in this subsectionwe explore two related applications of stacksthe first of which is for matching parentheses and grouping symbols in arithmetic expressions arithmetic expressions can contain various pairs of grouping symbolssuch as parentheses"(and ")braces"{and "}brackets"[and "]floor function symbolsceiling function symbolsand ,and and each opening symbol must match with its corresponding closing symbol for examplea left bracket"[,must match with corresponding right bracket"],as in the following expression[( ( )