The recursive formula for multiplication contains arithmetic expressions involving the operands and their left and right sets, such as the expression X _ R y + x Y _ R-X _ R Y _ R that appears in the left set of the product of " x " and " y ".
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Finally, how would you'make sure that the students really understand math'if they have to rely on the Calculator's reply but they have no practice in, and consequently no understanding of, processing such a simple arithmetic expressions ?-- talk ) 12 : 13, 20 November 2013 ( UTC)
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For example, a calculator program would look at an input such as " 12 * ( 3 + 4 ) ^ 2 " and split it into the tokens 12, *, (, 3, +, 4, ), ^, 2, each of which is a meaningful symbol in the context of an arithmetic expression.
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Examples : It replaces an " invoke " by the result of processing the invoked frame; it replaces an " assign " with nothing; and an " instantiate " becomes the ordinary text resulting from evaluating the frame parameter s assigned expression, which can be a concatenation of strings, arithmetic expressions, and nested frame parameters.
