Σ * is referred to as the set of all words over the alphabet Σ . It is also convenient to include in Σ * an empty word , denoted by 0 ( the Greek letter theta ) , and defined to be the word with no letters . = Of course ...
... alphabet , and Σ * is referred to as the set of all words over the alphabet Σ . It is also convenient to include in Σ * an empty word , denoted by 0 ( the Greek letter theta ) , and defined to be the word with no letters . = Of course ...
Page 4
... alphabet Σ , even if Σ does not contain actual letters of the Roman alphabet . ) For example , the length of the word aabab is 5 and the length of the binary word 11001010 is 8. Binary words of length 8 are especially important in ...
... alphabet Σ , even if Σ does not contain actual letters of the Roman alphabet . ) For example , the length of the word aabab is 5 and the length of the binary word 11001010 is 8. Binary words of length 8 are especially important in ...
Page 174
... alphabet Σ a ) = { 0 , 1 , 2 } . How many ternary words are there of length 8 ? ( Such words might be called ternary ... alphabet Σ 10. a ) = b ) { 0 , 1 , 2 , 3 } of length 8 ? How many words are there over the alphabet Σ of length at ...
... alphabet Σ a ) = { 0 , 1 , 2 } . How many ternary words are there of length 8 ? ( Such words might be called ternary ... alphabet Σ 10. a ) = b ) { 0 , 1 , 2 , 3 } of length 8 ? How many words are there over the alphabet Σ of length at ...
Contents
Sets Functions and Proof Techniques | 1 |
Logic and Logic Circuits | 61 |
Relations on Sets | 125 |
Copyright | |
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A U B A₁ a₂ according to Theorem algorithm alphabet argument bijection binary relation binary words binomial Boolean function choose coefficient compound statement connected graph consider contain count the number defined definition denote digit directed graph distinguishable balls distinguishable boxes equal Equation equivalence relation Eulerian circuit Example Exercises F T F finite state machine formula G₂ graph G Hasse diagram Hence input integers Justify your answer label logically equivalent maximal element minimum spanning tree multiplication rule natural numbers nonnegative integers number of edges number of elements one-to-one correspondence order isomorphism P₁ P₂ pairs partially ordered set partition positive integers possible problem proof Prove rational number real numbers recurrence relation S₁ S₂ Section sequence simple solution statement variables Suppose symbols tautology true truth table truth values unrestricted repetitions v₁ vertex vertices words of length