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Mathematics, 11.02.2020 20:42 gomez1718
Simple expressions use the arithmetic operators + and *, with both numbers and variables allowed as operands. the recursive definition of such expressions is as follows:
1) Any number or letter (i. e., a variable) is an expression.
2) if E and F are expressions, then so are E+F, E*F, and (E)
For example, both 2 and x are expressions by the basis. The inductive step tells us x+2, (x+2), and 2*(x+2) are all expressions. Notice how each of these expressions depends on the previous ones being expressions. Prove that every expression has an equal number of left and right parentheses.
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